TSTP Solution File: SWC368+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 20:15:15 EDT 2022

% Result   : Theorem 18.13s 3.80s
% Output   : CNFRefutation 18.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   55 (  18 unt;  15 nHn;  55 RR)
%            Number of literals    :  148 (  44 equ;  83 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    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   48 (   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/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_149) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_155) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_154) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_195) ).

cnf(i_0_203,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_203) ).

cnf(i_0_82,plain,
    ( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_82) ).

cnf(i_0_83,plain,
    ( ssList(esk30_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_83) ).

cnf(i_0_199,negated_conjecture,
    ~ segmentP(esk49_0,esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_199) ).

cnf(i_0_201,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_201) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_200) ).

cnf(i_0_84,plain,
    ( ssList(esk29_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_84) ).

cnf(i_0_204,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_204) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_53) ).

cnf(i_0_196,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_196) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_44) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk52_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_193) ).

cnf(i_0_198,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_198) ).

cnf(i_0_197,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_197) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-psd7pfg5/input.p',i_0_110) ).

cnf(c_0_224,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_225,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_224]) ).

cnf(c_0_226,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_227,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_228,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_195 ).

cnf(c_0_229,plain,
    ( segmentP(app(X1,app(X2,X3)),X2)
    | ~ ssList(app(X1,app(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_230,negated_conjecture,
    ( app(esk50_0,X1) = cons(esk52_0,X1)
    | esk50_0 = nil
    | ~ ssItem(esk52_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_231,negated_conjecture,
    ssList(esk50_0),
    i_0_203 ).

cnf(c_0_232,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(app(X1,cons(esk52_0,X2)),esk50_0)
    | ~ ssItem(esk52_0)
    | ~ ssList(app(X1,cons(esk52_0,X2)))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]) ).

cnf(c_0_233,plain,
    ( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_82 ).

cnf(c_0_234,plain,
    ( esk50_0 = nil
    | segmentP(X1,esk50_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssItem(esk52_0)
    | ~ ssList(esk30_2(X1,esk52_0))
    | ~ ssList(esk29_2(X1,esk52_0))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_235,plain,
    ( ssList(esk30_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_83 ).

cnf(c_0_236,negated_conjecture,
    ~ segmentP(esk49_0,esk48_0),
    i_0_199 ).

cnf(c_0_237,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_201 ).

cnf(c_0_238,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_239,plain,
    ( esk50_0 = nil
    | segmentP(X1,esk50_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssItem(esk52_0)
    | ~ ssList(esk29_2(X1,esk52_0))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_240,plain,
    ( ssList(esk29_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_84 ).

cnf(c_0_241,negated_conjecture,
    ssList(esk49_0),
    i_0_204 ).

cnf(c_0_242,negated_conjecture,
    ~ segmentP(esk51_0,esk50_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).

cnf(c_0_243,plain,
    ( esk50_0 = nil
    | segmentP(X1,esk50_0)
    | ~ memberP(X1,esk52_0)
    | ~ ssItem(esk52_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_244,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_241,c_0_237]) ).

cnf(c_0_245,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_246,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_196 ).

cnf(c_0_247,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_248,negated_conjecture,
    ( esk50_0 = nil
    | ~ memberP(esk51_0,esk52_0)
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244])]) ).

cnf(c_0_249,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk52_0) ),
    i_0_193 ).

cnf(c_0_250,negated_conjecture,
    ( esk51_0 = nil
    | esk50_0 != nil
    | ~ ssItem(esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247])]) ).

cnf(c_0_251,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    i_0_198 ).

cnf(c_0_252,negated_conjecture,
    ( esk50_0 = nil
    | ~ ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_253,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk52_0) ),
    i_0_197 ).

cnf(c_0_254,negated_conjecture,
    ( esk51_0 = nil
    | esk50_0 != nil ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_255,negated_conjecture,
    esk50_0 = nil,
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_256,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_257,negated_conjecture,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]) ).

cnf(c_0_258,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_256]),c_0_247])]) ).

cnf(c_0_259,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_255]),c_0_257]),c_0_258])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n009.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 19:47:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 18.13/3.80  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.13/3.80  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 57; version: 991; iters: 150)
% 18.13/3.80  # Preprocessing time       : 1.198 s
% 18.13/3.80  # Presaturation interreduction done
% 18.13/3.80  
% 18.13/3.80  # Proof found!
% 18.13/3.80  # SZS status Theorem
% 18.13/3.80  # SZS output start CNFRefutation
% See solution above
% 18.13/3.80  # Training examples: 0 positive, 0 negative
% 18.13/3.80  
% 18.13/3.80  # -------------------------------------------------
% 18.13/3.80  # User time                : 1.130 s
% 18.13/3.80  # System time              : 0.138 s
% 18.13/3.80  # Total time               : 1.268 s
% 18.13/3.80  # ...preprocessing         : 1.198 s
% 18.13/3.80  # ...main loop             : 0.069 s
% 18.13/3.80  # Maximum resident set size: 187900 pages
% 18.13/3.80  
%------------------------------------------------------------------------------