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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n008.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 01:53:19 PM UTC 2026

% Result   : Theorem 3.92s 0.95s
% Output   : Proof 3.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  135 (  39 unt;   0 def)
%            Number of atoms       :  617 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  777 ( 295   ~; 400   |;  71   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   48 (   2 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X] :
      ( cC116(X)
    <=> ( cC80(X)
        & cC114(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ( ~ cC80(X)
        | ~ cC114(X)
        | cC116(X) )
      & ( ( cC80(X)
          & cC114(X) )
        | ~ cC116(X) ) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ( ~ cC80(X)
        | ~ cC114(X)
        | cC116(X) )
      & ( ( cC80(X)
          & cC114(X) )
        | ~ cC116(X) ) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c30,plain,
    ( ~ cC80(X0)
    | ~ cC114(X0)
    | cC116(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

fof(f9,axiom,
    ! [X] :
      ( cC114(X)
    <=> ( ~ cC112(X)
        & ~ cC96(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f9_nnf,plain,
    ! [X] :
      ( ( cC112(X)
        | cC96(X)
        | cC114(X) )
      & ( ( ~ cC112(X)
          & ~ cC96(X) )
        | ~ cC114(X) ) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] :
      ( ( cC112(X)
        | cC96(X)
        | cC114(X) )
      & ( ( ~ cC112(X)
          & ~ cC96(X) )
        | ~ cC114(X) ) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c27,plain,
    ( cC112(X0)
    | cC96(X0)
    | cC114(X0) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

fof(f76,axiom,
    ~ cC96(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).

fof(f76_nnf,plain,
    ~ cC96(iV822576),
    inference(nnf_transformation,[status(thm)],[f76]) ).

fof(f76_sk,plain,
    ~ cC96(iV822576),
    inference(skolemisation,[status(esa)],[f76_nnf]) ).

cnf(c210,plain,
    ~ cC96(iV822576),
    inference(cnf_transformation,[status(esa)],[f76_sk]) ).

cnf(p237,plain,
    ( cC112(iV822576)
    | cC114(iV822576) ),
    inference(resolution,[status(thm)],[c27,c210]) ).

cnf(p240,plain,
    ( cC112(iV822576)
    | ~ cC80(iV822576)
    | cC116(iV822576) ),
    inference(resolution,[status(thm)],[c30,p237]) ).

fof(f57,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( ~ cC76(X)
        & ~ cC78(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(f57_nnf,plain,
    ! [X] :
      ( ( cC76(X)
        | cC78(X)
        | cC80(X) )
      & ( ( ~ cC76(X)
          & ~ cC78(X) )
        | ~ cC80(X) ) ),
    inference(nnf_transformation,[status(thm)],[f57]) ).

fof(f57_sk,plain,
    ! [X] :
      ( ( cC76(X)
        | cC78(X)
        | cC80(X) )
      & ( ( ~ cC76(X)
          & ~ cC78(X) )
        | ~ cC80(X) ) ),
    inference(skolemisation,[status(esa)],[f57_nnf]) ).

cnf(c171,plain,
    ( cC76(X0)
    | cC78(X0)
    | cC80(X0) ),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

fof(f88,axiom,
    ~ cC78(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).

fof(f88_nnf,plain,
    ~ cC78(iV822576),
    inference(nnf_transformation,[status(thm)],[f88]) ).

fof(f88_sk,plain,
    ~ cC78(iV822576),
    inference(skolemisation,[status(esa)],[f88_nnf]) ).

cnf(c222,plain,
    ~ cC78(iV822576),
    inference(cnf_transformation,[status(esa)],[f88_sk]) ).

cnf(p260,plain,
    ( cC76(iV822576)
    | cC80(iV822576) ),
    inference(resolution,[status(thm)],[c171,c222]) ).

fof(f86,axiom,
    ~ cC76(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).

fof(f86_nnf,plain,
    ~ cC76(iV822576),
    inference(nnf_transformation,[status(thm)],[f86]) ).

fof(f86_sk,plain,
    ~ cC76(iV822576),
    inference(skolemisation,[status(esa)],[f86_nnf]) ).

cnf(c220,plain,
    ~ cC76(iV822576),
    inference(cnf_transformation,[status(esa)],[f86_sk]) ).

cnf(p263,plain,
    cC80(iV822576),
    inference(resolution,[status(thm)],[p260,c220]) ).

cnf(p280,plain,
    ( cC112(iV822576)
    | cC116(iV822576) ),
    inference(resolution,[status(thm)],[p240,p263]) ).

