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   : n138.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 17:51:39 CST 2018
0.91/1.14	% done 809 iterations in 0.938s
0.91/1.14	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.91/1.14	% SZS output start Refutation
0.96/1.14	tff(cTHM150_pme, conjecture,
0.96/1.14	  (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
0.96/1.14	     (((![Xq:(a > $o)]:
0.96/1.14	          (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	            (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.96/1.14	           Xq(Xz))) & 
0.96/1.14	       (![Xq:(a > $o)]:
0.96/1.14	          (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	            (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.96/1.14	           Xq(Xy)))) =>
0.96/1.14	      (![Xq:(a > $o)]:
0.96/1.14	         (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	           (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.96/1.14	          Xq(Xz)))))).
0.96/1.14	tff(zf_stmt_0, negated_conjecture,
0.96/1.14	  (~
0.96/1.14	    (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
0.96/1.14	       (((![Xq:(a > $o)]:
0.96/1.14	            (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	              (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.96/1.14	             Xq(Xz))) & 
0.96/1.14	         (![Xq:(a > $o)]:
0.96/1.14	            (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	              (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.96/1.14	             Xq(Xy)))) =>
0.96/1.14	        (![Xq:(a > $o)]:
0.96/1.14	           (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
0.96/1.14	             (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.96/1.14	            Xq(Xz))))))).
0.96/1.14	tff('0', plain,
0.96/1.14	    ![X3 : a > $o]:
0.96/1.14	      (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | sk_Xr(sk_Xu1(X3), sk_Xv1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('1', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3
0.96/1.14	       | X3(sk_Xz)
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X4))
0.96/1.14	       | sk_Xr(sk_Xu1(X4), sk_Xv1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.96/1.14	tff('2', plain,
0.96/1.14	    ![X3 : a > $o]: (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | X3(sk_Xu1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('3', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3 | X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X4)) | X3(sk_Xu1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.96/1.14	tff('4', plain,
0.96/1.14	    ![X0 : a, X1 : a]: (~ sk_Xq(X0) | ~ sk_Xr(X0, X1) | sk_Xq(X1)),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('5', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ $true
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X0), X1)),
0.96/1.14	    inference('sup-', [status(thm)], ['3', '4'])).
0.96/1.14	tff('6', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ sk_Xr(sk_Xu1(X0), X1)
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['5'])).
0.96/1.14	tff('7', plain, ~ sk_Xq(sk_Xz), inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('8', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X0), X1)),
0.96/1.14	    inference('clc', [status(thm)], ['6', '7'])).
0.96/1.14	tff('9', plain,
0.96/1.14	    ![X3 : a > $o]: (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | ~ X3(sk_Xv1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('10', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3 | X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X4)) | ~ X3(sk_Xv1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
0.96/1.14	tff('11', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X1))
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['8', '10'])).
0.96/1.14	tff('12', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X1))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['11'])).
0.96/1.14	tff('13', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X1))
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['12', '7'])).
0.96/1.14	tff('14', plain,
0.96/1.14	    ![X4 : a > $o]:
0.96/1.14	      (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | sk_Xr(sk_Xu(X4), sk_Xv(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('15', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4
0.96/1.14	       | X4(sk_Xy)
0.96/1.14	       | sk_Xr(sk_Xx, sk_Xw(X5))
0.96/1.14	       | sk_Xr(sk_Xu(X5), sk_Xv(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['14'])).
0.96/1.14	tff('16', plain, ![X2 : a]: (sk_Xq(X2) | ~ sk_Xr(sk_Xx, X2)),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('17', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | sk_Xr(sk_Xu(X0), sk_Xv(X0))
0.96/1.14	       | X1(sk_Xy)
0.96/1.14	       | X0 != X1
0.96/1.14	       | sk_Xq(sk_Xw(X0))),
0.96/1.14	    inference('sup-', [status(thm)], ['15', '16'])).
0.96/1.14	tff('18', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy) | sk_Xr(sk_Xu(X0), sk_Xv(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['17'])).
0.96/1.14	tff('19', plain,
0.96/1.14	    ![X4 : a > $o]: (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | X4(sk_Xu(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('20', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4 | X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X5)) | X4(sk_Xu(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['19'])).
0.96/1.14	tff('21', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true | X1(sk_Xu(X0)) | X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xw(X0))),
0.96/1.14	    inference('sup-', [status(thm)], ['20', '16'])).
0.96/1.14	tff('22', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy) | X1(sk_Xu(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['21'])).
0.96/1.14	tff('23', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ $true
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xw(X0))
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu(X0), X1)),
0.96/1.14	    inference('sup-', [status(thm)], ['22', '4'])).
0.96/1.14	tff('24', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ sk_Xr(sk_Xu(X0), X1)
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | sk_Xq(sk_Xw(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)),
0.96/1.14	    inference('simplify', [status(thm)], ['23'])).
0.96/1.14	tff('25', plain,
0.96/1.14	    ![X4 : a > $o]: (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | X4(sk_Xu(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('26', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | X4(sk_Xu(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['25'])).
