TSTP Solution File: SWC117+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC117+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 20:13:43 EDT 2022

% Result   : Theorem 15.07s 3.44s
% Output   : CNFRefutation 15.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   63 (  19 unt;  13 nHn;  63 RR)
%            Number of literals    :  167 (  42 equ; 104 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   53 (   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-3cjefm9z/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_44) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_154) ).

cnf(i_0_191,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_191) ).

cnf(i_0_197,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_197) ).

cnf(i_0_196,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_196) ).

cnf(i_0_195,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_195) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_147) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_41) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_199) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_54) ).

cnf(i_0_193,negated_conjecture,
    ( ~ ssList(X1)
    | ~ equalelemsP(X1)
    | ~ segmentP(X1,esk50_0)
    | ~ neq(esk50_0,X1)
    | ~ segmentP(esk51_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_193) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_56) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_43) ).

cnf(i_0_192,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_192) ).

cnf(i_0_109,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_109) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_200) ).

cnf(i_0_140,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_140) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3cjefm9z/input.p',i_0_45) ).

cnf(c_0_221,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_222,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_221]) ).

cnf(c_0_223,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_224,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_225,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224])]) ).

cnf(c_0_226,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_227,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_228,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_197 ).

cnf(c_0_229,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_196 ).

cnf(c_0_230,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    i_0_195 ).

cnf(c_0_231,plain,
    ( segmentP(cons(X1,X2),cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(cons(X1,X2))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_232,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_233,negated_conjecture,
    ~ neq(esk50_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_230]),c_0_229])]) ).

cnf(c_0_234,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    i_0_199 ).

cnf(c_0_236,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssItem(hd(X1))
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_237,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_238,negated_conjecture,
    ( ~ ssList(X1)
    | ~ equalelemsP(X1)
    | ~ segmentP(X1,esk50_0)
    | ~ neq(esk50_0,X1)
    | ~ segmentP(esk51_0,X1) ),
    i_0_193 ).

cnf(c_0_239,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_224]),c_0_235])]) ).

cnf(c_0_240,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_241,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_242,negated_conjecture,
    ( ~ neq(nil,X1)
    | ~ segmentP(X1,nil)
    | ~ segmentP(esk51_0,X1)
    | ~ equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_239]) ).

cnf(c_0_243,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_244,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_245,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_192 ).

cnf(c_0_246,plain,
    ( nil = X1
    | ~ segmentP(X1,nil)
    | ~ segmentP(esk51_0,X1)
    | ~ equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_234]),c_0_224])]) ).

cnf(c_0_247,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    i_0_109 ).

cnf(c_0_248,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_224])]) ).

cnf(c_0_249,negated_conjecture,
    ssList(esk49_0),
    i_0_200 ).

cnf(c_0_250,negated_conjecture,
    ( esk50_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_229]),c_0_228]) ).

cnf(c_0_251,plain,
    ( nil = X1
    | ~ segmentP(esk51_0,X1)
    | ~ equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_252,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_237]) ).

cnf(c_0_253,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_249,c_0_228]) ).

cnf(c_0_254,negated_conjecture,
    esk51_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_239])]) ).

cnf(c_0_255,plain,
    ( cons(hd(esk51_0),nil) = nil
    | ~ equalelemsP(cons(hd(esk51_0),nil))
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]),c_0_254]) ).

cnf(c_0_256,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_140 ).

cnf(c_0_257,plain,
    ( cons(hd(esk51_0),nil) = nil
    | ~ ssItem(hd(esk51_0))
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_258,plain,
    ( cons(hd(esk51_0),nil) = nil
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_237]),c_0_253])]),c_0_254]) ).

cnf(c_0_259,plain,
    ( cons(hd(esk51_0),nil) = nil
    | ~ ssItem(hd(esk51_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_244]),c_0_224])]) ).

cnf(c_0_260,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_261,plain,
    cons(hd(esk51_0),nil) = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_237]),c_0_253])]),c_0_254]) ).

cnf(c_0_262,plain,
    ~ ssItem(hd(esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_224])]) ).

cnf(c_0_263,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_237]),c_0_253])]),c_0_254]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWC117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.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 05:28:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.07/3.44  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.07/3.44  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 48; version: 991; iters: 150)
% 15.07/3.44  # Preprocessing time       : 0.964 s
% 15.07/3.44  # Presaturation interreduction done
% 15.07/3.44  
% 15.07/3.44  # Proof found!
% 15.07/3.44  # SZS status Theorem
% 15.07/3.44  # SZS output start CNFRefutation
% See solution above
% 15.07/3.44  # Training examples: 0 positive, 0 negative
% 15.07/3.44  
% 15.07/3.44  # -------------------------------------------------
% 15.07/3.44  # User time                : 0.893 s
% 15.07/3.44  # System time              : 0.114 s
% 15.07/3.44  # Total time               : 1.007 s
% 15.07/3.44  # ...preprocessing         : 0.964 s
% 15.07/3.44  # ...main loop             : 0.043 s
% 15.07/3.44  # Maximum resident set size: 168576 pages
% 15.07/3.44  
%------------------------------------------------------------------------------