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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n014.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 01:53:21 PM UTC 2026

% Result   : Theorem 4.89s 1.16s
% Output   : Proof 4.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  128 (  48 unt;   0 def)
%            Number of atoms       :  492 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  627 ( 263   ~; 282   |;  71   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,conjecture,
    ( cC56(iV822576)
    & cC136(iV822576)
    & cC110(iV822576)
    & cC80(iV822576)
    & cC94(iV822576)
    & cowlThing(iV822576)
    & cC114(iV822576)
    & cC116(iV822576)
    & cC58(iV822576)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f169_neg,negated_conjecture,
    ~ ( cC56(iV822576)
      & cC136(iV822576)
      & cC110(iV822576)
      & cC80(iV822576)
      & cC94(iV822576)
      & cowlThing(iV822576)
      & cC114(iV822576)
      & cC116(iV822576)
      & cC58(iV822576)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f169]) ).

fof(f169_nnf,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ? [X] :
        ( ( ~ xsd_integer(X)
          & ~ xsd_string(X) )
        | ( xsd_integer(X)
          & xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(nnf_transformation,[status(thm)],[f169_neg]) ).

fof(f169_sk,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ( ~ xsd_integer(sk92)
      & ~ xsd_string(sk92) )
    | ( xsd_integer(sk92)
      & xsd_string(sk92) )
    | cowlNothing(sk91)
    | ~ cowlThing(sk91) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk91,sk92])],[f169_nnf]) ).

cnf(c382,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sk92)
    | xsd_string(sk92)
    | cowlNothing(sk91)
    | ~ cowlThing(sk91) ),
    inference(cnf_transformation,[status(esa)],[f169_sk]) ).

fof(f0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox2/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]) ).

cnf(p472,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sk92)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[c382,c0]) ).

fof(f1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/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]) ).

cnf(p523,plain,
    ( xsd_string(sk92)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p472,c3]) ).

cnf(p550,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(factoring,[status(thm)],[p523]) ).

fof(f149,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_149) ).

fof(f149_nnf,plain,
    cC4(iV822576),
    inference(nnf_transformation,[status(thm)],[f149]) ).

cnf(c361,plain,
    cC4(iV822576),
    inference(cnf_transformation,[status(esa)],[f149_nnf]) ).

fof(f93,axiom,
    ! [X] :
      ( cC56(X)
    <=> ( cC10xcomp(X)
        & cC4(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).

fof(f93_nnf,plain,
    ! [X] :
      ( ( ~ cC10xcomp(X)
        | ~ cC4(X)
        | cC56(X) )
      & ( ( cC10xcomp(X)
          & cC4(X) )
        | ~ cC56(X) ) ),
    inference(nnf_transformation,[status(thm)],[f93]) ).

fof(f93_sk,plain,
    ! [X] :
      ( ( ~ cC10xcomp(X)
        | ~ cC4(X)
        | cC56(X) )
      & ( ( cC10xcomp(X)
          & cC4(X) )
        | ~ cC56(X) ) ),
    inference(skolemisation,[status(esa)],[f93_nnf]) ).

cnf(c229,plain,
    ( ~ cC10xcomp(X0)
    | ~ cC4(X0)
    | cC56(X0) ),
    inference(cnf_transformation,[status(esa)],[f93_sk]) ).

cnf(p439,plain,
    ( ~ cC10xcomp(iV822576)
    | cC56(iV822576) ),
    inference(resolution,[status(thm)],[c361,c229]) ).

fof(f167,axiom,
    cC10xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_167) ).

fof(f167_nnf,plain,
    cC10xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f167]) ).

cnf(c379,plain,
    cC10xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f167_nnf]) ).

cnf(p517,plain,
    cC56(iV822576),
    inference(resolution,[status(thm)],[p439,c379]) ).

fof(f162,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).

fof(f162_nnf,plain,
    cC34(iV822576),
    inference(nnf_transformation,[status(thm)],[f162]) ).

cnf(c374,plain,
    cC34(iV822576),
    inference(cnf_transformation,[status(esa)],[f162_nnf]) ).

