0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
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 int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
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   : n138.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 05:48:23 CST 2018
5.68/5.87	% done 1528 iterations in 5.674s
5.68/5.87	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
5.68/5.87	% SZS output start Refutation
5.68/5.87	tff(satz9b, conjecture,
5.68/5.87	  (~
5.68/5.87	    (((x = y) => (![Xx_0:nat]: (x != pl(y,Xx_0)))) =>
5.68/5.87	     (((~(![Xx_0:nat]: (x != pl(y,Xx_0)))) =>
5.68/5.87	       (![Xx_0:nat]: (y != pl(x,Xx_0)))) =>
5.68/5.87	      (~((~(![Xx_0:nat]: (y != pl(x,Xx_0)))) => (x != y))))))).
5.68/5.87	tff(zf_stmt_0, negated_conjecture,
5.68/5.87	  (((x = y) => (![Xx_0:nat]: (x != pl(y,Xx_0)))) =>
5.68/5.87	   (((~(![Xx_0:nat]: (x != pl(y,Xx_0)))) => (![Xx_0:nat]: (y != pl(x,Xx_0)))) =>
5.68/5.87	    (~((~(![Xx_0:nat]: (y != pl(x,Xx_0)))) => (x != y)))))).
5.68/5.87	tff('0', plain,
5.68/5.87	    (y = pl(x, sk_Xx_0) | y = pl(x, sk_Xx_02) | x = pl(y, sk_Xx_03)),
5.68/5.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.68/5.87	tff(satz5, axiom,
5.68/5.87	  (![Xx:nat,Xy:nat,Xz:nat]: (pl(pl(Xx,Xy),Xz) = pl(Xx,pl(Xy,Xz))))).
5.68/5.87	tff('1', plain,
5.68/5.87	    ![X5 : nat, X6 : nat, X7 : nat]: pl(pl(X5, X6), X7) = pl(X5, pl(X6, X7)),
5.68/5.87	    inference('cnf', [status(esa)], [satz5])).
5.68/5.87	tff('2', plain,
5.68/5.87	    ![X0 : nat]:
5.68/5.87	      (pl(x, X0) = pl(y, pl(sk_Xx_03, X0))
5.68/5.87	       | y = pl(x, sk_Xx_02)
5.68/5.87	       | y = pl(x, sk_Xx_0)),
5.68/5.87	    inference('sup+', [status(thm)], ['0', '1'])).
5.68/5.87	tff('3', plain, (x = pl(y, sk_Xx_01) | x = y | x = y),
5.68/5.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.68/5.87	tff('4', plain, (x = y | x = pl(y, sk_Xx_01)),
5.68/5.87	    inference('simplify', [status(thm)], ['3'])).
5.68/5.87	tff(satz6, axiom, (![Xx:nat,Xy:nat]: (pl(Xx,Xy) = pl(Xy,Xx)))).
5.68/5.87	tff('5', plain, ![X2 : nat, X3 : nat]: pl(X3, X2) = pl(X2, X3),
5.68/5.87	    inference('cnf', [status(esa)], [satz6])).
5.68/5.87	tff('6', plain, (y = pl(x, sk_Xx_0) | x = y | x = y),
5.68/5.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.68/5.87	tff('7', plain, (x = y | y = pl(x, sk_Xx_0)),
5.68/5.87	    inference('simplify', [status(thm)], ['6'])).
5.68/5.87	tff('8', plain,
5.68/5.87	    ![X0 : nat, X1 : nat, X2 : nat]: pl(X0, pl(X2, X1)) = pl(X2, pl(X1, X0)),
5.68/5.87	    inference('sup+', [status(thm)], ['1', '5'])).
5.68/5.87	tff('9', plain,
5.68/5.87	    ![X0 : nat, X1 : nat, X2 : nat]: pl(pl(X0, X2), X1) = pl(X2, pl(X1, X0)),
5.68/5.87	    inference('sup+', [status(thm)], ['8', '5'])).
5.68/5.87	tff(satz7, axiom, (![Xx:nat,Xy:nat]: (Xy != pl(Xx,Xy)))).
5.68/5.87	tff('10', plain, ![X0 : nat, X1 : nat]: X1 != pl(X0, X1),
5.68/5.87	    inference('cnf', [status(esa)], [satz7])).
5.68/5.87	tff('11', plain, ![X0 : nat, X1 : nat, X2 : nat]: X1 != pl(X2, pl(X1, X0)),
5.68/5.87	    inference('sup-', [status(thm)], ['9', '10'])).
5.68/5.87	tff('12', plain, ![X0 : nat]: (x != pl(X0, y) | x = y),
5.68/5.87	    inference('sup-', [status(thm)], ['7', '11'])).
5.68/5.87	tff('13', plain, ![X0 : nat]: (x != pl(y, X0) | x = y),
5.68/5.87	    inference('sup-', [status(thm)], ['5', '12'])).
5.68/5.87	tff('14', plain, (x != x | x = y | x = y),
5.68/5.87	    inference('sup-', [status(thm)], ['4', '13'])).
5.68/5.87	tff('15', plain, x = y, inference('simplify', [status(thm)], ['14'])).
5.68/5.87	tff('16', plain,
5.68/5.87	    ![X0 : nat]:
5.68/5.87	      (pl(x, X0) = pl(x, pl(sk_Xx_03, X0))
5.68/5.87	       | x = pl(x, sk_Xx_02)
5.68/5.87	       | x = pl(x, sk_Xx_0)),
5.68/5.87	    inference('demod', [status(thm)], ['2', '15', '15', '15'])).
5.68/5.87	tff('17', plain,
5.68/5.87	    ![X0 : nat, X1 : nat, X2 : nat]: pl(X1, pl(X2, X0)) = pl(X2, pl(X1, X0)),
5.68/5.87	    inference('sup+', [status(thm)], ['5', '8'])).
5.68/5.87	tff('18', plain,
5.68/5.87	    ![X0 : nat, X1 : nat, X2 : nat]: pl(X2, X0) != pl(X2, pl(X1, X0)),
5.68/5.87	    inference('sup-', [status(thm)], ['17', '10'])).
5.68/5.87	tff('19', plain, (x = pl(x, sk_Xx_0) | x = pl(x, sk_Xx_02)),
5.68/5.87	    inference('clc', [status(thm)], ['16', '18'])).
5.68/5.87	tff('20', plain, ![X0 : nat, X1 : nat]: X1 != pl(X1, X0),
5.68/5.87	    inference('sup-', [status(thm)], ['5', '10'])).
5.68/5.87	tff('21', plain, x = pl(x, sk_Xx_02),
5.68/5.87	    inference('clc', [status(thm)], ['19', '20'])).
5.68/5.87	tff('22', plain, x != x, inference('sup-', [status(thm)], ['21', '20'])).
5.68/5.87	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
5.68/5.87	
5.68/5.87	% SZS output end Refutation
5.68/5.88	EOF
