0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n145.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:52:39 CST 2018
0.00/0.54	% done 358 iterations in 0.334s
0.00/0.54	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.54	% SZS output start Refutation
0.36/0.54	tff(cTHM525_pme, conjecture,
0.36/0.54	  (![Xr:((a * a) > $o)]:
0.36/0.54	     ((![Xx:a,Xy:a,Xz:a]:
0.36/0.54	         (((![Xq:(a > $o)]:
0.36/0.54	              (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.36/0.54	               Xq(Xz))) & 
0.36/0.54	           (![Xq:(a > $o)]:
0.36/0.54	              (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	               Xq(Xy)))) =>
0.36/0.54	          (![Xq:(a > $o)]:
0.36/0.54	             (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	               (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	              Xq(Xz))))) & 
0.36/0.54	      (![Xx:a,Xy:a]:
0.36/0.54	         (Xr(Xx,Xy) =>
0.36/0.54	          (![Xq:(a > $o)]:
0.36/0.54	             (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	               (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	              Xq(Xy)))))))).
0.36/0.54	tff(zf_stmt_0, negated_conjecture,
0.36/0.54	  (~
0.36/0.54	    (![Xr:((a * a) > $o)]:
0.36/0.54	       ((![Xx:a,Xy:a,Xz:a]:
0.36/0.54	           (((![Xq:(a > $o)]:
0.36/0.54	                (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                  (![Xw:a]: (Xr(Xy,Xw) => Xq(Xw)))) =>
0.36/0.54	                 Xq(Xz))) & 
0.36/0.54	             (![Xq:(a > $o)]:
0.36/0.54	                (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                  (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	                 Xq(Xy)))) =>
0.36/0.54	            (![Xq:(a > $o)]:
0.36/0.54	               (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                 (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	                Xq(Xz))))) & 
0.36/0.54	        (![Xx:a,Xy:a]:
0.36/0.54	           (Xr(Xx,Xy) =>
0.36/0.54	            (![Xq:(a > $o)]:
0.36/0.54	               (((![Xv:a,Xw:a]: ((Xr(Xv,Xw) & Xq(Xv)) => Xq(Xw))) & 
0.36/0.54	                 (![Xw:a]: (Xr(Xx,Xw) => Xq(Xw)))) =>
0.36/0.54	                Xq(Xy))))))))).
0.36/0.54	tff('0', plain,
0.36/0.54	    ![X4 : a > $o]:
0.36/0.54	      (X4(sk_Xv1(X4))
0.36/0.54	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.54	       | X4(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('1', plain,
0.36/0.54	    ![X6 : a, X7 : a]:
0.36/0.54	      (sk_Xq(X6) | ~ sk_Xr(X7, X6) | ~ sk_Xq(X7) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('2', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | X0(sk_Xv1(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | sk_Xq(sk_Xw2(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['0', '1'])).
0.36/0.54	tff('3', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw2(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | X0(sk_Xv1(X0))
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['2'])).
0.36/0.54	tff('4', plain,
0.36/0.54	    ![X4 : a > $o]:
0.36/0.54	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.54	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.54	       | X4(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('5', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.54	       | sk_Xq(sk_Xw3(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['4', '1'])).
0.36/0.54	tff('6', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw3(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.54	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['5'])).
0.36/0.54	tff('7', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.54	       | sk_Xq(sk_Xw3(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | sk_Xq(sk_Xw2(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['6', '1'])).
0.36/0.54	tff('8', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw2(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | sk_Xq(sk_Xw3(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['7'])).
0.36/0.54	tff('9', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (X0(sk_Xv(X0))
0.36/0.54	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('10', plain,
0.36/0.54	    ![X5 : a]: (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('11', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | X0(sk_Xv(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | sk_Xq(sk_Xw(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['9', '10'])).
0.36/0.54	tff('12', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw(X0)) | X0(sk_Xv(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['11'])).
0.36/0.54	tff('13', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.54	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('14', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | sk_Xq(sk_Xw1(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['13', '1'])).
0.36/0.54	tff('15', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw1(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['14'])).
0.36/0.54	tff('16', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | sk_Xq(sk_Xw1(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | sk_Xq(sk_Xw(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['15', '10'])).
