0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --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   : n158.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 17:52:24 CST 2018
0.00/0.34	% done 234 iterations in 0.147s
0.00/0.34	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.34	% SZS output start Refutation
0.00/0.35	tff(cTHM525_pme, conjecture,
0.00/0.35	  (![Xr:((a * a) > $o)]:
0.00/0.35	     ((![Xx:a,Xy:a,Xz:a]:
0.00/0.35	         (((![Xq:(a > $o)]:
0.00/0.35	              (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.00/0.35	               Xq(Xz))) & 
0.00/0.35	           (![Xq:(a > $o)]:
0.00/0.35	              (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	               Xq(Xy)))) =>
0.00/0.35	          (![Xq:(a > $o)]:
0.00/0.35	             (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	               (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	              Xq(Xz))))) & 
0.00/0.35	      (![Xx:a,Xy:a]:
0.00/0.35	         (Xr(Xx,Xy) =>
0.00/0.35	          (![Xq:(a > $o)]:
0.00/0.35	             (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	               (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	              Xq(Xy)))))))).
0.00/0.35	tff(zf_stmt_0, negated_conjecture,
0.00/0.35	  (~
0.00/0.35	    (![Xr:((a * a) > $o)]:
0.00/0.35	       ((![Xx:a,Xy:a,Xz:a]:
0.00/0.35	           (((![Xq:(a > $o)]:
0.00/0.35	                (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                  (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.00/0.35	                 Xq(Xz))) & 
0.00/0.35	             (![Xq:(a > $o)]:
0.00/0.35	                (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                  (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	                 Xq(Xy)))) =>
0.00/0.35	            (![Xq:(a > $o)]:
0.00/0.35	               (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                 (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	                Xq(Xz))))) & 
0.00/0.35	        (![Xx:a,Xy:a]:
0.00/0.35	           (Xr(Xx,Xy) =>
0.00/0.35	            (![Xq:(a > $o)]:
0.00/0.35	               (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.00/0.35	                 (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.00/0.35	                Xq(Xy))))))))).
0.00/0.35	tff('0', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('1', plain,
0.00/0.35	    ![X6 : a, X7 : a]:
0.00/0.35	      (sk_Xq(X6) | ~ sk_Xr(X7, X6) | ~ sk_Xq(X7) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('2', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.35	tff('3', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['2'])).
0.00/0.35	tff('4', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('5', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.35	tff('6', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['5'])).
0.00/0.35	tff('7', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('8', plain,
0.00/0.35	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['6', '7'])).
0.00/0.35	tff('9', plain, (~ sk_Xq(sk_Xz) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('10', plain, (sk_Xr(sk_Xy, sk_Xw2(sk_Xq)) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['8', '9'])).
0.00/0.35	tff('11', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | ~ sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['10', '1'])).
0.00/0.35	tff('12', plain,
0.00/0.35	    (sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['11'])).
0.00/0.35	tff('13', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('14', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['13', '1'])).
0.00/0.35	tff('15', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['14'])).
0.00/0.35	tff('16', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('17', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.35	tff('18', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['17'])).
0.00/0.35	tff('19', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('20', plain,
0.00/0.35	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['18', '19'])).
0.00/0.35	tff('21', plain, (~ sk_Xq(sk_Xw2(sk_Xq)) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['20', '9'])).
0.00/0.35	tff('22', plain, (sk_Xr(sk_Xx1, sk_Xy1) | ~ sk_Xq(sk_Xy)),
0.00/0.35	    inference('clc', [status(thm)], ['12', '21'])).
0.00/0.35	tff('23', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('24', plain,
0.00/0.35	    ![X5 : a]: (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('25', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['23', '24'])).
0.00/0.35	tff('26', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['25'])).
0.00/0.35	tff('27', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['26', '1'])).
0.00/0.35	tff('28', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['27'])).
0.00/0.35	tff('29', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('30', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['29', '24'])).
0.00/0.35	tff('31', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | ~ X0(sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['30'])).
0.00/0.35	tff('32', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['28', '31'])).
0.00/0.35	tff('33', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['32'])).
0.00/0.35	tff('34', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('35', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | X0(sk_Xv(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['34', '24'])).
0.00/0.35	tff('36', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | X0(sk_Xv(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['35'])).
