TSTP Solution File: SWC312+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC312+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 20:14:54 EDT 2022

% Result   : Theorem 8.04s 2.38s
% Output   : CNFRefutation 8.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   37 (   8 unt;   5 nHn;  37 RR)
%            Number of literals    :   85 (  49 equ;  50 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   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( nil != esk48_0
    | app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_191) ).

cnf(i_0_201,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_201) ).

cnf(i_0_195,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_195) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_200) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_192) ).

cnf(i_0_194,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_194) ).

cnf(i_0_198,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_198) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_197) ).

cnf(i_0_196,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_196) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g3j6a7t6/lgb.p',i_0_199) ).

cnf(c_0_213,negated_conjecture,
    ( nil != esk48_0
    | app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_191 ).

cnf(c_0_214,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_201 ).

cnf(c_0_215,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_217,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_218,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    i_0_194 ).

cnf(c_0_219,negated_conjecture,
    ( app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk51_0
    | nil != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_220,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk48_0
    | ~ neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_221,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_198 ).

cnf(c_0_222,negated_conjecture,
    ( neq(esk51_0,nil)
    | nil != esk48_0 ),
    inference(rw,[status(thm)],[c_0_217,c_0_214]) ).

cnf(c_0_223,negated_conjecture,
    ( nil = esk49_0
    | app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk49_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_193 ).

cnf(c_0_224,negated_conjecture,
    ( nil = esk51_0
    | neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_214]),c_0_214]) ).

cnf(c_0_225,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_226,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) != esk51_0
    | nil != esk48_0
    | ~ ssList(esk53_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_227,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_196 ).

cnf(c_0_228,negated_conjecture,
    ( nil = esk51_0
    | app(X1,cons(X2,nil)) != esk48_0
    | app(cons(X2,nil),X1) != esk51_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_214]),c_0_214]) ).

cnf(c_0_229,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_224]) ).

cnf(c_0_230,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk53_0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_224]) ).

cnf(c_0_231,negated_conjecture,
    ( nil != esk48_0
    | ~ ssList(esk53_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_222]) ).

cnf(c_0_232,negated_conjecture,
    ( nil = esk51_0
    | app(cons(esk52_0,nil),esk53_0) != esk51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_220]),c_0_229]),c_0_224]),c_0_230]) ).

cnf(c_0_233,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_199 ).

cnf(c_0_234,negated_conjecture,
    nil != esk48_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_222]),c_0_231]) ).

cnf(c_0_235,negated_conjecture,
    nil = esk51_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_227]),c_0_224]) ).

cnf(c_0_236,negated_conjecture,
    ( nil = esk48_0
    | nil != esk51_0 ),
    inference(rw,[status(thm)],[c_0_233,c_0_216]) ).

cnf(c_0_237,negated_conjecture,
    esk48_0 != esk51_0,
    inference(rw,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_238,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_235]),c_0_235])]),c_0_237]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC312+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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 : Sun Jun 12 10:38:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/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
% 8.04/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.04/2.38  # No SInE strategy applied
% 8.04/2.38  # Trying AutoSched0 for 150 seconds
% 8.04/2.38  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.04/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.04/2.38  #
% 8.04/2.38  # Preprocessing time       : 0.024 s
% 8.04/2.38  
% 8.04/2.38  # Proof found!
% 8.04/2.38  # SZS status Theorem
% 8.04/2.38  # SZS output start CNFRefutation
% See solution above
% 8.04/2.38  # Training examples: 0 positive, 0 negative
% 8.04/2.38  
% 8.04/2.38  # -------------------------------------------------
% 8.04/2.38  # User time                : 0.029 s
% 8.04/2.38  # System time              : 0.005 s
% 8.04/2.38  # Total time               : 0.034 s
% 8.04/2.38  # Maximum resident set size: 7128 pages
% 8.04/2.38  
%------------------------------------------------------------------------------