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_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n103.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 17:51:39 CST 2018
1.70/1.91	% done 1307 iterations in 1.705s
1.70/1.91	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.70/1.91	% SZS output start Refutation
1.70/1.91	tff(cTHM204_pme, conjecture,
1.70/1.91	  (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
1.70/1.91	     (((![Xx0:(a > $o)]:
1.70/1.91	          ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	           (Xx0(Xy) => Xx0(Xz)))) & 
1.70/1.91	       (![Xx0:(a > $o)]:
1.70/1.91	          ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	           (Xx0(Xx) => Xx0(Xy))))) =>
1.70/1.91	      (![Xx0:(a > $o)]:
1.70/1.91	         ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	          (Xx0(Xx) => Xx0(Xz))))))).
1.70/1.91	tff(zf_stmt_0, negated_conjecture,
1.70/1.91	  (~
1.70/1.91	    (![Xr:((a * a) > $o),Xx:a,Xy:a,Xz:a]:
1.70/1.91	       (((![Xx0:(a > $o)]:
1.70/1.91	            ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	             (Xx0(Xy) => Xx0(Xz)))) & 
1.70/1.91	         (![Xx0:(a > $o)]:
1.70/1.91	            ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	             (Xx0(Xx) => Xx0(Xy))))) =>
1.70/1.91	        (![Xx0:(a > $o)]:
1.70/1.91	           ((![Xy0:a,Xz0:a]: ((Xx0(Xy0) & Xr(Xy0,Xz0)) => Xx0(Xz0))) =>
1.70/1.91	            (Xx0(Xx) => Xx0(Xz)))))))).
1.70/1.91	tff('0', plain, sk_Xx0(sk_Xx), inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('1', plain, ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | X3(sk_Xy0(X3))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('2', plain,
1.70/1.91	    ![X3 : a > $o, X4 : a > $o, X5 : a > $o, X6 : a > $o]:
1.70/1.91	      (X6 != X3
1.70/1.91	       | X5 != X3
1.70/1.91	       | X4 != X3
1.70/1.91	       | ~ X3(sk_Xx)
1.70/1.91	       | X4(sk_Xy)
1.70/1.91	       | X5(sk_Xy0(X6))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['1'])).
1.70/1.91	tff('3', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0(sk_Xy0(X1))
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0),
1.70/1.91	    inference('sup-', [status(thm)], ['0', '2'])).
1.70/1.91	tff('4', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X0(sk_Xy0(X1))),
1.70/1.91	    inference('simplify', [status(thm)], ['3'])).
1.70/1.91	tff('5', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X4 != X0
1.70/1.91	       | X3 != X2
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X3(sk_Xy)
1.70/1.91	       | X4(sk_Xy0(X1))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
1.70/1.91	tff('6', plain,
1.70/1.91	    ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | sk_Xr(sk_Xy0(X3), sk_Xz0(X3))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('7', plain,
1.70/1.91	    ![X3 : a > $o, X4 : a > $o, X5 : a > $o]:
1.70/1.91	      (X5 != X3
1.70/1.91	       | X4 != X3
1.70/1.91	       | ~ X3(sk_Xx)
1.70/1.91	       | X4(sk_Xy)
1.70/1.91	       | sk_Xr(sk_Xy0(X5), sk_Xz0(X5))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['6'])).
1.70/1.91	tff('8', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | sk_Xr(sk_Xy0(X0), sk_Xz0(X0))
1.70/1.91	       | X1(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0),
1.70/1.91	    inference('sup-', [status(thm)], ['0', '7'])).
1.70/1.91	tff('9', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X1(sk_Xy)
1.70/1.91	       | sk_Xr(sk_Xy0(X0), sk_Xz0(X0))),
1.70/1.91	    inference('simplify', [status(thm)], ['8'])).
1.70/1.91	tff('10', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X2 != X1
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | sk_Xr(sk_Xy0(X0), sk_Xz0(X0))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
1.70/1.91	tff('11', plain,
1.70/1.91	    ![X0 : a, X1 : a]: (~ sk_Xx0(X0) | ~ sk_Xr(X0, X1) | sk_Xx0(X1)),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('12', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X1(sk_Xy)
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1 != X2
1.70/1.91	       | sk_Xx0(sk_Xz0(X0))
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X0))),
1.70/1.91	    inference('sup-', [status(thm)], ['10', '11'])).
1.70/1.91	tff('13', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ sk_Xx0(sk_Xy0(X0))
1.70/1.91	       | sk_Xx0(sk_Xz0(X0))
1.70/1.91	       | X1 != X2
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1(sk_Xy)),
1.70/1.91	    inference('simplify', [status(thm)], ['12'])).