0.96/1.14	tff('27', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xq(sk_Xw(X0))
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu(X0), X1)),
0.96/1.14	    inference('sup-', [status(thm)], ['26', '4'])).
0.96/1.14	tff('28', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ sk_Xr(sk_Xu(X0), X1)
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | ~ sk_Xq(sk_Xw(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['27'])).
0.96/1.14	tff('29', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (sk_Xq(sk_Xy) | X0 != sk_Xq | sk_Xq(X1) | ~ sk_Xr(sk_Xu(X0), X1)),
0.96/1.14	    inference('clc', [status(thm)], ['24', '28'])).
0.96/1.14	tff('30', plain,
0.96/1.14	    ![X4 : a > $o]: (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | ~ X4(sk_Xv(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('31', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4 | X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X5)) | ~ X4(sk_Xv(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['30'])).
0.96/1.14	tff('32', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true | ~ X1(sk_Xv(X0)) | X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xw(X0))),
0.96/1.14	    inference('sup-', [status(thm)], ['31', '16'])).
0.96/1.14	tff('33', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy) | ~ X1(sk_Xv(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['32'])).
0.96/1.14	tff('34', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xr(sk_Xu(X1), sk_Xv(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xw(X0))),
0.96/1.14	    inference('sup-', [status(thm)], ['29', '33'])).
0.96/1.14	tff('35', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xw(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xr(sk_Xu(X1), sk_Xv(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['34'])).
0.96/1.14	tff('36', plain,
0.96/1.14	    ![X4 : a > $o]: (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | ~ X4(sk_Xv(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('37', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | ~ X4(sk_Xv(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['36'])).
0.96/1.14	tff('38', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xr(sk_Xu(X1), sk_Xv(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | ~ sk_Xq(sk_Xw(X0))
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['29', '37'])).
0.96/1.14	tff('39', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (X0 != sk_Xq
0.96/1.14	       | ~ sk_Xq(sk_Xw(X0))
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xr(sk_Xu(X1), sk_Xv(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['38'])).
0.96/1.14	tff('40', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ sk_Xr(sk_Xu(X1), sk_Xv(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['35', '39'])).
0.96/1.14	tff('41', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | X1(sk_Xy)
0.96/1.14	       | X0 != X1
0.96/1.14	       | sk_Xq(sk_Xw(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['18', '40'])).
0.96/1.14	tff('42', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xy) | X0 != sk_Xq | sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy)),
0.96/1.14	    inference('simplify', [status(thm)], ['41'])).
0.96/1.14	tff('43', plain,
0.96/1.14	    ![X4 : a > $o]:
0.96/1.14	      (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | sk_Xr(sk_Xu(X4), sk_Xv(X4))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('44', plain,
0.96/1.14	    ![X4 : a > $o, X5 : a > $o]:
0.96/1.14	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | sk_Xr(sk_Xu(X5), sk_Xv(X5))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['43'])).
0.96/1.14	tff('45', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ X1(sk_Xw(X0))
0.96/1.14	       | X1(sk_Xy)
0.96/1.14	       | X0 != X1
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['44', '40'])).
0.96/1.14	tff('46', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xy) | X0 != sk_Xq | X0 != X1 | X1(sk_Xy) | ~ X1(sk_Xw(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['45'])).
0.96/1.14	tff('47', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | X1(sk_Xy)
0.96/1.14	       | X0 != X1
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | sk_Xq(sk_Xy)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xy)),
0.96/1.14	    inference('sup-', [status(thm)], ['42', '46'])).
0.96/1.14	tff('48', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (sk_Xq(sk_Xy) | X0 != sk_Xq | X0 != X1 | X1(sk_Xy)),
0.96/1.14	    inference('simplify', [status(thm)], ['47'])).
0.96/1.14	tff('49', plain,
0.96/1.14	    ![X0 : a > $o]: (~ $true | sk_Xq(sk_Xy) | X0 != sk_Xq | X0 != sk_Xq),
0.96/1.14	    inference('eq_fact', [status(thm)], ['48'])).
0.96/1.14	tff('50', plain, ![X0 : a > $o]: (X0 != sk_Xq | sk_Xq(sk_Xy)),
0.96/1.14	    inference('simplify', [status(thm)], ['49'])).
0.96/1.14	tff('51', plain, sk_Xq(sk_Xy), inference('eq_res', [status(thm)], ['50'])).
0.96/1.14	tff('52', plain, ![X0 : a]: (~ $true | sk_Xq(X0) | ~ sk_Xr(sk_Xy, X0)),
0.96/1.14	    inference('sup-', [status(thm)], ['51', '4'])).
0.96/1.14	tff('53', plain, ![X0 : a]: (~ sk_Xr(sk_Xy, X0) | sk_Xq(X0)),
0.96/1.14	    inference('simplify', [status(thm)], ['52'])).