fof(f21,axiom,
    ! [X] :
      ( cC136(X)
    <=> ( ~ cC134(X)
        & cC116(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f21_nnf,plain,
    ! [X] :
      ( ( cC134(X)
        | ~ cC116(X)
        | cC136(X) )
      & ( ( ~ cC134(X)
          & cC116(X) )
        | ~ cC136(X) ) ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ! [X] :
      ( ( cC134(X)
        | ~ cC116(X)
        | cC136(X) )
      & ( ( ~ cC134(X)
          & cC116(X) )
        | ~ cC136(X) ) ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c63,plain,
    ( cC134(X0)
    | ~ cC116(X0)
    | cC136(X0) ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p281,plain,
    ( cC134(iV822576)
    | cC136(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p280,c63]) ).

fof(f65,axiom,
    ! [X] :
      ( cC96(X)
    <=> ( cC2(X)
        & ~ cC94(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).

fof(f65_nnf,plain,
    ! [X] :
      ( ( ~ cC2(X)
        | cC94(X)
        | cC96(X) )
      & ( ( cC2(X)
          & ~ cC94(X) )
        | ~ cC96(X) ) ),
    inference(nnf_transformation,[status(thm)],[f65]) ).

fof(f65_sk,plain,
    ! [X] :
      ( ( ~ cC2(X)
        | cC94(X)
        | cC96(X) )
      & ( ( cC2(X)
          & ~ cC94(X) )
        | ~ cC96(X) ) ),
    inference(skolemisation,[status(esa)],[f65_nnf]) ).

cnf(c195,plain,
    ( ~ cC2(X0)
    | cC94(X0)
    | cC96(X0) ),
    inference(cnf_transformation,[status(esa)],[f65_sk]) ).

fof(f89,axiom,
    cC2(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).

fof(f89_nnf,plain,
    cC2(iV822576),
    inference(nnf_transformation,[status(thm)],[f89]) ).

cnf(c223,plain,
    cC2(iV822576),
    inference(cnf_transformation,[status(esa)],[f89_nnf]) ).

cnf(p269,plain,
    ( cC94(iV822576)
    | cC96(iV822576) ),
    inference(resolution,[status(thm)],[c195,c223]) ).

fof(f1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f1_nnf,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c3,plain,
    ( xsd_integer(X0)
    | xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

fof(f0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f0_nnf,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

fof(f91,conjecture,
    ( cC80(iV822576)
    & cC136(iV822576)
    & cC114(iV822576)
    & cC110(iV822576)
    & cC56(iV822576)
    & cC116(iV822576)
    & cC58(iV822576)
    & cowlThing(iV822576)
    & cC94(iV822576)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f91_neg,negated_conjecture,
    ~ ( cC80(iV822576)
      & cC136(iV822576)
      & cC114(iV822576)
      & cC110(iV822576)
      & cC56(iV822576)
      & cC116(iV822576)
      & cC58(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f91]) ).

fof(f91_nnf,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ? [X] :
        ( ( ~ xsd_integer(X)
          & ~ xsd_string(X) )
        | ( xsd_integer(X)
          & xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(nnf_transformation,[status(thm)],[f91_neg]) ).

fof(f91_sk,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ( ~ xsd_integer(sk14)
      & ~ xsd_string(sk14) )
    | ( xsd_integer(sk14)
      & xsd_string(sk14) )
    | cowlNothing(sk13)
    | ~ cowlThing(sk13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk13,sk14])],[f91_nnf]) ).

cnf(c226,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_integer(sk14)
    | xsd_string(sk14)
    | cowlNothing(sk13)
    | ~ cowlThing(sk13) ),
    inference(cnf_transformation,[status(esa)],[f91_sk]) ).

cnf(p229,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_integer(sk14)
    | xsd_string(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[c0,c226]) ).

cnf(p231,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | xsd_string(sk14)
    | cowlNothing(sk13)
    | xsd_string(sk14) ),
    inference(resolution,[status(thm)],[c3,p229]) ).

cnf(p232,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14) ),
    inference(factoring,[status(thm)],[p231]) ).

cnf(p270,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576) ),
    inference(resolution,[status(thm)],[p269,p232]) ).

cnf(p271,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576) ),
    inference(resolution,[status(thm)],[p270,c0]) ).

