0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n170.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:38:09 CST 2018
16.81/17.08	% done 1248 iterations in 16.876s
16.81/17.08	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
16.81/17.08	% SZS output start Refutation
16.81/17.09	tff('thm/sets/BIJECTIONS_CARD_EQ_', conjecture,
16.81/17.09	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
16.81/17.09	     (((![A4:B]:
16.81/17.09	          ('const/sets/IN'(B,A4,A1) =>
16.81/17.09	           ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
16.81/17.09	       (![A4:A]:
16.81/17.09	          ('const/sets/IN'(A,A4,A0) =>
16.81/17.09	           ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
16.81/17.09	       ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
16.81/17.09	      ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1))))).
16.81/17.09	tff(zf_stmt_0, negated_conjecture,
16.81/17.09	  (~
16.81/17.09	    (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
16.81/17.09	       (((![A4:B]:
16.81/17.09	            ('const/sets/IN'(B,A4,A1) =>
16.81/17.09	             ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
16.81/17.09	         (![A4:A]:
16.81/17.09	            ('const/sets/IN'(A,A4,A0) =>
16.81/17.09	             ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
16.81/17.09	         ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
16.81/17.09	        ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1)))))).
16.81/17.09	tff('0', plain,
16.81/17.09	    ('const/sets/FINITE'(sk_B, sk_A1) | 'const/sets/FINITE'(sk_A, sk_A0)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.81/17.09	tff('thm/sets/HAS_SIZE_', axiom,
16.81/17.09	  (![A:$tType,A0:(A > $o),A1:'type/nums/num']:
16.81/17.09	     ('const/sets/HAS_SIZE'(A,A0,A1) <=>
16.81/17.09	      (('const/sets/CARD'(A,A0) = A1) & 'const/sets/FINITE'(A,A0))))).
16.81/17.09	tff('1', plain,
16.81/17.09	    ![X1 : $tType, X2 : X1 > $o, X3 : 'type/nums/num']:
16.81/17.09	      ('const/sets/HAS_SIZE'(X1, X2, X3)
16.81/17.09	       | ~ 'const/sets/FINITE'(X1, X2)
16.81/17.09	       | 'const/sets/CARD'(X1, X2) != X3),
16.81/17.09	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
16.81/17.09	tff('2', plain,
16.81/17.09	    ![X1 : $tType, X2 : X1 > $o]:
16.81/17.09	      (~ 'const/sets/FINITE'(X1, X2)
16.81/17.09	       | 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(X1, X2))),
16.81/17.09	    inference('simplify', [status(thm)], ['1'])).
16.81/17.09	tff('3', plain,
16.81/17.09	    ![X20 : sk_A]:
16.81/17.09	      ('const/sets/IN'(sk_B, sk_A2(X20), sk_A1)
16.81/17.09	       | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.81/17.09	tff('thm/sets/BIJECTIONS_HAS_SIZE_EQ_', axiom,
16.81/17.09	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
16.81/17.09	     (((![A4:A]:
16.81/17.09	          ('const/sets/IN'(A,A4,A0) =>
16.81/17.09	           ('const/sets/IN'(B,A2(A4),A1) & (A3(A2(A4)) = A4)))) & 
16.81/17.09	       (![A4:B]:
16.81/17.09	          ('const/sets/IN'(B,A4,A1) =>
16.81/17.09	           ('const/sets/IN'(A,A3(A4),A0) & (A2(A3(A4)) = A4))))) =>
16.81/17.09	      (![A4:'type/nums/num']:
16.81/17.09	         ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))))).
16.81/17.09	tff(zf_stmt_1, axiom,
16.81/17.09	  (('const/sets/IN'(A,A4,A0) =>
16.81/17.09	    ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1))) =>
16.81/17.09	   zip_tseitin0(B,A,A4,A3,A2,A1,A0))).
16.81/17.09	tff('4', plain,
16.81/17.09	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
16.81/17.09	      X9 : X4 > $o, X10 : X5 > $o]:
16.81/17.09	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
16.81/17.09	       | 'const/sets/IN'(X5, X6, X10)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_1])).
16.81/17.09	tff(zf_stmt_2, axiom,
16.81/17.09	  (('const/sets/IN'(B,A4,A1) =>
16.81/17.09	    ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0))) =>
16.81/17.09	   zip_tseitin1(B,A,A4,A3,A2,A1,A0))).
16.81/17.09	tff('5', plain,
16.81/17.09	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
16.81/17.09	      X10 : X5 > $o, X11 : X4]:
16.81/17.09	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
16.81/17.09	       | 'const/sets/IN'(X4, X11, X9)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_2])).
16.81/17.09	tff(zf_stmt_3, type, zip_tseitin2 :
16.81/17.09	    !>[B:$tType,A:$tType]: (('type/nums/num' * B > $o * A > $o) > $o)).
16.81/17.09	tff(zf_stmt_4, axiom,
16.81/17.09	  (zip_tseitin2(B,A,A4,A1,A0) =>
16.81/17.09	   ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))).
16.81/17.09	tff(zf_stmt_5, type, zip_tseitin1 :
16.81/17.09	    !>[B:$tType,A:$tType]: ((B * B > A * A > B * B > $o * A > $o) > $o)).
