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_ext
0.00/0.01	% Ordering    : rpo6
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	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
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   : n122.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 17:18:54 CST 2018
0.00/0.24	% done 57 iterations in 0.036s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(breln1invprop, axiom,
0.00/0.24	  (breln1invprop <=> (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R)))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X7, X8]:
0.00/0.24	      (~ breln1(X7, X8) | breln1(X7, breln1invset(X7, X8)) | ~ breln1invprop),
0.00/0.24	    inference('cnf', [status(esa)], [breln1invprop])).
0.00/0.24	tff(woz2Ex, conjecture,
0.00/0.24	  (setextsub =>
0.00/0.24	   (subbreln1 =>
0.00/0.24	    (breln1invprop =>
0.00/0.24	     (breln1invI =>
0.00/0.24	      (breln1invE =>
0.00/0.24	       (![A,R]: (breln1(A,R) => (R = breln1invset(A,breln1invset(A,R))))))))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (setextsub =>
0.00/0.24	     (subbreln1 =>
0.00/0.24	      (breln1invprop =>
0.00/0.24	       (breln1invI =>
0.00/0.24	        (breln1invE =>
0.00/0.24	         (![A,R]: (breln1(A,R) => (R = breln1invset(A,breln1invset(A,R)))))))))))).
0.00/0.24	tff('1', plain, breln1invprop, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X7, X8]:
0.00/0.24	      (~ breln1(X7, X8) | breln1(X7, breln1invset(X7, X8)) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X7, X8]: (breln1(X7, breln1invset(X7, X8)) | ~ breln1(X7, X8)),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff(subbreln1, axiom,
0.00/0.24	  (subbreln1 <=>
0.00/0.24	   (![A,R]:
0.00/0.24	      (breln1(A,R) =>
0.00/0.24	       (![S]:
0.00/0.24	          (breln1(A,S) =>
0.00/0.24	           ((![Xx]:
0.00/0.24	               (in(Xx,A) =>
0.00/0.24	                (![Xy]:
0.00/0.24	                   (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) =>
0.00/0.24	            subset(R,S)))))))).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(sk_Xy(X4, X3, X2), X2)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ subbreln1),
0.00/0.24	    inference('cnf', [status(esa)], [subbreln1])).
0.00/0.24	tff('5', plain, subbreln1, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(sk_Xy(X4, X3, X2), X2)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | in(sk_Xy(X4, X3, X2), X2)
0.00/0.24	       | ~ breln1(X2, X3)),
0.00/0.24	    inference('simplify', [status(thm)], ['6'])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X3)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ subbreln1),
0.00/0.24	    inference('cnf', [status(esa)], [subbreln1])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X3)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['8', '5'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X3)
0.00/0.24	       | ~ breln1(X2, X3)),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff(breln1invE, axiom,
0.00/0.24	  (breln1invE <=>
0.00/0.24	   (![A,R]:
0.00/0.24	      (breln1(A,R) =>
0.00/0.24	       (![Xx]:
0.00/0.24	          (in(Xx,A) =>
0.00/0.24	           (![Xy]:
0.00/0.24	              (in(Xy,A) =>
0.00/0.24	               (in(kpair(Xy,Xx),breln1invset(A,R)) => in(kpair(Xx,Xy),R)))))))))).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ breln1(X13, X14)
0.00/0.24	       | ~ in(X15, X13)
0.00/0.24	       | in(kpair(X16, X15), X14)
0.00/0.24	       | ~ in(kpair(X15, X16), breln1invset(X13, X14))
0.00/0.24	       | ~ in(X16, X13)
0.00/0.24	       | ~ breln1invE),
0.00/0.24	    inference('cnf', [status(esa)], [breln1invE])).
