TSTP Solution File: ITP021+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ITP021+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 : Sat Jul 16 22:34:22 EDT 2022

% Result   : Theorem 20.62s 3.99s
% Output   : CNFRefutation 20.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  138 (  39 unt;  51 nHn; 138 RR)
%            Number of literals    :  368 (  81 equ; 175 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :  111 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
    ( X1 = X2
    | p(X2)
    | p(X1)
    | ~ mem(X2,bool)
    | ~ mem(X1,bool) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_22) ).

cnf(i_0_114,plain,
    mem(c_2Ebool_2EF,bool),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_114) ).

cnf(i_0_11,plain,
    ~ p(c_2Ebool_2EF),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_11) ).

cnf(i_0_4,plain,
    ( mem(esk1_2(X1,X2),X1)
    | p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ ne(X1)
    | ~ mem(X2,arr(X1,bool)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_4) ).

cnf(i_0_112,plain,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_112) ).

cnf(i_0_24,plain,
    ne(bool),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_24) ).

cnf(i_0_5,plain,
    ( p(ap(X1,X2))
    | ~ ne(X3)
    | ~ mem(X2,X3)
    | ~ p(ap(c_2Ebool_2E_21(X3),X1))
    | ~ mem(X1,arr(X3,bool)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_5) ).

cnf(i_0_23,plain,
    ( X1 = X2
    | ~ p(X2)
    | ~ p(X1)
    | ~ mem(X2,bool)
    | ~ mem(X1,bool) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_23) ).

cnf(i_0_115,plain,
    mem(c_2Ebool_2ET,bool),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_115) ).

cnf(i_0_21,plain,
    p(c_2Ebool_2ET),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_21) ).

cnf(i_0_1,plain,
    ( mem(ap(X1,X2),X3)
    | ~ mem(X2,X4)
    | ~ mem(X1,arr(X4,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_1) ).

cnf(i_0_109,plain,
    ( mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))
    | ~ ne(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_109) ).

cnf(i_0_15,plain,
    ( p(X1)
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_15) ).

cnf(i_0_3,plain,
    ( p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ ne(X1)
    | ~ mem(X2,arr(X1,bool))
    | ~ p(ap(X2,esk1_2(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_3) ).

cnf(i_0_116,plain,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_116) ).

cnf(i_0_50,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ mem(X2,ty_2Eextreal_2Eextreal) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_50) ).

cnf(i_0_56,negated_conjecture,
    mem(esk3_0,ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_56) ).

cnf(i_0_16,plain,
    ( ~ p(X1)
    | ~ mem(X1,bool)
    | ~ p(ap(c_2Ebool_2E_7E,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_16) ).

cnf(i_0_55,negated_conjecture,
    mem(esk4_0,ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_55) ).

cnf(i_0_57,negated_conjecture,
    mem(esk2_0,ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_57) ).

cnf(i_0_20,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)),X2),X1) = ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_20) ).

cnf(i_0_51,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X3,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_51) ).

cnf(i_0_25,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
    | ~ ne(X1)
    | ~ mem(X3,X1)
    | ~ mem(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_25) ).

cnf(i_0_120,plain,
    ne(ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_120) ).

cnf(i_0_53,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_53) ).

cnf(i_0_117,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_117) ).

cnf(i_0_54,negated_conjecture,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_54) ).

cnf(i_0_52,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_52) ).

cnf(i_0_26,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
    | ~ ne(X1)
    | ~ mem(X3,X1)
    | ~ mem(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nmh9hywu/input.p',i_0_26) ).

cnf(c_0_150,plain,
    ( X1 = X2
    | p(X2)
    | p(X1)
    | ~ mem(X2,bool)
    | ~ mem(X1,bool) ),
    i_0_22 ).

cnf(c_0_151,plain,
    mem(c_2Ebool_2EF,bool),
    i_0_114 ).

cnf(c_0_152,plain,
    ~ p(c_2Ebool_2EF),
    i_0_11 ).

cnf(c_0_153,plain,
    ( mem(esk1_2(X1,X2),X1)
    | p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ ne(X1)
    | ~ mem(X2,arr(X1,bool)) ),
    i_0_4 ).

cnf(c_0_154,plain,
    mem(c_2Ebool_2E_7E,arr(bool,bool)),
    i_0_112 ).

cnf(c_0_155,plain,
    ne(bool),
    i_0_24 ).

