TSTP Solution File: SWC071+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC071+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 20:13:25 EDT 2022

% Result   : Theorem 5.88s 2.34s
% Output   : CNFRefutation 5.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   44 (  18 unt;  12 nHn;  44 RR)
%            Number of literals    :   93 (  32 equ;  48 neg)
%            Maximal clause size   :    6 (   2 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   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_205,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_205) ).

cnf(i_0_208,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_208) ).

cnf(i_0_207,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_207) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_53) ).

cnf(i_0_198,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_198) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_44) ).

cnf(i_0_204,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/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/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_149) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_195) ).

cnf(i_0_211,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_211) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_199) ).

cnf(i_0_201,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_201) ).

cnf(i_0_206,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_206) ).

cnf(i_0_210,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_210) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_107) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4s6x88vh/lgb.p',i_0_41) ).

cnf(c_0_228,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_205 ).

cnf(c_0_229,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_208 ).

cnf(c_0_230,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_207 ).

cnf(c_0_231,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_232,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_198 ).

cnf(c_0_233,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_234,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    i_0_204 ).

cnf(c_0_235,negated_conjecture,
    ( esk51_0 != nil
    | esk50_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_236,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_237,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    i_0_195 ).

cnf(c_0_238,plain,
    esk50_0 != nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]),c_0_234]),c_0_235]) ).

cnf(c_0_239,negated_conjecture,
    ssList(esk49_0),
    i_0_211 ).

cnf(c_0_240,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    i_0_199 ).

cnf(c_0_241,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    i_0_201 ).

cnf(c_0_242,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_206 ).

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_236]) ).

cnf(c_0_244,negated_conjecture,
    app(app(esk53_0,esk50_0),esk54_0) = esk51_0,
    inference(sr,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_245,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_239,c_0_229]) ).

cnf(c_0_246,negated_conjecture,
    ssList(esk54_0),
    inference(sr,[status(thm)],[c_0_240,c_0_238]) ).

cnf(c_0_247,negated_conjecture,
    ssList(esk53_0),
    inference(sr,[status(thm)],[c_0_241,c_0_238]) ).

cnf(c_0_248,negated_conjecture,
    ssList(esk50_0),
    i_0_210 ).

cnf(c_0_249,negated_conjecture,
    ( ~ segmentP(esk51_0,X1)
    | ~ segmentP(esk50_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_229]),c_0_230]) ).

cnf(c_0_250,plain,
    segmentP(esk51_0,esk50_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_243,c_0_244]),c_0_245]),c_0_246]),c_0_247]),c_0_248])]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ segmentP(esk50_0,esk50_0)
    | ~ neq(esk50_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_248])]) ).

cnf(c_0_252,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_253,plain,
    ~ neq(esk50_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_248])]) ).

cnf(c_0_254,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_255,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_233]),c_0_248])]),c_0_238]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC071+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.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 11:04:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 5.88/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 5.88/2.34  # No SInE strategy applied
% 5.88/2.34  # Trying AutoSched0 for 150 seconds
% 5.88/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 5.88/2.34  # and selection function SelectNewComplexAHP.
% 5.88/2.34  #
% 5.88/2.34  # Preprocessing time       : 0.024 s
% 5.88/2.34  # Presaturation interreduction done
% 5.88/2.34  
% 5.88/2.34  # Proof found!
% 5.88/2.34  # SZS status Theorem
% 5.88/2.34  # SZS output start CNFRefutation
% See solution above
% 5.88/2.34  # Training examples: 0 positive, 0 negative
% 5.88/2.34  
% 5.88/2.34  # -------------------------------------------------
% 5.88/2.34  # User time                : 0.034 s
% 5.88/2.34  # System time              : 0.004 s
% 5.88/2.34  # Total time               : 0.038 s
% 5.88/2.34  # Maximum resident set size: 7124 pages
% 5.88/2.34  
%------------------------------------------------------------------------------