TSTP Solution File: SEU364+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU364+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:41:33 EDT 2022
% Result : Theorem 8.89s 3.23s
% Output : CNFRefutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of clauses : 129 ( 23 unt; 93 nHn; 116 RR)
% Number of literals : 673 ( 126 equ; 421 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 : 270 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1507,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X3))
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1507) ).
cnf(i_0_1512,plain,
( esk245_4(X1,X2,X3,X4) = X4
| esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1512) ).
cnf(i_0_2113,negated_conjecture,
element(esk365_0,powerset(the_carrier(esk364_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2113) ).
cnf(i_0_2115,negated_conjecture,
transitive_relstr(esk364_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2115) ).
cnf(i_0_2114,negated_conjecture,
rel_str(esk364_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2114) ).
cnf(i_0_2116,negated_conjecture,
~ empty_carrier(esk364_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2116) ).
cnf(i_0_2109,negated_conjecture,
( in(esk367_1(X1),X1)
| in(esk367_1(X1),powerset(esk366_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2109) ).
cnf(i_0_2107,negated_conjecture,
( in(esk367_1(X1),X1)
| element(esk369_1(X1),the_carrier(esk364_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2107) ).
cnf(i_0_2106,negated_conjecture,
( in(esk367_1(X1),X1)
| in(esk369_1(X1),esk365_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2106) ).
cnf(i_0_2105,negated_conjecture,
( in(esk367_1(X1),X1)
| relstr_set_smaller(esk364_0,esk368_1(X1),esk369_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2105) ).
cnf(i_0_2108,negated_conjecture,
( esk367_1(X1) = esk368_1(X1)
| in(esk367_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2108) ).
cnf(i_0_2111,negated_conjecture,
element(esk366_0,powerset(esk365_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2111) ).
cnf(i_0_2112,negated_conjecture,
finite(esk366_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2112) ).
cnf(i_0_1513,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1513) ).
cnf(i_0_2110,negated_conjecture,
( X1 != esk367_1(X2)
| ~ in(X3,esk365_0)
| ~ in(esk367_1(X2),X2)
| ~ relstr_set_smaller(esk364_0,X1,X3)
| ~ element(X3,the_carrier(esk364_0))
| ~ in(esk367_1(X2),powerset(esk366_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_2110) ).
cnf(i_0_1508,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1508) ).
cnf(i_0_1511,plain,
( esk246_4(X1,X2,X3,X4) = X4
| esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1511) ).
cnf(i_0_1509,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1509) ).
cnf(i_0_1510,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1510) ).
cnf(i_0_1542,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X3))
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1542) ).
cnf(i_0_1548,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1548) ).
cnf(i_0_1547,plain,
( esk245_4(X1,X2,X3,X4) = X4
| esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1547) ).
cnf(i_0_1543,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1543) ).
cnf(i_0_1546,plain,
( esk246_4(X1,X2,X3,X4) = X4
| esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1546) ).
cnf(i_0_1544,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1544) ).
cnf(i_0_1545,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1545) ).
cnf(i_0_1472,plain,
( empty_carrier(X1)
| in(X2,esk244_3(X1,X3,X4))
| X2 != X5
| X6 != X2
| esk239_3(X1,X3,X4) != esk238_3(X1,X3,X4)
| ~ rel_str(X1)
| ~ finite(X4)
| ~ transitive_relstr(X1)
| ~ in(X7,X3)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X4))
| ~ element(X7,the_carrier(X1))
| ~ element(X4,powerset(X3))
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1472) ).
cnf(i_0_1478,plain,
( empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1478) ).
cnf(i_0_1477,plain,
( esk245_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1477) ).
cnf(i_0_1476,plain,
( esk246_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1476) ).
cnf(i_0_1475,plain,
( empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1475) ).
cnf(i_0_1474,plain,
( empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1474) ).
cnf(i_0_1473,plain,
( empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4_p2k0sc/lgb.p',i_0_1473) ).
cnf(c_0_2150,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X3))
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_1507 ).
cnf(c_0_2151,plain,
( esk245_4(X1,X2,X3,X4) = X4
| esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1512 ).
cnf(c_0_2152,negated_conjecture,
element(esk365_0,powerset(the_carrier(esk364_0))),
i_0_2113 ).
