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   : n090.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
0.00/0.28	% done 99 iterations in 0.082s
0.00/0.28	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.28	% SZS output start Refutation
0.00/0.28	tff(cTHM565_pme, conjecture,
0.00/0.28	  (![P:((b > $o * b > $o) > $o),S:(b > $o > $o)]:
0.00/0.28	     ((![Xx:(b > $o)]:
0.00/0.28	         (S(Xx) =>
0.00/0.28	          (![X:(b > $o),Y:(b > $o)]:
0.00/0.28	             ((P(X,Y) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) =>
0.00/0.28	              (![Xx0:b]: (Y(Xx0) => Xx(Xx0))))))) =>
0.00/0.28	      (![X:(b > $o),Y:(b > $o)]:
0.00/0.28	         ((P(X,Y) & (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.00/0.28	          (![Xx:b]: (Y(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))))))).
0.00/0.28	tff(zf_stmt_0, negated_conjecture,
0.00/0.28	  (~
0.00/0.28	    (![P:((b > $o * b > $o) > $o),S:(b > $o > $o)]:
0.00/0.28	       ((![Xx:(b > $o)]:
0.00/0.28	           (S(Xx) =>
0.00/0.28	            (![X:(b > $o),Y:(b > $o)]:
0.00/0.28	               ((P(X,Y) & (![Xx0:b]: (X(Xx0) => Xx(Xx0)))) =>
0.00/0.28	                (![Xx0:b]: (Y(Xx0) => Xx(Xx0))))))) =>
0.00/0.28	        (![X:(b > $o),Y:(b > $o)]:
0.00/0.28	           ((P(X,Y) & 
0.00/0.28	             (![Xx:b]: (X(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx)))))) =>
0.00/0.28	            (![Xx:b]: (Y(Xx) => (![S0:(b > $o)]: (S(S0) => S0(Xx))))))))))).
0.00/0.28	tff('0', plain, sk_P(sk_X, sk_Y),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('1', plain, sk_Y(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('2', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ X0(X1) | X2(X1) | ~ sk_P(X3, X0) | X3(sk_Xx0(X3, X2)) | ~ sk_S(X2)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('3', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o, 
0.00/0.28	      X5 : b > $o, X6 : b > $o]:
0.00/0.28	      (X6 != X2
0.00/0.28	       | X5 != X3
0.00/0.28	       | X4 != X0
0.00/0.28	       | ~ X0(X1)
0.00/0.28	       | X2(X1)
0.00/0.28	       | ~ sk_P(X3, X4)
0.00/0.28	       | X5(sk_Xx0(X3, X6))
0.00/0.28	       | ~ sk_S(X6)),
0.00/0.28	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.28	tff('4', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ sk_S(X0)
0.00/0.28	       | X1(sk_Xx0(X2, X0))
0.00/0.28	       | ~ sk_P(X2, X3)
0.00/0.28	       | X4(sk_Xx)
0.00/0.28	       | X3 != sk_Y
0.00/0.28	       | X1 != X2
0.00/0.28	       | X0 != X4),
0.00/0.28	    inference('sup-', [status(thm)], ['1', '3'])).
0.00/0.28	tff('5', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.28	      (X0 != X4
0.00/0.28	       | X1 != X2
0.00/0.28	       | X3 != sk_Y
0.00/0.28	       | X4(sk_Xx)
0.00/0.28	       | ~ sk_P(X2, X3)
0.00/0.28	       | X1(sk_Xx0(X2, X0))
0.00/0.28	       | ~ sk_S(X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['4'])).
0.00/0.28	tff('6', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ sk_S(X0)
0.00/0.28	       | X1(sk_Xx0(sk_X, X0))
0.00/0.28	       | X2(sk_Xx)
0.00/0.28	       | sk_Y != sk_Y
0.00/0.28	       | X1 != sk_X
0.00/0.28	       | X0 != X2),
0.00/0.28	    inference('sup-', [status(thm)], ['0', '5'])).
