%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET744+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 00:13:49 EDT 2022
% Result : Theorem 253.98s 33.38s
% Output : CNFRefutation 253.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of clauses : 96 ( 20 unt; 36 nHn; 70 RR)
% Number of literals : 258 ( 19 equ; 129 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-7 aty)
% Number of variables : 245 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_110,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_110) ).
cnf(i_0_131,negated_conjecture,
one_to_one(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_131) ).
cnf(i_0_127,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_127) ).
cnf(i_0_126,plain,
( surjective(X1,X2,X3)
| member(esk40_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_126) ).
cnf(i_0_128,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_128) ).
cnf(i_0_2,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_2) ).
cnf(i_0_125,plain,
( surjective(X1,X2,X3)
| ~ member(X4,X2)
| ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_125) ).
cnf(i_0_4,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_4) ).
cnf(i_0_130,negated_conjecture,
one_to_one(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_130) ).
cnf(i_0_62,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_62) ).
cnf(i_0_61,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_61) ).
cnf(i_0_1,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_1) ).
cnf(i_0_59,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_59) ).
cnf(i_0_111,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_111) ).
cnf(i_0_58,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_58) ).
cnf(i_0_63,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_63) ).
cnf(i_0_60,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_60) ).
cnf(i_0_109,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_109) ).
cnf(i_0_129,negated_conjecture,
~ one_to_one(esk43_0,esk46_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_129) ).
cnf(i_0_106,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_106) ).
cnf(i_0_133,negated_conjecture,
maps(esk42_0,esk45_0,esk46_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_133) ).
cnf(i_0_57,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptjlfnmp/input.p',i_0_57) ).
cnf(c_0_156,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_110 ).
cnf(c_0_157,negated_conjecture,
one_to_one(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0),
i_0_131 ).
cnf(c_0_158,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_159,plain,
surjective(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_160,plain,
( apply(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,X1),X1)
| ~ member(X1,esk46_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_161,plain,
( surjective(X1,X2,X3)
| member(esk40_3(X1,X2,X3),X3) ),
i_0_126 ).
cnf(c_0_162,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_128 ).
cnf(c_0_163,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_2 ).
cnf(c_0_164,plain,
( surjective(X1,X2,esk46_0)
| apply(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,esk40_3(X1,X2,esk46_0)),esk40_3(X1,X2,esk46_0)) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,plain,
( member(esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,X1),esk44_0)
| ~ member(X1,esk46_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_159]) ).
cnf(c_0_166,plain,
( surjective(X1,X2,X3)
| ~ member(X4,X2)
| ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
i_0_125 ).
cnf(c_0_167,plain,
( surjective(X1,X2,esk46_0)
| apply(esk42_0,esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0,esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,esk40_3(X1,X2,esk46_0)),esk40_3(X1,X2,esk46_0)),esk40_3(X1,X2,esk46_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]),c_0_161]) ).
cnf(c_0_168,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_4 ).
cnf(c_0_169,plain,
( surjective(esk42_0,X1,esk46_0)
| ~ member(esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0,esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,esk40_3(esk42_0,X1,esk46_0)),esk40_3(esk42_0,X1,esk46_0)),X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,plain,
( surjective(X1,X2,esk46_0)
| member(esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0,esk39_4(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0,esk40_3(X1,X2,esk46_0)),esk40_3(X1,X2,esk46_0)),esk45_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_164]),c_0_165]),c_0_161]) ).
cnf(c_0_171,plain,
surjective(esk42_0,esk45_0,esk46_0),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_172,negated_conjecture,
one_to_one(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0),
i_0_130 ).
cnf(c_0_173,plain,
( apply(esk42_0,esk39_4(esk42_0,esk45_0,esk46_0,X1),X1)
| ~ member(X1,esk46_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_171]) ).
cnf(c_0_174,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
i_0_62 ).
cnf(c_0_175,plain,
surjective(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0),
inference(spm,[status(thm)],[c_0_156,c_0_172]) ).
cnf(c_0_176,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
i_0_61 ).
cnf(c_0_177,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
i_0_1 ).
cnf(c_0_178,plain,
( injective(X1,esk46_0,X2)
| apply(esk42_0,esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),esk20_3(X1,esk46_0,X2)) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_179,plain,
( member(esk39_4(esk42_0,esk45_0,esk46_0,X1),esk45_0)
| ~ member(X1,esk46_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_171]) ).
cnf(c_0_180,plain,
( apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,X1),X1)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_175]) ).
cnf(c_0_181,plain,
( injective(X1,esk46_0,X2)
| apply(esk42_0,esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),esk21_3(X1,esk46_0,X2)) ),
inference(spm,[status(thm)],[c_0_173,c_0_176]) ).
cnf(c_0_182,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X3,esk42_0,X4,X5,X6),esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),X7)
| ~ apply(X3,esk20_3(X1,esk46_0,X2),X7)
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),X4)
| ~ member(esk20_3(X1,esk46_0,X2),X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_183,plain,
( injective(X1,esk46_0,X2)
| member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),esk45_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_174]) ).
