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    : fo
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-ho \
0.00/0.01	  --no-avatar \
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	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n129.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 17:19:39 CST 2018
185.50/185.78	% done 5990 iterations in 185.579s
185.50/185.78	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
185.50/185.78	% SZS output start Refutation
185.50/185.79	tff(breln1invprop, axiom,
185.50/185.79	  (breln1invprop <=> (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R)))))).
185.50/185.79	tff('0', plain,
185.50/185.79	    ![X0, X1]:
185.50/185.79	      (~ breln1(X0, X1) | breln1(X0, breln1invset(X0, X1)) | ~ breln1invprop),
185.50/185.79	    inference('cnf', [status(esa)], [breln1invprop])).
185.50/185.79	tff(woz2B, conjecture,
185.50/185.79	  (breln1invprop =>
185.50/185.79	   (breln1compprop =>
185.50/185.79	    (breln1unionCommutes =>
185.50/185.79	     (woz2Ex =>
185.50/185.79	      (woz2W =>
185.50/185.79	       (woz2A =>
185.50/185.79	        (![A,R]:
185.50/185.79	           (breln1(A,R) =>
185.50/185.79	            (![S]:
185.50/185.79	               (breln1(A,S) =>
185.50/185.79	                (![T]:
185.50/185.79	                   (breln1(A,T) =>
185.50/185.79	                    (breln1compset(A,binunion(R,S),T) =
185.50/185.79	                     binunion(breln1invset(A,
185.50/185.79	                                           breln1compset(A,breln1invset(A,T),
185.50/185.79	                                                         breln1invset(A,S))),
185.50/185.79	                              breln1invset(A,
185.50/185.79	                                           breln1compset(A,breln1invset(A,T),
185.50/185.79	                                                         breln1invset(A,R)))))))))))))))))).
185.50/185.79	tff(zf_stmt_0, negated_conjecture,
185.50/185.79	  (~
185.50/185.79	    (breln1invprop =>
185.50/185.79	     (breln1compprop =>
185.50/185.79	      (breln1unionCommutes =>
185.50/185.79	       (woz2Ex =>
185.50/185.79	        (woz2W =>
185.50/185.79	         (woz2A =>
185.50/185.79	          (![A,R]:
185.50/185.79	             (breln1(A,R) =>
185.50/185.79	              (![S]:
185.50/185.79	                 (breln1(A,S) =>
185.50/185.79	                  (![T]:
185.50/185.79	                     (breln1(A,T) =>
185.50/185.79	                      (breln1compset(A,binunion(R,S),T) =
185.50/185.79	                       binunion(breln1invset(A,
185.50/185.79	                                             breln1compset(A,
185.50/185.79	                                                           breln1invset(A,T),
185.50/185.79	                                                           breln1invset(A,S))),
185.50/185.79	                                breln1invset(A,
185.50/185.79	                                             breln1compset(A,
185.50/185.79	                                                           breln1invset(A,T),
185.50/185.79	                                                           breln1invset(A,R))))))))))))))))))).
185.50/185.79	tff('1', plain, breln1invprop, inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('2', plain,
185.50/185.79	    ![X0, X1]:
185.50/185.79	      (~ breln1(X0, X1) | breln1(X0, breln1invset(X0, X1)) | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['0', '1'])).
185.50/185.79	tff('3', plain,
185.50/185.79	    ![X0, X1]: (breln1(X0, breln1invset(X0, X1)) | ~ breln1(X0, X1)),
185.50/185.79	    inference('simplify', [status(thm)], ['2'])).
185.50/185.79	tff(woz2W, axiom,
185.50/185.79	  (woz2W <=>
185.50/185.79	   (![A,R]:
185.50/185.79	      (breln1(A,R) =>
185.50/185.79	       (![S]:
185.50/185.79	          (breln1(A,S) =>
185.50/185.79	           (breln1invset(A,breln1compset(A,R,S)) =
185.50/185.79	            breln1compset(A,breln1invset(A,S),breln1invset(A,R))))))))).
