TSTP Solution File: SEU261+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU261+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 08:40:11 EDT 2022

% Result   : Theorem 7.60s 2.53s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   54 (  18 unt;   0 nHn;  54 RR)
%            Number of literals    :  137 (   0 equ;  94 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_580,lemma,
    ( epred1_2(X1,X2)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ relation_isomorphism(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_580) ).

cnf(i_0_597,negated_conjecture,
    relation_isomorphism(esk118_0,esk119_0,esk120_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_597) ).

cnf(i_0_600,negated_conjecture,
    relation(esk120_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_600) ).

cnf(i_0_602,negated_conjecture,
    relation(esk118_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_602) ).

cnf(i_0_601,negated_conjecture,
    relation(esk119_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_601) ).

cnf(i_0_599,negated_conjecture,
    function(esk120_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_599) ).

cnf(i_0_665,plain,
    ( well_founded_relation(X1)
    | ~ well_founded_relation(X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_665) ).

cnf(i_0_185,plain,
    ( well_ordering(X1)
    | ~ relation(X1)
    | ~ antisymmetric(X1)
    | ~ connected(X1)
    | ~ transitive(X1)
    | ~ well_founded_relation(X1)
    | ~ reflexive(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_185) ).

cnf(i_0_596,negated_conjecture,
    ~ well_ordering(esk119_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_596) ).

cnf(i_0_186,plain,
    ( well_founded_relation(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_186) ).

cnf(i_0_598,negated_conjecture,
    well_ordering(esk118_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_598) ).

cnf(i_0_666,plain,
    ( antisymmetric(X1)
    | ~ antisymmetric(X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_666) ).

cnf(i_0_188,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_188) ).

cnf(i_0_667,plain,
    ( connected(X1)
    | ~ connected(X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_667) ).

cnf(i_0_187,plain,
    ( connected(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_187) ).

cnf(i_0_668,plain,
    ( transitive(X1)
    | ~ transitive(X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_668) ).

cnf(i_0_189,plain,
    ( transitive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_189) ).

cnf(i_0_669,plain,
    ( reflexive(X1)
    | ~ reflexive(X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_669) ).

cnf(i_0_190,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qrilzzwg/lgb.p',i_0_190) ).

cnf(c_0_689,lemma,
    ( epred1_2(X1,X2)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ relation_isomorphism(X2,X1,X3) ),
    i_0_580 ).

cnf(c_0_690,negated_conjecture,
    relation_isomorphism(esk118_0,esk119_0,esk120_0),
    i_0_597 ).

cnf(c_0_691,negated_conjecture,
    relation(esk120_0),
    i_0_600 ).

cnf(c_0_692,negated_conjecture,
    relation(esk118_0),
    i_0_602 ).

cnf(c_0_693,negated_conjecture,
    relation(esk119_0),
    i_0_601 ).

cnf(c_0_694,negated_conjecture,
    function(esk120_0),
    i_0_599 ).

cnf(c_0_695,plain,
    ( well_founded_relation(X1)
    | ~ well_founded_relation(X2)
    | ~ epred1_2(X1,X2) ),
    i_0_665 ).

cnf(c_0_696,negated_conjecture,
    epred1_2(esk119_0,esk118_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_690]),c_0_691]),c_0_692]),c_0_693]),c_0_694])]) ).

cnf(c_0_697,plain,
    ( well_ordering(X1)
    | ~ relation(X1)
    | ~ antisymmetric(X1)
    | ~ connected(X1)
    | ~ transitive(X1)
    | ~ well_founded_relation(X1)
    | ~ reflexive(X1) ),
    i_0_185 ).

cnf(c_0_698,plain,
    ( well_founded_relation(esk119_0)
    | ~ well_founded_relation(esk118_0) ),
    inference(spm,[status(thm)],[c_0_695,c_0_696]) ).

cnf(c_0_699,negated_conjecture,
    ~ well_ordering(esk119_0),
    i_0_596 ).

cnf(c_0_700,plain,
    ( ~ well_founded_relation(esk118_0)
    | ~ antisymmetric(esk119_0)
    | ~ connected(esk119_0)
    | ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_693])]),c_0_699]) ).

cnf(c_0_701,plain,
    ( well_founded_relation(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_186 ).

