0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n036.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:42:24 CST 2018
0.00/0.31	% done 51 iterations in 0.112s
0.00/0.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.31	% SZS output start Refutation
0.00/0.31	tff('thm/iterate/MONOIDAL_AC_', conjecture,
0.00/0.31	  (![A:$tType,A0:((A * A) > A)]:
0.00/0.31	     ('const/iterate/monoidal'(A,A0) =>
0.00/0.31	      ((![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A2,A0(A1,A3)))) & 
0.00/0.31	       (![A1:A,A2:A,A3:A]: (A0(A0(A1,A2),A3) = A0(A1,A0(A2,A3)))) & 
0.00/0.31	       (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))) & 
0.00/0.31	       (![A1:A]: (A0(A1,'const/iterate/neutral'(A,A0)) = A1)) & 
0.00/0.31	       (![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1)))))).
0.00/0.31	tff(zf_stmt_0, negated_conjecture,
0.00/0.31	  (~
0.00/0.31	    (![A:$tType,A0:((A * A) > A)]:
0.00/0.31	       ('const/iterate/monoidal'(A,A0) =>
0.00/0.31	        ((![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A2,A0(A1,A3)))) & 
0.00/0.31	         (![A1:A,A2:A,A3:A]: (A0(A0(A1,A2),A3) = A0(A1,A0(A2,A3)))) & 
0.00/0.31	         (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))) & 
0.00/0.31	         (![A1:A]: (A0(A1,'const/iterate/neutral'(A,A0)) = A1)) & 
0.00/0.31	         (![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1))))))).
0.00/0.31	tff('0', plain,
0.00/0.31	    (sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.31	      != sk_A0(sk_A22, sk_A0(sk_A13, sk_A31))
0.00/0.31	     | sk_A0(sk_A0(sk_A14, sk_A23), sk_A32)
0.00/0.31	        != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.31	     | sk_A0(sk_A15, sk_A24) != sk_A0(sk_A24, sk_A15)
0.00/0.31	     | sk_A0(sk_A16, 'const/iterate/neutral'(sk_A, sk_A0)) != sk_A16
0.00/0.31	     | sk_A0('const/iterate/neutral'(sk_A, sk_A0), sk_A17) != sk_A17),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('thm/iterate/monoidal_', axiom,
0.00/0.31	  (![A:$tType,A0:((A * A) > A)]:
0.00/0.31	     ('const/iterate/monoidal'(A,A0) <=>
0.00/0.31	      ((![A1:A]: (A0('const/iterate/neutral'(A,A0),A1) = A1)) & 
0.00/0.31	       (![A1:A,A2:A,A3:A]: (A0(A1,A0(A2,A3)) = A0(A0(A1,A2),A3))) & 
0.00/0.31	       (![A1:A,A2:A]: (A0(A1,A2) = A0(A2,A1))))))).
0.00/0.31	tff('1', plain,
0.00/0.31	    ![X2 : $tType, X4 : (X2 * X2) > X2, X8 : X2, X9 : X2]:
0.00/0.31	      (X4(X9, X8) = X4(X8, X9) | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.31	tff('2', plain, 'const/iterate/monoidal'(sk_A, sk_A0),
0.00/0.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.31	tff('3', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A]: (~ $true | sk_A0(X1, X0) = sk_A0(X0, X1)),
0.00/0.31	    inference('sup-', [status(thm)], ['2', '1'])).
0.00/0.31	tff('4', plain, ![X0 : sk_A, X1 : sk_A]: sk_A0(X1, X0) = sk_A0(X0, X1),
0.00/0.31	    inference('simplify', [status(thm)], ['3'])).
0.00/0.31	tff('5', plain,
0.00/0.31	    ![X2 : $tType, X4 : (X2 * X2) > X2, X5 : X2, X6 : X2, X7 : X2]:
0.00/0.31	      (X4(X5, X4(X6, X7)) = X4(X4(X5, X6), X7)
0.00/0.31	       | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.31	tff('6', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X1, sk_A0(X0, X2)) = sk_A0(X2, sk_A0(X1, X0))
0.00/0.31	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['4', '5'])).
