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   : n092.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 17:15:26 CST 2018
0.00/0.21	% done 20 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(funcext, axiom,
0.00/0.21	  (funcext <=>
0.00/0.21	   (![A,B,Xf]:
0.00/0.21	      (func(A,B,Xf) =>
0.00/0.21	       (![Xg]:
0.00/0.21	          (func(A,B,Xg) =>
0.00/0.21	           ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) =>
0.00/0.21	            (Xf = Xg)))))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X5)
0.00/0.21	       | in(sk_Xx(X6, X5, X4, X3), X3)
0.00/0.21	       | X5 = X6
0.00/0.21	       | ~ func(X3, X4, X6)
0.00/0.21	       | ~ funcext),
0.00/0.21	    inference('cnf', [status(esa)], [funcext])).
0.00/0.21	tff(funcext2, conjecture,
0.00/0.21	  (infuncsetfunc =>
0.00/0.21	   (funcext =>
0.00/0.21	    (![A,B,Xf]:
0.00/0.21	       (in(Xf,funcSet(A,B)) =>
0.00/0.21	        (![Xg]:
0.00/0.21	           (in(Xg,funcSet(A,B)) =>
0.00/0.21	            ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) =>
0.00/0.21	             (Xf = Xg))))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (infuncsetfunc =>
0.00/0.21	     (funcext =>
0.00/0.21	      (![A,B,Xf]:
0.00/0.21	         (in(Xf,funcSet(A,B)) =>
0.00/0.21	          (![Xg]:
0.00/0.21	             (in(Xg,funcSet(A,B)) =>
0.00/0.21	              ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) =>
0.00/0.21	               (Xf = Xg)))))))))).
0.00/0.21	tff('1', plain, funcext, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X5)
0.00/0.21	       | in(sk_Xx(X6, X5, X4, X3), X3)
0.00/0.21	       | X5 = X6
0.00/0.21	       | ~ func(X3, X4, X6)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X6)
0.00/0.21	       | X5 = X6
0.00/0.21	       | in(sk_Xx(X6, X5, X4, X3), X3)
0.00/0.21	       | ~ func(X3, X4, X5)),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X8]:
0.00/0.21	      (ap(sk_A2, sk_B2, sk_Xf2, X8) = ap(sk_A2, sk_B2, sk_Xg1, X8)
0.00/0.21	       | ~ in(X8, sk_A2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X5)
0.00/0.21	       | ap(X3, X4, X5, sk_Xx(X6, X5, X4, X3))
0.00/0.21	          != ap(X3, X4, X6, sk_Xx(X6, X5, X4, X3))
0.00/0.21	       | X5 = X6
0.00/0.21	       | ~ func(X3, X4, X6)
0.00/0.21	       | ~ funcext),
0.00/0.21	    inference('cnf', [status(esa)], [funcext])).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X5)
0.00/0.21	       | ap(X3, X4, X5, sk_Xx(X6, X5, X4, X3))
0.00/0.21	          != ap(X3, X4, X6, sk_Xx(X6, X5, X4, X3))
0.00/0.21	       | X5 = X6
0.00/0.21	       | ~ func(X3, X4, X6)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['5', '1'])).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X3, X4, X5, X6]:
0.00/0.21	      (~ func(X3, X4, X6)
0.00/0.21	       | X5 = X6
0.00/0.21	       | ap(X3, X4, X5, sk_Xx(X6, X5, X4, X3))
0.00/0.21	          != ap(X3, X4, X6, sk_Xx(X6, X5, X4, X3))
0.00/0.21	       | ~ func(X3, X4, X5)),
0.00/0.21	    inference('simplify', [status(thm)], ['6'])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (ap(sk_A2, sk_B2, sk_Xf2, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))
0.00/0.21	        != ap(sk_A2, sk_B2, X0, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))
0.00/0.21	       | ~ in(sk_Xx(X0, sk_Xg1, sk_B2, sk_A2), sk_A2)
0.00/0.21	       | ~ func(sk_A2, sk_B2, sk_Xg1)
0.00/0.21	       | sk_Xg1 = X0
0.00/0.21	       | ~ func(sk_A2, sk_B2, X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['4', '7'])).
0.00/0.21	tff('9', plain, in(sk_Xg1, funcSet(sk_A2, sk_B2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(infuncsetfunc, axiom,
0.00/0.21	  (infuncsetfunc <=> (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf))))).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X0, X1, X2]:
0.00/0.21	      (~ in(X0, funcSet(X1, X2)) | func(X1, X2, X0) | ~ infuncsetfunc),
0.00/0.21	    inference('cnf', [status(esa)], [infuncsetfunc])).
