TSTP Solution File: SWC279+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC279+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 20:14:43 EDT 2022

% Result   : Theorem 7.54s 2.76s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   31 (  15 unt;   2 nHn;  31 RR)
%            Number of literals    :   79 (  10 equ;  49 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_200) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_202) ).

cnf(i_0_196,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_196) ).

cnf(i_0_199,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_199) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_198) ).

cnf(i_0_201,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,nil)),X4) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_201) ).

cnf(i_0_191,negated_conjecture,
    ( ~ leq(esk52_0,esk55_0)
    | ~ leq(esk55_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_191) ).

cnf(i_0_195,negated_conjecture,
    ssItem(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_195) ).

cnf(i_0_193,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | ~ leq(esk52_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_193) ).

cnf(i_0_192,negated_conjecture,
    ( memberP(esk54_0,esk55_0)
    | ~ leq(esk55_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_192) ).

cnf(i_0_194,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k_d1pgqj/lgb.p',i_0_194) ).

cnf(c_0_215,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    i_0_200 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_217,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk48_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ memberP(X3,X1) ),
    inference(rw,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_218,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    i_0_196 ).

cnf(c_0_219,negated_conjecture,
    ssItem(esk52_0),
    i_0_199 ).

cnf(c_0_220,negated_conjecture,
    ssList(esk54_0),
    i_0_197 ).

cnf(c_0_221,negated_conjecture,
    ssList(esk53_0),
    i_0_198 ).

cnf(c_0_222,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,nil)),X4) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X4,X2) ),
    i_0_201 ).

cnf(c_0_223,negated_conjecture,
    ( ~ leq(esk52_0,esk55_0)
    | ~ leq(esk55_0,esk52_0) ),
    i_0_191 ).

cnf(c_0_224,negated_conjecture,
    ( leq(X1,esk52_0)
    | ~ ssItem(X1)
    | ~ memberP(esk53_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_220]),c_0_221])]) ).

cnf(c_0_225,negated_conjecture,
    ssItem(esk55_0),
    i_0_195 ).

cnf(c_0_226,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | ~ leq(esk52_0,esk55_0) ),
    i_0_193 ).

cnf(c_0_227,negated_conjecture,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,nil)),X4) != esk48_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ memberP(X4,X2) ),
    inference(rw,[status(thm)],[c_0_222,c_0_216]) ).

cnf(c_0_228,negated_conjecture,
    ( memberP(esk54_0,esk55_0)
    | ~ leq(esk55_0,esk52_0) ),
    i_0_192 ).

cnf(c_0_229,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    i_0_194 ).

cnf(c_0_230,negated_conjecture,
    ~ leq(esk52_0,esk55_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225])]),c_0_226]) ).

cnf(c_0_231,negated_conjecture,
    ( leq(esk52_0,X1)
    | ~ ssItem(X1)
    | ~ memberP(esk54_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_218]),c_0_219]),c_0_220]),c_0_221])]) ).

cnf(c_0_232,negated_conjecture,
    memberP(esk54_0,esk55_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_224]),c_0_225])]),c_0_229]) ).

cnf(c_0_233,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_225]),c_0_232])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC279+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 11 21:47:22 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.45  # ENIGMATIC: Selected SinE mode:
% 0.21/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.54/2.76  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.54/2.76  # No SInE strategy applied
% 7.54/2.76  # Trying AutoSched0 for 150 seconds
% 7.54/2.76  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.54/2.76  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.54/2.76  #
% 7.54/2.76  # Preprocessing time       : 0.013 s
% 7.54/2.76  
% 7.54/2.76  # Proof found!
% 7.54/2.76  # SZS status Theorem
% 7.54/2.76  # SZS output start CNFRefutation
% See solution above
% 7.54/2.76  # Training examples: 0 positive, 0 negative
% 7.54/2.76  
% 7.54/2.76  # -------------------------------------------------
% 7.54/2.76  # User time                : 0.012 s
% 7.54/2.76  # System time              : 0.006 s
% 7.54/2.76  # Total time               : 0.018 s
% 7.54/2.76  # Maximum resident set size: 7124 pages
% 7.54/2.76  
%------------------------------------------------------------------------------