0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n042.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:38:09 CST 2018
5.01/5.22	% done 1421 iterations in 5.017s
5.01/5.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
5.01/5.22	% SZS output start Refutation
5.01/5.22	tff('thm/sets/BIJECTIONS_CARD_EQ_', conjecture,
5.01/5.22	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
5.01/5.22	     (((![A4:B]:
5.01/5.22	          ('const/sets/IN'(B,A4,A1) =>
5.01/5.22	           ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
5.01/5.22	       (![A4:A]:
5.01/5.22	          ('const/sets/IN'(A,A4,A0) =>
5.01/5.22	           ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
5.01/5.22	       ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
5.01/5.22	      ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1))))).
5.01/5.22	tff(zf_stmt_0, negated_conjecture,
5.01/5.22	  (~
5.01/5.22	    (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
5.01/5.22	       (((![A4:B]:
5.01/5.22	            ('const/sets/IN'(B,A4,A1) =>
5.01/5.22	             ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0)))) & 
5.01/5.22	         (![A4:A]:
5.01/5.22	            ('const/sets/IN'(A,A4,A0) =>
5.01/5.22	             ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1)))) & 
5.01/5.22	         ('const/sets/FINITE'(B,A1) | 'const/sets/FINITE'(A,A0))) =>
5.01/5.22	        ('const/sets/CARD'(A,A0) = 'const/sets/CARD'(B,A1)))))).
5.01/5.22	tff('0', plain,
5.01/5.22	    ('const/sets/FINITE'(sk_B, sk_A1) | 'const/sets/FINITE'(sk_A, sk_A0)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('thm/sets/HAS_SIZE_', axiom,
5.01/5.22	  (![A:$tType,A0:(A > $o),A1:'type/nums/num']:
5.01/5.22	     ('const/sets/HAS_SIZE'(A,A0,A1) <=>
5.01/5.22	      (('const/sets/CARD'(A,A0) = A1) & 'const/sets/FINITE'(A,A0))))).
5.01/5.22	tff('1', plain,
5.01/5.22	    ![X1 : $tType, X2 : X1 > $o, X3 : 'type/nums/num']:
5.01/5.22	      ('const/sets/HAS_SIZE'(X1, X2, X3)
5.01/5.22	       | ~ 'const/sets/FINITE'(X1, X2)
5.01/5.22	       | 'const/sets/CARD'(X1, X2) != X3),
5.01/5.22	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
5.01/5.22	tff('2', plain,
5.01/5.22	    ![X1 : $tType, X2 : X1 > $o]:
5.01/5.22	      (~ 'const/sets/FINITE'(X1, X2)
5.01/5.22	       | 'const/sets/HAS_SIZE'(X1, X2, 'const/sets/CARD'(X1, X2))),
5.01/5.22	    inference('simplify', [status(thm)], ['1'])).
5.01/5.22	tff('3', plain,
5.01/5.22	    (~ $true
5.01/5.22	     | 'const/sets/FINITE'(sk_A, sk_A0)
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))),
5.01/5.22	    inference('sup-', [status(thm)], ['0', '2'])).
5.01/5.22	tff('4', plain,
5.01/5.22	    ('const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
5.01/5.22	     | 'const/sets/FINITE'(sk_A, sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['3'])).
5.01/5.22	tff('5', plain,
5.01/5.22	    (~ $true
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
5.01/5.22	    inference('sup-', [status(thm)], ['4', '2'])).
5.01/5.22	tff('6', plain,
5.01/5.22	    ('const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_B, sk_A1))),
5.01/5.22	    inference('simplify', [status(thm)], ['5'])).
5.01/5.22	tff('7', plain,
5.01/5.22	    ![X20 : sk_A]:
5.01/5.22	      ('const/sets/IN'(sk_B, sk_A2(X20), sk_A1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('8', plain,
5.01/5.22	    ![X20 : sk_A]:
5.01/5.22	      (sk_A3(sk_A2(X20)) = X20 | ~ 'const/sets/IN'(sk_A, X20, sk_A0)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('thm/sets/BIJECTIONS_HAS_SIZE_EQ_', axiom,
5.01/5.22	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
5.01/5.22	     (((![A4:A]:
5.01/5.22	          ('const/sets/IN'(A,A4,A0) =>
5.01/5.22	           ('const/sets/IN'(B,A2(A4),A1) & (A3(A2(A4)) = A4)))) & 
5.01/5.22	       (![A4:B]:
5.01/5.22	          ('const/sets/IN'(B,A4,A1) =>
5.01/5.22	           ('const/sets/IN'(A,A3(A4),A0) & (A2(A3(A4)) = A4))))) =>
5.01/5.22	      (![A4:'type/nums/num']:
5.01/5.22	         ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))))).
