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_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	  --sup-at-vars \
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   : n087.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 17:36:54 CST 2018
0.61/0.81	% done 606 iterations in 0.607s
0.61/0.81	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.61/0.81	% SZS output start Refutation
0.61/0.81	tff(cTHM512_pme, conjecture,
0.61/0.81	  (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
0.61/0.81	     ((![Xx:a]:
0.61/0.81	         (Xp(Xx) =>
0.61/0.81	          ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
0.61/0.81	              ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
0.61/0.81	           (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
0.61/0.81	           (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
0.61/0.81	      ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.61/0.81	          (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
0.61/0.81	            (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
0.61/0.81	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
0.61/0.81	       (![Xx:(a > b),Xy:(a > b)]:
0.61/0.81	          ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
0.61/0.81	           (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
0.61/0.81	       (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx))))))).
0.61/0.81	tff(zf_stmt_0, negated_conjecture,
0.61/0.81	  (~
0.61/0.81	    (![Xp:(a > $o),Xe:((a * a > b * a > b) > $o)]:
0.61/0.81	       ((![Xx:a]:
0.61/0.81	           (Xp(Xx) =>
0.61/0.81	            ((![Xx0:(a > b),Xy:(a > b),Xz:(a > b)]:
0.61/0.81	                ((Xe(Xx,Xy,Xz) & Xe(Xx,Xx0,Xy)) => Xe(Xx,Xx0,Xz))) & 
0.61/0.81	             (![Xx0:(a > b),Xy:(a > b)]: (Xe(Xx,Xx0,Xy) => Xe(Xx,Xy,Xx0))) & 
0.61/0.81	             (![Xx0:(a > b)]: Xe(Xx,Xx0,Xx0))))) =>
0.61/0.81	        ((![Xx:(a > b),Xy:(a > b),Xz:(a > b)]:
0.61/0.81	            (((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xz))) & 
0.61/0.81	              (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy)))) =>
0.61/0.81	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xz))))) & 
0.61/0.81	         (![Xx:(a > b),Xy:(a > b)]:
0.61/0.81	            ((![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xy))) =>
0.61/0.81	             (![Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xy,Xx))))) & 
0.61/0.81	         (![Xx:(a > b),Xx0:a]: (Xp(Xx0) => Xe(Xx0,Xx,Xx)))))))).
0.61/0.81	tff('0', plain, ![X0 : a, X6 : a > b]: (sk_Xe(X0, X6, X6) | ~ sk_Xp(X0)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('1', plain,
0.61/0.81	    ![X0 : a, X4 : a > b, X5 : a > b]:
0.61/0.81	      (~ sk_Xe(X0, X4, X5) | sk_Xe(X0, X5, X4) | ~ sk_Xp(X0)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('2', plain,
0.61/0.81	    ![X8 : a, X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('3', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '2'])).
0.61/0.81	tff('4', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['3'])).
0.61/0.81	tff('5', plain,
0.61/0.81	    ![X8 : a, X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('6', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('clc', [status(thm)], ['4', '5'])).
0.61/0.81	tff('7', plain,
0.61/0.81	    ![X0 : a, X1 : a > b, X2 : a > b, X3 : a > b]:
0.61/0.81	      (sk_Xe(X0, X1, X2)
0.61/0.81	       | ~ sk_Xe(X0, X3, X2)
0.61/0.81	       | ~ sk_Xe(X0, X1, X3)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('8', plain,
0.61/0.81	    ![X0 : a, X1 : a > b, X2 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X2)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy1, X1)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, X1)),
0.61/0.81	    inference('sup-', [status(thm)], ['6', '7'])).
0.61/0.81	tff('9', plain,
0.61/0.81	    ![X0 : a, X1 : a > b, X2 : a]:
0.61/0.81	      (sk_Xe(X0, sk_Xx1, X1)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy1, X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X2)),
0.61/0.81	    inference('simplify', [status(thm)], ['8'])).
0.61/0.81	tff('10', plain,
0.61/0.81	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X2)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xx1, X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '9'])).