16.81/17.09	tff(zf_stmt_6, type, zip_tseitin0 :
16.81/17.09	    !>[B:$tType,A:$tType]: ((A * B > A * A > B * B > $o * A > $o) > $o)).
16.81/17.09	tff(zf_stmt_7, axiom,
16.81/17.09	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
16.81/17.09	     (((![A4:B]: zip_tseitin1(B,A,A4,A3,A2,A1,A0)) & 
16.81/17.09	       (![A4:A]: zip_tseitin0(B,A,A4,A3,A2,A1,A0))) =>
16.81/17.09	      (![A4:'type/nums/num']: zip_tseitin2(B,A,A4,A1,A0))))).
16.81/17.09	tff('6', plain,
16.81/17.09	    ![X13 : $tType, X14 : $tType, X15 : 'type/nums/num', X16 : X13 > $o, 
16.81/17.09	      X17 : X14 > $o, X18 : X13 > X14, X19 : X14 > X13]:
16.81/17.09	      (zip_tseitin2(X13, X14, X15, X16, X17)
16.81/17.09	       | ~ zip_tseitin1(X13, X14, sk_A41(X13, X14, X18, X19, X16, X17), X18, 
16.81/17.09	             X19, X16, X17)
16.81/17.09	       | ~ zip_tseitin0(X13, X14, sk_A4(X13, X14, X18, X19, X16, X17), X18, 
16.81/17.09	             X19, X16, X17)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_7])).
16.81/17.09	tff('7', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.81/17.09	      X5 : X2 > X0, X6 : 'type/nums/num']:
16.81/17.09	      (~ $true
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
16.81/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
16.81/17.09	             X1)
16.81/17.09	       | zip_tseitin2(X2, X0, X6, X3, X1)),
16.81/17.09	    inference('sup-', [status(thm)], ['5', '6'])).
16.81/17.09	tff('8', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.81/17.09	      X5 : X2 > X0, X6 : 'type/nums/num']:
16.81/17.09	      (zip_tseitin2(X2, X0, X6, X3, X1)
16.81/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
16.81/17.09	             X1)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)),
16.81/17.09	    inference('simplify', [status(thm)], ['7'])).
16.81/17.09	tff('9', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.81/17.09	      X5 : X2 > X0, X6 : 'type/nums/num']:
16.81/17.09	      (~ $true
16.81/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
16.81/17.09	       | zip_tseitin2(X2, X0, X6, X3, X1)),
16.81/17.09	    inference('sup-', [status(thm)], ['4', '8'])).
16.81/17.09	tff('10', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.81/17.09	      X5 : X2 > X0, X6 : 'type/nums/num']:
16.81/17.09	      (zip_tseitin2(X2, X0, X6, X3, X1)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
16.81/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)),
16.81/17.09	    inference('simplify', [status(thm)], ['9'])).
16.81/17.09	tff('11', plain,
16.81/17.09	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
16.81/17.09	      X12 : 'type/nums/num']:
16.81/17.09	      (~ 'const/sets/HAS_SIZE'(X4, X9, X12)
16.81/17.09	       | 'const/sets/HAS_SIZE'(X5, X10, X12)
16.81/17.09	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_4])).
16.81/17.09	tff('12', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.81/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.81/17.09	      (~ $true
16.81/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X6, X5, X3, X1), X1)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.81/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, X4)),
16.81/17.09	    inference('sup-', [status(thm)], ['10', '11'])).
16.81/17.09	tff('13', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.81/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.81/17.09	      (~ 'const/sets/HAS_SIZE'(X2, X3, X4)
16.81/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.81/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X6, X5, X3, X1), X1)),
16.81/17.09	    inference('simplify', [status(thm)], ['12'])).
16.81/17.09	tff('14', plain,
16.81/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
16.81/17.09	      ('const/sets/CARD'(X1, X2) = X0 | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
16.81/17.09	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
16.81/17.09	tff('15', plain,
16.81/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.81/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.81/17.09	      (~ $true
16.81/17.09	       | 'const/sets/IN'(X1, sk_A4(X3, X1, X6, X5, X4, X2), X2)
16.81/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.81/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.81/17.09	    inference('sup-', [status(thm)], ['13', '14'])).
16.81/17.09	tff('16', plain,
16.81/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.81/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.81/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.81/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)
16.81/17.09	       | 'const/sets/IN'(X1, sk_A4(X3, X1, X6, X5, X4, X2), X2)),
16.81/17.09	    inference('simplify', [status(thm)], ['15'])).
16.81/17.09	tff('17', plain,
16.81/17.09	    'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_B, sk_A1),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.81/17.09	tff('18', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.81/17.09	      X5 : X2 > X0]:
16.81/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(X0, X1)
16.81/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)
16.81/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, 'const/sets/CARD'(sk_B, sk_A1))),
16.81/17.09	    inference('sup-', [status(thm)], ['16', '17'])).
16.81/17.09	tff('19', plain,
16.81/17.09	    ![X20 : sk_A]:
16.81/17.09	      (sk_A3(sk_A2(X20)) = X20 | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.81/17.09	tff('20', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A]:
16.81/17.09	      (~ $true
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
16.81/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.81/17.09	       | 'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_A, sk_A0)
16.81/17.09	       | sk_A3(sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)))
16.81/17.09	          = sk_A4(X0, sk_A, X3, X2, X1, sk_A0)),
16.81/17.09	    inference('sup-', [status(thm)], ['18', '19'])).
