TSTP Solution File: SET718+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET718+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 00:13:39 EDT 2022
% Result : Theorem 104.91s 14.48s
% Output : CNFRefutation 104.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 28
% Syntax : Number of clauses : 139 ( 23 unt; 69 nHn; 106 RR)
% Number of literals : 393 ( 35 equ; 188 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-7 aty)
% Number of variables : 430 ( 2 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-q6e_6jgl/input.p',i_0_110) ).
cnf(i_0_130,negated_conjecture,
one_to_one(esk42_0,esk44_0,esk45_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_130) ).
cnf(i_0_131,negated_conjecture,
one_to_one(esk41_0,esk43_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_131) ).
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-q6e_6jgl/input.p',i_0_128) ).
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-q6e_6jgl/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-q6e_6jgl/input.p',i_0_126) ).
cnf(i_0_107,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_107) ).
cnf(i_0_133,negated_conjecture,
maps(esk41_0,esk43_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_133) ).
cnf(i_0_3,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_3) ).
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-q6e_6jgl/input.p',i_0_58) ).
cnf(i_0_111,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_111) ).
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-q6e_6jgl/input.p',i_0_2) ).
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-q6e_6jgl/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-q6e_6jgl/input.p',i_0_59) ).
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-q6e_6jgl/input.p',i_0_106) ).
cnf(i_0_61,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_61) ).
cnf(i_0_60,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_60) ).
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-q6e_6jgl/input.p',i_0_63) ).
cnf(i_0_62,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_62) ).
cnf(i_0_108,plain,
( member(esk31_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_108) ).
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-q6e_6jgl/input.p',i_0_4) ).
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-q6e_6jgl/input.p',i_0_125) ).
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-q6e_6jgl/input.p',i_0_109) ).
cnf(i_0_129,negated_conjecture,
~ one_to_one(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_129) ).
cnf(i_0_69,plain,
( member(X1,inverse_image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_69) ).
cnf(i_0_64,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_64) ).
cnf(i_0_65,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q6e_6jgl/input.p',i_0_65) ).
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-q6e_6jgl/input.p',i_0_57) ).
cnf(c_0_162,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_110 ).
cnf(c_0_163,negated_conjecture,
one_to_one(esk42_0,esk44_0,esk45_0),
i_0_130 ).
cnf(c_0_164,negated_conjecture,
one_to_one(esk41_0,esk43_0,esk44_0),
i_0_131 ).
cnf(c_0_165,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_128 ).
cnf(c_0_166,negated_conjecture,
surjective(esk42_0,esk44_0,esk45_0),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_167,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_168,negated_conjecture,
surjective(esk41_0,esk43_0,esk44_0),
inference(spm,[status(thm)],[c_0_162,c_0_164]) ).
cnf(c_0_169,plain,
( member(esk39_4(esk42_0,esk44_0,esk45_0,X1),esk44_0)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_170,plain,
( surjective(X1,X2,X3)
| member(esk40_3(X1,X2,X3),X3) ),
i_0_126 ).
cnf(c_0_171,plain,
( apply(esk41_0,esk39_4(esk41_0,esk43_0,esk44_0,X1),X1)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_172,plain,
( surjective(X1,X2,esk45_0)
| member(esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_173,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
i_0_107 ).
cnf(c_0_174,negated_conjecture,
maps(esk41_0,esk43_0,esk44_0),
i_0_133 ).
cnf(c_0_175,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
i_0_3 ).
cnf(c_0_176,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_58 ).
cnf(c_0_177,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_111 ).
cnf(c_0_178,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_179,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_180,plain,
( surjective(X1,X2,esk45_0)
| apply(esk41_0,esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_181,plain,
( apply(esk42_0,esk39_4(esk42_0,esk44_0,esk45_0,X1),X1)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_166]) ).
cnf(c_0_182,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_59 ).
cnf(c_0_183,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_184,negated_conjecture,
( apply(esk41_0,X1,esk31_4(esk41_0,esk43_0,esk44_0,X1))
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_185,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
i_0_61 ).
