%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET806+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:14:17 EDT 2022
% Result : Theorem 106.52s 14.83s
% Output : CNFRefutation 106.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of clauses : 101 ( 15 unt; 48 nHn; 79 RR)
% Number of literals : 281 ( 0 equ; 129 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 188 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_9) ).
cnf(i_0_63,hypothesis,
( equal_set(X1,X2)
| ~ apply(equal_set_predicate,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_63) ).
cnf(i_0_68,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_68) ).
cnf(i_0_62,hypothesis,
( apply(equal_set_predicate,X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_62) ).
cnf(i_0_8,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_8) ).
cnf(i_0_66,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_66) ).
cnf(i_0_67,plain,
( subset(X1,X2)
| member(esk13_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_67) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_10) ).
cnf(i_0_46,plain,
( pre_order(X1,X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_46) ).
cnf(i_0_47,plain,
( pre_order(X1,X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_47) ).
cnf(i_0_86,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_86) ).
cnf(i_0_45,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_45) ).
cnf(i_0_7,plain,
~ member(X1,empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_7) ).
cnf(i_0_71,plain,
( member(esk14_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_71) ).
cnf(i_0_57,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_57) ).
cnf(i_0_60,plain,
( member(X1,product(X2))
| member(esk12_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_60) ).
cnf(i_0_87,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_87) ).
cnf(i_0_81,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_81) ).
cnf(i_0_85,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_85) ).
cnf(i_0_2,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_2) ).
cnf(i_0_80,plain,
( epred1_2(X1,X2)
| apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_80) ).
cnf(i_0_69,plain,
( member(X1,sum(X2))
| ~ member(X1,X3)
| ~ member(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_69) ).
cnf(i_0_79,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_79) ).
cnf(i_0_72,negated_conjecture,
~ equivalence(equal_set_predicate,power_set(esk15_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_72) ).
cnf(i_0_11,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gyeypfef/input.p',i_0_11) ).
cnf(c_0_113,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
i_0_9 ).
cnf(c_0_114,hypothesis,
( equal_set(X1,X2)
| ~ apply(equal_set_predicate,X1,X2) ),
i_0_63 ).
cnf(c_0_115,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_68 ).
cnf(c_0_116,plain,
( subset(X1,X2)
| ~ apply(equal_set_predicate,X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_117,hypothesis,
( apply(equal_set_predicate,X1,X2)
| ~ equal_set(X1,X2) ),
i_0_62 ).
cnf(c_0_118,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_8 ).
cnf(c_0_119,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
i_0_66 ).
cnf(c_0_120,plain,
( subset(X1,X2)
| member(esk13_2(X1,X2),X1) ),
i_0_67 ).
cnf(c_0_121,plain,
( subset(X1,X2)
| ~ equal_set(X1,X2) ),
i_0_10 ).
cnf(c_0_122,plain,
( member(X1,X2)
| ~ apply(equal_set_predicate,X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,plain,
( pre_order(X1,X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_46 ).
cnf(c_0_124,plain,
( apply(equal_set_predicate,X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
subset(X1,X1),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,plain,
( subset(X1,X2)
| ~ apply(equal_set_predicate,X1,X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_114]) ).
cnf(c_0_127,plain,
( pre_order(X1,X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_47 ).
cnf(c_0_128,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk10_2(equal_set_predicate,X1))
| ~ apply(equal_set_predicate,esk8_2(equal_set_predicate,X1),esk8_2(equal_set_predicate,X1))
| ~ member(X2,esk11_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,plain,
apply(equal_set_predicate,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_125])]) ).
cnf(c_0_130,plain,
( member(X1,X2)
| ~ apply(equal_set_predicate,X3,X2)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_126]) ).
cnf(c_0_131,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk9_2(equal_set_predicate,X1))
| ~ apply(equal_set_predicate,esk8_2(equal_set_predicate,X1),esk8_2(equal_set_predicate,X1))
| ~ member(X2,esk10_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_127]) ).
cnf(c_0_132,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk10_2(equal_set_predicate,X1))
| ~ member(X2,esk11_2(equal_set_predicate,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).
cnf(c_0_133,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk11_2(equal_set_predicate,X1))
| ~ apply(equal_set_predicate,esk8_2(equal_set_predicate,X1),esk8_2(equal_set_predicate,X1))
| ~ member(X2,esk10_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_130,c_0_123]) ).
cnf(c_0_134,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk9_2(equal_set_predicate,X1))
| ~ member(X2,esk10_2(equal_set_predicate,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_129])]) ).
cnf(c_0_135,plain,
( pre_order(equal_set_predicate,X1)
| subset(esk11_2(equal_set_predicate,X1),X2)
| member(esk13_2(esk11_2(equal_set_predicate,X1),X2),esk10_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_132,c_0_120]) ).
