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    : purification_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	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n171.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 17:14:41 CST 2018
0.00/0.21	% done 14 iterations in 0.009s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(cartprodsndin, conjecture,
0.00/0.21	  (cartprodmempair1 =>
0.00/0.21	   (ksndpairEq => (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (cartprodmempair1 =>
0.00/0.21	     (ksndpairEq => (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B))))))).
0.00/0.21	tff('0', plain, in(sk_Xu1, 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(ksndpairEq, axiom,
0.00/0.21	  (ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy)))).
0.00/0.21	tff('5', plain, ![X5, X6]: (ksnd(kpair(X6, X5)) = X5 | ~ ksndpairEq),
0.00/0.21	    inference('cnf', [status(esa)], [ksndpairEq])).
0.00/0.21	tff('6', plain, ksndpairEq, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('7', plain, ![X5, X6]: (ksnd(kpair(X6, X5)) = X5 | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.21	tff('8', plain, ![X5, X6]: ksnd(kpair(X6, X5)) = X5,
0.00/0.21	    inference('simplify', [status(thm)], ['7'])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (ksnd(X0) = sk_Xy(X0, X2, X1) | ~ in(X0, cartprod(X1, X2))),
0.00/0.21	    inference('sup+', [status(thm)], ['4', '8'])).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2))
0.00/0.21	       | in(sk_Xy(X0, X2, X1), X2)
0.00/0.21	       | ~ cartprodmempair1),
0.00/0.21	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, cartprod(X1, X2)) | in(sk_Xy(X0, X2, X1), X2) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['10', '2'])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X0, X1, X2]: (in(sk_Xy(X0, X2, X1), X2) | ~ in(X0, cartprod(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['11'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (in(ksnd(X0), X1)
0.00/0.21	       | ~ in(X0, cartprod(X2, X1))
0.00/0.21	       | ~ in(X0, cartprod(X2, X1))),
0.00/0.21	    inference('sup+', [status(thm)], ['9', '12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    ![X0, X1, X2]: (~ in(X0, cartprod(X2, X1)) | in(ksnd(X0), X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['13'])).
0.00/0.21	tff('15', plain, (~ $true | in(ksnd(sk_Xu1), sk_B1)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '14'])).
0.00/0.21	tff('16', plain, in(ksnd(sk_Xu1), sk_B1),
0.00/0.21	    inference('simplify', [status(thm)], ['15'])).
0.00/0.21	tff('17', plain, ~ in(ksnd(sk_Xu1), sk_B1),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('18', plain, ~ $true, inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.21	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
