TSTP Solution File: SWC305+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC305+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 20:14:52 EDT 2022

% Result   : Theorem 7.97s 2.38s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   47 (  27 unt;   0 nHn;  47 RR)
%            Number of literals    :  107 (  15 equ;  67 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   39 (   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/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_192) ).

cnf(i_0_201,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_201) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_155) ).

cnf(i_0_194,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_194) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/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/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_154) ).

cnf(i_0_197,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_197) ).

cnf(i_0_193,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_193) ).

cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_25) ).

cnf(i_0_196,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_196) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_206) ).

cnf(i_0_69,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_69) ).

cnf(i_0_191,negated_conjecture,
    lt(esk53_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_191) ).

cnf(i_0_199,negated_conjecture,
    strictorderedP(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_199) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_58) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pkcyi85x/lgb.p',i_0_44) ).

cnf(c_0_224,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_225,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_201 ).

cnf(c_0_226,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_227,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_228,negated_conjecture,
    ssList(esk55_0),
    i_0_194 ).

cnf(c_0_229,negated_conjecture,
    ssList(esk54_0),
    i_0_195 ).

cnf(c_0_230,negated_conjecture,
    ( app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_229])]) ).

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

cnf(c_0_232,negated_conjecture,
    ssItem(esk52_0),
    i_0_197 ).

cnf(c_0_233,plain,
    ( app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_228])]) ).

cnf(c_0_234,negated_conjecture,
    ssList(esk56_0),
    i_0_193 ).

cnf(c_0_235,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_236,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk50_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_227,c_0_233]),c_0_234])]) ).

cnf(c_0_237,negated_conjecture,
    ssItem(esk53_0),
    i_0_196 ).

cnf(c_0_238,negated_conjecture,
    ssList(esk48_0),
    i_0_206 ).

cnf(c_0_239,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    i_0_69 ).

cnf(c_0_240,negated_conjecture,
    lt(esk53_0,esk52_0),
    i_0_191 ).

cnf(c_0_241,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(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_235]) ).

cnf(c_0_242,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0)) = esk50_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_236,c_0_231]),c_0_237]),c_0_234])]) ).

cnf(c_0_243,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_199 ).

cnf(c_0_244,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_238,c_0_225]) ).

cnf(c_0_245,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_239,c_0_240]),c_0_237]),c_0_232])]) ).

cnf(c_0_246,plain,
    ( ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(sr,[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]),c_0_237]),c_0_232]),c_0_244]),c_0_234]),c_0_228]),c_0_229])]),c_0_245]) ).

cnf(c_0_247,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_248,plain,
    ( ~ 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_246,c_0_247]),c_0_229])]) ).

cnf(c_0_249,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_250,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_251,plain,
    ( ~ 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_248,c_0_249]),c_0_237]),c_0_250])]) ).

cnf(c_0_252,plain,
    ~ ssList(cons(esk52_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_249]),c_0_232]),c_0_228])]) ).

cnf(c_0_253,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_249]),c_0_232]),c_0_250])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC305+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 : n014.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 08:29:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.97/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.97/2.38  # No SInE strategy applied
% 7.97/2.38  # Trying AutoSched0 for 150 seconds
% 7.97/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.97/2.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.97/2.38  #
% 7.97/2.38  # Preprocessing time       : 0.024 s
% 7.97/2.38  # Presaturation interreduction done
% 7.97/2.38  
% 7.97/2.38  # Proof found!
% 7.97/2.38  # SZS status Theorem
% 7.97/2.38  # SZS output start CNFRefutation
% See solution above
% 7.97/2.38  # Training examples: 0 positive, 0 negative
% 7.97/2.38  
% 7.97/2.38  # -------------------------------------------------
% 7.97/2.38  # User time                : 0.038 s
% 7.97/2.38  # System time              : 0.004 s
% 7.97/2.38  # Total time               : 0.042 s
% 7.97/2.38  # Maximum resident set size: 7124 pages
% 7.97/2.38  
%------------------------------------------------------------------------------