16.81/17.09	tff('21', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A]:
16.81/17.09	      (sk_A3(sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)))
16.81/17.09	        = sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.81/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))),
16.81/17.09	    inference('simplify', [status(thm)], ['20'])).
16.81/17.09	tff('22', plain,
16.81/17.09	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
16.81/17.09	      X9 : X4 > $o, X10 : X5 > $o]:
16.81/17.09	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
16.81/17.09	       | X7(X8(X6)) != X6
16.81/17.09	       | ~ 'const/sets/IN'(X4, X8(X6), X9)),
16.81/17.09	    inference('cnf', [status(esa)], [zf_stmt_1])).
16.81/17.09	tff('23', plain,
16.81/17.09	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
16.81/17.09	      X9 : X4 > $o, X10 : X5 > $o, X11 : X4 > X5, X12 : X5 > X4]:
16.81/17.09	      (X12 != X8
16.81/17.09	       | X11 != X7
16.81/17.09	       | zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
16.81/17.09	       | X11(X12(X6)) != X6
16.81/17.09	       | ~ 'const/sets/IN'(X4, X12(X6), X9)),
16.81/17.09	    inference('ho.purify_applied_variable', [status(thm)], ['22'])).
16.81/17.09	tff('24', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.81/17.09	      X4 : sk_B > $o, X5 : sk_A > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A]:
16.81/17.09	      (sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.81/17.09	        != sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.81/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
16.81/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.81/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)), 
16.81/17.09	             X4)
16.81/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), X7, 
16.81/17.09	           X6, X4, X5)
16.81/17.09	       | sk_A3 != X7
16.81/17.09	       | sk_A2 != X6),
16.81/17.09	    inference('sup-', [status(thm)], ['21', '23'])).
16.81/17.09	tff('25', plain,
16.81/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.81/17.09	      X4 : sk_B > $o, X5 : sk_A > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A]:
16.81/17.09	      (sk_A2 != X6
16.81/17.09	       | sk_A3 != X7
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), X7, 
16.91/17.09	           X6, X4, X5)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)), 
16.91/17.09	             X4)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))),
16.91/17.09	    inference('simplify', [status(thm)], ['24'])).
16.91/17.09	tff('26', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, X4)),
16.91/17.09	    inference('sup-', [status(thm)], ['8', '11'])).
16.91/17.09	tff('27', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)),
16.91/17.09	    inference('simplify', [status(thm)], ['26'])).
16.91/17.09	tff('28', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)
16.91/17.09	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.91/17.09	    inference('sup-', [status(thm)], ['27', '14'])).
16.91/17.09	tff('29', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.91/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)),
16.91/17.09	    inference('simplify', [status(thm)], ['28'])).
16.91/17.09	tff('30', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.91/17.09	      X5 : X2 > X0]:
16.91/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(X0, X1)
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, 'const/sets/CARD'(sk_B, sk_A1))),
16.91/17.09	    inference('sup-', [status(thm)], ['29', '17'])).
16.91/17.09	tff('31', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X0, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X2, X1, X0, sk_A0)), X0)
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X0, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | 'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_A, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['25', '30'])).
16.91/17.09	tff('32', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X2, X1, X0, sk_A0)), X0)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X0, 'const/sets/CARD'(sk_B, sk_A1))),
16.91/17.09	    inference('simplify', [status(thm)], ['31'])).
16.91/17.09	tff('33', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '32'])).
16.91/17.09	tff('34', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['33'])).
16.91/17.09	tff('35', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), sk_A0)),
16.91/17.09	    inference('eq_res', [status(thm)], ['18'])).
16.91/17.09	tff('36', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('clc', [status(thm)], ['34', '35'])).
16.91/17.09	tff('37', plain,
16.91/17.09	    ![X21 : sk_B]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A3(X21), sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
16.91/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.91/17.09	tff('38', plain,
16.91/17.09	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
16.91/17.09	      X12 : 'type/nums/num']:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X5, X10, X12)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X4, X9, X12)
16.91/17.09	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
16.91/17.09	    inference('cnf', [status(esa)], [zf_stmt_4])).
16.91/17.09	tff('39', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X6, X5, X3, X1), X1)
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)),
16.91/17.09	    inference('sup-', [status(thm)], ['10', '38'])).
16.91/17.09	tff('40', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X6, X5, X3, X1), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['39'])).
16.91/17.09	tff('41', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X3, sk_A4(X1, X3, X6, X5, X2, X4), X4)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.91/17.09	    inference('sup-', [status(thm)], ['40', '14'])).
16.91/17.09	tff('42', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A4(X1, X3, X6, X5, X2, X4), X4)),
16.91/17.09	    inference('simplify', [status(thm)], ['41'])).
16.91/17.09	tff('43', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, 
16.91/17.09	      X4 : sk_B > X1]:
16.91/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != X0
16.91/17.09	       | 'const/sets/IN'(X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X2)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
16.91/17.09	    inference('sup-', [status(thm)], ['42', '17'])).
16.91/17.09	tff('44', plain,
16.91/17.09	    ![X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, X4 : sk_B > X1]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X2)),
16.91/17.09	    inference('simplify', [status(thm)], ['43'])).
