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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:54:16 PM UTC 2026

% Result   : Theorem 1.51s 1.32s
% Output   : CNFRefutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  128 (  47 unt;   0 def)
%            Number of atoms       :  397 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  467 ( 198   ~; 191   |;  59   &)
%                                         (  12 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   71 (   0 sgn  67   !;   4   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f8,axiom,
    ! [X0] :
      ( cC110(X0)
    <=> ( ~ cC108(X0)
        & ~ cC102(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f10,axiom,
    ! [X0] :
      ( cC114(X0)
    <=> ( ~ cC112(X0)
        & ~ cC96(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f11,axiom,
    ! [X0] :
      ( cC116(X0)
    <=> ( cC80(X0)
        & cC114(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f22,axiom,
    ! [X0] :
      ( cC136(X0)
    <=> ( ~ cC134(X0)
        & cC116(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f44,axiom,
    ! [X0] :
      ( cC56(X0)
    <=> ( ~ cC10(X0)
        & cC4(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f45,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ( cC56(X0)
        & cC34(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f58,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( ~ cC76(X0)
        & ~ cC78(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(f65,axiom,
    ! [X0] :
      ( cC94(X0)
    <=> ( ~ cC92(X0)
        & ~ cC86(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f71,axiom,
    ~ cC102(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).

fof(f72,axiom,
    ~ cC134(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

fof(f75,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).

fof(f76,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).

fof(f77,axiom,
    ~ cC96(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(f78,axiom,
    ~ cC86(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).

fof(f79,axiom,
    ~ cC92(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).

fof(f80,axiom,
    ~ cC108(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).

fof(f81,axiom,
    cowlThing(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).

fof(f85,axiom,
    ~ cC10(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).

fof(f87,axiom,
    ~ cC76(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).

fof(f88,axiom,
    ~ cC112(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).

fof(f89,axiom,
    ~ cC78(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).

fof(f92,conjecture,
    ( cC80(iV822576)
    & cC136(iV822576)
    & cC114(iV822576)
    & cC110(iV822576)
    & cC56(iV822576)
    & cC116(iV822576)
    & cC58(iV822576)
    & cowlThing(iV822576)
    & cC94(iV822576)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f93,negated_conjecture,
    ~ ( cC80(iV822576)
      & cC136(iV822576)
      & cC114(iV822576)
      & cC110(iV822576)
      & cC56(iV822576)
      & cC116(iV822576)
      & cC58(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f92]) ).

fof(f94,plain,
    ~ ( cC80(iV822576)
      & cC136(iV822576)
      & cC114(iV822576)
      & cC110(iV822576)
      & cC56(iV822576)
      & cC116(iV822576)
      & cC58(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ~ cC134(X0)
        & cC116(X0) )
     => cC136(X0) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f96,plain,
    ! [X0] :
      ( ( cC80(X0)
        & cC114(X0) )
     => cC116(X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f97,plain,
    ! [X0] :
      ( ( ~ cC112(X0)
        & ~ cC96(X0) )
     => cC114(X0) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f98,plain,
    ! [X0] :
      ( ( ~ cC76(X0)
        & ~ cC78(X0) )
     => cC80(X0) ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f100,plain,
    ! [X0] :
      ( ( cC56(X0)
        & cC34(X0) )
     => cC58(X0) ),
    inference(unused_predicate_definition_removal,[],[f45]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ~ cC10(X0)
        & cC4(X0) )
     => cC56(X0) ),
    inference(unused_predicate_definition_removal,[],[f44]) ).

fof(f102,plain,
    ! [X0] :
      ( cC112(X0)
      | cC96(X0)
      | cC114(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f103,plain,
    ! [X0] :
      ( cC112(X0)
      | cC96(X0)
      | cC114(X0) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | ~ cC114(X0)
      | cC116(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | ~ cC114(X0)
      | cC116(X0) ),
    inference(flattening,[],[f104]) ).

