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    : kbo
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
0.00/0.20	% Computer   : n103.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 17:15:24 CST 2018
0.00/0.23	% done 68 iterations in 0.028s
0.00/0.23	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(cartprodpairsurjEq, conjecture,
0.00/0.23	  (cartprodmempair1 =>
0.00/0.23	   (cartprodfstpairEq =>
0.00/0.23	    (cartprodsndpairEq =>
0.00/0.23	     (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (cartprodmempair1 =>
0.00/0.23	     (cartprodfstpairEq =>
0.00/0.23	      (cartprodsndpairEq =>
0.00/0.23	       (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))))))).
0.00/0.23	tff('0', plain, in(sk_Xu1, cartprod(sk_A3, sk_B3)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(cartprodmempair1, axiom,
0.00/0.23	  (cartprodmempair1 <=>
0.00/0.23	   (![A,B,Xu]:
0.00/0.23	      (in(Xu,cartprod(A,B)) =>
0.00/0.23	       (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A))))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2))
0.00/0.23	       | X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ cartprodmempair1),
0.00/0.23	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.23	tff('2', plain, cartprodmempair1,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2))
0.00/0.23	       | X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (X0 = kpair(sk_Xx(X0, X2, X1), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ in(X0, cartprod(X1, X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['3'])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2))
0.00/0.23	       | in(sk_Xx(X0, X2, X1), X1)
0.00/0.23	       | ~ cartprodmempair1),
0.00/0.23	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2)) | in(sk_Xx(X0, X2, X1), X1) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['5', '2'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X0, X1, X2]: (in(sk_Xx(X0, X2, X1), X1) | ~ in(X0, cartprod(X1, X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2))
0.00/0.23	       | in(sk_Xy(X0, X2, X1), X2)
0.00/0.23	       | ~ cartprodmempair1),
0.00/0.23	    inference('cnf', [status(esa)], [cartprodmempair1])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2)) | in(sk_Xy(X0, X2, X1), X2) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['8', '2'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X0, X1, X2]: (in(sk_Xy(X0, X2, X1), X2) | ~ in(X0, cartprod(X1, X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff(cartprodfstpairEq, axiom,
0.00/0.23	  (cartprodfstpairEq <=>
0.00/0.23	   (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx))))))).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (~ in(X5, X6)
0.00/0.23	       | kfst(kpair(X5, X7)) = X5
0.00/0.23	       | ~ in(X7, X8)
0.00/0.23	       | ~ cartprodfstpairEq),
0.00/0.23	    inference('cnf', [status(esa)], [cartprodfstpairEq])).
0.00/0.23	tff('12', plain, cartprodfstpairEq,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (~ in(X5, X6) | kfst(kpair(X5, X7)) = X5 | ~ in(X7, X8) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (~ in(X7, X8) | kfst(kpair(X5, X7)) = X5 | ~ in(X5, X6)),
0.00/0.23	    inference('simplify', [status(thm)], ['13'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))
0.00/0.23	       | ~ in(X4, X3)
0.00/0.23	       | kfst(kpair(X4, sk_Xy(X2, X0, X1))) = X4),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4]:
0.00/0.23	      (kfst(kpair(X4, sk_Xy(X2, X0, X1))) = X4
0.00/0.23	       | ~ in(X4, X3)
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X2, cartprod(X0, X1))
0.00/0.23	       | ~ in(X5, cartprod(X4, X3))
0.00/0.23	       | kfst(kpair(sk_Xx(X2, X1, X0), sk_Xy(X5, X3, X4)))
0.00/0.23	          = sk_Xx(X2, X1, X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.23	      (kfst(kpair(sk_Xx(X2, X1, X0), sk_Xy(X5, X3, X4))) = sk_Xx(X2, X1, X0)
0.00/0.23	       | ~ in(X5, cartprod(X4, X3))
0.00/0.23	       | ~ in(X2, cartprod(X0, X1))),
0.00/0.23	    inference('simplify', [status(thm)], ['17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (kfst(X0) = sk_Xx(X0, X2, X1)
0.00/0.23	       | ~ in(X0, cartprod(X1, X2))
0.00/0.23	       | ~ in(X0, cartprod(X1, X2))
0.00/0.23	       | ~ in(X0, cartprod(X1, X2))),
0.00/0.23	    inference('sup+', [status(thm)], ['4', '18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ in(X0, cartprod(X1, X2)) | kfst(X0) = sk_Xx(X0, X2, X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['19'])).
0.00/0.23	tff('21', plain, (~ $true | kfst(sk_Xu1) = sk_Xx(sk_Xu1, sk_B3, sk_A3)),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '20'])).
