TSTP Solution File: SET712+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET712+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 00:13:36 EDT 2022
% Result : Theorem 255.03s 33.79s
% Output : CNFRefutation 255.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of clauses : 73 ( 19 unt; 31 nHn; 61 RR)
% Number of literals : 213 ( 10 equ; 95 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 : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 183 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_67,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(inverse_function(X1,X4,X5),X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_67) ).
cnf(i_0_102,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_102) ).
cnf(i_0_111,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_111) ).
cnf(i_0_130,negated_conjecture,
one_to_one(esk41_0,esk42_0,esk43_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_130) ).
cnf(i_0_105,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk33_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_105) ).
cnf(i_0_101,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_101) ).
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/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_63) ).
cnf(i_0_104,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk34_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_104) ).
cnf(i_0_103,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk35_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_103) ).
cnf(i_0_100,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_100) ).
cnf(i_0_110,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_110) ).
cnf(i_0_129,negated_conjecture,
~ maps(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_129) ).
cnf(i_0_127,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_127) ).
cnf(i_0_128,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_128) ).
cnf(i_0_68,plain,
( apply(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X4,X3)
| ~ member(X5,X2)
| ~ apply(X1,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_68) ).
cnf(i_0_95,plain,
( maps(X1,X2,X3)
| apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3))
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_95) ).
cnf(i_0_99,plain,
( maps(X1,X2,X3)
| member(esk33_3(X1,X2,X3),X2)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_99) ).
cnf(i_0_97,plain,
( maps(X1,X2,X3)
| member(esk35_3(X1,X2,X3),X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_97) ).
cnf(i_0_96,plain,
( maps(X1,X2,X3)
| apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_96) ).
cnf(i_0_98,plain,
( maps(X1,X2,X3)
| member(esk34_3(X1,X2,X3),X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_98) ).
cnf(i_0_94,plain,
( maps(X1,X2,X3)
| esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dbccnwv4/input.p',i_0_94) ).
cnf(c_0_152,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(inverse_function(X1,X4,X5),X3,X2) ),
i_0_67 ).
cnf(c_0_153,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3)) ),
i_0_102 ).
cnf(c_0_154,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_111 ).
cnf(c_0_155,negated_conjecture,
one_to_one(esk41_0,esk42_0,esk43_0),
i_0_130 ).
cnf(c_0_156,plain,
( apply(X1,esk34_3(inverse_function(X1,X2,X3),X4,X5),esk33_3(inverse_function(X1,X2,X3),X4,X5))
| member(esk32_3(inverse_function(X1,X2,X3),X4,X5),X4)
| maps(inverse_function(X1,X2,X3),X4,X5)
| ~ member(esk33_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk34_3(inverse_function(X1,X2,X3),X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_157,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk33_3(X1,X2,X3),X2) ),
i_0_105 ).
cnf(c_0_158,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3)) ),
i_0_101 ).
cnf(c_0_159,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_160,negated_conjecture,
injective(esk41_0,esk42_0,esk43_0),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_161,plain,
( apply(X1,esk34_3(inverse_function(X1,X2,X3),X3,X4),esk33_3(inverse_function(X1,X2,X3),X3,X4))
| member(esk32_3(inverse_function(X1,X2,X3),X3,X4),X3)
| maps(inverse_function(X1,X2,X3),X3,X4)
| ~ member(esk34_3(inverse_function(X1,X2,X3),X3,X4),X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_162,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk34_3(X1,X2,X3),X3) ),
i_0_104 ).