16.91/17.09	tff('45', plain,
16.91/17.09	    ![X21 : sk_B]:
16.91/17.09	      (sk_A2(sk_A3(X21)) = X21 | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
16.91/17.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
16.91/17.09	tff('46', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)))
16.91/17.09	          = sk_A41(sk_B, X0, X3, X2, sk_A1, X1)),
16.91/17.09	    inference('sup-', [status(thm)], ['44', '45'])).
16.91/17.09	tff('47', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0]:
16.91/17.09	      (sk_A2(sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)))
16.91/17.09	        = sk_A41(sk_B, X0, X3, X2, sk_A1, X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['46'])).
16.91/17.09	tff('48', plain,
16.91/17.09	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
16.91/17.09	      X10 : X5 > $o, X11 : X4]:
16.91/17.09	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
16.91/17.09	       | X8(X7(X11)) != X11
16.91/17.09	       | ~ 'const/sets/IN'(X5, X7(X11), X10)),
16.91/17.09	    inference('cnf', [status(esa)], [zf_stmt_2])).
16.91/17.09	tff('49', plain,
16.91/17.09	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
16.91/17.09	      X10 : X5 > $o, X11 : X4, X12 : X5 > X4, X13 : X4 > X5]:
16.91/17.09	      (X13 != X7
16.91/17.09	       | X12 != X8
16.91/17.09	       | zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
16.91/17.09	       | X12(X13(X11)) != X11
16.91/17.09	       | ~ 'const/sets/IN'(X5, X13(X11), X10)),
16.91/17.09	    inference('ho.purify_applied_variable', [status(thm)], ['48'])).
16.91/17.09	tff('50', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0, 
16.91/17.09	      X4 : sk_A > $o, X5 : sk_B > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A]:
16.91/17.09	      (sk_A41(sk_B, X0, X3, X2, sk_A1, X1)
16.91/17.09	        != sk_A41(sk_B, X0, X3, X2, sk_A1, X1)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)), 
16.91/17.09	             X4)
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, X0, X3, X2, sk_A1, X1), X7, 
16.91/17.09	           X6, X5, X4)
16.91/17.09	       | sk_A2 != X6
16.91/17.09	       | sk_A3 != X7),
16.91/17.09	    inference('sup-', [status(thm)], ['47', '49'])).
16.91/17.09	tff('51', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0, 
16.91/17.09	      X4 : sk_A > $o, X5 : sk_B > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X7
16.91/17.09	       | sk_A2 != X6
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, X0, X3, X2, sk_A1, X1), X7, 
16.91/17.09	           X6, X5, X4)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)), 
16.91/17.09	             X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['50'])).
16.91/17.09	tff('52', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)),
16.91/17.09	    inference('sup-', [status(thm)], ['6', '38'])).
16.91/17.09	tff('53', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['52'])).
16.91/17.09	tff('54', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)
16.91/17.09	       | ~ zip_tseitin1(X1, X3, sk_A41(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.91/17.09	    inference('sup-', [status(thm)], ['53', '14'])).
16.91/17.09	tff('55', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ zip_tseitin1(X1, X3, sk_A41(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)
16.91/17.09	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)),
16.91/17.09	    inference('simplify', [status(thm)], ['54'])).
16.91/17.09	tff('56', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, 
16.91/17.09	      X4 : sk_B > X1]:
16.91/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != X0
16.91/17.09	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)
16.91/17.09	       | ~ zip_tseitin1(sk_B, X1, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
16.91/17.09	    inference('sup-', [status(thm)], ['55', '17'])).
16.91/17.09	tff('57', plain,
16.91/17.09	    ![X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, X4 : sk_B > X1]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ zip_tseitin1(sk_B, X1, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)
16.91/17.09	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)),
16.91/17.09	    inference('simplify', [status(thm)], ['56'])).
16.91/17.09	tff('58', plain,
16.91/17.09	    ![X0 : sk_A > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X2, X1, sk_A1, X0), X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, X0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, X0)), X0)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X2, X1, sk_A1, X0), 
16.91/17.09	             X2, X1, sk_A1, X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, X0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('sup-', [status(thm)], ['51', '57'])).
16.91/17.09	tff('59', plain,
16.91/17.09	    ![X0 : sk_A > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X2, X1, sk_A1, X0), X2, 
16.91/17.09	           X1, sk_A1, X0)
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, X0)), X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, X0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X2, X1, sk_A1, X0), X0)),
16.91/17.09	    inference('simplify', [status(thm)], ['58'])).
16.91/17.09	tff('60', plain,
16.91/17.09	    ![X0 : sk_A > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X2, X1, sk_A1, X0), X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, X0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, X0)), X0)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2),
16.91/17.09	    inference('clc', [status(thm)], ['59', '4'])).
16.91/17.09	tff('61', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['37', '60'])).
16.91/17.09	tff('62', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['61'])).
16.91/17.09	tff('63', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['62', '44'])).
16.91/17.09	tff('64', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['63', '19'])).
16.91/17.09	tff('65', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('simplify', [status(thm)], ['64'])).
16.91/17.09	tff('66', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_B > $o, X3 : sk_A > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	        != sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X2, X3)
16.91/17.09	       | sk_A3 != X5
16.91/17.09	       | sk_A2 != X4),
16.91/17.09	    inference('sup-', [status(thm)], ['65', '23'])).