0.00/0.24	tff('12', plain, breln1invE, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ breln1(X13, X14)
0.00/0.24	       | ~ in(X15, X13)
0.00/0.24	       | in(kpair(X16, X15), X14)
0.00/0.24	       | ~ in(kpair(X15, X16), breln1invset(X13, X14))
0.00/0.24	       | ~ in(X16, X13)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X13, X14, X15, X16]:
0.00/0.24	      (~ in(X16, X13)
0.00/0.24	       | ~ in(kpair(X15, X16), breln1invset(X13, X14))
0.00/0.24	       | in(kpair(X16, X15), X14)
0.00/0.24	       | ~ in(X15, X13)
0.00/0.24	       | ~ breln1(X13, X14)),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X2, breln1invset(X1, X0))
0.00/0.24	       | subset(breln1invset(X1, X0), X3)
0.00/0.24	       | ~ breln1(X2, X3)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ in(sk_Xx(X3, breln1invset(X1, X0), X2), X1)
0.00/0.24	       | in(
0.00/0.24	           kpair(sk_Xy(X3, breln1invset(X1, X0), X2), 
0.00/0.24	             sk_Xx(X3, breln1invset(X1, X0), X2)), X0)
0.00/0.24	       | ~ in(sk_Xy(X3, breln1invset(X1, X0), X2), X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ in(sk_Xy(X3, breln1invset(X1, X0), X2), X1)
0.00/0.24	       | in(
0.00/0.24	           kpair(sk_Xy(X3, breln1invset(X1, X0), X2), 
0.00/0.24	             sk_Xx(X3, breln1invset(X1, X0), X2)), X0)
0.00/0.24	       | ~ in(sk_Xx(X3, breln1invset(X1, X0), X2), X1)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X2, X3)
0.00/0.24	       | subset(breln1invset(X1, X0), X3)
0.00/0.24	       | ~ breln1(X2, breln1invset(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X2, breln1invset(X3, breln1invset(X1, X0)))
0.00/0.24	       | subset(breln1invset(X3, breln1invset(X1, X0)), X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ breln1(X3, breln1invset(X1, X0))
0.00/0.24	       | ~ in(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X3)
0.00/0.24	       | ~ in(sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X3)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ in(sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X1)
0.00/0.24	       | in(
0.00/0.24	           kpair(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), 
0.00/0.24	             sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2)), X0)
0.00/0.24	       | ~ in(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '14'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ in(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X1)
0.00/0.24	       | in(
0.00/0.24	           kpair(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), 
0.00/0.24	             sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2)), X0)
0.00/0.24	       | ~ in(sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X1)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ in(sk_Xy(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X3)
0.00/0.24	       | ~ in(sk_Xx(X4, breln1invset(X3, breln1invset(X1, X0)), X2), X3)
0.00/0.24	       | ~ breln1(X3, breln1invset(X1, X0))
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | subset(breln1invset(X3, breln1invset(X1, X0)), X4)
0.00/0.24	       | ~ breln1(X2, breln1invset(X3, breln1invset(X1, X0)))),
0.00/0.24	    inference('simplify', [status(thm)], ['17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | ~ in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ subbreln1),
0.00/0.24	    inference('cnf', [status(esa)], [subbreln1])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | ~ in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['19', '5'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ in(kpair(sk_Xx(X4, X3, X2), sk_Xy(X4, X3, X2)), X4)
0.00/0.24	       | ~ breln1(X2, X3)),
0.00/0.24	    inference('simplify', [status(thm)], ['20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X1, breln1invset(X3, breln1invset(X2, X0)))
0.00/0.24	       | subset(breln1invset(X3, breln1invset(X2, X0)), X0)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X3, breln1invset(X2, X0))
0.00/0.24	       | ~ in(sk_Xx(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X3)
0.00/0.24	       | ~ in(sk_Xy(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X3)
0.00/0.24	       | ~ breln1(X2, X0)
0.00/0.24	       | ~ in(sk_Xy(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X2)
0.00/0.24	       | ~ in(sk_Xx(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X2)
0.00/0.24	       | ~ breln1(X1, breln1invset(X3, breln1invset(X2, X0)))
0.00/0.24	       | subset(breln1invset(X3, breln1invset(X2, X0)), X0)
