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_ext
0.00/0.01	% Ordering    : rpo6
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
0.00/0.21	% Computer   : n102.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:56:24 CST 2018
3.00/3.27	% done 634 iterations in 3.052s
3.00/3.27	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
3.00/3.27	% SZS output start Refutation
3.00/3.27	tff(cTHM564_pme, conjecture,
3.00/3.27	  (![P:((b > $o * b) > $o),S:(b > $o > $o)]:
3.00/3.27	     ((![Xx:(b > $o)]:
3.00/3.27	         (S(Xx) =>
3.00/3.27	          (![X:(b > $o),Xy:b]:
3.00/3.27	             ((P(X,Xy) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) => Xx(Xy))))) =>
3.00/3.27	      (![X:(b > $o),Xy:b]:
3.00/3.27	         ((P(X,Xy) & 
3.00/3.27	           (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
3.00/3.27	          (![S0:(b > $o)]: (S(S0) => S0(Xy)))))))).
3.00/3.27	tff(zf_stmt_0, negated_conjecture,
3.00/3.27	  (~
3.00/3.27	    (![P:((b > $o * b) > $o),S:(b > $o > $o)]:
3.00/3.27	       ((![Xx:(b > $o)]:
3.00/3.27	           (S(Xx) =>
3.00/3.27	            (![X:(b > $o),Xy:b]:
3.00/3.27	               ((P(X,Xy) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) => Xx(Xy))))) =>
3.00/3.27	        (![X:(b > $o),Xy:b]:
3.00/3.27	           ((P(X,Xy) & 
3.00/3.27	             (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
3.00/3.27	            (![S0:(b > $o)]: (S(S0) => S0(Xy))))))))).
3.00/3.27	tff('0', plain, sk_S(sk_S0), inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('1', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b, X2 : b > $o]:
3.00/3.27	      (X0(X1) | ~ sk_P(X2, X1) | X2(sk_Xx0(X2, X0)) | ~ sk_S(X0)),
3.00/3.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('2', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
3.00/3.27	      (X4 != X0
3.00/3.27	       | X3 != X2
3.00/3.27	       | X0(X1)
3.00/3.27	       | ~ sk_P(X2, X1)
3.00/3.27	       | X3(sk_Xx0(X2, X4))
3.00/3.27	       | ~ sk_S(X4)),
3.00/3.27	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
3.00/3.27	tff('3', plain, ~ sk_S0(sk_Xy), inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('4', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (~ $true
3.00/3.27	       | ~ sk_S(X0)
3.00/3.27	       | X1(sk_Xx0(X2, X0))
3.00/3.27	       | ~ sk_P(X2, sk_Xy)
3.00/3.27	       | X1 != X2
3.00/3.27	       | X0 != sk_S0),
3.00/3.27	    inference('sup-', [status(thm)], ['2', '3'])).
3.00/3.27	tff('5', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (X0 != sk_S0
3.00/3.27	       | X1 != X2
3.00/3.27	       | ~ sk_P(X2, sk_Xy)
3.00/3.27	       | X1(sk_Xx0(X2, X0))
3.00/3.27	       | ~ sk_S(X0)),
3.00/3.27	    inference('simplify', [status(thm)], ['4'])).
3.00/3.27	tff('6', plain, ![X3 : b > $o, X4 : b]: (~ sk_S(X3) | X3(X4) | ~ sk_X(X4)),
3.00/3.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('7', plain,
3.00/3.27	    ![X3 : b > $o, X4 : b, X5 : b > $o]:
3.00/3.27	      (X5 != X3 | ~ sk_S(X3) | X5(X4) | ~ sk_X(X4)),
3.00/3.27	    inference('ho.purify_applied_variable', [status(thm)], ['6'])).
3.00/3.27	tff('8', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
3.00/3.27	      (~ $true
3.00/3.27	       | ~ sk_S(X0)
3.00/3.27	       | ~ sk_P(X1, sk_Xy)
3.00/3.27	       | sk_X != X1
3.00/3.27	       | X0 != sk_S0
3.00/3.27	       | X2(sk_Xx0(X1, X0))
3.00/3.27	       | ~ sk_S(X3)
3.00/3.27	       | X2 != X3),
3.00/3.27	    inference('sup-', [status(thm)], ['5', '7'])).
3.00/3.27	tff('9', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
3.00/3.27	      (X2 != X3
3.00/3.27	       | ~ sk_S(X3)
3.00/3.27	       | X2(sk_Xx0(X1, X0))
3.00/3.27	       | X0 != sk_S0
3.00/3.27	       | sk_X != X1
3.00/3.27	       | ~ sk_P(X1, sk_Xy)
3.00/3.27	       | ~ sk_S(X0)),
3.00/3.27	    inference('simplify', [status(thm)], ['8'])).