0.00/0.28	tff('7', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.28	      (X0 != X2 | X1 != sk_X | X2(sk_Xx) | X1(sk_Xx0(sk_X, X0)) | ~ sk_S(X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['6'])).
0.00/0.28	tff('8', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (X3 != X1
0.00/0.28	       | X0 != X2
0.00/0.28	       | X1 != sk_X
0.00/0.28	       | X2(sk_Xx)
0.00/0.28	       | X3(sk_Xx0(sk_X, X0))
0.00/0.28	       | ~ sk_S(X0)),
0.00/0.28	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
0.00/0.28	tff('9', plain, ![X4 : b > $o, X5 : b]: (~ sk_S(X4) | X4(X5) | ~ sk_X(X5)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('10', plain,
0.00/0.28	    ![X4 : b > $o, X5 : b, X6 : b > $o]:
0.00/0.28	      (X6 != X4 | ~ sk_S(X4) | X6(X5) | ~ sk_X(X5)),
0.00/0.28	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
0.00/0.28	tff('11', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ sk_S(X0)
0.00/0.28	       | X3(sk_Xx)
0.00/0.28	       | X4 != sk_X
0.00/0.28	       | X0 != X3
0.00/0.28	       | sk_X != X4
0.00/0.28	       | X1(sk_Xx0(sk_X, X0))
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X1 != X2),
0.00/0.28	    inference('sup-', [status(thm)], ['8', '10'])).
0.00/0.28	tff('12', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o, X4 : b > $o]:
0.00/0.28	      (X1 != X2
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X1(sk_Xx0(sk_X, X0))
0.00/0.28	       | X0 != X3
0.00/0.28	       | X4 != sk_X
0.00/0.28	       | X3(sk_Xx)
0.00/0.28	       | ~ sk_S(X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['11'])).
0.00/0.28	tff('13', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ sk_S(X0)
0.00/0.28	       | X1(sk_Xx)
0.00/0.28	       | X0 != X1
0.00/0.28	       | X2(sk_Xx0(sk_X, X0))
0.00/0.28	       | ~ sk_S(X3)
0.00/0.28	       | X2 != X3),
0.00/0.28	    inference('eq_res', [status(thm)], ['12'])).
0.00/0.28	tff('14', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ X0(X1) | X2(X1) | ~ sk_P(X3, X0) | ~ X2(sk_Xx0(X3, X2)) | ~ sk_S(X2)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('15', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b, X2 : b > $o, X3 : b > $o, X4 : b > $o, X5 : b > $o]:
0.00/0.28	      (X5 != X2
0.00/0.28	       | X4 != X0
0.00/0.28	       | ~ X0(X1)
0.00/0.28	       | X2(X1)
0.00/0.28	       | ~ sk_P(X3, X4)
0.00/0.28	       | ~ X2(sk_Xx0(X3, X5))
0.00/0.28	       | ~ sk_S(X5)),
0.00/0.28	    inference('ho.purify_applied_variable', [status(thm)], ['14'])).
0.00/0.28	tff('16', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ sk_S(X0)
0.00/0.28	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.28	       | ~ sk_P(X2, X3)
0.00/0.28	       | X1(sk_Xx)
0.00/0.28	       | X3 != sk_Y
0.00/0.28	       | X0 != X1),
0.00/0.28	    inference('sup-', [status(thm)], ['1', '15'])).
0.00/0.28	tff('17', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (X0 != X1
0.00/0.28	       | X3 != sk_Y
0.00/0.28	       | X1(sk_Xx)
0.00/0.28	       | ~ sk_P(X2, X3)
0.00/0.28	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.28	       | ~ sk_S(X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['16'])).
0.00/0.28	tff('18', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.28	      (~ sk_S(X0)
0.00/0.28	       | ~ X1(sk_Xx0(X2, X0))
0.00/0.28	       | ~ sk_P(X2, sk_Y)
0.00/0.28	       | X1(sk_Xx)
0.00/0.28	       | X0 != X1),
0.00/0.28	    inference('eq_res', [status(thm)], ['17'])).
