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
0.00/0.20	% Computer   : n150.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 17:56:38 CST 2018
2.87/3.06	% done 1285 iterations in 2.859s
2.87/3.06	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
2.87/3.06	% SZS output start Refutation
2.87/3.07	tff(cTHM251B_pme, conjecture,
2.87/3.07	  (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
2.87/3.07	     ((![Xq:(a > $o)]:
2.87/3.07	         (((![Xu:a,Xv:a]: (((S(Xu,Xv) | R(Xu,Xv)) & Xq(Xu)) => Xq(Xv))) & 
2.87/3.07	           (![Xw:a]: ((S(Xx,Xw) | R(Xx,Xw)) => Xq(Xw)))) =>
2.87/3.07	          Xq(Xy))) =>
2.87/3.07	      (![Xq:(a > $o)]:
2.87/3.07	         (((![Xu:a,Xv:a]:
2.87/3.07	              ((((![Xq0:(a > $o)]:
2.87/3.07	                    (((![Xu0:a,Xv0:a]: ((S(Xu0,Xv0) & Xq0(Xu0)) => Xq0(Xv0))) & 
2.87/3.07	                      (![Xw:a]: (S(Xu,Xw) => Xq0(Xw)))) =>
2.87/3.07	                     Xq0(Xv))) | 
2.87/3.07	                 (![Xq0:(a > $o)]:
2.87/3.07	                    (((![Xu0:a,Xv0:a]: ((R(Xu0,Xv0) & Xq0(Xu0)) => Xq0(Xv0))) & 
2.87/3.07	                      (![Xw:a]: (R(Xu,Xw) => Xq0(Xw)))) =>
2.87/3.07	                     Xq0(Xv)))) & 
2.87/3.07	                Xq(Xu)) =>
2.87/3.07	               Xq(Xv))) & 
2.87/3.07	           (![Xw:a]:
2.87/3.07	              (((![Xq0:(a > $o)]:
2.87/3.07	                   (((![Xu:a,Xv:a]: ((S(Xu,Xv) & Xq0(Xu)) => Xq0(Xv))) & 
2.87/3.07	                     (![Xw0:a]: (S(Xx,Xw0) => Xq0(Xw0)))) =>
2.87/3.07	                    Xq0(Xw))) | 
2.87/3.07	                (![Xq0:(a > $o)]:
2.87/3.07	                   (((![Xu:a,Xv:a]: ((R(Xu,Xv) & Xq0(Xu)) => Xq0(Xv))) & 
2.87/3.07	                     (![Xw0:a]: (R(Xx,Xw0) => Xq0(Xw0)))) =>
2.87/3.07	                    Xq0(Xw)))) =>
2.87/3.07	               Xq(Xw)))) =>
2.87/3.07	          Xq(Xy)))))).
2.87/3.07	tff(zf_stmt_0, negated_conjecture,
2.87/3.07	  (~
2.87/3.07	    (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
2.87/3.07	       ((![Xq:(a > $o)]:
2.87/3.07	           (((![Xu:a,Xv:a]: (((S(Xu,Xv) | R(Xu,Xv)) & Xq(Xu)) => Xq(Xv))) & 
2.87/3.07	             (![Xw:a]: ((S(Xx,Xw) | R(Xx,Xw)) => Xq(Xw)))) =>
2.87/3.07	            Xq(Xy))) =>
2.87/3.07	        (![Xq:(a > $o)]:
2.87/3.07	           (((![Xu:a,Xv:a]:
2.87/3.07	                ((((![Xq0:(a > $o)]:
2.87/3.07	                      (((![Xu0:a,Xv0:a]:
2.87/3.07	                           ((S(Xu0,Xv0) & Xq0(Xu0)) => Xq0(Xv0))) & 
2.87/3.07	                        (![Xw:a]: (S(Xu,Xw) => Xq0(Xw)))) =>
2.87/3.07	                       Xq0(Xv))) | 
2.87/3.07	                   (![Xq0:(a > $o)]:
2.87/3.07	                      (((![Xu0:a,Xv0:a]:
2.87/3.07	                           ((R(Xu0,Xv0) & Xq0(Xu0)) => Xq0(Xv0))) & 
2.87/3.07	                        (![Xw:a]: (R(Xu,Xw) => Xq0(Xw)))) =>
2.87/3.07	                       Xq0(Xv)))) & 
2.87/3.07	                  Xq(Xu)) =>
2.87/3.07	                 Xq(Xv))) & 
2.87/3.07	             (![Xw:a]:
2.87/3.07	                (((![Xq0:(a > $o)]:
