0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.tUiNin57d5
0.13/0.34	% Computer   : n007.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1200
0.13/0.35	% DateTime   : Tue Jul 13 11:36:19 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	% Running portfolio for 120 s
0.13/0.35	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.35	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.55/0.65	% Estimated wc time : 1286
0.55/0.65	% Estimated cpu time (7 cpus) : 183.71428571428572
0.57/0.75	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
0.57/0.78	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
0.57/0.78	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
0.57/0.78	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
0.57/0.78	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
0.57/0.79	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
0.57/0.79	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.59/0.91	% Solved by lams/new_b3.2.norw.sh.
0.59/0.91	% done 87 iterations in 0.075s
0.59/0.91	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.59/0.91	% SZS output start Refutation
0.59/0.91	tff(cTHM559A_pme, conjecture,
0.59/0.91	  ((?[Xf:((a * a) > $o)]:
0.59/0.91	      (![Xx:a]:
0.59/0.91	         (Xf(Xx,Xx) & 
0.59/0.91	          (![Xx_0:a]: (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
0.59/0.91	          (?[Xz:a]: Xf(Xx,Xz))))) =>
0.59/0.91	   ((![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & 
0.59/0.91	    (![Xx:a,Xy:a,Xz:a]: ((cQ(Xx,Xy) & cQ(Xy,Xz)) => cQ(Xx,Xz))) & 
0.59/0.91	    (![Xx:a]: cQ(Xx,Xx))))).
0.59/0.91	tff(zf_stmt_0, negated_conjecture,
0.59/0.91	  (~
0.59/0.91	    ((?[Xf:((a * a) > $o)]:
0.59/0.91	        (![Xx:a]:
0.59/0.91	           (Xf(Xx,Xx) & 
0.59/0.91	            (![Xx_0:a]:
0.59/0.91	               (Xf(Xx,Xx_0) => (![Xy:a]: (Xf(Xx,Xy) <=> cQ(Xx_0,Xy))))) & 
0.59/0.91	            (?[Xz:a]: Xf(Xx,Xz))))) =>
0.59/0.91	     ((![Xx:a,Xy:a]: (cQ(Xx,Xy) => cQ(Xy,Xx))) & 
0.59/0.91	      (![Xx:a,Xy:a,Xz:a]: ((cQ(Xx,Xy) & cQ(Xy,Xz)) => cQ(Xx,Xz))) & 
0.59/0.91	      (![Xx:a]: cQ(Xx,Xx)))))).
0.59/0.91	tff('0', plain,
0.59/0.91	    ~ ((??((^[Y0 : (a * a) > $o]:
0.59/0.91	              (!!((^[Y1 : a]:
0.59/0.91	                     (Y0(Y1, Y1)&
0.59/0.91	                      (!!((^[Y2 : a]:
0.59/0.91	                             (Y0(Y1, Y2) =>
0.59/0.91	                              (!!((^[Y3 : a]: (Y0(Y1, Y3) <=> cQ(Y2, Y3)))))))))&
0.59/0.91	                      (??((^[Y2 : a]: Y0(Y1, Y2))))))))))) =>
0.59/0.91	       ((!!((^[Y0 : a]: (!!((^[Y1 : a]: (cQ(Y0, Y1) => cQ(Y1, Y0))))))))&
0.59/0.91	        (!!((^[Y0 : a]:
0.59/0.91	               (!!((^[Y1 : a]:
0.59/0.91	                      (!!((^[Y2 : a]:
0.59/0.91	                             ((cQ(Y0, Y1) & cQ(Y1, Y2)) => cQ(Y0, Y2)))))))))))&
0.59/0.91	        (!!((^[Y0 : a]: cQ(Y0, Y0)))))),
0.59/0.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.59/0.91	tff('1', plain,
0.59/0.91	    ~ ((??(($B(!!, 
0.59/0.91	            ($S(($B(S, 
0.59/0.91	                 ($S(($B(S, ($B(($B(&)), ($C(S, I)))))), 
0.59/0.91	                  ($B(($B(!!)), 
0.59/0.91	                   ($S(($B(S, ($B(($B(S)), ($B(($B(=>)))))))), 
0.59/0.91	                    ($B(($B(($B(!!)))), 
0.59/0.91	                     ($C(($B(C, 
0.59/0.91	                          ($B(($B(B)), ($B(($B(S)), ($B(($B(<=>)))))))))), 
0.59/0.91	                      cQ)))))))))))), 
0.59/0.91	             ($B(??)))))))) =>
0.59/0.91	       ((!!(($B(!!, ($S(($B(S, ($B(($B(=>)), cQ)))), ($C(cQ))))))))&
0.59/0.91	        (!!(($B(!!, 
0.59/0.91	             ($B(($B(!!)), 
0.59/0.91	              ($S(($B(C, 
0.59/0.91	                   ($B(($B(S)), 
0.59/0.91	                    ($B(($B(($B(=>)))), 
0.59/0.91	                     ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	               cQ))))))))&
0.59/0.91	        (!!(($S(cQ, I)))))),
0.59/0.91	    inference('lams2combs', [status(thm)], ['0'])).