cnf(c_0_156,plain,
    ( p(ap(X1,X2))
    | ~ ne(X3)
    | ~ mem(X2,X3)
    | ~ p(ap(c_2Ebool_2E_21(X3),X1))
    | ~ mem(X1,arr(X3,bool)) ),
    i_0_5 ).

cnf(c_0_157,plain,
    ( X1 = c_2Ebool_2EF
    | p(X1)
    | ~ mem(X1,bool) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).

cnf(c_0_158,plain,
    ( mem(esk1_2(bool,c_2Ebool_2E_7E),bool)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155])]) ).

cnf(c_0_159,plain,
    ( X1 = X2
    | ~ p(X2)
    | ~ p(X1)
    | ~ mem(X2,bool)
    | ~ mem(X1,bool) ),
    i_0_23 ).

cnf(c_0_160,plain,
    mem(c_2Ebool_2ET,bool),
    i_0_115 ).

cnf(c_0_161,plain,
    p(c_2Ebool_2ET),
    i_0_21 ).

cnf(c_0_162,plain,
    ( p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool)
    | ~ p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_154]),c_0_155])]) ).

cnf(c_0_163,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | p(esk1_2(bool,c_2Ebool_2E_7E)) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_164,plain,
    ( X1 = c_2Ebool_2ET
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]) ).

cnf(c_0_165,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(esk1_2(bool,c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_166,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ p(esk1_2(bool,c_2Ebool_2E_7E)) ),
    inference(spm,[status(thm)],[c_0_164,c_0_158]) ).

cnf(c_0_167,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
    | p(esk1_2(bool,c_2Ebool_2E_7E)) ),
    inference(spm,[status(thm)],[c_0_165,c_0_160]) ).

cnf(c_0_168,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_169,plain,
    ( mem(ap(X1,X2),X3)
    | ~ mem(X2,X4)
    | ~ mem(X1,arr(X4,X3)) ),
    i_0_1 ).

cnf(c_0_170,plain,
    ( mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))
    | ~ ne(X1) ),
    i_0_109 ).

cnf(c_0_171,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    inference(spm,[status(thm)],[c_0_162,c_0_168]) ).

cnf(c_0_172,plain,
    ( p(X1)
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    i_0_15 ).

cnf(c_0_173,plain,
    ( mem(ap(c_2Ebool_2E_21(X1),X2),bool)
    | ~ mem(X2,arr(X1,bool))
    | ~ ne(X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_174,plain,
    ( p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ ne(X1)
    | ~ mem(X2,arr(X1,bool))
    | ~ p(ap(X2,esk1_2(X1,X2))) ),
    i_0_3 ).

cnf(c_0_175,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
    inference(spm,[status(thm)],[c_0_171,c_0_160]) ).

cnf(c_0_176,plain,
    p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_151]),c_0_152]) ).

cnf(c_0_177,plain,
    ( mem(ap(c_2Ebool_2E_7E,X1),bool)
    | ~ mem(X1,bool) ),
    inference(spm,[status(thm)],[c_0_169,c_0_154]) ).

cnf(c_0_178,plain,
    ( ap(c_2Ebool_2E_21(X1),X2) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ mem(X2,arr(X1,bool))
    | ~ ne(X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_173]) ).

cnf(c_0_179,plain,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    i_0_116 ).

cnf(c_0_180,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_154]),c_0_176]),c_0_155])]) ).

cnf(c_0_181,plain,
    ( ap(c_2Ebool_2E_7E,X1) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    inference(spm,[status(thm)],[c_0_157,c_0_177]) ).

cnf(c_0_182,plain,
    ( ap(c_2Ebool_2E_21(X1),X2) = c_2Ebool_2ET
    | ~ mem(X2,arr(X1,bool))
    | ~ p(ap(c_2Ebool_2E_21(X1),X2))
    | ~ ne(X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_173]) ).

cnf(c_0_183,plain,
    ( ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_154]),c_0_155])]) ).

cnf(c_0_184,plain,
    ( mem(ap(c_2Eextreal_2Eextreal__le,X1),arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_169,c_0_179]) ).

cnf(c_0_185,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ mem(X2,ty_2Eextreal_2Eextreal) ),
    i_0_50 ).

