TSTP Solution File: SWC112+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 20:13:42 EDT 2022

% Result   : Theorem 7.54s 2.42s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   43 (  24 unt;   2 nHn;  43 RR)
%            Number of literals    :   83 (  30 equ;  42 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-97ra5u32/lgb.p',i_0_149) ).

cnf(i_0_199,negated_conjecture,
    app(app(esk52_0,esk50_0),esk53_0) = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_199) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_203) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_205) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_206) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_200) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_201) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_195) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_44) ).

cnf(i_0_191,negated_conjecture,
    ( nil != esk48_0
    | ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_191) ).

cnf(i_0_111,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_111) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-97ra5u32/lgb.p',i_0_192) ).

cnf(c_0_222,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_223,negated_conjecture,
    app(app(esk52_0,esk50_0),esk53_0) = esk51_0,
    i_0_199 ).

cnf(c_0_224,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_225,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_203 ).

cnf(c_0_226,negated_conjecture,
    ssList(esk50_0),
    i_0_205 ).

cnf(c_0_227,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_222]) ).

cnf(c_0_228,negated_conjecture,
    app(app(esk52_0,esk48_0),esk53_0) = esk49_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).

cnf(c_0_229,negated_conjecture,
    ssList(esk49_0),
    i_0_206 ).

cnf(c_0_230,negated_conjecture,
    ssList(esk53_0),
    i_0_200 ).

cnf(c_0_231,negated_conjecture,
    ssList(esk52_0),
    i_0_201 ).

cnf(c_0_232,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_226,c_0_224]) ).

cnf(c_0_233,negated_conjecture,
    ( nil = esk49_0
    | ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_193 ).

cnf(c_0_234,negated_conjecture,
    segmentP(esk49_0,esk48_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_227,c_0_228]),c_0_229]),c_0_230]),c_0_231]),c_0_232])]) ).

cnf(c_0_235,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    i_0_195 ).

cnf(c_0_236,negated_conjecture,
    ( esk49_0 = nil
    | ~ neq(esk48_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]) ).

cnf(c_0_237,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_238,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_239,negated_conjecture,
    ( esk49_0 = nil
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_225]),c_0_224]) ).

cnf(c_0_240,plain,
    esk49_0 = nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_232])]),c_0_239]) ).

cnf(c_0_241,negated_conjecture,
    ( nil != esk48_0
    | ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_242,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    i_0_111 ).

cnf(c_0_243,negated_conjecture,
    segmentP(nil,esk48_0),
    inference(rw,[status(thm)],[c_0_234,c_0_240]) ).

cnf(c_0_244,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_245,negated_conjecture,
    ( esk48_0 != nil
    | ~ neq(esk48_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_234])]) ).

cnf(c_0_246,plain,
    esk48_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_232])]) ).

cnf(c_0_247,negated_conjecture,
    ( neq(nil,nil)
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[c_0_244,c_0_240]) ).

cnf(c_0_248,negated_conjecture,
    ~ neq(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_246])]) ).

cnf(c_0_249,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_246])]),c_0_248]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 15:39:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.54/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.54/2.42  # No SInE strategy applied
% 7.54/2.42  # Trying AutoSched0 for 150 seconds
% 7.54/2.42  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.54/2.42  # and selection function SelectNewComplexAHP.
% 7.54/2.42  #
% 7.54/2.42  # Preprocessing time       : 0.024 s
% 7.54/2.42  # Presaturation interreduction done
% 7.54/2.42  
% 7.54/2.42  # Proof found!
% 7.54/2.42  # SZS status Theorem
% 7.54/2.42  # SZS output start CNFRefutation
% See solution above
% 7.54/2.42  # Training examples: 0 positive, 0 negative
% 7.54/2.42  
% 7.54/2.42  # -------------------------------------------------
% 7.54/2.42  # User time                : 0.037 s
% 7.54/2.42  # System time              : 0.004 s
% 7.54/2.42  # Total time               : 0.041 s
% 7.54/2.42  # Maximum resident set size: 7124 pages
% 7.54/2.42  
%------------------------------------------------------------------------------