0.59/0.91	tff('2', plain,
0.59/0.91	    ~ ((!!(($B(!!, ($S(($B(S, ($B(($B(=>)), cQ)))), ($C(cQ))))))))&
0.59/0.91	       (!!(($B(!!, 
0.59/0.91	            ($B(($B(!!)), 
0.59/0.91	             ($S(($B(C, 
0.59/0.91	                  ($B(($B(S)), 
0.59/0.91	                   ($B(($B(($B(=>)))), 
0.59/0.91	                    ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	              cQ))))))))&
0.59/0.91	       (!!(($S(cQ, I))))),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['1'])).
0.59/0.91	tff('3', plain,
0.59/0.91	    (~ (!!(($B(!!, ($S(($B(S, ($B(($B(=>)), cQ)))), ($C(cQ))))))))
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))
0.59/0.91	     | ~ (!!(($S(cQ, I))))),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['2'])).
0.59/0.91	tff('4', plain,
0.59/0.91	    (~ (!!(($S(($B(=>, cQ('#sk2'))), ($C(cQ, '#sk2'))))))
0.59/0.91	     | ~ (!!(($S(cQ, I))))
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['3'])).
0.59/0.91	tff('5', plain,
0.59/0.91	    (~ (cQ('#sk2', '#sk3') => cQ('#sk3', '#sk2'))
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))
0.59/0.91	     | ~ (!!(($S(cQ, I))))),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['4'])).
0.59/0.91	tff('6', plain,
0.59/0.91	    (~ cQ('#sk3', '#sk2')
0.59/0.91	     | ~ (!!(($S(cQ, I))))
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['5'])).
0.59/0.91	tff('7', plain,
0.59/0.91	    (~ cQ('#sk5', '#sk5')
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))
0.59/0.91	     | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['6'])).
0.59/0.91	tff('8', plain,
0.59/0.91	    (~ (!!(($B(!!, 
0.59/0.91	            ($C(($B(S, 
0.59/0.91	                 ($B(($B(=>)), ($S(($B(B, ($B(&, cQ('#sk6'))))), cQ)))))), 
0.59/0.91	             cQ('#sk6')))))))
0.59/0.91	     | ~ cQ('#sk3', '#sk2')
0.59/0.91	     | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['7'])).
0.59/0.91	tff('9', plain,
0.59/0.91	    (~ (!!(($S(($B(=>, ($B((&(cQ('#sk6', '#sk7'))), cQ('#sk7'))))), 
0.59/0.91	            cQ('#sk6')))))
0.59/0.91	     | ~ cQ('#sk5', '#sk5')
0.59/0.91	     | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['8'])).
0.59/0.91	tff('10', plain,
0.59/0.91	    (~ ((cQ('#sk6', '#sk7') & cQ('#sk7', '#sk8')) => cQ('#sk6', '#sk8'))
0.59/0.91	     | ~ cQ('#sk3', '#sk2')
0.59/0.91	     | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['9'])).
0.59/0.91	tff('11', plain,
0.59/0.91	    ( (cQ('#sk6', '#sk7') & cQ('#sk7', '#sk8'))
0.59/0.91	     | ~ cQ('#sk5', '#sk5')
0.59/0.91	     | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['10'])).
0.59/0.91	tff('12', plain,
0.59/0.91	    ( cQ('#sk7', '#sk8') | ~ cQ('#sk3', '#sk2') | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['11'])).
0.59/0.91	tff('13', plain,
0.59/0.91	     (??(($B(!!, 
0.59/0.91	          ($S(($B(S, 
0.59/0.91	               ($S(($B(S, ($B(($B(&)), ($C(S, I)))))), 
0.59/0.91	                ($B(($B(!!)), 
0.59/0.91	                 ($S(($B(S, ($B(($B(S)), ($B(($B(=>)))))))), 
0.59/0.91	                  ($B(($B(($B(!!)))), 
0.59/0.91	                   ($C(($B(C, ($B(($B(B)), ($B(($B(S)), ($B(($B(<=>)))))))))), 
0.59/0.91	                    cQ)))))))))))), 
0.59/0.91	           ($B(??)))))))),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['1'])).