0.00/0.31	tff('7', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X1, sk_A0(X0, X2)) = sk_A0(X2, sk_A0(X1, X0)) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['6', '2'])).
0.00/0.31	tff('8', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      sk_A0(X1, sk_A0(X0, X2)) = sk_A0(X2, sk_A0(X1, X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['7'])).
0.00/0.31	tff('9', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X2, sk_A0(X1, X0)) = sk_A0(X1, sk_A0(X2, X0))
0.00/0.31	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['1', '8'])).
0.00/0.31	tff('10', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X2, sk_A0(X1, X0)) = sk_A0(X1, sk_A0(X2, X0)) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['9', '2'])).
0.00/0.31	tff('11', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      sk_A0(X2, sk_A0(X1, X0)) = sk_A0(X1, sk_A0(X2, X0)),
0.00/0.31	    inference('simplify', [status(thm)], ['10'])).
0.00/0.31	tff('12', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X0, sk_A0(X1, X2)) = sk_A0(sk_A0(X1, X0), X2)
0.00/0.31	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['4', '5'])).
0.00/0.31	tff('13', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      (sk_A0(X0, sk_A0(X1, X2)) = sk_A0(sk_A0(X1, X0), X2) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['12', '2'])).
0.00/0.31	tff('14', plain,
0.00/0.31	    ![X0 : sk_A, X1 : sk_A, X2 : sk_A]:
0.00/0.31	      sk_A0(X0, sk_A0(X1, X2)) = sk_A0(sk_A0(X1, X0), X2),
0.00/0.31	    inference('simplify', [status(thm)], ['13'])).
0.00/0.31	tff('15', plain,
0.00/0.31	    ![X2 : $tType, X3 : X2, X4 : (X2 * X2) > X2]:
0.00/0.31	      (X4('const/iterate/neutral'(X2, X4), X3) = X3
0.00/0.31	       | ~ 'const/iterate/monoidal'(X2, X4)),
0.00/0.31	    inference('cnf', [status(esa)], [thm/iterate/monoidal_])).
0.00/0.31	tff('16', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0))
0.00/0.31	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['15', '4'])).
0.00/0.31	tff('17', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0)) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['16', '2'])).
0.00/0.31	tff('18', plain,
0.00/0.31	    ![X0 : sk_A]: X0 = sk_A0(X0, 'const/iterate/neutral'(sk_A, sk_A0)),
0.00/0.31	    inference('simplify', [status(thm)], ['17'])).
0.00/0.31	tff('19', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0 = sk_A0('const/iterate/neutral'(sk_A, sk_A0), X0)
0.00/0.31	       | ~ 'const/iterate/monoidal'(sk_A, sk_A0)),
0.00/0.31	    inference('sup+', [status(thm)], ['1', '18'])).
0.00/0.31	tff('20', plain,
0.00/0.31	    ![X0 : sk_A]:
0.00/0.31	      (X0 = sk_A0('const/iterate/neutral'(sk_A, sk_A0), X0) | ~ $true),
0.00/0.31	    inference('demod', [status(thm)], ['19', '2'])).
0.00/0.31	tff('21', plain,
0.00/0.31	    ![X0 : sk_A]: X0 = sk_A0('const/iterate/neutral'(sk_A, sk_A0), X0),
0.00/0.31	    inference('simplify', [status(thm)], ['20'])).
0.00/0.31	tff('22', plain,
0.00/0.31	    (sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.31	      != sk_A0(sk_A13, sk_A0(sk_A22, sk_A31))
0.00/0.31	     | sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.31	        != sk_A0(sk_A14, sk_A0(sk_A23, sk_A32))
0.00/0.31	     | sk_A0(sk_A15, sk_A24) != sk_A0(sk_A15, sk_A24)
0.00/0.31	     | sk_A16 != sk_A16
0.00/0.31	     | sk_A17 != sk_A17),
0.00/0.31	    inference('demod', [status(thm)],
0.00/0.31	              ['0', '11', '14', '11', '4', '18', '21'])).
0.00/0.31	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
0.00/0.31	
0.00/0.31	% SZS output end Refutation
0.00/0.31	EOF
