0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.enqfX1jIsR
0.13/0.34	% Computer   : n014.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
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% DateTime   : Tue Jul 13 15:32:34 EDT 2021
0.13/0.34	% CPUTime    : 
0.13/0.34	% Running portfolio for 120 s
0.13/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.34	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.52/0.61	% Estimated wc time : 1286
0.52/0.61	% Estimated cpu time (7 cpus) : 183.71428571428572
0.53/0.68	% /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s
0.53/0.70	% /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.53/0.73	% /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s
0.54/0.82	% Solved by lams/old_b3.avatar.sh.
0.54/0.82	% done 61 iterations in 0.056s
0.54/0.82	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.54/0.82	% SZS output start Refutation
0.54/0.82	tff(replAx, axiom, replAx <=>
0.54/0.82	  (![Xphi:(($i * $i) > $o),A]:
0.54/0.82	     ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) =>
0.54/0.82	      (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))).
0.54/0.82	tff('0', plain,
0.54/0.82	    replAx =
0.54/0.82	    (![X4:(($i * $i) > $o),X6]:
0.54/0.82	       ((![X8]: (in(X8,X6) => exu(^[V_1]: X4(X8,V_1)))) =>
0.54/0.82	        (?[X10]:
0.54/0.82	           (![X12]: (in(X12,X10) <=> (?[X14]: (X4(X14,X12) & in(X14,X6)))))))),
0.54/0.82	    define([status(thm)])).
0.54/0.82	tff(exu, axiom, exu() =
0.54/0.82	  ^[Xphi:(($i > $o))]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))).
0.54/0.82	tff('1', plain,
0.54/0.82	    exu =
0.54/0.82	    (^[Xphi:(($i > $o))]:
0.54/0.82	       (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))),
0.54/0.82	    inference('simplify_rw_rule', [status(thm)], [exu])).
0.54/0.82	tff('2', plain,
0.54/0.82	    exu =
0.54/0.82	    (^[V_1:(($i > $o))]: (?[X4]: ((![X6]: (V_1(X6) => (X4 = X6))) & V_1(X4)))),
0.54/0.82	    define([status(thm)])).
0.54/0.82	tff(image1Ex, conjecture,
0.54/0.82	  (replAx =>
0.54/0.82	   (![A,Xf:(($i > $i))]:
0.54/0.82	      (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (in(Xy,A) & (Xx = Xf(Xy)))))))))).
0.54/0.82	tff(zf_stmt_0, conjecture,
0.54/0.82	  ((![X4:(($i * $i) > $o),X6]:
0.54/0.82	      ((![X8]:
0.54/0.82	          (in(X8,X6) =>
0.54/0.82	           (?[X10]: (X4(X8,X10) & (![X12]: (X4(X8,X12) => (X10 = X12))))))) =>
0.54/0.82	       (?[X14]:
0.54/0.82	          (![X16]: (in(X16,X14) <=> (?[X18]: (in(X18,X6) & X4(X18,X16)))))))) =>
0.54/0.82	   (![X20,X22:(($i > $i))]:
0.54/0.82	      (?[X24]:
0.54/0.82	         (![X26]:
0.54/0.82	            (in(X26,X24) <=> (?[X28]: ((X26 = X22(X28)) & in(X28,X20))))))))).
0.54/0.82	tff(zf_stmt_1, negated_conjecture,
0.54/0.82	  (~
0.54/0.82	    ((![X4:(($i * $i) > $o),X6]:
0.54/0.82	        ((![X8]:
0.54/0.82	            (in(X8,X6) =>
0.54/0.82	             (?[X10]: (X4(X8,X10) & (![X12]: (X4(X8,X12) => (X10 = X12))))))) =>
0.54/0.82	         (?[X14]:
0.54/0.82	            (![X16]: (in(X16,X14) <=> (?[X18]: (in(X18,X6) & X4(X18,X16)))))))) =>
0.54/0.82	     (![X20,X22:(($i > $i))]:
0.54/0.82	        (?[X24]:
0.54/0.82	           (![X26]:
0.54/0.82	              (in(X26,X24) <=> (?[X28]: ((X26 = X22(X28)) & in(X28,X20)))))))))).