0.61/0.81	tff('11', plain,
0.61/0.81	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.81	      (sk_Xe(X1, sk_Xx1, X0)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X2)
0.61/0.81	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('simplify', [status(thm)], ['10'])).
0.61/0.81	tff('12', plain,
0.61/0.81	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X2)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, X0, sk_Xx1)),
0.61/0.81	    inference('sup-', [status(thm)], ['11', '1'])).
0.61/0.81	tff('13', plain,
0.61/0.81	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.81	      (sk_Xe(X1, X0, sk_Xx1)
0.61/0.81	       | sk_Xe(X2, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X2)
0.61/0.81	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('simplify', [status(thm)], ['12'])).
0.61/0.81	tff('14', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xe(X0, sk_Xy1, sk_Xx1)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '13'])).
0.61/0.81	tff('15', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (sk_Xe(X0, sk_Xy1, sk_Xx1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['14'])).
0.61/0.81	tff('16', plain,
0.61/0.81	    ![X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('17', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X1)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X1, sk_Xx1)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['7', '16'])).
0.61/0.81	tff('18', plain,
0.61/0.81	    ![X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('19', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '18'])).
0.61/0.81	tff('20', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['19'])).
0.61/0.81	tff('21', plain,
0.61/0.81	    ![X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('22', plain,
0.61/0.81	    ![X0 : a]: (sk_Xp(sk_Xx01) | sk_Xe(X0, sk_Xy, sk_Xz) | ~ sk_Xp(X0)),
0.61/0.81	    inference('clc', [status(thm)], ['20', '21'])).
0.61/0.81	tff('23', plain,
0.61/0.81	    ![X7 : a]:
0.61/0.81	      (~ sk_Xp(X7)
0.61/0.81	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('24', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '23'])).
0.61/0.81	tff('25', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['24'])).
0.61/0.81	tff('26', plain,
0.61/0.81	    ![X7 : a]:
0.61/0.81	      (~ sk_Xp(X7)
0.61/0.81	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('27', plain,
0.61/0.81	    ![X0 : a]: (sk_Xp(sk_Xx01) | sk_Xe(X0, sk_Xx, sk_Xy) | ~ sk_Xp(X0)),
0.61/0.81	    inference('clc', [status(thm)], ['25', '26'])).
0.61/0.81	tff('28', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy, X1)
0.61/0.81	       | sk_Xe(X0, sk_Xx, X1)),
0.61/0.81	    inference('sup-', [status(thm)], ['27', '7'])).
0.61/0.81	tff('29', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (sk_Xe(X0, sk_Xx, X1)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy, X1)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['28'])).
0.61/0.81	tff('30', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xz)),
0.61/0.81	    inference('sup-', [status(thm)], ['22', '29'])).
0.61/0.81	tff('31', plain,
0.61/0.81	    ![X0 : a]: (sk_Xe(X0, sk_Xx, sk_Xz) | sk_Xp(sk_Xx01) | ~ sk_Xp(X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['30'])).
0.61/0.81	tff('32', plain,
0.61/0.81	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.61/0.81	     | sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('33', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ sk_Xp(sk_Xx0)
0.61/0.81	     | sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	     | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('sup-', [status(thm)], ['31', '32'])).
0.61/0.81	tff('34', plain,
0.61/0.81	    (sk_Xp(sk_Xx0)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('35', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	     | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '34'])).
0.61/0.81	tff('36', plain,
0.61/0.81	    (sk_Xp(sk_Xx0)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	     | ~ sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['35'])).
0.61/0.81	tff('37', plain,
0.61/0.81	    ![X8 : a]:
0.61/0.81	      (sk_Xp(sk_Xx0)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('38', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '37'])).
0.61/0.81	tff('39', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (sk_Xp(sk_Xx0)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['38'])).
0.61/0.81	tff('40', plain,
0.61/0.81	    (sk_Xp(sk_Xx0) | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('41', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '40'])).
0.61/0.81	tff('42', plain,
0.61/0.81	    (sk_Xp(sk_Xx0)
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	     | ~ sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['41'])).
