TSTP Solution File: SEU073+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU073+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 08:38:19 EDT 2022

% Result   : Theorem 58.23s 8.82s
% Output   : CNFRefutation 58.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   71 (  10 unt;  15 nHn;  56 RR)
%            Number of literals    :  324 (  85 equ; 226 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :  199 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
    ( in(apply(X1,X2),X3)
    | X4 != relation_inverse_image(X1,X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_19) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X1 != apply(X3,X5)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X5,X4)
    | ~ in(X5,relation_dom(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_11) ).

cnf(i_0_26,plain,
    ( in(esk5_3(X1,X2,X3),relation_dom(X1))
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_26) ).

cnf(i_0_77,plain,
    ( X1 = X2
    | in(esk21_2(X1,X2),X2)
    | in(esk21_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_77) ).

cnf(i_0_20,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_inverse_image(X2,X4)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_20) ).

cnf(i_0_25,plain,
    ( apply(X1,esk5_3(X1,X2,X3)) = X3
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_25) ).

cnf(i_0_97,plain,
    ( apply(function_inverse(X1),apply(X1,X2)) = X2
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1)
    | ~ in(X2,relation_dom(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_97) ).

cnf(i_0_28,plain,
    ( relation(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_28) ).

cnf(i_0_27,plain,
    ( function(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_27) ).

cnf(i_0_74,negated_conjecture,
    relation(esk20_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_74) ).

cnf(i_0_73,negated_conjecture,
    function(esk20_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_73) ).

cnf(i_0_72,negated_conjecture,
    one_to_one(esk20_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_72) ).

cnf(i_0_95,plain,
    ( relation_rng(X1) = relation_dom(X2)
    | X2 != function_inverse(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ one_to_one(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_95) ).

cnf(i_0_24,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | X1 != apply(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X4,relation_dom(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_24) ).

cnf(i_0_14,plain,
    ( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_14) ).

cnf(i_0_18,plain,
    ( in(X1,X2)
    | X2 != relation_inverse_image(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(X3))
    | ~ in(apply(X3,X1),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_18) ).

cnf(i_0_13,plain,
    ( in(esk1_4(X1,X2,X3,X4),X2)
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_13) ).

cnf(i_0_12,plain,
    ( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_12) ).

cnf(i_0_78,plain,
    ( X1 = X2
    | ~ in(esk21_2(X1,X2),X2)
    | ~ in(esk21_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_78) ).

cnf(i_0_71,negated_conjecture,
    relation_inverse_image(function_inverse(esk20_0),esk19_0) != relation_image(esk20_0,esk19_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-02wfvm42/input.p',i_0_71) ).

cnf(c_0_118,plain,
    ( in(apply(X1,X2),X3)
    | X4 != relation_inverse_image(X1,X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X2,X4) ),
    i_0_19 ).

cnf(c_0_119,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X1 != apply(X3,X5)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X5,X4)
    | ~ in(X5,relation_dom(X3)) ),
    i_0_11 ).

cnf(c_0_120,plain,
    ( in(esk5_3(X1,X2,X3),relation_dom(X1))
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    i_0_26 ).

cnf(c_0_121,plain,
    ( in(apply(X1,X2),X3)
    | ~ in(X2,relation_inverse_image(X1,X3))
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(er,[status(thm)],[c_0_118]) ).

cnf(c_0_122,plain,
    ( X1 = X2
    | in(esk21_2(X1,X2),X2)
    | in(esk21_2(X1,X2),X1) ),
    i_0_77 ).

cnf(c_0_123,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_inverse_image(X2,X4)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X1,X3) ),
    i_0_20 ).

cnf(c_0_124,plain,
    ( in(X1,X2)
    | X1 != apply(X3,esk5_3(X3,X4,X5))
    | X2 != relation_image(X3,X6)
    | X4 != relation_rng(X3)
    | ~ in(esk5_3(X3,X4,X5),X6)
    | ~ in(X5,X4)
    | ~ relation(X3)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_125,plain,
    ( apply(X1,esk5_3(X1,X2,X3)) = X3
    | X2 != relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    i_0_25 ).

cnf(c_0_126,plain,
    ( apply(function_inverse(X1),apply(X1,X2)) = X2
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1)
    | ~ in(X2,relation_dom(X1)) ),
    i_0_97 ).

cnf(c_0_127,plain,
    ( relation_inverse_image(X1,X2) = X3
    | in(apply(X1,esk21_2(relation_inverse_image(X1,X2),X3)),X2)
    | in(esk21_2(relation_inverse_image(X1,X2),X3),X3)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_128,plain,
    ( relation(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    i_0_28 ).

cnf(c_0_129,plain,
    ( function(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    i_0_27 ).

