TSTP Solution File: ITP001+5 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ITP001+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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  : 300s
% DateTime : Thu Aug 31 03:10:06 EDT 2023

% Result   : Theorem 0.18s 0.59s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   90
% Syntax   : Number of formulae    :   93 (   4 unt;  89 typ;   0 def)
%            Number of atoms       :    4 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  147 (  75   >;  72   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   86 (  86 usr;  14 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    bool: $i ).

tff(decl_23,type,
    ne: $i > $o ).

tff(decl_24,type,
    ind: $i ).

tff(decl_25,type,
    arr: ( $i * $i ) > $i ).

tff(decl_26,type,
    mem: ( $i * $i ) > $o ).

tff(decl_27,type,
    ap: ( $i * $i ) > $i ).

tff(decl_28,type,
    p: $i > $o ).

tff(decl_29,type,
    k: ( $i * $i ) > $i ).

tff(decl_30,type,
    i: $i > $i ).

tff(decl_31,type,
    c_2Emin_2E_3D: $i > $i ).

tff(decl_32,type,
    c_2Emin_2E_3D_3D_3E: $i ).

tff(decl_33,type,
    c_2Emin_2E_40: $i > $i ).

tff(decl_34,type,
    ty_2Ebool_2Eitself: $i > $i ).

tff(decl_35,type,
    c_2Ebool_2E_21: $i > $i ).

tff(decl_36,type,
    c_2Ebool_2E_2F_5C: $i ).

tff(decl_37,type,
    c_2Ebool_2E_3F: $i > $i ).

tff(decl_38,type,
    c_2Ebool_2E_3F_21: $i > $i ).

tff(decl_39,type,
    c_2Ebool_2EARB: $i > $i ).

tff(decl_40,type,
    c_2Ebool_2EBOUNDED: $i ).

tff(decl_41,type,
    c_2Ebool_2ECOND: $i > $i ).

tff(decl_42,type,
    c_2Ebool_2EDATATYPE: $i > $i ).

tff(decl_43,type,
    c_2Ebool_2EF: $i ).

tff(decl_44,type,
    c_2Ebool_2EIN: $i > $i ).

tff(decl_45,type,
    c_2Ebool_2ELET: ( $i * $i ) > $i ).

tff(decl_46,type,
    c_2Ebool_2EONE__ONE: ( $i * $i ) > $i ).

tff(decl_47,type,
    c_2Ebool_2EONTO: ( $i * $i ) > $i ).

tff(decl_48,type,
    c_2Ebool_2ERES__ABSTRACT: ( $i * $i ) > $i ).

tff(decl_49,type,
    c_2Ebool_2ERES__EXISTS: $i > $i ).

tff(decl_50,type,
    c_2Ebool_2ERES__EXISTS__UNIQUE: $i > $i ).

tff(decl_51,type,
    c_2Ebool_2ERES__FORALL: $i > $i ).

tff(decl_52,type,
    c_2Ebool_2ERES__SELECT: $i > $i ).

tff(decl_53,type,
    c_2Ebool_2ET: $i ).

tff(decl_54,type,
    c_2Ebool_2ETYPE__DEFINITION: ( $i * $i ) > $i ).

tff(decl_55,type,
    c_2Ebool_2E_5C_2F: $i ).

tff(decl_56,type,
    c_2Ebool_2Eitself__case: ( $i * $i ) > $i ).

tff(decl_57,type,
    c_2Ebool_2Eliteral__case: ( $i * $i ) > $i ).

tff(decl_58,type,
    c_2Ebool_2Ethe__value: $i > $i ).

tff(decl_59,type,
    c_2Ebool_2E_7E: $i ).

tff(decl_60,type,
    f1: $i > $i ).

tff(decl_61,type,
    f2: $i > $i ).

tff(decl_62,type,
    f3: ( $i * $i ) > $i ).

tff(decl_63,type,
    f4: $i > $i ).

tff(decl_64,type,
    f5: $i ).

tff(decl_65,type,
    f6: ( $i * $i ) > $i ).

tff(decl_66,type,
    f7: $i > $i ).

tff(decl_67,type,
    f8: $i ).

tff(decl_68,type,
    f9: $i ).

tff(decl_69,type,
    f10: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    f11: ( $i * $i ) > $i ).

tff(decl_71,type,
    f12: $i > $i ).

tff(decl_72,type,
    f13: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    f14: ( $i * $i ) > $i ).

tff(decl_74,type,
    f15: ( $i * $i * $i * $i ) > $i ).

tff(decl_75,type,
    f16: ( $i * $i * $i ) > $i ).

tff(decl_76,type,
    f17: ( $i * $i ) > $i ).

tff(decl_77,type,
    f18: $i > $i ).

tff(decl_78,type,
    f19: ( $i * $i * $i * $i ) > $i ).

tff(decl_79,type,
    f20: ( $i * $i * $i ) > $i ).

tff(decl_80,type,
    f21: ( $i * $i ) > $i ).

tff(decl_81,type,
    f22: ( $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    f23: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    f24: ( $i * $i ) > $i ).

tff(decl_84,type,
    f25: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    f26: ( $i * $i * $i ) > $i ).

tff(decl_86,type,
    f27: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    f28: ( $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    f29: ( $i * $i * $i ) > $i ).

tff(decl_89,type,
    f30: ( $i * $i ) > $i ).

tff(decl_90,type,
    f31: ( $i * $i * $i ) > $i ).

tff(decl_91,type,
    f32: ( $i * $i ) > $i ).

tff(decl_92,type,
    f33: $i > $i ).

tff(decl_93,type,
    f34: ( $i * $i * $i ) > $i ).

tff(decl_94,type,
    f35: ( $i * $i ) > $i ).

tff(decl_95,type,
    f36: $i > $i ).

tff(decl_96,type,
    f37: ( $i * $i * $i ) > $i ).

tff(decl_97,type,
    f38: ( $i * $i ) > $i ).

tff(decl_98,type,
    f39: $i > $i ).

tff(decl_99,type,
    f40: ( $i * $i ) > $i ).

tff(decl_100,type,
    f41: ( $i * $i * $i ) > $i ).

tff(decl_101,type,
    f42: ( $i * $i * $i ) > $i ).

tff(decl_102,type,
    f43: ( $i * $i ) > $i ).

tff(decl_103,type,
    f44: $i > $i ).

tff(decl_104,type,
    f45: ( $i * $i ) > $i ).

tff(decl_105,type,
    f46: $i > $i ).

tff(decl_106,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_107,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_108,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_109,type,
    esk4_0: $i ).

tff(decl_110,type,
    esk5_0: $i ).

fof(conj_thm_2Ebool_2ETRUTH,conjecture,
    $true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).

fof(c_0_1,negated_conjecture,
    ~ $true,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Ebool_2ETRUTH])]) ).

cnf(c_0_2,negated_conjecture,
    $false,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_3,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[c_0_2]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP001+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun Aug 27 16:22:12 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.18/0.56  start to proof: theBenchmark
% 0.18/0.59  % Version  : CSE_E---1.5
% 0.18/0.59  % Problem  : theBenchmark.p
% 0.18/0.59  % Proof found
% 0.18/0.59  % SZS status Theorem for theBenchmark.p
% 0.18/0.59  % SZS output start Proof
% See solution above
% 0.18/0.59  % Total time : 0.014000 s
% 0.18/0.59  % SZS output end Proof
% 0.18/0.59  % Total time : 0.020000 s
%------------------------------------------------------------------------------