0.00/0.23	tff('22', plain, kfst(sk_Xu1) = sk_Xx(sk_Xu1, sk_B3, sk_A3),
0.00/0.23	    inference('simplify', [status(thm)], ['21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    (sk_Xu1 = kpair(kfst(sk_Xu1), sk_Xy(sk_Xu1, sk_B3, sk_A3))
0.00/0.23	     | ~ in(sk_Xu1, cartprod(sk_A3, sk_B3))),
0.00/0.23	    inference('sup+', [status(thm)], ['22', '4'])).
0.00/0.23	tff('24', plain,
0.00/0.23	    (sk_Xu1 = kpair(kfst(sk_Xu1), sk_Xy(sk_Xu1, sk_B3, sk_A3)) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['23', '0'])).
0.00/0.23	tff('25', plain, sk_Xu1 = kpair(kfst(sk_Xu1), sk_Xy(sk_Xu1, sk_B3, sk_A3)),
0.00/0.23	    inference('simplify', [status(thm)], ['24'])).
0.00/0.23	tff('26', plain,
0.00/0.23	    (in(kfst(sk_Xu1), sk_A3) | ~ in(sk_Xu1, cartprod(sk_A3, sk_B3))),
0.00/0.23	    inference('sup+', [status(thm)], ['22', '7'])).
0.00/0.23	tff('27', plain, (in(kfst(sk_Xu1), sk_A3) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['26', '0'])).
0.00/0.23	tff('28', plain, in(kfst(sk_Xu1), sk_A3),
0.00/0.23	    inference('simplify', [status(thm)], ['27'])).
0.00/0.23	tff(cartprodsndpairEq, axiom,
0.00/0.23	  (cartprodsndpairEq <=>
0.00/0.23	   (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy))))))).
0.00/0.23	tff('29', plain,
0.00/0.23	    ![X9, X10, X11, X12]:
0.00/0.23	      (~ in(X9, X10)
0.00/0.23	       | ksnd(kpair(X9, X11)) = X11
0.00/0.23	       | ~ in(X11, X12)
0.00/0.23	       | ~ cartprodsndpairEq),
0.00/0.23	    inference('cnf', [status(esa)], [cartprodsndpairEq])).
0.00/0.23	tff('30', plain, cartprodsndpairEq,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('31', plain,
0.00/0.23	    ![X9, X10, X11, X12]:
0.00/0.23	      (~ in(X9, X10) | ksnd(kpair(X9, X11)) = X11 | ~ in(X11, X12) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['29', '30'])).
0.00/0.23	tff('32', plain,
0.00/0.23	    ![X9, X10, X11, X12]:
0.00/0.23	      (~ in(X11, X12) | ksnd(kpair(X9, X11)) = X11 | ~ in(X9, X10)),
0.00/0.23	    inference('simplify', [status(thm)], ['31'])).
0.00/0.23	tff('33', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))
0.00/0.23	       | ~ in(X4, X3)
0.00/0.23	       | ksnd(kpair(X4, sk_Xy(X2, X0, X1))) = sk_Xy(X2, X0, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '32'])).
0.00/0.23	tff('34', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4]:
0.00/0.23	      (ksnd(kpair(X4, sk_Xy(X2, X0, X1))) = sk_Xy(X2, X0, X1)
0.00/0.23	       | ~ in(X4, X3)
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['33'])).
0.00/0.23	tff('35', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))
0.00/0.23	       | ksnd(kpair(kfst(sk_Xu1), sk_Xy(X2, X0, X1))) = sk_Xy(X2, X0, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['28', '34'])).
0.00/0.23	tff('36', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (ksnd(kpair(kfst(sk_Xu1), sk_Xy(X2, X0, X1))) = sk_Xy(X2, X0, X1)
0.00/0.23	       | ~ in(X2, cartprod(X1, X0))),
0.00/0.23	    inference('simplify', [status(thm)], ['35'])).
0.00/0.23	tff('37', plain,
0.00/0.23	    (ksnd(sk_Xu1) = sk_Xy(sk_Xu1, sk_B3, sk_A3)
0.00/0.23	     | ~ in(sk_Xu1, cartprod(sk_A3, sk_B3))),
0.00/0.23	    inference('sup+', [status(thm)], ['25', '36'])).
0.00/0.23	tff('38', plain, (ksnd(sk_Xu1) = sk_Xy(sk_Xu1, sk_B3, sk_A3) | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['37', '0'])).
0.00/0.23	tff('39', plain, ksnd(sk_Xu1) = sk_Xy(sk_Xu1, sk_B3, sk_A3),
0.00/0.23	    inference('simplify', [status(thm)], ['38'])).
0.00/0.23	tff('40', plain, sk_Xu1 = kpair(kfst(sk_Xu1), ksnd(sk_Xu1)),
0.00/0.23	    inference('demod', [status(thm)], ['25', '39'])).
0.00/0.23	tff('41', plain, kpair(kfst(sk_Xu1), ksnd(sk_Xu1)) != sk_Xu1,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('42', plain, $false,
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['40', '41'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
