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   : n160.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 17:14:40 CST 2018
0.00/0.21	% done 14 iterations in 0.006s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(cartprodpairmemEL, conjecture,
0.00/0.21	  (cartprodmempair1 =>
0.00/0.21	   (setukpairinjL =>
0.00/0.21	    (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (cartprodmempair1 =>
0.00/0.21	     (setukpairinjL =>
0.00/0.21	      (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A))))))).
0.00/0.21	tff('0', plain, in(kpair(sk_Xx2, sk_Xy2), cartprod(sk_A1, sk_B1)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(cartprodmempair1, axiom,
0.00/0.21	  (cartprodmempair1 <=>
0.00/0.21	   (![A,B,Xu]:
0.00/0.21	      (in(Xu,cartprod(A,B)) =>
0.00/0.21	       (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A))))))).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2))
0.00/0.21	       | X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.21	       | ~ cartprodmempair1),
0.00/0.21	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.21	tff('2', plain, cartprodmempair1,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2))
0.00/0.21	       | X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.21	       | ~ in(X0, cartprod(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['3'])).
0.00/0.21	tff(setukpairinjL, axiom,
0.00/0.21	  (setukpairinjL <=>
0.00/0.21	   (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz))))).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X5, X6, X7, X8]:
0.00/0.21	      (kpair(X7, X8) != kpair(X5, X6) | X7 = X5 | ~ setukpairinjL),
0.00/0.21	    inference('cnf', [status(esa)], [setukpairinjL])).
0.00/0.21	tff('6', plain, setukpairinjL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X5, X6, X7, X8]: (kpair(X7, X8) != kpair(X5, X6) | X7 = X5 | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X5, X6, X7, X8]: (X7 = X5 | kpair(X7, X8) != kpair(X5, X6)),
0.00/0.21	    inference('simplify', [status(thm)], ['7'])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0, X1, X2, X3, X4]:
0.00/0.21	      (kpair(X4, X3) != X0
0.00/0.21	       | ~ in(X0, cartprod(X1, X2))
0.00/0.21	       | X4 = sk_Xx(X0, X2, X1)),
0.00/0.21	    inference('sup-', [status(thm)], ['4', '8'])).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X1, X2, X3, X4]:
0.00/0.21	      (X4 = sk_Xx(kpair(X4, X3), X2, X1)
0.00/0.21	       | ~ in(kpair(X4, X3), cartprod(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['9'])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2))
0.00/0.21	       | in(sk_Xx(X0, X2, X1), X1)
0.00/0.21	       | ~ cartprodmempair1),
0.00/0.21	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2)) | in(sk_Xx(X0, X2, X1), X1) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['11', '2'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X0, X1, X2]: (in(sk_Xx(X0, X2, X1), X1) | ~ in(X0, cartprod(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    ![X0, X1, X2, X3]:
0.00/0.21	      (in(X0, X1)
0.00/0.21	       | ~ in(kpair(X0, X3), cartprod(X1, X2))
0.00/0.21	       | ~ in(kpair(X0, X3), cartprod(X1, X2))),
0.00/0.21	    inference('sup+', [status(thm)], ['10', '13'])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ![X0, X1, X2, X3]: (~ in(kpair(X0, X3), cartprod(X1, X2)) | in(X0, X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['14'])).
0.00/0.21	tff('16', plain, (~ $true | in(sk_Xx2, sk_A1)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.21	tff('17', plain, in(sk_Xx2, sk_A1),
0.00/0.21	    inference('simplify', [status(thm)], ['16'])).
0.00/0.21	tff('18', plain, ~ in(sk_Xx2, sk_A1),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('19', plain, ~ $true, inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.21	tff('20', plain, $false, inference('simplify', [status(thm)], ['19'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
