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   : n043.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 17:47:53 CST 2018
0.00/0.27	% done 66 iterations in 0.073s
0.00/0.27	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.27	% SZS output start Refutation
0.00/0.27	tff(cTHM251F_pme, conjecture,
0.00/0.27	  (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.27	     ((![Xq1:((a * a) > $o)]:
0.00/0.27	         (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	              ((Xq1(Xy0,Xz) & Xq1(Xx0,Xy0)) => Xq1(Xx0,Xz))) & 
0.00/0.27	           (![Xs:a,Xt:a]: ((S(Xs,Xt) | R(Xs,Xt)) => Xq1(Xs,Xt)))) =>
0.00/0.27	          Xq1(Xx,Xy))) =>
0.00/0.27	      (![Xp1:((a * a) > $o)]:
0.00/0.27	         (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	              ((Xp1(Xy0,Xz) & Xp1(Xx0,Xy0)) => Xp1(Xx0,Xz))) & 
0.00/0.27	           (![Xss:a,Xtt:a]:
0.00/0.27	              (((![Xq3:((a * a) > $o)]:
0.00/0.27	                   (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                        ((Xq3(Xy0,Xz) & Xq3(Xx0,Xy0)) => Xq3(Xx0,Xz))) & 
0.00/0.27	                     (![Xssss:a,Xtttt:a]:
0.00/0.27	                        (S(Xssss,Xtttt) => Xq3(Xssss,Xtttt)))) =>
0.00/0.27	                    Xq3(Xss,Xtt))) | 
0.00/0.27	                (![Xq2:((a * a) > $o)]:
0.00/0.27	                   (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                        ((Xq2(Xy0,Xz) & Xq2(Xx0,Xy0)) => Xq2(Xx0,Xz))) & 
0.00/0.27	                     (![Xsss:a,Xttt:a]: (R(Xsss,Xttt) => Xq2(Xsss,Xttt)))) =>
0.00/0.27	                    Xq2(Xss,Xtt)))) =>
0.00/0.27	               Xp1(Xss,Xtt)))) =>
0.00/0.27	          Xp1(Xx,Xy)))))).
0.00/0.27	tff(zf_stmt_0, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (![R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.27	       ((![Xq1:((a * a) > $o)]:
0.00/0.27	           (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                ((Xq1(Xy0,Xz) & Xq1(Xx0,Xy0)) => Xq1(Xx0,Xz))) & 
0.00/0.27	             (![Xs:a,Xt:a]: ((S(Xs,Xt) | R(Xs,Xt)) => Xq1(Xs,Xt)))) =>
0.00/0.27	            Xq1(Xx,Xy))) =>
0.00/0.27	        (![Xp1:((a * a) > $o)]:
0.00/0.27	           (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                ((Xp1(Xy0,Xz) & Xp1(Xx0,Xy0)) => Xp1(Xx0,Xz))) & 
0.00/0.27	             (![Xss:a,Xtt:a]:
0.00/0.27	                (((![Xq3:((a * a) > $o)]:
0.00/0.27	                     (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                          ((Xq3(Xy0,Xz) & Xq3(Xx0,Xy0)) => Xq3(Xx0,Xz))) & 
0.00/0.27	                       (![Xssss:a,Xtttt:a]:
0.00/0.27	                          (S(Xssss,Xtttt) => Xq3(Xssss,Xtttt)))) =>
0.00/0.27	                      Xq3(Xss,Xtt))) | 
0.00/0.27	                  (![Xq2:((a * a) > $o)]:
0.00/0.27	                     (((![Xx0:a,Xy0:a,Xz:a]:
0.00/0.27	                          ((Xq2(Xy0,Xz) & Xq2(Xx0,Xy0)) => Xq2(Xx0,Xz))) & 
0.00/0.27	                       (![Xsss:a,Xttt:a]: (R(Xsss,Xttt) => Xq2(Xsss,Xttt)))) =>
0.00/0.27	                      Xq2(Xss,Xtt)))) =>
0.00/0.27	                 Xp1(Xss,Xtt)))) =>
0.00/0.27	            Xp1(Xx,Xy))))))).