16.91/17.09	tff('67', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_B > $o, X3 : sk_A > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A2 != X4
16.91/17.09	       | sk_A3 != X5
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X2, X3)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('simplify', [status(thm)], ['66'])).
16.91/17.09	tff('68', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | zip_tseitin2(X0, sk_A, X4, X1, sk_A0)
16.91/17.09	       | sk_A3(sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)))
16.91/17.09	          = sk_A4(X0, sk_A, X3, X2, X1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['10', '19'])).
16.91/17.09	tff('69', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : 'type/nums/num']:
16.91/17.09	      (sk_A3(sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)))
16.91/17.09	        = sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.91/17.09	       | zip_tseitin2(X0, sk_A, X4, X1, sk_A0)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['68'])).
16.91/17.09	tff('70', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : sk_B > $o, X5 : sk_A > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A, 
16.91/17.09	      X8 : 'type/nums/num']:
16.91/17.09	      (sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.91/17.09	        != sk_A4(X0, sk_A, X3, X2, X1, sk_A0)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | zip_tseitin2(X0, sk_A, X8, X1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)), 
16.91/17.09	             X4)
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), X7, 
16.91/17.09	           X6, X4, X5)
16.91/17.09	       | sk_A3 != X7
16.91/17.09	       | sk_A2 != X6),
16.91/17.09	    inference('sup-', [status(thm)], ['69', '23'])).
16.91/17.09	tff('71', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : sk_B > $o, X5 : sk_A > $o, X6 : sk_A > sk_B, X7 : sk_B > sk_A, 
16.91/17.09	      X8 : 'type/nums/num']:
16.91/17.09	      (sk_A2 != X6
16.91/17.09	       | sk_A3 != X7
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), X7, 
16.91/17.09	           X6, X4, X5)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A2(sk_A4(X0, sk_A, X3, X2, X1, sk_A0)), 
16.91/17.09	             X4)
16.91/17.09	       | zip_tseitin2(X0, sk_A, X8, X1, sk_A0)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['70'])).
16.91/17.09	tff('72', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A, 
16.91/17.09	      X3 : 'type/nums/num', X4 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X4, X0, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X2, X1, X0, sk_A0)), X0)
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X3, X0, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['71', '8'])).
16.91/17.09	tff('73', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A, 
16.91/17.09	      X3 : 'type/nums/num', X4 : 'type/nums/num']:
16.91/17.09	      (zip_tseitin2(sk_B, sk_A, X3, X0, sk_A0)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X2, X1, X0, sk_A0)), X0)
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X4, X0, sk_A0)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)),
16.91/17.09	    inference('simplify', [status(thm)], ['72'])).
16.91/17.09	tff('74', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : sk_A > sk_B, X2 : sk_B > sk_A, 
16.91/17.09	      X3 : 'type/nums/num']:
16.91/17.09	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, X0, sk_A0), X0)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X2, X1, X0, sk_A0)), X0)
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X3, X0, sk_A0)),
16.91/17.09	    inference('condensation', [status(thm)], ['73'])).
16.91/17.09	tff('75', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X2, sk_A1, sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '74'])).
16.91/17.09	tff('76', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | zip_tseitin2(sk_B, sk_A, X2, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['75'])).
16.91/17.09	tff('77', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (zip_tseitin2(sk_B, sk_A, X2, sk_A1, sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('clc', [status(thm)], ['76', '10'])).
16.91/17.09	tff('78', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
16.91/17.09	    inference('sup-', [status(thm)], ['77', '38'])).
16.91/17.09	tff('79', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['78'])).
16.91/17.09	tff('80', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
16.91/17.09	      ('const/sets/FINITE'(X1, X2) | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
16.91/17.09	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
16.91/17.09	tff('81', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['79', '80'])).
16.91/17.09	tff('82', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['81'])).
16.91/17.09	tff('83', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '82'])).
16.91/17.09	tff('84', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['83'])).
16.91/17.09	tff('85', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['36', '45'])).
16.91/17.09	tff('86', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('simplify', [status(thm)], ['85'])).
16.91/17.09	tff('87', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	        != sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | sk_A3 != X5),
16.91/17.09	    inference('sup-', [status(thm)], ['86', '49'])).
16.91/17.09	tff('88', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X5
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('simplify', [status(thm)], ['87'])).
16.91/17.09	tff('89', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, X4)),
16.91/17.09	    inference('sup-', [status(thm)], ['6', '11'])).
16.91/17.09	tff('90', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['89'])).
16.91/17.09	tff('91', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)
16.91/17.09	       | ~ zip_tseitin1(X3, X1, sk_A41(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.91/17.09	    inference('sup-', [status(thm)], ['90', '14'])).
16.91/17.09	tff('92', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
16.91/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ zip_tseitin1(X3, X1, sk_A41(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)
16.91/17.09	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
16.91/17.09	             X2)),
16.91/17.09	    inference('simplify', [status(thm)], ['91'])).
16.91/17.09	tff('93', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
16.91/17.09	      X5 : X2 > X0]:
16.91/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(X0, X1)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
16.91/17.09	             X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X2, X3, 'const/sets/CARD'(sk_B, sk_A1))),
16.91/17.09	    inference('sup-', [status(thm)], ['92', '17'])).
16.91/17.09	tff('94', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | 'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_A, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['88', '93'])).