cnf(c_0_130,plain,
    ( in(X1,relation_dom(X2))
    | ~ in(X1,relation_inverse_image(X2,X3))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(er,[status(thm)],[c_0_123]) ).

cnf(c_0_131,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_rng(X3)
    | ~ in(esk5_3(X3,X5,X1),X4)
    | ~ in(X1,X5)
    | ~ relation(X3)
    | ~ function(X3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125])]) ).

cnf(c_0_132,plain,
    ( esk5_3(X1,X2,X3) = apply(function_inverse(X1),X3)
    | X2 != relation_rng(X1)
    | ~ in(X3,X2)
    | ~ one_to_one(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_120]) ).

cnf(c_0_133,plain,
    ( relation_inverse_image(function_inverse(X1),X2) = X3
    | in(apply(function_inverse(X1),esk21_2(relation_inverse_image(function_inverse(X1),X2),X3)),X2)
    | in(esk21_2(relation_inverse_image(function_inverse(X1),X2),X3),X3)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).

cnf(c_0_134,negated_conjecture,
    relation(esk20_0),
    i_0_74 ).

cnf(c_0_135,negated_conjecture,
    function(esk20_0),
    i_0_73 ).

cnf(c_0_136,plain,
    ( relation_inverse_image(X1,X2) = X3
    | in(esk21_2(relation_inverse_image(X1,X2),X3),relation_dom(X1))
    | in(esk21_2(relation_inverse_image(X1,X2),X3),X3)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_122]) ).

cnf(c_0_137,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_rng(X3)
    | ~ in(apply(function_inverse(X3),X1),X4)
    | ~ in(X1,X5)
    | ~ one_to_one(X3)
    | ~ relation(X3)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_138,negated_conjecture,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(apply(function_inverse(esk20_0),esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2)),X1)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_139,negated_conjecture,
    one_to_one(esk20_0),
    i_0_72 ).

cnf(c_0_140,plain,
    ( relation_inverse_image(function_inverse(X1),X2) = X3
    | in(esk21_2(relation_inverse_image(function_inverse(X1),X2),X3),relation_dom(function_inverse(X1)))
    | in(esk21_2(relation_inverse_image(function_inverse(X1),X2),X3),X3)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_128]),c_0_129]) ).

cnf(c_0_141,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X3)
    | X3 != relation_image(esk20_0,X1)
    | X4 != relation_rng(esk20_0)
    | ~ in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_134]),c_0_135])]) ).

cnf(c_0_142,negated_conjecture,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),relation_dom(function_inverse(esk20_0)))
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_134]),c_0_135])]) ).

cnf(c_0_143,plain,
    ( relation_rng(X1) = relation_dom(X2)
    | X2 != function_inverse(X1)
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ one_to_one(X1) ),
    i_0_95 ).

cnf(c_0_144,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | X1 != apply(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X4,relation_dom(X3)) ),
    i_0_24 ).

cnf(c_0_145,plain,
    ( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_14 ).

cnf(c_0_146,negated_conjecture,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X3)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2)
    | relation_dom(function_inverse(esk20_0)) != relation_rng(esk20_0)
    | X3 != relation_image(esk20_0,X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_147,plain,
    ( relation_dom(function_inverse(X1)) = relation_rng(X1)
    | ~ one_to_one(X1)
    | ~ relation(function_inverse(X1))
    | ~ relation(X1)
    | ~ function(function_inverse(X1))
    | ~ function(X1) ),
    inference(er,[status(thm)],[c_0_143]) ).

cnf(c_0_148,plain,
    ( in(X1,X2)
    | X2 != relation_inverse_image(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(X3))
    | ~ in(apply(X3,X1),X4) ),
    i_0_18 ).

cnf(c_0_149,plain,
    ( in(X1,X2)
    | X1 != apply(X3,esk1_4(X3,X4,X5,X6))
    | X5 != relation_image(X3,X4)
    | X2 != relation_rng(X3)
    | ~ in(X6,X5)
    | ~ relation(X3)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_150,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X3)
    | X3 != relation_image(esk20_0,X1)
    | ~ relation(function_inverse(esk20_0))
    | ~ function(function_inverse(esk20_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_139]),c_0_134]),c_0_135])]) ).

cnf(c_0_151,plain,
    ( in(apply(X1,X2),X3)
    | X3 != relation_inverse_image(function_inverse(X1),X4)
    | ~ in(apply(X1,X2),relation_dom(function_inverse(X1)))
    | ~ in(X2,relation_dom(X1))
    | ~ in(X2,X4)
    | ~ one_to_one(X1)
    | ~ relation(function_inverse(X1))
    | ~ relation(X1)
    | ~ function(function_inverse(X1))
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_126]) ).