0.00/0.35	tff('37', plain,
0.00/0.35	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xy) | sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['33', '36'])).
0.00/0.35	tff('38', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('39', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['38', '1'])).
0.00/0.35	tff('40', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['39'])).
0.00/0.35	tff('41', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('42', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['40', '41'])).
0.00/0.35	tff('43', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['42'])).
0.00/0.35	tff('44', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('45', plain,
0.00/0.35	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['43', '44'])).
0.00/0.35	tff('46', plain, (sk_Xq(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['37', '45'])).
0.00/0.35	tff('47', plain, sk_Xr(sk_Xx1, sk_Xy1),
0.00/0.35	    inference('clc', [status(thm)], ['22', '46'])).
0.00/0.35	tff('48', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('49', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '48'])).
0.00/0.35	tff('50', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X0), sk_Xw3(X0))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['49'])).
0.00/0.35	tff('51', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('52', plain,
0.00/0.35	    ![X6 : a, X7 : a]:
0.00/0.35	      (sk_Xq(X6) | ~ sk_Xr(X7, X6) | ~ sk_Xq(X7) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('53', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['51', '52'])).
0.00/0.35	tff('54', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['53'])).
0.00/0.35	tff('55', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('56', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['54', '55'])).
0.00/0.35	tff('57', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['56'])).
0.00/0.35	tff('58', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('59', plain,
0.00/0.35	    (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['57', '58'])).
0.00/0.35	tff('60', plain, (~ sk_Xq(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('61', plain, (sk_Xr(sk_Xy, sk_Xw2(sk_Xq)) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['59', '60'])).
0.00/0.35	tff('62', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | ~ sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['61', '52'])).
0.00/0.35	tff('63', plain, (sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['62'])).
0.00/0.35	tff('64', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('65', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['64', '52'])).
0.00/0.35	tff('66', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['65'])).
0.00/0.35	tff('67', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('68', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['66', '67'])).
0.00/0.35	tff('69', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['68'])).
0.00/0.35	tff('70', plain,
0.00/0.35	    ![X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('71', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['69', '70'])).
0.00/0.35	tff('72', plain, (~ sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['71', '60'])).
0.00/0.35	tff('73', plain, (~ sk_Xq1(sk_Xy1) | ~ sk_Xq(sk_Xy)),
0.00/0.35	    inference('clc', [status(thm)], ['63', '72'])).
0.00/0.35	tff('74', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('75', plain,
0.00/0.35	    ![X5 : a]: (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('76', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['74', '75'])).
0.00/0.35	tff('77', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['76'])).
0.00/0.35	tff('78', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['77', '52'])).
0.00/0.35	tff('79', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['78'])).
0.00/0.35	tff('80', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('81', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['80', '75'])).
0.00/0.35	tff('82', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | ~ X0(sk_Xw1(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['81'])).
0.00/0.35	tff('83', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['79', '82'])).
0.00/0.35	tff('84', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['83'])).
0.00/0.35	tff('85', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0)) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('86', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | X0(sk_Xv(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['85', '75'])).
0.00/0.35	tff('87', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | X0(sk_Xv(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['86'])).
0.00/0.35	tff('88', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy) | sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['84', '87'])).
0.00/0.35	tff('89', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('90', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['89', '52'])).
0.00/0.35	tff('91', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['90'])).
0.00/0.35	tff('92', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('93', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['91', '92'])).
0.00/0.35	tff('94', plain,
0.00/0.35	    (~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['93'])).
0.00/0.35	tff('95', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('96', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['94', '95'])).
0.00/0.35	tff('97', plain, (sk_Xq(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('clc', [status(thm)], ['88', '96'])).
0.00/0.35	tff('98', plain, ~ sk_Xq1(sk_Xy1),
0.00/0.35	    inference('clc', [status(thm)], ['73', '97'])).
0.00/0.35	tff('99', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['50', '98'])).
0.00/0.35	tff('100', plain,
0.00/0.35	    ![X3 : a, X6 : a, X7 : a]:
0.00/0.35	      (sk_Xq(X6)
0.00/0.35	       | ~ sk_Xr(X7, X6)
0.00/0.35	       | ~ sk_Xq(X7)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('101', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['99', '100'])).
0.00/0.35	tff('102', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['101'])).
0.00/0.35	tff('103', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '102'])).