0.00/0.21	tff('11', plain, infuncsetfunc, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('12', plain,
0.00/0.21	    ![X0, X1, X2]: (~ in(X0, funcSet(X1, X2)) | func(X1, X2, X0) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['10', '11'])).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X0, X1, X2]: (func(X1, X2, X0) | ~ in(X0, funcSet(X1, X2))),
0.00/0.21	    inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff('14', plain, (~ $true | func(sk_A2, sk_B2, sk_Xg1)),
0.00/0.21	    inference('sup-', [status(thm)], ['9', '13'])).
0.00/0.21	tff('15', plain, func(sk_A2, sk_B2, sk_Xg1),
0.00/0.21	    inference('simplify', [status(thm)], ['14'])).
0.00/0.21	tff('16', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (ap(sk_A2, sk_B2, sk_Xf2, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))
0.00/0.21	        != ap(sk_A2, sk_B2, X0, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))
0.00/0.21	       | ~ in(sk_Xx(X0, sk_Xg1, sk_B2, sk_A2), sk_A2)
0.00/0.21	       | ~ $true
0.00/0.21	       | sk_Xg1 = X0
0.00/0.21	       | ~ func(sk_A2, sk_B2, X0)),
0.00/0.21	    inference('demod', [status(thm)], ['8', '15'])).
0.00/0.21	tff('17', plain,
0.00/0.21	    ![X0]:
0.00/0.21	      (~ func(sk_A2, sk_B2, X0)
0.00/0.21	       | sk_Xg1 = X0
0.00/0.21	       | ~ in(sk_Xx(X0, sk_Xg1, sk_B2, sk_A2), sk_A2)
0.00/0.21	       | ap(sk_A2, sk_B2, sk_Xf2, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))
0.00/0.21	          != ap(sk_A2, sk_B2, X0, sk_Xx(X0, sk_Xg1, sk_B2, sk_A2))),
0.00/0.21	    inference('simplify', [status(thm)], ['16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    (~ in(sk_Xx(sk_Xf2, sk_Xg1, sk_B2, sk_A2), sk_A2)
0.00/0.21	     | sk_Xg1 = sk_Xf2
0.00/0.21	     | ~ func(sk_A2, sk_B2, sk_Xf2)),
0.00/0.21	    inference('eq_res', [status(thm)], ['17'])).
0.00/0.21	tff('19', plain, in(sk_Xf2, funcSet(sk_A2, sk_B2)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('20', plain, (~ $true | func(sk_A2, sk_B2, sk_Xf2)),
0.00/0.21	    inference('sup-', [status(thm)], ['19', '13'])).
0.00/0.21	tff('21', plain, func(sk_A2, sk_B2, sk_Xf2),
0.00/0.21	    inference('simplify', [status(thm)], ['20'])).
0.00/0.21	tff('22', plain,
0.00/0.21	    (~ in(sk_Xx(sk_Xf2, sk_Xg1, sk_B2, sk_A2), sk_A2)
0.00/0.21	     | sk_Xg1 = sk_Xf2
0.00/0.21	     | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['18', '21'])).
0.00/0.21	tff('23', plain,
0.00/0.21	    (sk_Xg1 = sk_Xf2 | ~ in(sk_Xx(sk_Xf2, sk_Xg1, sk_B2, sk_A2), sk_A2)),
0.00/0.21	    inference('simplify', [status(thm)], ['22'])).
0.00/0.21	tff('24', plain, sk_Xf2 != sk_Xg1,
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('25', plain, ~ in(sk_Xx(sk_Xf2, sk_Xg1, sk_B2, sk_A2), sk_A2),
0.00/0.21	    inference('simplify_reflect-', [status(thm)], ['23', '24'])).
0.00/0.21	tff('26', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | ~ func(sk_A2, sk_B2, sk_Xg1)
0.00/0.21	     | sk_Xg1 = sk_Xf2
0.00/0.21	     | ~ func(sk_A2, sk_B2, sk_Xf2)),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '25'])).
0.00/0.21	tff('27', plain, (~ $true | ~ $true | sk_Xg1 = sk_Xf2 | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['26', '15', '21'])).
0.00/0.21	tff('28', plain, sk_Xg1 = sk_Xf2,
0.00/0.21	    inference('simplify', [status(thm)], ['27'])).
0.00/0.21	tff('29', plain, $false,
0.00/0.21	    inference('simplify_reflect-', [status(thm)], ['28', '24'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
