TSTP Solution File: KRS148+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 05:40:37 EDT 2023

% Result   : Theorem 0.21s 0.65s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  129
% Syntax   : Number of formulae    :  160 (  12 unt; 120 typ;   0 def)
%            Number of atoms       :  138 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  172 (  74   ~;  63   |;  27   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  116 ( 115   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   78 (  77 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;   5 con; 0-1 aty)
%            Number of variables   :   24 (   2 sgn;  17   !;   0   ?;   0   :)

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

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

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

tff(decl_25,type,
    xsd_integer: $i > $o ).

tff(decl_26,type,
    cC10: $i > $o ).

tff(decl_27,type,
    cC8: $i > $o ).

tff(decl_28,type,
    cC2: $i > $o ).

tff(decl_29,type,
    cC100: $i > $o ).

tff(decl_30,type,
    cC98: $i > $o ).

tff(decl_31,type,
    cC94: $i > $o ).

tff(decl_32,type,
    cC102: $i > $o ).

tff(decl_33,type,
    rR1: ( $i * $i ) > $o ).

tff(decl_34,type,
    cC104: $i > $o ).

tff(decl_35,type,
    cC88: $i > $o ).

tff(decl_36,type,
    cC106: $i > $o ).

tff(decl_37,type,
    cC108: $i > $o ).

tff(decl_38,type,
    cC84: $i > $o ).

tff(decl_39,type,
    cC110: $i > $o ).

tff(decl_40,type,
    cC62: $i > $o ).

tff(decl_41,type,
    cC112: $i > $o ).

tff(decl_42,type,
    cC114: $i > $o ).

tff(decl_43,type,
    cC116: $i > $o ).

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

tff(decl_45,type,
    cC118: $i > $o ).

tff(decl_46,type,
    cC12: $i > $o ).

tff(decl_47,type,
    cC120: $i > $o ).

tff(decl_48,type,
    cC122: $i > $o ).

tff(decl_49,type,
    cC124: $i > $o ).

tff(decl_50,type,
    cC126: $i > $o ).

tff(decl_51,type,
    cC128: $i > $o ).

tff(decl_52,type,
    cC130: $i > $o ).

tff(decl_53,type,
    cC132: $i > $o ).

tff(decl_54,type,
    cC134: $i > $o ).

tff(decl_55,type,
    cC136: $i > $o ).

tff(decl_56,type,
    cC138: $i > $o ).

tff(decl_57,type,
    cC14: $i > $o ).

tff(decl_58,type,
    cC140: $i > $o ).

tff(decl_59,type,
    cC16: $i > $o ).

tff(decl_60,type,
    cC18: $i > $o ).

tff(decl_61,type,
    cC20: $i > $o ).

tff(decl_62,type,
    cC22: $i > $o ).

tff(decl_63,type,
    cC24: $i > $o ).

tff(decl_64,type,
    cC26: $i > $o ).

tff(decl_65,type,
    cC28: $i > $o ).

tff(decl_66,type,
    cC30: $i > $o ).

tff(decl_67,type,
    cC32: $i > $o ).

tff(decl_68,type,
    cC34: $i > $o ).

tff(decl_69,type,
    cC36: $i > $o ).

tff(decl_70,type,
    cC38: $i > $o ).

tff(decl_71,type,
    cC4: $i > $o ).

tff(decl_72,type,
    cC40: $i > $o ).

tff(decl_73,type,
    cC42: $i > $o ).

tff(decl_74,type,
    cC44: $i > $o ).

tff(decl_75,type,
    cC46: $i > $o ).

tff(decl_76,type,
    cC48: $i > $o ).

tff(decl_77,type,
    cC50: $i > $o ).

tff(decl_78,type,
    cC52: $i > $o ).

tff(decl_79,type,
    cC54: $i > $o ).

tff(decl_80,type,
    cC56: $i > $o ).

tff(decl_81,type,
    cC58: $i > $o ).

tff(decl_82,type,
    cC6: $i > $o ).

tff(decl_83,type,
    cC60: $i > $o ).

tff(decl_84,type,
    cC64: $i > $o ).

tff(decl_85,type,
    cC66: $i > $o ).

tff(decl_86,type,
    cC68: $i > $o ).

