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    : kbo
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   : n176.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 17:51:24 CST 2018
1.76/1.97	% done 1047 iterations in 1.766s
1.76/1.97	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.76/1.97	% SZS output start Refutation
1.76/1.97	tff(cTHM150_pme, conjecture,
1.76/1.97	  (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
1.76/1.97	     (((![Xq:(a > $o)]:
1.76/1.97	          (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	            (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
1.76/1.97	           Xq(Xz))) & 
1.76/1.97	       (![Xq:(a > $o)]:
1.76/1.97	          (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	            (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
1.76/1.97	           Xq(Xy)))) =>
1.76/1.97	      (![Xq:(a > $o)]:
1.76/1.97	         (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	           (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
1.76/1.97	          Xq(Xz)))))).
1.76/1.97	tff(zf_stmt_0, negated_conjecture,
1.76/1.97	  (~
1.76/1.97	    (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
1.76/1.97	       (((![Xq:(a > $o)]:
1.76/1.97	            (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	              (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
1.76/1.97	             Xq(Xz))) & 
1.76/1.97	         (![Xq:(a > $o)]:
1.76/1.97	            (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	              (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
1.76/1.97	             Xq(Xy)))) =>
1.76/1.97	        (![Xq:(a > $o)]:
1.76/1.97	           (((![Xu:a,Xv:a]: ((Xr(Xu,Xv) & Xq(Xu)) => Xq(Xv))) & 
1.76/1.97	             (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
1.76/1.97	            Xq(Xz))))))).
1.76/1.97	tff('0', plain,
1.76/1.97	    ![X3 : a > $o]: (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | X3(sk_Xu1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('1', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3 | X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X4)) | X3(sk_Xu1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
1.76/1.97	tff('2', plain,
1.76/1.97	    ![X0 : a, X1 : a]: (~ sk_Xq(X0) | ~ sk_Xr(X0, X1) | sk_Xq(X1)),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('3', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X1(sk_Xu1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)),
1.76/1.97	    inference('sup-', [status(thm)], ['1', '2'])).
1.76/1.97	tff('4', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X1(sk_Xu1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['3'])).
1.76/1.97	tff('5', plain,
1.76/1.97	    ![X3 : a > $o]:
1.76/1.97	      (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | sk_Xr(sk_Xu1(X3), sk_Xv1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('6', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3
1.76/1.97	       | X3(sk_Xz)
1.76/1.97	       | sk_Xr(sk_Xy, sk_Xw1(X4))
1.76/1.97	       | sk_Xr(sk_Xu1(X4), sk_Xv1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['5'])).
1.76/1.97	tff('7', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | sk_Xr(sk_Xy, sk_Xw1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['6', '2'])).
1.76/1.97	tff('8', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | sk_Xr(sk_Xy, sk_Xw1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['7'])).
1.76/1.97	tff('9', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)),
1.76/1.97	    inference('sup-', [status(thm)], ['8', '2'])).
1.76/1.97	tff('10', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)),
1.76/1.97	    inference('simplify', [status(thm)], ['9'])).
1.76/1.97	tff('11', plain,
1.76/1.97	    ![X3 : a > $o]: (X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X3)) | ~ X3(sk_Xv1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('12', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3 | X3(sk_Xz) | sk_Xr(sk_Xy, sk_Xw1(X4)) | ~ X3(sk_Xv1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
1.76/1.97	tff('13', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ X1(sk_Xv1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)),
1.76/1.97	    inference('sup-', [status(thm)], ['12', '2'])).
1.76/1.97	tff('14', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | ~ X1(sk_Xv1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['13'])).
1.76/1.97	tff('15', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)),
1.76/1.97	    inference('sup-', [status(thm)], ['10', '14'])).
1.76/1.97	tff('16', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | ~ sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)),
1.76/1.97	    inference('simplify', [status(thm)], ['15'])).
1.76/1.97	tff('17', plain,
1.76/1.97	    ![X4 : a > $o]:
1.76/1.97	      (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | sk_Xr(sk_Xu(X4), sk_Xv(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('18', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4
1.76/1.97	       | X4(sk_Xy)
1.76/1.97	       | sk_Xr(sk_Xx, sk_Xw(X5))
1.76/1.97	       | sk_Xr(sk_Xu(X5), sk_Xv(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['17'])).
1.76/1.97	tff('19', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | sk_Xr(sk_Xx, sk_Xw(X0))
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['18', '2'])).
1.76/1.97	tff('20', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | sk_Xr(sk_Xx, sk_Xw(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['19'])).
1.76/1.97	tff('21', plain, ![X2 : a]: (sk_Xq(X2) | ~ sk_Xr(sk_Xx, X2)),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('22', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xw(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['20', '21'])).
1.76/1.97	tff('23', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (sk_Xq(sk_Xw(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)),
1.76/1.97	    inference('simplify', [status(thm)], ['22'])).