0.96/1.14	tff('54', plain,
0.96/1.14	    ![X3 : a > $o]:
0.96/1.14	      (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | sk_Xr(sk_Xu1(X3), sk_Xv1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('55', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3
0.96/1.14	       | X3(sk_Xz)
0.96/1.14	       | ~ X3(sk_Xw1(X4))
0.96/1.14	       | sk_Xr(sk_Xu1(X4), sk_Xv1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['54'])).
0.96/1.14	tff('56', plain,
0.96/1.14	    ![X3 : a > $o]: (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | X3(sk_Xu1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('57', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3 | X3(sk_Xz) | ~ X3(sk_Xw1(X4)) | X3(sk_Xu1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['56'])).
0.96/1.14	tff('58', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X0), X1)),
0.96/1.14	    inference('sup-', [status(thm)], ['57', '4'])).
0.96/1.14	tff('59', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ sk_Xr(sk_Xu1(X0), X1)
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['58'])).
0.96/1.14	tff('60', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a]:
0.96/1.14	      (~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(X1)
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X0), X1)),
0.96/1.14	    inference('clc', [status(thm)], ['59', '7'])).
0.96/1.14	tff('61', plain,
0.96/1.14	    ![X3 : a > $o]: (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | ~ X3(sk_Xv1(X3))),
0.96/1.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.96/1.14	tff('62', plain,
0.96/1.14	    ![X3 : a > $o, X4 : a > $o]:
0.96/1.14	      (X4 != X3 | X3(sk_Xz) | ~ X3(sk_Xw1(X4)) | ~ X3(sk_Xv1(X4))),
0.96/1.14	    inference('ho.purify_applied_variable', [status(thm)], ['61'])).
0.96/1.14	tff('63', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X1))
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['60', '62'])).
0.96/1.14	tff('64', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X1))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['63'])).
0.96/1.14	tff('65', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X1))
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['64', '7'])).
0.96/1.14	tff('66', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ X1(sk_Xw1(X0))
0.96/1.14	       | X1(sk_Xz)
0.96/1.14	       | X0 != X1
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['55', '65'])).
0.96/1.14	tff('67', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | X0 != X1
0.96/1.14	       | X1(sk_Xz)
0.96/1.14	       | ~ X1(sk_Xw1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['66'])).
0.96/1.14	tff('68', plain,
0.96/1.14	    ![X0 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | ~ sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | ~ sk_Xq(sk_Xw1(X0))),
0.96/1.14	    inference('sup-', [status(thm)], ['53', '67'])).
0.96/1.14	tff('69', plain,
0.96/1.14	    ![X0 : a > $o]:
0.96/1.14	      (~ sk_Xq(sk_Xw1(X0))
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | sk_Xq(sk_Xz)
0.96/1.14	       | ~ sk_Xr(sk_Xy, sk_Xw1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['68'])).
0.96/1.14	tff('70', plain,
0.96/1.14	    ![X0 : a > $o]: (~ sk_Xr(sk_Xy, sk_Xw1(X0)) | sk_Xq(sk_Xz) | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['69', '53'])).
0.96/1.14	tff('71', plain, ![X0 : a > $o]: (X0 != sk_Xq | ~ sk_Xr(sk_Xy, sk_Xw1(X0))),
0.96/1.14	    inference('clc', [status(thm)], ['70', '7'])).
0.96/1.14	tff('72', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (X0 != sk_Xq
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | X1 != sk_Xq
0.96/1.14	       | ~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0))),
0.96/1.14	    inference('clc', [status(thm)], ['13', '71'])).
0.96/1.14	tff('73', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ sk_Xr(sk_Xu1(X1), sk_Xv1(X0)) | X1 != sk_Xq | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['72', '71'])).
0.96/1.14	tff('74', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (~ $true
0.96/1.14	       | sk_Xr(sk_Xy, sk_Xw1(X0))
0.96/1.14	       | X1(sk_Xz)
0.96/1.14	       | X0 != X1
0.96/1.14	       | X0 != sk_Xq
0.96/1.14	       | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['1', '73'])).
0.96/1.14	tff('75', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]:
0.96/1.14	      (X0 != sk_Xq | X0 != X1 | X1(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X0))),
0.96/1.14	    inference('simplify', [status(thm)], ['74'])).
0.96/1.14	tff('76', plain,
0.96/1.14	    ![X0 : a > $o, X1 : a > $o]: (X1(sk_Xz) | X0 != X1 | X0 != sk_Xq),
0.96/1.14	    inference('clc', [status(thm)], ['75', '71'])).
0.96/1.14	tff('77', plain, ![X0 : a > $o]: (~ $true | X0 != sk_Xq | X0 != sk_Xq),
0.96/1.14	    inference('sup-', [status(thm)], ['76', '7'])).
0.96/1.14	tff('78', plain, ![X0 : a > $o]: X0 != sk_Xq,
0.96/1.14	    inference('simplify', [status(thm)], ['77'])).
0.96/1.14	tff('79', plain, $false, inference('eq_res', [status(thm)], ['78'])).
0.96/1.14	
0.96/1.14	% SZS output end Refutation
0.96/1.14	EOF