1.70/1.91	tff('14', plain,
1.70/1.91	    ![X3 : a > $o]: (~ X3(sk_Xx) | X3(sk_Xy) | ~ X3(sk_Xz0(X3))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('15', plain,
1.70/1.91	    ![X3 : a > $o, X4 : a > $o, X5 : a > $o, X6 : a > $o]:
1.70/1.91	      (X6 != X3
1.70/1.91	       | X5 != X3
1.70/1.91	       | X4 != X3
1.70/1.91	       | ~ X3(sk_Xx)
1.70/1.91	       | X4(sk_Xy)
1.70/1.91	       | ~ X5(sk_Xz0(X6))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['14'])).
1.70/1.91	tff('16', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | ~ X0(sk_Xz0(X1))
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0),
1.70/1.91	    inference('sup-', [status(thm)], ['0', '15'])).
1.70/1.91	tff('17', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | ~ X0(sk_Xz0(X1))),
1.70/1.91	    inference('simplify', [status(thm)], ['16'])).
1.70/1.91	tff('18', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X4 != X0
1.70/1.91	       | X3 != X2
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X3(sk_Xy)
1.70/1.91	       | ~ X4(sk_Xz0(X1))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['17'])).
1.70/1.91	tff('19', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X4(sk_Xy)
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X4 != X5
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X0))
1.70/1.91	       | X1(sk_Xy)
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1 != X2
1.70/1.91	       | sk_Xx0 != X3),
1.70/1.91	    inference('sup-', [status(thm)], ['13', '18'])).
1.70/1.91	tff('20', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (X1 != X2
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1(sk_Xy)
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X0))
1.70/1.91	       | X4 != X5
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X4(sk_Xy)),
1.70/1.91	    inference('simplify', [status(thm)], ['19'])).
1.70/1.91	tff('21', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X0(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != X1
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X2))
1.70/1.91	       | X3(sk_Xy)
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X3 != X4),
1.70/1.91	    inference('eq_res', [status(thm)], ['20'])).
1.70/1.91	tff('22', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0 != X1
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0(sk_Xy)
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X2))
1.70/1.91	       | X0 != X3
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X3 != sk_Xx0),
1.70/1.91	    inference('eq_fact', [status(thm)], ['21'])).
1.70/1.91	tff('23', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X3 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != X3
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X2))
1.70/1.91	       | X0(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != X1),
1.70/1.91	    inference('simplify', [status(thm)], ['22'])).
1.70/1.91	tff('24', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X0(sk_Xy)
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X1))
1.70/1.91	       | X0 != X2
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0),
1.70/1.91	    inference('eq_res', [status(thm)], ['23'])).
1.70/1.91	tff('25', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X3 != X0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X3(sk_Xy)
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X1))
1.70/1.91	       | X0 != X2
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['24'])).
1.70/1.91	tff('26', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X1))
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2 != X0),
1.70/1.91	    inference('eq_res', [status(thm)], ['25'])).
1.70/1.91	tff('27', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X2 != X0
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | ~ sk_Xx0(sk_Xy0(X1))
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['26'])).
1.70/1.91	tff('28', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X3(sk_Xy)
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X3 != X4
1.70/1.91	       | sk_Xx0 != X5
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X2 != X1),
1.70/1.91	    inference('sup-', [status(thm)], ['5', '27'])).
1.70/1.91	tff('29', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (X2 != X1
1.70/1.91	       | X2(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X3 != X4
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X3(sk_Xy)),
1.70/1.91	    inference('simplify', [status(thm)], ['28'])).
1.70/1.91	tff('30', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X0(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != X1
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X4(sk_Xy)
1.70/1.91	       | X4 != X3),
1.70/1.91	    inference('eq_res', [status(thm)], ['29'])).
1.70/1.91	tff('31', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X0 != X1
1.70/1.91	       | X0(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X2 != X3
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X2(sk_Xy)),
1.70/1.91	    inference('eq_res', [status(thm)], ['30'])).
1.70/1.91	tff('32', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0(sk_Xy)
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0 != X1
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X0 != X2),
1.70/1.91	    inference('eq_fact', [status(thm)], ['31'])).
1.70/1.91	tff('33', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != X2 | X2 != sk_Xx0 | X0 != X1 | X1 != sk_Xx0 | X0(sk_Xy)),
1.70/1.91	    inference('simplify', [status(thm)], ['32'])).
1.70/1.91	tff('34', plain, ![X2 : a > $o]: (~ X2(sk_Xy) | X2(sk_Xz) | X2(sk_Xy01(X2))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('35', plain,
1.70/1.91	    ![X2 : a > $o, X3 : a > $o, X4 : a > $o, X5 : a > $o]:
1.70/1.91	      (X5 != X2
1.70/1.91	       | X4 != X2
1.70/1.91	       | X3 != X2
1.70/1.91	       | ~ X2(sk_Xy)
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | X4(sk_Xy01(X5))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['34'])).