1.76/1.97	tff('24', plain,
1.76/1.97	    ![X4 : a > $o]: (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | ~ X4(sk_Xv(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('25', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4 | X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X5)) | ~ X4(sk_Xv(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
1.76/1.97	tff('26', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true | ~ X1(sk_Xv(X0)) | X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xw(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['25', '21'])).
1.76/1.97	tff('27', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy) | ~ X1(sk_Xv(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['26'])).
1.76/1.97	tff('28', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xw(X0))
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xw(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['23', '27'])).
1.76/1.97	tff('29', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xw(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)),
1.76/1.97	    inference('simplify', [status(thm)], ['28'])).
1.76/1.97	tff('30', plain,
1.76/1.97	    ![X4 : a > $o]: (X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X4)) | X4(sk_Xu(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('31', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4 | X4(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X5)) | X4(sk_Xu(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['30'])).
1.76/1.97	tff('32', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true | X1(sk_Xu(X0)) | X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xw(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['31', '21'])).
1.76/1.97	tff('33', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (sk_Xq(sk_Xw(X0)) | X0 != X1 | X1(sk_Xy) | X1(sk_Xu(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['32'])).
1.76/1.97	tff('34', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xw(X0)) | sk_Xq(sk_Xy) | X0 != sk_Xq),
1.76/1.97	    inference('clc', [status(thm)], ['29', '33'])).
1.76/1.97	tff('35', plain,
1.76/1.97	    ![X4 : a > $o]: (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | X4(sk_Xu(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('36', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | X4(sk_Xu(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['35'])).
1.76/1.97	tff('37', plain,
1.76/1.97	    ![X4 : a > $o]:
1.76/1.97	      (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | sk_Xr(sk_Xu(X4), sk_Xv(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('38', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | sk_Xr(sk_Xu(X5), sk_Xv(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['37'])).
1.76/1.97	tff('39', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ X1(sk_Xw(X0))
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['38', '2'])).
1.76/1.97	tff('40', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xv(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | ~ X1(sk_Xw(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['39'])).
1.76/1.97	tff('41', plain,
1.76/1.97	    ![X4 : a > $o]: (X4(sk_Xy) | ~ X4(sk_Xw(X4)) | ~ X4(sk_Xv(X4))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('42', plain,
1.76/1.97	    ![X4 : a > $o, X5 : a > $o]:
1.76/1.97	      (X5 != X4 | X4(sk_Xy) | ~ X4(sk_Xw(X5)) | ~ X4(sk_Xv(X5))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['41'])).
1.76/1.97	tff('43', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ X1(sk_Xw(X0))
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xw(X0))
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('sup-', [status(thm)], ['40', '42'])).
1.76/1.97	tff('44', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | ~ sk_Xq(sk_Xw(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | ~ X1(sk_Xw(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['43'])).
1.76/1.97	tff('45', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ X1(sk_Xw(X0))
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu(X0))
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('clc', [status(thm)], ['44', '34'])).
1.76/1.97	tff('46', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ sk_Xq(sk_Xw(X0))
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | ~ X1(sk_Xw(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['36', '45'])).
1.76/1.97	tff('47', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ X1(sk_Xw(X0))
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | ~ sk_Xq(sk_Xw(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['46'])).
1.76/1.97	tff('48', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (sk_Xq(sk_Xy) | X0 != sk_Xq | X0 != X1 | X1(sk_Xy) | ~ X1(sk_Xw(X0))),
1.76/1.97	    inference('clc', [status(thm)], ['47', '34'])).
1.76/1.97	tff('49', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xy)
1.76/1.97	       | sk_Xq(sk_Xy)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xy)),
1.76/1.97	    inference('sup-', [status(thm)], ['34', '48'])).
1.76/1.97	tff('50', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X1(sk_Xy) | X0 != X1 | sk_Xq(sk_Xy) | X0 != sk_Xq),
1.76/1.97	    inference('simplify', [status(thm)], ['49'])).
1.76/1.97	tff('51', plain,
1.76/1.97	    ![X0 : a > $o]: (~ $true | X0 != sk_Xq | sk_Xq(sk_Xy) | X0 != sk_Xq),
1.76/1.97	    inference('eq_fact', [status(thm)], ['50'])).
1.76/1.97	tff('52', plain, ![X0 : a > $o]: (sk_Xq(sk_Xy) | X0 != sk_Xq),
1.76/1.97	    inference('simplify', [status(thm)], ['51'])).
1.76/1.97	tff('53', plain, sk_Xq(sk_Xy), inference('eq_res', [status(thm)], ['52'])).
1.76/1.97	tff('54', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | ~ $true
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)),
1.76/1.97	    inference('demod', [status(thm)], ['16', '53'])).
1.76/1.97	tff('55', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('simplify', [status(thm)], ['54'])).
1.76/1.97	tff('56', plain, ~ sk_Xq(sk_Xz), inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('57', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)),
1.76/1.97	    inference('clc', [status(thm)], ['55', '56'])).