cnf(c_0_2153,negated_conjecture,
transitive_relstr(esk364_0),
i_0_2115 ).
cnf(c_0_2154,negated_conjecture,
rel_str(esk364_0),
i_0_2114 ).
cnf(c_0_2155,negated_conjecture,
~ empty_carrier(esk364_0),
i_0_2116 ).
cnf(c_0_2156,plain,
( esk237_3(X1,X2,X3) = esk239_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ finite(X3)
| ~ rel_str(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_2150])]) ).
cnf(c_0_2157,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| esk245_4(esk364_0,esk365_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2151,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2158,negated_conjecture,
( in(esk367_1(X1),X1)
| in(esk367_1(X1),powerset(esk366_0)) ),
i_0_2109 ).
cnf(c_0_2159,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| in(X2,esk244_3(esk364_0,esk365_0,X1))
| ~ finite(X1)
| ~ element(X3,the_carrier(esk364_0))
| ~ element(X1,powerset(esk365_0))
| ~ relstr_set_smaller(esk364_0,X2,X3)
| ~ in(X2,powerset(X1))
| ~ in(X3,esk365_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2156,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2160,negated_conjecture,
( in(esk367_1(X1),X1)
| element(esk369_1(X1),the_carrier(esk364_0)) ),
i_0_2107 ).
cnf(c_0_2161,negated_conjecture,
( in(esk367_1(X1),X1)
| in(esk369_1(X1),esk365_0) ),
i_0_2106 ).
cnf(c_0_2162,negated_conjecture,
( in(esk367_1(X1),X1)
| relstr_set_smaller(esk364_0,esk368_1(X1),esk369_1(X1)) ),
i_0_2105 ).
cnf(c_0_2163,negated_conjecture,
( esk367_1(X1) = esk368_1(X1)
| in(esk367_1(X1),X1) ),
i_0_2108 ).
cnf(c_0_2164,negated_conjecture,
( esk245_4(esk364_0,esk365_0,X1,esk367_1(esk244_3(esk364_0,esk365_0,X1))) = esk367_1(esk244_3(esk364_0,esk365_0,X1))
| esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| in(esk367_1(esk244_3(esk364_0,esk365_0,X1)),powerset(esk366_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0)) ),
inference(spm,[status(thm)],[c_0_2157,c_0_2158]) ).
cnf(c_0_2165,negated_conjecture,
element(esk366_0,powerset(esk365_0)),
i_0_2111 ).
cnf(c_0_2166,negated_conjecture,
finite(esk366_0),
i_0_2112 ).
cnf(c_0_2167,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| in(X2,esk244_3(esk364_0,esk365_0,X1))
| in(esk367_1(X3),X3)
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ relstr_set_smaller(esk364_0,X2,esk369_1(X3))
| ~ in(X2,powerset(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2159,c_0_2160]),c_0_2161]) ).
cnf(c_0_2168,negated_conjecture,
( relstr_set_smaller(esk364_0,esk367_1(X1),esk369_1(X1))
| in(esk367_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_2162,c_0_2163]) ).
cnf(c_0_2169,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1513 ).
cnf(c_0_2170,negated_conjecture,
( esk245_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))
| esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),powerset(esk366_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2164,c_0_2165]),c_0_2166])]) ).
cnf(c_0_2171,negated_conjecture,
( X1 != esk367_1(X2)
| ~ in(X3,esk365_0)
| ~ in(esk367_1(X2),X2)
| ~ relstr_set_smaller(esk364_0,X1,X3)
| ~ element(X3,the_carrier(esk364_0))
| ~ in(esk367_1(X2),powerset(esk366_0)) ),
i_0_2110 ).
cnf(c_0_2172,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1508 ).
cnf(c_0_2173,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| in(esk367_1(X2),esk244_3(esk364_0,esk365_0,X1))
| in(esk367_1(X2),X2)
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(esk367_1(X2),powerset(X1)) ),
inference(spm,[status(thm)],[c_0_2167,c_0_2168]) ).
cnf(c_0_2174,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),powerset(esk366_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2169,c_0_2170]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]),c_0_2158]) ).
cnf(c_0_2175,plain,
( esk246_4(X1,X2,X3,X4) = X4
| esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1511 ).
