0.00/0.00	% File    : /export/starexec/sandbox2/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   : n105.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 17:57:24 CST 2018
0.00/0.39	% done 160 iterations in 0.192s
0.00/0.39	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.39	% SZS output start Refutation
0.00/0.39	tff(cTHM565_pme, conjecture,
0.00/0.39	  (![P:((b > $o * b > $o) > $o),S:(b > $o > $o)]:
0.00/0.39	     ((![Xx:(b > $o)]:
0.00/0.39	         (S(Xx) =>
0.00/0.39	          (![X:(b > $o),Y:(b > $o)]:
0.00/0.39	             ((P(X,Y) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) =>
0.00/0.39	              (![Xx0:b]: (Y(Xx0) => Xx(Xx0))))))) =>
0.00/0.39	      (![X:(b > $o),Y:(b > $o)]:
0.00/0.39	         ((P(X,Y) & (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.00/0.39	          (![Xx:b]: (Y(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))))))).
0.00/0.39	tff(zf_stmt_0, negated_conjecture,
0.00/0.39	  (~
0.00/0.39	    (![P:((b > $o * b > $o) > $o),S:(b > $o > $o)]:
0.00/0.39	       ((![Xx:(b > $o)]:
0.00/0.39	           (S(Xx) =>
0.00/0.39	            (![X:(b > $o),Y:(b > $o)]:
0.00/0.39	               ((P(X,Y) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) =>
0.00/0.39	                (![Xx0:b]: (Y(Xx0) => Xx(Xx0))))))) =>
0.00/0.39	        (![X:(b > $o),Y:(b > $o)]:
0.00/0.39	           ((P(X,Y) & 
0.00/0.39	             (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.00/0.39	            (![Xx:b]: (Y(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx))))))))))).
0.00/0.39	tff('0', plain, sk_S(sk_S0), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('1', plain, sk_P(sk_X, sk_Y),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('2', plain, sk_Y(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('3', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o]:
0.00/0.39	      (~ X0(X1) | X2(X1) | ~ sk_P(X3, X0) | X3(sk_Xx0(X3, X2)) | ~ sk_S(X2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('4', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o, 
0.00/0.39	      X5 : b > $o, X6 : b > $o]:
0.00/0.39	      (X6 != X2
0.00/0.39	       | X5 != X3
0.00/0.39	       | X4 != X0
0.00/0.39	       | ~ X0(X1)
0.00/0.39	       | X2(X1)
0.00/0.39	       | ~ sk_P(X3, X4)
0.00/0.39	       | X5(sk_Xx0(X3, X6))
0.00/0.39	       | ~ sk_S(X6)),
0.00/0.39	    inference('ho.purify_applied_variable', [status(thm)], ['3'])).
0.00/0.39	tff('5', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ sk_S(X0)
0.00/0.39	       | X1(sk_Xx0(X2, X0))
0.00/0.39	       | ~ sk_P(X2, X3)
0.00/0.39	       | X4(sk_Xx)
0.00/0.39	       | X3 != sk_Y
0.00/0.39	       | X1 != X2
0.00/0.39	       | X0 != X4),
0.00/0.39	    inference('sup-', [status(thm)], ['2', '4'])).
0.00/0.39	tff('6', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (X0 != X4
0.00/0.39	       | X1 != X2
0.00/0.39	       | X3 != sk_Y
0.00/0.39	       | X4(sk_Xx)
0.00/0.39	       | ~ sk_P(X2, X3)
0.00/0.39	       | X1(sk_Xx0(X2, X0))
0.00/0.39	       | ~ sk_S(X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['5'])).
0.00/0.39	tff('7', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ sk_S(X0)
0.00/0.39	       | X1(sk_Xx0(sk_X, X0))
0.00/0.39	       | X2(sk_Xx)
0.00/0.39	       | sk_Y != sk_Y
0.00/0.39	       | X1 != sk_X
0.00/0.39	       | X0 != X2),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '6'])).
0.00/0.39	tff('8', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.39	      (X0 != X2 | X1 != sk_X | X2(sk_Xx) | X1(sk_Xx0(sk_X, X0)) | ~ sk_S(X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['7'])).
