0.11/0.91	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/1.01	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.WrwsJSiNF1
0.14/1.38	% Computer   : n006.cluster.edu
0.14/1.38	% Model      : x86_64 x86_64
0.14/1.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/1.38	% Memory     : 8042.1875MB
0.14/1.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/1.38	% CPULimit   : 1200
0.14/1.38	% DateTime   : Tue Jul 13 14:15:57 EDT 2021
0.14/1.40	% CPUTime    : 
0.14/1.40	% Running portfolio for 120 s
0.14/1.40	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/1.41	% Number of cores: 8
0.20/1.43	% Python version: Python 3.6.8
0.20/1.44	% Running in HO mode
0.21/1.94	% Estimated wc time : 1286
0.21/1.94	% Estimated cpu time (7 cpus) : 183.71428571428572
0.89/2.13	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
1.12/2.14	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
1.27/2.24	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
1.29/2.28	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
1.35/2.33	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
1.35/2.38	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
1.35/2.39	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
48.29/12.57	% /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s
59.72/15.15	% Solved by lams/c.easy.sh.
59.72/15.15	% Running : timeout 10 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.WrwsJSiNF1/e_input79d6de --cpu-limit=8 --auto -s -p.
59.72/15.15	% done 294 iterations in 12.625s
59.72/15.15	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
59.72/15.15	% SZS output start Refutation
59.72/15.15	tff(ax67, axiom,
59.72/15.15	  (![X0]:
59.72/15.15	     (c_ordinal(X0) <=>
59.72/15.15	      c_and(c_TransSet(X0),![X1]: (c_In(X1,X0) => c_TransSet(X1)))))).
59.72/15.15	tff('0', plain,
59.72/15.15	    ![X79]:
59.72/15.15	      ( c_ordinal(X79)
59.72/15.15	       | ~ c_and(c_TransSet(X79), 
59.72/15.15	             (!!((^[Y0 : $i]: (c_In(Y0, X79) => c_TransSet(Y0))))))),
59.72/15.15	    inference('cnf', [status(esa)], [ax67])).
59.72/15.15	tff('1', plain,
59.72/15.15	    ![X78]:
59.72/15.15	      ( c_and(c_TransSet(X78), 
59.72/15.15	          (!!((^[Y0 : $i]: (c_In(Y0, X78) => c_TransSet(Y0))))))
59.72/15.15	       | ~ c_ordinal(X78)),
59.72/15.15	    inference('cnf', [status(esa)], [ax67])).
59.72/15.15	tff('2', plain,
59.72/15.15	    ![X78, X79]:
59.72/15.15	      '#l_lift7208'(X78, X79) = (c_In(X79, X78) => c_TransSet(X79)),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('3', plain,
59.72/15.15	    ![X79]:
59.72/15.15	      ( c_ordinal(X79) | ~ c_and(c_TransSet(X79), (!!('#l_lift7208'(X79))))),
59.72/15.15	    inference('lambda_lifting', [status(thm)], ['0', '2'])).
59.72/15.15	tff(ax14, axiom,
59.72/15.15	  (![X0:$o,X1:$o]: (c_and(X0,X1) <=> (![X2:$o]: ((X0 => (X1 => X2)) => X2))))).
59.72/15.15	tff('4', plain,
59.72/15.15	    ![X258 : $o, X259 : $o, X260 : $o]: ( X258 |  X259 | ~ c_and(X260, X258)),
59.72/15.15	    inference('cnf', [status(esa)], [ax14])).
59.72/15.15	tff('5', plain,
59.72/15.15	    ![X258 : $o, X259 : $o, X260 : $o]: ( X260 |  X259 | ~ c_and(X260, X258)),
59.72/15.15	    inference('cnf', [status(esa)], [ax14])).
59.72/15.15	tff(ax13, axiom, (![X0:$o]: (c_not(X0) <=> (X0 => c_False)))).
59.72/15.15	tff('6', plain, ![X332 : $o]: (~ X332 |  c_False | ~ c_not(X332)),
59.72/15.15	    inference('cnf', [status(esa)], [ax13])).
59.72/15.15	tff(ax11, axiom, (c_False <=> (![X0:$o]: X0))).
59.72/15.15	tff('7', plain, ![X300 : $o]: ( X300 | ~ c_False),
59.72/15.15	    inference('cnf', [status(esa)], [ax11])).
59.72/15.15	tff('8', plain, ~ c_False, inference('ho.refine', [status(thm)], ['7'])).