0.36/0.54	tff('17', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw(X0))
0.36/0.54	       | sk_Xq(sk_Xw1(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['16'])).
0.36/0.54	tff('18', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ X0(sk_Xw1(X0))
0.36/0.54	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('19', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | ~ X0(sk_Xw1(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | sk_Xq(sk_Xw(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['18', '10'])).
0.36/0.54	tff('20', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw(X0))
0.36/0.54	       | ~ X0(sk_Xw1(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['19'])).
0.36/0.54	tff('21', plain,
0.36/0.54	    (~ $true
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.54	     | sk_Xq(sk_Xw(sk_Xq))
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xq(sk_Xw(sk_Xq))),
0.36/0.54	    inference('sup-', [status(thm)], ['17', '20'])).
0.36/0.54	tff('22', plain,
0.36/0.54	    (sk_Xq(sk_Xw(sk_Xq))
0.36/0.54	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['21'])).
0.36/0.54	tff('23', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.54	       | ~ X0(sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('24', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | ~ X0(sk_Xw(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | sk_Xq(sk_Xw1(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['23', '1'])).
0.36/0.54	tff('25', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw1(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.54	       | ~ X0(sk_Xw(X0))
0.36/0.54	       | X0(sk_Xy)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['24'])).
0.36/0.54	tff('26', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('27', plain,
0.36/0.54	    (~ $true
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.54	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | ~ sk_Xq(sk_Xw(sk_Xq))),
0.36/0.54	    inference('sup-', [status(thm)], ['25', '26'])).
0.36/0.54	tff('28', plain,
0.36/0.54	    (~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.54	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['27'])).
0.36/0.54	tff('29', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('30', plain,
0.36/0.54	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.36/0.54	    inference('clc', [status(thm)], ['28', '29'])).
0.36/0.54	tff('31', plain,
0.36/0.54	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xv(sk_Xq))),
0.36/0.54	    inference('clc', [status(thm)], ['22', '30'])).
0.36/0.54	tff('32', plain,
0.36/0.54	    (~ $true
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xq(sk_Xw(sk_Xq))
0.36/0.54	     | sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('sup-', [status(thm)], ['12', '31'])).
0.36/0.54	tff('33', plain,
0.36/0.54	    (sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['32'])).
0.36/0.54	tff('34', plain, (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xy)),
0.36/0.54	    inference('clc', [status(thm)], ['33', '30'])).
0.36/0.54	tff('35', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.54	       | sk_Xq(sk_Xw3(X0))
0.36/0.54	       | sk_Xq(sk_Xw2(X0))),
0.36/0.54	    inference('clc', [status(thm)], ['8', '34'])).
0.36/0.54	tff('36', plain,
0.36/0.54	    ![X4 : a > $o]:
0.36/0.54	      (~ X4(sk_Xw3(X4))
0.36/0.54	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.54	       | X4(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('37', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | ~ X0(sk_Xw3(X0))
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | sk_Xq(sk_Xw2(X0))),
0.36/0.54	    inference('sup-', [status(thm)], ['36', '1'])).
0.36/0.54	tff('38', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_Xq(sk_Xw2(X0))
0.36/0.54	       | ~ sk_Xq(sk_Xy)
0.36/0.54	       | ~ X0(sk_Xw3(X0))
0.36/0.54	       | X0(sk_Xz)
0.36/0.54	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.54	    inference('simplify', [status(thm)], ['37'])).
0.36/0.54	tff('39', plain,
0.36/0.54	    (~ $true
0.36/0.54	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.54	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.54	     | sk_Xq(sk_Xz)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xz)
0.36/0.54	     | ~ sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.54	    inference('sup-', [status(thm)], ['35', '38'])).
0.36/0.54	tff('40', plain,
0.36/0.54	    (~ sk_Xq(sk_Xy)
0.36/0.54	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.54	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['39'])).
0.36/0.55	tff('41', plain,
0.36/0.55	    (sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['40', '34'])).
0.36/0.55	tff('42', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('43', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['42', '1'])).
0.36/0.55	tff('44', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['43'])).
0.36/0.55	tff('45', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (~ X4(sk_Xw3(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('46', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('sup-', [status(thm)], ['44', '45'])).