16.91/17.09	tff('95', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('simplify', [status(thm)], ['94'])).
16.91/17.09	tff('96', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['67', '95'])).
16.91/17.09	tff('97', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, 
16.91/17.09	           sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('simplify', [status(thm)], ['96'])).
16.91/17.09	tff('98', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '97'])).
16.91/17.09	tff('99', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, 
16.91/17.09	           sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['98'])).
16.91/17.09	tff('100', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['99', '63'])).
16.91/17.09	tff('101', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('sup-', [status(thm)], ['37', '100'])).
16.91/17.09	tff('102', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['101'])).
16.91/17.09	tff('103', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)),
16.91/17.09	    inference('sup-', [status(thm)], ['8', '38'])).
16.91/17.09	tff('104', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
16.91/17.09	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
16.91/17.09	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
16.91/17.09	             X1)
16.91/17.09	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)),
16.91/17.09	    inference('simplify', [status(thm)], ['103'])).
16.91/17.09	tff('105', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)
16.91/17.09	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/CARD'(X1, X2) = X0),
16.91/17.09	    inference('sup-', [status(thm)], ['104', '14'])).
16.91/17.09	tff('106', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
16.91/17.09	      ('const/sets/CARD'(X1, X2) = X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
16.91/17.09	             X4)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)),
16.91/17.09	    inference('simplify', [status(thm)], ['105'])).
16.91/17.09	tff('107', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, 
16.91/17.09	      X4 : sk_B > X1]:
16.91/17.09	      ('const/sets/CARD'(sk_A, sk_A0) != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)
16.91/17.09	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
16.91/17.09	    inference('sup-', [status(thm)], ['106', '17'])).
16.91/17.09	tff('108', plain,
16.91/17.09	    ![X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, X4 : sk_B > X1]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
16.91/17.09	             X3, sk_A1, X2)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['107'])).
16.91/17.09	tff('109', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('sup-', [status(thm)], ['67', '108'])).
16.91/17.09	tff('110', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('simplify', [status(thm)], ['109'])).
16.91/17.09	tff('111', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '110'])).
16.91/17.09	tff('112', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['111'])).
16.91/17.09	tff('113', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)),
16.91/17.09	    inference('clc', [status(thm)], ['112', '63'])).
16.91/17.09	tff('114', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('clc', [status(thm)], ['102', '113'])).
16.91/17.09	tff('115', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '114'])).
16.91/17.09	tff('116', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['115'])).
16.91/17.09	tff('117', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '116'])).
16.91/17.09	tff('118', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['117'])).
16.91/17.09	tff('119', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('clc', [status(thm)], ['84', '118'])).
16.91/17.09	tff('120', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['119', '45'])).
16.91/17.09	tff('121', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('simplify', [status(thm)], ['120'])).
16.91/17.09	tff('122', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	        != sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | sk_A3 != X5),
16.91/17.09	    inference('sup-', [status(thm)], ['121', '49'])).
16.91/17.09	tff('123', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X5
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('simplify', [status(thm)], ['122'])).
16.91/17.09	tff('124', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('sup-', [status(thm)], ['123', '57'])).
16.91/17.09	tff('125', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('simplify', [status(thm)], ['124'])).
16.91/17.09	tff('126', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['125', '2'])).
16.91/17.09	tff('127', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['67', '126'])).
16.91/17.09	tff('128', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('simplify', [status(thm)], ['127'])).
16.91/17.09	tff('129', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['128', '80'])).
16.91/17.09	tff('130', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '129'])).
16.91/17.09	tff('131', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['130'])).
16.91/17.09	tff('132', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, 
16.91/17.09	           sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
16.91/17.09	    inference('clc', [status(thm)], ['131', '63'])).
16.91/17.09	tff('133', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['37', '132'])).
16.91/17.09	tff('134', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['133'])).
16.91/17.09	tff('135', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('clc', [status(thm)], ['134', '113'])).
16.91/17.09	tff('136', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > sk_A, X2 : sk_A > sk_B, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), sk_A0)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X2),
16.91/17.09	    inference('sup-', [status(thm)], ['16', '135'])).
16.91/17.09	tff('137', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > sk_A, X2 : sk_A > sk_B, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (sk_A2 != X2
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['136', '13'])).
16.91/17.09	tff('138', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : 'type/nums/num', X5 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), sk_A0)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | sk_A3 != X5),
16.91/17.09	    inference('eq_res', [status(thm)], ['137'])).
16.91/17.09	tff('139', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : sk_A > X1, 
16.91/17.09	      X4 : X1 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X1, X2, X0)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, sk_A, X4, X3, X2, sk_A0), X2)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X1, sk_A, X4, X3, X2, sk_A0), sk_A0)),
16.91/17.09	    inference('eq_res', [status(thm)], ['138'])).
16.91/17.09	tff('140', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : 'type/nums/num', X2 : sk_A > sk_B, 
16.91/17.09	      X3 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X3, X2, X0, sk_A0)), X0)
16.91/17.09	       | sk_A3 != X3
16.91/17.09	       | sk_A2 != X2
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, X0, sk_A0), X0)
16.91/17.09	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X0, X1)),
16.91/17.09	    inference('sup-', [status(thm)], ['74', '11'])).
