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    : fo
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-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:38:09 CST 2018
0.35/0.54	% done 401 iterations in 0.333s
0.35/0.54	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.35/0.54	% SZS output start Refutation
0.35/0.54	tff('thm/sets/HAS_SIZE_', axiom,
0.35/0.54	  (![A:$tType,A0:(A > $o),A1:'type/nums/num']:
0.35/0.54	     ('const/sets/HAS_SIZE'(A,A0,A1) <=>
0.35/0.54	      (('const/sets/CARD'(A,A0) = A1) & 'const/sets/FINITE'(A,A0))))).
0.35/0.54	tff('0', plain,
0.35/0.54	    ![X1 : $tType, X2 : X1 > $o, X3 : 'type/nums/num']:
0.35/0.54	      ('const/sets/HAS_SIZE'(X1, X2, X3)
0.35/0.54	       | ~ 'const/sets/FINITE'(X1, X2)
0.35/0.54	       | 'const/sets/CARD'(X1, X2) != X3),
0.35/0.54	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
0.35/0.54	tff('1', plain,
0.35/0.54	    ![X1 : $tType, X2 : X1 > $o]:
0.35/0.54	      (~ 'const/sets/FINITE'(X1, X2)
0.35/0.54	       | 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(X1, X2))),
0.35/0.54	    inference('simplify', [status(thm)], ['0'])).
0.35/0.54	tff('thm/sets/BIJECTIONS_CARD_EQ_', conjecture,
0.35/0.54	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
0.35/0.54	     (((![A4:B]:
0.35/0.54	          ('const/sets/IN'(B,A4,A1) =>
0.35/0.54	           ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
0.35/0.54	       (![A4:A]:
0.35/0.54	          ('const/sets/IN'(A,A4,A0) =>
0.35/0.54	           ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
0.35/0.54	       ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
0.35/0.54	      ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1))))).
0.35/0.54	tff(zf_stmt_0, negated_conjecture,
0.35/0.54	  (~
0.35/0.54	    (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
0.35/0.54	       (((![A4:B]:
0.35/0.54	            ('const/sets/IN'(B,A4,A1) =>
0.35/0.54	             ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
0.35/0.54	         (![A4:A]:
0.35/0.54	            ('const/sets/IN'(A,A4,A0) =>
0.35/0.54	             ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
0.35/0.54	         ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
0.35/0.54	        ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1)))))).
0.35/0.54	tff('2', plain,
0.35/0.54	    ![X21 : sk_B]:
0.35/0.54	      ('const/sets/IN'(sk_A, sk_A3(X21), sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.54	tff('3', plain,
0.35/0.54	    ![X20 : sk_A]:
0.35/0.54	      ('const/sets/IN'(sk_B, sk_A2(X20), sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.54	tff('thm/sets/BIJECTIONS_HAS_SIZE_EQ_', axiom,
0.35/0.54	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
0.35/0.54	     (((![A4:A]:
0.35/0.54	          ('const/sets/IN'(A,A4,A0) =>
0.35/0.54	           ('const/sets/IN'(B,A2(A4),A1) & (A3(A2(A4)) = A4)))) & 
0.35/0.54	       (![A4:B]:
0.35/0.54	          ('const/sets/IN'(B,A4,A1) =>
0.35/0.54	           ('const/sets/IN'(A,A3(A4),A0) & (A2(A3(A4)) = A4))))) =>
0.35/0.54	      (![A4:'type/nums/num']:
0.35/0.54	         ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))))).
0.35/0.54	tff(zf_stmt_1, axiom,
0.35/0.54	  (('const/sets/IN'(A,A4,A0) =>
0.35/0.54	    ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1))) =>
0.35/0.54	   zip_tseitin0(B,A,A4,A3,A2,A1,A0))).
