TSTP Solution File: SWC300+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC300+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 20:14:50 EDT 2022

% Result   : Theorem 8.02s 2.42s
% Output   : CNFRefutation 8.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   51 (  28 unt;   2 nHn;  51 RR)
%            Number of literals    :  123 (  17 equ;  74 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   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   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_192) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_155) ).

cnf(i_0_194,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_194) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_195) ).

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-l7xtciwg/lgb.p',i_0_154) ).

cnf(i_0_197,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_197) ).

cnf(i_0_193,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_193) ).

cnf(i_0_17,plain,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ totalorderedP(X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_17) ).

cnf(i_0_196,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    totalorderedP(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_199) ).

cnf(i_0_204,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_204) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_58) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_44) ).

cnf(i_0_69,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_69) ).

cnf(i_0_191,negated_conjecture,
    lt(esk53_0,esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_191) ).

cnf(i_0_177,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l7xtciwg/lgb.p',i_0_177) ).

cnf(c_0_223,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    i_0_192 ).

cnf(c_0_224,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_225,negated_conjecture,
    ssList(esk55_0),
    i_0_194 ).

cnf(c_0_226,negated_conjecture,
    ssList(esk54_0),
    i_0_195 ).

cnf(c_0_227,negated_conjecture,
    ( app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk48_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_226])]) ).

cnf(c_0_228,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_229,negated_conjecture,
    ssItem(esk52_0),
    i_0_197 ).

cnf(c_0_230,plain,
    ( app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk48_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_225])]) ).

cnf(c_0_231,negated_conjecture,
    ssList(esk56_0),
    i_0_193 ).

cnf(c_0_232,plain,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ totalorderedP(X6) ),
    i_0_17 ).

cnf(c_0_233,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk48_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_230]),c_0_231])]) ).

cnf(c_0_234,negated_conjecture,
    ssItem(esk53_0),
    i_0_196 ).

cnf(c_0_235,negated_conjecture,
    totalorderedP(esk50_0),
    i_0_198 ).

cnf(c_0_236,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_237,plain,
    ( leq(X1,X2)
    | ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_232]) ).

cnf(c_0_238,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0)) = esk48_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_228]),c_0_234]),c_0_231])]) ).

cnf(c_0_239,negated_conjecture,
    totalorderedP(esk48_0),
    inference(rw,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_240,negated_conjecture,
    ssList(esk48_0),
    i_0_204 ).

cnf(c_0_241,plain,
    ( leq(esk52_0,esk53_0)
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_234]),c_0_229]),c_0_240]),c_0_231]),c_0_225]),c_0_226])]) ).

cnf(c_0_242,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_243,plain,
    ( leq(esk52_0,esk53_0)
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_226])]) ).

cnf(c_0_244,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_245,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_246,plain,
    ( leq(esk52_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_234]),c_0_245])]) ).

cnf(c_0_247,plain,
    ( leq(esk52_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_244]),c_0_229]),c_0_225])]) ).

cnf(c_0_248,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    i_0_69 ).

cnf(c_0_249,negated_conjecture,
    lt(esk53_0,esk52_0),
    i_0_191 ).

cnf(c_0_250,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X1,X2) ),
    i_0_177 ).

cnf(c_0_251,plain,
    leq(esk52_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_244]),c_0_229]),c_0_245])]) ).

cnf(c_0_252,negated_conjecture,
    ~ lt(esk52_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_234]),c_0_229])]) ).

cnf(c_0_253,plain,
    esk53_0 = esk52_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_234]),c_0_229])]),c_0_252]) ).

cnf(c_0_254,negated_conjecture,
    ~ lt(esk52_0,esk52_0),
    inference(rw,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_255,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_253]),c_0_254]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC300+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 : n027.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 : Mon Jun 13 00:31:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.02/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.02/2.42  # No SInE strategy applied
% 8.02/2.42  # Trying AutoSched0 for 150 seconds
% 8.02/2.42  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.02/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.02/2.42  #
% 8.02/2.42  # Preprocessing time       : 0.025 s
% 8.02/2.42  
% 8.02/2.42  # Proof found!
% 8.02/2.42  # SZS status Theorem
% 8.02/2.42  # SZS output start CNFRefutation
% See solution above
% 8.02/2.42  # Training examples: 0 positive, 0 negative
% 8.02/2.42  
% 8.02/2.42  # -------------------------------------------------
% 8.02/2.42  # User time                : 0.048 s
% 8.02/2.42  # System time              : 0.005 s
% 8.02/2.42  # Total time               : 0.054 s
% 8.02/2.42  # Maximum resident set size: 7128 pages
% 8.02/2.42  
%------------------------------------------------------------------------------