TSTP Solution File: SWC066+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC066+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 20:13:23 EDT 2022

% Result   : Theorem 15.95s 3.37s
% Output   : CNFRefutation 15.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   79 (  20 unt;  22 nHn;  79 RR)
%            Number of literals    :  230 (  61 equ; 137 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   :   68 (   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-buq8e4f3/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_44) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_193) ).

cnf(i_0_198,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_198) ).

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-buq8e4f3/input.p',i_0_154) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_41) ).

cnf(i_0_197,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_199) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_147) ).

cnf(i_0_195,negated_conjecture,
    ( ~ ssList(X1)
    | ~ totalorderedP(X1)
    | ~ segmentP(X1,esk50_0)
    | ~ neq(esk50_0,X1)
    | ~ segmentP(esk51_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_195) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_107) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_201) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_54) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/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-buq8e4f3/input.p',i_0_43) ).

cnf(i_0_109,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_109) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_202) ).

cnf(i_0_121,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_121) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_45) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_110) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_192) ).

cnf(i_0_122,plain,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_122) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-buq8e4f3/input.p',i_0_42) ).

cnf(c_0_227,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_228,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_227]) ).

cnf(c_0_229,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_230,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_231,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_193 ).

cnf(c_0_232,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_198 ).

cnf(c_0_233,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_228,c_0_229]),c_0_230])]) ).

cnf(c_0_234,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_235,negated_conjecture,
    ( esk49_0 = nil
    | ~ neq(X1,nil)
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_236,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_237,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    i_0_197 ).

cnf(c_0_238,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_199 ).

cnf(c_0_239,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_233,c_0_234]) ).

cnf(c_0_240,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_241,negated_conjecture,
    ( ~ ssList(X1)
    | ~ totalorderedP(X1)
    | ~ segmentP(X1,esk50_0)
    | ~ neq(esk50_0,X1)
    | ~ segmentP(esk51_0,X1) ),
    i_0_195 ).

cnf(c_0_242,plain,
    ( esk49_0 = nil
    | X1 = nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_230])]) ).

cnf(c_0_243,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_244,negated_conjecture,
    segmentP(esk49_0,esk50_0),
    inference(rw,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_245,negated_conjecture,
    ssList(esk50_0),
    i_0_201 ).

cnf(c_0_246,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_239,c_0_240]) ).

cnf(c_0_247,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_248,negated_conjecture,
    ( ~ neq(esk50_0,X1)
    | ~ segmentP(X1,esk50_0)
    | ~ segmentP(esk49_0,X1)
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_241,c_0_238]) ).

cnf(c_0_249,plain,
    ( esk49_0 = nil
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]),c_0_245])]) ).

cnf(c_0_250,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_246,c_0_247]) ).

cnf(c_0_251,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_252,plain,
    ( esk49_0 = nil
    | ~ neq(nil,X1)
    | ~ segmentP(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_253,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_254,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_255,plain,
    ( esk49_0 = nil
    | nil = X1
    | ~ segmentP(X1,nil)
    | ~ segmentP(esk49_0,X1)
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_236]),c_0_230])]) ).

cnf(c_0_256,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    i_0_109 ).

cnf(c_0_257,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_253,c_0_254]),c_0_230])]) ).

cnf(c_0_258,plain,
    ( esk49_0 = nil
    | nil = X1
    | ~ segmentP(esk49_0,X1)
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_259,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_247]) ).

cnf(c_0_260,negated_conjecture,
    ssList(esk49_0),
    i_0_202 ).

cnf(c_0_261,plain,
    ( cons(hd(esk49_0),nil) = nil
    | esk49_0 = nil
    | ~ totalorderedP(cons(hd(esk49_0),nil))
    | ~ ssList(cons(hd(esk49_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260])]) ).

cnf(c_0_262,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_121 ).

cnf(c_0_263,plain,
    ( cons(hd(esk49_0),nil) = nil
    | esk49_0 = nil
    | ~ ssItem(hd(esk49_0))
    | ~ ssList(cons(hd(esk49_0),nil)) ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_264,plain,
    ( cons(hd(esk49_0),nil) = nil
    | esk49_0 = nil
    | ~ ssList(cons(hd(esk49_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_247]),c_0_260])]) ).

cnf(c_0_265,plain,
    ( cons(hd(esk49_0),nil) = nil
    | esk49_0 = nil
    | ~ ssItem(hd(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_254]),c_0_230])]) ).

cnf(c_0_266,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_267,plain,
    ( cons(hd(esk49_0),nil) = nil
    | esk49_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_247]),c_0_260])]) ).

cnf(c_0_268,plain,
    ( esk50_0 = X1
    | ~ segmentP(X1,esk50_0)
    | ~ segmentP(esk49_0,X1)
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_236]),c_0_245])]) ).

cnf(c_0_269,plain,
    ( esk49_0 = nil
    | ~ ssItem(hd(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_230])]) ).

cnf(c_0_270,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_271,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_272,negated_conjecture,
    ( esk50_0 = esk49_0
    | ~ segmentP(esk49_0,esk49_0)
    | ~ totalorderedP(esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_244]),c_0_260])]) ).

cnf(c_0_273,plain,
    esk49_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_247]),c_0_260])]) ).

cnf(c_0_274,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_270]),c_0_230])]) ).

cnf(c_0_275,plain,
    totalorderedP(nil),
    i_0_122 ).

cnf(c_0_276,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_277,negated_conjecture,
    ( neq(esk49_0,nil)
    | esk50_0 != nil ),
    inference(rw,[status(thm)],[c_0_271,c_0_232]) ).

cnf(c_0_278,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273]),c_0_273]),c_0_273]),c_0_274]),c_0_273]),c_0_275])]) ).

cnf(c_0_279,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_276]) ).

cnf(c_0_280,negated_conjecture,
    neq(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_273]),c_0_278])]) ).

cnf(c_0_281,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_230])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC066+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.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 16:52:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.95/3.37  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.95/3.37  # 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: 57; version: 991; iters: 150)
% 15.95/3.37  # Preprocessing time       : 0.916 s
% 15.95/3.37  # Presaturation interreduction done
% 15.95/3.37  
% 15.95/3.37  # Proof found!
% 15.95/3.37  # SZS status Theorem
% 15.95/3.37  # SZS output start CNFRefutation
% See solution above
% 15.95/3.37  # Training examples: 0 positive, 0 negative
% 15.95/3.37  
% 15.95/3.37  # -------------------------------------------------
% 15.95/3.37  # User time                : 0.858 s
% 15.95/3.37  # System time              : 0.102 s
% 15.95/3.37  # Total time               : 0.960 s
% 15.95/3.37  # ...preprocessing         : 0.916 s
% 15.95/3.37  # ...main loop             : 0.044 s
% 15.95/3.37  # Maximum resident set size: 168176 pages
% 15.95/3.37  
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