TSTP Solution File: SWC014+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC014+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 20:13:03 EDT 2022

% Result   : Theorem 8.83s 2.50s
% Output   : CNFRefutation 8.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   51 (  23 unt;   6 nHn;  51 RR)
%            Number of literals    :  112 (  43 equ;  64 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_193) ).

cnf(i_0_203,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_203) ).

cnf(i_0_204,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_204) ).

cnf(i_0_202,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_202) ).

cnf(i_0_197,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    ( esk49_0 != X1
    | tl(esk49_0) != X2
    | app(esk48_0,X2) != X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_199) ).

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

cnf(i_0_191,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_191) ).

cnf(i_0_195,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_195) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_206) ).

cnf(i_0_57,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_57) ).

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

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

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_56) ).

cnf(i_0_161,plain,
    ( nil = X1
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_161) ).

cnf(i_0_157,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ze_liqda/lgb.p',i_0_157) ).

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

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

cnf(c_0_225,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_203 ).

cnf(c_0_227,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_204 ).

cnf(c_0_228,negated_conjecture,
    neq(esk49_0,nil),
    i_0_202 ).

cnf(c_0_229,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_230,negated_conjecture,
    ( esk49_0 != X1
    | tl(esk49_0) != X2
    | app(esk48_0,X2) != X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    i_0_199 ).

cnf(c_0_231,negated_conjecture,
    ssList(esk51_0),
    i_0_205 ).

cnf(c_0_232,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_233,negated_conjecture,
    cons(esk52_0,nil) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_228])]) ).

cnf(c_0_234,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    i_0_206 ).

cnf(c_0_236,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_57 ).

cnf(c_0_237,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_238,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_227]),c_0_228])]) ).

cnf(c_0_239,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_240,negated_conjecture,
    ( app(esk48_0,tl(esk49_0)) != esk49_0
    | ~ ssList(app(esk48_0,tl(esk49_0)))
    | ~ ssList(tl(esk49_0))
    | ~ neq(nil,esk49_0) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_227]),c_0_228])])])]) ).

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

cnf(c_0_242,negated_conjecture,
    ssList(esk49_0),
    inference(rw,[status(thm)],[c_0_231,c_0_227]) ).

cnf(c_0_243,plain,
    ( nil = X1
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_161 ).

cnf(c_0_244,negated_conjecture,
    app(esk48_0,esk53_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233]),c_0_227]),c_0_227]),c_0_228])]) ).

cnf(c_0_245,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_227]),c_0_228])]) ).

cnf(c_0_246,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_235,c_0_226]) ).

cnf(c_0_247,negated_conjecture,
    tl(esk48_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_233]),c_0_237]),c_0_238])]) ).

cnf(c_0_248,negated_conjecture,
    esk48_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_233]),c_0_237]),c_0_238])]) ).

cnf(c_0_249,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_157 ).

cnf(c_0_250,negated_conjecture,
    ( esk49_0 = nil
    | app(esk48_0,tl(esk49_0)) != esk49_0
    | ~ ssList(app(esk48_0,tl(esk49_0)))
    | ~ neq(nil,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242])]) ).

cnf(c_0_251,negated_conjecture,
    tl(esk49_0) = app(nil,esk53_0),
    inference(sr,[status(thm)],[inference(rw,[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_247]),c_0_248]) ).

cnf(c_0_252,negated_conjecture,
    esk49_0 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_244]),c_0_245]),c_0_246])]),c_0_248]) ).

cnf(c_0_253,negated_conjecture,
    ( app(esk48_0,app(nil,esk53_0)) != esk49_0
    | ~ ssList(app(esk48_0,app(nil,esk53_0)))
    | ~ neq(nil,esk49_0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251]),c_0_251]),c_0_252]) ).

cnf(c_0_254,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_255,plain,
    ( app(esk48_0,app(nil,esk53_0)) != esk49_0
    | ~ ssList(app(esk48_0,app(nil,esk53_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_242]),c_0_237])]),c_0_252]) ).

cnf(c_0_256,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_257,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_244]),c_0_244]),c_0_242]),c_0_245])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC014+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 : n022.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 21:51:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.83/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.83/2.50  # No SInE strategy applied
% 8.83/2.50  # Trying AutoSched0 for 150 seconds
% 8.83/2.50  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.83/2.50  # and selection function SelectNewComplexAHP.
% 8.83/2.50  #
% 8.83/2.50  # Preprocessing time       : 0.024 s
% 8.83/2.50  # Presaturation interreduction done
% 8.83/2.50  
% 8.83/2.50  # Proof found!
% 8.83/2.50  # SZS status Theorem
% 8.83/2.50  # SZS output start CNFRefutation
% See solution above
% 8.83/2.50  # Training examples: 0 positive, 0 negative
% 8.83/2.50  
% 8.83/2.50  # -------------------------------------------------
% 8.83/2.50  # User time                : 0.029 s
% 8.83/2.50  # System time              : 0.008 s
% 8.83/2.50  # Total time               : 0.037 s
% 8.83/2.50  # Maximum resident set size: 7132 pages
% 8.83/2.50  
%------------------------------------------------------------------------------