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    : 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 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
0.00/0.20	% Computer   : n064.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 17:51:53 CST 2018
0.00/0.42	% done 181 iterations in 0.210s
0.00/0.42	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.42	% SZS output start Refutation
0.00/0.42	tff(cTHM203_pme, conjecture,
0.00/0.42	  (![Xr:((a * a) > $o),T:(((a * a) > $o * a * a) > $o)]:
0.00/0.42	     (((![Xx:a,Xy:a]: (Xr(Xx,Xy) => T(Xr,Xx,Xy))) & 
0.00/0.42	       (![Xx:a,Xy:a,Xz:a]: ((T(Xr,Xy,Xz) & T(Xr,Xx,Xy)) => T(Xr,Xx,Xz))) & 
0.00/0.42	       (![Xx:a]: T(Xr,Xx,Xx))) =>
0.00/0.42	      (![Xx:a,Xy:a]:
0.00/0.42	         ((![Xx0:(a > $o)]:
0.00/0.42	             ((![Xy0:a,Xz:a]: ((Xx0(Xy0) & Xr(Xy0,Xz)) => Xx0(Xz))) =>
0.00/0.42	              (Xx0(Xx) => Xx0(Xy)))) =>
0.00/0.42	          T(Xr,Xx,Xy)))))).
0.00/0.42	tff(zf_stmt_0, negated_conjecture,
0.00/0.42	  (~
0.00/0.42	    (![Xr:((a * a) > $o),T:(((a * a) > $o * a * a) > $o)]:
0.00/0.42	       (((![Xx:a,Xy:a]: (Xr(Xx,Xy) => T(Xr,Xx,Xy))) & 
0.00/0.42	         (![Xx:a,Xy:a,Xz:a]: ((T(Xr,Xy,Xz) & T(Xr,Xx,Xy)) => T(Xr,Xx,Xz))) & 
0.00/0.42	         (![Xx:a]: T(Xr,Xx,Xx))) =>
0.00/0.42	        (![Xx:a,Xy:a]:
0.00/0.42	           ((![Xx0:(a > $o)]:
0.00/0.42	               ((![Xy0:a,Xz:a]: ((Xx0(Xy0) & Xr(Xy0,Xz)) => Xx0(Xz))) =>
0.00/0.42	                (Xx0(Xx) => Xx0(Xy)))) =>
0.00/0.42	            T(Xr,Xx,Xy))))))).
0.00/0.42	tff('0', plain, ![X5 : a]: sk_T(sk_Xr, X5, X5),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('1', plain,
0.00/0.42	    ![X6 : a > $o]: (~ X6(sk_Xx) | X6(sk_Xy) | sk_Xr(sk_Xy0(X6), sk_Xz(X6))),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('2', plain,
0.00/0.42	    ![X6 : a > $o, X7 : a > $o, X8 : a > $o]:
0.00/0.42	      (X8 != X6
0.00/0.42	       | X7 != X6
0.00/0.42	       | ~ X6(sk_Xx)
0.00/0.42	       | X7(sk_Xy)
0.00/0.42	       | sk_Xr(sk_Xy0(X8), sk_Xz(X8))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
0.00/0.42	tff('3', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | sk_Xr(sk_Xy0(X0), sk_Xz(X0))
0.00/0.42	       | X1(sk_Xy)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.42	tff('4', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1(sk_Xy)
0.00/0.42	       | sk_Xr(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.42	    inference('simplify', [status(thm)], ['3'])).
0.00/0.42	tff('5', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (X2 != X1
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2(sk_Xy)
0.00/0.42	       | sk_Xr(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
0.00/0.42	tff('6', plain, ~ sk_T(sk_Xr, sk_Xx, sk_Xy),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('7', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | sk_Xr(sk_Xy0(X0), sk_Xz(X0))
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, sk_Xx) != X1),
0.00/0.42	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.42	tff('8', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_Xr(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.42	    inference('simplify', [status(thm)], ['7'])).
0.00/0.42	tff('9', plain,
0.00/0.42	    ![X0 : a > $o]: (sk_Xr(sk_Xy0(X0), sk_Xz(X0)) | X0 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('condensation', [status(thm)], ['8'])).
