↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU441+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:42:34 EDT 2022

% Result   : Theorem 8.19s 2.46s
% Output   : CNFRefutation 8.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   76 (  14 unt;   0 nHn;  72 RR)
%            Number of literals    :  163 (  29 equ;  96 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-5 aty)
%            Number of variables   :  164 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_18) ).

cnf(i_0_61,plain,
    ( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_61) ).

cnf(i_0_6,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_6) ).

cnf(i_0_23,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_23) ).

cnf(i_0_20,plain,
    ( m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_20) ).

cnf(i_0_62,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_62) ).

cnf(i_0_47,plain,
    ( k4_relat_1(k4_relat_1(X1)) = X1
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_47) ).

cnf(i_0_64,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_64) ).

cnf(i_0_75,plain,
    ( k10_relset_1(X1,X2,X3,X1) = k2_funct_5(X3)
    | ~ m2_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_75) ).

cnf(i_0_59,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_59) ).

cnf(i_0_63,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_63) ).

cnf(i_0_3,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_3) ).

cnf(i_0_2,negated_conjecture,
    m2_relset_1(esk5_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_2) ).

cnf(i_0_1,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_1) ).

cnf(i_0_67,plain,
    ( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_67) ).

cnf(i_0_66,plain,
    ( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_66) ).

cnf(i_0_17,plain,
    ( m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_17) ).

cnf(i_0_60,plain,
    ( k5_relset_1(X1,X2,X3) = k2_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_60) ).

cnf(i_0_69,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_69) ).

cnf(i_0_73,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e6flncc1/lgb.p',i_0_73) ).

cnf(c_0_96,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_18 ).

cnf(c_0_97,plain,
    ( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_61 ).

cnf(c_0_98,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_6 ).

cnf(c_0_99,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_23 ).

cnf(c_0_100,plain,
    ( m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_20 ).

cnf(c_0_101,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_62 ).

cnf(c_0_102,plain,
    ( m2_relset_1(k4_relat_1(X1),X2,X3)
    | ~ m1_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,plain,
    ( k4_relat_1(k4_relat_1(X1)) = X1
    | ~ v1_relat_1(X1) ),
    i_0_47 ).

cnf(c_0_104,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,plain,
    ( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_106,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(k4_relat_1(X1),X3,X2)
    | ~ v1_relat_1(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_107,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_64 ).

cnf(c_0_108,plain,
    ( v1_relat_1(k4_relat_1(X1))
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_102]) ).

cnf(c_0_109,plain,
    ( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
    | ~ m2_relset_1(X2,X5,X4) ),
    inference(spm,[status(thm)],[c_0_105,c_0_99]) ).

cnf(c_0_110,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ v1_relat_1(X1)
    | ~ m2_relset_1(k4_relat_1(X1),X3,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,plain,
    ( v1_relat_1(k4_relat_1(X1))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_108,c_0_107]) ).

cnf(c_0_112,plain,
    ( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
    | ~ m2_relset_1(X2,X5,X4)
    | ~ m2_relset_1(X1,X3,X5) ),
    inference(spm,[status(thm)],[c_0_109,c_0_99]) ).

cnf(c_0_113,plain,
    ( m2_relset_1(k4_relat_1(X1),X2,X3)
    | ~ m2_relset_1(X1,X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_103]),c_0_104]),c_0_111]) ).

cnf(c_0_114,plain,
    ( k10_relset_1(X1,X2,X3,X1) = k2_funct_5(X3)
    | ~ m2_relset_1(X3,X1,X2) ),
    i_0_75 ).

cnf(c_0_115,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_59 ).

cnf(c_0_116,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    i_0_63 ).

cnf(c_0_117,plain,
    ( m2_relset_1(k5_relat_1(X1,k4_relat_1(X2)),X3,X4)
    | ~ m2_relset_1(X1,X3,X5)
    | ~ m2_relset_1(X2,X4,X5) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_118,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,esk2_0),
    i_0_3 ).

cnf(c_0_119,plain,
    ( k9_relat_1(X1,X2) = k2_funct_5(X1)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).

cnf(c_0_120,negated_conjecture,
    ( m2_relset_1(k5_relat_1(esk4_0,k4_relat_1(X1)),esk1_0,X2)
    | ~ m2_relset_1(X1,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_121,plain,
    ( k9_relat_1(X1,X2) = k2_funct_5(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_119,c_0_107]) ).

cnf(c_0_122,plain,
    ( m2_relset_1(k5_relat_1(esk4_0,X1),esk1_0,X2)
    | ~ v1_relat_1(X1)
    | ~ m2_relset_1(k4_relat_1(X1),X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_103]) ).