cnf(c_0_136,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk11_2(equal_set_predicate,X1))
| ~ member(X2,esk10_2(equal_set_predicate,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_129])]) ).
cnf(c_0_137,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk10_2(equal_set_predicate,X1))
| ~ apply(equal_set_predicate,esk8_2(equal_set_predicate,X1),esk8_2(equal_set_predicate,X1))
| ~ member(X2,esk9_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_130,c_0_127]) ).
cnf(c_0_138,plain,
( pre_order(equal_set_predicate,X1)
| subset(esk11_2(equal_set_predicate,X1),X2)
| member(esk13_2(esk11_2(equal_set_predicate,X1),X2),esk9_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,plain,
( pre_order(equal_set_predicate,X1)
| subset(X2,esk11_2(equal_set_predicate,X1))
| ~ member(esk13_2(X2,esk11_2(equal_set_predicate,X1)),esk10_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_136]) ).
cnf(c_0_140,plain,
( pre_order(equal_set_predicate,X1)
| member(X2,esk10_2(equal_set_predicate,X1))
| ~ member(X2,esk9_2(equal_set_predicate,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_129])]) ).
cnf(c_0_141,plain,
( apply(equal_set_predicate,X1,X2)
| ~ apply(equal_set_predicate,X2,X1)
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_126]) ).
cnf(c_0_142,plain,
( pre_order(equal_set_predicate,X1)
| subset(esk11_2(equal_set_predicate,X1),esk9_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_138]) ).
cnf(c_0_143,plain,
( pre_order(equal_set_predicate,X1)
| subset(X2,esk11_2(equal_set_predicate,X1))
| ~ member(esk13_2(X2,esk11_2(equal_set_predicate,X1)),esk9_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,plain,
( apply(equal_set_predicate,X1,X2)
| ~ apply(equal_set_predicate,X2,X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_116]) ).
cnf(c_0_145,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)) ),
i_0_86 ).
cnf(c_0_146,plain,
( pre_order(equal_set_predicate,X1)
| apply(equal_set_predicate,esk9_2(equal_set_predicate,X1),esk11_2(equal_set_predicate,X1))
| ~ subset(esk9_2(equal_set_predicate,X1),esk11_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_142]) ).
cnf(c_0_147,plain,
( pre_order(equal_set_predicate,X1)
| subset(esk9_2(equal_set_predicate,X1),esk11_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_143,c_0_120]) ).
cnf(c_0_148,plain,
( apply(equal_set_predicate,esk21_2(X1,equal_set_predicate),esk20_2(X1,equal_set_predicate))
| apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_129])]) ).
cnf(c_0_149,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
i_0_45 ).
cnf(c_0_150,plain,
( pre_order(equal_set_predicate,X1)
| apply(equal_set_predicate,esk9_2(equal_set_predicate,X1),esk11_2(equal_set_predicate,X1)) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,plain,
~ member(X1,empty_set),
i_0_7 ).
cnf(c_0_152,plain,
( member(esk14_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
i_0_71 ).
cnf(c_0_153,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
i_0_57 ).
cnf(c_0_154,plain,
( apply(equal_set_predicate,esk20_2(X1,equal_set_predicate),esk21_2(X1,equal_set_predicate))
| apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_148]) ).
cnf(c_0_155,plain,
pre_order(equal_set_predicate,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_129])]) ).
cnf(c_0_156,plain,
~ member(X1,sum(empty_set)),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,plain,
( member(X1,product(X2))
| member(esk12_2(X1,X2),X2) ),
i_0_60 ).
cnf(c_0_158,plain,
( apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| apply(equal_set_predicate,X2,esk21_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,X2,esk20_2(X1,equal_set_predicate))
| ~ member(esk20_2(X1,equal_set_predicate),X3)
| ~ member(esk21_2(X1,equal_set_predicate),X3)
| ~ member(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155])]) ).
cnf(c_0_159,plain,
member(X1,product(sum(empty_set))),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_160,plain,
( apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| apply(equal_set_predicate,X2,esk21_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,X2,esk20_2(X1,equal_set_predicate)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_159]),c_0_159])]) ).
cnf(c_0_161,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)) ),
i_0_87 ).
cnf(c_0_162,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1)) ),
i_0_81 ).
cnf(c_0_163,plain,
( epred1_2(X1,X2)
| apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)) ),
i_0_85 ).
cnf(c_0_164,plain,
( apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| apply(equal_set_predicate,esk19_2(X1,equal_set_predicate),esk21_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_129])]) ).
cnf(c_0_165,plain,
( apply(equal_set_predicate,esk20_2(X1,equal_set_predicate),esk19_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_162]),c_0_129])]) ).