0.00/0.24	       | ~ breln1(X1, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ in(sk_Xx(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X2)
0.00/0.24	       | ~ in(sk_Xy(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X2)
0.00/0.24	       | ~ breln1(X2, X0)
0.00/0.24	       | ~ in(sk_Xy(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X3)
0.00/0.24	       | ~ in(sk_Xx(X0, breln1invset(X3, breln1invset(X2, X0)), X1), X3)
0.00/0.24	       | ~ breln1(X3, breln1invset(X2, X0))
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | subset(breln1invset(X3, breln1invset(X2, X0)), X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X3, breln1invset(X2, X0)))),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, breln1invset(X0, X1)))
0.00/0.24	       | subset(breln1invset(X2, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, breln1invset(X0, X1)))
0.00/0.24	       | subset(breln1invset(X2, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ breln1(X2, breln1invset(X0, X1))
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)
0.00/0.24	       | ~ in(sk_Xy(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ in(sk_Xx(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X0)
0.00/0.24	       | ~ in(sk_Xy(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)
0.00/0.24	       | ~ breln1(X2, breln1invset(X0, X1))
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(breln1invset(X2, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, breln1invset(X0, X1)))),
0.00/0.24	    inference('simplify', [status(thm)], ['24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(sk_Xx(X4, X3, X2), X2)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ subbreln1),
0.00/0.24	    inference('cnf', [status(esa)], [subbreln1])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X3)
0.00/0.24	       | in(sk_Xx(X4, X3, X2), X2)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | ~ breln1(X2, X4)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['26', '5'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X2, X3, X4]:
0.00/0.24	      (~ breln1(X2, X4)
0.00/0.24	       | subset(X3, X4)
0.00/0.24	       | in(sk_Xx(X4, X3, X2), X2)
0.00/0.24	       | ~ breln1(X2, X3)),
0.00/0.24	    inference('simplify', [status(thm)], ['27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ breln1(X0, breln1invset(X2, breln1invset(X0, X1)))
0.00/0.24	       | subset(breln1invset(X2, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ breln1(X2, breln1invset(X0, X1))
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)
0.00/0.24	       | ~ in(sk_Xy(X1, breln1invset(X2, breln1invset(X0, X1)), X0), X2)),
0.00/0.24	    inference('clc', [status(thm)], ['25', '28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | subset(breln1invset(X0, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X0, breln1invset(X0, X1)), X0), X0)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, X1))
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(breln1invset(X0, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, breln1invset(X0, X1))
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X0, breln1invset(X0, X1)), X0), X0)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(breln1invset(X0, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))),
0.00/0.24	    inference('simplify', [status(thm)], ['30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | subset(breln1invset(X0, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ in(sk_Xx(X1, breln1invset(X0, breln1invset(X0, X1)), X0), X0)),
0.00/0.24	    inference('clc', [status(thm)], ['31', '3'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, X1)
0.00/0.24	       | subset(breln1invset(X0, breln1invset(X0, X1)), X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))),
0.00/0.24	    inference('clc', [status(thm)], ['32', '28'])).
0.00/0.24	tff(breln1invI, axiom,
0.00/0.24	  (breln1invI <=>
0.00/0.24	   (![A,R]:
0.00/0.24	      (breln1(A,R) =>
0.00/0.24	       (![Xx]:
0.00/0.24	          (in(Xx,A) =>
0.00/0.24	           (![Xy]:
0.00/0.24	              (in(Xy,A) =>
0.00/0.24	               (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R))))))))))).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ breln1(X9, X10)
0.00/0.24	       | ~ in(X11, X9)
0.00/0.24	       | in(kpair(X11, X12), breln1invset(X9, X10))
0.00/0.24	       | ~ in(kpair(X12, X11), X10)
0.00/0.24	       | ~ in(X12, X9)
0.00/0.24	       | ~ breln1invI),
0.00/0.24	    inference('cnf', [status(esa)], [breln1invI])).