cnf(c_0_152,plain,
    ( in(apply(X1,esk1_4(X1,X2,X3,X4)),X5)
    | X3 != relation_image(X1,X2)
    | X5 != relation_rng(X1)
    | ~ in(X4,X3)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(er,[status(thm)],[c_0_149]) ).

cnf(c_0_153,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X3)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2)
    | X3 != relation_image(esk20_0,X1)
    | ~ function(function_inverse(esk20_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_128]),c_0_134]),c_0_135])]) ).

cnf(c_0_154,plain,
    ( in(apply(X1,esk1_4(X1,X2,X3,X4)),X5)
    | X5 != relation_inverse_image(function_inverse(X1),X6)
    | X3 != relation_image(X1,X2)
    | ~ in(esk1_4(X1,X2,X3,X4),X6)
    | ~ in(X4,X3)
    | ~ one_to_one(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_147]),c_0_129]),c_0_128]),c_0_145]) ).

cnf(c_0_155,plain,
    ( in(esk1_4(X1,X2,X3,X4),X2)
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_13 ).

cnf(c_0_156,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X3)
    | X3 != relation_image(esk20_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_129]),c_0_134]),c_0_135])]) ).

cnf(c_0_157,plain,
    ( in(apply(X1,esk1_4(X1,X2,X3,X4)),X5)
    | X5 != relation_inverse_image(function_inverse(X1),X2)
    | X3 != relation_image(X1,X2)
    | ~ in(X4,X3)
    | ~ one_to_one(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_158,plain,
    ( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
    | X3 != relation_image(X1,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_12 ).

cnf(c_0_159,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = X2
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),relation_image(esk20_0,X1))
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),X2),X2) ),
    inference(er,[status(thm)],[c_0_156]) ).

cnf(c_0_160,plain,
    ( in(X1,X2)
    | X2 != relation_inverse_image(function_inverse(X3),X4)
    | X5 != relation_image(X3,X4)
    | ~ in(X1,X5)
    | ~ one_to_one(X3)
    | ~ relation(X3)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_161,plain,
    ( X1 = X2
    | ~ in(esk21_2(X1,X2),X2)
    | ~ in(esk21_2(X1,X2),X1) ),
    i_0_78 ).

cnf(c_0_162,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = relation_image(esk20_0,X1)
    | in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),relation_image(esk20_0,X1)),relation_image(esk20_0,X1)) ),
    inference(ef,[status(thm)],[c_0_159]) ).

cnf(c_0_163,plain,
    ( in(X1,relation_inverse_image(function_inverse(X2),X3))
    | X4 != relation_image(X2,X3)
    | ~ in(X1,X4)
    | ~ one_to_one(X2)
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(er,[status(thm)],[c_0_160]) ).

cnf(c_0_164,plain,
    ( relation_inverse_image(function_inverse(esk20_0),X1) = relation_image(esk20_0,X1)
    | ~ in(esk21_2(relation_inverse_image(function_inverse(esk20_0),X1),relation_image(esk20_0,X1)),relation_inverse_image(function_inverse(esk20_0),X1)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_165,plain,
    ( in(X1,relation_inverse_image(function_inverse(X2),X3))
    | ~ in(X1,relation_image(X2,X3))
    | ~ one_to_one(X2)
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(er,[status(thm)],[c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    relation_inverse_image(function_inverse(esk20_0),esk19_0) != relation_image(esk20_0,esk19_0),
    i_0_71 ).

cnf(c_0_167,plain,
    relation_inverse_image(function_inverse(esk20_0),X1) = relation_image(esk20_0,X1),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_139]),c_0_134]),c_0_135])]),c_0_162]) ).

cnf(c_0_168,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU073+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 08:31:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 58.23/8.82  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 58.23/8.82  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 58.23/8.82  # Preprocessing time       : 1.195 s
% 58.23/8.82  
% 58.23/8.82  # Proof found!
% 58.23/8.82  # SZS status Theorem
% 58.23/8.82  # SZS output start CNFRefutation
% See solution above
% 58.23/8.82  # Training examples: 0 positive, 0 negative
% 58.23/8.82  
% 58.23/8.82  # -------------------------------------------------
% 58.23/8.82  # User time                : 6.056 s
% 58.23/8.82  # System time              : 0.175 s
% 58.23/8.82  # Total time               : 6.231 s
% 58.23/8.82  # ...preprocessing         : 1.195 s
% 58.23/8.82  # ...main loop             : 5.036 s
% 58.23/8.82  # Maximum resident set size: 177392 pages
% 58.23/8.82  
%------------------------------------------------------------------------------