0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
0.00/0.01	% Ordering    : kbo
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n142.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 07:31:53 CST 2018
0.00/0.22	% done 28 iterations in 0.018s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(cPA_3_def, axiom, (cPA_3 <=> (![Xx:n]: (c_star(Xx,c0) = c0)))).
0.00/0.22	tff('0', plain, ![X3 : n]: (c_star(X3, c0) = c0 | ~ cPA_3),
0.00/0.22	    inference('cnf', [status(esa)], [cPA_3_def])).
0.00/0.22	tff(cPA_THM1, conjecture,
0.00/0.22	  ((cPA_4 & cPA_3 & cPA_2 & cPA_1) =>
0.00/0.22	   (c_star(cS(cS(c0)),cS(cS(c0))) = c_plus(cS(cS(c0)),cS(cS(c0)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    ((cPA_4 & cPA_3 & cPA_2 & cPA_1) =>
0.00/0.22	     (c_star(cS(cS(c0)),cS(cS(c0))) = c_plus(cS(cS(c0)),cS(cS(c0))))))).
0.00/0.22	tff('1', plain, cPA_3, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain, ![X3 : n]: (c_star(X3, c0) = c0 | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain, ![X3 : n]: c_star(X3, c0) = c0,
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff(cPA_4_def, axiom,
0.00/0.22	  (cPA_4 <=> (![Xx:n,Xy:n]: (c_star(Xx,cS(Xy)) = c_plus(c_star(Xx,Xy),Xx))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X4 : n, X5 : n]:
0.00/0.22	      (c_star(X4, cS(X5)) = c_plus(c_star(X4, X5), X4) | ~ cPA_4),
0.00/0.22	    inference('cnf', [status(esa)], [cPA_4_def])).
0.00/0.22	tff('5', plain, cPA_4, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X4 : n, X5 : n]:
0.00/0.22	      (c_star(X4, cS(X5)) = c_plus(c_star(X4, X5), X4) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X4 : n, X5 : n]: c_star(X4, cS(X5)) = c_plus(c_star(X4, X5), X4),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain, ![X0 : n]: c_star(X0, cS(c0)) = c_plus(c0, X0),
0.00/0.22	    inference('sup+', [status(thm)], ['3', '7'])).
0.00/0.22	tff(cPA_1_def, axiom, (cPA_1 <=> (![Xx:n]: (c_plus(Xx,c0) = Xx)))).
0.00/0.22	tff('9', plain, ![X0 : n]: (c_plus(X0, c0) = X0 | ~ cPA_1),
0.00/0.22	    inference('cnf', [status(esa)], [cPA_1_def])).
0.00/0.22	tff('10', plain, cPA_1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('11', plain, ![X0 : n]: (c_plus(X0, c0) = X0 | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['9', '10'])).
0.00/0.22	tff('12', plain, ![X0 : n]: c_plus(X0, c0) = X0,
0.00/0.22	    inference('simplify', [status(thm)], ['11'])).
0.00/0.22	tff(cPA_2_def, axiom,
0.00/0.22	  (cPA_2 <=> (![Xx:n,Xy:n]: (c_plus(Xx,cS(Xy)) = cS(c_plus(Xx,Xy)))))).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X1 : n, X2 : n]: (c_plus(X1, cS(X2)) = cS(c_plus(X1, X2)) | ~ cPA_2),
0.00/0.22	    inference('cnf', [status(esa)], [cPA_2_def])).
0.00/0.22	tff('14', plain, cPA_2, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X1 : n, X2 : n]: (c_plus(X1, cS(X2)) = cS(c_plus(X1, X2)) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['13', '14'])).
0.00/0.22	tff('16', plain, ![X1 : n, X2 : n]: c_plus(X1, cS(X2)) = cS(c_plus(X1, X2)),
0.00/0.22	    inference('simplify', [status(thm)], ['15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0 : n, X1 : n]:
0.00/0.22	      c_star(cS(X1), cS(X0)) = cS(c_plus(c_star(cS(X1), X0), X1)),
0.00/0.22	    inference('sup+', [status(thm)], ['7', '16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0 : n, X1 : n]:
0.00/0.22	      c_star(cS(cS(X0)), cS(X1)) = cS(cS(c_plus(c_star(cS(cS(X0)), X1), X0))),
0.00/0.22	    inference('sup+', [status(thm)], ['16', '17'])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0 : n]: c_star(cS(cS(c0)), cS(X0)) = cS(cS(c_star(cS(cS(c0)), X0))),
0.00/0.22	    inference('sup+', [status(thm)], ['12', '18'])).
0.00/0.22	tff('20', plain,
0.00/0.22	    c_star(cS(cS(c0)), cS(cS(c0))) = cS(cS(c_plus(c0, cS(cS(c0))))),
0.00/0.22	    inference('sup+', [status(thm)], ['8', '19'])).
0.00/0.22	tff('21', plain, c_star(cS(cS(c0)), cS(cS(c0))) = cS(cS(cS(cS(c0)))),
0.00/0.22	    inference('demod', [status(thm)], ['20', '16', '16', '12'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    c_star(cS(cS(c0)), cS(cS(c0))) != c_plus(cS(cS(c0)), cS(cS(c0))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('23', plain, c_star(cS(cS(c0)), cS(cS(c0))) != cS(cS(cS(cS(c0)))),
0.00/0.22	    inference('demod', [status(thm)], ['22', '16', '16', '12'])).
0.00/0.22	tff('24', plain, $false,
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['21', '23'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