185.50/185.79	tff('4', plain,
185.50/185.79	    ![X10, X11, X12]:
185.50/185.79	      (~ breln1(X10, X11)
185.50/185.79	       | breln1invset(X10, breln1compset(X10, X11, X12))
185.50/185.79	          = breln1compset(X10, breln1invset(X10, X12), 
185.50/185.79	              breln1invset(X10, X11))
185.50/185.79	       | ~ breln1(X10, X12)
185.50/185.79	       | ~ woz2W),
185.50/185.79	    inference('cnf', [status(esa)], [woz2W])).
185.50/185.79	tff('5', plain, woz2W, inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('6', plain,
185.50/185.79	    ![X10, X11, X12]:
185.50/185.79	      (~ breln1(X10, X11)
185.50/185.79	       | breln1invset(X10, breln1compset(X10, X11, X12))
185.50/185.79	          = breln1compset(X10, breln1invset(X10, X12), 
185.50/185.79	              breln1invset(X10, X11))
185.50/185.79	       | ~ breln1(X10, X12)
185.50/185.79	       | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['4', '5'])).
185.50/185.79	tff('7', plain,
185.50/185.79	    ![X10, X11, X12]:
185.50/185.79	      (~ breln1(X10, X12)
185.50/185.79	       | breln1invset(X10, breln1compset(X10, X11, X12))
185.50/185.79	          = breln1compset(X10, breln1invset(X10, X12), 
185.50/185.79	              breln1invset(X10, X11))
185.50/185.79	       | ~ breln1(X10, X11)),
185.50/185.79	    inference('simplify', [status(thm)], ['6'])).
185.50/185.79	tff(woz2Ex, axiom,
185.50/185.79	  (woz2Ex <=>
185.50/185.79	   (![A,R]: (breln1(A,R) => (R = breln1invset(A,breln1invset(A,R))))))).
185.50/185.79	tff('8', plain,
185.50/185.79	    ![X8, X9]:
185.50/185.79	      (~ breln1(X8, X9)
185.50/185.79	       | X9 = breln1invset(X8, breln1invset(X8, X9))
185.50/185.79	       | ~ woz2Ex),
185.50/185.79	    inference('cnf', [status(esa)], [woz2Ex])).
185.50/185.79	tff('9', plain, woz2Ex, inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('10', plain,
185.50/185.79	    ![X8, X9]:
185.50/185.79	      (~ breln1(X8, X9)
185.50/185.79	       | X9 = breln1invset(X8, breln1invset(X8, X9))
185.50/185.79	       | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['8', '9'])).
185.50/185.79	tff('11', plain,
185.50/185.79	    ![X8, X9]:
185.50/185.79	      (X9 = breln1invset(X8, breln1invset(X8, X9)) | ~ breln1(X8, X9)),
185.50/185.79	    inference('simplify', [status(thm)], ['10'])).
185.50/185.79	tff('12', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1invset(X2, breln1compset(X2, X1, breln1invset(X2, X0)))
185.50/185.79	        = breln1compset(X2, X0, breln1invset(X2, X1))
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))),
185.50/185.79	    inference('sup+', [status(thm)], ['11', '7'])).
185.50/185.79	tff('13', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | breln1invset(X2, breln1compset(X2, X1, breln1invset(X2, X0)))
185.50/185.79	          = breln1compset(X2, X0, breln1invset(X2, X1))),
185.50/185.79	    inference('clc', [status(thm)], ['12', '3'])).
185.50/185.79	tff('14', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X1, 
185.50/185.79	         breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0)))
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, breln1compset(X1, X0, X2))),
185.50/185.79	    inference('sup+', [status(thm)], ['7', '3'])).
185.50/185.79	tff(breln1compprop, axiom,
185.50/185.79	  (breln1compprop <=>
185.50/185.79	   (![A,R]:
185.50/185.79	      (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,breln1compset(A,R,S)))))))).
185.50/185.79	tff('15', plain,
185.50/185.79	    ![X2, X3, X4]:
185.50/185.79	      (~ breln1(X2, X3)
185.50/185.79	       | breln1(X2, breln1compset(X2, X3, X4))
185.50/185.79	       | ~ breln1(X2, X4)
185.50/185.79	       | ~ breln1compprop),
185.50/185.79	    inference('cnf', [status(esa)], [breln1compprop])).
