TSTP Solution File: KRS146+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS146+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n010.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 05:40:36 EDT 2023

% Result   : Theorem 0.20s 0.62s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  115
% Syntax   : Number of formulae    :  190 (  42 unt;  92 typ;   0 def)
%            Number of atoms       :  316 (   0 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  408 ( 190   ~; 143   |;  57   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   90 (  89   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   77 (  76 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   3 con; 0-1 aty)
%            Number of variables   :   48 (   2 sgn;  32   !;   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,
    cC100: $i > $o ).

tff(decl_27,type,
    rR1: ( $i * $i ) > $o ).

tff(decl_28,type,
    cC98: $i > $o ).

tff(decl_29,type,
    cC102: $i > $o ).

tff(decl_30,type,
    cC34: $i > $o ).

tff(decl_31,type,
    cC104: $i > $o ).

tff(decl_32,type,
    cC4: $i > $o ).

tff(decl_33,type,
    cC106: $i > $o ).

tff(decl_34,type,
    cC108: $i > $o ).

tff(decl_35,type,
    cC110: $i > $o ).

tff(decl_36,type,
    cC112: $i > $o ).

tff(decl_37,type,
    cC114: $i > $o ).

tff(decl_38,type,
    cC96: $i > $o ).

tff(decl_39,type,
    cC116: $i > $o ).

tff(decl_40,type,
    cC80: $i > $o ).

tff(decl_41,type,
    cC118: $i > $o ).

tff(decl_42,type,
    cC10: $i > $o ).

tff(decl_43,type,
    cC12: $i > $o ).

tff(decl_44,type,
    cC120: $i > $o ).

tff(decl_45,type,
    cC122: $i > $o ).

tff(decl_46,type,
    cC124: $i > $o ).

tff(decl_47,type,
    cC126: $i > $o ).

tff(decl_48,type,
    cC128: $i > $o ).

tff(decl_49,type,
    cC130: $i > $o ).

tff(decl_50,type,
    cC132: $i > $o ).

tff(decl_51,type,
    cC2: $i > $o ).

tff(decl_52,type,
    cC134: $i > $o ).

tff(decl_53,type,
    cC136: $i > $o ).

tff(decl_54,type,
    cC138: $i > $o ).

tff(decl_55,type,
    cC14: $i > $o ).

tff(decl_56,type,
    cC8: $i > $o ).

tff(decl_57,type,
    cC140: $i > $o ).

tff(decl_58,type,
    cC74: $i > $o ).

tff(decl_59,type,
    cC18: $i > $o ).

tff(decl_60,type,
    cC16: $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,
    cC36: $i > $o ).

tff(decl_69,type,
    cC38: $i > $o ).

tff(decl_70,type,
    cC40: $i > $o ).

tff(decl_71,type,
    cC42: $i > $o ).

tff(decl_72,type,
    cC44: $i > $o ).

tff(decl_73,type,
    cC46: $i > $o ).

tff(decl_74,type,
    cC48: $i > $o ).

tff(decl_75,type,
    cC50: $i > $o ).

tff(decl_76,type,
    cC52: $i > $o ).

tff(decl_77,type,
    cC54: $i > $o ).

tff(decl_78,type,
    cC56: $i > $o ).

tff(decl_79,type,
    cC58: $i > $o ).

tff(decl_80,type,
    cC6: $i > $o ).

tff(decl_81,type,
    cC60: $i > $o ).

tff(decl_82,type,
    cC62: $i > $o ).

tff(decl_83,type,
    cC64: $i > $o ).

tff(decl_84,type,
    cC66: $i > $o ).

tff(decl_85,type,
    cC68: $i > $o ).

tff(decl_86,type,
    cC70: $i > $o ).

tff(decl_87,type,
    cC72: $i > $o ).

tff(decl_88,type,
    cC76: $i > $o ).

tff(decl_89,type,
    cC78: $i > $o ).

tff(decl_90,type,
    cC82: $i > $o ).

tff(decl_91,type,
    cC84: $i > $o ).

tff(decl_92,type,
    cC86: $i > $o ).

tff(decl_93,type,
    cC88: $i > $o ).

tff(decl_94,type,
    cC90: $i > $o ).

tff(decl_95,type,
    cC92: $i > $o ).

tff(decl_96,type,
    cC94: $i > $o ).