1.70/1.91	tff('36', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X0 != X4
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != X5
1.70/1.91	       | X1(sk_Xy01(X2))
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | X3 != X0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X2 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['33', '35'])).
1.70/1.91	tff('37', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (X2 != X0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X3 != X0
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | X1(sk_Xy01(X2))
1.70/1.91	       | X0 != X5
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != X4
1.70/1.91	       | X4 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['36'])).
1.70/1.91	tff('38', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1 != X2
1.70/1.91	       | X3(sk_Xy01(X1))
1.70/1.91	       | X4(sk_Xz)
1.70/1.91	       | X4 != X1
1.70/1.91	       | X3 != X1),
1.70/1.91	    inference('eq_res', [status(thm)], ['37'])).
1.70/1.91	tff('39', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X0 != X1
1.70/1.91	       | X2 != X1
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X0(sk_Xy01(X1))
1.70/1.91	       | X1 != X3
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0),
1.70/1.91	    inference('eq_res', [status(thm)], ['38'])).
1.70/1.91	tff('40', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1(sk_Xy01(X0))
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X2 != X0
1.70/1.91	       | X1 != X0),
1.70/1.91	    inference('eq_res', [status(thm)], ['39'])).
1.70/1.91	tff('41', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != X0 | X2 != X0 | X2(sk_Xz) | X1(sk_Xy01(X0)) | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['40'])).
1.70/1.91	tff('42', plain,
1.70/1.91	    ![X2 : a > $o]:
1.70/1.91	      (~ X2(sk_Xy) | X2(sk_Xz) | sk_Xr(sk_Xy01(X2), sk_Xz01(X2))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('43', plain,
1.70/1.91	    ![X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X4 != X2
1.70/1.91	       | X3 != X2
1.70/1.91	       | ~ X2(sk_Xy)
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | sk_Xr(sk_Xy01(X4), sk_Xz01(X4))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['42'])).
1.70/1.91	tff('44', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X0 != X3
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X0 != X4
1.70/1.91	       | sk_Xr(sk_Xy01(X1), sk_Xz01(X1))
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X2 != X0
1.70/1.91	       | X1 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['33', '43'])).
1.70/1.91	tff('45', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X1 != X0
1.70/1.91	       | X2 != X0
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | sk_Xr(sk_Xy01(X1), sk_Xz01(X1))
1.70/1.91	       | X0 != X4
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X0 != X3
1.70/1.91	       | X3 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['44'])).
1.70/1.91	tff('46', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1 != X2
1.70/1.91	       | sk_Xr(sk_Xy01(X1), sk_Xz01(X1))
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | X3 != X1),
1.70/1.91	    inference('eq_res', [status(thm)], ['45'])).
1.70/1.91	tff('47', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != X1
1.70/1.91	       | X0(sk_Xz)
1.70/1.91	       | sk_Xr(sk_Xy01(X1), sk_Xz01(X1))
1.70/1.91	       | X1 != X2
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0),
1.70/1.91	    inference('eq_res', [status(thm)], ['46'])).
1.70/1.91	tff('48', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | sk_Xr(sk_Xy01(X0), sk_Xz01(X0))
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | X1 != X0),
1.70/1.91	    inference('eq_res', [status(thm)], ['47'])).
1.70/1.91	tff('49', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (X1 != X0 | X1(sk_Xz) | sk_Xr(sk_Xy01(X0), sk_Xz01(X0)) | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['48'])).
1.70/1.91	tff('50', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | X1 != X0
1.70/1.91	       | sk_Xx0(sk_Xz01(X0))
1.70/1.91	       | ~ sk_Xx0(sk_Xy01(X0))),
1.70/1.91	    inference('sup-', [status(thm)], ['49', '11'])).
1.70/1.91	tff('51', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ sk_Xx0(sk_Xy01(X0))
1.70/1.91	       | sk_Xx0(sk_Xz01(X0))
1.70/1.91	       | X1 != X0
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['50'])).
1.70/1.91	tff('52', plain,
1.70/1.91	    ![X2 : a > $o]: (~ X2(sk_Xy) | X2(sk_Xz) | ~ X2(sk_Xz01(X2))),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('53', plain,
1.70/1.91	    ![X2 : a > $o, X3 : a > $o, X4 : a > $o, X5 : a > $o]:
1.70/1.91	      (X5 != X2
1.70/1.91	       | X4 != X2
1.70/1.91	       | X3 != X2
1.70/1.91	       | ~ X2(sk_Xy)
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | ~ X4(sk_Xz01(X5))),
1.70/1.91	    inference('ho.purify_applied_variable', [status(thm)], ['52'])).