0.00/0.27	tff('0', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('1', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | X0(sk_Xy0(X1), sk_Xz(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.27	tff('2', plain,
0.00/0.27	    ![X1 : a, X2 : a, X6 : a, X7 : a]:
0.00/0.27	      (sk_Xp1(X1, X2) | sk_Xq3(X2, X1, X6, X7) | ~ sk_S(X6, X7)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('3', plain,
0.00/0.27	    ![X1 : a, X2 : a]: (sk_Xp1(X1, X2) | ~ sk_Xq3(X2, X1, X1, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ $true | ~ sk_S(X1, X0) | sk_Xp1(X1, X0) | sk_Xp1(X1, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.27	tff('5', plain, ![X0 : a, X1 : a]: (sk_Xp1(X1, X0) | ~ sk_S(X1, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['4'])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X1(sk_Xy0(X0), sk_Xz(X0))
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X1(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['6'])).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X1 : a, X2 : a, X11 : a, X12 : a]:
0.00/0.27	      (sk_Xp1(X1, X2) | sk_Xq2(X2, X1, X11, X12) | ~ sk_R(X11, X12)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('9', plain,
0.00/0.27	    ![X1 : a, X2 : a]: (sk_Xp1(X1, X2) | ~ sk_Xq2(X2, X1, X1, X2)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('10', plain,
0.00/0.27	    ![X0 : a, X1 : a]:
0.00/0.27	      (~ $true | ~ sk_R(X1, X0) | sk_Xp1(X1, X0) | sk_Xp1(X1, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.27	tff('11', plain, ![X0 : a, X1 : a]: (sk_Xp1(X1, X0) | ~ sk_R(X1, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff('12', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1(sk_Xy0(X0), sk_Xz(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['7', '11'])).
0.00/0.27	tff('13', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0(sk_Xy0(X0), sk_Xz(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('14', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | X0(sk_Xy0(X1), sk_Xz(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['13'])).
0.00/0.27	tff('15', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('16', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | X0(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['15'])).
0.00/0.27	tff('17', plain,
0.00/0.27	    ![X13 : a, X14 : a, X15 : a]:
0.00/0.27	      (~ sk_Xp1(X13, X14) | ~ sk_Xp1(X14, X15) | sk_Xp1(X13, X15)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('18', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.27	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.27	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (~ sk_Xp1(sk_Xy0(X0), X1)
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['18'])).
0.00/0.27	tff('20', plain, ~ sk_Xp1(sk_Xx, sk_Xy),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('21', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.27	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.27	    inference('clc', [status(thm)], ['19', '20'])).
0.00/0.27	tff('22', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['14', '21'])).
0.00/0.27	tff('23', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['22'])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | ~ X0(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('25', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X0(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | ~ X0(sk_Xx0(X1), sk_Xz(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
0.00/0.27	tff('26', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (~ sk_Xp1(sk_Xs(X0), sk_Xt(X0)) | sk_Xp1(sk_Xx, sk_Xy) | X0 != sk_Xp1),
0.00/0.27	    inference('clc', [status(thm)], ['23', '25'])).
0.00/0.27	tff('27', plain,
0.00/0.27	    ![X0 : (a * a) > $o]: (X0 != sk_Xp1 | ~ sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['26', '20'])).
0.00/0.27	tff('28', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X1(sk_Xy0(X0), sk_Xz(X0))
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('sup-', [status(thm)], ['12', '27'])).
0.00/0.27	tff('29', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X0 != sk_Xp1 | X1(sk_Xy0(X0), sk_Xz(X0)) | X1(sk_Xx, sk_Xy) | X0 != X1),
0.00/0.27	    inference('simplify', [status(thm)], ['28'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('31', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | X0(sk_Xx0(X1), sk_Xy0(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['30'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['31', '5'])).
