0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_int
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 int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
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   : n112.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 18:29:24 CST 2018
6.61/6.83	% done 782 iterations in 6.621s
6.61/6.83	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
6.61/6.83	% SZS output start Refutation
6.61/6.83	tff(cTHM67A_pme, conjecture,
6.61/6.83	  (((![S:(a > $o)]:
6.61/6.83	       ((![Xx:a]: (S(Xx) => cG(cF(S),Xx))) & 
6.61/6.83	        (![Xx:a]: (S(Xx) => cF(cG(S),Xx))))) & 
6.61/6.83	    (![S:(a > $o),T:(a > $o)]:
6.61/6.83	       ((![Xx:a]: (S(Xx) => T(Xx))) => (![Xx:a]: (cF(T,Xx) => cF(S,Xx)))))) =>
6.61/6.83	   (![S:(a > $o),Xx:a]: (cF(cG(cF(S)),Xx) <=> cF(S,Xx))))).
6.61/6.83	tff(zf_stmt_0, negated_conjecture,
6.61/6.83	  (~
6.61/6.83	    (((![S:(a > $o)]:
6.61/6.83	         ((![Xx:a]: (S(Xx) => cG(cF(S),Xx))) & 
6.61/6.83	          (![Xx:a]: (S(Xx) => cF(cG(S),Xx))))) & 
6.61/6.83	      (![S:(a > $o),T:(a > $o)]:
6.61/6.83	         ((![Xx:a]: (S(Xx) => T(Xx))) => (![Xx:a]: (cF(T,Xx) => cF(S,Xx)))))) =>
6.61/6.83	     (![S:(a > $o),Xx:a]: (cF(cG(cF(S)),Xx) <=> cF(S,Xx)))))).
6.61/6.83	tff('0', plain, (cF(sk_S, sk_Xx) | cF(cG(cF(sk_S)), sk_Xx)),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('1', plain,
6.61/6.83	    ![X4 : a > $o, X5 : a, X6 : a > $o]:
6.61/6.83	      (~ cF(X4, X5) | cF(X6, X5) | X6(sk_Xx1(X4, X6))),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('2', plain,
6.61/6.83	    ![X4 : a > $o, X5 : a, X6 : a > $o, X7 : a > $o]:
6.61/6.83	      (X7 != X6 | ~ cF(X4, X5) | cF(X6, X5) | X7(sk_Xx1(X4, X6))),
6.61/6.83	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
6.61/6.83	tff('3', plain, ![X0 : a > $o, X1 : a]: (cG(cF(X0), X1) | ~ X0(X1)),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('4', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
6.61/6.83	      (X2 != X0 | cG(cF(X0), X1) | ~ X2(X1)),
6.61/6.83	    inference('ho.purify_applied_variable', [status(thm)], ['3'])).
6.61/6.83	tff('5', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a]:
6.61/6.83	      (~ $true
6.61/6.83	       | cF(X1, X4)
6.61/6.83	       | ~ cF(X2, X4)
6.61/6.83	       | X0 != X1
6.61/6.83	       | cG(cF(X3), sk_Xx1(X2, X1))
6.61/6.83	       | X0 != X3),
6.61/6.83	    inference('sup-', [status(thm)], ['2', '4'])).
6.61/6.83	tff('6', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a]:
6.61/6.83	      (X0 != X3
6.61/6.83	       | cG(cF(X3), sk_Xx1(X2, X1))
6.61/6.83	       | X0 != X1
6.61/6.83	       | ~ cF(X2, X4)
6.61/6.83	       | cF(X1, X4)),
6.61/6.83	    inference('simplify', [status(thm)], ['5'])).
6.61/6.83	tff('7', plain,
6.61/6.83	    ![X0 : a, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
6.61/6.83	      (cF(X1, X0) | ~ cF(X2, X0) | X3 != X1 | cG(cF(X3), sk_Xx1(X2, X1))),
6.61/6.83	    inference('eq_res', [status(thm)], ['6'])).