0.00/0.42	tff('10', plain, ![X0 : a, X1 : a]: (sk_T(sk_Xr, X0, X1) | ~ sk_Xr(X0, X1)),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('11', plain, ![X6 : a > $o]: (~ X6(sk_Xx) | X6(sk_Xy) | X6(sk_Xy0(X6))),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('12', plain,
0.00/0.42	    ![X6 : a > $o, X7 : a > $o, X8 : a > $o, X9 : a > $o]:
0.00/0.42	      (X9 != X6
0.00/0.42	       | X8 != X6
0.00/0.42	       | X7 != X6
0.00/0.42	       | ~ X6(sk_Xx)
0.00/0.42	       | X7(sk_Xy)
0.00/0.42	       | X8(sk_Xy0(X9))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
0.00/0.42	tff('13', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | X0(sk_Xy0(X1))
0.00/0.42	       | X2(sk_Xy)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('sup-', [status(thm)], ['0', '12'])).
0.00/0.42	tff('14', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2(sk_Xy)
0.00/0.42	       | X0(sk_Xy0(X1))),
0.00/0.42	    inference('simplify', [status(thm)], ['13'])).
0.00/0.42	tff('15', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
0.00/0.42	      (X4 != X0
0.00/0.42	       | X3 != X2
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3(sk_Xy)
0.00/0.42	       | X4(sk_Xy0(X1))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['14'])).
0.00/0.42	tff('16', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | X0(sk_Xy0(X1))
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, sk_Xx) != X2
0.00/0.42	       | X0 != X3),
0.00/0.42	    inference('sup-', [status(thm)], ['15', '6'])).
0.00/0.42	tff('17', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
0.00/0.42	      (X0 != X3
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0(sk_Xy0(X1))),
0.00/0.42	    inference('simplify', [status(thm)], ['16'])).
0.00/0.42	tff('18', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (X0(sk_Xy0(X1))
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != X2),
0.00/0.42	    inference('eq_res', [status(thm)], ['17'])).
0.00/0.42	tff('19', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (X0 != X1 | X1 != sk_T(sk_Xr, sk_Xx) | X0(sk_Xy0(sk_T(sk_Xr, sk_Xx)))),
0.00/0.42	    inference('eq_res', [status(thm)], ['18'])).
0.00/0.42	tff('20', plain,
0.00/0.42	    ![X2 : a, X3 : a, X4 : a]:
0.00/0.42	      (~ sk_T(sk_Xr, X2, X3) | ~ sk_T(sk_Xr, X3, X4) | sk_T(sk_Xr, X2, X4)),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('21', plain,
0.00/0.42	    ![X0 : a, X1 : a, X2 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, X0) != X2
0.00/0.42	       | sk_T(sk_Xr, X0, X1)
0.00/0.42	       | ~ sk_T(sk_Xr, sk_Xy0(sk_T(sk_Xr, sk_Xx)), X1)),
0.00/0.42	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.42	tff('22', plain,
0.00/0.42	    ![X0 : a, X1 : a, X2 : a > $o]:
0.00/0.42	      (~ sk_T(sk_Xr, sk_Xy0(sk_T(sk_Xr, sk_Xx)), X1)
0.00/0.42	       | sk_T(sk_Xr, X0, X1)
0.00/0.42	       | sk_T(sk_Xr, X0) != X2
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('simplify', [status(thm)], ['21'])).
0.00/0.42	tff('23', plain,
0.00/0.42	    ![X0 : a, X1 : a > $o, X2 : a]:
0.00/0.42	      (~ $true
0.00/0.42	       | ~ sk_Xr(sk_Xy0(sk_T(sk_Xr, sk_Xx)), X0)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, X2) != X1
0.00/0.42	       | sk_T(sk_Xr, X2, X0)),
0.00/0.42	    inference('sup-', [status(thm)], ['10', '22'])).
0.00/0.42	tff('24', plain,
0.00/0.42	    ![X0 : a, X1 : a > $o, X2 : a]:
0.00/0.42	      (sk_T(sk_Xr, X2, X0)
0.00/0.42	       | sk_T(sk_Xr, X2) != X1
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | ~ sk_Xr(sk_Xy0(sk_T(sk_Xr, sk_Xx)), X0)),
0.00/0.42	    inference('simplify', [status(thm)], ['23'])).
