TSTP Solution File: SWC336+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC336+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 20:15:03 EDT 2022

% Result   : Theorem 8.15s 2.54s
% Output   : CNFRefutation 8.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   46 (  17 unt;  15 nHn;  46 RR)
%            Number of literals    :   90 (  36 equ;  34 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( ~ totalorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_191) ).

cnf(i_0_206,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_206) ).

cnf(i_0_207,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_207) ).

cnf(i_0_121,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_121) ).

cnf(i_0_198,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_198) ).

cnf(i_0_204,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_204) ).

cnf(i_0_149,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_149) ).

cnf(i_0_210,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_210) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_53) ).

cnf(i_0_199,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_199) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_44) ).

cnf(i_0_205,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_205) ).

cnf(i_0_196,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_196) ).

cnf(i_0_209,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_209) ).

cnf(i_0_202,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_202) ).

cnf(i_0_200,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_200) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_110) ).

cnf(i_0_122,plain,
    totalorderedP(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2n1z9fbe/lgb.p',i_0_122) ).

cnf(c_0_229,negated_conjecture,
    ( ~ totalorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_230,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_206 ).

cnf(c_0_231,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_207 ).

cnf(c_0_232,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_121 ).

cnf(c_0_233,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_198 ).

cnf(c_0_234,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk52_0) ),
    i_0_204 ).

cnf(c_0_235,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_236,negated_conjecture,
    ssList(esk49_0),
    i_0_210 ).

cnf(c_0_237,negated_conjecture,
    ( ~ segmentP(esk51_0,esk50_0)
    | ~ totalorderedP(esk50_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_230]) ).

cnf(c_0_238,negated_conjecture,
    ( esk50_0 = nil
    | totalorderedP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).

cnf(c_0_239,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_240,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_199 ).

cnf(c_0_241,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_242,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    i_0_205 ).

cnf(c_0_243,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_235]) ).

cnf(c_0_244,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    i_0_196 ).

cnf(c_0_245,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_236,c_0_231]) ).

cnf(c_0_246,negated_conjecture,
    ssList(esk50_0),
    i_0_209 ).

cnf(c_0_247,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    i_0_202 ).

cnf(c_0_248,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    i_0_200 ).

cnf(c_0_249,negated_conjecture,
    ( esk50_0 = nil
    | ~ segmentP(esk51_0,esk50_0) ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_250,negated_conjecture,
    ( esk51_0 = nil
    | esk50_0 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241])]),c_0_242]) ).

cnf(c_0_251,negated_conjecture,
    esk50_0 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_246])]),c_0_247]),c_0_248]),c_0_249]) ).

cnf(c_0_252,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_253,plain,
    totalorderedP(nil),
    i_0_122 ).

cnf(c_0_254,negated_conjecture,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]) ).

cnf(c_0_255,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_252]),c_0_241])]) ).

cnf(c_0_256,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_251]),c_0_251]),c_0_253])]),c_0_254]),c_0_255])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC336+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 12 07:58:50 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
% 8.15/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.15/2.54  # No SInE strategy applied
% 8.15/2.54  # Trying AutoSched0 for 150 seconds
% 8.15/2.54  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.15/2.54  # and selection function SelectNewComplexAHP.
% 8.15/2.54  #
% 8.15/2.54  # Preprocessing time       : 0.024 s
% 8.15/2.54  # Presaturation interreduction done
% 8.15/2.54  
% 8.15/2.54  # Proof found!
% 8.15/2.54  # SZS status Theorem
% 8.15/2.54  # SZS output start CNFRefutation
% See solution above
% 8.15/2.54  # Training examples: 0 positive, 0 negative
% 8.15/2.54  
% 8.15/2.54  # -------------------------------------------------
% 8.15/2.54  # User time                : 0.035 s
% 8.15/2.54  # System time              : 0.007 s
% 8.15/2.54  # Total time               : 0.042 s
% 8.15/2.54  # Maximum resident set size: 7128 pages
% 8.15/2.54  
%------------------------------------------------------------------------------