0.00/0.00	% File    : /export/starexec/sandbox2/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   : n072.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 17:46:53 CST 2018
0.00/0.24	% done 46 iterations in 0.042s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(cTHM251F_pme, conjecture,
0.00/0.24	  (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.24	     ((![Xq1:((a * a) > $o)]:
0.00/0.24	         (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	              ((Xq1(Xy0,Xz) & Xq1(Xx0,Xy0)) => Xq1(Xx0,Xz))) & 
0.00/0.24	           (![Xs:a,Xt:a]: ((S(Xs,Xt) | R(Xs,Xt)) => Xq1(Xs,Xt)))) =>
0.00/0.24	          Xq1(Xx,Xy))) =>
0.00/0.24	      (![Xp1:((a * a) > $o)]:
0.00/0.24	         (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	              ((Xp1(Xy0,Xz) & Xp1(Xx0,Xy0)) => Xp1(Xx0,Xz))) & 
0.00/0.24	           (![Xss:a,Xtt:a]:
0.00/0.24	              (((![Xq3:((a * a) > $o)]:
0.00/0.24	                   (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                        ((Xq3(Xy0,Xz) & Xq3(Xx0,Xy0)) => Xq3(Xx0,Xz))) & 
0.00/0.24	                     (![Xssss:a,Xtttt:a]:
0.00/0.24	                        (S(Xssss,Xtttt) => Xq3(Xssss,Xtttt)))) =>
0.00/0.24	                    Xq3(Xss,Xtt))) | 
0.00/0.24	                (![Xq2:((a * a) > $o)]:
0.00/0.24	                   (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                        ((Xq2(Xy0,Xz) & Xq2(Xx0,Xy0)) => Xq2(Xx0,Xz))) & 
0.00/0.24	                     (![Xsss:a,Xttt:a]: (R(Xsss,Xttt) => Xq2(Xsss,Xttt)))) =>
0.00/0.24	                    Xq2(Xss,Xtt)))) =>
0.00/0.24	               Xp1(Xss,Xtt)))) =>
0.00/0.24	          Xp1(Xx,Xy)))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.24	       ((![Xq1:((a * a) > $o)]:
0.00/0.24	           (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                ((Xq1(Xy0,Xz) & Xq1(Xx0,Xy0)) => Xq1(Xx0,Xz))) & 
0.00/0.24	             (![Xs:a,Xt:a]: ((S(Xs,Xt) | R(Xs,Xt)) => Xq1(Xs,Xt)))) =>
0.00/0.24	            Xq1(Xx,Xy))) =>
0.00/0.24	        (![Xp1:((a * a) > $o)]:
0.00/0.24	           (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                ((Xp1(Xy0,Xz) & Xp1(Xx0,Xy0)) => Xp1(Xx0,Xz))) & 
0.00/0.24	             (![Xss:a,Xtt:a]:
0.00/0.24	                (((![Xq3:((a * a) > $o)]:
0.00/0.24	                     (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                          ((Xq3(Xy0,Xz) & Xq3(Xx0,Xy0)) => Xq3(Xx0,Xz))) & 
0.00/0.24	                       (![Xssss:a,Xtttt:a]:
0.00/0.24	                          (S(Xssss,Xtttt) => Xq3(Xssss,Xtttt)))) =>
0.00/0.24	                      Xq3(Xss,Xtt))) | 
0.00/0.24	                  (![Xq2:((a * a) > $o)]:
0.00/0.24	                     (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.24	                          ((Xq2(Xy0,Xz) & Xq2(Xx0,Xy0)) => Xq2(Xx0,Xz))) & 
0.00/0.24	                       (![Xsss:a,Xttt:a]: (R(Xsss,Xttt) => Xq2(Xsss,Xttt)))) =>
0.00/0.24	                      Xq2(Xss,Xtt)))) =>
0.00/0.24	                 Xp1(Xss,Xtt)))) =>
0.00/0.24	            Xp1(Xx,Xy))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | X0(sk_Xy0(X1), sk_Xz(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | X0(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X13 : a, X14 : a, X15 : a]:
0.00/0.24	      (~ sk_Xp1(X13, X14) | ~ sk_Xp1(X14, X15) | sk_Xp1(X13, X15)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (~ sk_Xp1(sk_Xy0(X0), X1)
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain, ~ sk_Xp1(sk_Xx, sk_Xy),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.24	    inference('clc', [status(thm)], ['6', '7'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['1', '8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | ~ X0(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | ~ X0(sk_Xx0(X1), sk_Xz(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | X0 != sk_Xp1),