0.35/0.54	tff('4', plain,
0.35/0.54	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
0.35/0.54	      X9 : X4 > $o, X10 : X5 > $o]:
0.35/0.54	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
0.35/0.54	       | 'const/sets/IN'(X5, X6, X10)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.35/0.54	tff(zf_stmt_2, axiom,
0.35/0.54	  (('const/sets/IN'(B,A4,A1) =>
0.35/0.54	    ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0))) =>
0.35/0.54	   zip_tseitin1(B,A,A4,A3,A2,A1,A0))).
0.35/0.54	tff('5', plain,
0.35/0.54	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
0.35/0.54	      X10 : X5 > $o, X11 : X4]:
0.35/0.54	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
0.35/0.54	       | 'const/sets/IN'(X4, X11, X9)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.35/0.54	tff(zf_stmt_3, type, zip_tseitin2 :
0.35/0.54	    !>[B:$tType,A:$tType]: (('type/nums/num' * B > $o * A > $o) > $o)).
0.35/0.54	tff(zf_stmt_4, axiom,
0.35/0.54	  (zip_tseitin2(B,A,A4,A1,A0) =>
0.35/0.54	   ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))).
0.35/0.54	tff(zf_stmt_5, type, zip_tseitin1 :
0.35/0.54	    !>[B:$tType,A:$tType]: ((B * B > A * A > B * B > $o * A > $o) > $o)).
0.35/0.54	tff(zf_stmt_6, type, zip_tseitin0 :
0.35/0.54	    !>[B:$tType,A:$tType]: ((A * B > A * A > B * B > $o * A > $o) > $o)).
0.35/0.54	tff(zf_stmt_7, axiom,
0.35/0.54	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
0.35/0.54	     (((![A4:B]: zip_tseitin1(B,A,A4,A3,A2,A1,A0)) & 
0.35/0.54	       (![A4:A]: zip_tseitin0(B,A,A4,A3,A2,A1,A0))) =>
0.35/0.54	      (![A4:'type/nums/num']: zip_tseitin2(B,A,A4,A1,A0))))).
0.35/0.54	tff('6', plain,
0.35/0.54	    ![X13 : $tType, X14 : $tType, X15 : 'type/nums/num', X16 : X13 > $o, 
0.35/0.54	      X17 : X14 > $o, X18 : X13 > X14, X19 : X14 > X13]:
0.35/0.54	      (zip_tseitin2(X13, X14, X15, X16, X17)
0.35/0.54	       | ~ zip_tseitin1(X13, X14, sk_A41(X13, X14, X18, X19, X16, X17), X18, 
0.35/0.54	             X19, X16, X17)
0.35/0.54	       | ~ zip_tseitin0(X13, X14, sk_A4(X13, X14, X18, X19, X16, X17), X18, 
0.35/0.54	             X19, X16, X17)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.35/0.54	tff('7', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
0.35/0.54	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.35/0.54	             X1)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['5', '6'])).
0.35/0.54	tff('8', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.35/0.54	             X1)
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)),
0.35/0.54	    inference('simplify', [status(thm)], ['7'])).
0.35/0.54	tff('9', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['4', '8'])).
0.35/0.54	tff('10', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['9'])).
0.35/0.54	tff('11', plain,
0.35/0.54	    ![X20 : sk_A]:
0.35/0.54	      (sk_A3(sk_A2(X20)) = X20 | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.54	tff('12', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_A, X3 : sk_A > X0, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(sk_A, X0, X3, X2, sk_A0, X1), X1)
0.35/0.54	       | zip_tseitin2(sk_A, X0, X4, sk_A0, X1)
0.35/0.54	       | sk_A3(sk_A2(sk_A41(sk_A, X0, X3, X2, sk_A0, X1)))
0.35/0.54	          = sk_A41(sk_A, X0, X3, X2, sk_A0, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['10', '11'])).
0.35/0.54	tff('13', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_A, X3 : sk_A > X0, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (sk_A3(sk_A2(sk_A41(sk_A, X0, X3, X2, sk_A0, X1)))
0.35/0.54	        = sk_A41(sk_A, X0, X3, X2, sk_A0, X1)
0.35/0.54	       | zip_tseitin2(sk_A, X0, X4, sk_A0, X1)
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(sk_A, X0, X3, X2, sk_A0, X1), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['12'])).