0.54/0.82	tff('3', plain,
0.54/0.82	    ~ ((!!((^[Y0 : ($i * $i) > $o]:
0.54/0.82	              (!!((^[Y1 : $i]:
0.54/0.82	                     ((!!((^[Y2 : $i]:
0.54/0.82	                             (in(Y2, Y1) =>
0.54/0.82	                              (??((^[Y3 : $i]:
0.54/0.82	                                     (Y0(Y2, Y3) &
0.54/0.82	                                      (!!((^[Y4 : $i]:
0.54/0.82	                                             (Y0(Y2, Y4) => (Y3 = Y4))))))))))))) =>
0.54/0.82	                      (??((^[Y2 : $i]:
0.54/0.82	                             (!!((^[Y3 : $i]:
0.54/0.82	                                    (in(Y3, Y2) <=>
0.54/0.82	                                     (??((^[Y4 : $i]:
0.54/0.82	                                            (in(Y4, Y1) & Y0(Y4, Y3))))))))))))))))))) =>
0.54/0.82	       (!!((^[Y0 : $i]:
0.54/0.82	              (!!((^[Y1 : $i > $i]:
0.54/0.82	                     (??((^[Y2 : $i]:
0.54/0.82	                            (!!((^[Y3 : $i]:
0.54/0.82	                                   (in(Y3, Y2) <=>
0.54/0.82	                                    (??((^[Y4 : $i]:
0.54/0.82	                                           ((Y3 = Y1(Y4)) & in(Y4, Y0))))))))))))))))))),
0.54/0.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.54/0.82	tff('4', plain,
0.54/0.82	     (!!((^[Y0 : ($i * $i) > $o]:
0.54/0.82	            (!!((^[Y1 : $i]:
0.54/0.82	                   ((!!((^[Y2 : $i]:
0.54/0.82	                           (in(Y2, Y1) =>
0.54/0.82	                            (??((^[Y3 : $i]:
0.54/0.82	                                   (Y0(Y2, Y3) &
0.54/0.82	                                    (!!((^[Y4 : $i]:
0.54/0.82	                                           (Y0(Y2, Y4) => (Y3 = Y4))))))))))))) =>
0.54/0.82	                    (??((^[Y2 : $i]:
0.54/0.82	                           (!!((^[Y3 : $i]:
0.54/0.82	                                  (in(Y3, Y2) <=>
0.54/0.82	                                   (??((^[Y4 : $i]: (in(Y4, Y1) & Y0(Y4, Y3))))))))))))))))))),
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['3'])).
0.54/0.82	tff('5', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o]:
0.54/0.82	       (!!((^[Y0 : $i]:
0.54/0.82	              ((!!((^[Y1 : $i]:
0.54/0.82	                      (in(Y1, Y0) =>
0.54/0.82	                       (??((^[Y2 : $i]:
0.54/0.82	                              (X1(Y1, Y2) &
0.54/0.82	                               (!!((^[Y3 : $i]: (X1(Y1, Y3) => (Y2 = Y3))))))))))))) =>
0.54/0.82	               (??((^[Y1 : $i]:
0.54/0.82	                      (!!((^[Y2 : $i]:
0.54/0.82	                             (in(Y2, Y1) <=>
0.54/0.82	                              (??((^[Y3 : $i]: (in(Y3, Y0) & X1(Y3, Y2)))))))))))))))),
0.54/0.82	    inference('lazy_cnf_forall', [status(thm)], ['4'])).
0.54/0.82	tff('6', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o, X2]:
0.54/0.82	       ((!!((^[Y0 : $i]:
0.54/0.82	               (in(Y0, X2) =>
0.54/0.82	                (??((^[Y1 : $i]:
0.54/0.82	                       (X1(Y0, Y1) &
0.54/0.82	                        (!!((^[Y2 : $i]: (X1(Y0, Y2) => (Y1 = Y2))))))))))))) =>
0.54/0.82	        (??((^[Y0 : $i]:
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      (in(Y1, Y0) <=>
0.54/0.82	                       (??((^[Y2 : $i]: (in(Y2, X2) & X1(Y2, Y1))))))))))))),
0.54/0.82	    inference('lazy_cnf_forall', [status(thm)], ['5'])).
0.54/0.82	tff('7', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o, X2]:
0.54/0.82	      (~ (!!((^[Y0 : $i]:
0.54/0.82	                (in(Y0, X2) =>
0.54/0.82	                 (??((^[Y1 : $i]:
0.54/0.82	                        (X1(Y0, Y1) &
0.54/0.82	                         (!!((^[Y2 : $i]: (X1(Y0, Y2) => (Y1 = Y2)))))))))))))
0.54/0.82	       |  (??((^[Y0 : $i]:
0.54/0.82	                 (!!((^[Y1 : $i]:
0.54/0.82	                        (in(Y1, Y0) <=>
0.54/0.82	                         (??((^[Y2 : $i]: (in(Y2, X2) & X1(Y2, Y1))))))))))))),
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['6'])).