1.76/1.97	tff('58', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xy)
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('sup-', [status(thm)], ['4', '57'])).
1.76/1.97	tff('59', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ $true
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('demod', [status(thm)], ['58', '53'])).
1.76/1.97	tff('60', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != X1 | X1(sk_Xz) | sk_Xq(sk_Xw1(X0)) | X0 != sk_Xq | sk_Xq(sk_Xz)),
1.76/1.97	    inference('simplify', [status(thm)], ['59'])).
1.76/1.97	tff('61', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq | sk_Xq(sk_Xw1(X0)) | X1(sk_Xz) | X0 != X1),
1.76/1.97	    inference('clc', [status(thm)], ['60', '56'])).
1.76/1.97	tff('62', plain,
1.76/1.97	    ![X3 : a > $o]: (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | X3(sk_Xu1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('63', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3 | X3(sk_Xz) | ~ X3(sk_Xw1(X4)) | X3(sk_Xu1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['62'])).
1.76/1.97	tff('64', plain,
1.76/1.97	    ![X3 : a > $o]:
1.76/1.97	      (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | sk_Xr(sk_Xu1(X3), sk_Xv1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('65', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3
1.76/1.97	       | X3(sk_Xz)
1.76/1.97	       | ~ X3(sk_Xw1(X4))
1.76/1.97	       | sk_Xr(sk_Xu1(X4), sk_Xv1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['64'])).
1.76/1.97	tff('66', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ X1(sk_Xw1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['65', '2'])).
1.76/1.97	tff('67', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | sk_Xq(sk_Xv1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | ~ X1(sk_Xw1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['66'])).
1.76/1.97	tff('68', plain,
1.76/1.97	    ![X3 : a > $o]: (X3(sk_Xz) | ~ X3(sk_Xw1(X3)) | ~ X3(sk_Xv1(X3))),
1.76/1.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.76/1.97	tff('69', plain,
1.76/1.97	    ![X3 : a > $o, X4 : a > $o]:
1.76/1.97	      (X4 != X3 | X3(sk_Xz) | ~ X3(sk_Xw1(X4)) | ~ X3(sk_Xv1(X4))),
1.76/1.97	    inference('ho.purify_applied_variable', [status(thm)], ['68'])).
1.76/1.97	tff('70', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ X1(sk_Xw1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('sup-', [status(thm)], ['67', '69'])).
1.76/1.97	tff('71', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | ~ X1(sk_Xw1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['70'])).
1.76/1.97	tff('72', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ X1(sk_Xw1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | ~ sk_Xq(sk_Xu1(X0))
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != sk_Xq),
1.76/1.97	    inference('clc', [status(thm)], ['71', '56'])).
1.76/1.97	tff('73', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | ~ X1(sk_Xw1(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['63', '72'])).
1.76/1.97	tff('74', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ X1(sk_Xw1(X0))
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))),
1.76/1.97	    inference('simplify', [status(thm)], ['73'])).
1.76/1.97	tff('75', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | ~ X1(sk_Xw1(X0))),
1.76/1.97	    inference('clc', [status(thm)], ['74', '56'])).
1.76/1.97	tff('76', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ $true
1.76/1.97	       | X0 != X1
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | ~ sk_Xq(sk_Xw1(X0))),
1.76/1.97	    inference('sup-', [status(thm)], ['61', '75'])).
1.76/1.97	tff('77', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (~ sk_Xq(sk_Xw1(X0))
1.76/1.97	       | sk_Xq(sk_Xz)
1.76/1.97	       | X0 != sk_Xq
1.76/1.97	       | X1(sk_Xz)
1.76/1.97	       | X0 != X1),
1.76/1.97	    inference('simplify', [status(thm)], ['76'])).
1.76/1.97	tff('78', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]:
1.76/1.97	      (X0 != X1 | X1(sk_Xz) | X0 != sk_Xq | sk_Xq(sk_Xz)),
1.76/1.97	    inference('clc', [status(thm)], ['77', '61'])).
1.76/1.97	tff('79', plain,
1.76/1.97	    ![X0 : a > $o, X1 : a > $o]: (X0 != sk_Xq | X1(sk_Xz) | X0 != X1),
1.76/1.97	    inference('clc', [status(thm)], ['78', '56'])).
1.76/1.97	tff('80', plain, ![X0 : a > $o]: (~ $true | X0 != sk_Xq | X0 != sk_Xq),
1.76/1.97	    inference('sup-', [status(thm)], ['79', '56'])).
1.76/1.97	tff('81', plain, ![X0 : a > $o]: X0 != sk_Xq,
1.76/1.97	    inference('simplify', [status(thm)], ['80'])).
1.76/1.97	tff('82', plain, $false, inference('eq_res', [status(thm)], ['81'])).
1.76/1.97	
1.76/1.97	% SZS output end Refutation
1.76/1.97	EOF
