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_int
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 int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
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   : n170.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 17:57:38 CST 2018
0.55/0.74	% done 226 iterations in 0.543s
0.55/0.74	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.55/0.74	% SZS output start Refutation
0.55/0.74	tff(cTHM564_pme, conjecture,
0.55/0.74	  (![P:((b > $o * b) > $o),S:(b > $o > $o)]:
0.55/0.74	     ((![Xx:(b > $o)]:
0.55/0.74	         (S(Xx) =>
0.55/0.74	          (![X:(b > $o),Xy:b]:
0.55/0.74	             ((P(X,Xy) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) => Xx(Xy))))) =>
0.55/0.74	      (![X:(b > $o),Xy:b]:
0.55/0.74	         ((P(X,Xy) & 
0.55/0.74	           (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.55/0.74	          (![S0:(b > $o)]: (S(S0) => S0(Xy)))))))).
0.55/0.74	tff(zf_stmt_0, negated_conjecture,
0.55/0.74	  (~
0.55/0.74	    (![P:((b > $o * b) > $o),S:(b > $o > $o)]:
0.55/0.74	       ((![Xx:(b > $o)]:
0.55/0.74	           (S(Xx) =>
0.55/0.74	            (![X:(b > $o),Xy:b]:
0.55/0.74	               ((P(X,Xy) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) => Xx(Xy))))) =>
0.55/0.74	        (![X:(b > $o),Xy:b]:
0.55/0.74	           ((P(X,Xy) & 
0.55/0.74	             (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.55/0.74	            (![S0:(b > $o)]: (S(S0) => S0(Xy))))))))).
0.55/0.74	tff('0', plain, sk_P(sk_X, sk_Xy),
0.55/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('1', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b, X2 : b > $o]:
0.55/0.74	      (X0(X1) | ~ sk_P(X2, X1) | X2(sk_Xx0(X2, X0)) | ~ sk_S(X0)),
0.55/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('2', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.55/0.74	      (X4 != X0
0.55/0.74	       | X3 != X2
0.55/0.74	       | X0(X1)
0.55/0.74	       | ~ sk_P(X2, X1)
0.55/0.74	       | X3(sk_Xx0(X2, X4))
0.55/0.74	       | ~ sk_S(X4)),
0.55/0.74	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.55/0.74	tff('3', plain, ~ sk_S0(sk_Xy), inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('4', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (~ $true
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | X1(sk_Xx0(X2, X0))
0.55/0.74	       | ~ sk_P(X2, sk_Xy)
0.55/0.74	       | X1 != X2
0.55/0.74	       | X0 != sk_S0),
0.55/0.74	    inference('sup-', [status(thm)], ['2', '3'])).
0.55/0.74	tff('5', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (X0 != sk_S0
0.55/0.74	       | X1 != X2
0.55/0.74	       | ~ sk_P(X2, sk_Xy)
0.55/0.74	       | X1(sk_Xx0(X2, X0))
0.55/0.74	       | ~ sk_S(X0)),
0.55/0.74	    inference('simplify', [status(thm)], ['4'])).
0.55/0.74	tff('6', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (~ $true | ~ sk_S(X0) | X1(sk_Xx0(sk_X, X0)) | X1 != sk_X | X0 != sk_S0),
0.55/0.74	    inference('sup-', [status(thm)], ['0', '5'])).
0.55/0.74	tff('7', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (X0 != sk_S0 | X1 != sk_X | X1(sk_Xx0(sk_X, X0)) | ~ sk_S(X0)),
0.55/0.74	    inference('simplify', [status(thm)], ['6'])).
0.55/0.74	tff('8', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (X2 != X1
0.55/0.74	       | X0 != sk_S0
0.55/0.74	       | X1 != sk_X
0.55/0.74	       | X2(sk_Xx0(sk_X, X0))
0.55/0.74	       | ~ sk_S(X0)),
0.55/0.74	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
0.55/0.74	tff('9', plain, ![X3 : b > $o, X4 : b]: (~ sk_S(X3) | X3(X4) | ~ sk_X(X4)),
0.55/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('10', plain,
0.55/0.74	    ![X3 : b > $o, X4 : b, X5 : b > $o]:
0.55/0.74	      (X5 != X3 | ~ sk_S(X3) | X5(X4) | ~ sk_X(X4)),
0.55/0.74	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
0.55/0.74	tff('11', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.55/0.74	      (~ $true
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | X3 != sk_X
0.55/0.74	       | X0 != sk_S0
0.55/0.74	       | sk_X != X3
0.55/0.74	       | X1(sk_Xx0(sk_X, X0))
0.55/0.74	       | ~ sk_S(X2)
0.55/0.74	       | X1 != X2),
0.55/0.74	    inference('sup-', [status(thm)], ['8', '10'])).