0.54/0.82	tff('8', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o, X2]:
0.54/0.82	      (~ (in('#sk95'(X1, X2), X2) =>
0.54/0.82	          (??((^[Y0 : $i]:
0.54/0.82	                 (X1('#sk95'(X1, X2), Y0) &
0.54/0.82	                  (!!((^[Y1 : $i]: (X1('#sk95'(X1, X2), Y1) => (Y0 = Y1))))))))))
0.54/0.82	       |  (??((^[Y0 : $i]:
0.54/0.82	                 (!!((^[Y1 : $i]:
0.54/0.82	                        (in(Y1, Y0) <=>
0.54/0.82	                         (??((^[Y2 : $i]: (in(Y2, X2) & X1(Y2, Y1))))))))))))),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['7'])).
0.54/0.82	tff('9', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o, X2]:
0.54/0.82	      ( in('#sk95'(X1, X2), X2)
0.54/0.82	       |  (??((^[Y0 : $i]:
0.54/0.82	                 (!!((^[Y1 : $i]:
0.54/0.82	                        (in(Y1, Y0) <=>
0.54/0.82	                         (??((^[Y2 : $i]: (in(Y2, X2) & X1(Y2, Y1))))))))))))),
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['8'])).
0.54/0.82	tff('10', plain,
0.54/0.82	    ~ (!!((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i > $i]:
0.54/0.82	                    (??((^[Y2 : $i]:
0.54/0.82	                           (!!((^[Y3 : $i]:
0.54/0.82	                                  (in(Y3, Y2) <=>
0.54/0.82	                                   (??((^[Y4 : $i]:
0.54/0.82	                                          ((Y3 = Y1(Y4)) & in(Y4, Y0)))))))))))))))))),
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['3'])).
0.54/0.82	tff('11', plain,
0.54/0.82	    ~ (!!((^[Y0 : $i > $i]:
0.54/0.82	             (??((^[Y1 : $i]:
0.54/0.82	                    (!!((^[Y2 : $i]:
0.54/0.82	                           (in(Y2, Y1) <=>
0.54/0.82	                            (??((^[Y3 : $i]: ((Y2 = Y0(Y3)) & in(Y3, '#sk1'))))))))))))))),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['10'])).
0.54/0.82	tff('12', plain,
0.54/0.82	    ~ (??((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i]:
0.54/0.82	                    (in(Y1, Y0) <=>
0.54/0.82	                     (??((^[Y2 : $i]: ((Y1 = '#sk2'(Y2)) & in(Y2, '#sk1')))))))))))),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['11'])).
0.54/0.82	tff('13', plain,
0.54/0.82	     in('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1'), '#sk1'),
0.54/0.82	    inference('sup-', [status(thm)], ['9', '12'])).
0.54/0.82	tff('14', plain,
0.54/0.82	    ![X1 : ($i * $i) > $o, X2]:
0.54/0.82	      (~ (in('#sk95'(X1, X2), X2) =>
0.54/0.82	          (??((^[Y0 : $i]:
0.54/0.82	                 (X1('#sk95'(X1, X2), Y0) &
0.54/0.82	                  (!!((^[Y1 : $i]: (X1('#sk95'(X1, X2), Y1) => (Y0 = Y1))))))))))
0.54/0.82	       |  (??((^[Y0 : $i]:
0.54/0.82	                 (!!((^[Y1 : $i]:
0.54/0.82	                        (in(Y1, Y0) <=>
0.54/0.82	                         (??((^[Y2 : $i]: (in(Y2, X2) & X1(Y2, Y1))))))))))))),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['7'])).
0.54/0.82	tff('15', plain,
0.54/0.82	    (~ ($true =>
0.54/0.82	        (??((^[Y0 : $i]:
0.54/0.82	               ((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1)))(
0.54/0.82	                  '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'), 
0.54/0.82	                  Y0) &
0.54/0.82	                (!!((^[Y1 : $i]:
0.54/0.82	                       ((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2)))(
0.54/0.82	                          '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                            '#sk1'), Y1) =>
0.54/0.82	                        (Y0 = Y1))))))))))
0.54/0.82	     |  (??((^[Y0 : $i]:
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      (in(Y1, Y0) <=>
0.54/0.82	                       (??((^[Y2 : $i]:
0.54/0.82	                              (in(Y2, '#sk1') &
0.54/0.82	                               (^[Y3 : $i,Y4 : $i]: (Y4 = '#sk2'(Y3)))(Y2, 
0.54/0.82	                                 Y1))))))))))))),
0.54/0.82	    inference('sup-', [status(thm)], ['13', '14'])).