cnf(c_0_2176,negated_conjecture,
( ~ element(X1,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,esk367_1(X2),X1)
| ~ in(esk367_1(X2),powerset(esk366_0))
| ~ in(esk367_1(X2),X2)
| ~ in(X1,esk365_0) ),
inference(er,[status(thm)],[c_0_2171]) ).
cnf(c_0_2177,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| relstr_set_smaller(esk364_0,esk246_4(esk364_0,esk365_0,X1,X2),esk247_4(esk364_0,esk365_0,X1,X2))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2172,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2178,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2173,c_0_2174]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2179,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| esk246_4(esk364_0,esk365_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2175,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2180,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1509 ).
cnf(c_0_2181,plain,
( esk239_3(X1,X2,X3) = esk237_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1510 ).
cnf(c_0_2182,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| ~ element(X1,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),X1)
| ~ in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk244_3(esk364_0,esk365_0,esk366_0))
| ~ in(X1,esk365_0) ),
inference(spm,[status(thm)],[c_0_2176,c_0_2174]) ).
cnf(c_0_2183,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| relstr_set_smaller(esk364_0,esk246_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2177,c_0_2178]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2184,negated_conjecture,
( esk246_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))
| esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2179,c_0_2178]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2185,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| in(esk247_4(esk364_0,esk365_0,X1,X2),esk365_0)
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2180,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2186,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk239_3(esk364_0,esk365_0,X1)
| element(esk247_4(esk364_0,esk365_0,X1,X2),the_carrier(esk364_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2181,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2187,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| X4 != X5
| X6 != X4
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ in(X7,X2)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X3))
| ~ element(X7,the_carrier(X1))
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_1542 ).
cnf(c_0_2188,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| ~ element(X1,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),X1)
| ~ in(X1,esk365_0) ),
inference(spm,[status(thm)],[c_0_2182,c_0_2178]) ).
cnf(c_0_2189,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)))) ),
inference(spm,[status(thm)],[c_0_2183,c_0_2184]) ).
cnf(c_0_2190,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),esk365_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2185,c_0_2178]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2191,negated_conjecture,
( esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| element(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),the_carrier(esk364_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2186,c_0_2178]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2192,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(X4,esk244_3(X1,X2,X3))
| ~ transitive_relstr(X1)
| ~ finite(X3)
| ~ rel_str(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_2187])]) ).
cnf(c_0_2193,negated_conjecture,
esk237_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2188,c_0_2189]),c_0_2190]),c_0_2191]) ).
cnf(c_0_2194,plain,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(X1,esk244_3(esk364_0,esk365_0,esk366_0))
| ~ element(X2,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,X1,X2)
| ~ in(X1,powerset(esk366_0))
| ~ in(X2,esk365_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2192,c_0_2193]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2195,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(X1,esk244_3(esk364_0,esk365_0,esk366_0))
| in(esk367_1(X2),X2)
| ~ relstr_set_smaller(esk364_0,X1,esk369_1(X2))
| ~ in(X1,powerset(esk366_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2194,c_0_2160]),c_0_2161]) ).
cnf(c_0_2196,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1548 ).
cnf(c_0_2197,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(X1),esk244_3(esk364_0,esk365_0,esk366_0))
| in(esk367_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2195,c_0_2168]),c_0_2158]) ).
cnf(c_0_2198,plain,
( esk245_4(X1,X2,X3,X4) = X4
| esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1547 ).
cnf(c_0_2199,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| in(esk245_4(esk364_0,esk365_0,X1,X2),powerset(X1))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2196,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2200,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(ef,[status(thm)],[c_0_2197]) ).
cnf(c_0_2201,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| esk245_4(esk364_0,esk365_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2198,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2202,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1543 ).
cnf(c_0_2203,plain,
( esk246_4(X1,X2,X3,X4) = X4
| esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1546 ).
cnf(c_0_2204,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk245_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),powerset(esk366_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2199,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2205,negated_conjecture,
( esk245_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))
| esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2201,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2206,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| relstr_set_smaller(esk364_0,esk246_4(esk364_0,esk365_0,X1,X2),esk247_4(esk364_0,esk365_0,X1,X2))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2202,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2207,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| esk246_4(esk364_0,esk365_0,X1,X2) = X2
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2203,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2208,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1544 ).