cnf(c_0_186,negated_conjecture,
    mem(esk3_0,ty_2Eextreal_2Eextreal),
    i_0_56 ).

cnf(c_0_187,plain,
    ( X1 = esk1_2(bool,c_2Ebool_2E_7E)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | ~ mem(X1,bool)
    | ~ p(esk1_2(bool,c_2Ebool_2E_7E))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_158]) ).

cnf(c_0_188,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
    | p(ap(c_2Ebool_2E_7E,X1))
    | ~ mem(X1,bool) ),
    inference(spm,[status(thm)],[c_0_162,c_0_180]) ).

cnf(c_0_189,plain,
    ( ~ p(X1)
    | ~ mem(X1,bool)
    | ~ p(ap(c_2Ebool_2E_7E,X1)) ),
    i_0_16 ).

cnf(c_0_190,plain,
    ( ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
    inference(spm,[status(thm)],[c_0_181,c_0_160]) ).

cnf(c_0_191,plain,
    ( ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E) = c_2Ebool_2EF
    | ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E) = c_2Ebool_2ET ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_154]),c_0_155])]) ).

cnf(c_0_192,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2),bool)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_169,c_0_184]) ).

cnf(c_0_193,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),X1))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_194,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | X1 = esk1_2(bool,c_2Ebool_2E_7E)
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_167]) ).

cnf(c_0_195,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET)) ),
    inference(spm,[status(thm)],[c_0_188,c_0_160]) ).

cnf(c_0_196,plain,
    ap(c_2Ebool_2E_7E,c_2Ebool_2ET) = c_2Ebool_2EF,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_160]),c_0_161])]) ).

cnf(c_0_197,plain,
    ( ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E) = c_2Ebool_2ET
    | c_2Ebool_2EF != c_2Ebool_2ET ),
    inference(ef,[status(thm)],[c_0_191]) ).

cnf(c_0_198,plain,
    ( X1 = ap(ap(c_2Eextreal_2Eextreal__le,X2),X3)
    | ~ mem(X1,bool)
    | ~ mem(X3,ty_2Eextreal_2Eextreal)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X3))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_192]) ).

cnf(c_0_199,negated_conjecture,
    p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_193]),c_0_186])]) ).

cnf(c_0_200,plain,
    ( esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2EF
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))
    | X1 != c_2Ebool_2EF
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(ef,[status(thm)],[c_0_194]) ).

cnf(c_0_201,plain,
    esk1_2(bool,c_2Ebool_2E_7E) = c_2Ebool_2ET,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_196]),c_0_152]) ).

cnf(c_0_202,plain,
    ( ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
    | ~ mem(c_2Ebool_2ET,X1)
    | ~ p(ap(c_2Ebool_2E_21(X1),c_2Ebool_2E_7E))
    | ~ ne(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_196]),c_0_152]) ).

cnf(c_0_203,plain,
    ( p(ap(c_2Ebool_2E_7E,X1))
    | c_2Ebool_2EF != c_2Ebool_2ET
    | ~ mem(X1,bool) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_197]),c_0_161])]) ).

cnf(c_0_204,negated_conjecture,
    ( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_186])]) ).

cnf(c_0_205,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) = c_2Ebool_2EF
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_157,c_0_192]) ).

cnf(c_0_206,negated_conjecture,
    mem(esk4_0,ty_2Eextreal_2Eextreal),
    i_0_55 ).

cnf(c_0_207,plain,
    ( c_2Ebool_2EF = c_2Ebool_2ET
    | p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
    | X1 != c_2Ebool_2EF
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_196]),c_0_152]),c_0_201]) ).

cnf(c_0_208,plain,
    ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E) = c_2Ebool_2EF,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_183]),c_0_154]),c_0_160]),c_0_155])]) ).

cnf(c_0_209,plain,
    c_2Ebool_2EF != c_2Ebool_2ET,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_196]),c_0_160])]),c_0_152]) ).

cnf(c_0_210,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) = ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_204,c_0_192]) ).

cnf(c_0_211,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0) = c_2Ebool_2ET,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_160]),c_0_161])]) ).

cnf(c_0_212,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0) = c_2Ebool_2EF
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_213,plain,
    ( X1 != c_2Ebool_2EF
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_152]) ).

cnf(c_0_214,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),X1))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_185,c_0_206]) ).

cnf(c_0_215,negated_conjecture,
    mem(esk2_0,ty_2Eextreal_2Eextreal),
    i_0_57 ).