cnf(c_0_184,plain,
( surjective(X1,X2,esk44_0)
| apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk40_3(X1,X2,esk44_0)),esk40_3(X1,X2,esk44_0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_161]) ).
cnf(c_0_185,plain,
( member(esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,X1),esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_175]) ).
cnf(c_0_186,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X3,esk42_0,X4,X5,X6),esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),X7)
| ~ apply(X3,esk21_3(X1,esk46_0,X2),X7)
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),X4)
| ~ member(esk21_3(X1,esk46_0,X2),X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[c_0_177,c_0_181]) ).
cnf(c_0_187,plain,
( injective(X1,esk46_0,X2)
| member(esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),esk45_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_176]) ).
cnf(c_0_188,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X3,esk42_0,esk45_0,X4,X5),esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),X6)
| ~ apply(X3,esk20_3(X1,esk46_0,X2),X6)
| ~ member(esk20_3(X1,esk46_0,X2),X4)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_189,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_59 ).
cnf(c_0_190,plain,
( surjective(X1,X2,esk44_0)
| apply(esk43_0,esk1_7(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0,esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk40_3(X1,X2,esk44_0)),esk40_3(X1,X2,esk44_0)),esk40_3(X1,X2,esk44_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_184]),c_0_185]),c_0_161]) ).
cnf(c_0_191,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_111 ).
cnf(c_0_192,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X3,esk42_0,esk45_0,X4,X5),esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),X6)
| ~ apply(X3,esk21_3(X1,esk46_0,X2),X6)
| ~ member(esk21_3(X1,esk46_0,X2),X4)
| ~ member(X6,X5) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_193,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_58 ).
cnf(c_0_194,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,X3,X4),esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2))
| ~ member(esk20_3(X1,esk46_0,X2),X3)
| ~ member(esk22_3(X1,esk46_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,plain,
( surjective(esk43_0,X1,esk44_0)
| ~ member(esk1_7(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0,esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk40_3(esk43_0,X1,esk44_0)),esk40_3(esk43_0,X1,esk44_0)),X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_190]) ).
cnf(c_0_196,plain,
( surjective(X1,X2,esk44_0)
| member(esk1_7(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0,esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk40_3(X1,X2,esk44_0)),esk40_3(X1,X2,esk44_0)),esk46_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_184]),c_0_185]),c_0_161]) ).
cnf(c_0_197,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
i_0_63 ).
cnf(c_0_198,plain,
injective(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0),
inference(spm,[status(thm)],[c_0_191,c_0_172]) ).
cnf(c_0_199,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
i_0_60 ).
cnf(c_0_200,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,X3,X4),esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2))
| ~ member(esk21_3(X1,esk46_0,X2),X3)
| ~ member(esk22_3(X1,esk46_0,X2),X4) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_201,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,esk46_0,X3),esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2))
| ~ member(esk22_3(X1,esk46_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_194,c_0_174]) ).
cnf(c_0_202,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
i_0_109 ).
cnf(c_0_203,plain,
surjective(esk43_0,esk46_0,esk44_0),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_204,negated_conjecture,
~ one_to_one(esk43_0,esk46_0,esk44_0),
i_0_129 ).
cnf(c_0_205,plain,
( X1 = X2
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X2,X3)
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X1,X3)
| ~ member(X3,esk44_0)
| ~ member(X2,esk45_0)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_206,plain,
( injective(X1,X2,esk44_0)
| apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk22_3(X1,X2,esk44_0)),esk22_3(X1,X2,esk44_0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_199]) ).
cnf(c_0_207,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,esk46_0,X3),esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2))
| ~ member(esk22_3(X1,esk46_0,X2),X3) ),
inference(spm,[status(thm)],[c_0_200,c_0_176]) ).
cnf(c_0_208,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,esk46_0,X2),esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2)) ),
inference(spm,[status(thm)],[c_0_201,c_0_199]) ).
cnf(c_0_209,plain,
~ injective(esk43_0,esk46_0,esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_210,plain,
( X1 = esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk22_3(X2,X3,esk44_0))
| injective(X2,X3,esk44_0)
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X1,esk22_3(X2,X3,esk44_0))
| ~ member(X1,esk45_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_185]),c_0_199]) ).
cnf(c_0_211,plain,
( injective(X1,esk46_0,X2)
| apply(compose_function(X1,esk42_0,esk45_0,esk46_0,X2),esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(X1,esk46_0,X2)),esk22_3(X1,esk46_0,X2)) ),
inference(spm,[status(thm)],[c_0_207,c_0_199]) ).
cnf(c_0_212,plain,
( X1 = esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0))
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X1,esk22_3(esk43_0,esk46_0,esk44_0))
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0)),esk45_0)
| ~ member(esk22_3(esk43_0,esk46_0,esk44_0),esk44_0)
| ~ member(X1,esk45_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_208]),c_0_209]) ).