0.61/0.81	tff('43', plain,
0.61/0.81	    ![X8 : a]:
0.61/0.81	      (sk_Xp(sk_Xx0)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('44', plain, (~ sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('clc', [status(thm)], ['42', '43'])).
0.61/0.81	tff('45', plain,
0.61/0.81	    (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('46', plain,
0.61/0.81	    (~ $true | ~ sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '45'])).
0.61/0.81	tff('47', plain, (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['46'])).
0.61/0.81	tff('48', plain, (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('49', plain, (sk_Xp(sk_Xx01) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('clc', [status(thm)], ['47', '48'])).
0.61/0.81	tff('50', plain, (sk_Xp(sk_Xx0) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('clc', [status(thm)], ['44', '49'])).
0.61/0.81	tff('51', plain,
0.61/0.81	    ![X0 : a]: (sk_Xe(X0, sk_Xx1, sk_Xy1) | ~ sk_Xp(X0) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('clc', [status(thm)], ['39', '50'])).
0.61/0.81	tff('52', plain,
0.61/0.81	    (~ sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('clc', [status(thm)], ['36', '51'])).
0.61/0.81	tff('53', plain, (sk_Xp(sk_Xx0) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.81	    inference('clc', [status(thm)], ['52', '49'])).
0.61/0.81	tff('54', plain, (~ $true | ~ sk_Xp(sk_Xx02) | sk_Xp(sk_Xx0)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '53'])).
0.61/0.81	tff('55', plain, (sk_Xp(sk_Xx0) | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['54'])).
0.61/0.81	tff('56', plain, sk_Xp(sk_Xx0), inference('clc', [status(thm)], ['55', '50'])).
0.61/0.81	tff('57', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ $true
0.61/0.81	     | sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	     | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('demod', [status(thm)], ['33', '56'])).
0.61/0.81	tff('58', plain, (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2) | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['57'])).
0.61/0.81	tff('59', plain, (~ $true | ~ sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '58'])).
0.61/0.81	tff('60', plain, (sk_Xp(sk_Xx01) | ~ sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['59'])).
0.61/0.81	tff('61', plain,
0.61/0.81	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz) | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('62', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ sk_Xp(sk_Xx0)
0.61/0.81	     | sk_Xp(sk_Xx01)
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('sup-', [status(thm)], ['31', '61'])).
0.61/0.81	tff('63', plain,
0.61/0.81	    (~ $true | ~ $true | sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('demod', [status(thm)], ['62', '56'])).
0.61/0.81	tff('64', plain, (sk_Xp(sk_Xx02) | sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['63'])).
0.61/0.81	tff('65', plain, sk_Xp(sk_Xx01),
0.61/0.81	    inference('clc', [status(thm)], ['60', '64'])).
0.61/0.81	tff('66', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ $true
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X1)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X1, sk_Xx1)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('demod', [status(thm)], ['17', '65'])).
0.61/0.81	tff('67', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X1, sk_Xx1)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X1)),
0.61/0.81	    inference('simplify', [status(thm)], ['66'])).
0.61/0.81	tff('68', plain,
0.61/0.81	    ![X0 : a > b, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X0)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X0, sk_Xx1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('sup-', [status(thm)], ['0', '67'])).
0.61/0.81	tff('69', plain,
0.61/0.81	    ![X9 : a]:
0.61/0.81	      (~ sk_Xp(X9)
0.61/0.81	       | sk_Xe(X9, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('70', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '69'])).
0.61/0.81	tff('71', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['70'])).
0.61/0.81	tff('72', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ $true),
0.61/0.81	    inference('demod', [status(thm)], ['71', '65'])).
0.61/0.81	tff('73', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['72'])).
0.61/0.81	tff('74', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('sup-', [status(thm)], ['5', '73'])).
0.61/0.81	tff('75', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ $true
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('demod', [status(thm)], ['74', '65'])).
0.61/0.81	tff('76', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['75'])).
0.61/0.81	tff('77', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('eq_fact', [status(thm)], ['76'])).
