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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 : Tue Sep 29 11:42:16 AM UTC 2026

% Result   : Unsatisfiable 0.10s 0.44s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   70 (  10 unt;   4 def)
%            Number of atoms       :  369 (  51 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  453 ( 154   ~; 145   |; 135   &)
%                                         (   9 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-1 aty)
%            Number of variables   :  205 ( 147   !;  58   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr3(X0,X1)
            & ? [X2] :
                ( rt3(X1,X2)
                & ce(X2) )
            & ! [X3,X4] :
                ( ( rtt(X1,X3)
                  & rtt(X1,X4) )
               => X3 = X4 ) )
        & ? [X1] :
            ( rr2(X0,X1)
            & ! [X3,X4] :
                ( ( rtt(X1,X3)
                  & rtt(X1,X4) )
               => X3 = X4 )
            & ? [X2] :
                ( rt2(X1,X2)
                & cd(X2) ) )
        & ~ ? [X5,X6] :
              ( rr(X0,X5)
              & rr(X0,X6)
              & X5 != X6 )
        & ? [X1] :
            ( rr1(X0,X1)
            & ! [X3,X4] :
                ( ( rtt(X1,X3)
                  & rtt(X1,X4) )
               => X3 = X4 )
            & ? [X2] :
                ( rt1(X1,X2)
                & cc(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f30,axiom,
    cUnsatisfiable(i2003_11_14_17_20_25524),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f33,axiom,
    ! [X0] :
      ~ ( ce(X0)
        & cd(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( rr2(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( rt2(X0,X1)
     => rtt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( rr3(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( rt3(X0,X1)
     => rtt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f40,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr3(X0,X1)
            & ? [X2] :
                ( rt3(X1,X2)
                & ce(X2) )
            & ! [X3,X4] :
                ( ( rtt(X1,X3)
                  & rtt(X1,X4) )
               => X3 = X4 ) )
        & ? [X5] :
            ( rr2(X0,X5)
            & ! [X6,X7] :
                ( ( rtt(X5,X6)
                  & rtt(X5,X7) )
               => X6 = X7 )
            & ? [X8] :
                ( rt2(X5,X8)
                & cd(X8) ) )
        & ~ ? [X9,X10] :
              ( rr(X0,X9)
              & rr(X0,X10)
              & X9 != X10 )
        & ? [X11] :
            ( rr1(X0,X11)
            & ! [X12,X13] :
                ( ( rtt(X11,X12)
                  & rtt(X11,X13) )
               => X12 = X13 )
            & ? [X14] :
                ( rt1(X11,X14)
                & cc(X14) ) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f91,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr3(X0,X1)
            & ? [X2] :
                ( rt3(X1,X2)
                & ce(X2) )
            & ! [X3,X4] :
                ( X3 = X4
                | ~ rtt(X1,X3)
                | ~ rtt(X1,X4) ) )
        & ? [X5] :
            ( rr2(X0,X5)
            & ! [X6,X7] :
                ( X6 = X7
                | ~ rtt(X5,X6)
                | ~ rtt(X5,X7) )
            & ? [X8] :
                ( rt2(X5,X8)
                & cd(X8) ) )
        & ! [X9,X10] :
            ( ~ rr(X0,X9)
            | ~ rr(X0,X10)
            | X9 = X10 )
        & ? [X11] :
            ( rr1(X0,X11)
            & ! [X12,X13] :
                ( X12 = X13
                | ~ rtt(X11,X12)
                | ~ rtt(X11,X13) )
            & ? [X14] :
                ( rt1(X11,X14)
                & cc(X14) ) ) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f92,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr3(X0,X1)
            & ? [X2] :
                ( rt3(X1,X2)
                & ce(X2) )
            & ! [X3,X4] :
                ( X3 = X4
                | ~ rtt(X1,X3)
                | ~ rtt(X1,X4) ) )
        & ? [X5] :
            ( rr2(X0,X5)
            & ! [X6,X7] :
                ( X6 = X7
                | ~ rtt(X5,X6)
                | ~ rtt(X5,X7) )
            & ? [X8] :
                ( rt2(X5,X8)
                & cd(X8) ) )
        & ! [X9,X10] :
            ( ~ rr(X0,X9)
            | ~ rr(X0,X10)
            | X9 = X10 )
        & ? [X11] :
            ( rr1(X0,X11)
            & ! [X12,X13] :
                ( X12 = X13
                | ~ rtt(X11,X12)
                | ~ rtt(X11,X13) )
            & ? [X14] :
                ( rt1(X11,X14)
                & cc(X14) ) ) ) ),
    inference(flattening,[],[f91]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ ce(X0)
      | ~ cd(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rr2(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( rtt(X0,X1)
      | ~ rt2(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rr3(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( rtt(X0,X1)
      | ~ rt3(X0,X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f102,definition,
    ! [X0] :
      ( sP0(X0)
    <=> ? [X11] :
          ( rr1(X0,X11)
          & ! [X12,X13] :
              ( X12 = X13
              | ~ rtt(X11,X12)
              | ~ rtt(X11,X13) )
          & ? [X14] :
              ( rt1(X11,X14)
              & cc(X14) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f103,definition,
    ! [X0] :
      ( sP1(X0)
    <=> ! [X9,X10] :
          ( ~ rr(X0,X9)
          | ~ rr(X0,X10)
          | X9 = X10 ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f104,definition,
    ! [X0] :
      ( sP2(X0)
    <=> ? [X5] :
          ( rr2(X0,X5)
          & ! [X6,X7] :
              ( X6 = X7
              | ~ rtt(X5,X6)
              | ~ rtt(X5,X7) )
          & ? [X8] :
              ( rt2(X5,X8)
              & cd(X8) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f105,definition,
    ! [X0] :
      ( sP3(X0)
    <=> ( ? [X1] :
            ( rr3(X0,X1)
            & ? [X2] :
                ( rt3(X1,X2)
                & ce(X2) )
            & ! [X3,X4] :
                ( X3 = X4
                | ~ rtt(X1,X3)
                | ~ rtt(X1,X4) ) )
        & sP2(X0)
        & sP1(X0)
        & sP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f106,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> sP3(X0) ),
    inference(definition_folding,[],[f92,f105,f104,f103,f102]) ).