fof(f106,plain,
    ! [X0] :
      ( cC134(X0)
      | ~ cC116(X0)
      | cC136(X0) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f107,plain,
    ! [X0] :
      ( cC134(X0)
      | ~ cC116(X0)
      | cC136(X0) ),
    inference(flattening,[],[f106]) ).

fof(f110,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | cC56(X0) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f111,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | cC56(X0) ),
    inference(flattening,[],[f110]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | ~ cC34(X0)
      | cC58(X0) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | ~ cC34(X0)
      | cC58(X0) ),
    inference(flattening,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( cC76(X0)
      | cC78(X0)
      | cC80(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f115,plain,
    ! [X0] :
      ( cC76(X0)
      | cC78(X0)
      | cC80(X0) ),
    inference(flattening,[],[f114]) ).

fof(f119,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f120,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f133,plain,
    ! [X0] :
      ( ( ~ cC110(X0)
        | ( ~ cC108(X0)
          & ~ cC102(X0) ) )
      & ( cC108(X0)
        | cC102(X0)
        | cC110(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f134,plain,
    ! [X0] :
      ( ( ~ cC110(X0)
        | ( ~ cC108(X0)
          & ~ cC102(X0) ) )
      & ( cC108(X0)
        | cC102(X0)
        | cC110(X0) ) ),
    inference(flattening,[],[f133]) ).

fof(f175,plain,
    ! [X0] :
      ( ( ~ cC94(X0)
        | ( ~ cC92(X0)
          & ~ cC86(X0) ) )
      & ( cC92(X0)
        | cC86(X0)
        | cC94(X0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f176,plain,
    ! [X0] :
      ( ( ~ cC94(X0)
        | ( ~ cC92(X0)
          & ~ cC86(X0) ) )
      & ( cC92(X0)
        | cC86(X0)
        | cC94(X0) ) ),
    inference(flattening,[],[f175]) ).

fof(f181,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f182,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ( ( xsd_string(sK7)
        | ~ xsd_integer(sK7) )
      & ( ~ xsd_string(sK7)
        | xsd_integer(sK7) ) )
    | cowlNothing(sK6)
    | ~ cowlThing(sK6) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f181]) ).

fof(f183,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f184,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f186,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f204,plain,
    ! [X0] :
      ( cC108(X0)
      | cC102(X0)
      | cC110(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f208,plain,
    ! [X0] :
      ( cC112(X0)
      | cC96(X0)
      | cC114(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | ~ cC114(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f237,plain,
    ! [X0] :
      ( cC134(X0)
      | ~ cC116(X0)
      | cC136(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f239,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | ~ cC34(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f247,plain,
    ! [X0] :
      ( cC76(X0)
      | cC78(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f268,plain,
    ! [X0] :
      ( cC92(X0)
      | cC86(X0)
      | cC94(X0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f277,plain,
    ~ cC102(iV822576),
    inference(cnf_transformation,[],[f71]) ).

fof(f278,plain,
    ~ cC134(iV822576),
    inference(cnf_transformation,[],[f72]) ).

fof(f281,plain,
    cC34(iV822576),
    inference(cnf_transformation,[],[f75]) ).

fof(f282,plain,
    cC4(iV822576),
    inference(cnf_transformation,[],[f76]) ).

fof(f283,plain,
    ~ cC96(iV822576),
    inference(cnf_transformation,[],[f77]) ).

fof(f284,plain,
    ~ cC86(iV822576),
    inference(cnf_transformation,[],[f78]) ).

fof(f285,plain,
    ~ cC92(iV822576),
    inference(cnf_transformation,[],[f79]) ).

fof(f286,plain,
    ~ cC108(iV822576),
    inference(cnf_transformation,[],[f80]) ).

fof(f287,plain,
    cowlThing(iV822576),
    inference(cnf_transformation,[],[f81]) ).

fof(f291,plain,
    ~ cC10(iV822576),
    inference(cnf_transformation,[],[f85]) ).