5.01/5.22	tff(zf_stmt_1, axiom,
5.01/5.22	  (('const/sets/IN'(A,A4,A0) =>
5.01/5.22	    ((A3(A2(A4)) = A4) & 'const/sets/IN'(B,A2(A4),A1))) =>
5.01/5.22	   zip_tseitin0(B,A,A4,A3,A2,A1,A0))).
5.01/5.22	tff('9', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
5.01/5.22	      X9 : X4 > $o, X10 : X5 > $o]:
5.01/5.22	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
5.01/5.22	       | X7(X8(X6)) != X6
5.01/5.22	       | ~ 'const/sets/IN'(X4, X8(X6), X9)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
5.01/5.22	tff('10', plain,
5.01/5.22	    ![X0 : sk_A, X1 : sk_B > $o, X2 : sk_A > $o]:
5.01/5.22	      (X0 != X0
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, sk_A2(X0), X1)
5.01/5.22	       | zip_tseitin0(sk_B, sk_A, X0, sk_A3, sk_A2, X1, X2)),
5.01/5.22	    inference('sup-', [status(thm)], ['8', '9'])).
5.01/5.22	tff('11', plain,
5.01/5.22	    ![X0 : sk_A, X1 : sk_B > $o, X2 : sk_A > $o]:
5.01/5.22	      (zip_tseitin0(sk_B, sk_A, X0, sk_A3, sk_A2, X1, X2)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, sk_A2(X0), X1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, X0, sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['10'])).
5.01/5.22	tff(zf_stmt_2, axiom,
5.01/5.22	  (('const/sets/IN'(B,A4,A1) =>
5.01/5.22	    ((A2(A3(A4)) = A4) & 'const/sets/IN'(A,A3(A4),A0))) =>
5.01/5.22	   zip_tseitin1(B,A,A4,A3,A2,A1,A0))).
5.01/5.22	tff('12', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
5.01/5.22	      X10 : X5 > $o, X11 : X4]:
5.01/5.22	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
5.01/5.22	       | 'const/sets/IN'(X4, X11, X9)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
5.01/5.22	tff(zf_stmt_3, type, zip_tseitin2 :
5.01/5.22	    !>[B:$tType,A:$tType]: (('type/nums/num' * B > $o * A > $o) > $o)).
5.01/5.22	tff(zf_stmt_4, axiom,
5.01/5.22	  (zip_tseitin2(B,A,A4,A1,A0) =>
5.01/5.22	   ('const/sets/HAS_SIZE'(A,A0,A4) <=> 'const/sets/HAS_SIZE'(B,A1,A4)))).
5.01/5.22	tff(zf_stmt_5, type, zip_tseitin1 :
5.01/5.22	    !>[B:$tType,A:$tType]: ((B * B > A * A > B * B > $o * A > $o) > $o)).
5.01/5.22	tff(zf_stmt_6, type, zip_tseitin0 :
5.01/5.22	    !>[B:$tType,A:$tType]: ((A * B > A * A > B * B > $o * A > $o) > $o)).
5.01/5.22	tff(zf_stmt_7, axiom,
5.01/5.22	  (![A:$tType,B:$tType,A0:(A > $o),A1:(B > $o),A2:(A > B),A3:(B > A)]:
5.01/5.22	     (((![A4:B]: zip_tseitin1(B,A,A4,A3,A2,A1,A0)) & 
5.01/5.22	       (![A4:A]: zip_tseitin0(B,A,A4,A3,A2,A1,A0))) =>
5.01/5.22	      (![A4:'type/nums/num']: zip_tseitin2(B,A,A4,A1,A0))))).
5.01/5.22	tff('13', plain,
5.01/5.22	    ![X13 : $tType, X14 : $tType, X15 : 'type/nums/num', X16 : X13 > $o, 
5.01/5.22	      X17 : X14 > $o, X18 : X13 > X14, X19 : X14 > X13]:
5.01/5.22	      (zip_tseitin2(X13, X14, X15, X16, X17)
5.01/5.22	       | ~ zip_tseitin1(X13, X14, sk_A41(X13, X14, X18, X19, X16, X17), X18, 
5.01/5.22	             X19, X16, X17)
5.01/5.22	       | ~ zip_tseitin0(X13, X14, sk_A4(X13, X14, X18, X19, X16, X17), X18, 
5.01/5.22	             X19, X16, X17)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
5.01/5.22	tff('14', plain,
5.01/5.22	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
5.01/5.22	      X5 : X2 > X0, X6 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)
5.01/5.22	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
5.01/5.22	             X1)
5.01/5.22	       | zip_tseitin2(X2, X0, X6, X3, X1)),
5.01/5.22	    inference('sup-', [status(thm)], ['12', '13'])).