0.00/0.27	tff('33', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X1(sk_Xx0(X0), sk_Xy0(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['32'])).
0.00/0.27	tff('34', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['33', '11'])).
0.00/0.27	tff('35', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('sup-', [status(thm)], ['34', '27'])).
0.00/0.27	tff('36', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X0 != sk_Xp1
0.00/0.27	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1),
0.00/0.27	    inference('simplify', [status(thm)], ['35'])).
0.00/0.27	tff('37', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.27	       | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.27	    inference('sup-', [status(thm)], ['36', '17'])).
0.00/0.27	tff('38', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (~ sk_Xp1(sk_Xy0(X0), X1)
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), X1)
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('simplify', [status(thm)], ['37'])).
0.00/0.27	tff('39', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : a]:
0.00/0.27	      (X0 != sk_Xp1 | sk_Xp1(sk_Xx0(X0), X1) | ~ sk_Xp1(sk_Xy0(X0), X1)),
0.00/0.27	    inference('clc', [status(thm)], ['38', '20'])).
0.00/0.27	tff('40', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('sup-', [status(thm)], ['29', '39'])).
0.00/0.27	tff('41', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (sk_Xp1(sk_Xx0(X0), sk_Xz(X0)) | sk_Xp1(sk_Xx, sk_Xy) | X0 != sk_Xp1),
0.00/0.27	    inference('simplify', [status(thm)], ['40'])).
0.00/0.27	tff('42', plain,
0.00/0.27	    ![X0 : (a * a) > $o]: (X0 != sk_Xp1 | sk_Xp1(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['41', '20'])).
0.00/0.27	tff('43', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | sk_S(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | ~ X0(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('44', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X1 != X0
0.00/0.27	       | X0(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | sk_S(sk_Xs(X1), sk_Xt(X1))
0.00/0.27	       | ~ X0(sk_Xx0(X1), sk_Xz(X1))),
0.00/0.27	    inference('ho.purify_applied_variable', [status(thm)], ['43'])).
0.00/0.27	tff('45', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ X1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('sup-', [status(thm)], ['44', '5'])).
0.00/0.27	tff('46', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (sk_Xp1(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | sk_R(sk_Xs(X0), sk_Xt(X0))
0.00/0.27	       | ~ X1(sk_Xx0(X0), sk_Xz(X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['45'])).
0.00/0.27	tff('47', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ X1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1
0.00/0.27	       | sk_Xp1(sk_Xs(X0), sk_Xt(X0))),
0.00/0.27	    inference('clc', [status(thm)], ['46', '11'])).
0.00/0.27	tff('48', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != X1
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | ~ X1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('sup-', [status(thm)], ['47', '27'])).
0.00/0.27	tff('49', plain,
0.00/0.27	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.27	      (X0 != sk_Xp1
0.00/0.27	       | ~ X1(sk_Xx0(X0), sk_Xz(X0))
0.00/0.27	       | X1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != X1),
0.00/0.27	    inference('simplify', [status(thm)], ['48'])).
0.00/0.27	tff('50', plain,
0.00/0.27	    ![X0 : (a * a) > $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | X0 != sk_Xp1
0.00/0.27	       | sk_Xp1(sk_Xx, sk_Xy)
0.00/0.27	       | X0 != sk_Xp1),
0.00/0.27	    inference('sup-', [status(thm)], ['42', '49'])).
0.00/0.27	tff('51', plain, ![X0 : (a * a) > $o]: (sk_Xp1(sk_Xx, sk_Xy) | X0 != sk_Xp1),
0.00/0.27	    inference('simplify', [status(thm)], ['50'])).
0.00/0.27	tff('52', plain, ![X0 : (a * a) > $o]: X0 != sk_Xp1,
0.00/0.27	    inference('clc', [status(thm)], ['51', '20'])).
0.00/0.27	tff('53', plain, $false, inference('eq_res', [status(thm)], ['52'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