cnf(c_0_213,plain,
( esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk22_3(esk43_0,esk46_0,esk44_0)) = esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(esk43_0,esk46_0,esk44_0))
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(esk43_0,esk46_0,esk44_0)),esk45_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_209]) ).
cnf(c_0_214,plain,
( X1 = esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0))
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X1,esk22_3(esk43_0,esk46_0,esk44_0))
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0)),esk45_0)
| ~ member(X1,esk45_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_199]),c_0_209]) ).
cnf(c_0_215,plain,
( injective(X1,X2,esk44_0)
| member(esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk22_3(X1,X2,esk44_0)),esk45_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_199]) ).
cnf(c_0_216,plain,
esk39_4(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),esk45_0,esk44_0,esk22_3(esk43_0,esk46_0,esk44_0)) = esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(esk43_0,esk46_0,esk44_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_187]),c_0_209]) ).
cnf(c_0_217,plain,
( X1 = esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0))
| ~ apply(compose_function(esk43_0,esk42_0,esk45_0,esk46_0,esk44_0),X1,esk22_3(esk43_0,esk46_0,esk44_0))
| ~ member(X1,esk45_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_183]),c_0_209]) ).
cnf(c_0_218,plain,
member(esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(esk43_0,esk46_0,esk44_0)),esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_209]) ).
cnf(c_0_219,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
i_0_106 ).
cnf(c_0_220,plain,
esk39_4(esk42_0,esk45_0,esk46_0,esk21_3(esk43_0,esk46_0,esk44_0)) = esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_211]),c_0_218])]),c_0_209]) ).
cnf(c_0_221,plain,
( X1 = esk20_3(X2,esk46_0,X3)
| injective(X2,esk46_0,X3)
| ~ apply(esk42_0,esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X2,esk46_0,X3)),X1)
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(X2,esk46_0,X3)),X4)
| ~ member(esk20_3(X2,esk46_0,X3),X5)
| ~ member(X1,X5)
| ~ maps(esk42_0,X4,X5) ),
inference(spm,[status(thm)],[c_0_219,c_0_178]) ).
cnf(c_0_222,plain,
apply(esk42_0,esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0)),esk21_3(esk43_0,esk46_0,esk44_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_220]),c_0_209]) ).
cnf(c_0_223,plain,
( esk21_3(esk43_0,esk46_0,esk44_0) = esk20_3(esk43_0,esk46_0,esk44_0)
| ~ member(esk39_4(esk42_0,esk45_0,esk46_0,esk20_3(esk43_0,esk46_0,esk44_0)),X1)
| ~ member(esk20_3(esk43_0,esk46_0,esk44_0),X2)
| ~ member(esk21_3(esk43_0,esk46_0,esk44_0),X2)
| ~ maps(esk42_0,X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_209]) ).
cnf(c_0_224,plain,
( esk21_3(esk43_0,esk46_0,esk44_0) = esk20_3(esk43_0,esk46_0,esk44_0)
| ~ member(esk20_3(esk43_0,esk46_0,esk44_0),X1)
| ~ member(esk21_3(esk43_0,esk46_0,esk44_0),X1)
| ~ maps(esk42_0,esk45_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_183]),c_0_209]) ).
cnf(c_0_225,negated_conjecture,
maps(esk42_0,esk45_0,esk46_0),
i_0_133 ).
cnf(c_0_226,plain,
( esk21_3(esk43_0,esk46_0,esk44_0) = esk20_3(esk43_0,esk46_0,esk44_0)
| ~ member(esk21_3(esk43_0,esk46_0,esk44_0),esk46_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_174]),c_0_225])]),c_0_209]) ).
cnf(c_0_227,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
i_0_57 ).
cnf(c_0_228,plain,
esk21_3(esk43_0,esk46_0,esk44_0) = esk20_3(esk43_0,esk46_0,esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_176]),c_0_209]) ).
cnf(c_0_229,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_209]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET744+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 19:25:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 253.98/33.38 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 253.98/33.38 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 253.98/33.38 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 253.98/33.38 # Preprocessing time : 0.691 s
% 253.98/33.38
% 253.98/33.38 # Proof found!
% 253.98/33.38 # SZS status Theorem
% 253.98/33.38 # SZS output start CNFRefutation
% See solution above
% 253.98/33.38 # Training examples: 0 positive, 0 negative
% 253.98/33.38
% 253.98/33.38 # -------------------------------------------------
% 253.98/33.38 # User time : 0.896 s
% 253.98/33.38 # System time : 0.096 s
% 253.98/33.38 # Total time : 0.992 s
% 253.98/33.38 # ...preprocessing : 0.691 s
% 253.98/33.38 # ...main loop : 0.301 s
% 253.98/33.38 # Maximum resident set size: 154960 pages
% 253.98/33.38
%------------------------------------------------------------------------------