cnf(c_0_216,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) = c_2Ebool_2ET
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ),
    inference(rw,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_217,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2EF
    | p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)) ),
    inference(spm,[status(thm)],[c_0_212,c_0_186]) ).

cnf(c_0_218,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) != c_2Ebool_2EF
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_213,c_0_192]) ).

cnf(c_0_219,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_220,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)),X2),X1) = ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    i_0_20 ).

cnf(c_0_221,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2EF
    | ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_206]),c_0_186])]) ).

cnf(c_0_222,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X3,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3)) ),
    i_0_51 ).

cnf(c_0_223,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))
    | ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) != c_2Ebool_2EF ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_215]),c_0_206])]) ).

cnf(c_0_224,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
    | ~ ne(X1)
    | ~ mem(X3,X1)
    | ~ mem(X2,X1) ),
    i_0_25 ).

cnf(c_0_225,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),esk4_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)
    | ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_206]),c_0_186])]) ).

cnf(c_0_226,plain,
    ne(ty_2Eextreal_2Eextreal),
    i_0_120 ).

cnf(c_0_227,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))
    | ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) != c_2Ebool_2EF
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_215]),c_0_206])]) ).

cnf(c_0_228,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    i_0_53 ).

cnf(c_0_229,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET
    | ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0) = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_186]),c_0_206]),c_0_226])]) ).

cnf(c_0_230,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0) = c_2Ebool_2EF
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_205,c_0_215]) ).

cnf(c_0_231,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET
    | ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) != c_2Ebool_2EF
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_221]),c_0_186])]),c_0_152]) ).

cnf(c_0_232,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET
    | p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) = c_2Ebool_2EF
    | p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_230,c_0_206]) ).

cnf(c_0_234,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    i_0_117 ).

cnf(c_0_235,negated_conjecture,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    i_0_54 ).

cnf(c_0_236,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET
    | ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) != c_2Ebool_2EF ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_237,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) = c_2Ebool_2EF
    | ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) = c_2Ebool_2ET ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_233]),c_0_215]),c_0_206])]) ).

cnf(c_0_238,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)) ),
    i_0_52 ).

cnf(c_0_239,plain,
    ( mem(ap(c_2Eextreal_2Eextreal__max,X1),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_169,c_0_234]) ).

cnf(c_0_240,negated_conjecture,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_235,c_0_229]) ).

cnf(c_0_241,plain,
    ( ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0) = c_2Ebool_2ET
    | ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_242,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0),ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_238]),c_0_215])]) ).

cnf(c_0_243,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,X1),X2),ty_2Eextreal_2Eextreal)
    | ~ mem(X2,ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal) ),
    inference(spm,[status(thm)],[c_0_169,c_0_239]) ).

cnf(c_0_244,negated_conjecture,
    ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0) = c_2Ebool_2ET,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_161])]),c_0_232]) ).

cnf(c_0_245,negated_conjecture,
    p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_214]),c_0_206])]) ).

cnf(c_0_246,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_206]),c_0_186])]) ).

cnf(c_0_247,plain,
    ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
    | ~ ne(X1)
    | ~ mem(X3,X1)
    | ~ mem(X2,X1) ),
    i_0_26 ).

cnf(c_0_248,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),esk4_0),esk3_0) = ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_244]),c_0_206]),c_0_186])]) ).

cnf(c_0_249,negated_conjecture,
    ( X1 = ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0)
    | ~ mem(X1,bool)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_245]),c_0_206])]) ).

cnf(c_0_250,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0),ty_2Eextreal_2Eextreal)
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_228]),c_0_215])]) ).

cnf(c_0_251,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_246]),c_0_206])]) ).

cnf(c_0_252,plain,
    ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_186]),c_0_206]),c_0_226])]) ).

cnf(c_0_253,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0) = c_2Ebool_2ET,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_160]),c_0_161])]) ).

cnf(c_0_254,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))
    | ~ mem(X1,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_243]),c_0_206]),c_0_186])]) ).

cnf(c_0_255,negated_conjecture,
    p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_161])]) ).

cnf(c_0_256,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_254]),c_0_186])]) ).

cnf(c_0_257,negated_conjecture,
    ~ p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_252])]),c_0_255])]) ).

