TSTP Solution File: SEU283+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU283+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:40:23 EDT 2022
% Result : Theorem 9.86s 2.66s
% Output : CNFRefutation 9.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of clauses : 91 ( 8 unt; 52 nHn; 67 RR)
% Number of literals : 272 ( 127 equ; 118 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 167 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_28) ).
cnf(i_0_38,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_38) ).
cnf(i_0_42,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_42) ).
cnf(i_0_18,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_18) ).
cnf(i_0_30,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| relation(esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_30) ).
cnf(i_0_29,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| function(esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_29) ).
cnf(i_0_20,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| relation(esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_20) ).
cnf(i_0_19,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| function(esk8_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_19) ).
cnf(i_0_26,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_26) ).
cnf(i_0_75,plain,
( X1 = X2
| in(esk18_2(X1,X2),X2)
| in(esk18_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_75) ).
cnf(i_0_16,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_16) ).
cnf(i_0_45,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_45) ).
cnf(i_0_27,plain,
( X1 = singleton(X2)
| singleton(esk5_1(X3)) = esk6_1(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk8_1(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_27) ).
cnf(i_0_76,plain,
( X1 = X2
| ~ in(esk18_2(X1,X2),X2)
| ~ in(esk18_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_76) ).
cnf(i_0_17,plain,
( X1 = singleton(X2)
| singleton(esk5_1(X3)) = esk7_1(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk8_1(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_17) ).
cnf(i_0_41,plain,
( X1 = apply(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_41) ).
cnf(i_0_11,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk8_1(X3))
| X2 != singleton(X1)
| esk7_1(X3) != esk6_1(X3)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_11) ).
cnf(i_0_15,plain,
( relation(esk8_1(X1))
| esk7_1(X1) != esk6_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_15) ).
cnf(i_0_14,plain,
( function(esk8_1(X1))
| esk7_1(X1) != esk6_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_14) ).
cnf(i_0_2,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_2) ).
cnf(i_0_13,plain,
( in(X1,X2)
| esk7_1(X2) != esk6_1(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),esk8_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_13) ).
cnf(i_0_1,negated_conjecture,
( relation_dom(X1) != esk1_0
| apply(X1,esk3_1(X1)) != singleton(esk3_1(X1))
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2o2ihw07/lgb.p',i_0_1) ).
cnf(c_0_99,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1)) ),
i_0_28 ).
cnf(c_0_100,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_38 ).
cnf(c_0_101,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
i_0_42 ).
cnf(c_0_102,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1)) ),
i_0_18 ).
cnf(c_0_103,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| in(X2,X1)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk8_1(X1)) ),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_100])]) ).
cnf(c_0_105,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| relation(esk8_1(X1)) ),
i_0_30 ).
cnf(c_0_106,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| function(esk8_1(X1)) ),
i_0_29 ).
cnf(c_0_107,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| in(X2,X1)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk8_1(X1)) ),
inference(rw,[status(thm)],[c_0_102,c_0_100]) ).
cnf(c_0_108,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| relation(esk8_1(X1)) ),
i_0_20 ).
cnf(c_0_109,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| function(esk8_1(X1)) ),
i_0_19 ).
cnf(c_0_110,plain,
( singleton(esk5_1(X1)) = esk6_1(X1)
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
i_0_26 ).
cnf(c_0_111,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| in(X2,X1)
| ~ in(X2,relation_dom(esk8_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_112,plain,
( X1 = X2
| in(esk18_2(X1,X2),X2)
| in(esk18_2(X1,X2),X1) ),
i_0_75 ).
cnf(c_0_113,plain,
( singleton(esk5_1(X1)) = esk7_1(X1)
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),esk8_1(X1))
| X3 != singleton(X2)
| ~ in(X2,X1) ),
i_0_16 ).
cnf(c_0_114,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| in(X2,X1)
| ~ in(X2,relation_dom(esk8_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_104]),c_0_108]),c_0_109]) ).
cnf(c_0_115,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_45 ).
cnf(c_0_116,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| in(unordered_pair(singleton(X2),unordered_pair(X2,singleton(X2))),esk8_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_100])]) ).
cnf(c_0_117,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X2
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X2)
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| in(unordered_pair(singleton(X2),unordered_pair(X2,singleton(X2))),esk8_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_100])]) ).
cnf(c_0_119,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X2
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X2)
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_112]) ).
cnf(c_0_120,plain,
( X1 = singleton(X2)
| singleton(esk5_1(X3)) = esk6_1(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk8_1(X3)) ),
i_0_27 ).
cnf(c_0_121,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_100])]) ).