cnf(c_0_163,plain,
( apply(X1,esk35_3(inverse_function(X1,X2,X3),X4,X5),esk33_3(inverse_function(X1,X2,X3),X4,X5))
| member(esk32_3(inverse_function(X1,X2,X3),X4,X5),X4)
| maps(inverse_function(X1,X2,X3),X4,X5)
| ~ member(esk33_3(inverse_function(X1,X2,X3),X4,X5),X3)
| ~ member(esk35_3(inverse_function(X1,X2,X3),X4,X5),X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X2,X3)
| ~ apply(esk41_0,X1,X3)
| ~ member(X3,esk43_0)
| ~ member(X2,esk42_0)
| ~ member(X1,esk42_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,plain,
( apply(X1,esk34_3(inverse_function(X1,X2,X3),X3,X2),esk33_3(inverse_function(X1,X2,X3),X3,X2))
| member(esk32_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,plain,
( apply(X1,esk35_3(inverse_function(X1,X2,X3),X3,X4),esk33_3(inverse_function(X1,X2,X3),X3,X4))
| member(esk32_3(inverse_function(X1,X2,X3),X3,X4),X3)
| maps(inverse_function(X1,X2,X3),X3,X4)
| ~ member(esk35_3(inverse_function(X1,X2,X3),X3,X4),X2) ),
inference(spm,[status(thm)],[c_0_163,c_0_157]) ).
cnf(c_0_167,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| member(esk35_3(X1,X2,X3),X3) ),
i_0_103 ).
cnf(c_0_168,negated_conjecture,
( X1 = esk34_3(inverse_function(esk41_0,X2,X3),X3,X2)
| member(esk32_3(inverse_function(esk41_0,X2,X3),X3,X2),X3)
| maps(inverse_function(esk41_0,X2,X3),X3,X2)
| ~ apply(esk41_0,X1,esk33_3(inverse_function(esk41_0,X2,X3),X3,X2))
| ~ member(esk33_3(inverse_function(esk41_0,X2,X3),X3,X2),esk43_0)
| ~ member(esk34_3(inverse_function(esk41_0,X2,X3),X3,X2),esk42_0)
| ~ member(X1,esk42_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_169,plain,
( apply(X1,esk35_3(inverse_function(X1,X2,X3),X3,X2),esk33_3(inverse_function(X1,X2,X3),X3,X2))
| member(esk32_3(inverse_function(X1,X2,X3),X3,X2),X3)
| maps(inverse_function(X1,X2,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,plain,
( maps(X1,X2,X3)
| member(esk32_3(X1,X2,X3),X2)
| esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3) ),
i_0_100 ).
cnf(c_0_171,plain,
( member(esk32_3(inverse_function(esk41_0,X1,X2),X2,X1),X2)
| maps(inverse_function(esk41_0,X1,X2),X2,X1)
| ~ member(esk33_3(inverse_function(esk41_0,X1,X2),X2,X1),esk43_0)
| ~ member(esk34_3(inverse_function(esk41_0,X1,X2),X2,X1),esk42_0)
| ~ member(esk35_3(inverse_function(esk41_0,X1,X2),X2,X1),esk42_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_172,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_110 ).
cnf(c_0_173,plain,
( member(esk32_3(inverse_function(esk41_0,X1,esk43_0),esk43_0,X1),esk43_0)
| maps(inverse_function(esk41_0,X1,esk43_0),esk43_0,X1)
| ~ member(esk34_3(inverse_function(esk41_0,X1,esk43_0),esk43_0,X1),esk42_0)
| ~ member(esk35_3(inverse_function(esk41_0,X1,esk43_0),esk43_0,X1),esk42_0) ),
inference(spm,[status(thm)],[c_0_171,c_0_157]) ).
cnf(c_0_174,negated_conjecture,
~ maps(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),
i_0_129 ).
cnf(c_0_175,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_176,negated_conjecture,
surjective(esk41_0,esk42_0,esk43_0),
inference(spm,[status(thm)],[c_0_172,c_0_155]) ).
cnf(c_0_177,plain,
( member(esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk43_0)
| ~ member(esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk42_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_162]),c_0_174]) ).
cnf(c_0_178,plain,
( apply(esk41_0,esk39_4(esk41_0,esk42_0,esk43_0,X1),X1)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_179,plain,
member(esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk43_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_167]),c_0_174]) ).