0.35/0.54	tff('14', plain,
0.35/0.54	    ![X21 : sk_B]:
0.35/0.54	      (sk_A2(sk_A3(X21)) = X21 | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.54	tff('15', plain,
0.35/0.54	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B, X2 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X2, sk_A0, sk_A1)
0.35/0.54	       | sk_A3(sk_A2(sk_A41(sk_A, sk_B, X1, X0, sk_A0, sk_A1)))
0.35/0.54	          = sk_A41(sk_A, sk_B, X1, X0, sk_A0, sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, X1, X0, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, X1, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['13', '14'])).
0.35/0.54	tff('16', plain,
0.35/0.54	    ![X0 : sk_B > sk_A, X1 : sk_A > sk_B, X2 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A4(sk_A, sk_B, X1, X0, sk_A0, sk_A1)))
0.35/0.54	        = sk_A4(sk_A, sk_B, X1, X0, sk_A0, sk_A1)
0.35/0.54	       | sk_A3(sk_A2(sk_A41(sk_A, sk_B, X1, X0, sk_A0, sk_A1)))
0.35/0.54	          = sk_A41(sk_A, sk_B, X1, X0, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X2, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['15'])).
0.35/0.54	tff('17', plain,
0.35/0.54	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
0.35/0.54	      X10 : X5 > $o, X11 : X4]:
0.35/0.54	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
0.35/0.54	       | X8(X7(X11)) != X11
0.35/0.54	       | ~ 'const/sets/IN'(X5, X7(X11), X10)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.35/0.54	tff('18', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.35/0.54	             X1)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['17', '6'])).
0.35/0.54	tff('19', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.35/0.54	             X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['18'])).
0.35/0.54	tff('20', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['4', '19'])).
0.35/0.54	tff('21', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(X2, X0, X5, X4, X3, X1), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['20'])).
0.35/0.54	tff('22', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	        != sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['16', '21'])).
0.35/0.54	tff('23', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['22'])).
0.35/0.54	tff('24', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)),
0.35/0.54	    inference('condensation', [status(thm)], ['23'])).
0.35/0.54	tff('25', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	        = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('clc', [status(thm)], ['24', '14'])).
0.35/0.54	tff('26', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['3', '25'])).
0.35/0.54	tff('27', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	        = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['26'])).
0.35/0.54	tff('28', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_B > X0, X3 : X0 > sk_B, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X0, sk_A41(X0, sk_B, X3, X2, X1, sk_A1), X1)
0.35/0.54	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(X0, sk_B, X3, X2, X1, sk_A1)))
0.35/0.54	          = sk_A4(X0, sk_B, X3, X2, X1, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['10', '14'])).
0.35/0.54	tff('29', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : sk_B > X0, X3 : X0 > sk_B, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A4(X0, sk_B, X3, X2, X1, sk_A1)))
0.35/0.54	        = sk_A4(X0, sk_B, X3, X2, X1, sk_A1)
0.35/0.54	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.35/0.54	       | 'const/sets/IN'(X0, sk_A41(X0, sk_B, X3, X2, X1, sk_A1), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['28'])).
0.35/0.54	tff('30', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)),
0.35/0.54	    inference('clc', [status(thm)], ['27', '29'])).
0.35/0.54	tff('31', plain,
0.35/0.54	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
0.35/0.54	      X9 : X4 > $o, X10 : X5 > $o]:
0.35/0.54	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
0.35/0.54	       | X7(X8(X6)) != X6
0.35/0.54	       | ~ 'const/sets/IN'(X4, X8(X6), X9)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.35/0.54	tff('32', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(X2, X4(sk_A4(X2, X0, X5, X4, X3, X1)), X3)
0.35/0.54	       | X5(X4(sk_A4(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A4(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['31', '8'])).
0.35/0.54	tff('33', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
0.35/0.54	       | X5(X4(sk_A4(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A4(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X2, X4(sk_A4(X2, X0, X5, X4, X3, X1)), X3)),
0.35/0.54	    inference('simplify', [status(thm)], ['32'])).