cnf(c_0_258,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_252]),c_0_244]),c_0_161])]),c_0_257]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ITP021+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Fri Jun  3 21:45:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 20.62/3.99  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 20.62/3.99  # Version: 2.1pre011
% 20.62/3.99  # Preprocessing time       : 0.022 s
% 20.62/3.99  
% 20.62/3.99  # Proof found!
% 20.62/3.99  # SZS status Theorem
% 20.62/3.99  # SZS output start CNFRefutation
% See solution above
% 20.62/3.99  # Proof object total steps             : 138
% 20.62/3.99  # Proof object clause steps            : 109
% 20.62/3.99  # Proof object formula steps           : 29
% 20.62/3.99  # Proof object conjectures             : 37
% 20.62/3.99  # Proof object clause conjectures      : 31
% 20.62/3.99  # Proof object formula conjectures     : 6
% 20.62/3.99  # Proof object initial clauses used    : 29
% 20.62/3.99  # Proof object initial formulas used   : 29
% 20.62/3.99  # Proof object generating inferences   : 73
% 20.62/3.99  # Proof object simplifying inferences  : 110
% 20.62/3.99  # Training examples: 0 positive, 0 negative
% 20.62/3.99  # Parsed axioms                        : 82
% 20.62/3.99  # Removed by relevancy pruning/SinE    : 0
% 20.62/3.99  # Initial clauses                      : 82
% 20.62/3.99  # Removed in clause preprocessing      : 0
% 20.62/3.99  # Initial clauses in saturation        : 82
% 20.62/3.99  # Processed clauses                    : 6381
% 20.62/3.99  # ...of these trivial                  : 33
% 20.62/3.99  # ...subsumed                          : 3848
% 20.62/3.99  # ...remaining for further processing  : 2499
% 20.62/3.99  # Other redundant clauses eliminated   : 9
% 20.62/3.99  # Clauses deleted for lack of memory   : 0
% 20.62/3.99  # Backward-subsumed                    : 176
% 20.62/3.99  # Backward-rewritten                   : 612
% 20.62/3.99  # Generated clauses                    : 65942
% 20.62/3.99  # ...of the previous two non-trivial   : 61040
% 20.62/3.99  # Contextual simplify-reflections      : 2955
% 20.62/3.99  # Paramodulations                      : 65708
% 20.62/3.99  # Factorizations                       : 174
% 20.62/3.99  # Equation resolutions                 : 10
% 20.62/3.99  # Propositional unsat checks           : 0
% 20.62/3.99  # Propositional unsat check successes  : 0
% 20.62/3.99  # Current number of processed clauses  : 1660
% 20.62/3.99  #    Positive orientable unit clauses  : 41
% 20.62/3.99  #    Positive unorientable unit clauses: 0
% 20.62/3.99  #    Negative unit clauses             : 10
% 20.62/3.99  #    Non-unit-clauses                  : 1609
% 20.62/3.99  # Current number of unprocessed clauses: 35975
% 20.62/3.99  # ...number of literals in the above   : 171968
% 20.62/3.99  # Current number of archived formulas  : 0
% 20.62/3.99  # Current number of archived clauses   : 838
% 20.62/3.99  # Clause-clause subsumption calls (NU) : 1148797
% 20.62/3.99  # Rec. Clause-clause subsumption calls : 272552
% 20.62/3.99  # Non-unit clause-clause subsumptions  : 5977
% 20.62/3.99  # Unit Clause-clause subsumption calls : 14189
% 20.62/3.99  # Rewrite failures with RHS unbound    : 0
% 20.62/3.99  # BW rewrite match attempts            : 162
% 20.62/3.99  # BW rewrite match successes           : 22
% 20.62/3.99  # Condensation attempts                : 0
% 20.62/3.99  # Condensation successes               : 0
% 20.62/3.99  # Termbank termtop insertions          : 2051708
% 20.62/3.99  
% 20.62/3.99  # -------------------------------------------------
% 20.62/3.99  # User time                : 1.470 s
% 20.62/3.99  # System time              : 0.038 s
% 20.62/3.99  # Total time               : 1.508 s
% 20.62/3.99  # ...preprocessing         : 0.022 s
% 20.62/3.99  # ...main loop             : 1.487 s
% 20.62/3.99  # Maximum resident set size: 57244 pages
% 20.62/3.99  
%------------------------------------------------------------------------------