TSTP Solution File: SWC210+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 20:14:18 EDT 2022

% Result   : Theorem 7.76s 2.37s
% Output   : CNFRefutation 7.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   29 (  17 unt;   2 nHn;  29 RR)
%            Number of literals    :   51 (  12 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_198) ).

cnf(i_0_196,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_196) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_200) ).

cnf(i_0_99,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_99) ).

cnf(i_0_100,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_100) ).

cnf(i_0_191,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_191) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_45) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_44) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qbkhkta/lgb.p',i_0_41) ).

cnf(c_0_212,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_213,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_214,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_215,negated_conjecture,
    neq(esk49_0,nil),
    i_0_196 ).

cnf(c_0_216,negated_conjecture,
    ssList(esk50_0),
    i_0_200 ).

cnf(c_0_217,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_99 ).

cnf(c_0_218,negated_conjecture,
    singletonP(esk48_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_215])]) ).

cnf(c_0_219,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_216,c_0_213]) ).

cnf(c_0_220,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_100 ).

cnf(c_0_221,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_222,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_223,negated_conjecture,
    cons(esk31_1(esk48_0),nil) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).

cnf(c_0_224,negated_conjecture,
    ssItem(esk31_1(esk48_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_218]),c_0_219])]) ).

cnf(c_0_225,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_226,negated_conjecture,
    ~ neq(esk48_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_214]),c_0_215])]) ).

cnf(c_0_227,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_228,plain,
    esk48_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225])]) ).

cnf(c_0_229,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_225]),c_0_219])]),c_0_228]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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 12 11:05:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected SinE mode:
% 0.20/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.76/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.76/2.37  # No SInE strategy applied
% 7.76/2.37  # Trying AutoSched0 for 150 seconds
% 7.76/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01BI
% 7.76/2.37  # and selection function PSelectMinOptimalNoXTypePred.
% 7.76/2.37  #
% 7.76/2.37  # Preprocessing time       : 0.023 s
% 7.76/2.37  # Presaturation interreduction done
% 7.76/2.37  
% 7.76/2.37  # Proof found!
% 7.76/2.37  # SZS status Theorem
% 7.76/2.37  # SZS output start CNFRefutation
% See solution above
% 7.76/2.37  # Training examples: 0 positive, 0 negative
% 7.76/2.37  
% 7.76/2.37  # -------------------------------------------------
% 7.76/2.37  # User time                : 0.025 s
% 7.76/2.37  # System time              : 0.006 s
% 7.76/2.37  # Total time               : 0.031 s
% 7.76/2.37  # Maximum resident set size: 7124 pages
% 7.76/2.37  
%------------------------------------------------------------------------------