cnf(c_0_123,plain,
    ( k9_relat_1(k5_relat_1(esk4_0,X1),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,X1))
    | ~ v1_relat_1(X1)
    | ~ m2_relset_1(k4_relat_1(X1),X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_124,plain,
    ( k9_relat_1(k5_relat_1(esk4_0,X1),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,X1))
    | ~ m2_relset_1(X1,esk2_0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_113]),c_0_104]) ).

cnf(c_0_125,negated_conjecture,
    m2_relset_1(esk5_0,esk2_0,esk3_0),
    i_0_2 ).

cnf(c_0_126,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    i_0_1 ).

cnf(c_0_127,plain,
    ( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_67 ).

cnf(c_0_128,negated_conjecture,
    k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    k9_relat_1(esk4_0,esk1_0) = k2_funct_5(esk4_0),
    inference(spm,[status(thm)],[c_0_121,c_0_118]) ).

cnf(c_0_130,negated_conjecture,
    v1_relat_1(esk5_0),
    inference(spm,[status(thm)],[c_0_104,c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    v1_relat_1(esk4_0),
    inference(spm,[status(thm)],[c_0_104,c_0_118]) ).

cnf(c_0_132,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_funct_5(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_126,c_0_101]) ).

cnf(c_0_133,plain,
    k2_funct_5(k5_relat_1(esk4_0,esk5_0)) = k9_relat_1(esk5_0,k2_funct_5(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]),c_0_131])]) ).

cnf(c_0_134,plain,
    ( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(X2,X3) ),
    i_0_66 ).

cnf(c_0_135,negated_conjecture,
    k9_relat_1(esk5_0,esk2_0) = k2_funct_5(esk5_0),
    inference(spm,[status(thm)],[c_0_121,c_0_125]) ).

cnf(c_0_136,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k9_relat_1(esk5_0,k2_funct_5(esk4_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k9_relat_1(esk5_0,k2_funct_5(esk4_0)),k2_funct_5(esk5_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133]),c_0_133]) ).

cnf(c_0_137,plain,
    ( r1_tarski(k9_relat_1(esk5_0,X1),k2_funct_5(esk5_0))
    | ~ r1_tarski(X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_130])]) ).

cnf(c_0_138,plain,
    ( m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_17 ).

cnf(c_0_139,plain,
    ( k5_relset_1(X1,X2,X3) = k2_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_60 ).

cnf(c_0_140,plain,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k9_relat_1(esk5_0,k2_funct_5(esk4_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k2_funct_5(esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_141,plain,
    ( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_142,plain,
    ( ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k2_funct_5(esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_115]) ).

cnf(c_0_143,plain,
    ( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
    | ~ m2_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_107]) ).

cnf(c_0_144,plain,
    ( ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ r1_tarski(k2_funct_5(esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_99]),c_0_118])]) ).

cnf(c_0_145,negated_conjecture,
    m1_subset_1(k2_relat_1(esk4_0),k1_zfmisc_1(esk2_0)),
    inference(spm,[status(thm)],[c_0_143,c_0_118]) ).

cnf(c_0_146,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_69 ).

cnf(c_0_147,plain,
    ( ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
    | ~ r1_tarski(k2_funct_5(esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_99]),c_0_125])]) ).

cnf(c_0_148,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_73 ).

cnf(c_0_149,plain,
    m1_subset_1(k2_funct_5(esk4_0),k1_zfmisc_1(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_131])]) ).

cnf(c_0_150,plain,
    ~ m1_relset_1(esk5_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).

cnf(c_0_151,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_107]),c_0_125])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU441+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 01:15:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.19/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.19/2.46  # No SInE strategy applied
% 8.19/2.46  # Trying AutoSched0 for 150 seconds
% 8.19/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.19/2.46  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.19/2.46  #
% 8.19/2.46  # Preprocessing time       : 0.024 s
% 8.19/2.46  # Presaturation interreduction done
% 8.19/2.46  
% 8.19/2.46  # Proof found!
% 8.19/2.46  # SZS status Theorem
% 8.19/2.46  # SZS output start CNFRefutation
% See solution above
% 8.19/2.46  # Training examples: 0 positive, 0 negative
% 8.19/2.46  
% 8.19/2.46  # -------------------------------------------------
% 8.19/2.46  # User time                : 0.096 s
% 8.19/2.46  # System time              : 0.010 s
% 8.19/2.46  # Total time               : 0.106 s
% 8.19/2.46  # Maximum resident set size: 7128 pages
% 8.19/2.46  
%------------------------------------------------------------------------------