0.35/0.54	tff('34', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	        != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['30', '33'])).
0.35/0.54	tff('35', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['34'])).
0.35/0.54	tff('36', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.35/0.54	    inference('condensation', [status(thm)], ['35'])).
0.35/0.54	tff('37', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['2', '36'])).
0.35/0.54	tff('38', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['37'])).
0.35/0.54	tff('39', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      ('const/sets/IN'(sk_A, sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), 
0.35/0.54	         sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('clc', [status(thm)], ['38', '10'])).
0.35/0.54	tff('40', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | sk_A3(sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          = sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['39', '11'])).
0.35/0.54	tff('41', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (sk_A3(sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	        = sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['40'])).
0.35/0.54	tff('42', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(X2, X4(sk_A4(X2, X0, X5, X4, X3, X1)), X3)
0.35/0.54	       | X5(X4(sk_A4(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A4(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['31', '19'])).
0.35/0.54	tff('43', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
0.35/0.54	      X5 : X2 > X0, X6 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.35/0.54	       | X4(X5(sk_A41(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X0, X5(sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.35/0.54	       | X5(X4(sk_A4(X2, X0, X5, X4, X3, X1)))
0.35/0.54	          != sk_A4(X2, X0, X5, X4, X3, X1)
0.35/0.54	       | ~ 'const/sets/IN'(X2, X4(sk_A4(X2, X0, X5, X4, X3, X1)), X3)),
0.35/0.54	    inference('simplify', [status(thm)], ['42'])).
0.35/0.54	tff('44', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	        != sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['41', '43'])).
0.35/0.54	tff('45', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['44'])).
0.35/0.54	tff('46', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.35/0.54	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.35/0.54	    inference('condensation', [status(thm)], ['45'])).
0.35/0.54	tff('47', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('clc', [status(thm)], ['46', '30'])).
0.35/0.54	tff('48', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['3', '47'])).
0.35/0.54	tff('49', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/IN'(sk_A, 
0.35/0.54	           sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['48'])).
0.35/0.54	tff('50', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A3(sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.35/0.54	    inference('clc', [status(thm)], ['49', '39'])).
0.35/0.54	tff('51', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['2', '50'])).
0.35/0.54	tff('52', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['51'])).
0.35/0.54	tff('53', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	        != sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['41', '21'])).
0.35/0.54	tff('54', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.35/0.54	    inference('simplify', [status(thm)], ['53'])).
0.35/0.54	tff('55', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)),
0.35/0.54	    inference('condensation', [status(thm)], ['54'])).
0.35/0.54	tff('56', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('sup-', [status(thm)], ['3', '55'])).
0.35/0.54	tff('57', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['56'])).
0.35/0.54	tff('58', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      ('const/sets/IN'(sk_B, sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), 
0.35/0.54	         sk_A1)
0.35/0.54	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.35/0.54	    inference('clc', [status(thm)], ['57', '39'])).
0.35/0.54	tff('59', plain,
0.35/0.54	    ![X0 : 'type/nums/num']: zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1),
0.35/0.54	    inference('clc', [status(thm)], ['52', '58'])).
0.35/0.54	tff('60', plain,
0.35/0.54	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
0.35/0.54	      X12 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/HAS_SIZE'(X5, X10, X12)
0.35/0.54	       | 'const/sets/HAS_SIZE'(X4, X9, X12)
0.35/0.54	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.35/0.54	tff('61', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
0.35/0.54	    inference('sup-', [status(thm)], ['59', '60'])).
0.35/0.54	tff('62', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.54	    inference('simplify', [status(thm)], ['61'])).
0.35/0.54	tff('63', plain,
0.35/0.54	    (~ $true
0.35/0.54	     | ~ 'const/sets/FINITE'(sk_B, sk_A1)
0.35/0.54	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_B, sk_A1))),
0.35/0.54	    inference('sup-', [status(thm)], ['1', '62'])).