185.50/185.79	tff('16', plain, breln1compprop, inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('17', plain,
185.50/185.79	    ![X2, X3, X4]:
185.50/185.79	      (~ breln1(X2, X3)
185.50/185.79	       | breln1(X2, breln1compset(X2, X3, X4))
185.50/185.79	       | ~ breln1(X2, X4)
185.50/185.79	       | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['15', '16'])).
185.50/185.79	tff('18', plain,
185.50/185.79	    ![X2, X3, X4]:
185.50/185.79	      (~ breln1(X2, X4)
185.50/185.79	       | breln1(X2, breln1compset(X2, X3, X4))
185.50/185.79	       | ~ breln1(X2, X3)),
185.50/185.79	    inference('simplify', [status(thm)], ['17'])).
185.50/185.79	tff('19', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | breln1(X1, 
185.50/185.79	           breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0)))),
185.50/185.79	    inference('clc', [status(thm)], ['14', '18'])).
185.50/185.79	tff('20', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X2, breln1compset(X2, X0, breln1invset(X2, X1)))
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))),
185.50/185.79	    inference('sup+', [status(thm)], ['11', '19'])).
185.50/185.79	tff('21', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | breln1(X2, breln1compset(X2, X0, breln1invset(X2, X1)))),
185.50/185.79	    inference('clc', [status(thm)], ['20', '3'])).
185.50/185.79	tff('22', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X1, 
185.50/185.79	         breln1invset(X1, breln1compset(X1, X2, breln1invset(X1, X0))))
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)),
185.50/185.79	    inference('sup+', [status(thm)], ['13', '21'])).
185.50/185.79	tff('23', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | breln1(X1, 
185.50/185.79	           breln1invset(X1, breln1compset(X1, X2, breln1invset(X1, X0))))),
185.50/185.79	    inference('simplify', [status(thm)], ['22'])).
185.50/185.79	tff('24', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X2, 
185.50/185.79	         breln1invset(X2, breln1invset(X2, breln1compset(X2, X1, X0))))
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))),
185.50/185.79	    inference('sup+', [status(thm)], ['7', '23'])).
185.50/185.79	tff('25', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X2, breln1invset(X2, X0))
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | breln1(X2, 
185.50/185.79	           breln1invset(X2, breln1invset(X2, breln1compset(X2, X1, X0))))),
185.50/185.79	    inference('simplify', [status(thm)], ['24'])).
185.50/185.79	tff('26', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X2, 
185.50/185.79	         breln1invset(X2, breln1invset(X2, breln1compset(X2, X1, X0))))
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)),
185.50/185.79	    inference('clc', [status(thm)], ['25', '3'])).
185.50/185.79	tff('27', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1(X1, 
185.50/185.79	         breln1invset(X1, 
185.50/185.79	           breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0))))
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)),
185.50/185.79	    inference('sup+', [status(thm)], ['7', '26'])).
185.50/185.79	tff('28', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | breln1(X1, 
185.50/185.79	           breln1invset(X1, 
185.50/185.79	             breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0))))),
185.50/185.79	    inference('simplify', [status(thm)], ['27'])).
185.50/185.79	tff('29', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (breln1invset(X1, breln1compset(X1, breln1invset(X1, X0), X2))
185.50/185.79	        = breln1compset(X1, breln1invset(X1, X2), X0)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, breln1invset(X1, X0))
185.50/185.79	       | ~ breln1(X1, X2)),
185.50/185.79	    inference('sup+', [status(thm)], ['11', '7'])).
185.50/185.79	tff('30', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | breln1invset(X1, breln1compset(X1, breln1invset(X1, X0), X2))
185.50/185.79	          = breln1compset(X1, breln1invset(X1, X2), X0)),
185.50/185.79	    inference('clc', [status(thm)], ['29', '3'])).
185.50/185.79	tff(woz2A, axiom,
185.50/185.79	  (woz2A <=>
185.50/185.79	   (![A,R]:
185.50/185.79	      (breln1(A,R) =>
185.50/185.79	       (![S]:
185.50/185.79	          (breln1(A,S) =>
185.50/185.79	           (![T]:
185.50/185.79	              (breln1(A,T) =>
185.50/185.79	               (breln1compset(A,binunion(R,S),T) =
185.50/185.79	                binunion(breln1compset(A,R,T),breln1compset(A,S,T))))))))))).