fof(f108,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ! [X1] :
            ( ~ rr3(X0,X1)
            | ! [X2] :
                ( ~ rt3(X1,X2)
                | ~ ce(X2) )
            | ? [X3,X4] :
                ( X3 != X4
                & rtt(X1,X3)
                & rtt(X1,X4) ) )
        | ~ sP2(X0)
        | ~ sP1(X0)
        | ~ sP0(X0) )
      & ( ( ? [X1] :
              ( rr3(X0,X1)
              & ? [X2] :
                  ( rt3(X1,X2)
                  & ce(X2) )
              & ! [X3,X4] :
                  ( X3 = X4
                  | ~ rtt(X1,X3)
                  | ~ rtt(X1,X4) ) )
          & sP2(X0)
          & sP1(X0)
          & sP0(X0) )
        | ~ sP3(X0) ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f109,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ! [X1] :
            ( ~ rr3(X0,X1)
            | ! [X2] :
                ( ~ rt3(X1,X2)
                | ~ ce(X2) )
            | ? [X3,X4] :
                ( X3 != X4
                & rtt(X1,X3)
                & rtt(X1,X4) ) )
        | ~ sP2(X0)
        | ~ sP1(X0)
        | ~ sP0(X0) )
      & ( ( ? [X1] :
              ( rr3(X0,X1)
              & ? [X2] :
                  ( rt3(X1,X2)
                  & ce(X2) )
              & ! [X3,X4] :
                  ( X3 = X4
                  | ~ rtt(X1,X3)
                  | ~ rtt(X1,X4) ) )
          & sP2(X0)
          & sP1(X0)
          & sP0(X0) )
        | ~ sP3(X0) ) ),
    inference(flattening,[],[f108]) ).

fof(f110,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ! [X1] :
            ( ~ rr3(X0,X1)
            | ! [X2] :
                ( ~ rt3(X1,X2)
                | ~ ce(X2) )
            | ? [X3,X4] :
                ( X3 != X4
                & rtt(X1,X3)
                & rtt(X1,X4) ) )
        | ~ sP2(X0)
        | ~ sP1(X0)
        | ~ sP0(X0) )
      & ( ( ? [X5] :
              ( rr3(X0,X5)
              & ? [X6] :
                  ( rt3(X5,X6)
                  & ce(X6) )
              & ! [X7,X8] :
                  ( X7 = X8
                  | ~ rtt(X5,X7)
                  | ~ rtt(X5,X8) ) )
          & sP2(X0)
          & sP1(X0)
          & sP0(X0) )
        | ~ sP3(X0) ) ),
    inference(rectify,[],[f109]) ).

