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    : supatvars_ext
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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
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   : n170.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 17:51:08 CST 2018
0.00/0.47	% done 127 iterations in 0.268s
0.00/0.47	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.47	% SZS output start Refutation
0.00/0.47	tff(cTHM252A_pme, conjecture,
0.00/0.47	  (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.47	     ((![Xp:((a * a) > $o)]:
0.00/0.47	         ((P(Xp) & 
0.00/0.47	           (![Xx0:a,Xy0:a]:
0.00/0.47	              (((![Xp0:((a * a) > $o)]:
0.00/0.47	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.47	                    Xp0(Xx0,Xy0))) | 
0.00/0.47	                (![Xp0:((a * a) > $o)]:
0.00/0.47	                   ((P(Xp0) & (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.47	                    Xp0(Xx0,Xy0)))) =>
0.00/0.47	               Xp(Xx0,Xy0)))) =>
0.00/0.47	          Xp(Xx,Xy))) =>
0.00/0.47	      (![Xp:((a * a) > $o)]:
0.00/0.47	         ((P(Xp) & 
0.00/0.47	           (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.47	          Xp(Xx,Xy)))))).
0.00/0.47	tff(zf_stmt_0, negated_conjecture,
0.00/0.47	  (~
0.00/0.47	    (![P:((a * a) > $o > $o),R:((a * a) > $o),S:((a * a) > $o),Xx:a,Xy:a]:
0.00/0.47	       ((![Xp:((a * a) > $o)]:
0.00/0.47	           ((P(Xp) & 
0.00/0.47	             (![Xx0:a,Xy0:a]:
0.00/0.47	                (((![Xp0:((a * a) > $o)]:
0.00/0.47	                     ((P(Xp0) & 
0.00/0.47	                       (![Xx1:a,Xy1:a]: (S(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.47	                      Xp0(Xx0,Xy0))) | 
0.00/0.47	                  (![Xp0:((a * a) > $o)]:
0.00/0.47	                     ((P(Xp0) & 
0.00/0.47	                       (![Xx1:a,Xy1:a]: (R(Xx1,Xy1) => Xp0(Xx1,Xy1)))) =>
0.00/0.47	                      Xp0(Xx0,Xy0)))) =>
0.00/0.47	                 Xp(Xx0,Xy0)))) =>
0.00/0.47	            Xp(Xx,Xy))) =>
0.00/0.47	        (![Xp:((a * a) > $o)]:
0.00/0.47	           ((P(Xp) & 
0.00/0.47	             (![Xx0:a,Xy0:a]: ((S(Xx0,Xy0) | R(Xx0,Xy0)) => Xp(Xx0,Xy0)))) =>
0.00/0.47	            Xp(Xx,Xy))))))).
0.00/0.47	tff('0', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X1), sk_Xy11(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | X2(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_S(sk_Xx1(X2), sk_Xy1(X2))
0.00/0.47	       | ~ sk_P(X2)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('1', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X1(sk_Xx, sk_Xy)),
0.00/0.47	    inference('eq_fact', [status(thm)], ['0'])).
0.00/0.47	tff('2', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (X1(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)),
0.00/0.47	    inference('simplify', [status(thm)], ['1'])).
0.00/0.47	tff('3', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy) | ~ X0(sk_Xx0(X0), sk_Xy0(X0)) | ~ sk_P(X0)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('4', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.47	tff('5', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('simplify', [status(thm)], ['4'])).
0.00/0.47	tff('6', plain, ![X3 : a, X4 : a]: (sk_Xp(X3, X4) | ~ sk_S(X3, X4)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('7', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(X0), sk_Xy1(X0))),
0.00/0.47	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.47	tff('8', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('simplify', [status(thm)], ['7'])).
0.00/0.47	tff('9', plain, ![X3 : a, X4 : a]: (sk_Xp(X3, X4) | ~ sk_R(X3, X4)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('10', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | sk_Xp(sk_Xx11(X0), sk_Xy11(X0))),
0.00/0.47	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.47	tff('11', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | sk_Xp(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('simplify', [status(thm)], ['10'])).
0.00/0.47	tff('12', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ X1(sk_Xx11(X1), sk_Xy11(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | X2(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_S(sk_Xx1(X2), sk_Xy1(X2))
0.00/0.47	       | ~ sk_P(X2)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('13', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X1(sk_Xx, sk_Xy)),
0.00/0.47	    inference('eq_fact', [status(thm)], ['12'])).
0.00/0.47	tff('14', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (X1(sk_Xx, sk_Xy)
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | sk_S(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)),
0.00/0.47	    inference('simplify', [status(thm)], ['13'])).
0.00/0.47	tff('15', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X1(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(X0), sk_Xy1(X0))),
0.00/0.47	    inference('sup-', [status(thm)], ['14', '6'])).
0.00/0.47	tff('16', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X1(sk_Xx, sk_Xy)
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)),
0.00/0.47	    inference('simplify', [status(thm)], ['15'])).
0.00/0.47	tff('17', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))),
0.00/0.47	    inference('sup-', [status(thm)], ['11', '16'])).
0.00/0.47	tff('18', plain, sk_P(sk_Xp), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('19', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ $true
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))),
0.00/0.47	    inference('demod', [status(thm)], ['17', '18', '18'])).
0.00/0.47	tff('20', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['19'])).
0.00/0.47	tff('21', plain, ~ sk_Xp(sk_Xx, sk_Xy),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('22', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('clc', [status(thm)], ['20', '21'])).
