0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_ext
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n049.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
0.00/0.26	% done 121 iterations in 0.063s
0.00/0.26	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.26	% SZS output start Refutation
0.00/0.27	tff(breln1invprop, axiom,
0.00/0.27	  (breln1invprop <=> (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R)))))).
0.00/0.27	tff('0', plain,
0.00/0.27	    ![X0, X1]:
0.00/0.27	      (~ breln1(X0, X1) | breln1(X0, breln1invset(X0, X1)) | ~ breln1invprop),
0.00/0.27	    inference('cnf', [status(esa)], [breln1invprop])).
0.00/0.27	tff(woz2B, conjecture,
0.00/0.27	  (breln1invprop =>
0.00/0.27	   (breln1compprop =>
0.00/0.27	    (breln1unionCommutes =>
0.00/0.27	     (woz2Ex =>
0.00/0.27	      (woz2W =>
0.00/0.27	       (woz2A =>
0.00/0.27	        (![A,R]:
0.00/0.27	           (breln1(A,R) =>
0.00/0.27	            (![S]:
0.00/0.27	               (breln1(A,S) =>
0.00/0.27	                (![T]:
0.00/0.27	                   (breln1(A,T) =>
0.00/0.27	                    (breln1compset(A,binunion(R,S),T) =
0.00/0.27	                     binunion(breln1invset(A,
0.00/0.27	                                           breln1compset(A,breln1invset(A,T),
0.00/0.27	                                                         breln1invset(A,S))),
0.00/0.27	                              breln1invset(A,
0.00/0.27	                                           breln1compset(A,breln1invset(A,T),
0.00/0.27	                                                         breln1invset(A,R)))))))))))))))))).
0.00/0.27	tff(zf_stmt_0, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (breln1invprop =>
0.00/0.27	     (breln1compprop =>
0.00/0.27	      (breln1unionCommutes =>
0.00/0.27	       (woz2Ex =>
0.00/0.27	        (woz2W =>
0.00/0.27	         (woz2A =>
0.00/0.27	          (![A,R]:
0.00/0.27	             (breln1(A,R) =>
0.00/0.27	              (![S]:
0.00/0.27	                 (breln1(A,S) =>
0.00/0.27	                  (![T]:
0.00/0.27	                     (breln1(A,T) =>
0.00/0.27	                      (breln1compset(A,binunion(R,S),T) =
0.00/0.27	                       binunion(breln1invset(A,
0.00/0.27	                                             breln1compset(A,
0.00/0.27	                                                           breln1invset(A,T),
0.00/0.27	                                                           breln1invset(A,S))),
0.00/0.27	                                breln1invset(A,
0.00/0.27	                                             breln1compset(A,
0.00/0.27	                                                           breln1invset(A,T),
0.00/0.27	                                                           breln1invset(A,R))))))))))))))))))).
0.00/0.27	tff('1', plain, breln1invprop, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('2', plain,
0.00/0.27	    ![X0, X1]:
0.00/0.27	      (~ breln1(X0, X1) | breln1(X0, breln1invset(X0, X1)) | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.27	tff('3', plain,
0.00/0.27	    ![X0, X1]: (breln1(X0, breln1invset(X0, X1)) | ~ breln1(X0, X1)),
0.00/0.27	    inference('simplify', [status(thm)], ['2'])).
0.00/0.27	tff(woz2A, axiom,
0.00/0.27	  (woz2A <=>
0.00/0.27	   (![A,R]:
0.00/0.27	      (breln1(A,R) =>
0.00/0.27	       (![S]:
0.00/0.27	          (breln1(A,S) =>
0.00/0.27	           (![T]:
0.00/0.27	              (breln1(A,T) =>
0.00/0.27	               (breln1compset(A,binunion(R,S),T) =
0.00/0.27	                binunion(breln1compset(A,R,T),breln1compset(A,S,T))))))))))).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X13, X14, X15, X16]:
0.00/0.27	      (~ breln1(X13, X14)
0.00/0.27	       | ~ breln1(X13, X15)
0.00/0.27	       | breln1compset(X13, binunion(X14, X16), X15)
0.00/0.27	          = binunion(breln1compset(X13, X14, X15), 
0.00/0.27	              breln1compset(X13, X16, X15))
0.00/0.27	       | ~ breln1(X13, X16)
0.00/0.27	       | ~ woz2A),
0.00/0.27	    inference('cnf', [status(esa)], [woz2A])).