fof(f94,axiom,
    ! [X] :
      ( cC58(X)
    <=> ( cC56(X)
        & cC34(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).

fof(f94_nnf,plain,
    ! [X] :
      ( ( ~ cC56(X)
        | ~ cC34(X)
        | cC58(X) )
      & ( ( cC56(X)
          & cC34(X) )
        | ~ cC58(X) ) ),
    inference(nnf_transformation,[status(thm)],[f94]) ).

fof(f94_sk,plain,
    ! [X] :
      ( ( ~ cC56(X)
        | ~ cC34(X)
        | cC58(X) )
      & ( ( cC56(X)
          & cC34(X) )
        | ~ cC58(X) ) ),
    inference(skolemisation,[status(esa)],[f94_nnf]) ).

cnf(c232,plain,
    ( ~ cC56(X0)
    | ~ cC34(X0)
    | cC58(X0) ),
    inference(cnf_transformation,[status(esa)],[f94_sk]) ).

cnf(p460,plain,
    ( ~ cC56(iV822576)
    | cC58(iV822576) ),
    inference(resolution,[status(thm)],[c374,c232]) ).

cnf(p546,plain,
    cC58(iV822576),
    inference(resolution,[status(thm)],[p517,p460]) ).

cnf(p569,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p550,p546]) ).

fof(f151,axiom,
    cC112xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_151) ).

fof(f151_nnf,plain,
    cC112xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f151]) ).

cnf(c363,plain,
    cC112xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f151_nnf]) ).

fof(f21,axiom,
    ! [X] :
      ( cC114(X)
    <=> ( cC96xcomp(X)
        & cC112xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(f21_nnf,plain,
    ! [X] :
      ( ( ~ cC96xcomp(X)
        | ~ cC112xcomp(X)
        | cC114(X) )
      & ( ( cC96xcomp(X)
          & cC112xcomp(X) )
        | ~ cC114(X) ) ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ! [X] :
      ( ( ~ cC96xcomp(X)
        | ~ cC112xcomp(X)
        | cC114(X) )
      & ( ( cC96xcomp(X)
          & cC112xcomp(X) )
        | ~ cC114(X) ) ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c51,plain,
    ( ~ cC96xcomp(X0)
    | ~ cC112xcomp(X0)
    | cC114(X0) ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p445,plain,
    ( ~ cC96xcomp(iV822576)
    | cC114(iV822576) ),
    inference(resolution,[status(thm)],[c363,c51]) ).

fof(f153,axiom,
    cC96xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_153) ).

fof(f153_nnf,plain,
    cC96xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f153]) ).

cnf(c365,plain,
    cC96xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f153_nnf]) ).

cnf(p519,plain,
    cC114(iV822576),
    inference(resolution,[status(thm)],[p445,c365]) ).

fof(f22,axiom,
    ! [X] :
      ( cC116(X)
    <=> ( cC80(X)
        & cC114(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f22_nnf,plain,
    ! [X] :
      ( ( ~ cC80(X)
        | ~ cC114(X)
        | cC116(X) )
      & ( ( cC80(X)
          & cC114(X) )
        | ~ cC116(X) ) ),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ! [X] :
      ( ( ~ cC80(X)
        | ~ cC114(X)
        | cC116(X) )
      & ( ( cC80(X)
          & cC114(X) )
        | ~ cC116(X) ) ),
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c54,plain,
    ( ~ cC80(X0)
    | ~ cC114(X0)
    | cC116(X0) ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p547,plain,
    ( ~ cC80(iV822576)
    | cC116(iV822576) ),
    inference(resolution,[status(thm)],[p519,c54]) ).

fof(f158,axiom,
    cC78xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_158) ).

fof(f158_nnf,plain,
    cC78xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f158]) ).

cnf(c370,plain,
    cC78xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f158_nnf]) ).

fof(f117,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( cC76xcomp(X)
        & cC78xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).

fof(f117_nnf,plain,
    ! [X] :
      ( ( ~ cC76xcomp(X)
        | ~ cC78xcomp(X)
        | cC80(X) )
      & ( ( cC76xcomp(X)
          & cC78xcomp(X) )
        | ~ cC80(X) ) ),
    inference(nnf_transformation,[status(thm)],[f117]) ).