6.61/6.83	tff('8', plain,
6.61/6.83	    ![X4 : a > $o, X5 : a, X6 : a > $o]:
6.61/6.83	      (~ cF(X4, X5) | cF(X6, X5) | ~ X4(sk_Xx1(X4, X6))),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('9', plain,
6.61/6.83	    ![X4 : a > $o, X5 : a, X6 : a > $o, X7 : a > $o]:
6.61/6.83	      (X7 != X4 | ~ cF(X4, X5) | cF(X6, X5) | ~ X7(sk_Xx1(X4, X6))),
6.61/6.83	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
6.61/6.83	tff('10', plain, ![X2 : a > $o, X3 : a]: (cF(cG(X2), X3) | ~ X2(X3)),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('11', plain,
6.61/6.83	    ![X2 : a > $o, X3 : a, X4 : a > $o]:
6.61/6.83	      (X4 != X2 | cF(cG(X2), X3) | ~ X4(X3)),
6.61/6.83	    inference('ho.purify_applied_variable', [status(thm)], ['10'])).
6.61/6.83	tff('12', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
6.61/6.83	      (~ $true
6.61/6.83	       | ~ X3(sk_Xx1(X4, X0))
6.61/6.83	       | ~ cF(X4, X1)
6.61/6.83	       | X3 != X4
6.61/6.83	       | cF(cG(X2), X1)
6.61/6.83	       | cF(X0) != X2),
6.61/6.83	    inference('sup-', [status(thm)], ['9', '11'])).
6.61/6.83	tff('13', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
6.61/6.83	      (cF(X0) != X2
6.61/6.83	       | cF(cG(X2), X1)
6.61/6.83	       | X3 != X4
6.61/6.83	       | ~ cF(X4, X1)
6.61/6.83	       | ~ X3(sk_Xx1(X4, X0))),
6.61/6.83	    inference('simplify', [status(thm)], ['12'])).
6.61/6.83	tff('14', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a]:
6.61/6.83	      (~ X0(sk_Xx1(X2, X1)) | ~ cF(X2, X3) | X0 != X2 | cF(cG(cF(X1)), X3)),
6.61/6.83	    inference('eq_res', [status(thm)], ['13'])).
6.61/6.83	tff('15', plain, (~ cF(sk_S, sk_Xx) | ~ cF(cG(cF(sk_S)), sk_Xx)),
6.61/6.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.61/6.83	tff('16', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o]:
6.61/6.83	      (~ $true
6.61/6.83	       | X0 != X1
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | ~ X0(sk_Xx1(X1, sk_S))
6.61/6.83	       | ~ cF(sk_S, sk_Xx)),
6.61/6.83	    inference('sup-', [status(thm)], ['14', '15'])).
6.61/6.83	tff('17', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o]:
6.61/6.83	      (~ cF(sk_S, sk_Xx)
6.61/6.83	       | ~ X0(sk_Xx1(X1, sk_S))
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | X0 != X1),
6.61/6.83	    inference('simplify', [status(thm)], ['16'])).
6.61/6.83	tff('18', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o]:
6.61/6.83	      (X0 != X1 | ~ cF(X1, sk_Xx) | ~ X0(sk_Xx1(X1, sk_S))),
6.61/6.83	    inference('clc', [status(thm)], ['17', '9'])).
6.61/6.83	tff('19', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
6.61/6.83	      (~ $true
6.61/6.83	       | X0 != sk_S
6.61/6.83	       | ~ cF(X1, X2)
6.61/6.83	       | cF(sk_S, X2)
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | cG(cF(X0)) != X1),
6.61/6.83	    inference('sup-', [status(thm)], ['7', '18'])).
6.61/6.83	tff('20', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
6.61/6.83	      (cG(cF(X0)) != X1
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | cF(sk_S, X2)
6.61/6.83	       | ~ cF(X1, X2)
6.61/6.83	       | X0 != sk_S),
6.61/6.83	    inference('simplify', [status(thm)], ['19'])).
6.61/6.83	tff('21', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a]:
6.61/6.83	      (X0 != sk_S
6.61/6.83	       | ~ cF(cG(cF(X0)), X1)
6.61/6.83	       | cF(sk_S, X1)
6.61/6.83	       | ~ cF(cG(cF(X0)), sk_Xx)),
6.61/6.83	    inference('eq_res', [status(thm)], ['20'])).
6.61/6.83	tff('22', plain,
6.61/6.83	    (~ $true
6.61/6.83	     | cF(sk_S, sk_Xx)
6.61/6.83	     | ~ cF(cG(cF(sk_S)), sk_Xx)
6.61/6.83	     | cF(sk_S, sk_Xx)
6.61/6.83	     | sk_S != sk_S),
6.61/6.83	    inference('sup-', [status(thm)], ['0', '21'])).
