TSTP Solution File: SWC325+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC325+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 20:14:59 EDT 2022

% Result   : Theorem 6.85s 2.54s
% Output   : CNFRefutation 6.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   35 (  15 unt;   2 nHn;  35 RR)
%            Number of literals    :   73 (  31 equ;  42 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_196,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(X2,X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_198) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_197) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_156) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_44) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_195) ).

cnf(i_0_191,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_191) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_41) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_199) ).

cnf(i_0_193,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_193) ).

cnf(i_0_194,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_194) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_43) ).

cnf(i_0_192,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kjjbh088/lgb.p',i_0_192) ).

cnf(c_0_213,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(X2,X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_196 ).

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

cnf(c_0_215,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_216,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_217,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_218,negated_conjecture,
    ( app(X1,X2) != esk51_0
    | app(X2,X1) != esk50_0
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).

cnf(c_0_219,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_216])]),c_0_217])]) ).

cnf(c_0_220,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_195 ).

cnf(c_0_221,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_222,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_223,negated_conjecture,
    ssList(esk51_0),
    i_0_199 ).

cnf(c_0_224,plain,
    esk51_0 != nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_219]),c_0_217])]),c_0_220]) ).

cnf(c_0_225,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    app(esk53_0,cons(esk52_0,nil)) = esk51_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_217]),c_0_223])]),c_0_224]) ).

cnf(c_0_227,negated_conjecture,
    ssList(esk53_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_222]),c_0_217]),c_0_223])]),c_0_224]) ).

cnf(c_0_228,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_194 ).

cnf(c_0_229,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) != esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_226]),c_0_227])]) ).

cnf(c_0_230,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_231,negated_conjecture,
    ssItem(esk52_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_222]),c_0_217]),c_0_223])]),c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_233,plain,
    app(cons(esk52_0,nil),esk53_0) != esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_217]),c_0_231])]) ).

cnf(c_0_234,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_222]),c_0_217]),c_0_223])]),c_0_233]),c_0_224]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC325+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 15:16:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.43  # ENIGMATIC: Selected SinE mode:
% 0.21/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.85/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.85/2.54  # No SInE strategy applied
% 6.85/2.54  # Trying AutoSched0 for 150 seconds
% 6.85/2.54  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 6.85/2.54  # and selection function SelectNewComplexAHP.
% 6.85/2.54  #
% 6.85/2.54  # Preprocessing time       : 0.012 s
% 6.85/2.54  # Presaturation interreduction done
% 6.85/2.54  
% 6.85/2.54  # Proof found!
% 6.85/2.54  # SZS status Theorem
% 6.85/2.54  # SZS output start CNFRefutation
% See solution above
% 6.85/2.54  # Training examples: 0 positive, 0 negative
% 6.85/2.54  
% 6.85/2.54  # -------------------------------------------------
% 6.85/2.54  # User time                : 0.016 s
% 6.85/2.54  # System time              : 0.003 s
% 6.85/2.54  # Total time               : 0.019 s
% 6.85/2.54  # Maximum resident set size: 7124 pages
% 6.85/2.54  
%------------------------------------------------------------------------------