59.72/15.15	tff('9', plain, ![X332 : $o]: (~ c_not(X332) | ~ X332),
59.72/15.15	    inference('clc', [status(thm)], ['6', '8'])).
59.72/15.15	tff('10', plain, ~ c_not($true), inference('ho.refine', [status(thm)], ['9'])).
59.72/15.15	tff(ax5, axiom, (c_not(?[X0]: c_In(X0,c_Empty)))).
59.72/15.15	tff('11', plain,  c_not((??((^[Y0 : $i]: c_In(Y0, c_Empty))))),
59.72/15.15	    inference('cnf', [status(esa)], [ax5])).
59.72/15.15	tff('12', plain, (~ (??((^[Y0 : $i]: c_In(Y0, c_Empty)))) |  c_not($true)),
59.72/15.15	    inference('bool_simp', [status(thm)], ['11'])).
59.72/15.15	tff('13', plain, ~ c_not($true), inference('ho.refine', [status(thm)], ['9'])).
59.72/15.15	tff('14', plain, ~ (??((^[Y0 : $i]: c_In(Y0, c_Empty)))),
59.72/15.15	    inference('clc', [status(thm)], ['12', '13'])).
59.72/15.15	tff('15', plain, ![X0]: ~ c_In(X0, c_Empty),
59.72/15.15	    inference('cnf_otf', [status(thm)], ['14'])).
59.72/15.15	tff(conj, conjecture,
59.72/15.15	  (c_not(![X0:(($i > $o)),X1:(($i > $i))]:
59.72/15.15	           c_and((X0(X1(c_binintersect(X1(c_Power(c_Empty)),
59.72/15.15	                                       X1(c_binrep(c_Power(c_Power(c_Power(
59.72/15.15	                                                                   c_Empty))),
59.72/15.15	                                                   c_Empty))))) =>
59.72/15.15	                  (c_TransSet(X1(c_Empty)) =>
59.72/15.15	                   (![X2]:
59.72/15.15	                      (c_In(X2,c_Empty) =>
59.72/15.15	                       (?[X3]:
59.72/15.15	                          c_and(c_Subq(X3,X2),c_exactly2(c_ordsucc(X1(X3))))))))) =>
59.72/15.15	                 (?[X2]:
59.72/15.15	                    c_and(?[X3]:
59.72/15.15	                            c_and(c_Subq(X3,X2),
59.72/15.15	                                  (X2 = X1(X2)) =>
59.72/15.15	                                  (?[X4]:
59.72/15.15	                                     c_and(c_Subq(X4,X2),
59.72/15.15	                                           c_not(X0(c_setprod(X3,
59.72/15.15	                                                              c_binrep(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_binrep(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Empty)),
59.72/15.15	                                                              c_Empty)),
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Empty))))))))),
59.72/15.15	                          c_not(c_SNo(X2)))),
59.72/15.15	                 c_not(X0(X1(X1(X1(c_binrep(c_binrep(c_Power(c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                             c_Power(c_Empty)),
59.72/15.15	                                                             c_Empty)),
59.72/15.15	                                                     c_Power(c_Empty)),
59.72/15.15	                                            c_Empty)))))))))).
59.72/15.15	tff(zf_stmt_0, negated_conjecture,
59.72/15.15	  (~
59.72/15.15	    c_not(![X0:(($i > $o)),X1:(($i > $i))]:
59.72/15.15	            c_and((X0(X1(c_binintersect(X1(c_Power(c_Empty)),
59.72/15.15	                                        X1(c_binrep(c_Power(c_Power(c_Power(
59.72/15.15	                                                                    c_Empty))),
59.72/15.15	                                                    c_Empty))))) =>
59.72/15.15	                   (c_TransSet(X1(c_Empty)) =>
59.72/15.15	                    (![X2]:
59.72/15.15	                       (c_In(X2,c_Empty) =>
59.72/15.15	                        (?[X3]:
59.72/15.15	                           c_and(c_Subq(X3,X2),c_exactly2(c_ordsucc(X1(X3))))))))) =>
59.72/15.15	                  (?[X2]:
59.72/15.15	                     c_and(?[X3]:
59.72/15.15	                             c_and(c_Subq(X3,X2),
59.72/15.15	                                   (X2 = X1(X2)) =>
59.72/15.15	                                   (?[X4]:
59.72/15.15	                                      c_and(c_Subq(X4,X2),
59.72/15.15	                                            c_not(X0(c_setprod(X3,
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                               c_Empty)),
59.72/15.15	                                                               c_Empty)),
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                               c_Empty))))))))),
59.72/15.15	                           c_not(c_SNo(X2)))),
59.72/15.15	                  c_not(X0(X1(X1(X1(c_binrep(c_binrep(c_Power(c_binrep(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Power(
59.72/15.15	                                                              c_Empty)),
59.72/15.15	                                                              c_Empty)),
59.72/15.15	                                                      c_Power(c_Empty)),
59.72/15.15	                                             c_Empty)))))))))).