1.70/1.91	tff('54', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X4 != sk_Xx0
1.70/1.91	       | X0 != X4
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != X5
1.70/1.91	       | ~ X1(sk_Xz01(X2))
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | X3 != X0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X2 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['33', '53'])).
1.70/1.91	tff('55', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o, 
1.70/1.91	      X5 : a > $o]:
1.70/1.91	      (X2 != X0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X3 != X0
1.70/1.91	       | X3(sk_Xz)
1.70/1.91	       | ~ X1(sk_Xz01(X2))
1.70/1.91	       | X0 != X5
1.70/1.91	       | X5 != sk_Xx0
1.70/1.91	       | X0 != X4
1.70/1.91	       | X4 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['54'])).
1.70/1.91	tff('56', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X1 != X0
1.70/1.91	       | X2 != sk_Xx0
1.70/1.91	       | X1 != X2
1.70/1.91	       | ~ X3(sk_Xz01(X1))
1.70/1.91	       | X4(sk_Xz)
1.70/1.91	       | X4 != X1
1.70/1.91	       | X3 != X1),
1.70/1.91	    inference('eq_res', [status(thm)], ['55'])).
1.70/1.91	tff('57', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o]:
1.70/1.91	      (X0 != X1
1.70/1.91	       | X2 != X1
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | ~ X0(sk_Xz01(X1))
1.70/1.91	       | X1 != X3
1.70/1.91	       | X3 != sk_Xx0
1.70/1.91	       | X1 != sk_Xx0),
1.70/1.91	    inference('eq_res', [status(thm)], ['56'])).
1.70/1.91	tff('58', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X0 != sk_Xx0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | ~ X1(sk_Xz01(X0))
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X2 != X0
1.70/1.91	       | X1 != X0),
1.70/1.91	    inference('eq_res', [status(thm)], ['57'])).
1.70/1.91	tff('59', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != X0 | X2 != X0 | X2(sk_Xz) | ~ X1(sk_Xz01(X0)) | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['58'])).
1.70/1.91	tff('60', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X2 != X0
1.70/1.91	       | ~ sk_Xx0(sk_Xy01(X0))
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | X1 != X0
1.70/1.91	       | sk_Xx0 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['51', '59'])).
1.70/1.91	tff('61', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != X0
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | ~ sk_Xx0(sk_Xy01(X0))
1.70/1.91	       | X2 != X0
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['60'])).
1.70/1.91	tff('62', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X1 != sk_Xx0
1.70/1.91	       | X0(sk_Xz)
1.70/1.91	       | X0 != X1
1.70/1.91	       | ~ sk_Xx0(sk_Xy01(X1))
1.70/1.91	       | X0 != X1),
1.70/1.91	    inference('eq_fact', [status(thm)], ['61'])).
1.70/1.91	tff('63', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ sk_Xx0(sk_Xy01(X1)) | X0 != X1 | X0(sk_Xz) | X1 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['62'])).
1.70/1.91	tff('64', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (~ $true
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X2(sk_Xz)
1.70/1.91	       | X2 != X0
1.70/1.91	       | sk_Xx0 != X0
1.70/1.91	       | X0 != sk_Xx0
1.70/1.91	       | X1(sk_Xz)
1.70/1.91	       | X1 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['41', '63'])).
1.70/1.91	tff('65', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o, X2 : a > $o]:
1.70/1.91	      (X1 != X0 | X1(sk_Xz) | X2 != X0 | X2(sk_Xz) | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['64'])).
1.70/1.91	tff('66', plain, ~ sk_Xx0(sk_Xz),
1.70/1.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.70/1.91	tff('67', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]:
1.70/1.91	      (~ $true | X0 != sk_Xx0 | X1(sk_Xz) | X1 != X0 | sk_Xx0 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['65', '66'])).
1.70/1.91	tff('68', plain,
1.70/1.91	    ![X0 : a > $o, X1 : a > $o]: (X1 != X0 | X1(sk_Xz) | X0 != sk_Xx0),
1.70/1.91	    inference('simplify', [status(thm)], ['67'])).
1.70/1.91	tff('69', plain, ![X0 : a > $o]: (~ $true | X0 != sk_Xx0 | sk_Xx0 != X0),
1.70/1.91	    inference('sup-', [status(thm)], ['68', '66'])).
1.70/1.91	tff('70', plain, ![X0 : a > $o]: X0 != sk_Xx0,
1.70/1.91	    inference('simplify', [status(thm)], ['69'])).
1.70/1.91	tff('71', plain, $false, inference('eq_res', [status(thm)], ['70'])).
1.70/1.91	
1.70/1.91	% SZS output end Refutation
1.70/1.92	EOF
