TSTP Solution File: SEU364+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:41:32 EDT 2022
% Result : Theorem 9.51s 2.54s
% Output : CNFRefutation 9.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of clauses : 138 ( 21 unt; 99 nHn; 125 RR)
% Number of literals : 741 ( 144 equ; 475 neg)
% Maximal clause size : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 292 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_76,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ in(X6,powerset(X3))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_76) ).
cnf(i_0_9,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
rel_str(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
transitive_relstr(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
~ empty_carrier(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_12) ).
cnf(i_0_111,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ in(X6,powerset(X3))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_111) ).
cnf(i_0_3,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
( in(esk4_1(X1),X1)
| relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_1) ).
cnf(i_0_4,negated_conjecture,
( esk4_1(X1) = esk5_1(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_5) ).
cnf(i_0_8,negated_conjecture,
finite(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_8) ).
cnf(i_0_7,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_7) ).
cnf(i_0_81,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_81) ).
cnf(i_0_82,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_82) ).
cnf(i_0_77,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_77) ).
cnf(i_0_80,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_80) ).
cnf(i_0_47,plain,
( empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_47) ).
cnf(i_0_46,plain,
( esk24_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_46) ).
cnf(i_0_41,plain,
( empty_carrier(X1)
| in(X2,esk23_3(X1,X3,X4))
| X2 != X5
| X6 != X2
| esk18_3(X1,X3,X4) != esk17_3(X1,X3,X4)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X4)
| ~ in(X7,X3)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X4,powerset(X3))
| ~ in(X6,powerset(X4))
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_41) ).
cnf(i_0_117,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_117) ).
cnf(i_0_116,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_116) ).
cnf(i_0_6,negated_conjecture,
( X1 != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ in(esk4_1(X2),X2)
| ~ relstr_set_smaller(esk1_0,X1,X3)
| ~ element(X3,the_carrier(esk1_0))
| ~ in(esk4_1(X2),powerset(esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_6) ).
cnf(i_0_78,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_79) ).
cnf(i_0_42,plain,
( empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_42) ).
cnf(i_0_45,plain,
( esk25_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_45) ).
cnf(i_0_115,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_115) ).
cnf(i_0_43,plain,
( empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
( empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_44) ).
cnf(i_0_114,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_114) ).
cnf(i_0_113,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_113) ).
cnf(i_0_112,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h_ip6ll/lgb.p',i_0_112) ).
cnf(c_0_151,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ in(X6,powerset(X3))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_76 ).
cnf(c_0_152,plain,
( esk16_3(X1,X2,X3) = esk18_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| ~ finite(X3)
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_151])]) ).
cnf(c_0_153,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
i_0_9 ).
cnf(c_0_154,negated_conjecture,
rel_str(esk1_0),
i_0_10 ).
cnf(c_0_155,negated_conjecture,
transitive_relstr(esk1_0),
i_0_11 ).
cnf(c_0_156,negated_conjecture,
~ empty_carrier(esk1_0),
i_0_12 ).
cnf(c_0_157,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ in(X6,powerset(X3))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_111 ).
cnf(c_0_158,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(X2,esk23_3(esk1_0,esk2_0,X1))
| ~ finite(X1)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X1,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X2,X3)
| ~ in(X2,powerset(X1))
| ~ in(X3,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_159,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk1_0)) ),
i_0_3 ).
cnf(c_0_160,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk6_1(X1),esk2_0) ),
i_0_2 ).
cnf(c_0_161,negated_conjecture,
( in(esk4_1(X1),X1)
| relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1)) ),
i_0_1 ).
cnf(c_0_162,negated_conjecture,
( esk4_1(X1) = esk5_1(X1)
| in(esk4_1(X1),X1) ),
i_0_4 ).
cnf(c_0_163,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk23_3(X1,X2,X3))
| ~ finite(X3)
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ relstr_set_smaller(X1,X4,X5)
| ~ in(X4,powerset(X3))
| ~ in(X5,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_157])]) ).
cnf(c_0_164,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(X2,esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X2,esk6_1(X3))
| ~ in(X2,powerset(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( relstr_set_smaller(esk1_0,esk4_1(X1),esk6_1(X1))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(X2,esk23_3(esk1_0,esk2_0,X1))
| ~ finite(X1)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X1,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X2,X3)
| ~ in(X2,powerset(X1))
| ~ in(X3,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_167,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(esk4_1(X2),powerset(X1)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(esk3_0)) ),
i_0_5 ).