fof(f293,plain,
    ~ cC76(iV822576),
    inference(cnf_transformation,[],[f87]) ).

fof(f294,plain,
    ~ cC112(iV822576),
    inference(cnf_transformation,[],[f88]) ).

fof(f295,plain,
    ~ cC78(iV822576),
    inference(cnf_transformation,[],[f89]) ).

fof(f298,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | xsd_string(sK7)
    | ~ xsd_integer(sK7)
    | cowlNothing(sK6)
    | ~ cowlThing(sK6) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f299,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_string(sK7)
    | xsd_integer(sK7)
    | cowlNothing(sK6)
    | ~ cowlThing(sK6) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_68,plain,
    ! [X0: $i] :
      ( cC110(X0)
      | cC108(X0)
      | cC102(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_74,plain,
    ! [X0: $i] :
      ( cC96(X0)
      | cC114(X0)
      | cC112(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_75,plain,
    ! [X0: $i] :
      ( cC116(X0)
      | ~ cC80(X0)
      | ~ cC114(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_103,plain,
    ! [X0: $i] :
      ( cC136(X0)
      | cC134(X0)
      | ~ cC116(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_105,plain,
    ! [X0: $i] :
      ( cC56(X0)
      | cC10(X0)
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_106,plain,
    ! [X0: $i] :
      ( cC58(X0)
      | ~ cC56(X0)
      | ~ cC34(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( cC78(X0)
      | cC76(X0)
      | cC80(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_132,plain,
    ! [X0: $i] :
      ( cC94(X0)
      | cC92(X0)
      | cC86(X0) ),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_143,plain,
    ~ cC102(iV822576),
    inference(cnf_transformation,[],[f277]) ).

tcf(c_144,plain,
    ~ cC134(iV822576),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_147,plain,
    cC34(iV822576),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_148,plain,
    cC4(iV822576),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_149,plain,
    ~ cC96(iV822576),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_150,plain,
    ~ cC86(iV822576),
    inference(cnf_transformation,[],[f284]) ).

tcf(c_151,plain,
    ~ cC92(iV822576),
    inference(cnf_transformation,[],[f285]) ).

tcf(c_152,plain,
    ~ cC108(iV822576),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_153,plain,
    cowlThing(iV822576),
    inference(cnf_transformation,[],[f287]) ).

tcf(c_157,plain,
    ~ cC10(iV822576),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_159,plain,
    ~ cC76(iV822576),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_160,plain,
    ~ cC112(iV822576),
    inference(cnf_transformation,[],[f294]) ).

tcf(c_161,plain,
    ~ cC78(iV822576),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_164,negated_conjecture,
    ( xsd_integer(sK7)
    | cowlNothing(sK6)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ xsd_string(sK7)
    | ~ cowlThing(sK6)
    | ~ cowlThing(iV822576) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_165,negated_conjecture,
    ( xsd_string(sK7)
    | cowlNothing(sK6)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ xsd_integer(sK7)
    | ~ cowlThing(sK6)
    | ~ cowlThing(iV822576) ),
    inference(cnf_transformation,[],[f298]) ).

tcf(c_173,plain,
    ( cC94(iV822576)
    | cC92(iV822576)
    | cC86(iV822576) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_175,plain,
    ( cC78(iV822576)
    | cC76(iV822576)
    | cC80(iV822576) ),
    inference(instantiation,[status(thm)],[c_113]) ).

tcf(c_179,plain,
    ( cC96(iV822576)
    | cC114(iV822576)
    | cC112(iV822576) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_180,plain,
    ( cC110(iV822576)
    | cC108(iV822576)
    | cC102(iV822576) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_187,plain,
    ( cC56(iV822576)
    | cC10(iV822576)
    | ~ cC4(iV822576) ),
    inference(instantiation,[status(thm)],[c_105]) ).

tcf(c_188,plain,
    ( cC136(iV822576)
    | cC134(iV822576)
    | ~ cC116(iV822576) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_196,plain,
    ( cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC34(iV822576) ),
    inference(instantiation,[status(thm)],[c_106]) ).