0.61/0.81	tff('78', plain,
0.61/0.81	    ![X0 : a]: (~ sk_Xp(X0) | sk_Xe(X0, sk_Xy, sk_Xz) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['77'])).
0.61/0.81	tff('79', plain,
0.61/0.81	    ![X7 : a, X8 : a]:
0.61/0.81	      (~ sk_Xp(X7)
0.61/0.81	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('80', plain,
0.61/0.81	    ![X7 : a]:
0.61/0.81	      (~ sk_Xp(X7)
0.61/0.81	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('81', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ sk_Xp(sk_Xx01)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '80'])).
0.61/0.81	tff('82', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(sk_Xx01)),
0.61/0.81	    inference('simplify', [status(thm)], ['81'])).
0.61/0.81	tff('83', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ $true),
0.61/0.81	    inference('demod', [status(thm)], ['82', '65'])).
0.61/0.81	tff('84', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['83'])).
0.61/0.81	tff('85', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(sk_Xx01)
0.61/0.81	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('sup-', [status(thm)], ['79', '84'])).
0.61/0.81	tff('86', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ $true
0.61/0.81	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('demod', [status(thm)], ['85', '65'])).
0.61/0.81	tff('87', plain,
0.61/0.81	    ![X0 : a, X1 : a]:
0.61/0.81	      (sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['86'])).
0.61/0.81	tff('88', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('eq_fact', [status(thm)], ['87'])).
0.61/0.81	tff('89', plain,
0.61/0.81	    ![X0 : a]: (~ sk_Xp(X0) | sk_Xe(X0, sk_Xx, sk_Xy) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['88'])).
0.61/0.81	tff('90', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy, X1)
0.61/0.81	       | sk_Xe(X0, sk_Xx, X1)),
0.61/0.81	    inference('sup-', [status(thm)], ['89', '7'])).
0.61/0.81	tff('91', plain,
0.61/0.81	    ![X0 : a, X1 : a > b]:
0.61/0.81	      (sk_Xe(X0, sk_Xx, X1)
0.61/0.81	       | ~ sk_Xe(X0, sk_Xy, X1)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['90'])).
0.61/0.81	tff('92', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(X0)
0.61/0.81	       | sk_Xe(X0, sk_Xx, sk_Xz)),
0.61/0.81	    inference('sup-', [status(thm)], ['78', '91'])).
0.61/0.81	tff('93', plain,
0.61/0.81	    ![X0 : a]: (sk_Xe(X0, sk_Xx, sk_Xz) | ~ sk_Xp(X0) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['92'])).
0.61/0.81	tff('94', plain,
0.61/0.81	    ![X8 : a]:
0.61/0.81	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X8)
0.61/0.81	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.81	       | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('95', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ sk_Xp(sk_Xx0)
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('sup-', [status(thm)], ['93', '94'])).
0.61/0.81	tff('96', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | ~ $true
0.61/0.81	       | sk_Xp(sk_Xx02)
0.61/0.81	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.81	       | ~ sk_Xp(X0)),
0.61/0.81	    inference('demod', [status(thm)], ['95', '56'])).
0.61/0.81	tff('97', plain,
0.61/0.81	    ![X0 : a]: (~ sk_Xp(X0) | sk_Xe(X0, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['96'])).
0.61/0.81	tff('98', plain,
0.61/0.81	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.81	     | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.81	tff('99', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | ~ sk_Xp(sk_Xx0)
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.61/0.81	    inference('sup-', [status(thm)], ['93', '98'])).
0.61/0.81	tff('100', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | ~ $true
0.61/0.81	     | sk_Xp(sk_Xx02)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.61/0.81	    inference('demod', [status(thm)], ['99', '56'])).
0.61/0.81	tff('101', plain, (~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('simplify', [status(thm)], ['100'])).
0.61/0.81	tff('102', plain,
0.61/0.81	    (~ $true
0.61/0.81	     | ~ sk_Xp(sk_Xx01)
0.61/0.81	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.81	     | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('sup-', [status(thm)], ['1', '101'])).