2.87/3.07	                     (((![Xu:a,Xv:a]: ((S(Xu,Xv) & Xq0(Xu)) => Xq0(Xv))) & 
2.87/3.07	                       (![Xw0:a]: (S(Xx,Xw0) => Xq0(Xw0)))) =>
2.87/3.07	                      Xq0(Xw))) | 
2.87/3.07	                  (![Xq0:(a > $o)]:
2.87/3.07	                     (((![Xu:a,Xv:a]: ((R(Xu,Xv) & Xq0(Xu)) => Xq0(Xv))) & 
2.87/3.07	                       (![Xw0:a]: (R(Xx,Xw0) => Xq0(Xw0)))) =>
2.87/3.07	                      Xq0(Xw)))) =>
2.87/3.07	                 Xq(Xw)))) =>
2.87/3.07	            Xq(Xy))))))).
2.87/3.07	tff('0', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X0(sk_Xu(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('1', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0
2.87/3.07	       | X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X1))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X1))
2.87/3.07	       | X0(sk_Xu(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
2.87/3.07	tff('2', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xu(X0), sk_Xv(X0))
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('3', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0
2.87/3.07	       | X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X1))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X1))
2.87/3.07	       | sk_S(sk_Xu(X1), sk_Xv(X1))
2.87/3.07	       | sk_R(sk_Xu(X1), sk_Xv(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
2.87/3.07	tff('4', plain,
2.87/3.07	    ![X8 : a, X9 : a, X13 : a]:
2.87/3.07	      (~ sk_Xq(X8) | ~ sk_S(X8, X13) | sk_Xq02(X9, X8, X13) | sk_Xq(X9)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('5', plain,
2.87/3.07	    ![X8 : a, X9 : a]: (~ sk_Xq(X8) | ~ sk_Xq02(X9, X8, X9) | sk_Xq(X9)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('6', plain,
2.87/3.07	    ![X0 : a, X1 : a]:
2.87/3.07	      (~ $true
2.87/3.07	       | sk_Xq(X0)
2.87/3.07	       | ~ sk_S(X1, X0)
2.87/3.07	       | ~ sk_Xq(X1)
2.87/3.07	       | sk_Xq(X0)
2.87/3.07	       | ~ sk_Xq(X1)),
2.87/3.07	    inference('sup-', [status(thm)], ['4', '5'])).
2.87/3.07	tff('7', plain,
2.87/3.07	    ![X0 : a, X1 : a]: (~ sk_Xq(X1) | ~ sk_S(X1, X0) | sk_Xq(X0)),
2.87/3.07	    inference('simplify', [status(thm)], ['6'])).
2.87/3.07	tff('8', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['3', '7'])).
2.87/3.07	tff('9', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['8'])).
2.87/3.07	tff('10', plain,
2.87/3.07	    ![X8 : a, X9 : a, X10 : a]:
2.87/3.07	      (~ sk_Xq(X8) | ~ sk_R(X8, X10) | sk_Xq03(X9, X8, X10) | sk_Xq(X9)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('11', plain,
2.87/3.07	    ![X8 : a, X9 : a]: (~ sk_Xq(X8) | ~ sk_Xq03(X9, X8, X9) | sk_Xq(X9)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('12', plain,
2.87/3.07	    ![X0 : a, X1 : a]:
2.87/3.07	      (~ $true
2.87/3.07	       | sk_Xq(X0)
2.87/3.07	       | ~ sk_R(X1, X0)
2.87/3.07	       | ~ sk_Xq(X1)
2.87/3.07	       | sk_Xq(X0)
2.87/3.07	       | ~ sk_Xq(X1)),
2.87/3.07	    inference('sup-', [status(thm)], ['10', '11'])).
