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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS150+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 : n006.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 01:53:20 PM UTC 2026

% Result   : Theorem 3.54s 11.31s
% Output   : Proof 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   96 (  27 unt;   0 def)
%            Number of atoms       :  444 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  593 ( 245   ~; 284   |;  56   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   37 (   2 sgn  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X] :
      ( cC6(X)
    <=> ( ~ cC4(X)
        & ~ cC2(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f8_nnf,plain,
    ! [X] :
      ( ( cC4(X)
        | cC2(X)
        | cC6(X) )
      & ( ( ~ cC4(X)
          & ~ cC2(X) )
        | ~ cC6(X) ) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [X] :
      ( ( cC4(X)
        | cC2(X)
        | cC6(X) )
      & ( ( ~ cC4(X)
          & ~ cC2(X) )
        | ~ cC6(X) ) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c24,plain,
    ( cC4(X0)
    | cC2(X0)
    | cC6(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

fof(f10,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cTOP(X)
        & cC18(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ( ~ cTOP(X)
        | ~ cC18(X)
        | cTEST(X) )
      & ( ( cTOP(X)
          & cC18(X) )
        | ~ cTEST(X) ) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ( ~ cTOP(X)
        | ~ cC18(X)
        | cTEST(X) )
      & ( ( cTOP(X)
          & cC18(X) )
        | ~ cTEST(X) ) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c28,plain,
    ( cC18(X0)
    | ~ cTEST(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

fof(f12,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f12_nnf,plain,
    cTEST(iV16560),
    inference(nnf_transformation,[status(thm)],[f12]) ).

cnf(c32,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[status(esa)],[f12_nnf]) ).

cnf(p54,plain,
    cC18(iV16560),
    inference(resolution,[status(thm)],[c28,c32]) ).

fof(f6,axiom,
    ! [X] :
      ( cC18(X)
    <=> ( cC16(X)
        & cTOP(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f6_nnf,plain,
    ! [X] :
      ( ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
      & ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] :
      ( ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
      & ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c17,plain,
    ( cC16(X0)
    | ~ cC18(X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p56,plain,
    cC16(iV16560),
    inference(resolution,[status(thm)],[p54,c17]) ).

fof(f5,axiom,
    ! [X] :
      ( cC16(X)
    <=> ( cC8(X)
        & cC14(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f5_nnf,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
      & ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
      & ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c14,plain,
    ( cC8(X0)
    | ~ cC16(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p58,plain,
    cC8(iV16560),
    inference(resolution,[status(thm)],[p56,c14]) ).

cnf(c13,plain,
    ( cC14(X0)
    | ~ cC16(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p57,plain,
    cC14(iV16560),
    inference(resolution,[status(thm)],[p56,c13]) ).

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(f24,conjecture,
    ( cC12(iV16562)
    & cowlThing(iV16562)
    & cC6(iV16561)
    & cowlThing(iV16561)
    & cC8(iV16560)
    & cC14(iV16560)
    & cowlThing(iV16560)
    & cC16(iV16560)
    & cC18(iV16560)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f24_neg,negated_conjecture,
    ~ ( cC12(iV16562)
      & cowlThing(iV16562)
      & cC6(iV16561)
      & cowlThing(iV16561)
      & cC8(iV16560)
      & cC14(iV16560)
      & cowlThing(iV16560)
      & cC16(iV16560)
      & cC18(iV16560)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f24]) ).

fof(f24_nnf,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ? [X] :
        ( ( ~ xsd_integer(X)
          & ~ xsd_string(X) )
        | ( xsd_integer(X)
          & xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(nnf_transformation,[status(thm)],[f24_neg]) ).

fof(f24_sk,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ( ~ xsd_integer(sk5)
      & ~ xsd_string(sk5) )
    | ( xsd_integer(sk5)
      & xsd_string(sk5) )
    | cowlNothing(sk4)
    | ~ cowlThing(sk4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5])],[f24_nnf]) ).

cnf(c45,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sk5)
    | xsd_string(sk5)
    | cowlNothing(sk4)
    | ~ cowlThing(sk4) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p48,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sk5)
    | xsd_string(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[c0,c45]) ).

cnf(p50,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_string(sk5)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[c3,p48]) ).

cnf(p51,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(factoring,[status(thm)],[p50]) ).

cnf(p55,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p54,p51]) ).

cnf(p59,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p56,p55]) ).

cnf(p60,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p59,c0]) ).

cnf(p62,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p57,p60]) ).

cnf(p64,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p58,p62]) ).

cnf(p65,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p64,c0]) ).

cnf(p86,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5)
    | cC4(iV16561)
    | cC2(iV16561) ),
    inference(resolution,[status(thm)],[c24,p65]) ).