0.00/0.35	tff('104', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['103'])).
0.00/0.35	tff('105', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['104', '98'])).
0.00/0.35	tff('106', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('107', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | ~ X0(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '106'])).
0.00/0.35	tff('108', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw3(X0))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['107'])).
0.00/0.35	tff('109', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | ~ X0(sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['108', '98'])).
0.00/0.35	tff('110', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)),
0.00/0.35	    inference('sup-', [status(thm)], ['105', '109'])).
0.00/0.35	tff('111', plain,
0.00/0.35	    (sk_Xr(sk_Xy, sk_Xw2(sk_Xq)) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xv1(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['110'])).
0.00/0.35	tff('112', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4))
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('113', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xv1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '112'])).
0.00/0.35	tff('114', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv1(X0)) | sk_Xr(sk_Xy, sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['113'])).
0.00/0.35	tff('115', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | X0(sk_Xv1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['114', '98'])).
0.00/0.35	tff('116', plain, (sk_Xq(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['111', '115'])).
0.00/0.35	tff('117', plain,
0.00/0.35	    ![X3 : a]: (~ sk_Xq(sk_Xz) | sk_Xq1(X3) | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('118', plain,
0.00/0.35	    ![X0 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X0)
0.00/0.35	       | sk_Xq1(X0)),
0.00/0.35	    inference('sup-', [status(thm)], ['116', '117'])).
0.00/0.35	tff('119', plain,
0.00/0.35	    ![X0 : a]:
0.00/0.35	      (sk_Xq1(X0) | ~ sk_Xr(sk_Xx1, X0) | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['118'])).
0.00/0.35	tff('120', plain, (~ $true | sk_Xr(sk_Xy, sk_Xw2(sk_Xq)) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '119'])).
0.00/0.35	tff('121', plain, (sk_Xq1(sk_Xy1) | sk_Xr(sk_Xy, sk_Xw2(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['120'])).
0.00/0.35	tff('122', plain, sk_Xr(sk_Xy, sk_Xw2(sk_Xq)),
0.00/0.35	    inference('clc', [status(thm)], ['121', '98'])).
0.00/0.35	tff('123', plain,
0.00/0.35	    ![X0 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X0)
0.00/0.35	       | sk_Xq1(X0)
0.00/0.35	       | ~ sk_Xq(sk_Xy)
0.00/0.35	       | sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['122', '100'])).
0.00/0.35	tff('124', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (X0(sk_Xv(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('125', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xv(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '124'])).
0.00/0.35	tff('126', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0)) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['125'])).
0.00/0.35	tff('127', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xv(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['126', '98'])).
0.00/0.35	tff('128', plain,
0.00/0.35	    ![X3 : a, X5 : a]:
0.00/0.35	      (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | sk_Xq1(X3) | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('129', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | X0(sk_Xv(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['127', '128'])).
0.00/0.35	tff('130', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | X0(sk_Xv(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['129'])).
0.00/0.35	tff('131', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | X0(sk_Xv(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '130'])).
0.00/0.35	tff('132', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | sk_Xq1(sk_Xy1) | X0(sk_Xy) | X0(sk_Xv(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['131'])).
0.00/0.35	tff('133', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xv(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['132', '98'])).
0.00/0.35	tff('134', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('135', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '134'])).
0.00/0.35	tff('136', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['135'])).
0.00/0.35	tff('137', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['136', '98'])).
0.00/0.35	tff('138', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['137', '128'])).
0.00/0.35	tff('139', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['138'])).
0.00/0.35	tff('140', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '139'])).
0.00/0.35	tff('141', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['140'])).
0.00/0.35	tff('142', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['141', '98'])).
0.00/0.35	tff('143', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['142', '100'])).
0.00/0.35	tff('144', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['143'])).
0.00/0.35	tff('145', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '144'])).
0.00/0.35	tff('146', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['145'])).
0.00/0.35	tff('147', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq(sk_Xv(X0)) | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['146', '98'])).
0.00/0.35	tff('148', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (~ X0(sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('149', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '148'])).
0.00/0.35	tff('150', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0))
0.00/0.35	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['149'])).
0.00/0.35	tff('151', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['150', '98'])).
0.00/0.35	tff('152', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['151', '128'])).
0.00/0.35	tff('153', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['152'])).