cnf(c_0_122,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| X2 = X1
| in(unordered_pair(singleton(esk18_2(X2,X1)),unordered_pair(esk18_2(X2,X1),singleton(esk18_2(X2,X1)))),esk8_1(X1))
| in(esk18_2(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_112]) ).
cnf(c_0_123,plain,
( X1 = X2
| ~ in(esk18_2(X1,X2),X2)
| ~ in(esk18_2(X1,X2),X1) ),
i_0_76 ).
cnf(c_0_124,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1
| in(esk18_2(relation_dom(esk8_1(X1)),X1),X1) ),
inference(ef,[status(thm)],[c_0_117]) ).
cnf(c_0_125,plain,
( X1 = singleton(X2)
| singleton(esk5_1(X3)) = esk7_1(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk8_1(X3)) ),
i_0_17 ).
cnf(c_0_126,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| X2 = X1
| in(unordered_pair(singleton(esk18_2(X2,X1)),unordered_pair(esk18_2(X2,X1),singleton(esk18_2(X2,X1)))),esk8_1(X1))
| in(esk18_2(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_112]) ).
cnf(c_0_127,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1
| in(esk18_2(relation_dom(esk8_1(X1)),X1),X1) ),
inference(ef,[status(thm)],[c_0_119]) ).
cnf(c_0_128,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| X2 = singleton(X3)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X2)),esk8_1(X1)) ),
inference(rw,[status(thm)],[c_0_120,c_0_100]) ).
cnf(c_0_129,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| X2 = X1
| in(esk18_2(X2,X1),relation_dom(esk8_1(X1)))
| in(esk18_2(X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_105]) ).
cnf(c_0_130,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1
| ~ in(esk18_2(relation_dom(esk8_1(X1)),X1),relation_dom(esk8_1(X1))) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_131,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| X2 = singleton(X3)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X2)),esk8_1(X1)) ),
inference(rw,[status(thm)],[c_0_125,c_0_100]) ).
cnf(c_0_132,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| X2 = X1
| in(esk18_2(X2,X1),relation_dom(esk8_1(X1)))
| in(esk18_2(X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_126]),c_0_108]) ).
cnf(c_0_133,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1
| ~ in(esk18_2(relation_dom(esk8_1(X1)),X1),relation_dom(esk8_1(X1))) ),
inference(spm,[status(thm)],[c_0_123,c_0_127]) ).
cnf(c_0_134,plain,
( X1 = apply(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_41 ).
cnf(c_0_135,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk8_1(X3))
| X2 != singleton(X1)
| esk7_1(X3) != esk6_1(X3)
| ~ in(X1,X3) ),
i_0_11 ).
cnf(c_0_136,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk6_1(X1) = singleton(esk5_1(X1))
| ~ in(X2,relation_dom(esk8_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_137,plain,
( esk6_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_129]),c_0_130]) ).
cnf(c_0_138,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk7_1(X1) = singleton(esk5_1(X1))
| ~ in(X2,relation_dom(esk8_1(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_104]),c_0_108]),c_0_109]) ).
cnf(c_0_139,plain,
( esk7_1(X1) = singleton(esk5_1(X1))
| relation_dom(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_132]),c_0_133]) ).
cnf(c_0_140,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_100]),c_0_121]) ).
cnf(c_0_141,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,singleton(X1))),esk8_1(X2))
| esk7_1(X2) != esk6_1(X2)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_100])]) ).
cnf(c_0_142,plain,
( relation(esk8_1(X1))
| esk7_1(X1) != esk6_1(X1) ),
i_0_15 ).
cnf(c_0_143,plain,
( function(esk8_1(X1))
| esk7_1(X1) != esk6_1(X1) ),
i_0_14 ).
cnf(c_0_144,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk6_1(X1) = singleton(esk5_1(X1))
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_145,negated_conjecture,
( in(esk3_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
i_0_2 ).
cnf(c_0_146,plain,
( in(X1,X2)
| esk7_1(X2) != esk6_1(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),esk8_1(X2)) ),
i_0_13 ).
cnf(c_0_147,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk7_1(X1) = singleton(esk5_1(X1))
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
( relation_dom(X1) != esk1_0
| apply(X1,esk3_1(X1)) != singleton(esk3_1(X1))
| ~ relation(X1)
| ~ function(X1) ),
i_0_1 ).
cnf(c_0_149,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk7_1(X1) != esk6_1(X1)
| ~ in(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]) ).