cnf(c_0_186,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X2,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)))
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_187,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
i_0_60 ).
cnf(c_0_188,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_189,negated_conjecture,
injective(esk42_0,esk44_0,esk45_0),
inference(spm,[status(thm)],[c_0_177,c_0_163]) ).
cnf(c_0_190,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_178,c_0_176]) ).
cnf(c_0_191,plain,
( surjective(X1,X2,esk45_0)
| apply(compose_function(X3,esk41_0,X4,X5,X6),esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),X7)
| ~ apply(X3,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),X7)
| ~ member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),X4)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),X5)
| ~ member(X7,X6) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_192,plain,
( surjective(X1,X2,esk45_0)
| apply(esk42_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),esk40_3(X1,X2,esk45_0)) ),
inference(spm,[status(thm)],[c_0_181,c_0_170]) ).
cnf(c_0_193,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
i_0_62 ).
cnf(c_0_194,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X2,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)))
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_175,c_0_182]) ).
cnf(c_0_195,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_178,c_0_182]) ).
cnf(c_0_196,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X3,X2)
| ~ apply(esk41_0,X3,X1)
| ~ member(X3,esk43_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_174]) ).
cnf(c_0_197,plain,
( injective(X1,esk43_0,X2)
| apply(esk41_0,esk21_3(X1,esk43_0,X2),esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X1,esk43_0,X2))) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_198,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| apply(X2,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)))
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_199,plain,
( X1 = X2
| ~ apply(esk42_0,X2,X3)
| ~ apply(esk42_0,X1,X3)
| ~ member(X3,esk45_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_200,plain,
( injective(X1,X2,esk45_0)
| apply(esk42_0,esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(X1,X2,esk45_0)),esk22_3(X1,X2,esk45_0)) ),
inference(spm,[status(thm)],[c_0_181,c_0_187]) ).
cnf(c_0_201,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_190,c_0_187]) ).
cnf(c_0_202,plain,
( surjective(X1,X2,esk45_0)
| apply(compose_function(esk42_0,esk41_0,X3,X4,X5),esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk40_3(X1,X2,esk45_0))
| ~ member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),X3)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),X4)
| ~ member(esk40_3(X1,X2,esk45_0),X5) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_203,plain,
( injective(X1,esk43_0,X2)
| apply(esk41_0,esk20_3(X1,esk43_0,X2),esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X1,esk43_0,X2))) ),
inference(spm,[status(thm)],[c_0_184,c_0_193]) ).
cnf(c_0_204,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| apply(X2,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)))
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_194,c_0_187]) ).
cnf(c_0_205,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_195,c_0_187]) ).
cnf(c_0_206,negated_conjecture,
( X1 = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3))
| injective(X2,esk43_0,X3)
| ~ apply(esk41_0,esk21_3(X2,esk43_0,X3),X1)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3)),esk44_0)
| ~ member(esk21_3(X2,esk43_0,X3),esk43_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_207,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X2,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5))) ),
inference(spm,[status(thm)],[c_0_198,c_0_185]) ).
cnf(c_0_208,plain,
( member(esk31_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
i_0_108 ).
cnf(c_0_209,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_210,plain,
( X1 = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(X2,X3,esk45_0))
| injective(X2,X3,esk45_0)
| ~ apply(esk42_0,X1,esk22_3(X2,X3,esk45_0))
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(X2,X3,esk45_0)),esk44_0)
| ~ member(esk22_3(X2,X3,esk45_0),esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_211,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)) ),
inference(spm,[status(thm)],[c_0_201,c_0_185]) ).
cnf(c_0_212,plain,
( surjective(X1,X2,esk45_0)
| apply(compose_function(esk42_0,esk41_0,X3,X4,esk45_0),esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk40_3(X1,X2,esk45_0))
| ~ member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),X3)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0)),X4) ),
inference(spm,[status(thm)],[c_0_202,c_0_170]) ).