0.36/0.55	tff('47', plain,
0.36/0.55	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['46'])).
0.36/0.55	tff('48', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (X4(sk_Xv1(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('49', plain,
0.36/0.55	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['47', '48'])).
0.36/0.55	tff('50', plain, (~ sk_Xq(sk_Xz) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('51', plain,
0.36/0.55	    ![X3 : a]: (~ sk_Xq(sk_Xz) | sk_Xq1(X3) | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('52', plain,
0.36/0.55	    (~ $true | ~ sk_Xq(sk_Xz) | sk_Xq1(sk_Xy1) | ~ sk_Xq(sk_Xz)),
0.36/0.55	    inference('sup-', [status(thm)], ['50', '51'])).
0.36/0.55	tff('53', plain, (sk_Xq1(sk_Xy1) | ~ sk_Xq(sk_Xz)),
0.36/0.55	    inference('simplify', [status(thm)], ['52'])).
0.36/0.55	tff('54', plain, (~ sk_Xq(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('55', plain, ~ sk_Xq(sk_Xz),
0.36/0.55	    inference('clc', [status(thm)], ['53', '54'])).
0.36/0.55	tff('56', plain, (~ sk_Xq(sk_Xw2(sk_Xq)) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['49', '55'])).
0.36/0.55	tff('57', plain,
0.36/0.55	    (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xv1(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['41', '56'])).
0.36/0.55	tff('58', plain, (~ sk_Xq(sk_Xv1(sk_Xq)) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['57', '55'])).
0.36/0.55	tff('59', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('sup-', [status(thm)], ['3', '58'])).
0.36/0.55	tff('60', plain,
0.36/0.55	    (sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['59'])).
0.36/0.55	tff('61', plain, (sk_Xr(sk_Xx1, sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xy)),
0.36/0.55	    inference('clc', [status(thm)], ['60', '56'])).
0.36/0.55	tff('62', plain, (~ sk_Xq(sk_Xy) | sk_Xr(sk_Xx1, sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['61', '55'])).
0.36/0.55	tff('63', plain, sk_Xr(sk_Xx1, sk_Xy1),
0.36/0.55	    inference('clc', [status(thm)], ['62', '34'])).
0.36/0.55	tff('64', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (X4(sk_Xv1(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('65', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xv1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '64'])).
0.36/0.55	tff('66', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv1(X0)) | sk_Xr(sk_Xy, sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['65'])).
0.36/0.55	tff('67', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('68', plain,
0.36/0.55	    ![X6 : a, X7 : a]:
0.36/0.55	      (sk_Xq(X6) | ~ sk_Xr(X7, X6) | ~ sk_Xq(X7) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('69', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['67', '68'])).
0.36/0.55	tff('70', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['69'])).
0.36/0.55	tff('71', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (~ X4(sk_Xw3(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('72', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '71'])).
0.36/0.55	tff('73', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw3(X0)) | ~ X0(sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['72'])).
0.36/0.55	tff('74', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (~ X4(sk_Xw3(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('75', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['73', '74'])).
0.36/0.55	tff('76', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)),
0.36/0.55	    inference('sup-', [status(thm)], ['70', '75'])).
0.36/0.55	tff('77', plain,
0.36/0.55	    (~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['76'])).
0.36/0.55	tff('78', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (X4(sk_Xv1(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('79', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xv1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '78'])).
0.36/0.55	tff('80', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv1(X0)) | ~ X0(sk_Xw2(X0)) | X0(sk_Xz) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['79'])).
0.36/0.55	tff('81', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (X4(sk_Xv1(X4)) | ~ X4(sk_Xw2(X4)) | X4(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('82', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | X0(sk_Xv1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['80', '81'])).
0.36/0.55	tff('83', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['77', '82'])).
0.36/0.55	tff('84', plain, (~ sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['83', '55'])).
0.36/0.55	tff('85', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (X4(sk_Xv1(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('86', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | X0(sk_Xv1(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['85', '68'])).
0.36/0.55	tff('87', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | X0(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['86'])).
0.36/0.55	tff('88', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('89', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['88', '68'])).
0.36/0.55	tff('90', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['89'])).
0.36/0.55	tff('91', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['90', '68'])).