185.50/185.79	tff('31', plain,
185.50/185.79	    ![X13, X14, X15, X16]:
185.50/185.79	      (~ breln1(X13, X14)
185.50/185.79	       | ~ breln1(X13, X15)
185.50/185.79	       | breln1compset(X13, binunion(X14, X16), X15)
185.50/185.79	          = binunion(breln1compset(X13, X14, X15), 
185.50/185.79	              breln1compset(X13, X16, X15))
185.50/185.79	       | ~ breln1(X13, X16)
185.50/185.79	       | ~ woz2A),
185.50/185.79	    inference('cnf', [status(esa)], [woz2A])).
185.50/185.79	tff('32', plain, woz2A, inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('33', plain,
185.50/185.79	    ![X13, X14, X15, X16]:
185.50/185.79	      (~ breln1(X13, X14)
185.50/185.79	       | ~ breln1(X13, X15)
185.50/185.79	       | breln1compset(X13, binunion(X14, X16), X15)
185.50/185.79	          = binunion(breln1compset(X13, X14, X15), 
185.50/185.79	              breln1compset(X13, X16, X15))
185.50/185.79	       | ~ breln1(X13, X16)
185.50/185.79	       | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['31', '32'])).
185.50/185.79	tff('34', plain,
185.50/185.79	    ![X13, X14, X15, X16]:
185.50/185.79	      (~ breln1(X13, X16)
185.50/185.79	       | breln1compset(X13, binunion(X14, X16), X15)
185.50/185.79	          = binunion(breln1compset(X13, X14, X15), 
185.50/185.79	              breln1compset(X13, X16, X15))
185.50/185.79	       | ~ breln1(X13, X15)
185.50/185.79	       | ~ breln1(X13, X14)),
185.50/185.79	    inference('simplify', [status(thm)], ['33'])).
185.50/185.79	tff('35', plain,
185.50/185.79	    ![X0, X1, X2, X3]:
185.50/185.79	      (breln1compset(X2, binunion(breln1invset(X2, X0), X3), X1)
185.50/185.79	        = binunion(
185.50/185.79	            breln1invset(X2, breln1compset(X2, breln1invset(X2, X1), X0)), 
185.50/185.79	            breln1compset(X2, X3, X1))
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X3)),
185.50/185.79	    inference('sup+', [status(thm)], ['30', '34'])).
185.50/185.79	tff('36', plain,
185.50/185.79	    ![X0, X1, X2, X3]:
185.50/185.79	      (~ breln1(X2, X3)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | breln1compset(X2, binunion(breln1invset(X2, X0), X3), X1)
185.50/185.79	          = binunion(
185.50/185.79	              breln1invset(X2, breln1compset(X2, breln1invset(X2, X1), X0)), 
185.50/185.79	              breln1compset(X2, X3, X1))),
185.50/185.79	    inference('simplify', [status(thm)], ['35'])).
185.50/185.79	tff('37', plain,
185.50/185.79	    ![X0, X1, X2, X3]:
185.50/185.79	      (breln1compset(X2, binunion(breln1invset(X2, X0), X3), X1)
185.50/185.79	        = binunion(
185.50/185.79	            breln1invset(X2, breln1compset(X2, breln1invset(X2, X1), X0)), 
185.50/185.79	            breln1compset(X2, X3, X1))
185.50/185.79	       | ~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, X3)),
185.50/185.79	    inference('clc', [status(thm)], ['36', '3'])).
185.50/185.79	tff(breln1unionCommutes, axiom,
185.50/185.79	  (breln1unionCommutes <=>
185.50/185.79	   (![A,R]:
185.50/185.79	      (breln1(A,R) =>
185.50/185.79	       (![S]: (breln1(A,S) => (binunion(R,S) = binunion(S,R)))))))).
185.50/185.79	tff('38', plain,
185.50/185.79	    ![X5, X6, X7]:
185.50/185.79	      (~ breln1(X5, X6)
185.50/185.79	       | binunion(X6, X7) = binunion(X7, X6)
185.50/185.79	       | ~ breln1(X5, X7)
185.50/185.79	       | ~ breln1unionCommutes),
185.50/185.79	    inference('cnf', [status(esa)], [breln1unionCommutes])).