0.54/0.82	tff('16', plain,
0.54/0.82	    (~ ($true =>
0.54/0.82	        (??((^[Y0 : $i]:
0.54/0.82	               ((Y0 =
0.54/0.82	                 '#sk2'(
0.54/0.82	                   '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	                (!!((^[Y1 : $i]:
0.54/0.82	                       ((Y1 =
0.54/0.82	                         '#sk2'(
0.54/0.82	                           '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                             '#sk1'))) =>
0.54/0.82	                        (Y0 = Y1))))))))))
0.54/0.82	     |  (??((^[Y0 : $i]:
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      (in(Y1, Y0) <=>
0.54/0.82	                       (??((^[Y2 : $i]: (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2)))))))))))))),
0.54/0.82	    inference('ho_norm', [status(thm)], ['15'])).
0.54/0.82	tff('17', plain,
0.54/0.82	    (~ (??((^[Y0 : $i]:
0.54/0.82	              ((Y0 =
0.54/0.82	                '#sk2'(
0.54/0.82	                  '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      ((Y1 =
0.54/0.82	                        '#sk2'(
0.54/0.82	                          '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                            '#sk1'))) =>
0.54/0.82	                       (Y0 = Y1)))))))))
0.54/0.82	     |  (??((^[Y0 : $i]:
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      (in(Y1, Y0) <=>
0.54/0.82	                       (??((^[Y2 : $i]: (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2)))))))))))))),
0.54/0.82	    inference('simplify boolean subterms', [status(thm)], ['16'])).
0.54/0.82	tff('18', plain,
0.54/0.82	    (~ (??((^[Y0 : $i]:
0.54/0.82	              ((Y0 =
0.54/0.82	                '#sk2'(
0.54/0.82	                  '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	               (!!((^[Y1 : $i]:
0.54/0.82	                      ((Y1 =
0.54/0.82	                        '#sk2'(
0.54/0.82	                          '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                            '#sk1'))) =>
0.54/0.82	                       (Y0 = Y1))))))))))
0.54/0.82	      <= (~
0.54/0.82	          ( (??((^[Y0 : $i]:
0.54/0.82	                   ((Y0 =
0.54/0.82	                     '#sk2'(
0.54/0.82	                       '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), 
0.54/0.82	                         '#sk1'))) &
0.54/0.82	                    (!!((^[Y1 : $i]:
0.54/0.82	                           ((Y1 =
0.54/0.82	                             '#sk2'(
0.54/0.82	                               '#sk95'(
0.54/0.82	                                 (^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                                 '#sk1'))) =>
0.54/0.82	                            (Y0 = Y1))))))))))),
0.54/0.82	    inference('split', [status(esa)], ['17'])).
0.54/0.82	tff('19', plain,
0.54/0.82	    ( (??((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i]:
0.54/0.82	                    (in(Y1, Y0) <=>
0.54/0.82	                     (??((^[Y2 : $i]: (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2))))))))))))))
0.54/0.82	      <= (( (??((^[Y0 : $i]:
0.54/0.82	                   (!!((^[Y1 : $i]:
0.54/0.82	                          (in(Y1, Y0) <=>
0.54/0.82	                           (??((^[Y2 : $i]:
0.54/0.82	                                  (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2))))))))))))))),
0.54/0.82	    inference('split', [status(esa)], ['17'])).
0.54/0.82	tff('20', plain,
0.54/0.82	    ~ (??((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i]:
0.54/0.82	                    (in(Y1, Y0) <=>
0.54/0.82	                     (??((^[Y2 : $i]: ((Y1 = '#sk2'(Y2)) & in(Y2, '#sk1')))))))))))),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['11'])).
0.54/0.82	tff('21', plain,
0.54/0.82	    ~
0.54/0.82	    ( (??((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i]:
0.54/0.82	                    (in(Y1, Y0) <=>
0.54/0.82	                     (??((^[Y2 : $i]: (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2)))))))))))))),
0.54/0.82	    inference('sup-', [status(thm)], ['19', '20'])).
0.54/0.82	tff('22', plain,
0.54/0.82	    ~
0.54/0.82	    ( (??((^[Y0 : $i]:
0.54/0.82	             ((Y0 =
0.54/0.82	               '#sk2'(
0.54/0.82	                 '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	              (!!((^[Y1 : $i]:
0.54/0.82	                     ((Y1 =
0.54/0.82	                       '#sk2'(
0.54/0.82	                         '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                           '#sk1'))) =>
0.54/0.82	                      (Y0 = Y1)))))))))) | 
0.54/0.82	    ( (??((^[Y0 : $i]:
0.54/0.82	             (!!((^[Y1 : $i]:
0.54/0.82	                    (in(Y1, Y0) <=>
0.54/0.82	                     (??((^[Y2 : $i]: (in(Y2, '#sk1') & (Y1 = '#sk2'(Y2)))))))))))))),
0.54/0.82	    inference('split', [status(esa)], ['17'])).