0.36/0.55	tff('92', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['91'])).
0.36/0.55	tff('93', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('94', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['93', '68'])).
0.36/0.55	tff('95', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['94'])).
0.36/0.55	tff('96', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (~ X0(sk_Xw1(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('97', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['34', '96'])).
0.36/0.55	tff('98', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw1(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xy)),
0.36/0.55	    inference('simplify', [status(thm)], ['97'])).
0.36/0.55	tff('99', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('100', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xy) | X0(sk_Xy) | ~ X0(sk_Xw(X0)) | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['98', '99'])).
0.36/0.55	tff('101', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xy)),
0.36/0.55	    inference('sup-', [status(thm)], ['95', '100'])).
0.36/0.55	tff('102', plain,
0.36/0.55	    (~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['101'])).
0.36/0.55	tff('103', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('104', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['102', '103'])).
0.36/0.55	tff('105', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('106', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['105', '68'])).
0.36/0.55	tff('107', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['106'])).
0.36/0.55	tff('108', plain,
0.36/0.55	    ![X5 : a]: (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('109', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['107', '108'])).
0.36/0.55	tff('110', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['109'])).
0.36/0.55	tff('111', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('112', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['111', '108'])).
0.36/0.55	tff('113', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0)) | ~ X0(sk_Xw1(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['112'])).
0.36/0.55	tff('114', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xw(sk_Xq))),
0.36/0.55	    inference('sup-', [status(thm)], ['110', '113'])).
0.36/0.55	tff('115', plain,
0.36/0.55	    (sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['114'])).
0.36/0.55	tff('116', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv(X0)) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('117', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | X0(sk_Xv(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['116', '108'])).
0.36/0.55	tff('118', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0)) | X0(sk_Xv(X0)) | X0(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['117'])).
0.36/0.55	tff('119', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xy) | sk_Xq(sk_Xw(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['115', '118'])).
0.36/0.55	tff('120', plain, (sk_Xq(sk_Xy) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['104', '119'])).
0.36/0.55	tff('121', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['92', '120'])).
0.36/0.55	tff('122', plain,
0.36/0.55	    ![X4 : a > $o]:
0.36/0.55	      (~ X4(sk_Xw3(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('123', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['122', '68'])).
0.36/0.55	tff('124', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw3(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['123'])).
0.36/0.55	tff('125', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('sup-', [status(thm)], ['121', '124'])).
0.36/0.55	tff('126', plain,
0.36/0.55	    (~ sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['125'])).
0.36/0.55	tff('127', plain,
0.36/0.55	    (sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['126', '120'])).
0.36/0.55	tff('128', plain,
0.36/0.55	    (~ sk_Xq1(sk_Xy1) | ~ sk_Xq(sk_Xv1(sk_Xq)) | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['127', '55'])).
0.36/0.55	tff('129', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('sup-', [status(thm)], ['87', '128'])).
0.36/0.55	tff('130', plain,
0.36/0.55	    (sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq(sk_Xy) | sk_Xq(sk_Xz) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['129'])).
0.36/0.55	tff('131', plain, (~ sk_Xq1(sk_Xy1) | sk_Xq(sk_Xz) | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['130', '120'])).
0.36/0.55	tff('132', plain, (sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('clc', [status(thm)], ['131', '55'])).
0.36/0.55	tff('133', plain, ~ sk_Xq1(sk_Xy1),
0.36/0.55	    inference('clc', [status(thm)], ['84', '132'])).
0.36/0.55	tff('134', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | X0(sk_Xv1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['66', '133'])).
0.36/0.55	tff('135', plain,
0.36/0.55	    ![X3 : a, X6 : a, X7 : a]:
0.36/0.55	      (sk_Xq(X6)
0.36/0.55	       | ~ sk_Xr(X7, X6)
0.36/0.55	       | ~ sk_Xq(X7)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('136', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | X0(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['134', '135'])).
0.36/0.55	tff('137', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | X0(sk_Xv1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['136'])).
0.36/0.55	tff('138', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | X0(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '137'])).
0.36/0.55	tff('139', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | X0(sk_Xv1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['138'])).