0.00/0.24	tff('35', plain, breln1invI, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ breln1(X9, X10)
0.00/0.24	       | ~ in(X11, X9)
0.00/0.24	       | in(kpair(X11, X12), breln1invset(X9, X10))
0.00/0.24	       | ~ in(kpair(X12, X11), X10)
0.00/0.24	       | ~ in(X12, X9)
0.00/0.24	       | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['34', '35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X9, X10, X11, X12]:
0.00/0.24	      (~ in(X12, X9)
0.00/0.24	       | ~ in(kpair(X12, X11), X10)
0.00/0.24	       | in(kpair(X11, X12), breln1invset(X9, X10))
0.00/0.24	       | ~ in(X11, X9)
0.00/0.24	       | ~ breln1(X9, X10)),
0.00/0.24	    inference('simplify', [status(thm)], ['36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | subset(X0, X2)
0.00/0.24	       | ~ breln1(X1, X2)
0.00/0.24	       | ~ breln1(X3, X0)
0.00/0.24	       | ~ in(sk_Xy(X2, X0, X1), X3)
0.00/0.24	       | in(kpair(sk_Xy(X2, X0, X1), sk_Xx(X2, X0, X1)), 
0.00/0.24	           breln1invset(X3, X0))
0.00/0.24	       | ~ in(sk_Xx(X2, X0, X1), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '37'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ in(sk_Xx(X2, X0, X1), X3)
0.00/0.24	       | in(kpair(sk_Xy(X2, X0, X1), sk_Xx(X2, X0, X1)), 
0.00/0.24	           breln1invset(X3, X0))
0.00/0.24	       | ~ in(sk_Xy(X2, X0, X1), X3)
0.00/0.24	       | ~ breln1(X3, X0)
0.00/0.24	       | ~ breln1(X1, X2)
0.00/0.24	       | subset(X0, X2)
0.00/0.24	       | ~ breln1(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X2, X0)
0.00/0.24	       | subset(X0, X3)
0.00/0.24	       | ~ breln1(X2, X3)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ in(sk_Xy(X3, X0, X2), X1)
0.00/0.24	       | ~ in(sk_Xx(X3, X0, X2), X1)
0.00/0.24	       | ~ breln1(X4, breln1invset(X1, X0))
0.00/0.24	       | ~ in(sk_Xx(X3, X0, X2), X4)
0.00/0.24	       | in(kpair(sk_Xx(X3, X0, X2), sk_Xy(X3, X0, X2)), 
0.00/0.24	           breln1invset(X4, breln1invset(X1, X0)))
0.00/0.24	       | ~ in(sk_Xy(X3, X0, X2), X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['39', '37'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ in(sk_Xy(X3, X0, X2), X4)
0.00/0.24	       | in(kpair(sk_Xx(X3, X0, X2), sk_Xy(X3, X0, X2)), 
0.00/0.24	           breln1invset(X4, breln1invset(X1, X0)))
0.00/0.24	       | ~ in(sk_Xx(X3, X0, X2), X4)
0.00/0.24	       | ~ breln1(X4, breln1invset(X1, X0))
0.00/0.24	       | ~ in(sk_Xx(X3, X0, X2), X1)
0.00/0.24	       | ~ in(sk_Xy(X3, X0, X2), X1)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X2, X3)
0.00/0.24	       | subset(X0, X3)
0.00/0.24	       | ~ breln1(X2, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['40'])).
0.00/0.24	tff('42', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X3, X0)
0.00/0.24	       | subset(X0, breln1invset(X2, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X3, breln1invset(X2, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X1)
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X1)
0.00/0.24	       | ~ breln1(X2, breln1invset(X1, X0))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X2)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X2)
0.00/0.24	       | ~ breln1(X3, X0)
0.00/0.24	       | subset(X0, breln1invset(X2, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X3, breln1invset(X2, breln1invset(X1, X0)))),
0.00/0.24	    inference('sup-', [status(thm)], ['41', '21'])).
0.00/0.24	tff('43', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ in(sk_Xy(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X2)
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X2)
0.00/0.24	       | ~ breln1(X2, breln1invset(X1, X0))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X1)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X2, breln1invset(X1, X0)), X0, X3), X1)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X3, breln1invset(X2, breln1invset(X1, X0)))
0.00/0.24	       | subset(X0, breln1invset(X2, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X3, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['42'])).
0.00/0.24	tff('44', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X2, X1)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, X1))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '43'])).
0.00/0.24	tff('45', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X0)
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, X1))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ breln1(X2, X1)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, X1)),
0.00/0.24	    inference('simplify', [status(thm)], ['44'])).
0.00/0.24	tff('46', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X2, X1)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ breln1(X0, breln1invset(X2, X1))),
0.00/0.24	    inference('clc', [status(thm)], ['45', '28'])).
