TSTP Solution File: SWC384+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 20:15:21 EDT 2022

% Result   : Theorem 7.82s 2.49s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   40 (  14 unt;  12 nHn;  40 RR)
%            Number of literals    :   85 (  26 equ;  39 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 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_98,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_98) ).

cnf(i_0_191,negated_conjecture,
    ( ~ singletonP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_191) ).

cnf(i_0_207,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_207) ).

cnf(i_0_208,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_208) ).

cnf(i_0_199,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_199) ).

cnf(i_0_210,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_210) ).

cnf(i_0_205,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_205) ).

cnf(i_0_108,plain,
    ( segmentP(app(app(X1,X2),X3),X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ segmentP(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_108) ).

cnf(i_0_197,negated_conjecture,
    ( nil = esk51_0
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_197) ).

cnf(i_0_203,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_203) ).

cnf(i_0_201,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk54_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_201) ).

cnf(i_0_206,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_206) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_107) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_42) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1pmwc2qy/lgb.p',i_0_44) ).

cnf(c_0_226,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_98 ).

cnf(c_0_227,negated_conjecture,
    ( ~ singletonP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_228,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_207 ).

cnf(c_0_229,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_208 ).

cnf(c_0_230,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_226]) ).

cnf(c_0_231,negated_conjecture,
    ( nil = esk51_0
    | cons(esk52_0,nil) = esk50_0 ),
    i_0_199 ).

cnf(c_0_232,negated_conjecture,
    ssList(esk50_0),
    i_0_210 ).

cnf(c_0_233,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk52_0) ),
    i_0_205 ).

cnf(c_0_234,plain,
    ( segmentP(app(app(X1,X2),X3),X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ segmentP(X2,X4) ),
    i_0_108 ).

cnf(c_0_235,negated_conjecture,
    ( nil = esk51_0
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    i_0_197 ).

cnf(c_0_236,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk53_0) ),
    i_0_203 ).

cnf(c_0_237,negated_conjecture,
    ( nil = esk51_0
    | ssList(esk54_0) ),
    i_0_201 ).

cnf(c_0_238,negated_conjecture,
    ( ~ segmentP(esk51_0,esk50_0)
    | ~ singletonP(esk50_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_228]) ).

cnf(c_0_239,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]),c_0_233]) ).

cnf(c_0_240,negated_conjecture,
    neq(esk49_0,nil),
    i_0_206 ).

cnf(c_0_241,negated_conjecture,
    ( esk51_0 = nil
    | segmentP(esk51_0,X1)
    | ~ ssList(X1)
    | ~ segmentP(esk50_0,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_232])]),c_0_236]),c_0_237]) ).

cnf(c_0_242,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_243,negated_conjecture,
    ( esk51_0 = nil
    | ~ segmentP(esk51_0,esk50_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_244,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_245,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_240,c_0_229]) ).

cnf(c_0_246,plain,
    esk51_0 = nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_232])]),c_0_243]) ).

cnf(c_0_247,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_244]) ).

cnf(c_0_248,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_249,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_250,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC384+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 16:48:04 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.82/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.49  # No SInE strategy applied
% 7.82/2.49  # Trying AutoSched0 for 150 seconds
% 7.82/2.49  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.82/2.49  # and selection function PSelectNewComplexAHP.
% 7.82/2.49  #
% 7.82/2.49  # Preprocessing time       : 0.023 s
% 7.82/2.49  # Presaturation interreduction done
% 7.82/2.49  
% 7.82/2.49  # Proof found!
% 7.82/2.49  # SZS status Theorem
% 7.82/2.49  # SZS output start CNFRefutation
% See solution above
% 7.82/2.49  # Training examples: 0 positive, 0 negative
% 7.82/2.49  
% 7.82/2.49  # -------------------------------------------------
% 7.82/2.49  # User time                : 0.031 s
% 7.82/2.49  # System time              : 0.005 s
% 7.82/2.49  # Total time               : 0.036 s
% 7.82/2.49  # Maximum resident set size: 7124 pages
% 7.82/2.49  
%------------------------------------------------------------------------------