cnf(c_0_2209,plain,
( esk237_3(X1,X2,X3) = esk238_3(X1,X2,X3)
| empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1545 ).
cnf(c_0_2210,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),powerset(esk366_0)) ),
inference(spm,[status(thm)],[c_0_2204,c_0_2205]) ).
cnf(c_0_2211,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| relstr_set_smaller(esk364_0,esk246_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2206,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2212,negated_conjecture,
( esk246_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))
| esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2207,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2213,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| in(esk247_4(esk364_0,esk365_0,X1,X2),esk365_0)
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2208,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2214,negated_conjecture,
( esk237_3(esk364_0,esk365_0,X1) = esk238_3(esk364_0,esk365_0,X1)
| element(esk247_4(esk364_0,esk365_0,X1,X2),the_carrier(esk364_0))
| ~ finite(X1)
| ~ element(X1,powerset(esk365_0))
| ~ in(X2,esk244_3(esk364_0,esk365_0,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2209,c_0_2152]),c_0_2153]),c_0_2154])]),c_0_2155]) ).
cnf(c_0_2215,plain,
( empty_carrier(X1)
| in(X2,esk244_3(X1,X3,X4))
| X2 != X5
| X6 != X2
| esk239_3(X1,X3,X4) != esk238_3(X1,X3,X4)
| ~ rel_str(X1)
| ~ finite(X4)
| ~ transitive_relstr(X1)
| ~ in(X7,X3)
| ~ relstr_set_smaller(X1,X5,X7)
| ~ in(X6,powerset(X4))
| ~ element(X7,the_carrier(X1))
| ~ element(X4,powerset(X3))
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_1472 ).
cnf(c_0_2216,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| ~ element(X1,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),X1)
| ~ in(X1,esk365_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2176,c_0_2210]),c_0_2200]) ).
cnf(c_0_2217,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)))) ),
inference(spm,[status(thm)],[c_0_2211,c_0_2212]) ).
cnf(c_0_2218,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| in(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),esk365_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2213,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2219,negated_conjecture,
( esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0)
| element(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),the_carrier(esk364_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2214,c_0_2200]),c_0_2193]),c_0_2166]),c_0_2165])]) ).
cnf(c_0_2220,plain,
( empty_carrier(X1)
| in(X2,esk244_3(X1,X3,X4))
| esk238_3(X1,X3,X4) != esk239_3(X1,X3,X4)
| ~ transitive_relstr(X1)
| ~ finite(X4)
| ~ rel_str(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_2215])]) ).
cnf(c_0_2221,negated_conjecture,
esk238_3(esk364_0,esk365_0,esk366_0) = esk239_3(esk364_0,esk365_0,esk366_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_2217]),c_0_2218]),c_0_2219]) ).
cnf(c_0_2222,plain,
( in(X1,esk244_3(esk364_0,esk365_0,esk366_0))
| ~ element(X2,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,X1,X2)
| ~ in(X1,powerset(esk366_0))
| ~ in(X2,esk365_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2220,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2223,negated_conjecture,
( in(X1,esk244_3(esk364_0,esk365_0,esk366_0))
| in(esk367_1(X2),X2)
| ~ relstr_set_smaller(esk364_0,X1,esk369_1(X2))
| ~ in(X1,powerset(esk366_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2222,c_0_2160]),c_0_2161]) ).
cnf(c_0_2224,plain,
( empty_carrier(X1)
| in(esk245_4(X1,X2,X3,X4),powerset(X3))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1478 ).
cnf(c_0_2225,negated_conjecture,
( in(esk367_1(X1),esk244_3(esk364_0,esk365_0,esk366_0))
| in(esk367_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2223,c_0_2168]),c_0_2158]) ).
cnf(c_0_2226,plain,
( esk245_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1477 ).
cnf(c_0_2227,plain,
( in(esk245_4(esk364_0,esk365_0,esk366_0,X1),powerset(esk366_0))
| ~ in(X1,esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2224,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2228,negated_conjecture,
in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk244_3(esk364_0,esk365_0,esk366_0)),
inference(ef,[status(thm)],[c_0_2225]) ).