cnf(c_0_213,plain,
( member(esk39_4(esk41_0,esk43_0,esk44_0,X1),esk43_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_168]) ).
cnf(c_0_214,negated_conjecture,
( X1 = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X2,esk43_0,X3))
| injective(X2,esk43_0,X3)
| ~ apply(esk41_0,esk20_3(X2,esk43_0,X3),X1)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X2,esk43_0,X3)),esk44_0)
| ~ member(esk20_3(X2,esk43_0,X3),esk43_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_203]) ).
cnf(c_0_215,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X2,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5))) ),
inference(spm,[status(thm)],[c_0_204,c_0_193]) ).
cnf(c_0_216,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)) ),
inference(spm,[status(thm)],[c_0_205,c_0_193]) ).
cnf(c_0_217,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk43_0) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_218,negated_conjecture,
( member(esk31_4(esk41_0,esk43_0,esk44_0,X1),esk44_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_174]) ).
cnf(c_0_219,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_209,c_0_176]) ).
cnf(c_0_220,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk45_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_221,plain,
( surjective(X1,X2,esk45_0)
| apply(compose_function(esk42_0,esk41_0,X3,esk44_0,esk45_0),esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk40_3(X1,X2,esk45_0))
| ~ member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),X3) ),
inference(spm,[status(thm)],[c_0_212,c_0_172]) ).
cnf(c_0_222,plain,
( surjective(X1,X2,esk45_0)
| member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk43_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_172]) ).
cnf(c_0_223,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk43_0) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_209,c_0_182]) ).
cnf(c_0_225,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk45_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_216]) ).
cnf(c_0_226,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_185]) ).
cnf(c_0_227,plain,
( injective(X1,esk43_0,X2)
| member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X1,esk43_0,X2)),esk44_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_185]) ).
cnf(c_0_228,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_219,c_0_187]) ).
cnf(c_0_229,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_220,c_0_187]) ).
cnf(c_0_230,plain,
( injective(X1,X2,esk45_0)
| member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(X1,X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_187]) ).
cnf(c_0_231,plain,
( surjective(X1,X2,X3)
| ~ member(X4,X2)
| ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
i_0_125 ).
cnf(c_0_232,plain,
( surjective(X1,X2,esk45_0)
| apply(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(X1,X2,esk45_0))),esk40_3(X1,X2,esk45_0)) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_233,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_223,c_0_193]) ).
cnf(c_0_234,plain,
( injective(X1,esk43_0,X2)
| member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X1,esk43_0,X2)),esk44_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_193]) ).
cnf(c_0_235,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_224,c_0_187]) ).
cnf(c_0_236,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0)
| ~ member(esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_225,c_0_187]) ).
cnf(c_0_237,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_238,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4) ),
inference(spm,[status(thm)],[c_0_228,c_0_185]) ).
cnf(c_0_239,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_240,plain,
( surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),X1,esk45_0)
| ~ member(esk39_4(esk41_0,esk43_0,esk44_0,esk39_4(esk42_0,esk44_0,esk45_0,esk40_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),X1,esk45_0))),X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_241,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk20_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_242,plain,
( injective(compose_function(X1,X2,X3,X4,X5),X3,X5)
| member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4) ),
inference(spm,[status(thm)],[c_0_235,c_0_193]) ).
cnf(c_0_243,plain,
( esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)
| ~ member(esk1_7(esk42_0,X1,X2,X3,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,X3,esk45_0),X2,esk45_0)),esk44_0) ),
inference(spm,[status(thm)],[c_0_236,c_0_230]) ).
cnf(c_0_244,plain,
( esk1_7(X1,esk41_0,esk43_0,esk44_0,X2,esk21_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2),esk22_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| injective(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,plain,
( esk1_7(esk42_0,X1,X2,esk44_0,esk45_0,esk21_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0) ),
inference(spm,[status(thm)],[c_0_239,c_0_238]) ).
cnf(c_0_246,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
i_0_109 ).
cnf(c_0_247,plain,
surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
inference(spm,[status(thm)],[c_0_240,c_0_222]) ).
