TSTP Solution File: SEU063+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU063+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:38:16 EDT 2022
% Result : Theorem 18.90s 4.09s
% Output : CNFRefutation 18.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of clauses : 89 ( 12 unt; 43 nHn; 80 RR)
% Number of literals : 293 ( 68 equ; 157 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 131 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_20) ).
cnf(i_0_25,plain,
( one_to_one(X1)
| in(esk7_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_25) ).
cnf(i_0_15,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_15) ).
cnf(i_0_64,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(X1)) = singleton(esk21_1(X1))
| one_to_one(esk19_0)
| ~ in(X1,relation_rng(esk19_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_64) ).
cnf(i_0_68,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_68) ).
cnf(i_0_67,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_67) ).
cnf(i_0_12,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_11) ).
cnf(i_0_16,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_16) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_10) ).
cnf(i_0_26,plain,
( one_to_one(X1)
| in(esk6_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_26) ).
cnf(i_0_24,plain,
( apply(X1,esk6_1(X1)) = apply(X1,esk7_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_24) ).
cnf(i_0_23,plain,
( one_to_one(X1)
| esk6_1(X1) != esk7_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_23) ).
cnf(i_0_22,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_22) ).
cnf(i_0_66,negated_conjecture,
( in(esk20_0,relation_rng(esk19_0))
| ~ one_to_one(esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_66) ).
cnf(i_0_21,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_21) ).
cnf(i_0_7,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| in(apply(X2,esk1_3(X2,X3,X1)),X3)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_7) ).
cnf(i_0_27,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_27) ).
cnf(i_0_65,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1)
| ~ one_to_one(esk19_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_65) ).
cnf(i_0_8,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| in(esk1_3(X2,X3,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_8) ).
cnf(i_0_9,plain,
( X1 = relation_inverse_image(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(esk1_3(X2,X3,X1),X1)
| ~ in(esk1_3(X2,X3,X1),relation_dom(X2))
| ~ in(apply(X2,esk1_3(X2,X3,X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v73jkdwt/lgb.p',i_0_9) ).
cnf(c_0_90,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_20 ).
cnf(c_0_91,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_90])]) ).
cnf(c_0_92,plain,
( one_to_one(X1)
| in(esk7_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_25 ).
cnf(c_0_93,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_15 ).
cnf(c_0_94,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(X1)) = singleton(esk21_1(X1))
| one_to_one(esk19_0)
| ~ in(X1,relation_rng(esk19_0)) ),
i_0_64 ).
cnf(c_0_95,plain,
( one_to_one(X1)
| in(apply(X1,esk7_1(X1)),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
relation(esk19_0),
i_0_68 ).
cnf(c_0_97,negated_conjecture,
function(esk19_0),
i_0_67 ).
cnf(c_0_98,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_99,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_93])]) ).
cnf(c_0_100,negated_conjecture,
( singleton(esk21_1(apply(esk19_0,esk7_1(esk19_0)))) = relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97])]) ).
cnf(c_0_101,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_11 ).
cnf(c_0_102,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_98]) ).
cnf(c_0_103,plain,
( one_to_one(esk19_0)
| in(esk21_1(apply(esk19_0,esk7_1(esk19_0))),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_16 ).
cnf(c_0_105,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_106,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
i_0_10 ).
cnf(c_0_107,plain,
( one_to_one(esk19_0)
| in(esk21_1(apply(esk19_0,esk7_1(esk19_0))),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_96]),c_0_97])]) ).
cnf(c_0_108,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_109,plain,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))),singleton(apply(esk19_0,esk7_1(esk19_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_96]),c_0_97])]) ).
cnf(c_0_110,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_106]) ).
cnf(c_0_111,plain,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))),relation_rng(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_107]),c_0_96]),c_0_97])]) ).
cnf(c_0_112,plain,
( apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))) = apply(esk19_0,esk7_1(esk19_0))
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,plain,
( one_to_one(X1)
| in(esk7_1(X1),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(apply(X1,esk7_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_92]) ).
cnf(c_0_114,plain,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk7_1(esk19_0)),relation_rng(esk19_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,plain,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,relation_rng(esk19_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_96]),c_0_97])]) ).
cnf(c_0_116,plain,
( one_to_one(X1)
| in(esk6_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_26 ).
cnf(c_0_117,plain,
( apply(X1,esk6_1(X1)) = apply(X1,esk7_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_24 ).
cnf(c_0_118,plain,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_115]),c_0_96]),c_0_97])]) ).
cnf(c_0_119,plain,
( one_to_one(X1)
| in(esk6_1(X1),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(apply(X1,esk6_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_116]) ).
cnf(c_0_120,plain,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk6_1(esk19_0)),relation_rng(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_117]),c_0_96]),c_0_97])]) ).
cnf(c_0_121,plain,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,X1))
| ~ in(apply(esk19_0,esk7_1(esk19_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_118]),c_0_96]),c_0_97])]) ).
cnf(c_0_122,plain,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,relation_rng(esk19_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_96]),c_0_97])]) ).
cnf(c_0_123,plain,
( X1 = esk21_1(apply(esk19_0,esk7_1(esk19_0)))
| one_to_one(esk19_0)
| ~ in(X1,relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_108,c_0_100]) ).
cnf(c_0_124,plain,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_121,c_0_99]) ).
cnf(c_0_125,plain,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_122]),c_0_96]),c_0_97])]) ).
cnf(c_0_126,plain,
( esk21_1(apply(esk19_0,esk7_1(esk19_0))) = esk7_1(esk19_0)
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,plain,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,X1))
| ~ in(apply(esk19_0,esk6_1(esk19_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_125]),c_0_96]),c_0_97])]) ).