fof(f44,axiom,
    ! [X] :
      ( cC58(X)
    <=> ( cC56(X)
        & cC34(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f44_nnf,plain,
    ! [X] :
      ( ( ~ cC56(X)
        | ~ cC34(X)
        | cC58(X) )
      & ( ( cC56(X)
          & cC34(X) )
        | ~ cC58(X) ) ),
    inference(nnf_transformation,[status(thm)],[f44]) ).

fof(f44_sk,plain,
    ! [X] :
      ( ( ~ cC56(X)
        | ~ cC34(X)
        | cC58(X) )
      & ( ( cC56(X)
          & cC34(X) )
        | ~ cC58(X) ) ),
    inference(skolemisation,[status(esa)],[f44_nnf]) ).

cnf(c132,plain,
    ( ~ cC56(X0)
    | ~ cC34(X0)
    | cC58(X0) ),
    inference(cnf_transformation,[status(esa)],[f44_sk]) ).

fof(f74,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).

fof(f74_nnf,plain,
    cC34(iV822576),
    inference(nnf_transformation,[status(thm)],[f74]) ).

cnf(c208,plain,
    cC34(iV822576),
    inference(cnf_transformation,[status(esa)],[f74_nnf]) ).

cnf(p257,plain,
    ( ~ cC56(iV822576)
    | cC58(iV822576) ),
    inference(resolution,[status(thm)],[c132,c208]) ).

fof(f43,axiom,
    ! [X] :
      ( cC56(X)
    <=> ( ~ cC10(X)
        & cC4(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f43_nnf,plain,
    ! [X] :
      ( ( cC10(X)
        | ~ cC4(X)
        | cC56(X) )
      & ( ( ~ cC10(X)
          & cC4(X) )
        | ~ cC56(X) ) ),
    inference(nnf_transformation,[status(thm)],[f43]) ).

fof(f43_sk,plain,
    ! [X] :
      ( ( cC10(X)
        | ~ cC4(X)
        | cC56(X) )
      & ( ( ~ cC10(X)
          & cC4(X) )
        | ~ cC56(X) ) ),
    inference(skolemisation,[status(esa)],[f43_nnf]) ).

cnf(c129,plain,
    ( cC10(X0)
    | ~ cC4(X0)
    | cC56(X0) ),
    inference(cnf_transformation,[status(esa)],[f43_sk]) ).

fof(f75,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).

fof(f75_nnf,plain,
    cC4(iV822576),
    inference(nnf_transformation,[status(thm)],[f75]) ).

cnf(c209,plain,
    cC4(iV822576),
    inference(cnf_transformation,[status(esa)],[f75_nnf]) ).

cnf(p256,plain,
    ( cC10(iV822576)
    | cC56(iV822576) ),
    inference(resolution,[status(thm)],[c129,c209]) ).

cnf(p258,plain,
    ( cC10(iV822576)
    | cC58(iV822576) ),
    inference(resolution,[status(thm)],[p257,p256]) ).

cnf(p272,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576) ),
    inference(resolution,[status(thm)],[p271,p258]) ).

cnf(p283,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p280,p272]) ).

cnf(p284,plain,
    ( cC10(iV822576)
    | cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p283,p256]) ).

cnf(p285,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(factoring,[status(thm)],[p284]) ).

fof(f8,axiom,
    ! [X] :
      ( cC112(X)
    <=> ( cC4(X)
        & ~ cC110(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f8_nnf,plain,
    ! [X] :
      ( ( ~ cC4(X)
        | cC110(X)
        | cC112(X) )
      & ( ( cC4(X)
          & ~ cC110(X) )
        | ~ cC112(X) ) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( ( ~ cC4(X)
        | cC110(X)
        | cC112(X) )
      & ( ( cC4(X)
          & ~ cC110(X) )
        | ~ cC112(X) ) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c24,plain,
    ( ~ cC4(X0)
    | cC110(X0)
    | cC112(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p235,plain,
    ( cC110(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[c24,c209]) ).

fof(f87,axiom,
    ~ cC112(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).

fof(f87_nnf,plain,
    ~ cC112(iV822576),
    inference(nnf_transformation,[status(thm)],[f87]) ).

fof(f87_sk,plain,
    ~ cC112(iV822576),
    inference(skolemisation,[status(esa)],[f87_nnf]) ).

cnf(c221,plain,
    ~ cC112(iV822576),
    inference(cnf_transformation,[status(esa)],[f87_sk]) ).

cnf(p236,plain,
    cC110(iV822576),
    inference(resolution,[status(thm)],[p235,c221]) ).