185.50/185.79	tff('39', plain, breln1unionCommutes,
185.50/185.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('40', plain,
185.50/185.79	    ![X5, X6, X7]:
185.50/185.79	      (~ breln1(X5, X6)
185.50/185.79	       | binunion(X6, X7) = binunion(X7, X6)
185.50/185.79	       | ~ breln1(X5, X7)
185.50/185.79	       | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['38', '39'])).
185.50/185.79	tff('41', plain,
185.50/185.79	    ![X5, X6, X7]:
185.50/185.79	      (~ breln1(X5, X7)
185.50/185.79	       | binunion(X6, X7) = binunion(X7, X6)
185.50/185.79	       | ~ breln1(X5, X6)),
185.50/185.79	    inference('simplify', [status(thm)], ['40'])).
185.50/185.79	tff('42', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ $true
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | binunion(X2, breln1invset(X1, X0))
185.50/185.79	          = binunion(breln1invset(X1, X0), X2)),
185.50/185.79	    inference('sup-', [status(thm)], ['3', '41'])).
185.50/185.79	tff('43', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (binunion(X2, breln1invset(X1, X0))
185.50/185.79	        = binunion(breln1invset(X1, X0), X2)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)),
185.50/185.79	    inference('simplify', [status(thm)], ['42'])).
185.50/185.79	tff('44', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (binunion(X1, X0)
185.50/185.79	        = binunion(breln1invset(X2, breln1invset(X2, X0)), X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | ~ breln1(X2, breln1invset(X2, X0))
185.50/185.79	       | ~ breln1(X2, X1)),
185.50/185.79	    inference('sup+', [status(thm)], ['11', '43'])).
185.50/185.79	tff('45', plain,
185.50/185.79	    ![X0, X1, X2]:
185.50/185.79	      (~ breln1(X2, X1)
185.50/185.79	       | ~ breln1(X2, X0)
185.50/185.79	       | binunion(X1, X0)
185.50/185.79	          = binunion(breln1invset(X2, breln1invset(X2, X0)), X1)),
185.50/185.79	    inference('clc', [status(thm)], ['44', '3'])).
185.50/185.79	tff('46', plain,
185.50/185.79	    ![X0, X1, X2, X3]:
185.50/185.79	      (binunion(X3, breln1compset(X1, X0, X2))
185.50/185.79	        = binunion(
185.50/185.79	            breln1invset(X1, 
185.50/185.79	              breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0))), 
185.50/185.79	            X3)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, breln1compset(X1, X0, X2))
185.50/185.79	       | ~ breln1(X1, X3)),
185.50/185.79	    inference('sup+', [status(thm)], ['7', '45'])).
185.50/185.79	tff('47', plain,
185.50/185.79	    ![X0, X1, X2, X3]:
185.50/185.79	      (~ breln1(X1, X3)
185.50/185.79	       | ~ breln1(X1, X2)
185.50/185.79	       | ~ breln1(X1, X0)
185.50/185.79	       | binunion(X3, breln1compset(X1, X0, X2))
185.50/185.79	          = binunion(
185.50/185.79	              breln1invset(X1, 
185.50/185.79	                breln1compset(X1, breln1invset(X1, X2), breln1invset(X1, X0))), 
185.50/185.79	              X3)),
185.50/185.79	    inference('clc', [status(thm)], ['46', '18'])).
185.50/185.79	tff('48', plain,
185.50/185.79	    breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	     != binunion(
185.50/185.79	          breln1invset(sk_A6, 
185.50/185.79	            breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	              breln1invset(sk_A6, sk_S4))), 
185.50/185.79	          breln1invset(sk_A6, 
185.50/185.79	            breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	              breln1invset(sk_A6, sk_R6)))),
185.50/185.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('49', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != binunion(
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))), 
185.50/185.79	           breln1compset(sk_A6, sk_S4, sk_T1))
185.50/185.79	     | ~ breln1(sk_A6, sk_S4)
185.50/185.79	     | ~ breln1(sk_A6, sk_T1)
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('sup-', [status(thm)], ['47', '48'])).
185.50/185.79	tff('50', plain, breln1(sk_A6, sk_S4),
185.50/185.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('51', plain, breln1(sk_A6, sk_T1),
185.50/185.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('52', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != binunion(
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))), 
185.50/185.79	           breln1compset(sk_A6, sk_S4, sk_T1))
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('demod', [status(thm)], ['49', '50', '51'])).
