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    : fo
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-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n063.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:42:38 CST 2018
0.00/0.25	% done 45 iterations in 0.043s
0.00/0.25	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff('thm/iterate/MONOIDAL_AC_', conjecture,
0.00/0.25	  (![A:$tType,A0:((A * A) > A)]:
0.00/0.25	     ('const/iterate/monoidal'(A,A0) =>
0.00/0.25	      ((![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A2,A0(A1,A3)))) & 
0.00/0.25	       (![A1:A,A2:A,A3:A]: (A0(A0(A1,A2),A3) = A0(A1,A0(A2,A3)))) & 
0.00/0.25	       (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))) & 
0.00/0.25	       (![A1:A]: (A0(A1,'const/iterate/neutral'(A,A0)) = A1)) & 
0.00/0.25	       (![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1)))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![A:$tType,A0:((A * A) > A)]:
0.00/0.25	       ('const/iterate/monoidal'(A,A0) =>
0.00/0.25	        ((![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A2,A0(A1,A3)))) & 
0.00/0.25	         (![A1:A,A2:A,A3:A]: (A0(A0(A1,A2),A3) = A0(A1,A0(A2,A3)))) & 
0.00/0.25	         (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))) & 
0.00/0.25	         (![A1:A]: (A0(A1,'const/iterate/neutral'(A,A0)) = A1)) & 
0.00/0.25	         (![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1))))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    (sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.25	      != sk_A0(sk_A22, sk_A0(sk_A13, sk_A31))
0.00/0.25	     | sk_A0(sk_A0(sk_A14, sk_A23), sk_A32)
0.00/0.25	        != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.25	     | sk_A0(sk_A15, sk_A24) != sk_A0(sk_A24, sk_A15)
0.00/0.25	     | sk_A0(sk_A16, 'const/iterate/neutral'(sk_A, sk_A0)) != sk_A16
0.00/0.25	     | sk_A0('const/iterate/neutral'(sk_A, sk_A0), sk_A17) != sk_A17),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('1', plain, 'const/iterate/monoidal'(sk_A, sk_A0),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('thm/iterate/monoidal_', axiom,
0.00/0.25	  (![A:$tType,A0:((A * A) > A)]:
0.00/0.25	     ('const/iterate/monoidal'(A,A0) <=>
0.00/0.25	      ((![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1)) & 
0.00/0.25	       (![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A0(A1,A2),A3))) & 
0.00/0.25	       (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))))))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X2 : $tType, X4 : (X2 * X2) > X2, X8 : X2, X9 : X2]:
0.00/0.25	      (X4(X9, X8) = X4(X8, X9) | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.25	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A]: (~ $true | sk_A0(X1, X0) = sk_A0(X0, X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.25	tff('4', plain, ![X0 : sk_A, X1 : sk_A]: sk_A0(X1, X0) = sk_A0(X0, X1),
0.00/0.25	    inference('simplify', [status(thm)], ['3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X2 : $tType, X4 : (X2 * X2) > X2, X5 : X2, X6 : X2, X7 : X2]:
0.00/0.25	      (X4(X5, X4(X6, X7)) = X4(X4(X5, X6), X7)
0.00/0.25	       | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.25	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.25	      (~ $true | sk_A0(X2, sk_A0(X1, X0)) = sk_A0(sk_A0(X2, X1), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.25	      sk_A0(X2, sk_A0(X1, X0)) = sk_A0(sk_A0(X2, X1), X0),
0.00/0.25	    inference('simplify', [status(thm)], ['6'])).
0.00/0.25	tff('8', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.25	      sk_A0(X0, sk_A0(X1, X2)) = sk_A0(sk_A0(X1, X0), X2),
0.00/0.25	    inference('sup+', [status(thm)], ['4', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    ![X2 : $tType, X3 : X2, X4 : (X2 * X2) > X2]:
0.00/0.25	      (X4('const/iterate/neutral'(X2, X4), X3) = X3
0.00/0.25	       | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.25	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.25	tff('10', plain,
0.00/0.25	    ![X0 : sk_A]:
0.00/0.25	      (X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0))
0.00/0.25	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.25	    inference('sup+', [status(thm)], ['9', '4'])).
0.00/0.25	tff('11', plain,
0.00/0.25	    ![X0 : sk_A]:
0.00/0.25	      (X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0)) | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['10', '1'])).
0.00/0.25	tff('12', plain,
0.00/0.25	    ![X0 : sk_A]: X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0)),
0.00/0.25	    inference('simplify', [status(thm)], ['11'])).
0.00/0.25	tff('13', plain,
0.00/0.25	    ![X0 : sk_A]: X0 = sk_A0('const/iterate/neutral'(sk_A, sk_A0), X0),
0.00/0.25	    inference('sup+', [status(thm)], ['12', '4'])).
0.00/0.25	tff('14', plain,
0.00/0.25	    (sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.25	      != sk_A0(sk_A22, sk_A0(sk_A13, sk_A31))
0.00/0.25	     | sk_A0(sk_A23, sk_A0(sk_A14, sk_A32))
0.00/0.25	        != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.25	     | sk_A0(sk_A15, sk_A24) != sk_A0(sk_A15, sk_A24)
0.00/0.25	     | sk_A16 != sk_A16
0.00/0.25	     | sk_A17 != sk_A17),
0.00/0.25	    inference('demod', [status(thm)], ['0', '8', '4', '12', '13'])).
0.00/0.25	tff('15', plain,
0.00/0.25	    (sk_A0(sk_A23, sk_A0(sk_A14, sk_A32))
0.00/0.25	      != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.25	     | sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.25	        != sk_A0(sk_A22, sk_A0(sk_A13, sk_A31))),
0.00/0.25	    inference('simplify', [status(thm)], ['14'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.25	      sk_A0(X2, sk_A0(X1, X0)) = sk_A0(X0, sk_A0(X2, X1)),
0.00/0.25	    inference('sup+', [status(thm)], ['7', '4'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.25	      sk_A0(X2, sk_A0(X1, X0)) = sk_A0(X1, sk_A0(X2, X0)),
0.00/0.25	    inference('sup+', [status(thm)], ['4', '16'])).
0.00/0.25	tff('18', plain,
0.00/0.25	    (sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.25	      != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.25	     | sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.25	        != sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))),
0.00/0.25	    inference('demod', [status(thm)], ['15', '17', '17'])).
0.00/0.25	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