0.55/0.74	tff('12', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.55/0.74	      (X1 != X2
0.55/0.74	       | ~ sk_S(X2)
0.55/0.74	       | X1(sk_Xx0(sk_X, X0))
0.55/0.74	       | X0 != sk_S0
0.55/0.74	       | X3 != sk_X
0.55/0.74	       | ~ sk_S(X0)),
0.55/0.74	    inference('simplify', [status(thm)], ['11'])).
0.55/0.74	tff('13', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b, X2 : b > $o]:
0.55/0.74	      (X0(X1) | ~ sk_P(X2, X1) | ~ X0(sk_Xx0(X2, X0)) | ~ sk_S(X0)),
0.55/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('14', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o]:
0.55/0.74	      (X3 != X0 | X0(X1) | ~ sk_P(X2, X1) | ~ X0(sk_Xx0(X2, X3)) | ~ sk_S(X3)),
0.55/0.74	    inference('ho.purify_applied_variable', [status(thm)], ['13'])).
0.55/0.74	tff('15', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (~ $true
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | ~ sk_S0(sk_Xx0(X1, X0))
0.55/0.74	       | ~ sk_P(X1, sk_Xy)
0.55/0.74	       | X0 != sk_S0),
0.55/0.74	    inference('sup-', [status(thm)], ['14', '3'])).
0.55/0.74	tff('16', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (X0 != sk_S0 | ~ sk_P(X1, sk_Xy) | ~ sk_S0(sk_Xx0(X1, X0)) | ~ sk_S(X0)),
0.55/0.74	    inference('simplify', [status(thm)], ['15'])).
0.55/0.74	tff('17', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (~ $true
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | X1 != sk_X
0.55/0.74	       | X0 != sk_S0
0.55/0.74	       | ~ sk_S(X2)
0.55/0.74	       | sk_S0 != X2
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | ~ sk_P(sk_X, sk_Xy)
0.55/0.74	       | X0 != sk_S0),
0.55/0.74	    inference('sup-', [status(thm)], ['12', '16'])).
0.55/0.74	tff('18', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (~ $true
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | X1 != sk_X
0.55/0.74	       | X0 != sk_S0
0.55/0.74	       | ~ sk_S(X2)
0.55/0.74	       | sk_S0 != X2
0.55/0.74	       | ~ sk_S(X0)
0.55/0.74	       | ~ $true
0.55/0.74	       | X0 != sk_S0),
0.55/0.74	    inference('demod', [status(thm)], ['17', '0'])).
0.55/0.74	tff('19', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.55/0.74	      (sk_S0 != X2 | ~ sk_S(X2) | X0 != sk_S0 | X1 != sk_X | ~ sk_S(X0)),
0.55/0.74	    inference('simplify', [status(thm)], ['18'])).
0.55/0.74	tff('20', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (~ sk_S(sk_S0) | X0 != sk_X | ~ sk_S(X1) | sk_S0 != X1),
0.55/0.74	    inference('eq_res', [status(thm)], ['19'])).
0.55/0.74	tff('21', plain, sk_S(sk_S0), inference('cnf', [status(esa)], [zf_stmt_0])).
0.55/0.74	tff('22', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]:
0.55/0.74	      (~ $true | X0 != sk_X | ~ sk_S(X1) | sk_S0 != X1),
0.55/0.74	    inference('demod', [status(thm)], ['20', '21'])).
0.55/0.74	tff('23', plain,
0.55/0.74	    ![X0 : b > $o, X1 : b > $o]: (sk_S0 != X1 | ~ sk_S(X1) | X0 != sk_X),
0.55/0.74	    inference('simplify', [status(thm)], ['22'])).
0.55/0.74	tff('24', plain, ![X0 : b > $o]: (X0 != sk_X | ~ sk_S(sk_S0)),
0.55/0.74	    inference('eq_res', [status(thm)], ['23'])).
0.55/0.74	tff('25', plain, ![X0 : b > $o]: (X0 != sk_X | ~ $true),
0.55/0.74	    inference('demod', [status(thm)], ['24', '21'])).
0.55/0.74	tff('26', plain, ![X0 : b > $o]: X0 != sk_X,
0.55/0.74	    inference('simplify', [status(thm)], ['25'])).
0.55/0.74	tff('27', plain, $false, inference('eq_res', [status(thm)], ['26'])).
0.55/0.74	
0.55/0.74	% SZS output end Refutation
0.55/0.74	EOF
