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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ITP015+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 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 : Sat Jul 16 22:34:13 EDT 2022

% Result   : Theorem 38.77s 8.71s
% Output   : CNFRefutation 38.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Einteger__word_2Ei2w__0,conjecture,
    ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).

fof(thm_2Einteger__word_2Ei2w__w2i,axiom,
    ! [X1,X12342] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__w2i) ).

fof(thm_2Ewords_2Ew2w__0,axiom,
    ! [X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP090+4.ax',thm_2Ewords_2Ew2w__0) ).

fof(thm_2Einteger__word_2Eword__0__w2i,axiom,
    ! [X1] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Eword__0__w2i) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0]) ).

fof(c_0_5,plain,
    ! [X14127,X14128] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14127),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14127),X14128))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14127),X14128),
    inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__w2i]) ).

fof(c_0_6,plain,
    ! [X16518,X16519] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16518),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16519),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16518),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(variable_rename,[status(thm)],[thm_2Ewords_2Ew2w__0]) ).

fof(c_0_7,plain,
    ! [X16172] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16172),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Eword__0__w2i]) ).

fof(c_0_8,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_9,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP015+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.09/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Thu Jun  2 11:50:48 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected SinE mode:
% 1.50/1.72  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/1.72  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.50/1.72  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.50/1.72  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 38.77/8.71  # ENIGMATIC: Solved by autoschedule:
% 38.77/8.71  # SinE strategy is gf120_gu_R02_F100_L20000
% 38.77/8.71  # Trying AutoSched0 for 148 seconds
% 38.77/8.71  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 38.77/8.71  # and selection function PSelectComplexExceptUniqMaxHorn.
% 38.77/8.71  #
% 38.77/8.71  # Preprocessing time       : 0.374 s
% 38.77/8.71  # Presaturation interreduction done
% 38.77/8.71  
% 38.77/8.71  # Proof found!
% 38.77/8.71  # SZS status Theorem
% 38.77/8.71  # SZS output start CNFRefutation
% See solution above
% 38.77/8.71  # Training examples: 0 positive, 0 negative
% 38.77/8.71  
% 38.77/8.71  # -------------------------------------------------
% 38.77/8.71  # User time                : 3.279 s
% 38.77/8.71  # System time              : 0.138 s
% 38.77/8.71  # Total time               : 3.417 s
% 38.77/8.71  # Maximum resident set size: 68636 pages
% 38.77/8.71  
%------------------------------------------------------------------------------