0.00/0.42	tff('25', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a]:
0.00/0.42	      (~ $true
0.00/0.42	       | sk_T(sk_Xr, sk_Xx) != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, X1) != X0
0.00/0.42	       | sk_T(sk_Xr, X1, sk_Xz(sk_T(sk_Xr, sk_Xx)))),
0.00/0.42	    inference('sup-', [status(thm)], ['9', '24'])).
0.00/0.42	tff('26', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a]:
0.00/0.42	      (sk_T(sk_Xr, X1, sk_Xz(sk_T(sk_Xr, sk_Xx)))
0.00/0.42	       | sk_T(sk_Xr, X1) != X0
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('simplify', [status(thm)], ['25'])).
0.00/0.42	tff('27', plain, ![X6 : a > $o]: (~ X6(sk_Xx) | X6(sk_Xy) | ~ X6(sk_Xz(X6))),
0.00/0.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.42	tff('28', plain,
0.00/0.42	    ![X6 : a > $o, X7 : a > $o, X8 : a > $o, X9 : a > $o]:
0.00/0.42	      (X9 != X6
0.00/0.42	       | X8 != X6
0.00/0.42	       | X7 != X6
0.00/0.42	       | ~ X6(sk_Xx)
0.00/0.42	       | X7(sk_Xy)
0.00/0.42	       | ~ X8(sk_Xz(X9))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['27'])).
0.00/0.42	tff('29', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | ~ X0(sk_Xz(X1))
0.00/0.42	       | X2(sk_Xy)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)),
0.00/0.42	    inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.42	tff('30', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2(sk_Xy)
0.00/0.42	       | ~ X0(sk_Xz(X1))),
0.00/0.42	    inference('simplify', [status(thm)], ['29'])).
0.00/0.42	tff('31', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
0.00/0.42	      (X4 != X0
0.00/0.42	       | X3 != X2
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3(sk_Xy)
0.00/0.42	       | ~ X4(sk_Xz(X1))),
0.00/0.42	    inference('ho.purify_applied_variable', [status(thm)], ['30'])).
0.00/0.42	tff('32', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
0.00/0.42	      (~ $true
0.00/0.42	       | ~ X0(sk_Xz(X1))
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | sk_T(sk_Xr, sk_Xx) != X2
0.00/0.42	       | X0 != X3),
0.00/0.42	    inference('sup-', [status(thm)], ['31', '6'])).
0.00/0.42	tff('33', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
0.00/0.42	      (X0 != X3
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X3 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | ~ X0(sk_Xz(X1))),
0.00/0.42	    inference('simplify', [status(thm)], ['32'])).
0.00/0.42	tff('34', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
0.00/0.42	      (~ X0(sk_Xz(X1))
0.00/0.42	       | X2 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X1 != sk_T(sk_Xr, sk_Xx)
0.00/0.42	       | X0 != X2),
0.00/0.42	    inference('eq_res', [status(thm)], ['33'])).
0.00/0.42	tff('35', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a > $o]:
0.00/0.42	      (X0 != X1 | X1 != sk_T(sk_Xr, sk_Xx) | ~ X0(sk_Xz(sk_T(sk_Xr, sk_Xx)))),
0.00/0.42	    inference('eq_res', [status(thm)], ['34'])).
0.00/0.42	tff('36', plain,
0.00/0.42	    ![X0 : a > $o, X1 : a]:
0.00/0.42	      (X0 != sk_T(sk_Xr, sk_Xx) | sk_T(sk_Xr, X1) != X0),
0.00/0.42	    inference('clc', [status(thm)], ['26', '35'])).
0.00/0.42	tff('37', plain, ![X0 : a > $o]: X0 != sk_T(sk_Xr, sk_Xx),
0.00/0.42	    inference('condensation', [status(thm)], ['36'])).
0.00/0.42	tff('38', plain, $false, inference('eq_res', [status(thm)], ['37'])).
0.00/0.42	
0.00/0.42	% SZS output end Refutation
0.00/0.42	EOF
