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_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
0.00/0.20	% Computer   : n048.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 06:44:23 CST 2018
0.00/0.21	% done 20 iterations in 0.008s
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(k, axiom, ((~lessf(y,z)) => eq(y,z))).
0.00/0.21	tff('0', plain, (eq(y, z) | lessf(y, z)),
0.00/0.21	    inference('cnf', [status(esa)], [k])).
0.00/0.21	tff(l, axiom, ((~lessf(x,y)) => eq(x,y))).
0.00/0.21	tff('1', plain, (eq(x, y) | lessf(x, y)),
0.00/0.21	    inference('cnf', [status(esa)], [l])).
0.00/0.21	tff(satz39, axiom,
0.00/0.21	  (![Xx:frac,Xy:frac,Xz:frac]: (eq(Xx,Xy) => (eq(Xy,Xz) => eq(Xx,Xz))))).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X1 : frac, X2 : frac, X3 : frac]:
0.00/0.21	      (~ eq(X1, X2) | eq(X1, X3) | ~ eq(X2, X3)),
0.00/0.21	    inference('cnf', [status(esa)], [satz39])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X0 : frac]: (~ $true | lessf(x, y) | ~ eq(y, X0) | eq(x, X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.21	tff('4', plain, ![X0 : frac]: (eq(x, X0) | ~ eq(y, X0) | lessf(x, y)),
0.00/0.21	    inference('simplify', [status(thm)], ['3'])).
0.00/0.21	tff('5', plain, (~ $true | lessf(y, z) | lessf(x, y) | eq(x, z)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.21	tff('6', plain, (eq(x, z) | lessf(x, y) | lessf(y, z)),
0.00/0.21	    inference('simplify', [status(thm)], ['5'])).
0.00/0.21	tff(satz52, conjecture, ((~lessf(x,z)) => eq(x,z))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture, (~((~lessf(x,z)) => eq(x,z)))).
0.00/0.21	tff('7', plain, ~ eq(x, z), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('8', plain, (lessf(y, z) | lessf(x, y)),
0.00/0.21	    inference('clc', [status(thm)], ['6', '7'])).
0.00/0.21	tff(satz51a, axiom,
0.00/0.21	  (![Xx:frac,Xy:frac,Xz:frac]:
0.00/0.21	     (((~lessf(Xx,Xy)) => eq(Xx,Xy)) => (lessf(Xy,Xz) => lessf(Xx,Xz))))).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X7 : frac, X8 : frac, X9 : frac]:
0.00/0.21	      (~ eq(X7, X8) | lessf(X7, X9) | ~ lessf(X8, X9)),
0.00/0.21	    inference('cnf', [status(esa)], [satz51a])).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X0 : frac]: (~ $true | lessf(x, y) | ~ lessf(y, X0) | lessf(x, X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['1', '9'])).
0.00/0.21	tff('11', plain, ![X0 : frac]: (lessf(x, X0) | ~ lessf(y, X0) | lessf(x, y)),
0.00/0.21	    inference('simplify', [status(thm)], ['10'])).
0.00/0.21	tff(satz51b, axiom,
0.00/0.21	  (![Xx:frac,Xy:frac,Xz:frac]:
0.00/0.21	     (lessf(Xx,Xy) => (((~lessf(Xy,Xz)) => eq(Xy,Xz)) => lessf(Xx,Xz))))).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X4 : frac, X5 : frac, X6 : frac]:
0.00/0.21	      (~ lessf(X4, X5) | lessf(X4, X6) | ~ lessf(X5, X6)),
0.00/0.21	    inference('cnf', [status(esa)], [satz51b])).
0.00/0.21	tff('13', plain, ![X0 : frac]: (~ lessf(y, X0) | lessf(x, X0)),
0.00/0.21	    inference('clc', [status(thm)], ['11', '12'])).
0.00/0.21	tff('14', plain, (~ $true | lessf(x, y) | lessf(x, z)),
0.00/0.21	    inference('sup-', [status(thm)], ['8', '13'])).
0.00/0.21	tff('15', plain, (lessf(x, z) | lessf(x, y)),
0.00/0.21	    inference('simplify', [status(thm)], ['14'])).
0.00/0.21	tff('16', plain, ~ lessf(x, z), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('17', plain, lessf(x, y), inference('clc', [status(thm)], ['15', '16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    ![X4 : frac, X5 : frac, X6 : frac]:
0.00/0.21	      (~ lessf(X4, X5) | lessf(X4, X6) | ~ eq(X5, X6)),
0.00/0.21	    inference('cnf', [status(esa)], [satz51b])).
0.00/0.21	tff('19', plain, ![X0 : frac]: (~ $true | ~ eq(y, X0) | lessf(x, X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.21	tff('20', plain, ![X0 : frac]: (lessf(x, X0) | ~ eq(y, X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['19'])).
0.00/0.21	tff('21', plain, (~ $true | lessf(y, z) | lessf(x, z)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '20'])).
0.00/0.21	tff('22', plain, (lessf(x, z) | lessf(y, z)),
0.00/0.21	    inference('simplify', [status(thm)], ['21'])).
0.00/0.21	tff('23', plain, lessf(y, z), inference('clc', [status(thm)], ['22', '16'])).
0.00/0.21	tff('24', plain, (~ $true | lessf(x, z)),
0.00/0.21	    inference('sup-', [status(thm)], ['23', '13'])).
0.00/0.21	tff('25', plain, lessf(x, z), inference('simplify', [status(thm)], ['24'])).
0.00/0.21	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['25', '16'])).
0.00/0.21	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