cnf(c_0_166,plain,
( apply(equal_set_predicate,esk17_2(X1,equal_set_predicate),esk18_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_129])]) ).
cnf(c_0_167,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_2 ).
cnf(c_0_168,plain,
( apply(equal_set_predicate,X1,esk19_2(X2,equal_set_predicate))
| epred1_2(equal_set_predicate,X2)
| ~ apply(equal_set_predicate,esk18_2(X2,equal_set_predicate),esk17_2(X2,equal_set_predicate))
| ~ apply(equal_set_predicate,X1,esk20_2(X2,equal_set_predicate))
| ~ member(esk20_2(X2,equal_set_predicate),X3)
| ~ member(esk19_2(X2,equal_set_predicate),X3)
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_165]),c_0_155])]) ).
cnf(c_0_169,plain,
( apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_166]) ).
cnf(c_0_170,plain,
( epred1_2(X1,X2)
| apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1)) ),
i_0_80 ).
cnf(c_0_171,plain,
( member(X1,sum(X2))
| ~ member(X1,X3)
| ~ member(X3,X2) ),
i_0_69 ).
cnf(c_0_172,plain,
( member(X1,product(difference(X2,X3)))
| ~ member(esk12_2(X1,difference(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_167,c_0_157]) ).
cnf(c_0_173,plain,
member(X1,product(empty_set)),
inference(spm,[status(thm)],[c_0_151,c_0_157]) ).
cnf(c_0_174,plain,
( apply(equal_set_predicate,X1,esk19_2(X2,equal_set_predicate))
| epred1_2(equal_set_predicate,X2)
| ~ apply(equal_set_predicate,X1,esk20_2(X2,equal_set_predicate))
| ~ member(esk20_2(X2,equal_set_predicate),X3)
| ~ member(esk19_2(X2,equal_set_predicate),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_175,plain,
( apply(equal_set_predicate,esk21_2(X1,equal_set_predicate),esk20_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_170]),c_0_129])]) ).
cnf(c_0_176,plain,
( member(X1,sum(product(sum(empty_set))))
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_171,c_0_159]) ).
cnf(c_0_177,plain,
member(X1,product(difference(X2,product(empty_set)))),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
( apply(equal_set_predicate,esk21_2(X1,equal_set_predicate),esk19_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate))
| ~ member(esk20_2(X1,equal_set_predicate),X2)
| ~ member(esk19_2(X1,equal_set_predicate),X2)
| ~ member(esk21_2(X1,equal_set_predicate),X2) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,plain,
member(X1,sum(product(sum(empty_set)))),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_180,plain,
( apply(equal_set_predicate,esk21_2(X1,equal_set_predicate),esk19_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_179]),c_0_179])]) ).
cnf(c_0_181,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))
| ~ apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)) ),
i_0_79 ).
cnf(c_0_182,plain,
( apply(equal_set_predicate,esk19_2(X1,equal_set_predicate),esk21_2(X1,equal_set_predicate))
| epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate)) ),
inference(spm,[status(thm)],[c_0_144,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
~ equivalence(equal_set_predicate,power_set(esk15_0)),
i_0_72 ).
cnf(c_0_184,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
i_0_11 ).
cnf(c_0_185,plain,
( epred1_2(equal_set_predicate,X1)
| ~ apply(equal_set_predicate,esk18_2(X1,equal_set_predicate),esk17_2(X1,equal_set_predicate)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_129])]) ).
cnf(c_0_186,negated_conjecture,
~ epred1_2(equal_set_predicate,power_set(esk15_0)),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_187,plain,
epred1_2(equal_set_predicate,X1),
inference(spm,[status(thm)],[c_0_185,c_0_169]) ).
cnf(c_0_188,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET806+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 16:33:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 106.52/14.83 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 106.52/14.83 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 106.52/14.83 # Preprocessing time : 1.209 s
% 106.52/14.83 # Presaturation interreduction done
% 106.52/14.83
% 106.52/14.83 # Proof found!
% 106.52/14.83 # SZS status Theorem
% 106.52/14.83 # SZS output start CNFRefutation
% See solution above
% 106.52/14.83 # Training examples: 0 positive, 0 negative
% 106.52/14.83
% 106.52/14.83 # -------------------------------------------------
% 106.52/14.83 # User time : 12.217 s
% 106.52/14.83 # System time : 0.236 s
% 106.52/14.83 # Total time : 12.453 s
% 106.52/14.83 # ...preprocessing : 1.209 s
% 106.52/14.83 # ...main loop : 11.244 s
% 106.52/14.83 # Maximum resident set size: 187664 pages
% 106.52/14.83
%------------------------------------------------------------------------------