0.59/0.91	tff('14', plain,
0.59/0.91	     (!!(($S(($S(($B(&, ($S('#sk1', I)))), 
0.59/0.91	              ($B(!!, 
0.59/0.91	               ($S(($B(S, ($B(($B(=>)), '#sk1')))), 
0.59/0.91	                ($B(($B(!!)), 
0.59/0.91	                 ($C(($B(B, ($B(S, ($B(($B(<=>)), '#sk1')))))), cQ)))))))))), 
0.59/0.91	          ($B(??, '#sk1')))))),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['13'])).
0.59/0.91	tff('15', plain,
0.59/0.91	    ![X1 : a]:
0.59/0.91	       ('#sk1'(X1, X1)&
0.59/0.91	        (!!(($S(($B(=>, '#sk1'(X1))), 
0.59/0.91	             ($B(!!, ($B(($S(($B(<=>, '#sk1'(X1))))), cQ))))))))&
0.59/0.91	        (??('#sk1'(X1)))),
0.59/0.91	    inference('lazy_cnf_forall', [status(thm)], ['14'])).
0.59/0.91	tff('16', plain, ![X1 : a]:  '#sk1'(X1, X1),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['15'])).
0.59/0.91	tff('17', plain, ![X1 : a]:  '#sk1'(X1, X1),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['15'])).
0.59/0.91	tff('18', plain,
0.59/0.91	    ![X1 : a]:
0.59/0.91	       (!!(($S(($B(=>, '#sk1'(X1))), 
0.59/0.91	            ($B(!!, ($B(($S(($B(<=>, '#sk1'(X1))))), cQ)))))))),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['15'])).
0.59/0.91	tff('19', plain,
0.59/0.91	    ![X1 : a, X2 : a]:
0.59/0.91	       ('#sk1'(X1, X2) => (!!(($S(($B(<=>, '#sk1'(X1))), cQ(X2)))))),
0.59/0.91	    inference('lazy_cnf_forall', [status(thm)], ['18'])).
0.59/0.91	tff('20', plain,
0.59/0.91	    ![X1 : a, X2 : a]:
0.59/0.91	      (~ '#sk1'(X1, X2) |  (!!(($S(($B(<=>, '#sk1'(X1))), cQ(X2)))))),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
0.59/0.91	tff('21', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]:
0.59/0.91	      ( ('#sk1'(X1, X3) <=> cQ(X2, X3)) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('lazy_cnf_forall', [status(thm)], ['20'])).
0.59/0.91	tff('22', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]:
0.59/0.91	      ('#sk1'(X1, X3) = cQ(X2, X3) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('simplify nested equalities', [status(thm)], ['21'])).
0.59/0.91	tff('23', plain, ![X0 : a, X1 : a]: '#sk1'(X0, X1) = cQ(X0, X1),
0.59/0.91	    inference('sup-', [status(thm)], ['17', '22'])).
0.59/0.91	tff('24', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('25', plain, ( cQ('#sk7', '#sk8') | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('demod', [status(thm)], ['12', '24'])).
0.59/0.91	tff('26', plain,
0.59/0.91	    ( cQ('#sk2', '#sk3')
0.59/0.91	     | ~ (!!(($S(cQ, I))))
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['5'])).
0.59/0.91	tff('27', plain,
0.59/0.91	    (~ cQ('#sk5', '#sk5')
0.59/0.91	     | ~ (!!(($B(!!, 
0.59/0.91	              ($B(($B(!!)), 
0.59/0.91	               ($S(($B(C, 
0.59/0.91	                    ($B(($B(S)), 
0.59/0.91	                     ($B(($B(($B(=>)))), 
0.59/0.91	                      ($C(($B(S, ($B(($B(B)), ($B(($B(&)), cQ)))))), cQ)))))))), 
0.59/0.91	                cQ))))))))
0.59/0.91	     |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['26'])).
0.59/0.91	tff('28', plain,
0.59/0.91	    (~ (!!(($B(!!, 
0.59/0.91	            ($C(($B(S, 
0.59/0.91	                 ($B(($B(=>)), ($S(($B(B, ($B(&, cQ('#sk6'))))), cQ)))))), 
0.59/0.91	             cQ('#sk6')))))))
0.59/0.91	     |  cQ('#sk2', '#sk3')
0.59/0.91	     | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['27'])).
0.59/0.91	tff('29', plain,
0.59/0.91	    (~ (!!(($S(($B(=>, ($B((&(cQ('#sk6', '#sk7'))), cQ('#sk7'))))), 
0.59/0.91	            cQ('#sk6')))))
0.59/0.91	     | ~ cQ('#sk5', '#sk5')
0.59/0.91	     |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['28'])).