cnf(c_0_169,negated_conjecture,
finite(esk3_0),
i_0_8 ).
cnf(c_0_170,negated_conjecture,
element(esk3_0,powerset(esk2_0)),
i_0_7 ).
cnf(c_0_171,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_81 ).
cnf(c_0_172,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(X2,esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X2,esk6_1(X3))
| ~ in(X2,powerset(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_159]),c_0_160]) ).
cnf(c_0_173,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_82 ).
cnf(c_0_174,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_170])]) ).
cnf(c_0_175,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| esk24_4(esk1_0,esk2_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_176,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk23_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(esk4_1(X2),powerset(X1)) ),
inference(spm,[status(thm)],[c_0_172,c_0_165]) ).
cnf(c_0_177,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk24_4(esk1_0,esk2_0,X1,X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_178,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_174]) ).
cnf(c_0_179,negated_conjecture,
( esk24_4(esk1_0,esk2_0,X1,esk4_1(esk23_3(esk1_0,esk2_0,X1))) = esk4_1(esk23_3(esk1_0,esk2_0,X1))
| esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk23_3(esk1_0,esk2_0,X1)),powerset(esk3_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(spm,[status(thm)],[c_0_175,c_0_168]) ).
cnf(c_0_180,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_77 ).
cnf(c_0_181,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_80 ).
cnf(c_0_182,plain,
( empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_47 ).
cnf(c_0_183,plain,
( esk24_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_46 ).
cnf(c_0_184,plain,
( empty_carrier(X1)
| in(X2,esk23_3(X1,X3,X4))
| X2 != X5
| X6 != X2
| esk18_3(X1,X3,X4) != esk17_3(X1,X3,X4)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X4)
| ~ in(X7,X3)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ element(X7,the_carrier(X1))
| ~ element(X4,powerset(X3))
| ~ in(X6,powerset(X4))
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_41 ).
cnf(c_0_185,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk24_4(X1,X2,X3,X4),powerset(X3))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_117 ).
cnf(c_0_186,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk23_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_168]),c_0_169]),c_0_170])]) ).
cnf(c_0_187,plain,
( esk24_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_116 ).
cnf(c_0_188,negated_conjecture,
( X1 != esk4_1(X2)
| ~ in(X3,esk2_0)
| ~ in(esk4_1(X2),X2)
| ~ relstr_set_smaller(esk1_0,X1,X3)
| ~ element(X3,the_carrier(esk1_0))
| ~ in(esk4_1(X2),powerset(esk3_0)) ),
i_0_6 ).
cnf(c_0_189,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),powerset(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_169]),c_0_170])]) ).
cnf(c_0_190,negated_conjecture,
( esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_170]),c_0_169])]) ).
cnf(c_0_191,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| relstr_set_smaller(esk1_0,esk25_4(esk1_0,esk2_0,X1,X2),esk26_4(esk1_0,esk2_0,X1,X2))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_192,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| esk25_4(esk1_0,esk2_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_193,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_78 ).
cnf(c_0_194,plain,
( esk18_3(X1,X2,X3) = esk16_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_79 ).
cnf(c_0_195,negated_conjecture,
( in(esk24_4(esk1_0,esk2_0,X1,X2),powerset(X1))
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_196,negated_conjecture,
( esk24_4(esk1_0,esk2_0,X1,X2) = X2
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_197,plain,
( empty_carrier(X1)
| in(X2,esk23_3(X1,X3,X4))
| esk17_3(X1,X3,X4) != esk18_3(X1,X3,X4)
| ~ finite(X4)
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ element(X4,powerset(X3))
| ~ relstr_set_smaller(X1,X2,X5)
| ~ in(X2,powerset(X4))
| ~ in(X5,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_184])]) ).
cnf(c_0_198,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(esk24_4(esk1_0,esk2_0,X1,X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_199,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_186]) ).
cnf(c_0_200,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| esk24_4(esk1_0,esk2_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_201,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk4_1(X2),X1)
| ~ in(esk4_1(X2),powerset(esk3_0))
| ~ in(esk4_1(X2),X2)
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[c_0_188]) ).
