0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : rpo6
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n175.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:38:09 CST 2018
34.67/34.85	% done 4674 iterations in 34.654s
34.67/34.85	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
34.67/34.85	% SZS output start Refutation
34.67/34.86	tff('thm/sets/BIJECTIONS_CARD_EQ_', conjecture,
34.67/34.86	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
34.67/34.86	     (((![A4:B]:
34.67/34.86	          ('const/sets/IN'(B,A4,A1) =>
34.67/34.86	           ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
34.67/34.86	       (![A4:A]:
34.67/34.86	          ('const/sets/IN'(A,A4,A0) =>
34.67/34.86	           ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
34.67/34.86	       ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
34.67/34.86	      ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1))))).
34.67/34.86	tff(zf_stmt_0, negated_conjecture,
34.67/34.86	  (~
34.67/34.86	    (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
34.67/34.86	       (((![A4:B]:
34.67/34.86	            ('const/sets/IN'(B,A4,A1) =>
34.67/34.86	             ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
34.67/34.86	         (![A4:A]:
34.67/34.86	            ('const/sets/IN'(A,A4,A0) =>
34.67/34.86	             ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
34.67/34.86	         ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
34.67/34.86	        ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1)))))).
34.67/34.86	tff('0', plain,
34.67/34.86	    ![X20 : sk_A]:
34.67/34.86	      (sk_A3(sk_A2(X20)) = X20 | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff('thm/sets/BIJECTIONS_HAS_SIZE_EQ_', axiom,
34.67/34.86	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
34.67/34.86	     (((![A4:A]:
34.67/34.86	          ('const/sets/IN'(A,A4,A0) =>
34.67/34.86	           ('const/sets/IN'(B,A2(A4),A1) & (A3(A2(A4)) = A4)))) & 
34.67/34.86	       (![A4:B]:
34.67/34.86	          ('const/sets/IN'(B,A4,A1) =>
34.67/34.86	           ('const/sets/IN'(A,A3(A4),A0) & (A2(A3(A4)) = A4))))) =>
34.67/34.86	      (![A4:'type/nums/num']:
34.67/34.86	         ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))))).
34.67/34.86	tff(zf_stmt_1, axiom,
34.67/34.86	  (('const/sets/IN'(A,A4,A0) =>
34.67/34.86	    ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1))) =>
34.67/34.86	   zip_tseitin0(B,A,A4,A3,A2,A1,A0))).
34.67/34.86	tff('1', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
34.67/34.86	      X9 : X4 > $o, X10 : X5 > $o]:
34.67/34.86	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
34.67/34.86	       | X7(X8(X6)) != X6
34.67/34.86	       | ~ 'const/sets/IN'(X4, X8(X6), X9)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_1])).
34.67/34.86	tff('2', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
34.67/34.86	      X9 : X4 > $o, X10 : X5 > $o, X11 : X4 > X5, X12 : X5 > X4]:
34.67/34.86	      (X12 != X8
34.67/34.86	       | X11 != X7
34.67/34.86	       | zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
34.67/34.86	       | X11(X12(X6)) != X6
34.67/34.86	       | ~ 'const/sets/IN'(X4, X12(X6), X9)),
34.67/34.86	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
34.67/34.86	tff('3', plain,
34.67/34.86	    ![X0 : sk_A, X1 : sk_B > $o, X2 : sk_A > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (X0 != X0
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, sk_A2(X0), X1)
34.67/34.86	       | zip_tseitin0(sk_B, sk_A, X0, X4, X3, X1, X2)
34.67/34.86	       | sk_A3 != X4
34.67/34.86	       | sk_A2 != X3),
34.67/34.86	    inference('sup-', [status(thm)], ['0', '2'])).
34.67/34.86	tff('4', plain,
34.67/34.86	    ![X0 : sk_A, X1 : sk_B > $o, X2 : sk_A > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (sk_A2 != X3
34.67/34.86	       | sk_A3 != X4
34.67/34.86	       | zip_tseitin0(sk_B, sk_A, X0, X4, X3, X1, X2)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, sk_A2(X0), X1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
34.67/34.86	    inference('simplify', [status(thm)], ['3'])).