16.91/17.09	tff('141', plain,
16.91/17.09	    ![X0 : sk_B > $o, X1 : 'type/nums/num', X2 : sk_A > sk_B, 
16.91/17.09	      X3 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_B, X0, X1)
16.91/17.09	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X1)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, X0, sk_A0), X0)
16.91/17.09	       | sk_A2 != X2
16.91/17.09	       | sk_A3 != X3
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X3, X2, X0, sk_A0)), X0)),
16.91/17.09	    inference('simplify', [status(thm)], ['140'])).
16.91/17.09	tff('142', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > $o, X2 : sk_A > sk_B, 
16.91/17.09	      X3 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X3, X2, X1, sk_A0)), X1)
16.91/17.09	       | sk_A3 != X3
16.91/17.09	       | sk_A2 != X2
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X1, X0)
16.91/17.09	       | 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['141', '80'])).
16.91/17.09	tff('143', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > $o, X2 : sk_A > sk_B, 
16.91/17.09	      X3 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, X1, X0)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | sk_A2 != X2
16.91/17.09	       | sk_A3 != X3
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X3, X2, X1, sk_A0)), X1)),
16.91/17.09	    inference('simplify', [status(thm)], ['142'])).
16.91/17.09	tff('144', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '143'])).
16.91/17.09	tff('145', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      ('const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['144'])).
16.91/17.09	tff('146', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)),
16.91/17.09	    inference('clc', [status(thm)], ['145', '119'])).
16.91/17.09	tff('147', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '146'])).
16.91/17.09	tff('148', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A1)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['147'])).
16.91/17.09	tff('149', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['148', '45'])).
16.91/17.09	tff('150', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['149'])).
16.91/17.09	tff('151', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), sk_A0)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X2),
16.91/17.09	    inference('sup-', [status(thm)], ['16', '116'])).
16.91/17.09	tff('152', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (sk_A3 != X2
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['151', '13'])).
16.91/17.09	tff('153', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : 'type/nums/num', X5 : sk_A > sk_B]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), sk_A0)
16.91/17.09	       | 'const/sets/IN'(X0, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X5),
16.91/17.09	    inference('eq_res', [status(thm)], ['152'])).
16.91/17.09	tff('154', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : sk_A > X1, 
16.91/17.09	      X4 : X1 > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)
16.91/17.09	       | 'const/sets/IN'(X1, sk_A41(X1, sk_A, X4, X3, X2, sk_A0), X2)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(X1, sk_A, X4, X3, X2, sk_A0), sk_A0)),
16.91/17.09	    inference('eq_res', [status(thm)], ['153'])).
16.91/17.09	tff('155', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['154', '45'])).
16.91/17.09	tff('156', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['155'])).
16.91/17.09	tff('157', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['156', '80'])).
16.91/17.09	tff('158', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '157'])).
16.91/17.09	tff('159', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A0)
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['158'])).
16.91/17.09	tff('160', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['150', '159'])).
16.91/17.09	tff('161', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	        != sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | sk_A3 != X5),
16.91/17.09	    inference('sup-', [status(thm)], ['160', '49'])).
16.91/17.09	tff('162', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_A > $o, X3 : sk_B > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X5
16.91/17.09	       | sk_A2 != X4
16.91/17.09	       | zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X3, X2)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('simplify', [status(thm)], ['161'])).
16.91/17.09	tff('163', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > sk_A, X2 : sk_A > sk_B, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
16.91/17.09	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
16.91/17.09	             X5, X4, sk_A0)
16.91/17.09	       | ~ zip_tseitin1(X3, sk_A, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X6, 
16.91/17.09	             X5, X4, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X2),
16.91/17.09	    inference('sup-', [status(thm)], ['92', '135'])).
16.91/17.09	tff('164', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : sk_B > sk_A, X2 : sk_A > sk_B, X3 : $tType, 
16.91/17.09	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
16.91/17.09	      (sk_A2 != X2
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
16.91/17.09	       | ~ zip_tseitin1(X3, sk_A, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X6, 
16.91/17.09	             X5, X4, sk_A0)
16.91/17.09	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
16.91/17.09	             X5, X4, sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['163', '90'])).
16.91/17.09	tff('165', plain,
16.91/17.09	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > X0, X3 : X0 > sk_A, 
16.91/17.09	      X4 : 'type/nums/num', X5 : sk_B > sk_A]:
16.91/17.09	      (~ zip_tseitin0(X0, sk_A, sk_A4(X0, sk_A, X3, X2, X1, sk_A0), X3, X2, 
16.91/17.09	           X1, sk_A0)
16.91/17.09	       | ~ zip_tseitin1(X0, sk_A, sk_A41(X0, sk_A, X3, X2, X1, sk_A0), X3, 
16.91/17.09	             X2, X1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)
16.91/17.09	       | sk_A3 != X5),
16.91/17.09	    inference('eq_res', [status(thm)], ['164'])).
16.91/17.09	tff('166', plain,
16.91/17.09	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : sk_A > X1, 
16.91/17.09	      X4 : X1 > sk_A]:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(X1, X2, X0)
16.91/17.09	       | ~ zip_tseitin1(X1, sk_A, sk_A41(X1, sk_A, X4, X3, X2, sk_A0), X4, 
16.91/17.09	             X3, X2, sk_A0)
16.91/17.09	       | ~ zip_tseitin0(X1, sk_A, sk_A4(X1, sk_A, X4, X3, X2, sk_A0), X4, 
16.91/17.09	             X3, X2, sk_A0)),
16.91/17.09	    inference('eq_res', [status(thm)], ['165'])).