0.00/0.28	tff('19', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | X0 != X2
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X1 != X3
0.00/0.28	       | X3(sk_Xx)
0.00/0.28	       | ~ sk_S(X1)
0.00/0.28	       | X1 != X0
0.00/0.28	       | X0(sk_Xx)
0.00/0.28	       | ~ sk_P(sk_X, sk_Y)
0.00/0.28	       | ~ sk_S(X1)),
0.00/0.28	    inference('sup-', [status(thm)], ['13', '18'])).
0.00/0.28	tff('20', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | X0 != X2
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X1 != X3
0.00/0.28	       | X3(sk_Xx)
0.00/0.28	       | ~ sk_S(X1)
0.00/0.28	       | X1 != X0
0.00/0.28	       | X0(sk_Xx)
0.00/0.28	       | ~ $true
0.00/0.28	       | ~ sk_S(X1)),
0.00/0.28	    inference('demod', [status(thm)], ['19', '0'])).
0.00/0.28	tff('21', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o, X3 : b > $o]:
0.00/0.28	      (X0(sk_Xx)
0.00/0.28	       | X1 != X0
0.00/0.28	       | ~ sk_S(X1)
0.00/0.28	       | X3(sk_Xx)
0.00/0.28	       | X1 != X3
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X0 != X2),
0.00/0.28	    inference('simplify', [status(thm)], ['20'])).
0.00/0.28	tff('22', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.28	      (~ $true
0.00/0.28	       | X0 != X1
0.00/0.28	       | ~ sk_S(X1)
0.00/0.28	       | X2 != X0
0.00/0.28	       | X0(sk_Xx)
0.00/0.28	       | ~ sk_S(X2)
0.00/0.28	       | X2 != X0),
0.00/0.28	    inference('eq_fact', [status(thm)], ['21'])).
0.00/0.28	tff('23', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o, X2 : b > $o]:
0.00/0.28	      (~ sk_S(X2) | X0(sk_Xx) | X2 != X0 | ~ sk_S(X1) | X0 != X1),
0.00/0.28	    inference('simplify', [status(thm)], ['22'])).
0.00/0.28	tff('24', plain, ~ sk_S0(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('25', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o]:
0.00/0.28	      (~ $true | sk_S0 != X0 | ~ sk_S(X0) | X1 != sk_S0 | ~ sk_S(X1)),
0.00/0.28	    inference('sup-', [status(thm)], ['23', '24'])).
0.00/0.28	tff('26', plain,
0.00/0.28	    ![X0 : b > $o, X1 : b > $o]:
0.00/0.28	      (~ sk_S(X1) | X1 != sk_S0 | ~ sk_S(X0) | sk_S0 != X0),
0.00/0.28	    inference('simplify', [status(thm)], ['25'])).
0.00/0.28	tff('27', plain, ![X0 : b > $o]: (~ sk_S(sk_S0) | X0 != sk_S0 | ~ sk_S(X0)),
0.00/0.28	    inference('eq_res', [status(thm)], ['26'])).
0.00/0.28	tff('28', plain, sk_S(sk_S0), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('29', plain, ![X0 : b > $o]: (~ $true | X0 != sk_S0 | ~ sk_S(X0)),
0.00/0.28	    inference('demod', [status(thm)], ['27', '28'])).
0.00/0.28	tff('30', plain, ![X0 : b > $o]: (~ sk_S(X0) | X0 != sk_S0),
0.00/0.28	    inference('simplify', [status(thm)], ['29'])).
0.00/0.28	tff('31', plain, ~ sk_S(sk_S0), inference('eq_res', [status(thm)], ['30'])).
0.00/0.28	tff('32', plain, ~ $true, inference('demod', [status(thm)], ['31', '28'])).
0.00/0.28	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
0.00/0.28	
0.00/0.28	% SZS output end Refutation
0.00/0.28	EOF