0.36/0.55	tff('140', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv1(X0)) | X0(sk_Xz) | ~ sk_Xq(sk_Xy) | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['139', '133'])).
0.36/0.55	tff('141', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('142', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '141'])).
0.36/0.55	tff('143', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X0), sk_Xw3(X0))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['142'])).
0.36/0.55	tff('144', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['143', '133'])).
0.36/0.55	tff('145', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['144', '135'])).
0.36/0.55	tff('146', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['145'])).
0.36/0.55	tff('147', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '146'])).
0.36/0.55	tff('148', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['147'])).
0.36/0.55	tff('149', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['148', '133'])).
0.36/0.55	tff('150', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['149', '135'])).
0.36/0.55	tff('151', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('152', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '151'])).
0.36/0.55	tff('153', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['152'])).
0.36/0.55	tff('154', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['153', '133'])).
0.36/0.55	tff('155', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['154', '135'])).
0.36/0.55	tff('156', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['155'])).
0.36/0.55	tff('157', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '156'])).
0.36/0.55	tff('158', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['157'])).
0.36/0.55	tff('159', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['158', '133'])).
0.36/0.55	tff('160', plain,
0.36/0.55	    ![X3 : a, X5 : a]:
0.36/0.55	      (~ sk_Xr(sk_Xx, X5) | sk_Xq(X5) | sk_Xq1(X3) | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('161', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['159', '160'])).
0.36/0.55	tff('162', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['161'])).
0.36/0.55	tff('163', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '162'])).
0.36/0.55	tff('164', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['163'])).
0.36/0.55	tff('165', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0)) | ~ sk_Xq(sk_Xv(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['164', '133'])).
0.36/0.55	tff('166', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (~ X0(sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('167', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '166'])).
0.36/0.55	tff('168', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw1(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['167'])).
0.36/0.55	tff('169', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['168', '133'])).
0.36/0.55	tff('170', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw1(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['169', '160'])).
0.36/0.55	tff('171', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['170'])).
0.36/0.55	tff('172', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw1(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '171'])).
0.36/0.55	tff('173', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0)) | sk_Xq1(sk_Xy1) | X0(sk_Xy) | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['172'])).
0.36/0.55	tff('174', plain,
0.36/0.55	    ![X0 : a > $o]: (~ X0(sk_Xw1(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['173', '133'])).
0.36/0.55	tff('175', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)),
0.36/0.55	    inference('sup-', [status(thm)], ['165', '174'])).
0.36/0.55	tff('176', plain,
0.36/0.55	    (~ sk_Xq(sk_Xv(sk_Xq)) | sk_Xq(sk_Xy) | sk_Xq(sk_Xw(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['175'])).
0.36/0.55	tff('177', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (X0(sk_Xv(X0))
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('178', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xr(sk_Xx, sk_Xw(X0))
0.36/0.55	       | X0(sk_Xv(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '177'])).
0.36/0.55	tff('179', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv(X0)) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['178'])).
0.36/0.55	tff('180', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xy) | sk_Xr(sk_Xx, sk_Xw(X0)) | X0(sk_Xv(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['179', '133'])).
0.36/0.55	tff('181', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | X0(sk_Xv(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['180', '160'])).
0.36/0.55	tff('182', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | X0(sk_Xv(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['181'])).
0.36/0.55	tff('183', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | X0(sk_Xv(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '182'])).
0.36/0.55	tff('184', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw(X0)) | sk_Xq1(sk_Xy1) | X0(sk_Xy) | X0(sk_Xv(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['183'])).
0.36/0.55	tff('185', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xv(X0)) | X0(sk_Xy) | sk_Xq(sk_Xw(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['184', '133'])).
0.36/0.55	tff('186', plain, (sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy)),
0.36/0.55	    inference('clc', [status(thm)], ['176', '185'])).
0.36/0.55	tff('187', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('188', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '187'])).
0.36/0.55	tff('189', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv(X0), sk_Xw1(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['188'])).
0.36/0.55	tff('190', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | sk_Xr(sk_Xv(X0), sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['189', '133'])).
0.36/0.55	tff('191', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['190', '135'])).
0.36/0.55	tff('192', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['191'])).
0.36/0.55	tff('193', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '192'])).
0.36/0.55	tff('194', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw1(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['193'])).