5.01/5.22	tff('15', plain,
5.01/5.22	    ![X0 : $tType, X1 : X0 > $o, X2 : $tType, X3 : X2 > $o, X4 : X0 > X2, 
5.01/5.22	      X5 : X2 > X0, X6 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(X2, X0, X6, X3, X1)
5.01/5.22	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
5.01/5.22	             X1)
5.01/5.22	       | 'const/sets/IN'(X2, sk_A41(X2, X0, X5, X4, X3, X1), X3)),
5.01/5.22	    inference('simplify', [status(thm)], ['14'])).
5.01/5.22	tff('16', plain,
5.01/5.22	    ![X21 : sk_B]:
5.01/5.22	      ('const/sets/IN'(sk_A, sk_A3(X21), sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('17', plain,
5.01/5.22	    ![X21 : sk_B]:
5.01/5.22	      (sk_A2(sk_A3(X21)) = X21 | ~ 'const/sets/IN'(sk_B, X21, sk_A1)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('18', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X7 : X4 > X5, X8 : X5 > X4, X9 : X4 > $o, 
5.01/5.22	      X10 : X5 > $o, X11 : X4]:
5.01/5.22	      (zip_tseitin1(X4, X5, X11, X7, X8, X9, X10)
5.01/5.22	       | X8(X7(X11)) != X11
5.01/5.22	       | ~ 'const/sets/IN'(X5, X7(X11), X10)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
5.01/5.22	tff('19', plain,
5.01/5.22	    ![X0 : sk_B, X1 : sk_A > $o, X2 : sk_B > $o]:
5.01/5.22	      (X0 != X0
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, X0, sk_A1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, sk_A3(X0), X1)
5.01/5.22	       | zip_tseitin1(sk_B, sk_A, X0, sk_A3, sk_A2, X2, X1)),
5.01/5.22	    inference('sup-', [status(thm)], ['17', '18'])).
5.01/5.22	tff('20', plain,
5.01/5.22	    ![X0 : sk_B, X1 : sk_A > $o, X2 : sk_B > $o]:
5.01/5.22	      (zip_tseitin1(sk_B, sk_A, X0, sk_A3, sk_A2, X2, X1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, sk_A3(X0), X1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, X0, sk_A1)),
5.01/5.22	    inference('simplify', [status(thm)], ['19'])).
5.01/5.22	tff('21', plain,
5.01/5.22	    ![X0 : sk_A > $o, X1 : sk_B > $o, X2 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, X1, X0), 
5.01/5.22	             sk_A1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, 
5.01/5.22	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, X1, X0)), X0)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, X1, X0), 
5.01/5.22	             sk_A3, sk_A2, X1, X0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X2, X1, X0)),
5.01/5.22	    inference('sup-', [status(thm)], ['20', '13'])).
5.01/5.22	tff('22', plain,
5.01/5.22	    ![X0 : sk_A > $o, X1 : sk_B > $o, X2 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X2, X1, X0)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, X1, X0), 
5.01/5.22	             sk_A3, sk_A2, X1, X0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, 
5.01/5.22	             sk_A3(sk_A41(sk_B, sk_A, sk_A3, sk_A2, X1, X0)), X0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, sk_A41(sk_B, sk_A, sk_A3, sk_A2, X1, X0), 
5.01/5.22	             sk_A1)),
5.01/5.22	    inference('simplify', [status(thm)], ['21'])).
5.01/5.22	tff('23', plain,
5.01/5.22	    ![X0 : sk_B > $o, X1 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, X0, sk_A0), sk_A1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, X0, sk_A0), sk_A1)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, X0, sk_A0), sk_A3, sk_A2, X0, 
5.01/5.22	             sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X1, X0, sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['16', '22'])).
5.01/5.22	tff('24', plain,
5.01/5.22	    ![X0 : sk_B > $o, X1 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X1, X0, sk_A0)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, X0, sk_A0), sk_A3, sk_A2, X0, 
5.01/5.22	             sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A41(sk_B, sk_A, sk_A3, sk_A2, X0, sk_A0), sk_A1)),
5.01/5.22	    inference('simplify', [status(thm)], ['23'])).
5.01/5.22	tff('25', plain,
5.01/5.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A3, sk_A2, 
5.01/5.22	             sk_A1, sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X1, sk_A1, sk_A0)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A3, sk_A2, 
5.01/5.22	             sk_A1, sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['15', '24'])).