59.72/15.15	tff('16', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('17', plain,
59.72/15.15	    ![X4 : $i > $i, X5]:
59.72/15.15	      '#l_lift7243'(X4, X5)
59.72/15.15	       = (c_In(X5, c_Empty) => (??('#l_lift7242'(X5, X4)))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('18', plain, ![X333 : $o]: ( c_not(X333) |  X333),
59.72/15.15	    inference('cnf', [status(esa)], [ax13])).
59.72/15.15	tff('19', plain,  c_not($false),
59.72/15.15	    inference('elim_bool_vars', [status(thm)], ['18'])).
59.72/15.15	tff('20', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('21', plain,
59.72/15.15	    ![X19 : $i > $o]: '#l_lift7248'(X19) = (!!('#l_lift7247'(X19))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('22', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('23', plain,
59.72/15.15	    ![X17 : $i > $o, X18 : $i > $i]:
59.72/15.15	      '#l_lift7247'(X17, X18)
59.72/15.15	       = c_and(
59.72/15.15	           ((X17(
59.72/15.15	               X18(
59.72/15.15	                 c_binintersect(X18(c_Power(c_Empty)), 
59.72/15.15	                   X18(c_binrep(c_Power(c_Power(c_Power(c_Empty))), c_Empty))))) =>
59.72/15.15	             (c_TransSet(X18(c_Empty)) => (!!('#l_lift7243'(X18))))) =>
59.72/15.15	            (??('#l_lift7246'(X18, X17)))), 
59.72/15.15	           c_not(
59.72/15.15	             X17(
59.72/15.15	               X18(
59.72/15.15	                 X18(
59.72/15.15	                   X18(
59.72/15.15	                     c_binrep(
59.72/15.15	                       c_binrep(
59.72/15.15	                         c_Power(
59.72/15.15	                           c_binrep(c_Power(c_Power(c_Empty)), c_Empty)), 
59.72/15.15	                         c_Power(c_Empty)), c_Empty))))))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('24', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('25', plain,
59.72/15.15	    ![X19 : $i > $o]: '#l_lift7248'(X19) = (!!('#l_lift7247'(X19))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('26', plain,
59.72/15.15	    ![X17 : $i > $o, X18 : $i > $i]:
59.72/15.15	      '#l_lift7247'(X17, X18)
59.72/15.15	       = c_and(
59.72/15.15	           ((X17(
59.72/15.15	               X18(
59.72/15.15	                 c_binintersect(X18(c_Power(c_Empty)), 
59.72/15.15	                   X18(c_binrep(c_Power(c_Power(c_Power(c_Empty))), c_Empty))))) =>
59.72/15.15	             (c_TransSet(X18(c_Empty)) => (!!('#l_lift7243'(X18))))) =>
59.72/15.15	            (??('#l_lift7246'(X18, X17)))), 
59.72/15.15	           c_not(
59.72/15.15	             X17(
59.72/15.15	               X18(
59.72/15.15	                 X18(
59.72/15.15	                   X18(
59.72/15.15	                     c_binrep(
59.72/15.15	                       c_binrep(
59.72/15.15	                         c_Power(
59.72/15.15	                           c_binrep(c_Power(c_Power(c_Empty)), c_Empty)), 
59.72/15.15	                         c_Power(c_Empty)), c_Empty))))))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('27', plain,
59.72/15.15	    ![X4 : $i > $i, X5]:
59.72/15.15	      '#l_lift7243'(X4, X5)
59.72/15.15	       = (c_In(X5, c_Empty) => (??('#l_lift7242'(X5, X4)))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('28', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('29', plain,
59.72/15.15	    ![X1, X2 : $i > $i, X3]:
59.72/15.15	      '#l_lift7242'(X1, X2, X3)
59.72/15.15	       = c_and(c_Subq(X3, X1), c_exactly2(c_ordsucc(X2(X3)))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('30', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('31', plain,
59.72/15.15	    ![X14 : $i > $i, X15 : $i > $o, X16]:
59.72/15.15	      '#l_lift7246'(X14, X15, X16)
59.72/15.15	       = c_and((??('#l_lift7245'(X16, X14, X15))), c_not(c_SNo(X16))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('32', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('33', plain,
59.72/15.15	    ![X10, X11 : $i > $i, X12 : $i > $o, X13]:
59.72/15.15	      '#l_lift7245'(X10, X11, X12, X13)
59.72/15.15	       = c_and(c_Subq(X13, X10), 
59.72/15.15	           ((X10 = X11(X10)) => (??('#l_lift7244'(X10, X12, X13))))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('34', plain,