tff(decl_87,type,
    cC70: $i > $o ).

tff(decl_88,type,
    cC72: $i > $o ).

tff(decl_89,type,
    cC74: $i > $o ).

tff(decl_90,type,
    cC76: $i > $o ).

tff(decl_91,type,
    cC78: $i > $o ).

tff(decl_92,type,
    cC80: $i > $o ).

tff(decl_93,type,
    cC82: $i > $o ).

tff(decl_94,type,
    cC86: $i > $o ).

tff(decl_95,type,
    cC90: $i > $o ).

tff(decl_96,type,
    cC92: $i > $o ).

tff(decl_97,type,
    cC96: $i > $o ).

tff(decl_98,type,
    cTEST: $i > $o ).

tff(decl_99,type,
    iV5475: $i ).

tff(decl_100,type,
    iV5476: $i ).

tff(decl_101,type,
    iV5478: $i ).

tff(decl_102,type,
    esk1_1: $i > $i ).

tff(decl_103,type,
    esk2_1: $i > $i ).

tff(decl_104,type,
    esk3_1: $i > $i ).

tff(decl_105,type,
    esk4_1: $i > $i ).

tff(decl_106,type,
    esk5_1: $i > $i ).

tff(decl_107,type,
    esk6_1: $i > $i ).

tff(decl_108,type,
    esk7_1: $i > $i ).

tff(decl_109,type,
    esk8_1: $i > $i ).

tff(decl_110,type,
    esk9_1: $i > $i ).

tff(decl_111,type,
    esk10_1: $i > $i ).

tff(decl_112,type,
    esk11_1: $i > $i ).

tff(decl_113,type,
    esk12_1: $i > $i ).

tff(decl_114,type,
    esk13_1: $i > $i ).

tff(decl_115,type,
    esk14_1: $i > $i ).

tff(decl_116,type,
    esk15_1: $i > $i ).

tff(decl_117,type,
    esk16_1: $i > $i ).

tff(decl_118,type,
    esk17_1: $i > $i ).

tff(decl_119,type,
    esk18_1: $i > $i ).

tff(decl_120,type,
    esk19_1: $i > $i ).

tff(decl_121,type,
    esk20_1: $i > $i ).

tff(decl_122,type,
    esk21_1: $i > $i ).

tff(decl_123,type,
    esk22_1: $i > $i ).

tff(decl_124,type,
    esk23_1: $i > $i ).

tff(decl_125,type,
    esk24_1: $i > $i ).

tff(decl_126,type,
    esk25_1: $i > $i ).

tff(decl_127,type,
    esk26_1: $i > $i ).

tff(decl_128,type,
    esk27_1: $i > $i ).

tff(decl_129,type,
    esk28_1: $i > $i ).

tff(decl_130,type,
    esk29_1: $i > $i ).

tff(decl_131,type,
    esk30_1: $i > $i ).

tff(decl_132,type,
    esk31_1: $i > $i ).

tff(decl_133,type,
    esk32_1: $i > $i ).

tff(decl_134,type,
    esk33_1: $i > $i ).

tff(decl_135,type,
    esk34_1: $i > $i ).

tff(decl_136,type,
    esk35_1: $i > $i ).

tff(decl_137,type,
    esk36_1: $i > $i ).

tff(decl_138,type,
    esk37_1: $i > $i ).

tff(decl_139,type,
    esk38_1: $i > $i ).

tff(decl_140,type,
    esk39_0: $i ).

tff(decl_141,type,
    esk40_0: $i ).

fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC138(iV5475)
    & cowlThing(iV5475)
    & cC116(iV5475)
    & cC140(iV5475) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_25,axiom,
    ! [X1] :
      ( cC140(X1)
    <=> ( cTOP(X1)
        & cC138(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(axiom_11,axiom,
    ! [X1] :
      ( cC116(X1)
    <=> ( cTOP(X1)
        & ~ cC114(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(axiom_76,axiom,
    ~ cC114(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(axiom_73,axiom,
    cTOP(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).

fof(axiom_71,axiom,
    ! [X1] :
      ( cTEST(X1)
    <=> ( cC140(X1)
        & cC116(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

fof(axiom_72,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).