0.61/0.81	tff('103', plain,
0.61/0.81	    (~ $true | ~ $true | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('demod', [status(thm)], ['102', '65'])).
0.61/0.81	tff('104', plain, (sk_Xp(sk_Xx02) | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.61/0.81	    inference('simplify', [status(thm)], ['103'])).
0.61/0.81	tff('105', plain,
0.61/0.81	    (~ $true | sk_Xp(sk_Xx02) | ~ sk_Xp(sk_Xx01) | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('sup-', [status(thm)], ['97', '104'])).
0.61/0.81	tff('106', plain, (~ $true | sk_Xp(sk_Xx02) | ~ $true | sk_Xp(sk_Xx02)),
0.61/0.81	    inference('demod', [status(thm)], ['105', '65'])).
0.61/0.81	tff('107', plain, sk_Xp(sk_Xx02),
0.61/0.81	    inference('simplify', [status(thm)], ['106'])).
0.61/0.81	tff('108', plain,
0.61/0.81	    ![X0 : a > b, X1 : a]:
0.61/0.81	      (~ $true
0.61/0.81	       | ~ $true
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X0)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X0, sk_Xx1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xp(X1)),
0.61/0.81	    inference('demod', [status(thm)], ['68', '107'])).
0.61/0.81	tff('109', plain,
0.61/0.81	    ![X0 : a > b, X1 : a]:
0.61/0.81	      (~ sk_Xp(X1)
0.61/0.81	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, X0, sk_Xx1)
0.61/0.81	       | ~ sk_Xe(sk_Xx01, sk_Xy1, X0)),
0.61/0.81	    inference('simplify', [status(thm)], ['108'])).
0.61/0.81	tff('110', plain,
0.61/0.81	    ![X0 : a]:
0.61/0.81	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx01)
0.61/0.82	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '109'])).
0.61/0.82	tff('111', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ $true
0.61/0.82	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('demod', [status(thm)], ['110', '65'])).
0.61/0.82	tff('112', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.61/0.82	    inference('simplify', [status(thm)], ['111'])).
0.61/0.82	tff('113', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx01)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['15', '112'])).
0.61/0.82	tff('114', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ $true
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('demod', [status(thm)], ['113', '65'])).
0.61/0.82	tff('115', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xy, sk_Xz)
0.61/0.82	       | sk_Xe(X1, sk_Xy, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('simplify', [status(thm)], ['114'])).
0.61/0.82	tff('116', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true | ~ sk_Xp(X0) | sk_Xe(X0, sk_Xy, sk_Xz) | ~ sk_Xp(X0)),
0.61/0.82	    inference('eq_fact', [status(thm)], ['115'])).
0.61/0.82	tff('117', plain, ![X0 : a]: (sk_Xe(X0, sk_Xy, sk_Xz) | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['116'])).
0.61/0.82	tff('118', plain,
0.61/0.82	    ![X7 : a, X8 : a]:
0.61/0.82	      (~ sk_Xp(X7)
0.61/0.82	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X8)
0.61/0.82	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.82	tff('119', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx02)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '118'])).
0.61/0.82	tff('120', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(sk_Xx02)),
0.61/0.82	    inference('simplify', [status(thm)], ['119'])).
0.61/0.82	tff('121', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('clc', [status(thm)], ['120', '79'])).
0.61/0.82	tff('122', plain,
0.61/0.82	    ![X0 : a, X1 : a > b, X2 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(X2)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xe(X0, sk_Xy1, X1)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, X1)),
0.61/0.82	    inference('sup-', [status(thm)], ['121', '7'])).
0.61/0.82	tff('123', plain,
0.61/0.82	    ![X0 : a, X1 : a > b, X2 : a]:
0.61/0.82	      (sk_Xe(X0, sk_Xx1, X1)
0.61/0.82	       | ~ sk_Xe(X0, sk_Xy1, X1)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X2)),
0.61/0.82	    inference('simplify', [status(thm)], ['122'])).