fof(f111,plain,
    ! [X0] :
      ( ( sP3(X0)
        | ! [X1] :
            ( ~ rr3(X0,X1)
            | ! [X2] :
                ( ~ rt3(X1,X2)
                | ~ ce(X2) )
            | ( sK4(X1) != sK5(X1)
              & rtt(X1,sK4(X1))
              & rtt(X1,sK5(X1)) ) )
        | ~ sP2(X0)
        | ~ sP1(X0)
        | ~ sP0(X0) )
      & ( ( rr3(X0,sK6(X0))
          & rt3(sK6(X0),sK7(X0))
          & ce(sK7(X0))
          & ! [X7,X8] :
              ( X7 = X8
              | ~ rtt(sK6(X0),X7)
              | ~ rtt(sK6(X0),X8) )
          & sP2(X0)
          & sP1(X0)
          & sP0(X0) )
        | ~ sP3(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X3,sK4(X1)),skolemize(X4,sK5(X1)),skolemize(X5,sK6(X0)),skolemize(X6,sK7(X0))],[f110]) ).

fof(f112,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ! [X5] :
            ( ~ rr2(X0,X5)
            | ? [X6,X7] :
                ( X6 != X7
                & rtt(X5,X6)
                & rtt(X5,X7) )
            | ! [X8] :
                ( ~ rt2(X5,X8)
                | ~ cd(X8) ) ) )
      & ( ? [X5] :
            ( rr2(X0,X5)
            & ! [X6,X7] :
                ( X6 = X7
                | ~ rtt(X5,X6)
                | ~ rtt(X5,X7) )
            & ? [X8] :
                ( rt2(X5,X8)
                & cd(X8) ) )
        | ~ sP2(X0) ) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f113,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ! [X1] :
            ( ~ rr2(X0,X1)
            | ? [X2,X3] :
                ( X2 != X3
                & rtt(X1,X2)
                & rtt(X1,X3) )
            | ! [X4] :
                ( ~ rt2(X1,X4)
                | ~ cd(X4) ) ) )
      & ( ? [X5] :
            ( rr2(X0,X5)
            & ! [X6,X7] :
                ( X6 = X7
                | ~ rtt(X5,X6)
                | ~ rtt(X5,X7) )
            & ? [X8] :
                ( rt2(X5,X8)
                & cd(X8) ) )
        | ~ sP2(X0) ) ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( sP2(X0)
        | ! [X1] :
            ( ~ rr2(X0,X1)
            | ( sK8(X1) != sK9(X1)
              & rtt(X1,sK8(X1))
              & rtt(X1,sK9(X1)) )
            | ! [X4] :
                ( ~ rt2(X1,X4)
                | ~ cd(X4) ) ) )
      & ( ( rr2(X0,sK10(X0))
          & ! [X6,X7] :
              ( X6 = X7
              | ~ rtt(sK10(X0),X6)
              | ~ rtt(sK10(X0),X7) )
          & rt2(sK10(X0),sK11(X0))
          & cd(sK11(X0)) )
        | ~ sP2(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X2,sK8(X1)),skolemize(X3,sK9(X1)),skolemize(X5,sK10(X0)),skolemize(X8,sK11(X0))],[f113]) ).

fof(f115,plain,
    ! [X0] :
      ( ( sP1(X0)
        | ? [X9,X10] :
            ( rr(X0,X9)
            & rr(X0,X10)
            & X9 != X10 ) )
      & ( ! [X9,X10] :
            ( ~ rr(X0,X9)
            | ~ rr(X0,X10)
            | X9 = X10 )
        | ~ sP1(X0) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f116,plain,
    ! [X0] :
      ( ( sP1(X0)
        | ? [X1,X2] :
            ( rr(X0,X1)
            & rr(X0,X2)
            & X1 != X2 ) )
      & ( ! [X3,X4] :
            ( ~ rr(X0,X3)
            | ~ rr(X0,X4)
            | X3 = X4 )
        | ~ sP1(X0) ) ),
    inference(rectify,[],[f115]) ).

