TSTP Solution File: SWC098+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC098+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 20:13:36 EDT 2022

% Result   : Theorem 8.06s 2.65s
% Output   : CNFRefutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  15 unt;  12 nHn;  44 RR)
%            Number of literals    :  105 (  48 equ;  58 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_199,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_199) ).

cnf(i_0_204,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_204) ).

cnf(i_0_205,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_205) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_53) ).

cnf(i_0_196,negated_conjecture,
    ( nil = esk51_0
    | cons(esk53_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_196) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_44) ).

cnf(i_0_198,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_198) ).

cnf(i_0_201,negated_conjecture,
    ( leq(X1,esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_201) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_195) ).

cnf(i_0_197,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_197) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_193) ).

cnf(i_0_202,negated_conjecture,
    ( memberP(esk49_0,esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    ( ssItem(esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_203) ).

cnf(i_0_200,negated_conjecture,
    ( esk52_1(X1) != X1
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_200) ).

cnf(i_0_191,negated_conjecture,
    ( esk53_0 = X1
    | esk50_0 = nil
    | ~ ssItem(X1)
    | ~ leq(esk53_0,X1)
    | ~ memberP(esk51_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ekz3vndy/lgb.p',i_0_191) ).

cnf(c_0_221,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_199 ).

cnf(c_0_222,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_204 ).

cnf(c_0_223,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_205 ).

cnf(c_0_224,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_225,negated_conjecture,
    ( nil = esk51_0
    | cons(esk53_0,nil) = esk50_0 ),
    i_0_196 ).

cnf(c_0_226,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_227,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk53_0) ),
    i_0_198 ).

cnf(c_0_228,negated_conjecture,
    ( esk50_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).

cnf(c_0_229,negated_conjecture,
    ( leq(X1,esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    i_0_201 ).

cnf(c_0_230,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    i_0_195 ).

cnf(c_0_231,negated_conjecture,
    esk50_0 != nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226])]),c_0_227]),c_0_228]) ).

cnf(c_0_232,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    i_0_197 ).

cnf(c_0_233,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk53_0) ),
    i_0_193 ).

cnf(c_0_234,negated_conjecture,
    ( memberP(esk49_0,esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    i_0_202 ).

cnf(c_0_235,negated_conjecture,
    ( ssItem(esk52_1(X1))
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    i_0_203 ).

cnf(c_0_236,negated_conjecture,
    ( leq(X1,esk52_1(X1))
    | cons(X1,nil) != esk50_0
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_222]),c_0_223]) ).

cnf(c_0_237,negated_conjecture,
    cons(esk53_0,nil) = esk50_0,
    inference(sr,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_238,negated_conjecture,
    ssItem(esk53_0),
    inference(sr,[status(thm)],[c_0_232,c_0_231]) ).

cnf(c_0_239,negated_conjecture,
    memberP(esk51_0,esk53_0),
    inference(sr,[status(thm)],[c_0_233,c_0_231]) ).

cnf(c_0_240,negated_conjecture,
    ( memberP(esk51_0,esk52_1(X1))
    | cons(X1,nil) != esk50_0
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_223]),c_0_222]),c_0_223]) ).

cnf(c_0_241,negated_conjecture,
    ( ssItem(esk52_1(X1))
    | cons(X1,nil) != esk50_0
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_222]),c_0_223]) ).

cnf(c_0_242,negated_conjecture,
    ( esk52_1(X1) != X1
    | cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    i_0_200 ).

cnf(c_0_243,negated_conjecture,
    ( esk53_0 = X1
    | esk50_0 = nil
    | ~ ssItem(X1)
    | ~ leq(esk53_0,X1)
    | ~ memberP(esk51_0,X1) ),
    i_0_191 ).

cnf(c_0_244,negated_conjecture,
    leq(esk53_0,esk52_1(esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238])]),c_0_239])]) ).

cnf(c_0_245,negated_conjecture,
    memberP(esk51_0,esk52_1(esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_237]),c_0_238])]),c_0_239])]) ).

cnf(c_0_246,negated_conjecture,
    ssItem(esk52_1(esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_237]),c_0_238])]),c_0_239])]) ).

cnf(c_0_247,negated_conjecture,
    ( cons(X1,nil) != esk50_0
    | esk52_1(X1) != X1
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_222]),c_0_223]) ).

cnf(c_0_248,negated_conjecture,
    esk52_1(esk53_0) = esk53_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_246])]),c_0_231]) ).

cnf(c_0_249,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_237]),c_0_239]),c_0_238])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWC098+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 12 11:07:41 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.06/2.65  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.06/2.65  # No SInE strategy applied
% 8.06/2.65  # Trying AutoSched0 for 150 seconds
% 8.06/2.65  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.06/2.65  # and selection function SelectNewComplexAHP.
% 8.06/2.65  #
% 8.06/2.65  # Preprocessing time       : 0.023 s
% 8.06/2.65  # Presaturation interreduction done
% 8.06/2.65  
% 8.06/2.65  # Proof found!
% 8.06/2.65  # SZS status Theorem
% 8.06/2.65  # SZS output start CNFRefutation
% See solution above
% 8.06/2.65  # Training examples: 0 positive, 0 negative
% 8.06/2.65  
% 8.06/2.65  # -------------------------------------------------
% 8.06/2.65  # User time                : 0.030 s
% 8.06/2.65  # System time              : 0.004 s
% 8.06/2.65  # Total time               : 0.034 s
% 8.06/2.65  # Maximum resident set size: 7124 pages
% 8.06/2.65  
%------------------------------------------------------------------------------