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

tff(decl_98,type,
    iV822576: $i ).

tff(decl_99,type,
    esk1_1: $i > $i ).

tff(decl_100,type,
    esk2_1: $i > $i ).

tff(decl_101,type,
    esk3_1: $i > $i ).

tff(decl_102,type,
    esk4_1: $i > $i ).

tff(decl_103,type,
    esk5_1: $i > $i ).

tff(decl_104,type,
    esk6_1: $i > $i ).

tff(decl_105,type,
    esk7_1: $i > $i ).

tff(decl_106,type,
    esk8_1: $i > $i ).

tff(decl_107,type,
    esk9_1: $i > $i ).

tff(decl_108,type,
    esk10_1: $i > $i ).

tff(decl_109,type,
    esk11_1: $i > $i ).

tff(decl_110,type,
    esk12_1: $i > $i ).

tff(decl_111,type,
    esk13_1: $i > $i ).

tff(decl_112,type,
    esk14_0: $i ).

tff(decl_113,type,
    esk15_0: $i ).

fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC94(iV822576)
    & cowlThing(iV822576)
    & cC58(iV822576)
    & cC116(iV822576)
    & cC56(iV822576)
    & cC110(iV822576)
    & cC114(iV822576)
    & cC136(iV822576)
    & cC80(iV822576) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_21,axiom,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC116(X1)
        & ~ cC134(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(axiom_10,axiom,
    ! [X1] :
      ( cC116(X1)
    <=> ( cC114(X1)
        & cC80(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(axiom_44,axiom,
    ! [X1] :
      ( cC58(X1)
    <=> ( cC34(X1)
        & cC56(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cC110(X1)
    <=> ( ~ cC102(X1)
        & ~ cC108(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_64,axiom,
    ! [X1] :
      ( cC94(X1)
    <=> ( ~ cC86(X1)
        & ~ cC92(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

fof(axiom_57,axiom,
    ! [X1] :
      ( cC80(X1)
    <=> ( ~ cC78(X1)
        & ~ cC76(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(axiom_79,axiom,
    ~ cC108(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(axiom_70,axiom,
    ~ cC102(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

fof(axiom_78,axiom,
    ~ cC92(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).

fof(axiom_77,axiom,
    ~ cC86(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

fof(axiom_88,axiom,
    ~ cC78(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).

fof(axiom_86,axiom,
    ~ cC76(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).

fof(axiom_71,axiom,
    ~ cC134(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(axiom_9,axiom,
    ! [X1] :
      ( cC114(X1)
    <=> ( ~ cC96(X1)
        & ~ cC112(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_76,axiom,
    ~ cC96(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

fof(axiom_87,axiom,
    ~ cC112(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

fof(axiom_43,axiom,
    ! [X1] :
      ( cC56(X1)
    <=> ( cC4(X1)
        & ~ cC10(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

fof(axiom_84,axiom,
    ~ cC10(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

fof(axiom_75,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(axiom_74,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(c_0_23,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC94(iV822576)
      & cowlThing(iV822576)
      & cC58(iV822576)
      & cC116(iV822576)
      & cC56(iV822576)
      & cC110(iV822576)
      & cC114(iV822576)
      & cC136(iV822576)
      & cC80(iV822576) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_25,negated_conjecture,
    ( ( ~ xsd_string(esk15_0)
      | xsd_integer(esk15_0)
      | ~ cowlThing(esk14_0)
      | cowlNothing(esk14_0)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC56(iV822576)
      | ~ cC110(iV822576)
      | ~ cC114(iV822576)
      | ~ cC136(iV822576)
      | ~ cC80(iV822576) )
    & ( xsd_string(esk15_0)
      | ~ xsd_integer(esk15_0)
      | ~ cowlThing(esk14_0)
      | cowlNothing(esk14_0)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC56(iV822576)
      | ~ cC110(iV822576)
      | ~ cC114(iV822576)
      | ~ cC136(iV822576)
      | ~ cC80(iV822576) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

fof(c_0_26,plain,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_28,plain,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC116(X1)
        & ~ cC134(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_21]) ).