0.35/0.54	tff('64', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)
0.35/0.54	       | zip_tseitin2(sk_B, X0, X4, sk_A1, X1)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)))
0.35/0.54	          = sk_A41(sk_B, X0, X3, X2, sk_A1, X1)),
0.35/0.54	    inference('sup-', [status(thm)], ['10', '14'])).
0.35/0.54	tff('65', plain,
0.35/0.54	    ![X0 : $tType, X1 : X0 > $o, X2 : X0 > sk_B, X3 : sk_B > X0, 
0.35/0.54	      X4 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A41(sk_B, X0, X3, X2, sk_A1, X1)))
0.35/0.54	        = sk_A41(sk_B, X0, X3, X2, sk_A1, X1)
0.35/0.54	       | zip_tseitin2(sk_B, X0, X4, sk_A1, X1)
0.35/0.54	       | 'const/sets/IN'(X0, sk_A4(sk_B, X0, X3, X2, sk_A1, X1), X1)),
0.35/0.54	    inference('simplify', [status(thm)], ['64'])).
0.35/0.54	tff('66', plain,
0.35/0.54	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X2, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['65', '11'])).
0.35/0.54	tff('67', plain,
0.35/0.54	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A, X2 : 'type/nums/num']:
0.35/0.54	      (sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	        = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X2, sk_A1, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['66'])).
0.35/0.54	tff('68', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
0.35/0.54	      (~ $true
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.54	    inference('sup-', [status(thm)], ['67', '60'])).
0.35/0.54	tff('69', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
0.35/0.54	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['68'])).
0.35/0.54	tff('70', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
0.35/0.54	      ('const/sets/CARD'(X1, X2) = X0 | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
0.35/0.54	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
0.35/0.54	tff('71', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
0.35/0.54	      (~ $true
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | 'const/sets/CARD'(sk_B, sk_A1) = X0),
0.35/0.54	    inference('sup-', [status(thm)], ['69', '70'])).
0.35/0.54	tff('72', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : sk_A > sk_B, X2 : sk_B > sk_A]:
0.35/0.54	      ('const/sets/CARD'(sk_B, sk_A1) = X0
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X2, X1, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X2, X1, sk_A1, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['71'])).
0.35/0.54	tff('73', plain,
0.35/0.54	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['1', '72'])).
0.35/0.54	tff('74', plain,
0.35/0.54	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
0.35/0.54	      ('const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)
0.35/0.54	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['73'])).
0.35/0.54	tff('75', plain,
0.35/0.54	    'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_B, sk_A1),
0.35/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.54	tff('76', plain,
0.35/0.54	    ![X0 : sk_A > sk_B, X1 : sk_B > sk_A]:
0.35/0.54	      (sk_A3(sk_A2(sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	        = sk_A4(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, X1, X0, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('simplify_reflect-', [status(thm)], ['74', '75'])).
0.35/0.54	tff('77', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	        != sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['76', '33'])).
0.35/0.54	tff('78', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/IN'(sk_B, 
0.35/0.54	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['77'])).
0.35/0.54	tff('79', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.54	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.54	    inference('clc', [status(thm)], ['78', '14'])).
0.35/0.54	tff('80', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['3', '79'])).
0.35/0.54	tff('81', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.54	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['80'])).
0.35/0.54	tff('82', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('clc', [status(thm)], ['81', '65'])).
0.35/0.54	tff('83', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.54	    inference('sup-', [status(thm)], ['82', '60'])).
0.35/0.54	tff('84', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['83'])).
0.35/0.54	tff('85', plain,
0.35/0.54	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
0.35/0.54	      ('const/sets/FINITE'(X1, X2) | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
0.35/0.54	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
0.35/0.54	tff('86', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	        = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.54	    inference('clc', [status(thm)], ['84', '85'])).
0.35/0.54	tff('87', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      (~ $true
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | 'const/sets/CARD'(sk_B, sk_A1) = X0),
0.35/0.54	    inference('sup-', [status(thm)], ['86', '70'])).