fof(c_0_9,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC138(iV5475)
      & cowlThing(iV5475)
      & cC116(iV5475)
      & cC140(iV5475) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_11,negated_conjecture,
    ( ( ~ xsd_string(esk40_0)
      | xsd_integer(esk40_0)
      | ~ cowlThing(esk39_0)
      | cowlNothing(esk39_0)
      | ~ cC138(iV5475)
      | ~ cowlThing(iV5475)
      | ~ cC116(iV5475)
      | ~ cC140(iV5475) )
    & ( xsd_string(esk40_0)
      | ~ xsd_integer(esk40_0)
      | ~ cowlThing(esk39_0)
      | cowlNothing(esk39_0)
      | ~ cC138(iV5475)
      | ~ cowlThing(iV5475)
      | ~ cC116(iV5475)
      | ~ cC140(iV5475) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).

fof(c_0_12,plain,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_14,negated_conjecture,
    ( xsd_integer(esk40_0)
    | cowlNothing(esk39_0)
    | ~ xsd_string(esk40_0)
    | ~ cowlThing(esk39_0)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X4] :
      ( ( ~ xsd_string(X4)
        | ~ xsd_integer(X4) )
      & ( xsd_integer(X4)
        | xsd_string(X4) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

fof(c_0_17,plain,
    ! [X67] :
      ( ( cTOP(X67)
        | ~ cC140(X67) )
      & ( cC138(X67)
        | ~ cC140(X67) )
      & ( ~ cTOP(X67)
        | ~ cC138(X67)
        | cC140(X67) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_25])])]) ).

cnf(c_0_18,negated_conjecture,
    ( xsd_string(esk40_0)
    | cowlNothing(esk39_0)
    | ~ xsd_integer(esk40_0)
    | ~ cowlThing(esk39_0)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_19,plain,
    ! [X1] :
      ( cC116(X1)
    <=> ( cTOP(X1)
        & ~ cC114(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_11]) ).

cnf(c_0_20,negated_conjecture,
    ( cowlNothing(esk39_0)
    | xsd_integer(esk40_0)
    | ~ xsd_string(esk40_0)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]) ).

cnf(c_0_21,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( cC138(X1)
    | ~ cC140(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( cowlNothing(esk39_0)
    | xsd_string(esk40_0)
    | ~ xsd_integer(esk40_0)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_15]),c_0_15])]) ).

fof(c_0_25,plain,
    ! [X26] :
      ( ( cTOP(X26)
        | ~ cC116(X26) )
      & ( ~ cC114(X26)
        | ~ cC116(X26) )
      & ( ~ cTOP(X26)
        | cC114(X26)
        | cC116(X26) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

fof(c_0_26,plain,
    ~ cC114(iV5475),
    inference(fof_simplification,[status(thm)],[axiom_76]) ).

cnf(c_0_27,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    ( xsd_integer(esk40_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( xsd_string(esk40_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24,c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_30,plain,
    ( cC114(X1)
    | cC116(X1)
    | ~ cTOP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    cTOP(iV5475),
    inference(split_conjunct,[status(thm)],[axiom_73]) ).

cnf(c_0_32,plain,
    ~ cC114(iV5475),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_33,plain,
    ! [X188] :
      ( ( cC140(X188)
        | ~ cTEST(X188) )
      & ( cC116(X188)
        | ~ cTEST(X188) )
      & ( ~ cC140(X188)
        | ~ cC116(X188)
        | cTEST(X188) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_71])])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_35,plain,
    cC116(iV5475),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_36,plain,
    ( cC140(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    cTEST(iV5475),
    inference(split_conjunct,[status(thm)],[axiom_72]) ).

cnf(c_0_38,negated_conjecture,
    ~ cC140(iV5475),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_39,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n025.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 01:16:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.60  start to proof: theBenchmark
% 0.21/0.65  % Version  : CSE_E---1.5
% 0.21/0.65  % Problem  : theBenchmark.p
% 0.21/0.65  % Proof found
% 0.21/0.65  % SZS status Theorem for theBenchmark.p
% 0.21/0.65  % SZS output start Proof
% See solution above
% 0.21/0.66  % Total time : 0.045000 s
% 0.21/0.66  % SZS output end Proof
% 0.21/0.66  % Total time : 0.048000 s
%------------------------------------------------------------------------------