0.61/0.82	tff('124', plain,
0.61/0.82	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X2)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx1, X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['1', '123'])).
0.61/0.82	tff('125', plain,
0.61/0.82	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.82	      (sk_Xe(X1, sk_Xx1, X0)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X2)
0.61/0.82	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('simplify', [status(thm)], ['124'])).
0.61/0.82	tff('126', plain,
0.61/0.82	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X2)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, X0, sk_Xx1)),
0.61/0.82	    inference('sup-', [status(thm)], ['125', '1'])).
0.61/0.82	tff('127', plain,
0.61/0.82	    ![X0 : a > b, X1 : a, X2 : a]:
0.61/0.82	      (sk_Xe(X1, X0, sk_Xx1)
0.61/0.82	       | sk_Xe(X2, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X2)
0.61/0.82	       | ~ sk_Xe(X1, X0, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('simplify', [status(thm)], ['126'])).
0.61/0.82	tff('128', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | sk_Xe(X0, sk_Xy1, sk_Xx1)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '127'])).
0.61/0.82	tff('129', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (sk_Xe(X0, sk_Xy1, sk_Xx1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['128'])).
0.61/0.82	tff('130', plain,
0.61/0.82	    ![X7 : a]:
0.61/0.82	      (~ sk_Xp(X7)
0.61/0.82	       | sk_Xe(X7, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.82	tff('131', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx01)
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['129', '130'])).
0.61/0.82	tff('132', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ $true
0.61/0.82	       | ~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('demod', [status(thm)], ['131', '65'])).
0.61/0.82	tff('133', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('simplify', [status(thm)], ['132'])).
0.61/0.82	tff('134', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx02)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '133'])).
0.61/0.82	tff('135', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ $true
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X1)),
0.61/0.82	    inference('demod', [status(thm)], ['134', '107'])).
0.61/0.82	tff('136', plain,
0.61/0.82	    ![X0 : a, X1 : a]:
0.61/0.82	      (~ sk_Xp(X1)
0.61/0.82	       | sk_Xe(X1, sk_Xx, sk_Xy)
0.61/0.82	       | sk_Xe(X0, sk_Xx, sk_Xy)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['135'])).
0.61/0.82	tff('137', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true | ~ sk_Xp(X0) | sk_Xe(X0, sk_Xx, sk_Xy) | ~ sk_Xp(X0)),
0.61/0.82	    inference('eq_fact', [status(thm)], ['136'])).
0.61/0.82	tff('138', plain, ![X0 : a]: (sk_Xe(X0, sk_Xx, sk_Xy) | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['137'])).
0.61/0.82	tff('139', plain,
0.61/0.82	    ![X0 : a, X1 : a > b]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xp(X0)
0.61/0.82	       | ~ sk_Xe(X0, sk_Xy, X1)
0.61/0.82	       | sk_Xe(X0, sk_Xx, X1)),
0.61/0.82	    inference('sup-', [status(thm)], ['138', '7'])).
0.61/0.82	tff('140', plain,
0.61/0.82	    ![X0 : a, X1 : a > b]:
0.61/0.82	      (sk_Xe(X0, sk_Xx, X1) | ~ sk_Xe(X0, sk_Xy, X1) | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['139'])).
0.61/0.82	tff('141', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true | ~ sk_Xp(X0) | ~ sk_Xp(X0) | sk_Xe(X0, sk_Xx, sk_Xz)),
0.61/0.82	    inference('sup-', [status(thm)], ['117', '140'])).
0.61/0.82	tff('142', plain, ![X0 : a]: (sk_Xe(X0, sk_Xx, sk_Xz) | ~ sk_Xp(X0)),
0.61/0.82	    inference('simplify', [status(thm)], ['141'])).
0.61/0.82	tff('143', plain,
0.61/0.82	    ![X8 : a]:
0.61/0.82	      (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.61/0.82	       | ~ sk_Xp(X8)
0.61/0.82	       | sk_Xe(X8, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.82	tff('144', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ sk_Xp(sk_Xx0)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['142', '143'])).