6.61/6.83	tff('23', plain, (~ cF(cG(cF(sk_S)), sk_Xx) | cF(sk_S, sk_Xx)),
6.61/6.83	    inference('simplify', [status(thm)], ['22'])).
6.61/6.83	tff('24', plain, cF(sk_S, sk_Xx),
6.61/6.83	    inference('clc', [status(thm)], ['23', '0'])).
6.61/6.83	tff('25', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
6.61/6.83	      (~ $true
6.61/6.83	       | X3(sk_Xx1(X4, X0))
6.61/6.83	       | ~ cF(X4, X1)
6.61/6.83	       | X3 != X0
6.61/6.83	       | cF(cG(X2), X1)
6.61/6.83	       | cF(X0) != X2),
6.61/6.83	    inference('sup-', [status(thm)], ['2', '11'])).
6.61/6.83	tff('26', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
6.61/6.83	      (cF(X0) != X2
6.61/6.83	       | cF(cG(X2), X1)
6.61/6.83	       | X3 != X0
6.61/6.83	       | ~ cF(X4, X1)
6.61/6.83	       | X3(sk_Xx1(X4, X0))),
6.61/6.83	    inference('simplify', [status(thm)], ['25'])).
6.61/6.83	tff('27', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a]:
6.61/6.83	      (X0(sk_Xx1(X2, X1)) | ~ cF(X2, X3) | X0 != X1 | cF(cG(cF(X1)), X3)),
6.61/6.83	    inference('eq_res', [status(thm)], ['26'])).
6.61/6.83	tff('28', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
6.61/6.83	      (~ $true
6.61/6.83	       | cF(cG(cF(sk_S)), X2)
6.61/6.83	       | X0 != sk_S
6.61/6.83	       | ~ cF(X1, X2)
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | X0 != X1),
6.61/6.83	    inference('sup-', [status(thm)], ['27', '18'])).
6.61/6.83	tff('29', plain,
6.61/6.83	    ![X0 : a > $o, X1 : a > $o, X2 : a]:
6.61/6.83	      (X0 != X1
6.61/6.83	       | ~ cF(X1, sk_Xx)
6.61/6.83	       | ~ cF(X1, X2)
6.61/6.83	       | X0 != sk_S
6.61/6.83	       | cF(cG(cF(sk_S)), X2)),
6.61/6.83	    inference('simplify', [status(thm)], ['28'])).
6.61/6.83	tff('30', plain,
6.61/6.83	    ![X0 : a, X1 : a > $o]:
6.61/6.83	      (cF(cG(cF(sk_S)), X0) | X1 != sk_S | ~ cF(X1, X0) | ~ cF(X1, sk_Xx)),
6.61/6.83	    inference('eq_res', [status(thm)], ['29'])).
6.61/6.83	tff('31', plain,
6.61/6.83	    ![X0 : a > $o]:
6.61/6.83	      (~ $true
6.61/6.83	       | ~ cF(X0, sk_Xx)
6.61/6.83	       | ~ cF(X0, sk_Xx)
6.61/6.83	       | X0 != sk_S
6.61/6.83	       | ~ cF(sk_S, sk_Xx)),
6.61/6.83	    inference('sup-', [status(thm)], ['30', '15'])).
6.61/6.83	tff('32', plain,
6.61/6.83	    ![X0 : a > $o]: (~ cF(sk_S, sk_Xx) | X0 != sk_S | ~ cF(X0, sk_Xx)),
6.61/6.83	    inference('simplify', [status(thm)], ['31'])).
6.61/6.83	tff('33', plain, ![X0 : a > $o]: (~ $true | ~ cF(X0, sk_Xx) | X0 != sk_S),
6.61/6.83	    inference('sup-', [status(thm)], ['24', '32'])).
6.61/6.83	tff('34', plain, ![X0 : a > $o]: (X0 != sk_S | ~ cF(X0, sk_Xx)),
6.61/6.83	    inference('simplify', [status(thm)], ['33'])).
6.61/6.83	tff('35', plain, (~ $true | sk_S != sk_S),
6.61/6.83	    inference('sup-', [status(thm)], ['24', '34'])).
6.61/6.83	tff('36', plain, $false, inference('simplify', [status(thm)], ['35'])).
6.61/6.83	
6.61/6.83	% SZS output end Refutation
6.61/6.83	EOF