cnf(c_0_702,negated_conjecture,
    well_ordering(esk118_0),
    i_0_598 ).

cnf(c_0_703,plain,
    ( antisymmetric(X1)
    | ~ antisymmetric(X2)
    | ~ epred1_2(X1,X2) ),
    i_0_666 ).

cnf(c_0_704,plain,
    ( ~ antisymmetric(esk119_0)
    | ~ connected(esk119_0)
    | ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_701]),c_0_702]),c_0_692])]) ).

cnf(c_0_705,plain,
    ( antisymmetric(esk119_0)
    | ~ antisymmetric(esk118_0) ),
    inference(spm,[status(thm)],[c_0_703,c_0_696]) ).

cnf(c_0_706,plain,
    ( ~ antisymmetric(esk118_0)
    | ~ connected(esk119_0)
    | ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(spm,[status(thm)],[c_0_704,c_0_705]) ).

cnf(c_0_707,plain,
    ( antisymmetric(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_188 ).

cnf(c_0_708,plain,
    ( connected(X1)
    | ~ connected(X2)
    | ~ epred1_2(X1,X2) ),
    i_0_667 ).

cnf(c_0_709,plain,
    ( ~ connected(esk119_0)
    | ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_707]),c_0_702]),c_0_692])]) ).

cnf(c_0_710,plain,
    ( connected(esk119_0)
    | ~ connected(esk118_0) ),
    inference(spm,[status(thm)],[c_0_708,c_0_696]) ).

cnf(c_0_711,plain,
    ( ~ connected(esk118_0)
    | ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_712,plain,
    ( connected(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_187 ).

cnf(c_0_713,plain,
    ( transitive(X1)
    | ~ transitive(X2)
    | ~ epred1_2(X1,X2) ),
    i_0_668 ).

cnf(c_0_714,plain,
    ( ~ transitive(esk119_0)
    | ~ reflexive(esk119_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_702]),c_0_692])]) ).

cnf(c_0_715,plain,
    ( transitive(esk119_0)
    | ~ transitive(esk118_0) ),
    inference(spm,[status(thm)],[c_0_713,c_0_696]) ).

cnf(c_0_716,plain,
    ( ~ transitive(esk118_0)
    | ~ reflexive(esk119_0) ),
    inference(spm,[status(thm)],[c_0_714,c_0_715]) ).

cnf(c_0_717,plain,
    ( transitive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_189 ).

cnf(c_0_718,plain,
    ( reflexive(X1)
    | ~ reflexive(X2)
    | ~ epred1_2(X1,X2) ),
    i_0_669 ).

cnf(c_0_719,plain,
    ~ reflexive(esk119_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_717]),c_0_702]),c_0_692])]) ).

cnf(c_0_720,plain,
    ( reflexive(esk119_0)
    | ~ reflexive(esk118_0) ),
    inference(spm,[status(thm)],[c_0_718,c_0_696]) ).

cnf(c_0_721,plain,
    ~ reflexive(esk118_0),
    inference(spm,[status(thm)],[c_0_719,c_0_720]) ).

cnf(c_0_722,plain,
    ( reflexive(X1)
    | ~ relation(X1)
    | ~ well_ordering(X1) ),
    i_0_190 ).

cnf(c_0_723,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_722]),c_0_702]),c_0_692])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU261+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 14:10:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.60/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.60/2.53  # No SInE strategy applied
% 7.60/2.53  # Trying AutoSched0 for 150 seconds
% 7.60/2.53  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.60/2.53  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.60/2.53  #
% 7.60/2.53  # Preprocessing time       : 0.025 s
% 7.60/2.53  
% 7.60/2.53  # Proof found!
% 7.60/2.53  # SZS status Theorem
% 7.60/2.53  # SZS output start CNFRefutation
% See solution above
% 7.60/2.53  # Training examples: 0 positive, 0 negative
% 7.60/2.53  
% 7.60/2.53  # -------------------------------------------------
% 7.60/2.53  # User time                : 0.034 s
% 7.60/2.53  # System time              : 0.007 s
% 7.60/2.53  # Total time               : 0.041 s
% 7.60/2.53  # Maximum resident set size: 7128 pages
% 7.60/2.53  
%------------------------------------------------------------------------------