0.00/0.24	tff('47', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ breln1(X0, breln1invset(X2, X1))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ in(sk_Xy(breln1invset(X0, breln1invset(X2, X1)), X1, X0), X2)
0.00/0.24	       | ~ breln1(X2, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X2, X1)))
0.00/0.24	       | ~ breln1(X0, X1)),
0.00/0.24	    inference('clc', [status(thm)], ['46', '3'])).
0.00/0.24	tff('48', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, X1)
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X0, X1)), X1, X0), X0)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, X1))),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '47'])).
0.00/0.24	tff('49', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, breln1invset(X0, X1))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X0, X1)), X1, X0), X0)
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, X1)),
0.00/0.24	    inference('simplify', [status(thm)], ['48'])).
0.00/0.24	tff('50', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, X1)
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ in(sk_Xx(breln1invset(X0, breln1invset(X0, X1)), X1, X0), X0)),
0.00/0.24	    inference('clc', [status(thm)], ['49', '3'])).
0.00/0.24	tff('51', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X0, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | subset(X1, breln1invset(X0, breln1invset(X0, X1)))
0.00/0.24	       | ~ breln1(X0, X1)),
0.00/0.24	    inference('clc', [status(thm)], ['50', '28'])).
0.00/0.24	tff(setextsub, axiom,
0.00/0.24	  (setextsub <=> (![A,B]: (subset(A,B) => (subset(B,A) => (A = B)))))).
0.00/0.24	tff('52', plain,
0.00/0.24	    ![X0, X1]: (~ subset(X0, X1) | X0 = X1 | ~ subset(X1, X0) | ~ setextsub),
0.00/0.24	    inference('cnf', [status(esa)], [setextsub])).
0.00/0.24	tff('53', plain, setextsub, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('54', plain,
0.00/0.24	    ![X0, X1]: (~ subset(X0, X1) | X0 = X1 | ~ subset(X1, X0) | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['52', '53'])).
0.00/0.24	tff('55', plain, ![X0, X1]: (~ subset(X1, X0) | X0 = X1 | ~ subset(X0, X1)),
0.00/0.24	    inference('simplify', [status(thm)], ['54'])).
0.00/0.24	tff('56', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, breln1invset(X1, X0)))
0.00/0.24	       | ~ subset(breln1invset(X1, breln1invset(X1, X0)), X0)
0.00/0.24	       | breln1invset(X1, breln1invset(X1, X0)) = X0),
0.00/0.24	    inference('sup-', [status(thm)], ['51', '55'])).
0.00/0.24	tff('57', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (breln1invset(X1, breln1invset(X1, X0)) = X0
0.00/0.24	       | ~ subset(breln1invset(X1, breln1invset(X1, X0)), X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['56'])).
0.00/0.24	tff('58', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, breln1invset(X1, X0)))
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, breln1invset(X1, X0)))
0.00/0.24	       | breln1invset(X1, breln1invset(X1, X0)) = X0),
0.00/0.24	    inference('sup-', [status(thm)], ['33', '57'])).
0.00/0.24	tff('59', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (breln1invset(X1, breln1invset(X1, X0)) = X0
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, breln1invset(X1, X0)))),
0.00/0.24	    inference('simplify', [status(thm)], ['58'])).
0.00/0.24	tff('60', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, X0))
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | breln1invset(X1, breln1invset(X1, X0)) = X0),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '59'])).
0.00/0.24	tff('61', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (breln1invset(X1, breln1invset(X1, X0)) = X0
0.00/0.24	       | ~ breln1(X1, X0)
0.00/0.24	       | ~ breln1(X1, breln1invset(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['60'])).
0.00/0.24	tff('62', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ breln1(X1, X0) | breln1invset(X1, breln1invset(X1, X0)) = X0),
0.00/0.24	    inference('clc', [status(thm)], ['61', '3'])).
0.00/0.24	tff('63', plain, sk_R4 != breln1invset(sk_A5, breln1invset(sk_A5, sk_R4)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('64', plain, (sk_R4 != sk_R4 | ~ breln1(sk_A5, sk_R4)),
0.00/0.24	    inference('sup-', [status(thm)], ['62', '63'])).
0.00/0.24	tff('65', plain, breln1(sk_A5, sk_R4),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('66', plain, (sk_R4 != sk_R4 | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['64', '65'])).
0.00/0.24	tff('67', plain, $false, inference('simplify', [status(thm)], ['66'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