34.67/34.86	tff('5', plain,
34.67/34.86	    ![X21 : sk_B]:
34.67/34.86	      (sk_A2(sk_A3(X21)) = X21 | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff(zf_stmt_2, axiom,
34.67/34.86	  (('const/sets/IN'(B,A4,A1) =>
34.67/34.86	    ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0))) =>
34.67/34.86	   zip_tseitin1(B,A,A4,A3,A2,A1,A0))).
34.67/34.86	tff('6', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
34.67/34.86	      X10 : X5 > $o, X11 : X4]:
34.67/34.86	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
34.67/34.86	       | X8(X7(X11)) != X11
34.67/34.86	       | ~ 'const/sets/IN'(X5, X7(X11), X10)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_2])).
34.67/34.86	tff('7', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
34.67/34.86	      X10 : X5 > $o, X11 : X4, X12 : X5 > X4, X13 : X4 > X5]:
34.67/34.86	      (X13 != X7
34.67/34.86	       | X12 != X8
34.67/34.86	       | zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
34.67/34.86	       | X12(X13(X11)) != X11
34.67/34.86	       | ~ 'const/sets/IN'(X5, X13(X11), X10)),
34.67/34.86	    inference('ho.purify_applied_variable', [status(thm)], ['6'])).
34.67/34.86	tff('8', plain,
34.67/34.86	    ![X0 : sk_B, X1 : sk_A > $o, X2 : sk_B > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (X0 != X0
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, X0, sk_A1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, sk_A3(X0), X1)
34.67/34.86	       | zip_tseitin1(sk_B, sk_A, X0, X4, X3, X2, X1)
34.67/34.86	       | sk_A2 != X3
34.67/34.86	       | sk_A3 != X4),
34.67/34.86	    inference('sup-', [status(thm)], ['5', '7'])).
34.67/34.86	tff('9', plain,
34.67/34.86	    ![X0 : sk_B, X1 : sk_A > $o, X2 : sk_B > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (sk_A3 != X4
34.67/34.86	       | sk_A2 != X3
34.67/34.86	       | zip_tseitin1(sk_B, sk_A, X0, X4, X3, X2, X1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, sk_A3(X0), X1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, X0, sk_A1)),
34.67/34.86	    inference('simplify', [status(thm)], ['8'])).
34.67/34.86	tff('10', plain,
34.67/34.86	    ('const/sets/FINITE'(sk_B, sk_A1) | 'const/sets/FINITE'(sk_A, sk_A0)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff('thm/sets/HAS_SIZE_', axiom,
34.67/34.86	  (![A:$tType,A0:(A > $o),A1:'type/nums/num']:
34.67/34.86	     ('const/sets/HAS_SIZE'(A,A0,A1) <=>
34.67/34.86	      (('const/sets/CARD'(A,A0) = A1) & 'const/sets/FINITE'(A,A0))))).
34.67/34.86	tff('11', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o, X3 : 'type/nums/num']:
34.67/34.86	      ('const/sets/HAS_SIZE'(X1, X2, X3)
34.67/34.86	       | ~ 'const/sets/FINITE'(X1, X2)
34.67/34.86	       | 'const/sets/CARD'(X1, X2) != X3),
34.67/34.86	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
34.67/34.86	tff('12', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o]:
34.67/34.86	      (~ 'const/sets/FINITE'(X1, X2)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(X1, X2))),
34.67/34.86	    inference('simplify', [status(thm)], ['11'])).
34.67/34.86	tff('13', plain,
34.67/34.86	    (~ $true
34.67/34.86	     | 'const/sets/FINITE'(sk_A, sk_A0)
34.67/34.86	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['10', '12'])).
34.67/34.86	tff('14', plain,
34.67/34.86	    ('const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	     | 'const/sets/FINITE'(sk_A, sk_A0)),
34.67/34.86	    inference('simplify', [status(thm)], ['13'])).
34.67/34.86	tff('15', plain,
34.67/34.86	    (~ $true
34.67/34.86	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('sup-', [status(thm)], ['14', '12'])).
34.67/34.86	tff('16', plain,
34.67/34.86	    ('const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('simplify', [status(thm)], ['15'])).