0.00/0.27	tff('5', plain, woz2A, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ![X13, X14, X15, X16]:
0.00/0.27	      (~ breln1(X13, X14)
0.00/0.27	       | ~ breln1(X13, X15)
0.00/0.27	       | breln1compset(X13, binunion(X14, X16), X15)
0.00/0.27	          = binunion(breln1compset(X13, X14, X15), 
0.00/0.27	              breln1compset(X13, X16, X15))
0.00/0.27	       | ~ breln1(X13, X16)
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    ![X13, X14, X15, X16]:
0.00/0.27	      (~ breln1(X13, X16)
0.00/0.27	       | breln1compset(X13, binunion(X14, X16), X15)
0.00/0.27	          = binunion(breln1compset(X13, X14, X15), 
0.00/0.27	              breln1compset(X13, X16, X15))
0.00/0.27	       | ~ breln1(X13, X15)
0.00/0.27	       | ~ breln1(X13, X14)),
0.00/0.27	    inference('simplify', [status(thm)], ['6'])).
0.00/0.27	tff(breln1compprop, axiom,
0.00/0.27	  (breln1compprop <=>
0.00/0.27	   (![A,R]:
0.00/0.27	      (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,breln1compset(A,R,S)))))))).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X2, X3, X4]:
0.00/0.27	      (~ breln1(X2, X3)
0.00/0.27	       | breln1(X2, breln1compset(X2, X3, X4))
0.00/0.27	       | ~ breln1(X2, X4)
0.00/0.27	       | ~ breln1compprop),
0.00/0.27	    inference('cnf', [status(esa)], [breln1compprop])).
0.00/0.27	tff('9', plain, breln1compprop, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('10', plain,
0.00/0.27	    ![X2, X3, X4]:
0.00/0.27	      (~ breln1(X2, X3)
0.00/0.27	       | breln1(X2, breln1compset(X2, X3, X4))
0.00/0.27	       | ~ breln1(X2, X4)
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['8', '9'])).
0.00/0.27	tff('11', plain,
0.00/0.27	    ![X2, X3, X4]:
0.00/0.27	      (~ breln1(X2, X4)
0.00/0.27	       | breln1(X2, breln1compset(X2, X3, X4))
0.00/0.27	       | ~ breln1(X2, X3)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff(woz2Ex, axiom,
0.00/0.27	  (woz2Ex <=>
0.00/0.27	   (![A,R]: (breln1(A,R) => (R = breln1invset(A,breln1invset(A,R))))))).
0.00/0.27	tff('12', plain,
0.00/0.27	    ![X8, X9]:
0.00/0.27	      (~ breln1(X8, X9)
0.00/0.27	       | X9 = breln1invset(X8, breln1invset(X8, X9))
0.00/0.27	       | ~ woz2Ex),
0.00/0.27	    inference('cnf', [status(esa)], [woz2Ex])).
0.00/0.27	tff('13', plain, woz2Ex, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('14', plain,
0.00/0.27	    ![X8, X9]:
0.00/0.27	      (~ breln1(X8, X9)
0.00/0.27	       | X9 = breln1invset(X8, breln1invset(X8, X9))
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.27	tff('15', plain,
0.00/0.27	    ![X8, X9]:
0.00/0.27	      (X9 = breln1invset(X8, breln1invset(X8, X9)) | ~ breln1(X8, X9)),
0.00/0.27	    inference('simplify', [status(thm)], ['14'])).
0.00/0.27	tff(woz2W, axiom,
0.00/0.27	  (woz2W <=>
0.00/0.27	   (![A,R]:
0.00/0.27	      (breln1(A,R) =>
0.00/0.27	       (![S]:
0.00/0.27	          (breln1(A,S) =>
0.00/0.27	           (breln1invset(A,breln1compset(A,R,S)) =
0.00/0.27	            breln1compset(A,breln1invset(A,S),breln1invset(A,R))))))))).