cnf(p287,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p285,p236]) ).

cnf(p288,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p287,p237]) ).

cnf(p289,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(factoring,[status(thm)],[p288]) ).

cnf(p303,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576)
    | cC134(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p281,p289]) ).

cnf(p305,plain,
    ( cC10(iV822576)
    | ~ cC80(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC134(iV822576)
    | cC112(iV822576) ),
    inference(factoring,[status(thm)],[p303]) ).

cnf(p306,plain,
    ( cC10(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC134(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p305,p263]) ).

fof(f71,axiom,
    ~ cC134(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

fof(f71_nnf,plain,
    ~ cC134(iV822576),
    inference(nnf_transformation,[status(thm)],[f71]) ).

fof(f71_sk,plain,
    ~ cC134(iV822576),
    inference(skolemisation,[status(esa)],[f71_nnf]) ).

cnf(c205,plain,
    ~ cC134(iV822576),
    inference(cnf_transformation,[status(esa)],[f71_sk]) ).

cnf(p307,plain,
    ( cC10(iV822576)
    | cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p306,c205]) ).

fof(f84,axiom,
    ~ cC10(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).

fof(f84_nnf,plain,
    ~ cC10(iV822576),
    inference(nnf_transformation,[status(thm)],[f84]) ).

fof(f84_sk,plain,
    ~ cC10(iV822576),
    inference(skolemisation,[status(esa)],[f84_nnf]) ).

cnf(c218,plain,
    ~ cC10(iV822576),
    inference(cnf_transformation,[status(esa)],[f84_sk]) ).

cnf(p308,plain,
    ( cowlNothing(sk13)
    | xsd_string(sk14)
    | cC96(iV822576)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p307,c218]) ).

cnf(p309,plain,
    ( cowlNothing(sk13)
    | xsd_string(sk14)
    | cC112(iV822576) ),
    inference(resolution,[status(thm)],[p308,c210]) ).

cnf(p310,plain,
    ( cowlNothing(sk13)
    | xsd_string(sk14) ),
    inference(resolution,[status(thm)],[p309,c221]) ).

cnf(c227,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_string(sk14)
    | xsd_integer(sk14)
    | cowlNothing(sk13)
    | ~ cowlThing(sk13) ),
    inference(cnf_transformation,[status(esa)],[f91_sk]) ).

cnf(p230,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_string(sk14)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[c0,c227]) ).

cnf(p311,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p310,p230]) ).

cnf(p313,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(factoring,[status(thm)],[p311]) ).

cnf(p315,plain,
    ( cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p313,p269]) ).

cnf(p316,plain,
    ( cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p315,c0]) ).

cnf(p317,plain,
    ( cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p316,p258]) ).

cnf(p318,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p317,p280]) ).

cnf(p319,plain,
    ( cC10(iV822576)
    | cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p318,p256]) ).

cnf(p320,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(factoring,[status(thm)],[p319]) ).

cnf(p322,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p320,p236]) ).

cnf(p323,plain,
    ( cC112(iV822576)
    | cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p322,p237]) ).

cnf(p324,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(factoring,[status(thm)],[p323]) ).

cnf(p325,plain,
    ( cC134(iV822576)
    | cC112(iV822576)
    | cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p324,p281]) ).

cnf(p326,plain,
    ( cC134(iV822576)
    | cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | ~ cC80(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(factoring,[status(thm)],[p325]) ).

cnf(p327,plain,
    ( cC134(iV822576)
    | cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p326,p263]) ).

cnf(p328,plain,
    ( cC112(iV822576)
    | cC10(iV822576)
    | cC96(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p327,c205]) ).

cnf(p329,plain,
    ( cC112(iV822576)
    | cC96(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p328,c218]) ).

cnf(p330,plain,
    ( cC112(iV822576)
    | xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p329,c210]) ).

cnf(p331,plain,
    ( xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p330,c221]) ).

cnf(c2,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p312,plain,
    ( ~ xsd_integer(sk14)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p310,c2]) ).

cnf(p332,plain,
    ( cowlNothing(sk13)
    | cowlNothing(sk13) ),
    inference(resolution,[status(thm)],[p331,p312]) ).

cnf(p333,plain,
    cowlNothing(sk13),
    inference(factoring,[status(thm)],[p332]) ).

cnf(c1,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p334,plain,
    $false,
    inference(resolution,[status(thm)],[p333,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37  % Computer : n008.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Wed Sep 23 19:32:09 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.92/0.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/0.95  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------