0.00/0.35	tff('154', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw1(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '153'])).
0.00/0.35	tff('155', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw(X0)) | sk_Xq1(sk_Xy1) | X0(sk_Xy) | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['154'])).
0.00/0.35	tff('156', plain,
0.00/0.35	    ![X0 : a > $o]: (~ X0(sk_Xw1(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['155', '98'])).
0.00/0.35	tff('157', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)),
0.00/0.35	    inference('sup-', [status(thm)], ['147', '156'])).
0.00/0.35	tff('158', plain,
0.00/0.35	    (sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xv(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['157'])).
0.00/0.35	tff('159', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('160', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '159'])).
0.00/0.35	tff('161', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['160'])).
0.00/0.35	tff('162', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['161', '98'])).
0.00/0.35	tff('163', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['162', '100'])).
0.00/0.35	tff('164', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['163'])).
0.00/0.35	tff('165', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '164'])).
0.00/0.35	tff('166', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw1(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv(X0))
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['165'])).
0.00/0.35	tff('167', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq(sk_Xv(X0)) | sk_Xq(sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['166', '98'])).
0.00/0.35	tff('168', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (~ X0(sk_Xw1(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('169', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '168'])).
0.00/0.35	tff('170', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['169'])).
0.00/0.35	tff('171', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | ~ X0(sk_Xw1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['170', '98'])).
0.00/0.35	tff('172', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xy)),
0.00/0.35	    inference('sup-', [status(thm)], ['167', '171'])).
0.00/0.35	tff('173', plain,
0.00/0.35	    (~ sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xv(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['172'])).
0.00/0.35	tff('174', plain,
0.00/0.35	    ![X0 : a > $o, X3 : a]:
0.00/0.35	      (X0(sk_Xv(X0))
0.00/0.35	       | ~ X0(sk_Xw(X0))
0.00/0.35	       | X0(sk_Xy)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('175', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true | sk_Xq1(sk_Xy1) | X0(sk_Xy) | ~ X0(sk_Xw(X0)) | X0(sk_Xv(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '174'])).
0.00/0.35	tff('176', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['175'])).
0.00/0.35	tff('177', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | X0(sk_Xv(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['176', '98'])).
0.00/0.35	tff('178', plain, (sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['173', '177'])).
0.00/0.35	tff('179', plain, (~ sk_Xq(sk_Xv(sk_Xq)) | sk_Xq(sk_Xy)),
0.00/0.35	    inference('clc', [status(thm)], ['158', '178'])).
0.00/0.35	tff('180', plain,
0.00/0.35	    (~ $true | sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy) | sk_Xq(sk_Xy)),
0.00/0.35	    inference('sup-', [status(thm)], ['133', '179'])).
0.00/0.35	tff('181', plain, (sk_Xq(sk_Xy) | sk_Xq(sk_Xw(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['180'])).
0.00/0.35	tff('182', plain, sk_Xq(sk_Xy),
0.00/0.35	    inference('clc', [status(thm)], ['181', '178'])).
0.00/0.35	tff('183', plain,
0.00/0.35	    ![X0 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X0)
0.00/0.35	       | sk_Xq1(X0)
0.00/0.35	       | ~ $true
0.00/0.35	       | sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('demod', [status(thm)], ['123', '182'])).
0.00/0.35	tff('184', plain,
0.00/0.35	    ![X0 : a]: (sk_Xq(sk_Xw2(sk_Xq)) | sk_Xq1(X0) | ~ sk_Xr(sk_Xx1, X0)),
0.00/0.35	    inference('simplify', [status(thm)], ['183'])).
0.00/0.35	tff('185', plain, (~ $true | sk_Xq1(sk_Xy1) | sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '184'])).
0.00/0.35	tff('186', plain, (sk_Xq(sk_Xw2(sk_Xq)) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['185'])).
0.00/0.35	tff('187', plain, sk_Xq(sk_Xw2(sk_Xq)),
0.00/0.35	    inference('clc', [status(thm)], ['186', '98'])).
0.00/0.35	tff('188', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('189', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '188'])).
0.00/0.35	tff('190', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xr(sk_Xv1(X0), sk_Xw3(X0))
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['189'])).
0.00/0.35	tff('191', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['190', '98'])).
0.00/0.35	tff('192', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['191', '100'])).