cnf(c_0_180,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_128 ).
cnf(c_0_181,plain,
( apply(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X4,X3)
| ~ member(X5,X2)
| ~ apply(X1,X5,X4) ),
i_0_68 ).
cnf(c_0_182,plain,
apply(esk41_0,esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_183,negated_conjecture,
( member(esk39_4(esk41_0,esk42_0,esk43_0,X1),esk42_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_176]) ).
cnf(c_0_184,plain,
( apply(inverse_function(esk41_0,X1,X2),esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)))
| ~ member(esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),X1)
| ~ member(esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_185,negated_conjecture,
member(esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),esk42_0),
inference(spm,[status(thm)],[c_0_183,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
( apply(inverse_function(esk41_0,esk42_0,X1),esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)))
| ~ member(esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_187,plain,
( maps(X1,X2,X3)
| apply(X1,esk33_3(X1,X2,X3),esk35_3(X1,X2,X3))
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_95 ).
cnf(c_0_188,plain,
apply(inverse_function(esk41_0,esk42_0,esk43_0),esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk39_4(esk41_0,esk42_0,esk43_0,esk32_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0))),
inference(spm,[status(thm)],[c_0_186,c_0_179]) ).
cnf(c_0_189,plain,
( maps(X1,X2,X3)
| member(esk33_3(X1,X2,X3),X2)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_99 ).
cnf(c_0_190,plain,
( maps(X1,X2,X3)
| member(esk35_3(X1,X2,X3),X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_97 ).
cnf(c_0_191,plain,
apply(inverse_function(esk41_0,esk42_0,esk43_0),esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_192,plain,
member(esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk43_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_193,plain,
member(esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk42_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_194,plain,
( maps(X1,X2,X3)
| apply(X1,esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_96 ).
cnf(c_0_195,plain,
( maps(X1,X2,X3)
| member(esk34_3(X1,X2,X3),X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_98 ).
cnf(c_0_196,plain,
apply(esk41_0,esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_191]),c_0_192]),c_0_193])]) ).
cnf(c_0_197,plain,
apply(inverse_function(esk41_0,esk42_0,esk43_0),esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk34_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_198,plain,
member(esk34_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk42_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_199,plain,
( maps(X1,X2,X3)
| esk35_3(X1,X2,X3) != esk34_3(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk32_3(X1,X2,X3),X4) ),
i_0_94 ).
cnf(c_0_200,negated_conjecture,
( X1 = esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)
| ~ apply(esk41_0,X1,esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0))
| ~ member(X1,esk42_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_196]),c_0_192]),c_0_193])]) ).
cnf(c_0_201,plain,
apply(esk41_0,esk34_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk33_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_197]),c_0_192]),c_0_198])]) ).
cnf(c_0_202,plain,
esk35_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0) != esk34_3(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_188]),c_0_185])]),c_0_174]) ).
cnf(c_0_203,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_198])]),c_0_202]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET712+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n027.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 : Sun Jul 10 18:57:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/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
% 255.03/33.79 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 255.03/33.79 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 255.03/33.79 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 255.03/33.79 # Preprocessing time : 0.693 s
% 255.03/33.79
% 255.03/33.79 # Proof found!
% 255.03/33.79 # SZS status Theorem
% 255.03/33.79 # SZS output start CNFRefutation
% See solution above
% 255.03/33.79 # Training examples: 0 positive, 0 negative
% 255.03/33.79
% 255.03/33.79 # -------------------------------------------------
% 255.03/33.79 # User time : 0.735 s
% 255.03/33.79 # System time : 0.097 s
% 255.03/33.79 # Total time : 0.832 s
% 255.03/33.79 # ...preprocessing : 0.693 s
% 255.03/33.79 # ...main loop : 0.139 s
% 255.03/33.79 # Maximum resident set size: 155720 pages
% 255.03/33.79
%------------------------------------------------------------------------------