cnf(c_0_128,plain,
( singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0)))) = relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0))))
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_117]),c_0_96]),c_0_97])]) ).
cnf(c_0_129,plain,
( esk21_1(apply(esk19_0,esk6_1(esk19_0))) = esk7_1(esk19_0)
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_117]),c_0_96]),c_0_97])]) ).
cnf(c_0_130,plain,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_127,c_0_99]) ).
cnf(c_0_131,plain,
( relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0)))) = singleton(esk7_1(esk19_0))
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,plain,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),singleton(esk7_1(esk19_0))) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_133,plain,
( one_to_one(X1)
| esk6_1(X1) != esk7_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_23 ).
cnf(c_0_134,plain,
( esk7_1(esk19_0) = esk6_1(esk19_0)
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_132]) ).
cnf(c_0_135,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_22 ).
cnf(c_0_136,negated_conjecture,
( in(esk20_0,relation_rng(esk19_0))
| ~ one_to_one(esk19_0) ),
i_0_66 ).
cnf(c_0_137,plain,
one_to_one(esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_96]),c_0_97])]) ).
cnf(c_0_138,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_21 ).
cnf(c_0_139,plain,
( in(esk3_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_135]) ).
cnf(c_0_140,negated_conjecture,
in(esk20_0,relation_rng(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_141,plain,
( apply(X1,esk3_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_138]) ).
cnf(c_0_142,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| in(apply(X2,esk1_3(X2,X3,X1)),X3)
| ~ function(X2)
| ~ relation(X2) ),
i_0_7 ).
cnf(c_0_143,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_27 ).
cnf(c_0_144,plain,
in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_96]),c_0_97])]) ).
cnf(c_0_145,plain,
apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)) = esk20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_140]),c_0_96]),c_0_97])]) ).
cnf(c_0_146,plain,
( esk1_3(X1,X2,singleton(X3)) = X3
| singleton(X3) = relation_inverse_image(X1,X2)
| in(apply(X1,esk1_3(X1,X2,singleton(X3))),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_142]) ).
cnf(c_0_147,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1)
| ~ one_to_one(esk19_0) ),
i_0_65 ).
cnf(c_0_148,plain,
( X1 = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)
| apply(esk19_0,X1) != esk20_0
| ~ in(X1,relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_96]),c_0_97]),c_0_137])]) ).
cnf(c_0_149,plain,
( apply(X1,esk1_3(X1,singleton(X2),singleton(X3))) = X2
| esk1_3(X1,singleton(X2),singleton(X3)) = X3
| singleton(X3) = relation_inverse_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_137])]) ).
cnf(c_0_151,plain,
( X1 = relation_inverse_image(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| in(esk1_3(X2,X3,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_8 ).
cnf(c_0_152,plain,
( esk1_3(esk19_0,singleton(esk20_0),singleton(X1)) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)
| esk1_3(esk19_0,singleton(esk20_0),singleton(X1)) = X1
| ~ in(esk1_3(esk19_0,singleton(esk20_0),singleton(X1)),relation_dom(esk19_0)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_96]),c_0_97])])]),c_0_150]) ).
cnf(c_0_153,plain,
( esk1_3(X1,X2,singleton(X3)) = X3
| singleton(X3) = relation_inverse_image(X1,X2)
| in(esk1_3(X1,X2,singleton(X3)),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_151]) ).
cnf(c_0_154,plain,
( esk1_3(esk19_0,singleton(esk20_0),singleton(X1)) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)
| esk1_3(esk19_0,singleton(esk20_0),singleton(X1)) = X1 ),
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_96]),c_0_97])]),c_0_150]) ).
cnf(c_0_155,plain,
( X1 = relation_inverse_image(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(esk1_3(X2,X3,X1),X1)
| ~ in(esk1_3(X2,X3,X1),relation_dom(X2))
| ~ in(apply(X2,esk1_3(X2,X3,X1)),X3) ),
i_0_9 ).
cnf(c_0_156,plain,
esk1_3(esk19_0,singleton(esk20_0),singleton(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0))) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_154])]) ).
cnf(c_0_157,plain,
$false,
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(spm,[status(thm)],[c_0_155,c_0_156]),c_0_96]),c_0_97]),c_0_145]),c_0_99]),c_0_144]),c_0_99])]),c_0_150]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU063+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.32 % Computer : n026.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sun Jun 19 16:45:42 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 18.90/4.09 # ENIGMATIC: Solved by autoschedule-lgb:
% 18.90/4.09 # No SInE strategy applied
% 18.90/4.09 # Trying AutoSched0 for 150 seconds
% 18.90/4.09 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 18.90/4.09 # and selection function SelectNewComplexAHPNS.
% 18.90/4.09 #
% 18.90/4.09 # Preprocessing time : 0.022 s
% 18.90/4.09
% 18.90/4.09 # Proof found!
% 18.90/4.09 # SZS status Theorem
% 18.90/4.09 # SZS output start CNFRefutation
% See solution above
% 18.90/4.09 # Training examples: 0 positive, 0 negative
% 18.90/4.09
% 18.90/4.09 # -------------------------------------------------
% 18.90/4.09 # User time : 1.128 s
% 18.90/4.09 # System time : 0.030 s
% 18.90/4.09 # Total time : 1.158 s
% 18.90/4.09 # Maximum resident set size: 7128 pages
% 18.90/4.09
%------------------------------------------------------------------------------