0.00/0.27	tff('16', plain,
0.00/0.27	    ![X10, X11, X12]:
0.00/0.27	      (~ breln1(X10, X11)
0.00/0.27	       | breln1invset(X10, breln1compset(X10, X11, X12))
0.00/0.27	          = breln1compset(X10, breln1invset(X10, X12), 
0.00/0.27	              breln1invset(X10, X11))
0.00/0.27	       | ~ breln1(X10, X12)
0.00/0.27	       | ~ woz2W),
0.00/0.27	    inference('cnf', [status(esa)], [woz2W])).
0.00/0.27	tff('17', plain, woz2W, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('18', plain,
0.00/0.27	    ![X10, X11, X12]:
0.00/0.27	      (~ breln1(X10, X11)
0.00/0.27	       | breln1invset(X10, breln1compset(X10, X11, X12))
0.00/0.27	          = breln1compset(X10, breln1invset(X10, X12), 
0.00/0.27	              breln1invset(X10, X11))
0.00/0.27	       | ~ breln1(X10, X12)
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['16', '17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    ![X10, X11, X12]:
0.00/0.27	      (~ breln1(X10, X12)
0.00/0.27	       | breln1invset(X10, breln1compset(X10, X11, X12))
0.00/0.27	          = breln1compset(X10, breln1invset(X10, X12), 
0.00/0.27	              breln1invset(X10, X11))
0.00/0.27	       | ~ breln1(X10, X11)),
0.00/0.27	    inference('simplify', [status(thm)], ['18'])).
0.00/0.27	tff('20', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (breln1invset(X2, breln1compset(X2, X1, breln1invset(X2, X0)))
0.00/0.27	        = breln1compset(X2, X0, breln1invset(X2, X1))
0.00/0.27	       | ~ breln1(X2, X0)
0.00/0.27	       | ~ breln1(X2, X1)
0.00/0.27	       | ~ breln1(X2, breln1invset(X2, X0))),
0.00/0.27	    inference('sup+', [status(thm)], ['15', '19'])).
0.00/0.27	tff('21', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (~ breln1(X2, X1)
0.00/0.27	       | ~ breln1(X2, X0)
0.00/0.27	       | breln1invset(X2, breln1compset(X2, X1, breln1invset(X2, X0)))
0.00/0.27	          = breln1compset(X2, X0, breln1invset(X2, X1))),
0.00/0.27	    inference('clc', [status(thm)], ['20', '3'])).
0.00/0.27	tff('22', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (breln1(X1, breln1compset(X1, X2, breln1invset(X1, X0)))
0.00/0.27	       | ~ breln1(X1, X2)
0.00/0.27	       | ~ breln1(X1, X0)
0.00/0.27	       | ~ breln1(X1, breln1compset(X1, X0, breln1invset(X1, X2)))),
0.00/0.27	    inference('sup+', [status(thm)], ['21', '3'])).
0.00/0.27	tff('23', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ breln1(X1, X2)
0.00/0.27	       | ~ breln1(X1, breln1invset(X1, X0))
0.00/0.27	       | ~ breln1(X1, X2)
0.00/0.27	       | ~ breln1(X1, X0)
0.00/0.27	       | breln1(X1, breln1compset(X1, X0, breln1invset(X1, X2)))),
0.00/0.27	    inference('sup-', [status(thm)], ['11', '22'])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (breln1(X1, breln1compset(X1, X0, breln1invset(X1, X2)))
0.00/0.27	       | ~ breln1(X1, X0)
0.00/0.27	       | ~ breln1(X1, breln1invset(X1, X0))
0.00/0.27	       | ~ breln1(X1, X2)),
0.00/0.27	    inference('simplify', [status(thm)], ['23'])).
0.00/0.27	tff('25', plain,
0.00/0.27	    ![X0, X1, X2]:
0.00/0.27	      (~ breln1(X1, X2)
0.00/0.27	       | ~ breln1(X1, X0)
0.00/0.27	       | breln1(X1, breln1compset(X1, X0, breln1invset(X1, X2)))),
0.00/0.27	    inference('clc', [status(thm)], ['24', '3'])).