185.50/185.79	tff('53', plain,
185.50/185.79	    (~ breln1(sk_A6, 
185.50/185.79	         breln1invset(sk_A6, 
185.50/185.79	           breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	             breln1invset(sk_A6, sk_R6))))
185.50/185.79	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	        != binunion(
185.50/185.79	             breln1invset(sk_A6, 
185.50/185.79	               breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	                 breln1invset(sk_A6, sk_R6))), 
185.50/185.79	             breln1compset(sk_A6, sk_S4, sk_T1))),
185.50/185.79	    inference('simplify', [status(thm)], ['52'])).
185.50/185.79	tff('54', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != breln1compset(sk_A6, 
185.50/185.79	           binunion(breln1invset(sk_A6, breln1invset(sk_A6, sk_R6)), sk_S4), 
185.50/185.79	           sk_T1)
185.50/185.79	     | ~ breln1(sk_A6, sk_S4)
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))
185.50/185.79	     | ~ breln1(sk_A6, sk_T1)
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('sup-', [status(thm)], ['37', '53'])).
185.50/185.79	tff('55', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != breln1compset(sk_A6, 
185.50/185.79	           binunion(breln1invset(sk_A6, breln1invset(sk_A6, sk_R6)), sk_S4), 
185.50/185.79	           sk_T1)
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('demod', [status(thm)], ['54', '50', '51'])).
185.50/185.79	tff('56', plain,
185.50/185.79	    (~ breln1(sk_A6, 
185.50/185.79	         breln1invset(sk_A6, 
185.50/185.79	           breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	             breln1invset(sk_A6, sk_R6))))
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))
185.50/185.79	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	        != breln1compset(sk_A6, 
185.50/185.79	             binunion(breln1invset(sk_A6, breln1invset(sk_A6, sk_R6)), sk_S4), 
185.50/185.79	             sk_T1)),
185.50/185.79	    inference('simplify', [status(thm)], ['55'])).
185.50/185.79	tff('57', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	     | ~ breln1(sk_A6, sk_R6)
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('sup-', [status(thm)], ['11', '56'])).
185.50/185.79	tff('58', plain, breln1(sk_A6, sk_R6),
185.50/185.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
185.50/185.79	tff('59', plain,
185.50/185.79	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	      != breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))
185.50/185.79	     | ~ breln1(sk_A6, 
185.50/185.79	           breln1invset(sk_A6, 
185.50/185.79	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	               breln1invset(sk_A6, sk_R6))))),
185.50/185.79	    inference('demod', [status(thm)], ['57', '58'])).
185.50/185.79	tff('60', plain,
185.50/185.79	    (~ breln1(sk_A6, 
185.50/185.79	         breln1invset(sk_A6, 
185.50/185.79	           breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
185.50/185.79	             breln1invset(sk_A6, sk_R6))))
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))),
185.50/185.79	    inference('simplify', [status(thm)], ['59'])).
185.50/185.79	tff('61', plain,
185.50/185.79	    (~ $true
185.50/185.79	     | ~ breln1(sk_A6, sk_R6)
185.50/185.79	     | ~ breln1(sk_A6, sk_T1)
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))),
185.50/185.79	    inference('sup-', [status(thm)], ['28', '60'])).
185.50/185.79	tff('62', plain,
185.50/185.79	    (~ $true
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ $true
185.50/185.79	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6))),
185.50/185.79	    inference('demod', [status(thm)], ['61', '58', '51'])).
185.50/185.79	tff('63', plain, ~ breln1(sk_A6, breln1invset(sk_A6, sk_R6)),
185.50/185.79	    inference('simplify', [status(thm)], ['62'])).
185.50/185.79	tff('64', plain, (~ $true | ~ breln1(sk_A6, sk_R6)),
185.50/185.79	    inference('sup-', [status(thm)], ['3', '63'])).
185.50/185.79	tff('65', plain, (~ $true | ~ $true),
185.50/185.79	    inference('demod', [status(thm)], ['64', '58'])).
185.50/185.79	tff('66', plain, $false, inference('simplify', [status(thm)], ['65'])).
185.50/185.79	
185.50/185.79	% SZS output end Refutation
185.59/185.80	EOF