34.67/34.86	tff('17', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
34.67/34.86	      ('const/sets/CARD'(X1, X2) = X0 | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
34.67/34.86	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
34.67/34.86	tff('18', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o]:
34.67/34.86	      ('const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(X0, X1))
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('sup+', [status(thm)], ['17', '16'])).
34.67/34.86	tff(zf_stmt_3, type, zip_tseitin2 :
34.67/34.86	    !>[B:$tType,A:$tType]: (('type/nums/num' * B > $o * A > $o) > $o)).
34.67/34.86	tff(zf_stmt_4, axiom,
34.67/34.86	  (zip_tseitin2(B,A,A4,A1,A0) =>
34.67/34.86	   ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))).
34.67/34.86	tff(zf_stmt_5, type, zip_tseitin1 :
34.67/34.86	    !>[B:$tType,A:$tType]: ((B * B > A * A > B * B > $o * A > $o) > $o)).
34.67/34.86	tff(zf_stmt_6, type, zip_tseitin0 :
34.67/34.86	    !>[B:$tType,A:$tType]: ((A * B > A * A > B * B > $o * A > $o) > $o)).
34.67/34.86	tff(zf_stmt_7, axiom,
34.67/34.86	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
34.67/34.86	     (((![A4:B]: zip_tseitin1(B,A,A4,A3,A2,A1,A0)) & 
34.67/34.86	       (![A4:A]: zip_tseitin0(B,A,A4,A3,A2,A1,A0))) =>
34.67/34.86	      (![A4:'type/nums/num']: zip_tseitin2(B,A,A4,A1,A0))))).
34.67/34.86	tff('19', plain,
34.67/34.86	    ![X13 : $tType, X14 : $tType, X15 : 'type/nums/num', X16 : X13 > $o, 
34.67/34.86	      X17 : X14 > $o, X18 : X13 > X14, X19 : X14 > X13]:
34.67/34.86	      (zip_tseitin2(X13, X14, X15, X16, X17)
34.67/34.86	       | ~ zip_tseitin1(X13, X14, sk_A41(X13, X14, X18, X19, X16, X17), X18, 
34.67/34.86	             X19, X16, X17)
34.67/34.86	       | ~ zip_tseitin0(X13, X14, sk_A4(X13, X14, X18, X19, X16, X17), X18, 
34.67/34.86	             X19, X16, X17)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_7])).
34.67/34.86	tff('20', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
34.67/34.86	      X12 : 'type/nums/num']:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X4, X9, X12)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X5, X10, X12)
34.67/34.86	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_4])).
34.67/34.86	tff('21', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X2, X3, X4)),
34.67/34.86	    inference('sup-', [status(thm)], ['19', '20'])).
34.67/34.86	tff('22', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)),
34.67/34.86	    inference('simplify', [status(thm)], ['21'])).
34.67/34.86	tff('23', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)
34.67/34.86	       | ~ zip_tseitin1(X3, X1, sk_A41(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | 'const/sets/CARD'(X1, X2) = X0),
34.67/34.86	    inference('sup-', [status(thm)], ['22', '17'])).
34.67/34.86	tff('24', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
34.67/34.86	      ('const/sets/CARD'(X1, X2) = X0
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ zip_tseitin1(X3, X1, sk_A41(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)
34.67/34.86	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)),
34.67/34.86	    inference('simplify', [status(thm)], ['23'])).
34.67/34.86	tff('25', plain,
34.67/34.86	    'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_B, sk_A1),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff('26', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o]:
34.67/34.86	      ('const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(X0, X1)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['17', '25'])).
34.67/34.86	tff('27', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
34.67/34.86	      (X0 != 'const/sets/CARD'(X1, X2)
34.67/34.86	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)
34.67/34.86	       | ~ zip_tseitin1(X3, sk_A, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['24', '26'])).
34.67/34.86	tff('28', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o, X3 : $tType, X4 : X3 > $o, X5 : sk_A > X3, 
34.67/34.86	      X6 : X3 > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, 'const/sets/CARD'(X1, X2))
34.67/34.86	       | ~ zip_tseitin1(X3, sk_A, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)
34.67/34.86	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)),
34.67/34.86	    inference('simplify', [status(thm)], ['27'])).
34.67/34.86	tff('29', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	             X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['18', '28'])).