0.35/0.54	tff('88', plain,
0.35/0.54	    ![X0 : 'type/nums/num']:
0.35/0.54	      ('const/sets/CARD'(sk_B, sk_A1) = X0
0.35/0.54	       | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	          = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.54	    inference('simplify', [status(thm)], ['87'])).
0.35/0.54	tff('89', plain,
0.35/0.54	    (~ $true
0.35/0.54	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.54	     | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	        = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	     | 'const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)),
0.35/0.54	    inference('sup-', [status(thm)], ['1', '88'])).
0.35/0.54	tff('90', plain,
0.35/0.54	    ('const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)
0.35/0.54	     | sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.54	        = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.54	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.54	    inference('simplify', [status(thm)], ['89'])).
0.35/0.54	tff('91', plain,
0.35/0.55	    (sk_A2(sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.55	      = sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify_reflect-', [status(thm)], ['90', '75'])).
0.35/0.55	tff('92', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	        != sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.55	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.55	          != sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['91', '43'])).
0.35/0.55	tff('93', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | sk_A3(sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.55	          != sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['92'])).
0.35/0.55	tff('94', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	        != sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['91', '21'])).
0.35/0.55	tff('95', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['94'])).
0.35/0.55	tff('96', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['2', '95'])).
0.35/0.55	tff('97', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)),
0.35/0.55	    inference('simplify', [status(thm)], ['96'])).
0.35/0.55	tff('98', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('clc', [status(thm)], ['97', '10'])).
0.35/0.55	tff('99', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('sup-', [status(thm)], ['98', '60'])).
0.35/0.55	tff('100', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['99'])).
0.35/0.55	tff('101', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('clc', [status(thm)], ['100', '85'])).
0.35/0.55	tff('102', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | 'const/sets/CARD'(sk_B, sk_A1) = X0),
0.35/0.55	    inference('sup-', [status(thm)], ['101', '70'])).
0.35/0.55	tff('103', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/CARD'(sk_B, sk_A1) = X0
0.35/0.55	       | 'const/sets/IN'(sk_A, 
0.35/0.55	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('simplify', [status(thm)], ['102'])).
0.35/0.55	tff('104', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	     | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A0)
0.35/0.55	     | 'const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['1', '103'])).
0.35/0.55	tff('105', plain,
0.35/0.55	    ('const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)
0.35/0.55	     | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A0)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['104'])).
0.35/0.55	tff('106', plain,
0.35/0.55	    ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	       sk_A0)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify_reflect-', [status(thm)], ['105', '75'])).
0.35/0.55	tff('107', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	     | sk_A3(sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.55	        = sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['106', '11'])).
0.35/0.55	tff('108', plain,
0.35/0.55	    (sk_A3(sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)))
0.35/0.55	      = sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['107'])).
0.35/0.55	tff('109', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('clc', [status(thm)], ['93', '108'])).
0.35/0.55	tff('110', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['3', '109'])).
0.35/0.55	tff('111', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['110'])).
0.35/0.55	tff('112', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('clc', [status(thm)], ['111', '106'])).
0.35/0.55	tff('113', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['2', '112'])).
0.35/0.55	tff('114', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)),
0.35/0.55	    inference('simplify', [status(thm)], ['113'])).
0.35/0.55	tff('115', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	        != sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['108', '33'])).
0.35/0.55	tff('116', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/IN'(sk_B, 
0.35/0.55	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['115'])).
0.35/0.55	tff('117', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['3', '116'])).
0.35/0.55	tff('118', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | ~ 'const/sets/IN'(sk_A, 
0.35/0.55	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['117'])).
0.35/0.55	tff('119', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('clc', [status(thm)], ['118', '106'])).
0.35/0.55	tff('120', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('sup-', [status(thm)], ['119', '60'])).
0.35/0.55	tff('121', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)),
0.35/0.55	    inference('simplify', [status(thm)], ['120'])).
0.35/0.55	tff('122', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A1)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('clc', [status(thm)], ['121', '85'])).