cnf(c_0_202,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_203,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_178]),c_0_169]),c_0_170])]) ).
cnf(c_0_204,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_178]),c_0_169]),c_0_170])]) ).
cnf(c_0_205,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| in(esk26_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_206,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk18_3(esk1_0,esk2_0,X1)
| element(esk26_4(esk1_0,esk2_0,X1,X2),the_carrier(esk1_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_207,negated_conjecture,
( in(X1,powerset(X2))
| esk17_3(esk1_0,esk2_0,X2) != esk18_3(esk1_0,esk2_0,X2)
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0))
| ~ in(X1,esk23_3(esk1_0,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_208,negated_conjecture,
( in(X1,esk23_3(esk1_0,esk2_0,X2))
| esk17_3(esk1_0,esk2_0,X2) != esk18_3(esk1_0,esk2_0,X2)
| ~ finite(X2)
| ~ element(X3,the_carrier(esk1_0))
| ~ element(X2,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X1,X3)
| ~ in(X1,powerset(X2))
| ~ in(X3,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_209,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),powerset(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_169]),c_0_170])]) ).
cnf(c_0_210,negated_conjecture,
( esk24_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_199]),c_0_169]),c_0_170])]) ).
cnf(c_0_211,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_178]) ).
cnf(c_0_212,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_213,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_178]),c_0_169]),c_0_170])]) ).
cnf(c_0_214,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_178]),c_0_169]),c_0_170])]) ).
cnf(c_0_215,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,X1)),powerset(esk3_0))
| in(esk4_1(esk23_3(esk1_0,esk2_0,X1)),powerset(X1))
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0)) ),
inference(spm,[status(thm)],[c_0_207,c_0_168]) ).
cnf(c_0_216,negated_conjecture,
( in(X1,esk23_3(esk1_0,esk2_0,X2))
| in(esk4_1(X3),X3)
| esk17_3(esk1_0,esk2_0,X2) != esk18_3(esk1_0,esk2_0,X2)
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0))
| ~ relstr_set_smaller(esk1_0,X1,esk6_1(X3))
| ~ in(X1,powerset(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_159]),c_0_160]) ).
cnf(c_0_217,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_218,negated_conjecture,
esk16_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_219,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0))
| esk17_3(esk1_0,esk2_0,esk3_0) != esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_170]),c_0_169])]) ).
cnf(c_0_220,negated_conjecture,
( in(esk4_1(X1),esk23_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk17_3(esk1_0,esk2_0,X2) != esk18_3(esk1_0,esk2_0,X2)
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0))
| ~ in(esk4_1(X1),powerset(X2)) ),
inference(spm,[status(thm)],[c_0_216,c_0_165]) ).
cnf(c_0_221,negated_conjecture,
in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),powerset(esk3_0)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_219]) ).
cnf(c_0_222,negated_conjecture,
( in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0))
| esk17_3(esk1_0,esk2_0,esk3_0) != esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_219]),c_0_169]),c_0_170])]) ).
cnf(c_0_223,plain,
( empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_42 ).
cnf(c_0_224,plain,
( esk25_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_45 ).
cnf(c_0_225,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_115 ).
cnf(c_0_226,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_221]) ).
cnf(c_0_227,negated_conjecture,
in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_218]),c_0_222]) ).
cnf(c_0_228,negated_conjecture,
( relstr_set_smaller(esk1_0,esk25_4(esk1_0,esk2_0,X1,X2),esk26_4(esk1_0,esk2_0,X1,X2))
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_229,negated_conjecture,
( esk25_4(esk1_0,esk2_0,X1,X2) = X2
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_230,plain,
( empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_43 ).
cnf(c_0_231,plain,
( empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| esk18_3(X1,X2,X3) != esk17_3(X1,X2,X3)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_44 ).
cnf(c_0_232,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| esk25_4(esk1_0,esk2_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_233,negated_conjecture,
( ~ element(X1,the_carrier(esk1_0))
| ~ relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),X1)
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
cnf(c_0_234,negated_conjecture,
( relstr_set_smaller(esk1_0,X1,esk26_4(esk1_0,esk2_0,X2,X1))
| esk17_3(esk1_0,esk2_0,X2) != esk18_3(esk1_0,esk2_0,X2)
| ~ finite(X2)
| ~ element(X2,powerset(esk2_0))
| ~ in(X1,esk23_3(esk1_0,esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_235,negated_conjecture,
( in(esk26_4(esk1_0,esk2_0,X1,X2),esk2_0)
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_236,negated_conjecture,
( element(esk26_4(esk1_0,esk2_0,X1,X2),the_carrier(esk1_0))
| esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_237,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk26_4(X1,X2,X3,X4),the_carrier(X1))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_114 ).