0.00/0.39	tff('9', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.39	      (X3 != X1
0.00/0.39	       | X0 != X2
0.00/0.39	       | X1 != sk_X
0.00/0.39	       | X2(sk_Xx)
0.00/0.39	       | X3(sk_Xx0(sk_X, X0))
0.00/0.39	       | ~ sk_S(X0)),
0.00/0.39	    inference('ho.purify_applied_variable', [status(thm)], ['8'])).
0.00/0.39	tff('10', plain, ![X4 : b > $o, X5 : b]: (~ sk_S(X4) | X4(X5) | ~ sk_X(X5)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('11', plain,
0.00/0.39	    ![X4 : b > $o, X5 : b, X6 : b > $o]:
0.00/0.39	      (X6 != X4 | ~ sk_S(X4) | X6(X5) | ~ sk_X(X5)),
0.00/0.39	    inference('ho.purify_applied_variable', [status(thm)], ['10'])).
0.00/0.39	tff('12', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ sk_S(X0)
0.00/0.39	       | X3(sk_Xx)
0.00/0.39	       | X4 != sk_X
0.00/0.39	       | X0 != X3
0.00/0.39	       | sk_X != X4
0.00/0.39	       | X1(sk_Xx0(sk_X, X0))
0.00/0.39	       | ~ sk_S(X2)
0.00/0.39	       | X1 != X2),
0.00/0.39	    inference('sup-', [status(thm)], ['9', '11'])).
0.00/0.39	tff('13', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (X1 != X2
0.00/0.39	       | ~ sk_S(X2)
0.00/0.39	       | X1(sk_Xx0(sk_X, X0))
0.00/0.39	       | X0 != X3
0.00/0.39	       | X4 != sk_X
0.00/0.39	       | X3(sk_Xx)
0.00/0.39	       | ~ sk_S(X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['12'])).
0.00/0.39	tff('14', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.39	      (~ sk_S(X0)
0.00/0.39	       | X1(sk_Xx)
0.00/0.39	       | X0 != X1
0.00/0.39	       | X2(sk_Xx0(sk_X, X0))
0.00/0.39	       | ~ sk_S(X3)
0.00/0.39	       | X2 != X3),
0.00/0.39	    inference('eq_res', [status(thm)], ['13'])).
0.00/0.39	tff('15', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o]:
0.00/0.39	      (~ X0(X1) | X2(X1) | ~ sk_P(X3, X0) | ~ X2(sk_Xx0(X3, X2)) | ~ sk_S(X2)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('16', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o, 
0.00/0.39	      X5 : b > $o, X6 : b > $o]:
0.00/0.39	      (X6 != X2
0.00/0.39	       | X5 != X2
0.00/0.39	       | X4 != X0
0.00/0.39	       | ~ X0(X1)
0.00/0.39	       | X2(X1)
0.00/0.39	       | ~ sk_P(X3, X4)
0.00/0.39	       | ~ X5(sk_Xx0(X3, X6))
0.00/0.39	       | ~ sk_S(X6)),
0.00/0.39	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
0.00/0.39	tff('17', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ sk_S(X0)
0.00/0.39	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.39	       | ~ sk_P(X2, X3)
0.00/0.39	       | X4(sk_Xx)
0.00/0.39	       | X3 != sk_Y
0.00/0.39	       | X1 != X4
0.00/0.39	       | X0 != X4),
0.00/0.39	    inference('sup-', [status(thm)], ['2', '16'])).
0.00/0.39	tff('18', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (X0 != X4
0.00/0.39	       | X1 != X4
0.00/0.39	       | X3 != sk_Y
0.00/0.39	       | X4(sk_Xx)
0.00/0.39	       | ~ sk_P(X2, X3)
0.00/0.39	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.39	       | ~ sk_S(X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['17'])).
0.00/0.39	tff('19', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.39	      (~ sk_S(X0)
0.00/0.39	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.39	       | ~ sk_P(X2, sk_Y)
0.00/0.39	       | X3(sk_Xx)
0.00/0.39	       | X1 != X3
0.00/0.39	       | X0 != X3),
0.00/0.39	    inference('eq_res', [status(thm)], ['18'])).