cnf(c_0_150,negated_conjecture,
( apply(esk8_1(esk1_0),esk3_1(X1)) = singleton(esk3_1(X1))
| esk6_1(esk1_0) = singleton(esk5_1(esk1_0))
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,plain,
( in(X1,X2)
| esk7_1(X2) != esk6_1(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),esk8_1(X2)) ),
inference(rw,[status(thm)],[c_0_146,c_0_100]) ).
cnf(c_0_152,negated_conjecture,
( apply(esk8_1(esk1_0),esk3_1(X1)) = singleton(esk3_1(X1))
| esk7_1(esk1_0) = singleton(esk5_1(esk1_0))
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_145]) ).
cnf(c_0_153,negated_conjecture,
( relation_dom(esk8_1(X1)) != esk1_0
| esk7_1(X1) != esk6_1(X1)
| ~ in(esk3_1(esk8_1(X1)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_142]),c_0_143]) ).
cnf(c_0_154,plain,
( apply(esk8_1(esk1_0),esk3_1(esk8_1(esk1_0))) = singleton(esk3_1(esk8_1(esk1_0)))
| esk6_1(esk1_0) = singleton(esk5_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_137])]),c_0_105]),c_0_106]) ).
cnf(c_0_155,plain,
( in(X1,X2)
| esk7_1(X2) != esk6_1(X2)
| ~ in(X1,relation_dom(esk8_1(X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_104]),c_0_142]),c_0_143]) ).
cnf(c_0_156,plain,
( apply(esk8_1(esk1_0),esk3_1(esk8_1(esk1_0))) = singleton(esk3_1(esk8_1(esk1_0)))
| esk7_1(esk1_0) = singleton(esk5_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_139])]),c_0_108]),c_0_109]) ).
cnf(c_0_157,negated_conjecture,
( relation_dom(esk8_1(esk1_0)) != esk1_0
| esk7_1(esk1_0) != esk6_1(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_145]),c_0_142]),c_0_143]) ).
cnf(c_0_158,negated_conjecture,
esk6_1(esk1_0) = singleton(esk5_1(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_154]),c_0_105]),c_0_106]),c_0_137]) ).
cnf(c_0_159,plain,
( relation_dom(esk8_1(X1)) = X2
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X2)
| in(esk18_2(relation_dom(esk8_1(X1)),X2),X1)
| esk7_1(X1) != esk6_1(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_112]) ).
cnf(c_0_160,negated_conjecture,
esk7_1(esk1_0) = singleton(esk5_1(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_156]),c_0_108]),c_0_109]),c_0_139]) ).
cnf(c_0_161,negated_conjecture,
( esk7_1(esk1_0) != singleton(esk5_1(esk1_0))
| relation_dom(esk8_1(esk1_0)) != esk1_0 ),
inference(rw,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,plain,
( relation_dom(esk8_1(esk1_0)) = X1
| in(esk18_2(relation_dom(esk8_1(esk1_0)),X1),esk1_0)
| in(esk18_2(relation_dom(esk8_1(esk1_0)),X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_158])]) ).
cnf(c_0_163,negated_conjecture,
relation_dom(esk8_1(esk1_0)) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_160])]) ).
cnf(c_0_164,plain,
in(esk18_2(relation_dom(esk8_1(esk1_0)),esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_162]),c_0_163]) ).
cnf(c_0_165,plain,
~ in(esk18_2(relation_dom(esk8_1(esk1_0)),esk1_0),relation_dom(esk8_1(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_164]),c_0_163]) ).
cnf(c_0_166,plain,
( in(X1,relation_dom(esk8_1(X2)))
| esk7_1(X2) != esk6_1(X2)
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_141]),c_0_142]) ).
cnf(c_0_167,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_160]),c_0_158]),c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU283+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 20:31:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.86/2.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.86/2.66 # No SInE strategy applied
% 9.86/2.66 # Trying AutoSched0 for 150 seconds
% 9.86/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.86/2.66 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.86/2.66 #
% 9.86/2.66 # Preprocessing time : 0.025 s
% 9.86/2.66 # Presaturation interreduction done
% 9.86/2.66
% 9.86/2.66 # Proof found!
% 9.86/2.66 # SZS status Theorem
% 9.86/2.66 # SZS output start CNFRefutation
% See solution above
% 9.86/2.66 # Training examples: 0 positive, 0 negative
% 9.86/2.66
% 9.86/2.66 # -------------------------------------------------
% 9.86/2.66 # User time : 0.204 s
% 9.86/2.66 # System time : 0.014 s
% 9.86/2.66 # Total time : 0.218 s
% 9.86/2.66 # Maximum resident set size: 7124 pages
% 9.86/2.66
%------------------------------------------------------------------------------