cnf(c_0_238,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk26_4(X1,X2,X3,X4),X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_113 ).
cnf(c_0_239,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_199]),c_0_169]),c_0_170])]) ).
cnf(c_0_240,negated_conjecture,
( esk17_3(esk1_0,esk2_0,X1) != esk18_3(esk1_0,esk2_0,X1)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk23_3(esk1_0,esk2_0,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236]) ).
cnf(c_0_241,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| element(esk26_4(esk1_0,esk2_0,X1,X2),the_carrier(esk1_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_242,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| in(esk26_4(esk1_0,esk2_0,X1,X2),esk2_0)
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_243,plain,
( esk16_3(X1,X2,X3) = esk17_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk23_3(X1,X2,X3)) ),
i_0_112 ).
cnf(c_0_244,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))
| esk17_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_239,c_0_218]) ).
cnf(c_0_245,negated_conjecture,
esk17_3(esk1_0,esk2_0,esk3_0) != esk18_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_227]),c_0_169]),c_0_170])]) ).
cnf(c_0_246,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_199]),c_0_169]),c_0_170])]) ).
cnf(c_0_247,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_0) = esk17_3(esk1_0,esk2_0,esk3_0)
| in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_199]),c_0_169]),c_0_170])]) ).
cnf(c_0_248,negated_conjecture,
( esk16_3(esk1_0,esk2_0,X1) = esk17_3(esk1_0,esk2_0,X1)
| relstr_set_smaller(esk1_0,esk25_4(esk1_0,esk2_0,X1,X2),esk26_4(esk1_0,esk2_0,X1,X2))
| ~ finite(X1)
| ~ element(X1,powerset(esk2_0))
| ~ in(X2,esk23_3(esk1_0,esk2_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_153]),c_0_154]),c_0_155])]),c_0_156]) ).
cnf(c_0_249,negated_conjecture,
esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_250,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)) ),
inference(rw,[status(thm)],[c_0_246,c_0_218]) ).
cnf(c_0_251,negated_conjecture,
( esk17_3(esk1_0,esk2_0,esk3_0) = esk18_3(esk1_0,esk2_0,esk3_0)
| in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(rw,[status(thm)],[c_0_247,c_0_218]) ).
cnf(c_0_252,negated_conjecture,
relstr_set_smaller(esk1_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)),esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0)))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_227]),c_0_218]),c_0_169]),c_0_170])]),c_0_249]),c_0_245]) ).
cnf(c_0_253,negated_conjecture,
element(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),the_carrier(esk1_0)),
inference(sr,[status(thm)],[c_0_250,c_0_245]) ).
cnf(c_0_254,negated_conjecture,
in(esk26_4(esk1_0,esk2_0,esk3_0,esk4_1(esk23_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(sr,[status(thm)],[c_0_251,c_0_245]) ).
cnf(c_0_255,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_252]),c_0_253]),c_0_254])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 03:22:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 9.51/2.54 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.51/2.54 # No SInE strategy applied
% 9.51/2.54 # Trying AutoSched0 for 150 seconds
% 9.51/2.54 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.51/2.54 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.51/2.54 #
% 9.51/2.54 # Preprocessing time : 0.025 s
% 9.51/2.54 # Presaturation interreduction done
% 9.51/2.54
% 9.51/2.54 # Proof found!
% 9.51/2.54 # SZS status Theorem
% 9.51/2.54 # SZS output start CNFRefutation
% See solution above
% 9.51/2.54 # Training examples: 0 positive, 0 negative
% 9.51/2.54
% 9.51/2.54 # -------------------------------------------------
% 9.51/2.54 # User time : 0.096 s
% 9.51/2.54 # System time : 0.011 s
% 9.51/2.54 # Total time : 0.107 s
% 9.51/2.54 # Maximum resident set size: 7124 pages
% 9.51/2.54
%------------------------------------------------------------------------------