0.54/0.82	tff('23', plain,
0.54/0.82	    ~
0.54/0.82	    ( (??((^[Y0 : $i]:
0.54/0.82	             ((Y0 =
0.54/0.82	               '#sk2'(
0.54/0.82	                 '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	              (!!((^[Y1 : $i]:
0.54/0.82	                     ((Y1 =
0.54/0.82	                       '#sk2'(
0.54/0.82	                         '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                           '#sk1'))) =>
0.54/0.82	                      (Y0 = Y1)))))))))),
0.54/0.82	    inference('sat_resolution*', [status(thm)], ['21', '22'])).
0.54/0.82	tff('24', plain,
0.54/0.82	    ~ (??((^[Y0 : $i]:
0.54/0.82	             ((Y0 =
0.54/0.82	               '#sk2'(
0.54/0.82	                 '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) &
0.54/0.82	              (!!((^[Y1 : $i]:
0.54/0.82	                     ((Y1 =
0.54/0.82	                       '#sk2'(
0.54/0.82	                         '#sk95'((^[Y2 : $i,Y3 : $i]: (Y3 = '#sk2'(Y2))), 
0.54/0.82	                           '#sk1'))) =>
0.54/0.82	                      (Y0 = Y1))))))))),
0.54/0.82	    inference('simpl_trail', [status(thm)], ['18', '23'])).
0.54/0.82	tff('25', plain,
0.54/0.82	    ![X1]:
0.54/0.82	      ~ ((X1 =
0.54/0.82	          '#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1'))) &
0.54/0.82	         (!!((^[Y0 : $i]:
0.54/0.82	                ((Y0 =
0.54/0.82	                  '#sk2'(
0.54/0.82	                    '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) =>
0.54/0.82	                 (X1 = Y0)))))),
0.54/0.82	    inference('lazy_cnf_forall', [status(thm)], ['24'])).
0.54/0.82	tff('26', plain,
0.54/0.82	    ![X1]:
0.54/0.82	      (X1 != '#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1'))
0.54/0.82	       | ~ (!!((^[Y0 : $i]:
0.54/0.82	                  ((Y0 =
0.54/0.82	                    '#sk2'(
0.54/0.82	                      '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), 
0.54/0.82	                        '#sk1'))) =>
0.54/0.82	                   (X1 = Y0)))))),
0.54/0.82	    inference('lazy_cnf_and', [status(thm)], ['25'])).
0.54/0.82	tff('27', plain,
0.54/0.82	    ~ (!!((^[Y0 : $i]:
0.54/0.82	             ((Y0 =
0.54/0.82	               '#sk2'(
0.54/0.82	                 '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1'))) =>
0.54/0.82	              ('#sk2'(
0.54/0.82	                 '#sk95'((^[Y1 : $i,Y2 : $i]: (Y2 = '#sk2'(Y1))), '#sk1')) =
0.54/0.82	               Y0))))),
0.54/0.82	    inference('simplify', [status(thm)], ['26'])).
0.54/0.82	tff('28', plain,
0.54/0.82	    ~ (('#sk302' =
0.54/0.82	        '#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1'))) =>
0.54/0.82	       ('#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1')) =
0.54/0.82	        '#sk302')),
0.54/0.82	    inference('lazy_cnf_exists', [status(thm)], ['27'])).
0.54/0.82	tff('29', plain,
0.54/0.82	    '#sk302'
0.54/0.82	     = '#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1')),
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['28'])).
0.54/0.82	tff('30', plain,
0.54/0.82	    '#sk2'('#sk95'((^[Y0 : $i,Y1 : $i]: (Y1 = '#sk2'(Y0))), '#sk1'))
0.54/0.82	     != '#sk302',
0.54/0.82	    inference('lazy_cnf_imply', [status(thm)], ['28'])).
0.54/0.82	tff('31', plain, $false,
0.54/0.82	    inference('simplify_reflect-', [status(thm)], ['29', '30'])).
0.54/0.82	
0.54/0.82	% SZS output end Refutation
0.54/0.82	
0.54/0.82	
0.54/0.82	% Terminating...
0.60/0.96	% Runner terminated.
0.60/0.96	% Zipperpin 1.5 exiting
0.60/0.97	EOF