TSTP Solution File: SET718+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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  
%------------------------------------------------------------------------------