0.36/0.55	tff('195', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw(X0)) | X0(sk_Xy) | ~ sk_Xq(sk_Xv(X0)) | sk_Xq(sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['194', '133'])).
0.36/0.55	tff('196', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '96'])).
0.36/0.55	tff('197', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw1(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['196'])).
0.36/0.55	tff('198', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | ~ X0(sk_Xw1(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['197', '99'])).
0.36/0.55	tff('199', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq(sk_Xv(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)
0.36/0.55	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xy)),
0.36/0.55	    inference('sup-', [status(thm)], ['195', '198'])).
0.36/0.55	tff('200', plain,
0.36/0.55	    (~ sk_Xq(sk_Xw(sk_Xq)) | sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xv(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['199'])).
0.36/0.55	tff('201', plain,
0.36/0.55	    ![X0 : a > $o, X3 : a]:
0.36/0.55	      (X0(sk_Xv(X0))
0.36/0.55	       | ~ X0(sk_Xw(X0))
0.36/0.55	       | X0(sk_Xy)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('202', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true | sk_Xq1(sk_Xy1) | X0(sk_Xy) | ~ X0(sk_Xw(X0)) | X0(sk_Xv(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '201'])).
0.36/0.55	tff('203', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xv(X0)) | ~ X0(sk_Xw(X0)) | X0(sk_Xy) | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['202'])).
0.36/0.55	tff('204', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xy) | ~ X0(sk_Xw(X0)) | X0(sk_Xv(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['203', '103'])).
0.36/0.55	tff('205', plain, (sk_Xq(sk_Xy) | ~ sk_Xq(sk_Xw(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['200', '204'])).
0.36/0.55	tff('206', plain, sk_Xq(sk_Xy),
0.36/0.55	    inference('clc', [status(thm)], ['186', '205'])).
0.36/0.55	tff('207', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ $true
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('demod', [status(thm)], ['150', '206'])).
0.36/0.55	tff('208', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['207'])).
0.36/0.55	tff('209', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '208'])).
0.36/0.55	tff('210', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['209'])).
0.36/0.55	tff('211', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['210', '133'])).
0.36/0.55	tff('212', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (~ X4(sk_Xw3(X4))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('213', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '212'])).
0.36/0.55	tff('214', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw3(X0))
0.36/0.55	       | sk_Xr(sk_Xy, sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['213'])).
0.36/0.55	tff('215', plain,
0.36/0.55	    ![X0 : a > $o]: (X0(sk_Xz) | sk_Xr(sk_Xy, sk_Xw2(X0)) | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['214', '133'])).
0.36/0.55	tff('216', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw3(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['215', '135'])).
0.36/0.55	tff('217', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['216'])).
0.36/0.55	tff('218', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw3(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '217'])).
0.36/0.55	tff('219', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw2(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xy)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw3(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['218'])).
0.36/0.55	tff('220', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw3(X0)) | X0(sk_Xz) | ~ sk_Xq(sk_Xy) | sk_Xq(sk_Xw2(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['219', '133'])).
0.36/0.55	tff('221', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xy)
0.36/0.55	     | sk_Xq(sk_Xz)),
0.36/0.55	    inference('sup-', [status(thm)], ['211', '220'])).
0.36/0.55	tff('222', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ $true
0.36/0.55	     | sk_Xq(sk_Xz)),
0.36/0.55	    inference('demod', [status(thm)], ['221', '206'])).
0.36/0.55	tff('223', plain,
0.36/0.55	    (~ sk_Xq(sk_Xv1(sk_Xq)) | sk_Xq(sk_Xz) | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['222'])).
0.36/0.55	tff('224', plain, (sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq(sk_Xv1(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['223', '55'])).
0.36/0.55	tff('225', plain,
0.36/0.55	    ![X3 : a, X4 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X4), sk_Xw3(X4))
0.36/0.55	       | ~ X4(sk_Xw2(X4))
0.36/0.55	       | X4(sk_Xz)
0.36/0.55	       | sk_Xq1(X3)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X3)),
0.36/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.55	tff('226', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '225'])).
0.36/0.55	tff('227', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xr(sk_Xv1(X0), sk_Xw3(X0))
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)),
0.36/0.55	    inference('simplify', [status(thm)], ['226'])).