cnf(c_0_29,negated_conjecture,
    ( xsd_string(esk15_0)
    | cowlNothing(esk14_0)
    | ~ xsd_integer(esk15_0)
    | ~ cowlThing(esk14_0)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_31,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_27])]) ).

fof(c_0_32,plain,
    ! [X19] :
      ( ( cC114(X19)
        | ~ cC116(X19) )
      & ( cC80(X19)
        | ~ cC116(X19) )
      & ( ~ cC114(X19)
        | ~ cC80(X19)
        | cC116(X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).

fof(c_0_33,plain,
    ! [X36] :
      ( ( cC116(X36)
        | ~ cC136(X36) )
      & ( ~ cC134(X36)
        | ~ cC136(X36) )
      & ( ~ cC116(X36)
        | cC134(X36)
        | cC136(X36) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

fof(c_0_34,plain,
    ! [X74] :
      ( ( cC34(X74)
        | ~ cC58(X74) )
      & ( cC56(X74)
        | ~ cC58(X74) )
      & ( ~ cC34(X74)
        | ~ cC56(X74)
        | cC58(X74) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_44])])]) ).

fof(c_0_35,plain,
    ! [X1] :
      ( cC110(X1)
    <=> ( ~ cC102(X1)
        & ~ cC108(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_7]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( cC94(X1)
    <=> ( ~ cC86(X1)
        & ~ cC92(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_64]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( cC80(X1)
    <=> ( ~ cC78(X1)
        & ~ cC76(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_57]) ).

cnf(c_0_38,negated_conjecture,
    ( xsd_integer(esk15_0)
    | cowlNothing(esk14_0)
    | ~ xsd_string(esk15_0)
    | ~ cowlThing(esk14_0)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_39,negated_conjecture,
    ( cowlNothing(esk14_0)
    | xsd_string(esk15_0)
    | ~ xsd_integer(esk15_0)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC94(iV822576) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30])]) ).

cnf(c_0_40,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_41,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,plain,
    ( cC114(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,plain,
    ( cC116(X1)
    | ~ cC136(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,plain,
    ( cC56(X1)
    | ~ cC58(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_45,plain,
    ~ cC108(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_79]) ).

fof(c_0_46,plain,
    ! [X16] :
      ( ( ~ cC102(X16)
        | ~ cC110(X16) )
      & ( ~ cC108(X16)
        | ~ cC110(X16) )
      & ( cC102(X16)
        | cC108(X16)
        | cC110(X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

fof(c_0_47,plain,
    ~ cC102(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_70]) ).

fof(c_0_48,plain,
    ~ cC92(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_78]) ).

fof(c_0_49,plain,
    ! [X106] :
      ( ( ~ cC86(X106)
        | ~ cC94(X106) )
      & ( ~ cC92(X106)
        | ~ cC94(X106) )
      & ( cC86(X106)
        | cC92(X106)
        | cC94(X106) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

fof(c_0_50,plain,
    ~ cC86(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_77]) ).

fof(c_0_51,plain,
    ~ cC78(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_88]) ).

fof(c_0_52,plain,
    ! [X93] :
      ( ( ~ cC78(X93)
        | ~ cC80(X93) )
      & ( ~ cC76(X93)
        | ~ cC80(X93) )
      & ( cC78(X93)
        | cC76(X93)
        | cC80(X93) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_53,plain,
    ~ cC76(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_86]) ).

cnf(c_0_54,negated_conjecture,
    ( cowlNothing(esk14_0)
    | xsd_integer(esk15_0)
    | ~ xsd_string(esk15_0)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC94(iV822576) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_30]),c_0_30])]) ).