cnf(c_0_2229,plain,
( esk245_4(esk364_0,esk365_0,esk366_0,X1) = X1
| ~ in(X1,esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2226,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2230,plain,
( esk246_4(X1,X2,X3,X4) = X4
| empty_carrier(X1)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1476 ).
cnf(c_0_2231,plain,
in(esk245_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),powerset(esk366_0)),
inference(spm,[status(thm)],[c_0_2227,c_0_2228]) ).
cnf(c_0_2232,plain,
esk245_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),
inference(spm,[status(thm)],[c_0_2229,c_0_2228]) ).
cnf(c_0_2233,plain,
( esk246_4(esk364_0,esk365_0,esk366_0,X1) = X1
| ~ in(X1,esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2230,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2234,plain,
( empty_carrier(X1)
| element(esk247_4(X1,X2,X3,X4),the_carrier(X1))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1475 ).
cnf(c_0_2235,plain,
( empty_carrier(X1)
| in(esk247_4(X1,X2,X3,X4),X2)
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1474 ).
cnf(c_0_2236,plain,
in(esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),powerset(esk366_0)),
inference(rw,[status(thm)],[c_0_2231,c_0_2232]) ).
cnf(c_0_2237,plain,
( empty_carrier(X1)
| relstr_set_smaller(X1,esk246_4(X1,X2,X3,X4),esk247_4(X1,X2,X3,X4))
| esk239_3(X1,X2,X3) != esk238_3(X1,X2,X3)
| ~ rel_str(X1)
| ~ finite(X3)
| ~ transitive_relstr(X1)
| ~ element(X3,powerset(X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,esk244_3(X1,X2,X3)) ),
i_0_1473 ).
cnf(c_0_2238,plain,
esk246_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))) = esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),
inference(spm,[status(thm)],[c_0_2233,c_0_2228]) ).
cnf(c_0_2239,plain,
( element(esk247_4(esk364_0,esk365_0,esk366_0,X1),the_carrier(esk364_0))
| ~ in(X1,esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2234,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2240,plain,
( in(esk247_4(esk364_0,esk365_0,esk366_0,X1),esk365_0)
| ~ in(X1,esk244_3(esk364_0,esk365_0,esk366_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2235,c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165])]),c_0_2155]) ).
cnf(c_0_2241,negated_conjecture,
( ~ element(X1,the_carrier(esk364_0))
| ~ relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),X1)
| ~ in(X1,esk365_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2176,c_0_2236]),c_0_2228])]) ).
cnf(c_0_2242,plain,
relstr_set_smaller(esk364_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)),esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2237,c_0_2238]),c_0_2221]),c_0_2153]),c_0_2166]),c_0_2154]),c_0_2152]),c_0_2165]),c_0_2228])]),c_0_2155]) ).
cnf(c_0_2243,plain,
element(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),the_carrier(esk364_0)),
inference(spm,[status(thm)],[c_0_2239,c_0_2228]) ).
cnf(c_0_2244,plain,
in(esk247_4(esk364_0,esk365_0,esk366_0,esk367_1(esk244_3(esk364_0,esk365_0,esk366_0))),esk365_0),
inference(spm,[status(thm)],[c_0_2240,c_0_2228]) ).
cnf(c_0_2245,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2241,c_0_2242]),c_0_2243]),c_0_2244])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU364+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 23:37:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.17/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.89/3.23 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.89/3.23 # No SInE strategy applied
% 8.89/3.23 # Trying AutoSched0 for 150 seconds
% 8.89/3.23 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S007N
% 8.89/3.23 # and selection function PSelectLargestNegLit.
% 8.89/3.23 #
% 8.89/3.23 # Preprocessing time : 0.021 s
% 8.89/3.23 # Presaturation interreduction done
% 8.89/3.23
% 8.89/3.23 # Proof found!
% 8.89/3.23 # SZS status Theorem
% 8.89/3.23 # SZS output start CNFRefutation
% See solution above
% 8.89/3.23 # Training examples: 0 positive, 0 negative
% 8.89/3.23
% 8.89/3.23 # -------------------------------------------------
% 8.89/3.23 # User time : 0.060 s
% 8.89/3.23 # System time : 0.007 s
% 8.89/3.23 # Total time : 0.067 s
% 8.89/3.23 # Maximum resident set size: 7200 pages
% 8.89/3.23
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