0.00/0.27	tff(breln1unionCommutes, axiom,
0.00/0.27	  (breln1unionCommutes <=>
0.00/0.27	   (![A,R]:
0.00/0.27	      (breln1(A,R) =>
0.00/0.27	       (![S]: (breln1(A,S) => (binunion(R,S) = binunion(S,R)))))))).
0.00/0.27	tff('26', plain,
0.00/0.27	    ![X5, X6, X7]:
0.00/0.27	      (~ breln1(X5, X6)
0.00/0.27	       | binunion(X6, X7) = binunion(X7, X6)
0.00/0.27	       | ~ breln1(X5, X7)
0.00/0.27	       | ~ breln1unionCommutes),
0.00/0.27	    inference('cnf', [status(esa)], [breln1unionCommutes])).
0.00/0.27	tff('27', plain, breln1unionCommutes,
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('28', plain,
0.00/0.27	    ![X5, X6, X7]:
0.00/0.27	      (~ breln1(X5, X6)
0.00/0.27	       | binunion(X6, X7) = binunion(X7, X6)
0.00/0.27	       | ~ breln1(X5, X7)
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['26', '27'])).
0.00/0.27	tff('29', plain,
0.00/0.27	    ![X5, X6, X7]:
0.00/0.27	      (~ breln1(X5, X7)
0.00/0.27	       | binunion(X6, X7) = binunion(X7, X6)
0.00/0.27	       | ~ breln1(X5, X6)),
0.00/0.27	    inference('simplify', [status(thm)], ['28'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    ![X0, X1, X2, X3]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ breln1(X2, X1)
0.00/0.27	       | ~ breln1(X2, X0)
0.00/0.27	       | ~ breln1(X2, X3)
0.00/0.27	       | binunion(X3, breln1compset(X2, X1, X0))
0.00/0.27	          = binunion(breln1compset(X2, X1, X0), X3)),
0.00/0.27	    inference('sup-', [status(thm)], ['11', '29'])).
0.00/0.27	tff('31', plain,
0.00/0.27	    ![X0, X1, X2, X3]:
0.00/0.27	      (binunion(X3, breln1compset(X2, X1, X0))
0.00/0.27	        = binunion(breln1compset(X2, X1, X0), X3)
0.00/0.27	       | ~ breln1(X2, X3)
0.00/0.27	       | ~ breln1(X2, X0)
0.00/0.27	       | ~ breln1(X2, X1)),
0.00/0.27	    inference('simplify', [status(thm)], ['30'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	     != binunion(
0.00/0.27	          breln1invset(sk_A6, 
0.00/0.27	            breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	              breln1invset(sk_A6, sk_S4))), 
0.00/0.27	          breln1invset(sk_A6, 
0.00/0.27	            breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	              breln1invset(sk_A6, sk_R6)))),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('33', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1invset(sk_A6, 
0.00/0.27	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	               breln1invset(sk_A6, sk_S4))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, sk_R6)
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['21', '32'])).
0.00/0.27	tff('34', plain, breln1(sk_A6, sk_R6),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('35', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1invset(sk_A6, 
0.00/0.27	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	               breln1invset(sk_A6, sk_S4))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['33', '34'])).
0.00/0.27	tff('36', plain,
0.00/0.27	    (~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(
0.00/0.27	             breln1invset(sk_A6, 
0.00/0.27	               breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	                 breln1invset(sk_A6, sk_S4))), 
0.00/0.27	             breln1compset(sk_A6, sk_R6, 
0.00/0.27	               breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))),
0.00/0.27	    inference('simplify', [status(thm)], ['35'])).
0.00/0.27	tff('37', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1invset(sk_A6, 
0.00/0.27	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	               breln1invset(sk_A6, sk_S4))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, sk_T1)
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['15', '36'])).
0.00/0.27	tff('38', plain, breln1(sk_A6, sk_T1),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('39', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1invset(sk_A6, 
0.00/0.27	             breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	               breln1invset(sk_A6, sk_S4))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, sk_T1))
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['37', '38'])).