3.00/3.27	tff('10', plain, sk_P(sk_X, sk_Xy),
3.00/3.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('11', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b, X2 : b > $o]:
3.00/3.27	      (X0(X1) | ~ sk_P(X2, X1) | ~ X0(sk_Xx0(X2, X0)) | ~ sk_S(X0)),
3.00/3.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.00/3.27	tff('12', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
3.00/3.27	      (X4 != X0
3.00/3.27	       | X3 != X0
3.00/3.27	       | X0(X1)
3.00/3.27	       | ~ sk_P(X2, X1)
3.00/3.27	       | ~ X3(sk_Xx0(X2, X4))
3.00/3.27	       | ~ sk_S(X4)),
3.00/3.27	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
3.00/3.27	tff('13', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (~ $true
3.00/3.27	       | ~ sk_S(X0)
3.00/3.27	       | ~ X1(sk_Xx0(sk_X, X0))
3.00/3.27	       | X2(sk_Xy)
3.00/3.27	       | X1 != X2
3.00/3.27	       | X0 != X2),
3.00/3.27	    inference('sup-', [status(thm)], ['10', '12'])).
3.00/3.27	tff('14', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (X0 != X2 | X1 != X2 | X2(sk_Xy) | ~ X1(sk_Xx0(sk_X, X0)) | ~ sk_S(X0)),
3.00/3.27	    inference('simplify', [status(thm)], ['13'])).
3.00/3.27	tff('15', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]:
3.00/3.27	      (~ sk_S(X0) | ~ X1(sk_Xx0(sk_X, X0)) | X0(sk_Xy) | X1 != X0),
3.00/3.27	    inference('eq_res', [status(thm)], ['14'])).
3.00/3.27	tff('16', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (X2 != X0 | ~ sk_S(X0) | ~ X1(sk_Xx0(sk_X, X0)) | X2(sk_Xy) | X1 != X0),
3.00/3.27	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
3.00/3.27	tff('17', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]:
3.00/3.27	      (~ $true | X0 != X1 | ~ X0(sk_Xx0(sk_X, X1)) | ~ sk_S(X1) | sk_S0 != X1),
3.00/3.27	    inference('sup-', [status(thm)], ['16', '3'])).
3.00/3.27	tff('18', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]:
3.00/3.27	      (sk_S0 != X1 | ~ sk_S(X1) | ~ X0(sk_Xx0(sk_X, X1)) | X0 != X1),
3.00/3.27	    inference('simplify', [status(thm)], ['17'])).
3.00/3.27	tff('19', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (~ $true
3.00/3.27	       | ~ sk_S(X1)
3.00/3.27	       | ~ sk_P(sk_X, sk_Xy)
3.00/3.27	       | sk_X != sk_X
3.00/3.27	       | X1 != sk_S0
3.00/3.27	       | ~ sk_S(X2)
3.00/3.27	       | X0 != X2
3.00/3.27	       | X0 != X1
3.00/3.27	       | ~ sk_S(X1)
3.00/3.27	       | sk_S0 != X1),
3.00/3.27	    inference('sup-', [status(thm)], ['9', '18'])).
3.00/3.27	tff('20', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (~ $true
3.00/3.27	       | ~ sk_S(X1)
3.00/3.27	       | ~ $true
3.00/3.27	       | sk_X != sk_X
3.00/3.27	       | X1 != sk_S0
3.00/3.27	       | ~ sk_S(X2)
3.00/3.27	       | X0 != X2
3.00/3.27	       | X0 != X1
3.00/3.27	       | ~ sk_S(X1)
3.00/3.27	       | sk_S0 != X1),
3.00/3.27	    inference('demod', [status(thm)], ['19', '10'])).
3.00/3.27	tff('21', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
3.00/3.27	      (X0 != X1 | X0 != X2 | ~ sk_S(X2) | X1 != sk_S0 | ~ sk_S(X1)),
3.00/3.27	    inference('simplify', [status(thm)], ['20'])).
3.00/3.27	tff('22', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]:
3.00/3.27	      (~ sk_S(sk_S0) | ~ sk_S(X0) | X1 != X0 | X1 != sk_S0),
3.00/3.27	    inference('eq_res', [status(thm)], ['21'])).
3.00/3.27	tff('23', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]:
3.00/3.27	      (~ $true | ~ sk_S(X0) | X1 != X0 | X1 != sk_S0),
3.00/3.27	    inference('demod', [status(thm)], ['22', '0'])).
3.00/3.27	tff('24', plain,
3.00/3.27	    ![X0 : b > $o, X1 : b > $o]: (X1 != sk_S0 | X1 != X0 | ~ sk_S(X0)),
3.00/3.27	    inference('simplify', [status(thm)], ['23'])).
3.00/3.27	tff('25', plain, ![X0 : b > $o]: (~ $true | X0 != sk_S0 | X0 != sk_S0),
3.00/3.27	    inference('sup-', [status(thm)], ['0', '24'])).
3.00/3.27	tff('26', plain, ![X0 : b > $o]: X0 != sk_S0,
3.00/3.27	    inference('simplify', [status(thm)], ['25'])).
3.00/3.27	tff('27', plain, $false, inference('eq_res', [status(thm)], ['26'])).
3.00/3.27	
3.00/3.27	% SZS output end Refutation
3.00/3.27	EOF
