TSTP Solution File: SWC308+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC308+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 20:14:53 EDT 2022

% Result   : Theorem 8.00s 2.42s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  13 unt;   8 nHn;  44 RR)
%            Number of literals    :  130 (  50 equ;  84 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    ( esk48_0 != X1
    | hd(esk49_0) != X2
    | tl(esk49_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_195) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_58) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_41) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_199) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_44) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_54) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_56) ).

cnf(i_0_192,negated_conjecture,
    ( app(X1,cons(X2,nil)) = esk50_0
    | app(cons(X2,nil),X1) != esk51_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_192) ).

cnf(i_0_196,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_196) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_43) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_154) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_147) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_42) ).

cnf(i_0_194,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nd0y_mqf/lgb.p',i_0_194) ).

cnf(c_0_215,negated_conjecture,
    ( esk48_0 != X1
    | hd(esk49_0) != X2
    | tl(esk49_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0) ),
    i_0_193 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_195 ).

cnf(c_0_217,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_218,negated_conjecture,
    ( app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0
    | ~ neq(nil,esk49_0)
    | ~ ssItem(hd(esk49_0))
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssList(tl(esk49_0)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216])])])])]),c_0_217]) ).

cnf(c_0_219,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_220,negated_conjecture,
    ssList(esk49_0),
    i_0_199 ).

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

cnf(c_0_222,negated_conjecture,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0
    | ~ ssItem(hd(esk49_0))
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssList(tl(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221])]) ).

cnf(c_0_223,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_224,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssList(tl(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_220])]) ).

cnf(c_0_225,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_226,negated_conjecture,
    ( app(X1,cons(X2,nil)) = esk50_0
    | app(cons(X2,nil),X1) != esk51_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_192 ).

cnf(c_0_227,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_196 ).

cnf(c_0_228,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0
    | ~ ssList(cons(hd(esk49_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_220])]) ).

cnf(c_0_229,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_230,negated_conjecture,
    ( app(X1,cons(X2,nil)) = esk50_0
    | app(cons(X2,nil),X1) != esk49_0
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_231,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_232,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0
    | ~ ssItem(hd(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_221])]) ).

cnf(c_0_233,plain,
    ( app(X1,cons(X2,nil)) = esk50_0
    | cons(X2,X1) != esk49_0
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_234,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_235,plain,
    ( esk49_0 = nil
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_223]),c_0_220])]) ).

cnf(c_0_236,plain,
    ( esk49_0 = nil
    | ~ ssItem(hd(esk49_0))
    | ~ ssList(tl(esk49_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234])]),c_0_220])]),c_0_235]) ).

cnf(c_0_237,plain,
    ( esk49_0 = nil
    | ~ ssList(tl(esk49_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_223]),c_0_220])]) ).

cnf(c_0_238,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_239,negated_conjecture,
    neq(esk49_0,nil),
    i_0_194 ).

cnf(c_0_240,plain,
    esk49_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_225]),c_0_220])]) ).

cnf(c_0_241,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_238]) ).

cnf(c_0_242,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_243,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_221])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC308+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % 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 07:56:35 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
% 8.00/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.42  # No SInE strategy applied
% 8.00/2.42  # Trying AutoSched0 for 150 seconds
% 8.00/2.42  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.00/2.42  # and selection function SelectNewComplexAHP.
% 8.00/2.42  #
% 8.00/2.42  # Preprocessing time       : 0.024 s
% 8.00/2.42  # Presaturation interreduction done
% 8.00/2.42  
% 8.00/2.42  # Proof found!
% 8.00/2.42  # SZS status Theorem
% 8.00/2.42  # SZS output start CNFRefutation
% See solution above
% 8.00/2.42  # Training examples: 0 positive, 0 negative
% 8.00/2.42  
% 8.00/2.42  # -------------------------------------------------
% 8.00/2.42  # User time                : 0.038 s
% 8.00/2.42  # System time              : 0.004 s
% 8.00/2.42  # Total time               : 0.042 s
% 8.00/2.42  # Maximum resident set size: 7128 pages
% 8.00/2.42  
%------------------------------------------------------------------------------