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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ITP013+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 22:34:10 EDT 2022

% Result   : Theorem 13.98s 3.13s
% Output   : CNFRefutation 13.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  16 unt;   2 nHn;   9 RR)
%            Number of literals    :   20 (  15 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_104,negated_conjecture,
    p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_104) ).

cnf(i_0_6,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_6) ).

cnf(i_0_5,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_5) ).

cnf(i_0_103,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_103) ).

cnf(i_0_100,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_100) ).

cnf(i_0_101,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_101) ).

cnf(i_0_99,plain,
    s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_7iwz6c/input.p',i_0_99) ).

cnf(c_0_112,negated_conjecture,
    p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0)))),
    i_0_104 ).

cnf(c_0_113,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    i_0_6 ).

cnf(c_0_114,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    i_0_5 ).

cnf(c_0_115,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))),
    i_0_103 ).

cnf(c_0_116,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))),
    i_0_100 ).

cnf(c_0_117,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))))),
    i_0_101 ).

cnf(c_0_118,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk6_0),s(tyop_2Enum_2Enum,esk5_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_119,plain,
    s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
    i_0_99 ).

cnf(c_0_120,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk4_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))))),
    inference(rw,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_121,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk5_0),s(tyop_2Enum_2Enum,esk6_0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk5_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk6_0))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).

cnf(c_0_122,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ITP013+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Fri Jun  3 13:33:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 13.98/3.13  # ENIGMATIC: Solved by autoschedule:
% 13.98/3.13  # No SInE strategy applied
% 13.98/3.13  # Trying AutoSched0 for 150 seconds
% 13.98/3.13  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y
% 13.98/3.13  # and selection function SelectMaxLComplexAvoidPosPred.
% 13.98/3.13  #
% 13.98/3.13  # Preprocessing time       : 0.023 s
% 13.98/3.13  # Presaturation interreduction done
% 13.98/3.13  
% 13.98/3.13  # Proof found!
% 13.98/3.13  # SZS status Theorem
% 13.98/3.13  # SZS output start CNFRefutation
% See solution above
% 13.98/3.13  # Training examples: 0 positive, 0 negative
% 13.98/3.13  
% 13.98/3.13  # -------------------------------------------------
% 13.98/3.13  # User time                : 0.557 s
% 13.98/3.13  # System time              : 0.020 s
% 13.98/3.13  # Total time               : 0.577 s
% 13.98/3.13  # Maximum resident set size: 7120 pages
% 13.98/3.13  
%------------------------------------------------------------------------------