0.00/0.27	tff('40', plain,
0.00/0.27	    (~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(
0.00/0.27	             breln1invset(sk_A6, 
0.00/0.27	               breln1compset(sk_A6, breln1invset(sk_A6, sk_T1), 
0.00/0.27	                 breln1invset(sk_A6, sk_S4))), 
0.00/0.27	             breln1compset(sk_A6, sk_R6, sk_T1))),
0.00/0.27	    inference('simplify', [status(thm)], ['39'])).
0.00/0.27	tff('41', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, sk_S4)
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['21', '40'])).
0.00/0.27	tff('42', plain, breln1(sk_A6, sk_S4),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('43', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))), 
0.00/0.27	           breln1compset(sk_A6, sk_R6, sk_T1))
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['41', '42'])).
0.00/0.27	tff('44', plain,
0.00/0.27	    (~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(
0.00/0.27	             breln1compset(sk_A6, sk_S4, 
0.00/0.27	               breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))), 
0.00/0.27	             breln1compset(sk_A6, sk_R6, sk_T1))),
0.00/0.27	    inference('simplify', [status(thm)], ['43'])).
0.00/0.27	tff('45', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, sk_R6)
0.00/0.27	     | ~ breln1(sk_A6, sk_T1)
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['31', '44'])).
0.00/0.27	tff('46', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['45', '34', '38'])).
0.00/0.27	tff('47', plain,
0.00/0.27	    (~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	             breln1compset(sk_A6, sk_S4, 
0.00/0.27	               breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))),
0.00/0.27	    inference('simplify', [status(thm)], ['46'])).
0.00/0.27	tff('48', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	           breln1compset(sk_A6, sk_S4, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, sk_T1)
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['15', '47'])).
0.00/0.27	tff('49', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	           breln1compset(sk_A6, sk_S4, sk_T1))
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['48', '38'])).
0.00/0.27	tff('50', plain,
0.00/0.27	    (~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, 
0.00/0.27	           breln1compset(sk_A6, sk_S4, 
0.00/0.27	             breln1invset(sk_A6, breln1invset(sk_A6, sk_T1))))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	             breln1compset(sk_A6, sk_S4, sk_T1))),
0.00/0.27	    inference('simplify', [status(thm)], ['49'])).
0.00/0.27	tff('51', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ breln1(sk_A6, sk_S4)
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	             breln1compset(sk_A6, sk_S4, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['25', '50'])).
0.00/0.27	tff('52', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))
0.00/0.27	     | breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	        != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	             breln1compset(sk_A6, sk_S4, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['51', '42'])).
0.00/0.27	tff('53', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != binunion(breln1compset(sk_A6, sk_R6, sk_T1), 
0.00/0.27	           breln1compset(sk_A6, sk_S4, sk_T1))
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('simplify', [status(thm)], ['52'])).
0.00/0.27	tff('54', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	     | ~ breln1(sk_A6, sk_R6)
0.00/0.27	     | ~ breln1(sk_A6, sk_T1)
0.00/0.27	     | ~ breln1(sk_A6, sk_S4)
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('sup-', [status(thm)], ['7', '53'])).
0.00/0.27	tff('55', plain,
0.00/0.27	    (breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	      != breln1compset(sk_A6, binunion(sk_R6, sk_S4), sk_T1)
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ $true
0.00/0.27	     | ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1))),
0.00/0.27	    inference('demod', [status(thm)], ['54', '34', '38', '42'])).
0.00/0.27	tff('56', plain, ~ breln1(sk_A6, breln1invset(sk_A6, sk_T1)),
0.00/0.27	    inference('simplify', [status(thm)], ['55'])).
0.00/0.27	tff('57', plain, (~ $true | ~ breln1(sk_A6, sk_T1)),
0.00/0.27	    inference('sup-', [status(thm)], ['3', '56'])).
0.00/0.27	tff('58', plain, (~ $true | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['57', '38'])).
0.00/0.27	tff('59', plain, $false, inference('simplify', [status(thm)], ['58'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
