TSTP Solution File: SWC004+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC004+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 20:12:59 EDT 2022

% Result   : Theorem 6.91s 2.27s
% Output   : CNFRefutation 6.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (  16 unt;   2 nHn;  37 RR)
%            Number of literals    :   80 (  22 equ;  47 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_204,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_204) ).

cnf(i_0_206,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_206) ).

cnf(i_0_201,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(X3,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_201) ).

cnf(i_0_205,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_205) ).

cnf(i_0_193,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_193) ).

cnf(i_0_191,negated_conjecture,
    ( app(esk53_0,esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_191) ).

cnf(i_0_195,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_195) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_197) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_44) ).

cnf(i_0_199,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_199) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_43) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-84wcbvmh/lgb.p',i_0_53) ).

cnf(c_0_220,negated_conjecture,
    neq(esk49_0,nil),
    i_0_204 ).

cnf(c_0_221,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_206 ).

cnf(c_0_222,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(X3,nil)
    | ~ neq(esk51_0,nil) ),
    i_0_201 ).

cnf(c_0_223,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_205 ).

cnf(c_0_224,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_225,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    ( app(esk53_0,esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_227,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_228,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_229,negated_conjecture,
    ( app(app(X1,X2),X3) != esk51_0
    | app(X1,X3) != esk50_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(X2,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223]),c_0_221]),c_0_224])]) ).

cnf(c_0_230,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_224])]) ).

cnf(c_0_231,negated_conjecture,
    app(esk53_0,esk54_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_224])]) ).

cnf(c_0_232,negated_conjecture,
    ssList(esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_224])]) ).

cnf(c_0_233,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_224])]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | ~ neq(cons(esk52_0,nil),nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_232]),c_0_233])]) ).

cnf(c_0_235,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_236,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_237,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_199 ).

cnf(c_0_238,plain,
    ( cons(esk52_0,nil) = nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236])]) ).

cnf(c_0_239,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_240,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_224])]) ).

cnf(c_0_241,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_242,plain,
    cons(esk52_0,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_236])]) ).

cnf(c_0_243,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_240]),c_0_236])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC004+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 17:37:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/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
% 6.91/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.91/2.27  # No SInE strategy applied
% 6.91/2.27  # Trying AutoSched0 for 150 seconds
% 6.91/2.27  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 6.91/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.91/2.27  #
% 6.91/2.27  # Preprocessing time       : 0.024 s
% 6.91/2.27  
% 6.91/2.27  # Proof found!
% 6.91/2.27  # SZS status Theorem
% 6.91/2.27  # SZS output start CNFRefutation
% See solution above
% 6.91/2.27  # Training examples: 0 positive, 0 negative
% 6.91/2.27  
% 6.91/2.27  # -------------------------------------------------
% 6.91/2.27  # User time                : 0.028 s
% 6.91/2.27  # System time              : 0.005 s
% 6.91/2.27  # Total time               : 0.033 s
% 6.91/2.27  # Maximum resident set size: 7124 pages
% 6.91/2.27  
%------------------------------------------------------------------------------