cnf(c_0_55,negated_conjecture,
    ( xsd_string(esk15_0)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_56,plain,
    ~ cC108(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_57,plain,
    ( cC102(X1)
    | cC108(X1)
    | cC110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_58,plain,
    ~ cC102(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_59,plain,
    ~ cC92(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_60,plain,
    ( cC86(X1)
    | cC92(X1)
    | cC94(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_61,plain,
    ~ cC86(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_62,plain,
    ~ cC78(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_63,plain,
    ( cC78(X1)
    | cC76(X1)
    | cC80(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_64,plain,
    ~ cC76(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_65,negated_conjecture,
    ( xsd_integer(esk15_0)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_54,c_0_40]),c_0_55]),c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_66,plain,
    cC110(iV822576),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_67,plain,
    cC94(iV822576),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_68,plain,
    cC80(iV822576),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

fof(c_0_69,plain,
    ~ cC134(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_71]) ).

fof(c_0_70,plain,
    ! [X1] :
      ( cC114(X1)
    <=> ( ~ cC96(X1)
        & ~ cC112(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_9]) ).

cnf(c_0_71,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_72,negated_conjecture,
    ( xsd_integer(esk15_0)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]),c_0_67]),c_0_68])]) ).

cnf(c_0_73,negated_conjecture,
    ( xsd_string(esk15_0)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_66])]),c_0_67]),c_0_68])]) ).

cnf(c_0_74,plain,
    ~ cC134(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_75,plain,
    ( cC134(X1)
    | cC136(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_76,plain,
    ~ cC96(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_76]) ).

fof(c_0_77,plain,
    ! [X18] :
      ( ( ~ cC96(X18)
        | ~ cC114(X18) )
      & ( ~ cC112(X18)
        | ~ cC114(X18) )
      & ( cC96(X18)
        | cC112(X18)
        | cC114(X18) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).

fof(c_0_78,plain,
    ~ cC112(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_87]) ).

fof(c_0_79,plain,
    ! [X1] :
      ( cC56(X1)
    <=> ( cC4(X1)
        & ~ cC10(X1) ) ),
    inference(fof_simplification,[status(thm)],[axiom_43]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ cC58(iV822576)
    | ~ cC136(iV822576) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_81,plain,
    ( cC136(iV822576)
    | ~ cC116(iV822576) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,plain,
    ~ cC96(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_83,plain,
    ( cC96(X1)
    | cC112(X1)
    | cC114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_84,plain,
    ~ cC112(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

fof(c_0_85,plain,
    ! [X73] :
      ( ( cC4(X73)
        | ~ cC56(X73) )
      & ( ~ cC10(X73)
        | ~ cC56(X73) )
      & ( ~ cC4(X73)
        | cC10(X73)
        | cC56(X73) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ cC58(iV822576)
    | ~ cC116(iV822576) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,plain,
    ( cC116(X1)
    | ~ cC114(X1)
    | ~ cC80(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_88,plain,
    cC114(iV822576),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

cnf(c_0_89,plain,
    ( cC58(X1)
    | ~ cC34(X1)
    | ~ cC56(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_90,plain,
    ( cC10(X1)
    | cC56(X1)
    | ~ cC4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

fof(c_0_91,plain,
    ~ cC10(iV822576),
    inference(fof_simplification,[status(thm)],[axiom_84]) ).

cnf(c_0_92,negated_conjecture,
    ~ cC58(iV822576),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_68]),c_0_88])]) ).

cnf(c_0_93,plain,
    ( cC58(X1)
    | cC10(X1)
    | ~ cC4(X1)
    | ~ cC34(X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_94,plain,
    cC4(iV822576),
    inference(split_conjunct,[status(thm)],[axiom_75]) ).

cnf(c_0_95,plain,
    cC34(iV822576),
    inference(split_conjunct,[status(thm)],[axiom_74]) ).

cnf(c_0_96,plain,
    ~ cC10(iV822576),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95])]),c_0_96]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : KRS146+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n010.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    : 300
% 0.12/0.34  % DateTime   : Mon Aug 28 01:44:04 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.20/0.62  % Version  : CSE_E---1.5
% 0.20/0.62  % Problem  : theBenchmark.p
% 0.20/0.62  % Proof found
% 0.20/0.62  % SZS status Theorem for theBenchmark.p
% 0.20/0.62  % SZS output start Proof
% See solution above
% 0.20/0.63  % Total time : 0.035000 s
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time : 0.039000 s
%------------------------------------------------------------------------------