0.59/0.91	tff('30', plain,
0.59/0.91	    (~ ((cQ('#sk6', '#sk7') & cQ('#sk7', '#sk8')) => cQ('#sk6', '#sk8'))
0.59/0.91	     |  cQ('#sk2', '#sk3')
0.59/0.91	     | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_exists', [status(thm)], ['29'])).
0.59/0.91	tff('31', plain,
0.59/0.91	    ( (cQ('#sk6', '#sk7') & cQ('#sk7', '#sk8'))
0.59/0.91	     | ~ cQ('#sk5', '#sk5')
0.59/0.91	     |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['30'])).
0.59/0.91	tff('32', plain,
0.59/0.91	    ( cQ('#sk6', '#sk7') |  cQ('#sk2', '#sk3') | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['31'])).
0.59/0.91	tff('33', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('34', plain, ( cQ('#sk6', '#sk7') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('demod', [status(thm)], ['32', '33'])).
0.59/0.91	tff('35', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]:
0.59/0.91	      ('#sk1'(X1, X3) = cQ(X2, X3) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('simplify nested equalities', [status(thm)], ['21'])).
0.59/0.91	tff('36', plain, ![X1 : a, X2 : a]: ('#sk1'(X1) = cQ(X2) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('ho_ext_pos_general', [status(thm)], ['35'])).
0.59/0.91	tff('37', plain, ![X1 : a]:  '#sk1'(X1, X1),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['15'])).
0.59/0.91	tff('38', plain, ![X1 : a, X2 : a]: ('#sk1'(X1) = cQ(X2) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('ho_ext_pos_general', [status(thm)], ['35'])).
0.59/0.91	tff('39', plain, ![X0 : a]: '#sk1'(X0) = cQ(X0),
0.59/0.91	    inference('sup-', [status(thm)], ['37', '38'])).
0.59/0.91	tff('40', plain, ![X1 : a, X2 : a]: (cQ(X1) = cQ(X2) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['36', '39'])).
0.59/0.91	tff('41', plain, ![X0 : a, X1 : a]: '#sk1'(X0, X1) = cQ(X0, X1),
0.59/0.91	    inference('sup-', [status(thm)], ['17', '22'])).
0.59/0.91	tff('42', plain, ![X1 : a, X2 : a]: (cQ(X1) = cQ(X2) | ~ cQ(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['40', '41'])).
0.59/0.91	tff('43', plain, ( cQ('#sk2', '#sk3') | cQ('#sk6') = cQ('#sk7')),
0.59/0.91	    inference('sup-', [status(thm)], ['34', '42'])).
0.59/0.91	tff('44', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]:
0.59/0.91	      ('#sk1'(X1, X3) = cQ(X2, X3) | ~ '#sk1'(X1, X2)),
0.59/0.91	    inference('simplify nested equalities', [status(thm)], ['21'])).
0.59/0.91	tff('45', plain, ![X0 : a, X1 : a]: '#sk1'(X0, X1) = cQ(X0, X1),
0.59/0.91	    inference('sup-', [status(thm)], ['17', '22'])).
0.59/0.91	tff('46', plain, ![X0 : a, X1 : a]: '#sk1'(X0, X1) = cQ(X0, X1),
0.59/0.91	    inference('sup-', [status(thm)], ['17', '22'])).
0.59/0.91	tff('47', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]: (cQ(X1, X3) = cQ(X2, X3) | ~ cQ(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['44', '45', '46'])).
0.59/0.91	tff('48', plain,
0.59/0.91	    ![X0 : a]: (cQ('#sk6') = cQ('#sk7') | cQ('#sk2', X0) = cQ('#sk3', X0)),
0.59/0.91	    inference('sup-', [status(thm)], ['43', '47'])).
0.59/0.91	tff('49', plain,
0.59/0.91	    ( cQ('#sk6', '#sk7') | ~ cQ('#sk3', '#sk2') | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['11'])).
0.59/0.91	tff('50', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('51', plain, ( cQ('#sk6', '#sk7') | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('demod', [status(thm)], ['49', '50'])).
0.59/0.91	tff('52', plain,
0.59/0.91	    (~ cQ('#sk2', '#sk2') | cQ('#sk6') = cQ('#sk7') |  cQ('#sk6', '#sk7')),
0.59/0.91	    inference('sup-', [status(thm)], ['48', '51'])).