2.87/3.07	tff('13', plain,
2.87/3.07	    ![X0 : a, X1 : a]: (~ sk_Xq(X1) | ~ sk_R(X1, X0) | sk_Xq(X0)),
2.87/3.07	    inference('simplify', [status(thm)], ['12'])).
2.87/3.07	tff('14', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('clc', [status(thm)], ['9', '13'])).
2.87/3.07	tff('15', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | ~ X0(sk_Xv(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('16', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0
2.87/3.07	       | X0(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X1))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X1))
2.87/3.07	       | ~ X0(sk_Xv(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
2.87/3.07	tff('17', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | X0 != sk_Xq),
2.87/3.07	    inference('sup-', [status(thm)], ['14', '16'])).
2.87/3.07	tff('18', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X0 != sk_Xq
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['17'])).
2.87/3.07	tff('19', plain, ~ sk_Xq(sk_Xy), inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('20', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq),
2.87/3.07	    inference('clc', [status(thm)], ['18', '19'])).
2.87/3.07	tff('21', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1),
2.87/3.07	    inference('sup-', [status(thm)], ['1', '20'])).
2.87/3.07	tff('22', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['21'])).
2.87/3.07	tff('23', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (sk_S(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1),
2.87/3.07	    inference('clc', [status(thm)], ['22', '19'])).
2.87/3.07	tff('24', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | sk_R(sk_Xx, sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xx, sk_Xw(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['23', '19'])).
2.87/3.07	tff('25', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (sk_S(sk_Xx, sk_Xw(X0)) | sk_R(sk_Xx, sk_Xw(X0)) | X0 != sk_Xq),
2.87/3.07	    inference('simplify', [status(thm)], ['24'])).
2.87/3.07	tff('26', plain,
2.87/3.07	    ![X1 : a, X4 : a]: (sk_Xq(X1) | sk_Xq0(X1, X4) | ~ sk_S(sk_Xx, X4)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('27', plain, ![X1 : a]: (sk_Xq(X1) | ~ sk_Xq0(X1, X1)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('28', plain,
2.87/3.07	    ![X0 : a]: (~ $true | ~ sk_S(sk_Xx, X0) | sk_Xq(X0) | sk_Xq(X0)),
2.87/3.07	    inference('sup-', [status(thm)], ['26', '27'])).
2.87/3.07	tff('29', plain, ![X0 : a]: (sk_Xq(X0) | ~ sk_S(sk_Xx, X0)),
2.87/3.07	    inference('simplify', [status(thm)], ['28'])).
2.87/3.07	tff('30', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (~ $true | X0 != sk_Xq | sk_R(sk_Xx, sk_Xw(X0)) | sk_Xq(sk_Xw(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['25', '29'])).
2.87/3.07	tff('31', plain,
2.87/3.07	    ![X0 : a > $o]: (sk_Xq(sk_Xw(X0)) | sk_R(sk_Xx, sk_Xw(X0)) | X0 != sk_Xq),
2.87/3.07	    inference('simplify', [status(thm)], ['30'])).
2.87/3.07	tff('32', plain,
2.87/3.07	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | X0(sk_Xu(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('33', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0 | X0(sk_Xy) | ~ X0(sk_Xw(X1)) | X0(sk_Xu(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['32'])).
2.87/3.07	tff('34', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (X0(sk_Xy)
2.87/3.07	       | ~ X0(sk_Xw(X0))
2.87/3.07	       | sk_S(sk_Xu(X0), sk_Xv(X0))
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('35', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0
2.87/3.07	       | X0(sk_Xy)
2.87/3.07	       | ~ X0(sk_Xw(X1))
2.87/3.07	       | sk_S(sk_Xu(X1), sk_Xv(X1))
2.87/3.07	       | sk_R(sk_Xu(X1), sk_Xv(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['34'])).
2.87/3.07	tff('36', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['35', '7'])).
2.87/3.07	tff('37', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | sk_R(sk_Xu(X0), sk_Xv(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['36'])).