0.35/0.55	tff('123', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | 'const/sets/CARD'(sk_B, sk_A1) = X0),
0.35/0.55	    inference('sup-', [status(thm)], ['122', '70'])).
0.35/0.55	tff('124', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/CARD'(sk_B, sk_A1) = X0
0.35/0.55	       | 'const/sets/IN'(sk_B, 
0.35/0.55	           sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A1)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('simplify', [status(thm)], ['123'])).
0.35/0.55	tff('125', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	     | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A1)
0.35/0.55	     | 'const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)),
0.35/0.55	    inference('sup-', [status(thm)], ['1', '124'])).
0.35/0.55	tff('126', plain,
0.35/0.55	    ('const/sets/CARD'(sk_B, sk_A1) = 'const/sets/CARD'(sk_A, sk_A0)
0.35/0.55	     | 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	         sk_A1)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['125'])).
0.35/0.55	tff('127', plain,
0.35/0.55	    ('const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
0.35/0.55	       sk_A1)
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify_reflect-', [status(thm)], ['126', '75'])).
0.35/0.55	tff('128', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
0.35/0.55	    inference('clc', [status(thm)], ['114', '127'])).
0.35/0.55	tff('129', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('sup-', [status(thm)], ['128', '60'])).
0.35/0.55	tff('130', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['129'])).
0.35/0.55	tff('131', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('clc', [status(thm)], ['130', '85'])).
0.35/0.55	tff('132', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      (~ $true
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
0.35/0.55	       | 'const/sets/FINITE'(sk_B, sk_A1)),
0.35/0.55	    inference('sup-', [status(thm)], ['131', '85'])).
0.35/0.55	tff('133', plain,
0.35/0.55	    ![X0 : 'type/nums/num']:
0.35/0.55	      ('const/sets/FINITE'(sk_B, sk_A1)
0.35/0.55	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
0.35/0.55	    inference('simplify', [status(thm)], ['132'])).
0.35/0.55	tff('134', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | ~ 'const/sets/FINITE'(sk_A, sk_A0)
0.35/0.55	     | 'const/sets/FINITE'(sk_B, sk_A1)),
0.35/0.55	    inference('sup-', [status(thm)], ['1', '133'])).
0.35/0.55	tff('135', plain,
0.35/0.55	    ('const/sets/FINITE'(sk_B, sk_A1) | ~ 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('simplify', [status(thm)], ['134'])).
0.35/0.55	tff('136', plain,
0.35/0.55	    ('const/sets/FINITE'(sk_B, sk_A1) | 'const/sets/FINITE'(sk_A, sk_A0)),
0.35/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.35/0.55	tff('137', plain, 'const/sets/FINITE'(sk_B, sk_A1),
0.35/0.55	    inference('clc', [status(thm)], ['135', '136'])).
0.35/0.55	tff('138', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | ~ $true
0.35/0.55	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_B, sk_A1))),
0.35/0.55	    inference('demod', [status(thm)], ['63', '137'])).
0.35/0.55	tff('139', plain,
0.35/0.55	    'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_B, sk_A1)),
0.35/0.55	    inference('simplify', [status(thm)], ['138'])).
0.35/0.55	tff('140', plain,
0.35/0.55	    (~ $true
0.35/0.55	     | 'const/sets/CARD'(sk_A, sk_A0) = 'const/sets/CARD'(sk_B, sk_A1)),
0.35/0.55	    inference('sup-', [status(thm)], ['139', '70'])).
0.35/0.55	tff('141', plain,
0.35/0.55	    'const/sets/CARD'(sk_A, sk_A0) = 'const/sets/CARD'(sk_B, sk_A1),
0.35/0.55	    inference('simplify', [status(thm)], ['140'])).
0.35/0.55	tff('142', plain, $false,
0.35/0.55	    inference('simplify_reflect-', [status(thm)], ['141', '75'])).
0.35/0.55	
0.35/0.55	% SZS output end Refutation
0.35/0.55	EOF