34.67/34.86	tff('30', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	           X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	             X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('simplify', [status(thm)], ['29'])).
34.67/34.86	tff('31', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
34.67/34.86	      X12 : 'type/nums/num']:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X5, X10, X12)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X4, X9, X12)
34.67/34.86	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_4])).
34.67/34.86	tff('32', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)),
34.67/34.86	    inference('sup-', [status(thm)], ['19', '31'])).
34.67/34.86	tff('33', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | ~ zip_tseitin1(X2, X0, sk_A41(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)),
34.67/34.86	    inference('simplify', [status(thm)], ['32'])).
34.67/34.86	tff('34', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)
34.67/34.86	       | ~ zip_tseitin1(X1, X3, sk_A41(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | 'const/sets/CARD'(X1, X2) = X0),
34.67/34.86	    inference('sup-', [status(thm)], ['33', '17'])).
34.67/34.86	tff('35', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
34.67/34.86	      ('const/sets/CARD'(X1, X2) = X0
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ zip_tseitin1(X1, X3, sk_A41(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)
34.67/34.86	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)),
34.67/34.86	    inference('simplify', [status(thm)], ['34'])).
34.67/34.86	tff('36', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, 
34.67/34.86	      X4 : sk_B > X1]:
34.67/34.86	      ('const/sets/CARD'(sk_A, sk_A0) != X0
34.67/34.86	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)
34.67/34.86	       | ~ zip_tseitin1(sk_B, X1, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
34.67/34.86	    inference('sup-', [status(thm)], ['35', '25'])).
34.67/34.86	tff('37', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, X4 : sk_B > X1]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ zip_tseitin1(sk_B, X1, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)
34.67/34.86	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)),
34.67/34.86	    inference('simplify', [status(thm)], ['36'])).
34.67/34.86	tff('38', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	             X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), X3, X2, sk_A1, sk_A0)),
34.67/34.86	    inference('clc', [status(thm)], ['30', '37'])).
34.67/34.86	tff('39', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, X0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X4, X3, sk_A1, sk_A0), X4, X3, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X4, X3, sk_A1, sk_A0), 
34.67/34.86	             X4, X3, sk_A1, sk_A0)),
34.67/34.86	    inference('sup-', [status(thm)], ['17', '38'])).
34.67/34.86	tff('40', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('condensation', [status(thm)], ['39'])).
34.67/34.86	tff('41', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), X1, X0, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('sup-', [status(thm)], ['16', '40'])).
34.67/34.86	tff('42', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin1(sk_B, sk_A, 
34.67/34.86	             sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), X1, X0, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('simplify', [status(thm)], ['41'])).
34.67/34.86	tff('43', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin1(sk_B, sk_A, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('clc', [status(thm)], ['42', '37'])).
34.67/34.86	tff('44', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             sk_A1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, 
34.67/34.86	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('sup-', [status(thm)], ['9', '43'])).
34.67/34.86	tff('45', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, 
34.67/34.86	             sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A0)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             sk_A1)),
34.67/34.86	    inference('simplify', [status(thm)], ['44'])).
34.67/34.86	tff('46', plain,
34.67/34.86	    ![X21 : sk_B]:
34.67/34.86	      ('const/sets/IN'(sk_A, sk_A3(X21), sk_A0)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff('47', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('clc', [status(thm)], ['45', '46'])).
34.67/34.86	tff('48', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
34.67/34.86	      X10 : X5 > $o, X11 : X4]:
34.67/34.86	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
34.67/34.86	       | 'const/sets/IN'(X4, X11, X9)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_2])).
34.67/34.86	tff('49', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
34.67/34.86	      X5 : X2 > X0, X6 : 'type/nums/num']:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
34.67/34.86	             X1)
34.67/34.86	       | zip_tseitin2(X2, X0, X6, X3, X1)),
34.67/34.86	    inference('sup-', [status(thm)], ['48', '19'])).
34.67/34.86	tff('50', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
34.67/34.86	      X5 : X2 > X0, X6 : 'type/nums/num']:
34.67/34.86	      (zip_tseitin2(X2, X0, X6, X3, X1)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)),
34.67/34.86	    inference('simplify', [status(thm)], ['49'])).