2.87/3.07	tff('38', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ X1(sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | sk_Xq(sk_Xv(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('clc', [status(thm)], ['37', '13'])).
2.87/3.07	tff('39', plain,
2.87/3.07	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | ~ X0(sk_Xv(X0))),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('40', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X1 != X0 | X0(sk_Xy) | ~ X0(sk_Xw(X1)) | ~ X0(sk_Xv(X1))),
2.87/3.07	    inference('ho.purify_applied_variable', [status(thm)], ['39'])).
2.87/3.07	tff('41', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | X0 != sk_Xq),
2.87/3.07	    inference('sup-', [status(thm)], ['38', '40'])).
2.87/3.07	tff('42', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X0 != sk_Xq
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1
2.87/3.07	       | ~ sk_Xq(sk_Xu(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['41'])).
2.87/3.07	tff('43', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ sk_Xq(sk_Xu(X0))
2.87/3.07	       | X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq),
2.87/3.07	    inference('clc', [status(thm)], ['42', '19'])).
2.87/3.07	tff('44', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1),
2.87/3.07	    inference('sup-', [status(thm)], ['33', '43'])).
2.87/3.07	tff('45', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (X0 != X1
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | sk_Xq(sk_Xy)
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))),
2.87/3.07	    inference('simplify', [status(thm)], ['44'])).
2.87/3.07	tff('46', plain,
2.87/3.07	    ![X0 : a > $o, X1 : a > $o]:
2.87/3.07	      (~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | ~ X1(sk_Xw(X0))
2.87/3.07	       | X1(sk_Xy)
2.87/3.07	       | X0 != X1),
2.87/3.07	    inference('clc', [status(thm)], ['45', '19'])).
2.87/3.07	tff('47', plain,
2.87/3.07	    ![X0 : a > $o]:
2.87/3.07	      (~ $true
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))
2.87/3.07	       | X0 != sk_Xq
2.87/3.07	       | ~ sk_Xq(sk_Xw(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['46', '19'])).
2.87/3.07	tff('48', plain, ![X0 : a > $o]: (~ sk_Xq(sk_Xw(X0)) | X0 != sk_Xq),
2.87/3.07	    inference('simplify', [status(thm)], ['47'])).
2.87/3.07	tff('49', plain, ![X0 : a > $o]: (X0 != sk_Xq | sk_R(sk_Xx, sk_Xw(X0))),
2.87/3.07	    inference('clc', [status(thm)], ['31', '48'])).
2.87/3.07	tff('50', plain,
2.87/3.07	    ![X1 : a, X7 : a]: (sk_Xq(X1) | sk_Xq01(X1, X7) | ~ sk_R(sk_Xx, X7)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('51', plain, ![X1 : a]: (sk_Xq(X1) | ~ sk_Xq01(X1, X1)),
2.87/3.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.87/3.07	tff('52', plain,
2.87/3.07	    ![X0 : a]: (~ $true | ~ sk_R(sk_Xx, X0) | sk_Xq(X0) | sk_Xq(X0)),
2.87/3.07	    inference('sup-', [status(thm)], ['50', '51'])).
2.87/3.07	tff('53', plain, ![X0 : a]: (sk_Xq(X0) | ~ sk_R(sk_Xx, X0)),
2.87/3.07	    inference('simplify', [status(thm)], ['52'])).
2.87/3.07	tff('54', plain, ![X0 : a > $o]: (~ $true | X0 != sk_Xq | sk_Xq(sk_Xw(X0))),
2.87/3.07	    inference('sup-', [status(thm)], ['49', '53'])).
2.87/3.07	tff('55', plain, ![X0 : a > $o]: (sk_Xq(sk_Xw(X0)) | X0 != sk_Xq),
2.87/3.07	    inference('simplify', [status(thm)], ['54'])).
2.87/3.07	tff('56', plain, ![X0 : a > $o]: X0 != sk_Xq,
2.87/3.07	    inference('clc', [status(thm)], ['55', '48'])).
2.87/3.07	tff('57', plain, $false, inference('eq_res', [status(thm)], ['56'])).
2.87/3.07	
2.87/3.07	% SZS output end Refutation
2.87/3.07	EOF