16.91/17.09	tff('167', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)),
16.91/17.09	    inference('sup-', [status(thm)], ['162', '166'])).
16.91/17.09	tff('168', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('simplify', [status(thm)], ['167'])).
16.91/17.09	tff('169', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)),
16.91/17.09	    inference('clc', [status(thm)], ['168', '80'])).
16.91/17.09	tff('170', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '169'])).
16.91/17.09	tff('171', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['170'])).
16.91/17.09	tff('172', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['4', '171'])).
16.91/17.09	tff('173', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['172'])).
16.91/17.09	tff('174', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['37', '173'])).
16.91/17.09	tff('175', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['174'])).
16.91/17.09	tff('176', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (~ $true
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['139', '175'])).
16.91/17.09	tff('177', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      (sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['176'])).
16.91/17.09	tff('178', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A0)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('clc', [status(thm)], ['177', '80'])).
16.91/17.09	tff('179', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X0
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X0, X1, sk_A1, sk_A0), 
16.91/17.09	           sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '178'])).
16.91/17.09	tff('180', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X0, X1, sk_A1, sk_A0), sk_A0)
16.91/17.09	       | sk_A2 != X1
16.91/17.09	       | sk_A3 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['179'])).
16.91/17.09	tff('181', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	          = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['180', '19'])).
16.91/17.09	tff('182', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
16.91/17.09	        = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['181'])).
16.91/17.09	tff('183', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_B > $o, X3 : sk_A > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	        != sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X2, X3)
16.91/17.09	       | sk_A3 != X5
16.91/17.09	       | sk_A2 != X4),
16.91/17.09	    inference('sup-', [status(thm)], ['182', '23'])).
16.91/17.09	tff('184', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : sk_B > $o, X3 : sk_A > $o, 
16.91/17.09	      X4 : sk_A > sk_B, X5 : sk_B > sk_A]:
16.91/17.09	      (sk_A2 != X4
16.91/17.09	       | sk_A3 != X5
16.91/17.09	       | zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	           X5, X4, X2, X3)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), X2)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['183'])).
16.91/17.09	tff('185', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['184', '171'])).
16.91/17.09	tff('186', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, 
16.91/17.09	           sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, 
16.91/17.09	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['185'])).
16.91/17.09	tff('187', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('sup-', [status(thm)], ['3', '186'])).
16.91/17.09	tff('188', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/IN'(sk_A, 
16.91/17.09	           sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['187'])).
16.91/17.09	tff('189', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_A, 
16.91/17.09	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)),
16.91/17.09	    inference('clc', [status(thm)], ['188', '180'])).
16.91/17.09	tff('190', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['37', '189'])).
16.91/17.09	tff('191', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
16.91/17.09	             sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['190'])).
16.91/17.09	tff('192', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ $true
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('sup-', [status(thm)], ['36', '191'])).
16.91/17.09	tff('193', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | sk_A2 != X0),
16.91/17.09	    inference('simplify', [status(thm)], ['192'])).
16.91/17.09	tff('194', plain,
16.91/17.09	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
16.91/17.09	      (sk_A2 != X0
16.91/17.09	       | sk_A3 != X1
16.91/17.09	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))),
16.91/17.09	    inference('clc', [status(thm)], ['193', '80'])).
16.91/17.09	tff('195', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_B, sk_A1)
16.91/17.09	       | sk_A3 != X0
16.91/17.09	       | sk_A2 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '194'])).
16.91/17.09	tff('196', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (sk_A2 != X1 | sk_A3 != X0 | ~ 'const/sets/FINITE'(sk_B, sk_A1)),
16.91/17.09	    inference('simplify', [status(thm)], ['195'])).
16.91/17.09	tff('197', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (~ $true | 'const/sets/FINITE'(sk_A, sk_A0) | sk_A3 != X0 | sk_A2 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['0', '196'])).
16.91/17.09	tff('198', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (sk_A2 != X1 | sk_A3 != X0 | 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['197'])).
16.91/17.09	tff('199', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (~ $true
16.91/17.09	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
16.91/17.09	       | sk_A3 != X0
16.91/17.09	       | sk_A2 != X1),
16.91/17.09	    inference('sup-', [status(thm)], ['2', '135'])).
16.91/17.09	tff('200', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]:
16.91/17.09	      (sk_A2 != X1 | sk_A3 != X0 | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
16.91/17.09	    inference('simplify', [status(thm)], ['199'])).
16.91/17.09	tff('201', plain,
16.91/17.09	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B]: (sk_A3 != X0 | sk_A2 != X1),
16.91/17.09	    inference('clc', [status(thm)], ['198', '200'])).
16.91/17.09	tff('202', plain, ![X0 : sk_A > sk_B]: sk_A2 != X0,
16.91/17.09	    inference('eq_res', [status(thm)], ['201'])).
16.91/17.09	tff('203', plain, $false, inference('eq_res', [status(thm)], ['202'])).
16.91/17.09	
16.91/17.09	% SZS output end Refutation
16.91/17.09	EOF