0.59/0.91	tff('53', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('54', plain, (cQ('#sk6') = cQ('#sk7') |  cQ('#sk6', '#sk7')),
0.59/0.91	    inference('demod', [status(thm)], ['52', '53'])).
0.59/0.91	tff('55', plain, ![X1 : a, X2 : a]: (cQ(X1) = cQ(X2) | ~ cQ(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['40', '41'])).
0.59/0.91	tff('56', plain, cQ('#sk6') = cQ('#sk7'),
0.59/0.91	    inference('clc', [status(thm)], ['54', '55'])).
0.59/0.91	tff('57', plain, ![X1 : a]: cQ('#sk6', X1) = cQ('#sk7', X1),
0.59/0.91	    inference('ho_complete_eq', [status(thm)], ['56'])).
0.59/0.91	tff('58', plain, ( cQ('#sk6', '#sk8') | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('demod', [status(thm)], ['25', '57'])).
0.59/0.91	tff('59', plain,
0.59/0.91	    (~ cQ('#sk6', '#sk8') | ~ cQ('#sk5', '#sk5') | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['10'])).
0.59/0.91	tff('60', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('61', plain, (~ cQ('#sk6', '#sk8') | ~ cQ('#sk3', '#sk2')),
0.59/0.91	    inference('demod', [status(thm)], ['59', '60'])).
0.59/0.91	tff('62', plain, ~ cQ('#sk3', '#sk2'),
0.59/0.91	    inference('clc', [status(thm)], ['58', '61'])).
0.59/0.91	tff('63', plain,
0.59/0.91	    ( cQ('#sk7', '#sk8') |  cQ('#sk2', '#sk3') | ~ cQ('#sk5', '#sk5')),
0.59/0.91	    inference('lazy_cnf_and', [status(thm)], ['31'])).
0.59/0.91	tff('64', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('65', plain, ( cQ('#sk7', '#sk8') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('demod', [status(thm)], ['63', '64'])).
0.59/0.91	tff('66', plain, ( cQ('#sk6', '#sk7') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('demod', [status(thm)], ['32', '33'])).
0.59/0.91	tff('67', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]: (cQ(X1, X3) = cQ(X2, X3) | ~ cQ(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['44', '45', '46'])).
0.59/0.91	tff('68', plain,
0.59/0.91	    ![X0 : a]: ( cQ('#sk2', '#sk3') | cQ('#sk6', X0) = cQ('#sk7', X0)),
0.59/0.91	    inference('sup-', [status(thm)], ['66', '67'])).
0.59/0.91	tff('69', plain,
0.59/0.91	    ( cQ('#sk6', '#sk8') |  cQ('#sk2', '#sk3') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('sup+', [status(thm)], ['65', '68'])).
0.59/0.91	tff('70', plain, ( cQ('#sk2', '#sk3') |  cQ('#sk6', '#sk8')),
0.59/0.91	    inference('simplify', [status(thm)], ['69'])).
0.59/0.91	tff('71', plain,
0.59/0.91	    (~ cQ('#sk6', '#sk8') | ~ cQ('#sk5', '#sk5') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('lazy_cnf_imply', [status(thm)], ['30'])).
0.59/0.91	tff('72', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('73', plain, (~ cQ('#sk6', '#sk8') |  cQ('#sk2', '#sk3')),
0.59/0.91	    inference('demod', [status(thm)], ['71', '72'])).
0.59/0.91	tff('74', plain,  cQ('#sk2', '#sk3'),
0.59/0.91	    inference('clc', [status(thm)], ['70', '73'])).
0.59/0.91	tff('75', plain,
0.59/0.91	    ![X1 : a, X2 : a, X3 : a]: (cQ(X1, X3) = cQ(X2, X3) | ~ cQ(X1, X2)),
0.59/0.91	    inference('demod', [status(thm)], ['44', '45', '46'])).
0.59/0.91	tff('76', plain, ![X0 : a]: cQ('#sk2', X0) = cQ('#sk3', X0),
0.59/0.91	    inference('sup-', [status(thm)], ['74', '75'])).
0.59/0.91	tff('77', plain, ![X1 : a]:  cQ(X1, X1),
0.59/0.91	    inference('demod', [status(thm)], ['16', '23'])).
0.59/0.91	tff('78', plain, $false,
0.59/0.91	    inference('demod', [status(thm)], ['62', '76', '77'])).
0.59/0.91	
0.59/0.91	% SZS output end Refutation
0.59/0.91	
0.59/0.91	
0.59/0.91	% Terminating...
0.62/0.96	% Runner terminated.
0.62/0.97	% Zipperpin 1.5 exiting
0.62/0.97	EOF