5.01/5.22	tff('26', plain,
5.01/5.22	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X1, sk_A1, sk_A0)
5.01/5.22	       | ~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A3, sk_A2, 
5.01/5.22	             sk_A1, sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['25'])).
5.01/5.22	tff('27', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ zip_tseitin0(sk_B, sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A3, sk_A2, 
5.01/5.22	           sk_A1, sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('condensation', [status(thm)], ['26'])).
5.01/5.22	tff('28', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['11', '27'])).
5.01/5.22	tff('29', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['28'])).
5.01/5.22	tff('30', plain,
5.01/5.22	    ![X0 : 'type/nums/num', X1 : $tType, X2 : X1 > $o]:
5.01/5.22	      ('const/sets/CARD'(X1, X2) = X0 | ~ 'const/sets/HAS_SIZE'(X1, X2, X0)),
5.01/5.22	    inference('cnf', [status(esa)], [thm/sets/HAS_SIZE_])).
5.01/5.22	tff('31', plain,
5.01/5.22	    ![X0 : $tType, X1 : X0 > $o]:
5.01/5.22	      ('const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(X0, X1))
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
5.01/5.22	    inference('sup+', [status(thm)], ['30', '6'])).
5.01/5.22	tff('32', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X6 : X5, X7 : X4 > X5, X8 : X5 > X4, 
5.01/5.22	      X9 : X4 > $o, X10 : X5 > $o]:
5.01/5.22	      (zip_tseitin0(X4, X5, X6, X7, X8, X9, X10)
5.01/5.22	       | 'const/sets/IN'(X5, X6, X10)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
5.01/5.22	tff('33', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['32', '27'])).
5.01/5.22	tff('34', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['33'])).
5.01/5.22	tff('35', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
5.01/5.22	      X12 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/HAS_SIZE'(X4, X9, X12)
5.01/5.22	       | 'const/sets/HAS_SIZE'(X5, X10, X12)
5.01/5.22	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_4])).
5.01/5.22	tff('36', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
5.01/5.22	    inference('sup-', [status(thm)], ['34', '35'])).
5.01/5.22	tff('37', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['36'])).
5.01/5.22	tff('38', plain,
5.01/5.22	    'const/sets/CARD'(sk_A, sk_A0) != 'const/sets/CARD'(sk_B, sk_A1),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.01/5.22	tff('39', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      ('const/sets/CARD'(sk_A, sk_A0) != X0
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
5.01/5.22	    inference('sup-', [status(thm)], ['30', '38'])).
5.01/5.22	tff('40', plain,
5.01/5.22	    ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, 'const/sets/CARD'(sk_A, sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['39'])).
5.01/5.22	tff('41', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
5.01/5.22	    inference('sup-', [status(thm)], ['30', '40'])).
5.01/5.22	tff('42', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	         sk_A0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
5.01/5.22	    inference('clc', [status(thm)], ['37', '41'])).
5.01/5.22	tff('43', plain,
5.01/5.22	    ![X0 : $tType, X1 : X0 > $o]:
5.01/5.22	      (~ $true
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['31', '42'])).
5.01/5.22	tff('44', plain,
5.01/5.22	    ![X0 : $tType, X1 : X0 > $o]:
5.01/5.22	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	         sk_A0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(X0, X1, 'const/sets/CARD'(sk_B, sk_A1))
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
5.01/5.22	    inference('simplify', [status(thm)], ['43'])).
5.01/5.22	tff('45', plain,
5.01/5.22	    (~ $true
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
5.01/5.22	     | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	         sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['6', '42'])).
5.01/5.22	tff('46', plain,
5.01/5.22	    ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	       sk_A0)
5.01/5.22	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
5.01/5.22	    inference('simplify', [status(thm)], ['45'])).
5.01/5.22	tff('47', plain,
5.01/5.22	    ('const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))
5.01/5.22	     | 'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	         sk_A0)),
5.01/5.22	    inference('clc', [status(thm)], ['44', '46'])).
5.01/5.22	tff('48', plain,
5.01/5.22	    ![X4 : $tType, X5 : $tType, X9 : X4 > $o, X10 : X5 > $o, 
5.01/5.22	      X12 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/HAS_SIZE'(X5, X10, X12)
5.01/5.22	       | 'const/sets/HAS_SIZE'(X4, X9, X12)
5.01/5.22	       | ~ zip_tseitin2(X4, X5, X12, X9, X10)),
5.01/5.22	    inference('cnf', [status(esa)], [zf_stmt_4])).