fof(f117_sk,plain,
    ! [X] :
      ( ( ~ cC76xcomp(X)
        | ~ cC78xcomp(X)
        | cC80(X) )
      & ( ( cC76xcomp(X)
          & cC78xcomp(X) )
        | ~ cC80(X) ) ),
    inference(skolemisation,[status(esa)],[f117_nnf]) ).

cnf(c291,plain,
    ( ~ cC76xcomp(X0)
    | ~ cC78xcomp(X0)
    | cC80(X0) ),
    inference(cnf_transformation,[status(esa)],[f117_sk]) ).

cnf(p452,plain,
    ( ~ cC76xcomp(iV822576)
    | cC80(iV822576) ),
    inference(resolution,[status(thm)],[c370,c291]) ).

fof(f152,axiom,
    cC76xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_152) ).

fof(f152_nnf,plain,
    cC76xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f152]) ).

cnf(c364,plain,
    cC76xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f152_nnf]) ).

cnf(p520,plain,
    cC80(iV822576),
    inference(resolution,[status(thm)],[p452,c364]) ).

cnf(p568,plain,
    cC116(iV822576),
    inference(resolution,[status(thm)],[p547,p520]) ).

cnf(p589,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p569,p568]) ).

cnf(p603,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p589,p519]) ).

cnf(p617,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p603,c0]) ).

fof(f161,axiom,
    cC86xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).

fof(f161_nnf,plain,
    cC86xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f161]) ).

cnf(c373,plain,
    cC86xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f161_nnf]) ).

fof(f136,axiom,
    ! [X] :
      ( cC94(X)
    <=> ( cC92xcomp(X)
        & cC86xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_136) ).

fof(f136_nnf,plain,
    ! [X] :
      ( ( ~ cC92xcomp(X)
        | ~ cC86xcomp(X)
        | cC94(X) )
      & ( ( cC92xcomp(X)
          & cC86xcomp(X) )
        | ~ cC94(X) ) ),
    inference(nnf_transformation,[status(thm)],[f136]) ).

fof(f136_sk,plain,
    ! [X] :
      ( ( ~ cC92xcomp(X)
        | ~ cC86xcomp(X)
        | cC94(X) )
      & ( ( cC92xcomp(X)
          & cC86xcomp(X) )
        | ~ cC94(X) ) ),
    inference(skolemisation,[status(esa)],[f136_nnf]) ).

cnf(c336,plain,
    ( ~ cC92xcomp(X0)
    | ~ cC86xcomp(X0)
    | cC94(X0) ),
    inference(cnf_transformation,[status(esa)],[f136_sk]) ).

cnf(p456,plain,
    ( ~ cC92xcomp(iV822576)
    | cC94(iV822576) ),
    inference(resolution,[status(thm)],[c373,c336]) ).

fof(f168,axiom,
    cC92xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).

fof(f168_nnf,plain,
    cC92xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f168]) ).

cnf(c380,plain,
    cC92xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f168_nnf]) ).

cnf(p521,plain,
    cC94(iV822576),
    inference(resolution,[status(thm)],[p456,c380]) ).

cnf(p647,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p617,p521]) ).

cnf(p685,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p647,p520]) ).

fof(f147,axiom,
    cC102xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).

fof(f147_nnf,plain,
    cC102xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f147]) ).

cnf(c359,plain,
    cC102xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f147_nnf]) ).

fof(f15,axiom,
    ! [X] :
      ( cC110(X)
    <=> ( cC108xcomp(X)
        & cC102xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f15_nnf,plain,
    ! [X] :
      ( ( ~ cC108xcomp(X)
        | ~ cC102xcomp(X)
        | cC110(X) )
      & ( ( cC108xcomp(X)
          & cC102xcomp(X) )
        | ~ cC110(X) ) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [X] :
      ( ( ~ cC108xcomp(X)
        | ~ cC102xcomp(X)
        | cC110(X) )
      & ( ( cC108xcomp(X)
          & cC102xcomp(X) )
        | ~ cC110(X) ) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c37,plain,
    ( ~ cC108xcomp(X0)
    | ~ cC102xcomp(X0)
    | cC110(X0) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p430,plain,
    ( ~ cC108xcomp(iV822576)
    | cC110(iV822576) ),
    inference(resolution,[status(thm)],[c359,c37]) ).