0.61/0.82	tff('145', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true
0.61/0.82	       | ~ $true
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xp(X0)),
0.61/0.82	    inference('demod', [status(thm)], ['144', '56'])).
0.61/0.82	tff('146', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ sk_Xp(X0)
0.61/0.82	       | sk_Xe(X0, sk_Xx1, sk_Xy1)
0.61/0.82	       | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('simplify', [status(thm)], ['145'])).
0.61/0.82	tff('147', plain,
0.61/0.82	    ![X0 : a]:
0.61/0.82	      (~ $true | ~ sk_Xp(sk_Xx02) | sk_Xe(X0, sk_Xx1, sk_Xy1) | ~ sk_Xp(X0)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '146'])).
0.61/0.82	tff('148', plain,
0.61/0.82	    ![X0 : a]: (~ $true | ~ $true | sk_Xe(X0, sk_Xx1, sk_Xy1) | ~ sk_Xp(X0)),
0.61/0.82	    inference('demod', [status(thm)], ['147', '107'])).
0.61/0.82	tff('149', plain, ![X0 : a]: (~ sk_Xp(X0) | sk_Xe(X0, sk_Xx1, sk_Xy1)),
0.61/0.82	    inference('simplify', [status(thm)], ['148'])).
0.61/0.82	tff('150', plain,
0.61/0.82	    (~ sk_Xe(sk_Xx0, sk_Xx, sk_Xz)
0.61/0.82	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)
0.61/0.82	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.82	tff('151', plain,
0.61/0.82	    (~ $true
0.61/0.82	     | ~ sk_Xp(sk_Xx0)
0.61/0.82	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.61/0.82	    inference('sup-', [status(thm)], ['142', '150'])).
0.61/0.82	tff('152', plain,
0.61/0.82	    (~ $true
0.61/0.82	     | ~ $true
0.61/0.82	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)
0.61/0.82	     | ~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1)),
0.61/0.82	    inference('demod', [status(thm)], ['151', '56'])).
0.61/0.82	tff('153', plain,
0.61/0.82	    (~ sk_Xe(sk_Xx01, sk_Xy1, sk_Xx1) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('simplify', [status(thm)], ['152'])).
0.61/0.82	tff('154', plain,
0.61/0.82	    (~ $true
0.61/0.82	     | ~ sk_Xp(sk_Xx01)
0.61/0.82	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.82	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('sup-', [status(thm)], ['1', '153'])).
0.61/0.82	tff('155', plain,
0.61/0.82	    (~ $true
0.61/0.82	     | ~ $true
0.61/0.82	     | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)
0.61/0.82	     | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('demod', [status(thm)], ['154', '65'])).
0.61/0.82	tff('156', plain,
0.61/0.82	    (~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2) | ~ sk_Xe(sk_Xx01, sk_Xx1, sk_Xy1)),
0.61/0.82	    inference('simplify', [status(thm)], ['155'])).
0.61/0.82	tff('157', plain,
0.61/0.82	    (~ $true | ~ sk_Xp(sk_Xx01) | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('sup-', [status(thm)], ['149', '156'])).
0.61/0.82	tff('158', plain, (~ $true | ~ $true | ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2)),
0.61/0.82	    inference('demod', [status(thm)], ['157', '65'])).
0.61/0.82	tff('159', plain, ~ sk_Xe(sk_Xx02, sk_Xx2, sk_Xx2),
0.61/0.82	    inference('simplify', [status(thm)], ['158'])).
0.61/0.82	tff('160', plain, (~ $true | ~ sk_Xp(sk_Xx02)),
0.61/0.82	    inference('sup-', [status(thm)], ['0', '159'])).
0.61/0.82	tff('161', plain, (~ $true | ~ $true),
0.61/0.82	    inference('demod', [status(thm)], ['160', '107'])).
0.61/0.82	tff('162', plain, $false, inference('simplify', [status(thm)], ['161'])).
0.61/0.82	
0.61/0.82	% SZS output end Refutation
0.61/0.82	EOF