0.00/0.35	tff('193', plain,
0.00/0.35	    ![X0 : a > $o, X1 : a]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq1(X1)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['192'])).
0.00/0.35	tff('194', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '193'])).
0.00/0.35	tff('195', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (sk_Xq(sk_Xw3(X0))
0.00/0.35	       | ~ sk_Xq(sk_Xv1(X0))
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))),
0.00/0.35	    inference('simplify', [status(thm)], ['194'])).
0.00/0.35	tff('196', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw2(X0)) | X0(sk_Xz) | ~ sk_Xq(sk_Xv1(X0)) | sk_Xq(sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['195', '98'])).
0.00/0.35	tff('197', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (~ X4(sk_Xw3(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('198', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | ~ X0(sk_Xw3(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '197'])).
0.00/0.35	tff('199', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ X0(sk_Xw3(X0)) | ~ X0(sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['198'])).
0.00/0.35	tff('200', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | ~ X0(sk_Xw3(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['199', '98'])).
0.00/0.35	tff('201', plain,
0.00/0.35	    (~ $true
0.00/0.35	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.00/0.35	     | sk_Xq(sk_Xz)),
0.00/0.35	    inference('sup-', [status(thm)], ['196', '200'])).
0.00/0.35	tff('202', plain,
0.00/0.35	    (~ sk_Xq(sk_Xw2(sk_Xq)) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xv1(sk_Xq))),
0.00/0.35	    inference('simplify', [status(thm)], ['201'])).
0.00/0.35	tff('203', plain,
0.00/0.35	    ![X3 : a, X4 : a > $o]:
0.00/0.35	      (X4(sk_Xv1(X4))
0.00/0.35	       | ~ X4(sk_Xw2(X4))
0.00/0.35	       | X4(sk_Xz)
0.00/0.35	       | sk_Xq1(X3)
0.00/0.35	       | ~ sk_Xr(sk_Xx1, X3)),
0.00/0.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.35	tff('204', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (~ $true
0.00/0.35	       | sk_Xq1(sk_Xy1)
0.00/0.35	       | X0(sk_Xz)
0.00/0.35	       | ~ X0(sk_Xw2(X0))
0.00/0.35	       | X0(sk_Xv1(X0))),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '203'])).
0.00/0.35	tff('205', plain,
0.00/0.35	    ![X0 : a > $o]:
0.00/0.35	      (X0(sk_Xv1(X0)) | ~ X0(sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('simplify', [status(thm)], ['204'])).
0.00/0.35	tff('206', plain,
0.00/0.35	    ![X0 : a > $o]: (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | X0(sk_Xv1(X0))),
0.00/0.35	    inference('clc', [status(thm)], ['205', '98'])).
0.00/0.35	tff('207', plain, (sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.00/0.35	    inference('clc', [status(thm)], ['202', '206'])).
0.00/0.35	tff('208', plain, (~ $true | sk_Xq(sk_Xz)),
0.00/0.35	    inference('sup-', [status(thm)], ['187', '207'])).
0.00/0.35	tff('209', plain, sk_Xq(sk_Xz), inference('simplify', [status(thm)], ['208'])).
0.00/0.35	tff('210', plain, ![X0 : a]: (~ $true | ~ sk_Xr(sk_Xx1, X0) | sk_Xq1(X0)),
0.00/0.35	    inference('sup-', [status(thm)], ['209', '117'])).
0.00/0.35	tff('211', plain, ![X0 : a]: (sk_Xq1(X0) | ~ sk_Xr(sk_Xx1, X0)),
0.00/0.35	    inference('simplify', [status(thm)], ['210'])).
0.00/0.35	tff('212', plain, (~ $true | sk_Xq1(sk_Xy1)),
0.00/0.35	    inference('sup-', [status(thm)], ['47', '211'])).
0.00/0.35	tff('213', plain, sk_Xq1(sk_Xy1),
0.00/0.35	    inference('simplify', [status(thm)], ['212'])).
0.00/0.35	tff('214', plain, ~ $true, inference('sup-', [status(thm)], ['213', '98'])).
0.00/0.35	tff('215', plain, $false, inference('simplify', [status(thm)], ['214'])).
0.00/0.35	
0.00/0.35	% SZS output end Refutation
0.00/0.35	EOF