cnf(p87,plain,
    ( ~ cC12(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5)
    | cC4(iV16561)
    | cC2(iV16561) ),
    inference(resolution,[status(thm)],[p86,c0]) ).

fof(f3,axiom,
    ! [X] :
      ( cC12(X)
    <=> ( ~ cC10(X)
        & ~ cC2(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f3_nnf,plain,
    ! [X] :
      ( ( cC10(X)
        | cC2(X)
        | cC12(X) )
      & ( ( ~ cC10(X)
          & ~ cC2(X) )
        | ~ cC12(X) ) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [X] :
      ( ( cC10(X)
        | cC2(X)
        | cC12(X) )
      & ( ( ~ cC10(X)
          & ~ cC2(X) )
        | ~ cC12(X) ) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c9,plain,
    ( cC10(X0)
    | cC2(X0)
    | cC12(X0) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p88,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5)
    | cC4(iV16561)
    | cC2(iV16561) ),
    inference(resolution,[status(thm)],[p87,c9]) ).

fof(f16,axiom,
    ~ cC4(iV16561),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(f16_nnf,plain,
    ~ cC4(iV16561),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ~ cC4(iV16561),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c36,plain,
    ~ cC4(iV16561),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(p89,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5)
    | cC2(iV16561) ),
    inference(resolution,[status(thm)],[p88,c36]) ).

fof(f19,axiom,
    ~ cC2(iV16561),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f19_nnf,plain,
    ~ cC2(iV16561),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ~ cC2(iV16561),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c39,plain,
    ~ cC2(iV16561),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(p90,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p89,c39]) ).

fof(f21,axiom,
    ~ cC2(iV16562),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f21_nnf,plain,
    ~ cC2(iV16562),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ~ cC2(iV16562),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c41,plain,
    ~ cC2(iV16562),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p91,plain,
    ( cC10(iV16562)
    | cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p90,c41]) ).

fof(f20,axiom,
    ~ cC10(iV16562),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f20_nnf,plain,
    ~ cC10(iV16562),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ~ cC10(iV16562),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c40,plain,
    ~ cC10(iV16562),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(p92,plain,
    ( cowlNothing(sk4)
    | xsd_string(sk5) ),
    inference(resolution,[status(thm)],[p91,c40]) ).

cnf(c46,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sk5)
    | xsd_integer(sk5)
    | cowlNothing(sk4)
    | ~ cowlThing(sk4) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p49,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sk5)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[c0,c46]) ).

cnf(p93,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p92,p49]) ).

cnf(p95,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(factoring,[status(thm)],[p93]) ).

cnf(p96,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p95,p54]) ).

cnf(p97,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p96,p56]) ).

cnf(p98,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p97,c0]) ).

cnf(p99,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p98,p57]) ).

cnf(p100,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p99,p58]) ).

cnf(p101,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p100,c0]) ).

cnf(p102,plain,
    ( cC4(iV16561)
    | cC2(iV16561)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p101,c24]) ).

cnf(p103,plain,
    ( cC4(iV16561)
    | cC2(iV16561)
    | ~ cC12(iV16562)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p102,c0]) ).

cnf(p104,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | cC4(iV16561)
    | cC2(iV16561)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p103,c9]) ).

cnf(p105,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | cC2(iV16561)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p104,c36]) ).

cnf(p106,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p105,c39]) ).

cnf(p107,plain,
    ( cC10(iV16562)
    | xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p106,c41]) ).

cnf(p108,plain,
    ( xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p107,c40]) ).

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

cnf(p94,plain,
    ( ~ xsd_integer(sk5)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p92,c2]) ).

cnf(p109,plain,
    ( cowlNothing(sk4)
    | cowlNothing(sk4) ),
    inference(resolution,[status(thm)],[p108,p94]) ).

cnf(p110,plain,
    cowlNothing(sk4),
    inference(factoring,[status(thm)],[p109]) ).

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

cnf(p111,plain,
    $false,
    inference(resolution,[status(thm)],[p110,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/10.58  % Computer : n006.cluster.edu
% 0.11/10.58  % Model    : x86_64 x86_64
% 0.11/10.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.58  % Memory   : 8046.5625MB
% 0.11/10.58  % OS       : Linux 6.8.0-71-generic
% 0.11/10.58  % CPULimit : 300
% 0.11/10.58  % WCLimit  : 300
% 0.11/10.58  % DateTime : Wed Sep 23 19:31:53 UTC 2026
% 0.11/10.59  % CPUTime  : 
% 0.11/10.59  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.54/11.31  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/11.31  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------