59.72/15.15	    ~ c_not(
59.72/15.15	        (!!((^[Y0 : $i > $o]:
59.72/15.15	               (!!((^[Y1 : $i > $i]:
59.72/15.15	                      c_and(
59.72/15.15	                        ((Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              c_binintersect(Y1(c_Power(c_Empty)), 
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_Power(c_Power(c_Power(c_Empty))), 
59.72/15.15	                                    c_Empty))))) =>
59.72/15.15	                          (c_TransSet(Y1(c_Empty)) =>
59.72/15.15	                           (!!((^[Y2 : $i]:
59.72/15.15	                                  (c_In(Y2, c_Empty) =>
59.72/15.15	                                   (??((^[Y3 : $i]:
59.72/15.15	                                          c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                            c_exactly2(c_ordsucc(Y1(Y3))))))))))))) =>
59.72/15.15	                         (??((^[Y2 : $i]:
59.72/15.15	                                c_and(
59.72/15.15	                                  (??((^[Y3 : $i]:
59.72/15.15	                                         c_and(c_Subq(Y3, Y2), 
59.72/15.15	                                           ((Y2 = Y1(Y2)) =>
59.72/15.15	                                            (??((^[Y4 : $i]:
59.72/15.15	                                                   c_and(c_Subq(Y4, Y2), 
59.72/15.15	                                                     c_not(
59.72/15.15	                                                       Y0(
59.72/15.15	                                                         c_setprod(Y3, 
59.72/15.15	                                                           c_binrep(
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_binrep(
59.72/15.15	                                                                 c_Power(
59.72/15.15	                                                                   c_Power(
59.72/15.15	                                                                    c_Empty)), 
59.72/15.15	                                                                 c_Empty)), 
59.72/15.15	                                                             c_Power(
59.72/15.15	                                                               c_Power(
59.72/15.15	                                                                 c_Empty))))))))))))))), 
59.72/15.15	                                  c_not(c_SNo(Y2))))))), 
59.72/15.15	                        c_not(
59.72/15.15	                          Y0(
59.72/15.15	                            Y1(
59.72/15.15	                              Y1(
59.72/15.15	                                Y1(
59.72/15.15	                                  c_binrep(
59.72/15.15	                                    c_binrep(
59.72/15.15	                                      c_Power(
59.72/15.15	                                        c_binrep(c_Power(c_Power(c_Empty)), 
59.72/15.15	                                          c_Empty)), c_Power(c_Empty)), 
59.72/15.15	                                    c_Empty)))))))))))))),
59.72/15.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
59.72/15.15	tff('35', plain,
59.72/15.15	    ![X6, X7 : $i > $o, X8, X9]:
59.72/15.15	      '#l_lift7244'(X6, X7, X8, X9)
59.72/15.15	       = c_and(c_Subq(X9, X6), 
59.72/15.15	           c_not(
59.72/15.15	             X7(
59.72/15.15	               c_setprod(X8, 
59.72/15.15	                 c_binrep(
59.72/15.15	                   c_Power(c_binrep(c_Power(c_Power(c_Empty)), c_Empty)), 
59.72/15.15	                   c_Power(c_Power(c_Empty))))))),
59.72/15.15	    define([status(thm)])).
59.72/15.15	tff('36', plain, ~ c_not((!!('#l_lift7248'))),
59.72/15.15	    inference('lambda_lifting', [status(thm)],
59.72/15.15	              ['24', '25', '26', '27', '29', '31', '33', '35'])).
59.72/15.15	tff('37', plain, $false,
59.72/15.15	    inference('eprover', [status(thm)],
59.72/15.15	              ['3', '4', '5', '10', '15', '17', '19', '21', '23', '36'])).
59.72/15.15	
59.72/15.15	% SZS output end Refutation
59.72/15.15	
59.72/15.15	
59.72/15.15	% Terminating...
60.26/15.33	% Runner terminated.
60.29/15.34	% Zipperpin 1.5 exiting
60.29/15.36	EOF