5.01/5.22	tff('49', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
5.01/5.22	    inference('sup-', [status(thm)], ['34', '48'])).
5.01/5.22	tff('50', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
5.01/5.22	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.22	       | 'const/sets/IN'(sk_A, 
5.01/5.22	           sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['49'])).
5.01/5.22	tff('51', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      ('const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	         sk_A0)
5.01/5.22	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
5.01/5.22	    inference('clc', [status(thm)], ['50', '41'])).
5.01/5.22	tff('52', plain,
5.01/5.22	    'const/sets/IN'(sk_A, sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), 
5.01/5.22	      sk_A0),
5.01/5.22	    inference('clc', [status(thm)], ['47', '51'])).
5.01/5.22	tff('53', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)
5.01/5.22	       | ~ 'const/sets/IN'(sk_B, 
5.01/5.22	             sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
5.01/5.22	       | ~ $true),
5.01/5.22	    inference('demod', [status(thm)], ['29', '52'])).
5.01/5.22	tff('54', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ 'const/sets/IN'(sk_B, 
5.01/5.22	           sk_A2(sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0)), sk_A1)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('simplify', [status(thm)], ['53'])).
5.01/5.22	tff('55', plain,
5.01/5.22	    ![X0 : 'type/nums/num']:
5.01/5.22	      (~ $true
5.01/5.22	       | ~ 'const/sets/IN'(sk_A, 
5.01/5.22	             sk_A4(sk_B, sk_A, sk_A3, sk_A2, sk_A1, sk_A0), sk_A0)
5.01/5.22	       | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.22	    inference('sup-', [status(thm)], ['7', '54'])).
5.01/5.23	tff('56', plain,
5.01/5.23	    ![X0 : 'type/nums/num']:
5.01/5.23	      (~ $true | ~ $true | zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0)),
5.01/5.23	    inference('demod', [status(thm)], ['55', '52'])).
5.01/5.23	tff('57', plain,
5.01/5.23	    ![X0 : 'type/nums/num']: zip_tseitin2(sk_B, sk_A, X0, sk_A1, sk_A0),
5.01/5.23	    inference('simplify', [status(thm)], ['56'])).
5.01/5.23	tff('58', plain,
5.01/5.23	    ![X0 : 'type/nums/num']:
5.01/5.23	      (~ $true
5.01/5.23	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
5.01/5.23	       | ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
5.01/5.23	    inference('sup-', [status(thm)], ['57', '35'])).
5.01/5.23	tff('59', plain,
5.01/5.23	    ![X0 : 'type/nums/num']:
5.01/5.23	      (~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.23	       | 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
5.01/5.23	    inference('simplify', [status(thm)], ['58'])).
5.01/5.23	tff('60', plain,
5.01/5.23	    ![X0 : 'type/nums/num']: ~ 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0),
5.01/5.23	    inference('clc', [status(thm)], ['59', '41'])).
5.01/5.23	tff('61', plain,
5.01/5.23	    (~ $true
5.01/5.23	     | 'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0))),
5.01/5.23	    inference('sup-', [status(thm)], ['6', '60'])).
5.01/5.23	tff('62', plain,
5.01/5.23	    'const/sets/HAS_SIZE'(sk_A, sk_A0, 'const/sets/CARD'(sk_A, sk_A0)),
5.01/5.23	    inference('simplify', [status(thm)], ['61'])).
5.01/5.23	tff('63', plain,
5.01/5.23	    ![X0 : 'type/nums/num']:
5.01/5.23	      (~ $true
5.01/5.23	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)
5.01/5.23	       | ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)),
5.01/5.23	    inference('sup-', [status(thm)], ['57', '48'])).
5.01/5.23	tff('64', plain,
5.01/5.23	    ![X0 : 'type/nums/num']:
5.01/5.23	      (~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0)
5.01/5.23	       | 'const/sets/HAS_SIZE'(sk_B, sk_A1, X0)),
5.01/5.23	    inference('simplify', [status(thm)], ['63'])).
5.01/5.23	tff('65', plain,
5.01/5.23	    ![X0 : 'type/nums/num']: ~ 'const/sets/HAS_SIZE'(sk_A, sk_A0, X0),
5.01/5.23	    inference('clc', [status(thm)], ['64', '60'])).
5.01/5.23	tff('66', plain, ~ $true, inference('sup-', [status(thm)], ['62', '65'])).
5.01/5.23	tff('67', plain, $false, inference('simplify', [status(thm)], ['66'])).
5.01/5.23	
5.01/5.23	% SZS output end Refutation
5.01/5.23	EOF
