TSTP Solution File: SWC415+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC415+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 20:15:33 EDT 2022

% Result   : Theorem 7.50s 2.32s
% Output   : CNFRefutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  13 unt;   7 nHn;  29 RR)
%            Number of literals    :   69 (  23 equ;  40 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( esk48_0 != X1
    | tl(esk49_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_191) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_198) ).

cnf(i_0_196,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_196) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_41) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_201) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = X1
    | tl(esk51_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_197) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_44) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_56) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wr43u07m/lgb.p',i_0_42) ).

cnf(c_0_212,negated_conjecture,
    ( esk48_0 != X1
    | tl(esk49_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_213,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_214,negated_conjecture,
    neq(esk49_0,nil),
    i_0_196 ).

cnf(c_0_215,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_216,negated_conjecture,
    ssList(esk49_0),
    i_0_201 ).

cnf(c_0_217,negated_conjecture,
    ( esk50_0 = X1
    | tl(esk51_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_218,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_219,negated_conjecture,
    ( tl(esk49_0) != esk48_0
    | ~ neq(nil,esk49_0)
    | ~ ssList(tl(esk49_0)) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213]),c_0_214])])]) ).

cnf(c_0_220,negated_conjecture,
    ( X1 = esk49_0
    | neq(X1,esk49_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_221,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_222,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_223,negated_conjecture,
    ( ~ neq(nil,esk49_0)
    | ~ ssList(tl(esk49_0)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_213]),c_0_213]),c_0_214]),c_0_213])])]),c_0_219]) ).

cnf(c_0_224,plain,
    ( esk49_0 = nil
    | neq(nil,esk49_0) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_225,negated_conjecture,
    ( esk49_0 = nil
    | ssList(tl(esk49_0)) ),
    inference(spm,[status(thm)],[c_0_222,c_0_216]) ).

cnf(c_0_226,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_227,negated_conjecture,
    esk49_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).

cnf(c_0_228,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_226]) ).

cnf(c_0_229,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_214,c_0_227]) ).

cnf(c_0_230,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_221])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC415+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun 12 05:15:42 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.39  # ENIGMATIC: Selected SinE mode:
% 0.15/0.40  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.40  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.40  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.50/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.50/2.32  # No SInE strategy applied
% 7.50/2.32  # Trying AutoSched0 for 150 seconds
% 7.50/2.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 7.50/2.32  # and selection function SelectCQArNp.
% 7.50/2.32  #
% 7.50/2.32  # Preprocessing time       : 0.015 s
% 7.50/2.32  # Presaturation interreduction done
% 7.50/2.32  
% 7.50/2.32  # Proof found!
% 7.50/2.32  # SZS status Theorem
% 7.50/2.32  # SZS output start CNFRefutation
% See solution above
% 7.50/2.32  # Training examples: 0 positive, 0 negative
% 7.50/2.32  
% 7.50/2.32  # -------------------------------------------------
% 7.50/2.32  # User time                : 0.019 s
% 7.50/2.32  # System time              : 0.006 s
% 7.50/2.32  # Total time               : 0.025 s
% 7.50/2.32  # Maximum resident set size: 7120 pages
% 7.50/2.32  
%------------------------------------------------------------------------------