0.00/0.24	    inference('clc', [status(thm)], ['10', '12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0 != sk_Xp1 | sk_R(sk_Xs(X0), sk_Xt(X0)) | sk_S(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('clc', [status(thm)], ['13', '7'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X1 : a, X2 : a, X6 : a, X7 : a]:
0.00/0.24	      (sk_Xp1(X1, X2) | sk_Xq3(X2, X1, X6, X7) | ~ sk_S(X6, X7)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xq3(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(X1, X2)),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a]:
0.00/0.24	      (sk_Xp1(X1, X2)
0.00/0.24	       | sk_Xq3(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_R(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X1 : a, X2 : a, X11 : a, X12 : a]:
0.00/0.24	      (sk_Xp1(X1, X2) | sk_Xq2(X2, X1, X11, X12) | ~ sk_R(X11, X12)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xq3(X4, X3, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(X3, X4)
0.00/0.24	       | sk_Xq2(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(X1, X2)),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a, X3 : a, X4 : a]:
0.00/0.24	      (sk_Xp1(X1, X2)
0.00/0.24	       | sk_Xq2(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(X3, X4)
0.00/0.24	       | sk_Xq3(X4, X3, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X1 : a, X2 : a]: (sk_Xp1(X1, X2) | ~ sk_Xq3(X2, X1, X1, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xq2(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(X1, X2)
0.00/0.24	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a]:
0.00/0.24	      (sk_Xp1(X1, X2)
0.00/0.24	       | sk_Xq2(X2, X1, sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | X0(sk_Xy0(X1), sk_Xz(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | X0(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['27', '4'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (~ sk_Xp1(sk_Xy0(X0), X1)
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.24	      (~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.24	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.24	    inference('clc', [status(thm)], ['29', '7'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['25', '30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.24	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | ~ X0(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.24	      (X1 != X0
0.00/0.24	       | X0(sk_Xx, sk_Xy)
0.00/0.24	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.24	       | ~ X0(sk_Xx0(X1), sk_Xz(X1))),
0.00/0.24	    inference('ho.purify_applied_variable', [status(thm)], ['33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (~ sk_Xp1(sk_Xs(X0), sk_Xt(X0)) | sk_Xp1(sk_Xx, sk_Xy) | X0 != sk_Xp1),
0.00/0.24	    inference('clc', [status(thm)], ['32', '34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X0 : (a * a) > $o]: (X0 != sk_Xp1 | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('clc', [status(thm)], ['35', '7'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X0 : (a * a) > $o, X1 : a, X2 : a]:
0.00/0.24	      (X0 != sk_Xp1 | sk_Xq2(X2, X1, sk_Xs(X0), sk_Xt(X0)) | sk_Xp1(X1, X2)),
0.00/0.24	    inference('clc', [status(thm)], ['23', '36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X1 : a, X2 : a]: (sk_Xp1(X1, X2) | ~ sk_Xq2(X2, X1, X1, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X0 : (a * a) > $o]:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.24	       | X0 != sk_Xp1
0.00/0.24	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['37', '38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ![X0 : (a * a) > $o]: (X0 != sk_Xp1 | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['39'])).
0.00/0.24	tff('41', plain, ![X0 : (a * a) > $o]: X0 != sk_Xp1,
0.00/0.24	    inference('clc', [status(thm)], ['40', '36'])).
0.00/0.24	tff('42', plain, $false, inference('eq_res', [status(thm)], ['41'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