fof(f148,axiom,
    cC108xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

fof(f148_nnf,plain,
    cC108xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f148]) ).

cnf(c360,plain,
    cC108xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f148_nnf]) ).

cnf(p511,plain,
    cC110(iV822576),
    inference(resolution,[status(thm)],[p430,c360]) ).

cnf(p723,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p685,p511]) ).

fof(f160,axiom,
    cC134xcomp(iV822576),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).

fof(f160_nnf,plain,
    cC134xcomp(iV822576),
    inference(nnf_transformation,[status(thm)],[f160]) ).

cnf(c372,plain,
    cC134xcomp(iV822576),
    inference(cnf_transformation,[status(esa)],[f160_nnf]) ).

fof(f42,axiom,
    ! [X] :
      ( cC136(X)
    <=> ( cC116(X)
        & cC134xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

fof(f42_nnf,plain,
    ! [X] :
      ( ( ~ cC116(X)
        | ~ cC134xcomp(X)
        | cC136(X) )
      & ( ( cC116(X)
          & cC134xcomp(X) )
        | ~ cC136(X) ) ),
    inference(nnf_transformation,[status(thm)],[f42]) ).

fof(f42_sk,plain,
    ! [X] :
      ( ( ~ cC116(X)
        | ~ cC134xcomp(X)
        | cC136(X) )
      & ( ( cC116(X)
          & cC134xcomp(X) )
        | ~ cC136(X) ) ),
    inference(skolemisation,[status(esa)],[f42_nnf]) ).

cnf(c105,plain,
    ( ~ cC116(X0)
    | ~ cC134xcomp(X0)
    | cC136(X0) ),
    inference(cnf_transformation,[status(esa)],[f42_sk]) ).

cnf(p454,plain,
    ( ~ cC116(iV822576)
    | cC136(iV822576) ),
    inference(resolution,[status(thm)],[c372,c105]) ).

cnf(p588,plain,
    cC136(iV822576),
    inference(resolution,[status(thm)],[p568,p454]) ).

cnf(p771,plain,
    ( ~ cC56(iV822576)
    | xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p723,p588]) ).

cnf(p824,plain,
    ( xsd_string(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p771,p517]) ).

cnf(c383,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_string(sk92)
    | xsd_integer(sk92)
    | cowlNothing(sk91)
    | ~ cowlThing(sk91) ),
    inference(cnf_transformation,[status(esa)],[f169_sk]) ).

cnf(p473,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_string(sk92)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[c383,c0]) ).

cnf(p863,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p824,p473]) ).

cnf(p896,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(factoring,[status(thm)],[p863]) ).

cnf(p930,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p896,p546]) ).

cnf(p959,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p930,p568]) ).

cnf(p1023,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p959,p519]) ).

cnf(p1177,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p1023,c0]) ).

cnf(p1363,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p1177,p521]) ).

cnf(p1604,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p1363,p520]) ).

cnf(p1900,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p1604,p511]) ).

cnf(p2226,plain,
    ( ~ cC56(iV822576)
    | xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p1900,p588]) ).

cnf(p2572,plain,
    ( xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p2226,p517]) ).

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

cnf(p862,plain,
    ( ~ xsd_integer(sk92)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p824,c2]) ).

cnf(p2950,plain,
    ( cowlNothing(sk91)
    | cowlNothing(sk91) ),
    inference(resolution,[status(thm)],[p2572,p862]) ).

cnf(p3347,plain,
    cowlNothing(sk91),
    inference(factoring,[status(thm)],[p2950]) ).

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

cnf(p3740,plain,
    $false,
    inference(resolution,[status(thm)],[p3347,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36  % Computer : n014.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Wed Sep 23 19:32:18 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.89/1.16  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/1.16  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------