cnf(c_0_248,negated_conjecture,
~ one_to_one(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
i_0_129 ).
cnf(c_0_249,plain,
( esk1_7(X1,esk41_0,esk43_0,esk44_0,X2,esk20_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2),esk22_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| injective(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_250,plain,
( esk1_7(esk42_0,X1,X2,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0),esk22_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0)) = esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0))
| injective(compose_function(esk42_0,X1,X2,esk44_0,esk45_0),X2,esk45_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_242]) ).
cnf(c_0_251,plain,
( esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))
| injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_252,plain,
~ injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).
cnf(c_0_253,plain,
( esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))
| injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_254,plain,
esk39_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),
inference(sr,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_255,plain,
( member(X1,inverse_image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X1,X4) ),
i_0_69 ).
cnf(c_0_256,plain,
esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_253,c_0_252]),c_0_254]) ).
cnf(c_0_257,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_64 ).
cnf(c_0_258,plain,
( injective(X1,esk43_0,X2)
| member(esk20_3(X1,esk43_0,X2),inverse_image2(esk41_0,X3))
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X1,esk43_0,X2)),X3) ),
inference(spm,[status(thm)],[c_0_255,c_0_203]) ).
cnf(c_0_259,plain,
member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_256]),c_0_252]) ).
cnf(c_0_260,negated_conjecture,
injective(esk41_0,esk43_0,esk44_0),
inference(spm,[status(thm)],[c_0_177,c_0_164]) ).
cnf(c_0_261,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),intersection(X4,X2))
| ~ member(esk20_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_257,c_0_193]) ).
cnf(c_0_262,plain,
member(esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),inverse_image2(esk41_0,esk44_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_252]) ).
cnf(c_0_263,plain,
( X1 = X2
| ~ apply(esk41_0,X2,X3)
| ~ apply(esk41_0,X1,X3)
| ~ member(X3,esk44_0)
| ~ member(X2,esk43_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_260]) ).
cnf(c_0_264,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_65 ).
cnf(c_0_265,plain,
member(esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),intersection(inverse_image2(esk41_0,esk44_0),esk43_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_252]) ).
cnf(c_0_266,plain,
( X1 = esk20_3(X2,esk43_0,X3)
| injective(X2,esk43_0,X3)
| ~ apply(esk41_0,X1,esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X2,esk43_0,X3)))
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(X2,esk43_0,X3)),esk44_0)
| ~ member(esk20_3(X2,esk43_0,X3),esk43_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_263,c_0_203]) ).
cnf(c_0_267,plain,
apply(esk41_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk31_4(esk41_0,esk43_0,esk44_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_256]),c_0_252]) ).
cnf(c_0_268,plain,
member(esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk43_0),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_269,plain,
( esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) = esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)
| ~ member(esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk43_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_259]),c_0_268])]),c_0_252]) ).
cnf(c_0_270,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
i_0_57 ).
cnf(c_0_271,plain,
esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) = esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_185]),c_0_252]) ).
cnf(c_0_272,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_252]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET718+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 11 01:29:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.17/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 104.91/14.48 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 104.91/14.48 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 104.91/14.48 # Preprocessing time : 0.841 s
% 104.91/14.48 # Presaturation interreduction done
% 104.91/14.48
% 104.91/14.48 # Proof found!
% 104.91/14.48 # SZS status Theorem
% 104.91/14.48 # SZS output start CNFRefutation
% See solution above
% 104.91/14.48 # Training examples: 0 positive, 0 negative
% 104.91/14.48
% 104.91/14.48 # -------------------------------------------------
% 104.91/14.48 # User time : 11.874 s
% 104.91/14.48 # System time : 0.240 s
% 104.91/14.48 # Total time : 12.113 s
% 104.91/14.48 # ...preprocessing : 0.841 s
% 104.91/14.48 # ...main loop : 11.273 s
% 104.91/14.48 # Maximum resident set size: 166964 pages
% 104.91/14.48
%------------------------------------------------------------------------------