0.00/0.47	tff('23', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X1), sk_Xy11(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | X2(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ X2(sk_Xx1(X2), sk_Xy1(X2))
0.00/0.47	       | ~ sk_P(X2)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('24', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ X1(sk_Xx1(X1), sk_Xy1(X1))
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['23', '3'])).
0.00/0.47	tff('25', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ X1(sk_Xx1(X1), sk_Xy1(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('simplify', [status(thm)], ['24'])).
0.00/0.47	tff('26', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | X1(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['22', '25'])).
0.00/0.47	tff('27', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | X1(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ $true
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('demod', [status(thm)], ['26', '18'])).
0.00/0.47	tff('28', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | sk_Xp(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | X1(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['27'])).
0.00/0.47	tff('29', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['28', '3'])).
0.00/0.47	tff('30', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | ~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | ~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('demod', [status(thm)], ['29', '18', '18'])).
0.00/0.47	tff('31', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['30'])).
0.00/0.47	tff('32', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | sk_R(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('clc', [status(thm)], ['31', '21'])).
0.00/0.47	tff('33', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx11(X0), sk_Xy11(X0))),
0.00/0.47	    inference('sup-', [status(thm)], ['32', '9'])).
0.00/0.47	tff('34', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['33'])).
0.00/0.47	tff('35', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o, X2 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | X1(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ X1(sk_Xx11(X1), sk_Xy11(X1))
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | X2(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ X2(sk_Xx1(X2), sk_Xy1(X2))
0.00/0.47	       | ~ sk_P(X2)
0.00/0.47	       | ~ sk_P(X0)),
0.00/0.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.47	tff('36', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | ~ sk_P(X1)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ X0(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X1(sk_Xx, sk_Xy)),
0.00/0.47	    inference('eq_fact', [status(thm)], ['35'])).
0.00/0.47	tff('37', plain,
0.00/0.47	    ![X0 : (a * a) > $o, X1 : (a * a) > $o]:
0.00/0.47	      (X1(sk_Xx, sk_Xy)
0.00/0.47	       | ~ X0(sk_Xx11(X0), sk_Xy11(X0))
0.00/0.47	       | X0(sk_Xx0(X1), sk_Xy0(X1))
0.00/0.47	       | ~ X0(sk_Xx1(X0), sk_Xy1(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(X1)),
0.00/0.47	    inference('simplify', [status(thm)], ['36'])).
0.00/0.47	tff('38', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ sk_P(sk_Xp)
0.00/0.47	       | ~ sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['34', '37'])).
0.00/0.47	tff('39', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (~ $true
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	       | ~ $true
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | ~ $true
0.00/0.47	       | ~ sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('demod', [status(thm)], ['38', '18', '18'])).
0.00/0.47	tff('40', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_Xp(sk_Xx1(sk_Xp), sk_Xy1(sk_Xp))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	       | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['39'])).
0.00/0.47	tff('41', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | X0(sk_Xx, sk_Xy)),
0.00/0.47	    inference('clc', [status(thm)], ['40', '22'])).
0.00/0.47	tff('42', plain,
0.00/0.47	    ![X0 : (a * a) > $o]:
0.00/0.47	      (X0(sk_Xx, sk_Xy)
0.00/0.47	       | sk_Xp(sk_Xx0(X0), sk_Xy0(X0))
0.00/0.47	       | ~ sk_P(X0)
0.00/0.47	       | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))),
0.00/0.47	    inference('clc', [status(thm)], ['41', '21'])).
0.00/0.47	tff('43', plain,
0.00/0.47	    (~ $true
0.00/0.47	     | ~ sk_P(sk_Xp)
0.00/0.47	     | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	     | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('eq_fact', [status(thm)], ['42'])).
0.00/0.47	tff('44', plain,
0.00/0.47	    (sk_Xp(sk_Xx, sk_Xy)
0.00/0.47	     | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp))
0.00/0.47	     | ~ sk_P(sk_Xp)),
0.00/0.47	    inference('simplify', [status(thm)], ['43'])).
0.00/0.47	tff('45', plain,
0.00/0.47	    (sk_Xp(sk_Xx, sk_Xy) | sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp)) | ~ $true),
0.00/0.47	    inference('demod', [status(thm)], ['44', '18'])).
0.00/0.47	tff('46', plain, (sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp)) | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('simplify', [status(thm)], ['45'])).
0.00/0.47	tff('47', plain, sk_Xp(sk_Xx0(sk_Xp), sk_Xy0(sk_Xp)),
0.00/0.47	    inference('clc', [status(thm)], ['46', '21'])).
0.00/0.47	tff('48', plain, (~ $true | ~ sk_P(sk_Xp) | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('sup-', [status(thm)], ['47', '3'])).
0.00/0.47	tff('49', plain, (~ $true | ~ $true | sk_Xp(sk_Xx, sk_Xy)),
0.00/0.47	    inference('demod', [status(thm)], ['48', '18'])).
0.00/0.47	tff('50', plain, sk_Xp(sk_Xx, sk_Xy),
0.00/0.47	    inference('simplify', [status(thm)], ['49'])).
0.00/0.47	tff('51', plain, ~ $true, inference('sup-', [status(thm)], ['50', '21'])).
0.00/0.47	tff('52', plain, $false, inference('simplify', [status(thm)], ['51'])).
0.00/0.47	
0.00/0.47	% SZS output end Refutation
0.00/0.47	EOF