0.36/0.55	tff('228', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (X0(sk_Xz) | ~ X0(sk_Xw2(X0)) | sk_Xr(sk_Xv1(X0), sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['227', '133'])).
0.36/0.55	tff('229', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['228', '135'])).
0.36/0.55	tff('230', plain,
0.36/0.55	    ![X0 : a > $o, X1 : a]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq1(X1)
0.36/0.55	       | ~ sk_Xr(sk_Xx1, X1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['229'])).
0.36/0.55	tff('231', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ $true
0.36/0.55	       | ~ X0(sk_Xw2(X0))
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('sup-', [status(thm)], ['63', '230'])).
0.36/0.55	tff('232', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (sk_Xq(sk_Xw3(X0))
0.36/0.55	       | ~ sk_Xq(sk_Xv1(X0))
0.36/0.55	       | sk_Xq1(sk_Xy1)
0.36/0.55	       | X0(sk_Xz)
0.36/0.55	       | ~ X0(sk_Xw2(X0))),
0.36/0.55	    inference('simplify', [status(thm)], ['231'])).
0.36/0.55	tff('233', plain,
0.36/0.55	    ![X0 : a > $o]:
0.36/0.55	      (~ X0(sk_Xw2(X0)) | X0(sk_Xz) | ~ sk_Xq(sk_Xv1(X0)) | sk_Xq(sk_Xw3(X0))),
0.36/0.55	    inference('clc', [status(thm)], ['232', '133'])).
0.36/0.55	tff('234', plain,
0.36/0.55	    (~ $true
0.36/0.55	     | ~ sk_Xq(sk_Xv1(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | ~ sk_Xq(sk_Xw2(sk_Xq))
0.36/0.55	     | sk_Xq(sk_Xz)),
0.36/0.55	    inference('sup-', [status(thm)], ['233', '75'])).
0.36/0.55	tff('235', plain,
0.36/0.55	    (~ sk_Xq(sk_Xw2(sk_Xq)) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xv1(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['234'])).
0.36/0.55	tff('236', plain, (~ sk_Xq(sk_Xv1(sk_Xq)) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('clc', [status(thm)], ['235', '55'])).
0.36/0.55	tff('237', plain,
0.36/0.55	    (~ $true | ~ sk_Xq(sk_Xw2(sk_Xq)) | sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('sup-', [status(thm)], ['82', '236'])).
0.36/0.55	tff('238', plain, (sk_Xq(sk_Xz) | ~ sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['237'])).
0.36/0.55	tff('239', plain, ~ sk_Xq(sk_Xw2(sk_Xq)),
0.36/0.55	    inference('clc', [status(thm)], ['238', '55'])).
0.36/0.55	tff('240', plain, ~ sk_Xq(sk_Xv1(sk_Xq)),
0.36/0.55	    inference('clc', [status(thm)], ['224', '239'])).
0.36/0.55	tff('241', plain,
0.36/0.55	    (~ $true | sk_Xq(sk_Xw2(sk_Xq)) | ~ sk_Xq(sk_Xy) | sk_Xq(sk_Xz)),
0.36/0.55	    inference('sup-', [status(thm)], ['140', '240'])).
0.36/0.55	tff('242', plain, (~ $true | sk_Xq(sk_Xw2(sk_Xq)) | ~ $true | sk_Xq(sk_Xz)),
0.36/0.55	    inference('demod', [status(thm)], ['241', '206'])).
0.36/0.55	tff('243', plain, (sk_Xq(sk_Xz) | sk_Xq(sk_Xw2(sk_Xq))),
0.36/0.55	    inference('simplify', [status(thm)], ['242'])).
0.36/0.55	tff('244', plain, sk_Xq(sk_Xw2(sk_Xq)),
0.36/0.55	    inference('clc', [status(thm)], ['243', '55'])).
0.36/0.55	tff('245', plain, ~ $true, inference('sup-', [status(thm)], ['244', '239'])).
0.36/0.55	tff('246', plain, $false, inference('simplify', [status(thm)], ['245'])).
0.36/0.55	
0.36/0.55	% SZS output end Refutation
0.36/0.55	EOF