tcf(c_199,plain,
    ( cC116(iV822576)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_204,negated_conjecture,
    ( xsd_string(sK7)
    | cowlNothing(sK6)
    | ~ xsd_integer(sK7)
    | ~ cowlThing(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_153,c_148,c_147,c_161,c_160,c_159,c_157,c_152,c_151,c_150,c_149,c_144,c_143,c_173,c_175,c_179,c_180,c_187,c_188,c_196,c_199,c_165]) ).

tcf(c_206,negated_conjecture,
    ( xsd_integer(sK7)
    | cowlNothing(sK6)
    | ~ xsd_string(sK7)
    | ~ cowlThing(sK6) ),
    inference(global_subsumption_just,[status(thm)],[c_164,c_153,c_148,c_147,c_161,c_160,c_159,c_157,c_152,c_151,c_150,c_149,c_144,c_143,c_173,c_175,c_179,c_180,c_187,c_188,c_196,c_199,c_164]) ).

tcf(c_208,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_209,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_208]) ).

tcf(c_210,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_211,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_210]) ).

tcf(c_571,plain,
    ( xsd_integer(sK7)
    | cowlNothing(sK6)
    | ~ xsd_string(sK7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_206,c_49]) ).

tcf(c_572,plain,
    ( xsd_string(sK7)
    | cowlNothing(sK6)
    | ~ xsd_integer(sK7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_204,c_49]) ).

tcf(c_583,plain,
    ( xsd_string(sK7)
    | ~ xsd_integer(sK7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_572,c_50]) ).

tcf(c_584,plain,
    ( xsd_integer(sK7)
    | ~ xsd_string(sK7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_571,c_50]) ).

tcf(c_618,plain,
    xsd_integer(sK7),
    inference(backward_subsumption_resolution,[status(thm)],[c_584,c_211]) ).

tcf(c_620,plain,
    xsd_string(sK7),
    inference(backward_subsumption_resolution,[status(thm)],[c_583,c_211]) ).

tcf(c_1063,plain,
    ~ xsd_integer(sK7),
    inference(resolution,[status(thm)],[c_209,c_620]) ).

tcf(c_1064,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1063,c_618]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  % Computer : n019.cluster.edu
% 0.10/0.41  % Model    : x86_64 x86_64
% 0.10/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41  % Memory   : 8046.5625MB
% 0.10/0.41  % OS       : Linux 6.8.0-71-generic
% 0.10/0.41  % CPULimit : 300
% 0.10/0.41  % WCLimit  : 300
% 0.10/0.41  % DateTime : Wed Sep 23 19:31:34 UTC 2026
% 0.10/0.42  % CPUTime  : 
% 0.10/0.42  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.45  Running first-order theorem proving
% 0.10/0.45  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46  
% 0.16/0.46  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.46  
% 0.16/0.46  % Detected problem language: tptp
% 0.16/0.47  % Proving...
% 1.51/1.32  % SZS status Started for theBenchmark.p
% 1.51/1.32  % SZS status Theorem for theBenchmark.p
% 1.51/1.32  
% 1.51/1.32  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.51/1.32  
% 1.51/1.32  % ------  iProver source info
% 1.51/1.32  
% 1.51/1.32  % git: date: 2026-07-19 20:42:38 +0200
% 1.51/1.32  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.51/1.32  % git: non_committed_changes: false
% 1.51/1.32  
% 1.51/1.32  % ------ Parsing...
% 1.51/1.32  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.51/1.32  
% 1.51/1.32  % ------ Preprocessing... sf_s  rm: 8 0s  sf_e  pe_s  pe:1:0s% 
% 1.51/1.32  
% 1.51/1.32  % SZS status Theorem for theBenchmark.p
% 1.51/1.32  
% 1.51/1.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.32  
% 1.51/1.32  
%------------------------------------------------------------------------------