34.67/34.86	tff('51', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X2, X3, X4)),
34.67/34.86	    inference('sup-', [status(thm)], ['50', '20'])).
34.67/34.86	tff('52', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)),
34.67/34.86	    inference('simplify', [status(thm)], ['51'])).
34.67/34.86	tff('53', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)
34.67/34.86	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | 'const/sets/CARD'(X1, X2) = X0),
34.67/34.86	    inference('sup-', [status(thm)], ['52', '17'])).
34.67/34.86	tff('54', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X1 > X3, X6 : X3 > X1]:
34.67/34.86	      ('const/sets/CARD'(X1, X2) = X0
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ zip_tseitin0(X3, X1, sk_A4(X3, X1, X6, X5, X4, X2), X6, X5, X4, 
34.67/34.86	             X2)
34.67/34.86	       | 'const/sets/IN'(X3, sk_A41(X3, X1, X6, X5, X4, X2), X4)),
34.67/34.86	    inference('simplify', [status(thm)], ['53'])).
34.67/34.86	tff('55', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : sk_A > X3, X6 : X3 > sk_A]:
34.67/34.86	      (X0 != 'const/sets/CARD'(X1, X2)
34.67/34.86	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)
34.67/34.86	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['54', '26'])).
34.67/34.86	tff('56', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o, X3 : $tType, X4 : X3 > $o, X5 : sk_A > X3, 
34.67/34.86	      X6 : X3 > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, 'const/sets/CARD'(X1, X2))
34.67/34.86	       | ~ zip_tseitin0(X3, sk_A, sk_A4(X3, sk_A, X6, X5, X4, sk_A0), X6, 
34.67/34.86	             X5, X4, sk_A0)
34.67/34.86	       | 'const/sets/IN'(X3, sk_A41(X3, sk_A, X6, X5, X4, sk_A0), X4)),
34.67/34.86	    inference('simplify', [status(thm)], ['55'])).
34.67/34.86	tff('57', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	             X3, X2, sk_A1, sk_A0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))),
34.67/34.86	    inference('sup-', [status(thm)], ['18', '56'])).
34.67/34.86	tff('58', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	           X3, X2, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('simplify', [status(thm)], ['57'])).
34.67/34.86	tff('59', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X0, X1, X4)),
34.67/34.86	    inference('sup-', [status(thm)], ['50', '31'])).
34.67/34.86	tff('60', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, 
34.67/34.86	      X4 : 'type/nums/num', X5 : X0 > X2, X6 : X2 > X0]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X0, X1, X4)
34.67/34.86	       | 'const/sets/HAS_SIZE'(X2, X3, X4)
34.67/34.86	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X6, X5, X3, X1), X6, X5, X3, 
34.67/34.86	             X1)
34.67/34.86	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X6, X5, X3, X1), X3)),
34.67/34.86	    inference('simplify', [status(thm)], ['59'])).
34.67/34.86	tff('61', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)
34.67/34.86	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | 'const/sets/CARD'(X1, X2) = X0),
34.67/34.86	    inference('sup-', [status(thm)], ['60', '17'])).
34.67/34.86	tff('62', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : $tType, 
34.67/34.86	      X4 : X3 > $o, X5 : X3 > X1, X6 : X1 > X3]:
34.67/34.86	      ('const/sets/CARD'(X1, X2) = X0
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X3, X4, X0)
34.67/34.86	       | ~ zip_tseitin0(X1, X3, sk_A4(X1, X3, X6, X5, X2, X4), X6, X5, X2, 
34.67/34.86	             X4)
34.67/34.86	       | 'const/sets/IN'(X1, sk_A41(X1, X3, X6, X5, X2, X4), X2)),
34.67/34.86	    inference('simplify', [status(thm)], ['61'])).
34.67/34.86	tff('63', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, 
34.67/34.86	      X4 : sk_B > X1]:
34.67/34.86	      ('const/sets/CARD'(sk_A, sk_A0) != X0
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)
34.67/34.86	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
34.67/34.86	    inference('sup-', [status(thm)], ['62', '25'])).
