TSTP Solution File: KRS193+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n015.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 05:40:48 EDT 2023

% Result   : Theorem 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  101
% Syntax   : Number of formulae    :  113 (   4 unt;  97 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   41 (  15   ~;  16   |;   5   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  119 (  60   >;  59   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   90 (  90 usr;  37 con; 0-2 aty)
%            Number of variables   :   39 (   4 sgn;  25   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    model: ( $i * $i ) > $o ).

tff(decl_23,type,
    unp: $i ).

tff(decl_24,type,
    status: ( $i * $i * $i ) > $o ).

tff(decl_25,type,
    sap: $i ).

tff(decl_26,type,
    esa: $i ).

tff(decl_27,type,
    sat: $i ).

tff(decl_28,type,
    thm: $i ).

tff(decl_29,type,
    eqv: $i ).

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

tff(decl_31,type,
    wec: $i ).

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

tff(decl_33,type,
    tau: $i ).

tff(decl_34,type,
    wtc: $i ).

tff(decl_35,type,
    wth: $i ).

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

tff(decl_37,type,
    sca: $i ).

tff(decl_38,type,
    tca: $i ).

tff(decl_39,type,
    wca: $i ).

tff(decl_40,type,
    not: $i > $i ).

tff(decl_41,type,
    csa: $i ).

tff(decl_42,type,
    uns: $i ).

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

tff(decl_44,type,
    mighta: ( $i * $i ) > $o ).

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

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

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

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

tff(decl_49,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_50,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_51,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_52,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_53,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_55,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_57,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_58,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_59,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_60,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_61,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_62,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_63,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_64,type,
    esk16_2: ( $i * $i ) > $i ).

tff(decl_65,type,
    esk17_2: ( $i * $i ) > $i ).

tff(decl_66,type,
    esk18_2: ( $i * $i ) > $i ).

tff(decl_67,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_68,type,
    esk20_2: ( $i * $i ) > $i ).

tff(decl_69,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_70,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_71,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_72,type,
    esk24_2: ( $i * $i ) > $i ).

tff(decl_73,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_74,type,
    esk26_2: ( $i * $i ) > $i ).

tff(decl_75,type,
    esk27_2: ( $i * $i ) > $i ).

tff(decl_76,type,
    esk28_2: ( $i * $i ) > $i ).

tff(decl_77,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_78,type,
    esk30_1: $i > $i ).

tff(decl_79,type,
    esk31_2: ( $i * $i ) > $i ).

tff(decl_80,type,
    esk32_2: ( $i * $i ) > $i ).

tff(decl_81,type,
    esk33_2: ( $i * $i ) > $i ).

tff(decl_82,type,
    esk34_2: ( $i * $i ) > $i ).

tff(decl_83,type,
    esk35_2: ( $i * $i ) > $i ).

tff(decl_84,type,
    esk36_2: ( $i * $i ) > $i ).

tff(decl_85,type,
    esk37_2: ( $i * $i ) > $i ).

tff(decl_86,type,
    esk38_2: ( $i * $i ) > $i ).

tff(decl_87,type,
    esk39_2: ( $i * $i ) > $i ).

tff(decl_88,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_89,type,
    esk41_2: ( $i * $i ) > $i ).

tff(decl_90,type,
    esk42_2: ( $i * $i ) > $i ).

tff(decl_91,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_92,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_93,type,
    esk45_2: ( $i * $i ) > $i ).

tff(decl_94,type,
    esk46_2: ( $i * $i ) > $i ).

tff(decl_95,type,
    esk47_2: ( $i * $i ) > $i ).

tff(decl_96,type,
    esk48_2: ( $i * $i ) > $i ).

tff(decl_97,type,
    esk49_2: ( $i * $i ) > $i ).

tff(decl_98,type,
    esk50_2: ( $i * $i ) > $i ).

tff(decl_99,type,
    esk51_2: ( $i * $i ) > $i ).

tff(decl_100,type,
    esk52_2: ( $i * $i ) > $i ).

tff(decl_101,type,
    esk53_0: $i ).

tff(decl_102,type,
    esk54_0: $i ).

tff(decl_103,type,
    esk55_0: $i ).

tff(decl_104,type,
    esk56_0: $i ).

tff(decl_105,type,
    esk57_0: $i ).

tff(decl_106,type,
    esk58_0: $i ).

tff(decl_107,type,
    esk59_0: $i ).

tff(decl_108,type,
    esk60_0: $i ).

tff(decl_109,type,
    esk61_0: $i ).

tff(decl_110,type,
    esk62_0: $i ).

tff(decl_111,type,
    esk63_0: $i ).

tff(decl_112,type,
    esk64_0: $i ).

tff(decl_113,type,
    esk65_0: $i ).

tff(decl_114,type,
    esk66_0: $i ).

tff(decl_115,type,
    esk67_0: $i ).

tff(decl_116,type,
    esk68_0: $i ).

tff(decl_117,type,
    esk69_0: $i ).

tff(decl_118,type,
    esk70_0: $i ).

fof(cax,axiom,
    ! [X1,X2] :
      ( ~ ? [X3] : model(X3,X1)
    <=> status(X1,X2,cax) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).

fof(isa,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => status(X1,X2,X8) )
    <=> isa(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).

fof(isa_cax_thm,conjecture,
    isa(cax,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_cax_thm) ).

fof(c_0_4,plain,
    ! [X119,X121,X122,X123,X124] :
      ( ( model(esk30_1(X119),X119)
        | status(X119,X121,cax) )
      & ( ~ status(X122,X123,cax)
        | ~ model(X124,X122) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[cax])])])])]) ).

fof(c_0_5,plain,
    ! [X181,X182,X185,X186,X187,X188] :
      ( ( status(esk45_2(X181,X182),esk46_2(X181,X182),X181)
        | isa(X181,X182) )
      & ( ~ status(esk45_2(X181,X182),esk46_2(X181,X182),X182)
        | isa(X181,X182) )
      & ( ~ isa(X185,X186)
        | ~ status(X187,X188,X185)
        | status(X187,X188,X186) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])]) ).

cnf(c_0_6,plain,
    ( ~ status(X1,X2,cax)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( status(esk45_2(X1,X2),esk46_2(X1,X2),X1)
    | isa(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X45,X46,X48,X49,X50] :
      ( ( model(esk10_2(X45,X46),X45)
        | status(X45,X46,thm) )
      & ( ~ model(esk10_2(X45,X46),X46)
        | status(X45,X46,thm) )
      & ( ~ status(X48,X49,thm)
        | ~ model(X50,X48)
        | model(X50,X49) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])]) ).

cnf(c_0_9,plain,
    ( isa(cax,X1)
    | ~ model(X2,esk45_2(cax,X1)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    ( model(esk10_2(X1,X2),X1)
    | status(X1,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,negated_conjecture,
    ~ isa(cax,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_cax_thm])]) ).

cnf(c_0_12,plain,
    ( isa(X1,X2)
    | ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,plain,
    ( isa(cax,X1)
    | status(esk45_2(cax,X1),X2,thm) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ~ isa(cax,thm),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 02:04:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.022000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.026000 s
%------------------------------------------------------------------------------