0.00/0.39	tff('20', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | X0 != X3
0.00/0.39	       | ~ sk_S(X3)
0.00/0.39	       | X1 != X4
0.00/0.39	       | X4(sk_Xx)
0.00/0.39	       | ~ sk_S(X1)
0.00/0.39	       | X1 != X2
0.00/0.39	       | X0 != X2
0.00/0.39	       | X2(sk_Xx)
0.00/0.39	       | ~ sk_P(sk_X, sk_Y)
0.00/0.39	       | ~ sk_S(X1)),
0.00/0.39	    inference('sup-', [status(thm)], ['14', '19'])).
0.00/0.39	tff('21', plain,
0.00/0.39	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.39	      (~ $true
0.00/0.39	       | X0 != X3
0.00/0.39	       | ~ sk_S(X3)
0.00/0.39	       | X1 != X4
0.00/0.39	       | X4(sk_Xx)
0.00/0.40	       | ~ sk_S(X1)
0.00/0.40	       | X1 != X2
0.00/0.40	       | X0 != X2
0.00/0.40	       | X2(sk_Xx)
0.00/0.40	       | ~ $true
0.00/0.40	       | ~ sk_S(X1)),
0.00/0.40	    inference('demod', [status(thm)], ['20', '1'])).
0.00/0.40	tff('22', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.40	      (X2(sk_Xx)
0.00/0.40	       | X0 != X2
0.00/0.40	       | X1 != X2
0.00/0.40	       | ~ sk_S(X1)
0.00/0.40	       | X4(sk_Xx)
0.00/0.40	       | X1 != X4
0.00/0.40	       | ~ sk_S(X3)
0.00/0.40	       | X0 != X3),
0.00/0.40	    inference('simplify', [status(thm)], ['21'])).
0.00/0.40	tff('23', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.40	      (~ $true
0.00/0.40	       | X1 != X2
0.00/0.40	       | ~ sk_S(X2)
0.00/0.40	       | X3 != X0
0.00/0.40	       | X0(sk_Xx)
0.00/0.40	       | ~ sk_S(X3)
0.00/0.40	       | X3 != X0
0.00/0.40	       | X1 != X0),
0.00/0.40	    inference('eq_fact', [status(thm)], ['22'])).
0.00/0.40	tff('24', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.40	      (X1 != X0 | ~ sk_S(X3) | X0(sk_Xx) | X3 != X0 | ~ sk_S(X2) | X1 != X2),
0.00/0.40	    inference('simplify', [status(thm)], ['23'])).
0.00/0.40	tff('25', plain, ~ sk_S0(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('26', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.40	      (~ $true
0.00/0.40	       | X0 != X1
0.00/0.40	       | ~ sk_S(X1)
0.00/0.40	       | X2 != sk_S0
0.00/0.40	       | ~ sk_S(X2)
0.00/0.40	       | X0 != sk_S0),
0.00/0.40	    inference('sup-', [status(thm)], ['24', '25'])).
0.00/0.40	tff('27', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.40	      (X0 != sk_S0 | ~ sk_S(X2) | X2 != sk_S0 | ~ sk_S(X1) | X0 != X1),
0.00/0.40	    inference('simplify', [status(thm)], ['26'])).
0.00/0.40	tff('28', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o]:
0.00/0.40	      (X0 != X1 | ~ sk_S(X1) | ~ sk_S(sk_S0) | X0 != sk_S0),
0.00/0.40	    inference('eq_res', [status(thm)], ['27'])).
0.00/0.40	tff('29', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o]:
0.00/0.40	      (X0 != X1 | ~ sk_S(X1) | ~ $true | X0 != sk_S0),
0.00/0.40	    inference('demod', [status(thm)], ['28', '0'])).
0.00/0.40	tff('30', plain,
0.00/0.40	    ![X0 : b > $o, X1 : b > $o]: (X0 != sk_S0 | ~ sk_S(X1) | X0 != X1),
0.00/0.40	    inference('simplify', [status(thm)], ['29'])).
0.00/0.40	tff('31', plain, ![X0 : b > $o]: (~ $true | X0 != sk_S0 | X0 != sk_S0),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '30'])).
0.00/0.40	tff('32', plain, ![X0 : b > $o]: X0 != sk_S0,
0.00/0.40	    inference('simplify', [status(thm)], ['31'])).
0.00/0.40	tff('33', plain, $false, inference('eq_res', [status(thm)], ['32'])).
0.00/0.40	
0.00/0.40	% SZS output end Refutation
0.00/0.40	EOF