34.67/34.86	tff('64', plain,
34.67/34.86	    ![X1 : $tType, X2 : X1 > $o, X3 : X1 > sk_B, X4 : sk_B > X1]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ zip_tseitin0(sk_B, X1, sk_A4(sk_B, X1, X4, X3, sk_A1, X2), X4, 
34.67/34.86	             X3, sk_A1, X2)
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, X1, X4, X3, sk_A1, X2), sk_A1)),
34.67/34.86	    inference('simplify', [status(thm)], ['63'])).
34.67/34.86	tff('65', plain,
34.67/34.86	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_A > sk_B, X3 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X3, X2, sk_A1, sk_A0), 
34.67/34.86	             X3, X2, sk_A1, sk_A0)),
34.67/34.86	    inference('clc', [status(thm)], ['58', '64'])).
34.67/34.86	tff('66', plain,
34.67/34.86	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o, X3 : sk_A > sk_B, 
34.67/34.86	      X4 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/HAS_SIZE'(X1, X2, X0)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X4, X3, sk_A1, sk_A0), 
34.67/34.86	             X4, X3, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X4, X3, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)),
34.67/34.86	    inference('sup-', [status(thm)], ['17', '65'])).
34.67/34.86	tff('67', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
34.67/34.86	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A1)
34.67/34.86	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X2)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)),
34.67/34.86	    inference('condensation', [status(thm)], ['66'])).
34.67/34.86	tff('68', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)),
34.67/34.86	    inference('sup-', [status(thm)], ['16', '67'])).
34.67/34.86	tff('69', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), sk_A1)
34.67/34.86	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             X1, X0, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
34.67/34.86	    inference('simplify', [status(thm)], ['68'])).
34.67/34.86	tff('70', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A1)),
34.67/34.86	    inference('clc', [status(thm)], ['69', '64'])).
34.67/34.86	tff('71', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           X1, X0, sk_A1, sk_A0)
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | sk_A2 != X0),
34.67/34.86	    inference('clc', [status(thm)], ['47', '70'])).
34.67/34.86	tff('72', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             sk_A0)
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, 
34.67/34.86	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | sk_A3 != X1),
34.67/34.86	    inference('sup-', [status(thm)], ['4', '71'])).
34.67/34.86	tff('73', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (sk_A2 != X0
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | ~ 'const/sets/IN'(sk_B, 
34.67/34.86	             sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)), sk_A1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	             sk_A0)),
34.67/34.86	    inference('simplify', [status(thm)], ['72'])).
34.67/34.86	tff('74', plain,
34.67/34.86	    ![X20 : sk_A]:
34.67/34.86	      ('const/sets/IN'(sk_B, sk_A2(X20), sk_A1)
34.67/34.86	       | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.67/34.86	tff('75', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A0)
34.67/34.86	       | sk_A3 != X1
34.67/34.86	       | sk_A2 != X0),
34.67/34.86	    inference('clc', [status(thm)], ['73', '74'])).
34.67/34.86	tff('76', plain,
34.67/34.86	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
34.67/34.86	      X9 : X4 > $o, X10 : X5 > $o]:
34.67/34.86	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
34.67/34.86	       | 'const/sets/IN'(X5, X6, X10)),
34.67/34.86	    inference('cnf', [status(esa)], [zf_stmt_1])).
34.67/34.86	tff('77', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (~ $true
34.67/34.86	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A0)
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | sk_A3 != X1),
34.67/34.86	    inference('sup-', [status(thm)], ['76', '71'])).
34.67/34.86	tff('78', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
34.67/34.86	      (sk_A3 != X1
34.67/34.86	       | sk_A2 != X0
34.67/34.86	       | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0), 
34.67/34.86	           sk_A0)),
34.67/34.86	    inference('simplify', [status(thm)], ['77'])).
34.67/34.86	tff('79', plain,
34.67/34.86	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]: (sk_A2 != X0 | sk_A3 != X1),
34.67/34.86	    inference('clc', [status(thm)], ['75', '78'])).
34.67/34.86	tff('80', plain, ![X0 : sk_B > sk_A]: sk_A3 != X0,
34.67/34.86	    inference('eq_res', [status(thm)], ['79'])).
34.67/34.86	tff('81', plain, $false, inference('eq_res', [status(thm)], ['80'])).
34.67/34.86	
34.67/34.86	% SZS output end Refutation
34.67/34.86	EOF
