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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS146+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n028.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 : Tue May  5 04:36:43 PM UTC 2026

% Result   : Theorem 1.32s 1.72s
% Output   : CNFRefutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   98 (  42 unt;   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 predicates  :   25 (  24 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   48 (   2 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/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_21,axiom,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC116(X1)
        & ~ cC134(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(axiom_74,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox/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,
    ! [X89] :
      ( cowlThing(X89)
      & ~ cowlNothing(X89) ),
    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,
    ! [X90] :
      ( ( ~ xsd_string(X90)
        | ~ xsd_integer(X90) )
      & ( xsd_integer(X90)
        | xsd_string(X90) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).

fof(c_0_32,plain,
    ! [X105] :
      ( ( cC114(X105)
        | ~ cC116(X105) )
      & ( cC80(X105)
        | ~ cC116(X105) )
      & ( ~ cC114(X105)
        | ~ cC80(X105)
        | cC116(X105) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).

fof(c_0_33,plain,
    ! [X122] :
      ( ( cC116(X122)
        | ~ cC136(X122) )
      & ( ~ cC134(X122)
        | ~ cC136(X122) )
      & ( ~ cC116(X122)
        | cC134(X122)
        | cC136(X122) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

fof(c_0_34,plain,
    ! [X160] :
      ( ( cC34(X160)
        | ~ cC58(X160) )
      & ( cC56(X160)
        | ~ cC58(X160) )
      & ( ~ cC34(X160)
        | ~ cC56(X160)
        | cC58(X160) ) ),
    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,
    ! [X102] :
      ( ( ~ cC102(X102)
        | ~ cC110(X102) )
      & ( ~ cC108(X102)
        | ~ cC110(X102) )
      & ( cC102(X102)
        | cC108(X102)
        | cC110(X102) ) ),
    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,
    ! [X192] :
      ( ( ~ cC86(X192)
        | ~ cC94(X192) )
      & ( ~ cC92(X192)
        | ~ cC94(X192) )
      & ( cC86(X192)
        | cC92(X192)
        | cC94(X192) ) ),
    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,
    ! [X179] :
      ( ( ~ cC78(X179)
        | ~ cC80(X179) )
      & ( ~ cC76(X179)
        | ~ cC80(X179) )
      & ( cC78(X179)
        | cC76(X179)
        | cC80(X179) ) ),
    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,
    ! [X104] :
      ( ( ~ cC96(X104)
        | ~ cC114(X104) )
      & ( ~ cC112(X104)
        | ~ cC114(X104) )
      & ( cC96(X104)
        | cC112(X104)
        | cC114(X104) ) ),
    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,
    ! [X159] :
      ( ( cC4(X159)
        | ~ cC56(X159) )
      & ( ~ cC10(X159)
        | ~ cC56(X159) )
      & ( ~ cC4(X159)
        | cC10(X159)
        | cC56(X159) ) ),
    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
% 0.00/0.11  % Problem    : KRS146+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32  % Computer : n028.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May  4 20:39:00 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 1.32/1.72  % Version  : CSE_E---1.7
% 1.32/1.72  % Problem  : theBenchmark.p
% 1.32/1.72  % SZS status Theorem for theBenchmark.p
% 1.32/1.72  % SZS output start CNFRefutation
% See solution above
% 1.32/1.72  % Total time : 1.373s
%------------------------------------------------------------------------------