fof(f117,plain,
    ! [X0] :
      ( ( sP1(X0)
        | ( rr(X0,sK12(X0))
          & rr(X0,sK13(X0))
          & sK12(X0) != sK13(X0) ) )
      & ( ! [X3,X4] :
            ( ~ rr(X0,X3)
            | ~ rr(X0,X4)
            | X3 = X4 )
        | ~ sP1(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f116]) ).

fof(f121,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ sP3(X0) )
      & ( sP3(X0)
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f156,plain,
    ! [X0,X8,X7] :
      ( ~ rtt(sK6(X0),X8)
      | ~ rtt(sK6(X0),X7)
      | X7 = X8
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f157,plain,
    ! [X0] :
      ( ce(sK7(X0))
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f158,plain,
    ! [X0] :
      ( rt3(sK6(X0),sK7(X0))
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f159,plain,
    ! [X0] :
      ( rr3(X0,sK6(X0))
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f163,plain,
    ! [X0] :
      ( cd(sK11(X0))
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f164,plain,
    ! [X0] :
      ( rt2(sK10(X0),sK11(X0))
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f166,plain,
    ! [X0] :
      ( rr2(X0,sK10(X0))
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f170,plain,
    ! [X3,X0,X4] :
      ( ~ rr(X0,X4)
      | ~ rr(X0,X3)
      | X3 = X4
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | sP3(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f186,plain,
    cUnsatisfiable(i2003_11_14_17_20_25524),
    inference(cnf_transformation,[],[f30]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ ce(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ rr2(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ rt2(X0,X1)
      | rtt(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ rr3(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ rt3(X0,X1)
      | rtt(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f222,plain,
    sP3(i2003_11_14_17_20_25524),
    inference(resolution,[],[f181,f186]) ).

fof(f224,plain,
    sP2(i2003_11_14_17_20_25524),
    inference(resolution,[],[f222,f155]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ cd(sK7(X0))
      | ~ sP3(X0) ),
    inference(resolution,[],[f157,f189]) ).

fof(f235,plain,
    ! [X0] :
      ( rr(X0,sK10(X0))
      | ~ sP2(X0) ),
    inference(resolution,[],[f191,f166]) ).

fof(f236,plain,
    ! [X0] :
      ( rr(X0,sK6(X0))
      | ~ sP3(X0) ),
    inference(resolution,[],[f194,f159]) ).

fof(f237,plain,
    ! [X0] :
      ( rtt(sK6(X0),sK7(X0))
      | ~ sP3(X0) ),
    inference(resolution,[],[f158,f195]) ).

fof(f238,plain,
    ! [X0] :
      ( rtt(sK10(X0),sK11(X0))
      | ~ sP2(X0) ),
    inference(resolution,[],[f164,f193]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | sK6(X0) = X1
      | ~ sP1(X0)
      | ~ sP3(X0) ),
    inference(resolution,[],[f170,f236]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | sK6(X0) = X1
      | ~ sP3(X0) ),
    inference(forward_subsumption_resolution,[],[f240,f154]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ rtt(sK6(X0),X1)
      | sK7(X0) = X1
      | ~ sP3(X0)
      | ~ sP3(X0) ),
    inference(resolution,[],[f156,f237]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ rtt(sK6(X0),X1)
      | sK7(X0) = X1
      | ~ sP3(X0) ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f251,plain,
    ! [X0] :
      ( sK6(X0) = sK10(X0)
      | ~ sP3(X0)
      | ~ sP2(X0) ),
    inference(resolution,[],[f245,f235]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sK6(X0) = sK10(X0) ),
    inference(forward_subsumption_resolution,[],[f251,f155]) ).

fof(f322,plain,
    sK6(i2003_11_14_17_20_25524) = sK10(i2003_11_14_17_20_25524),
    inference(resolution,[],[f257,f222]) ).

fof(f330,plain,
    ( rtt(sK6(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524))
    | ~ sP2(i2003_11_14_17_20_25524) ),
    inference(superposition,[],[f238,f322]) ).

fof(f335,plain,
    rtt(sK6(i2003_11_14_17_20_25524),sK11(i2003_11_14_17_20_25524)),
    inference(forward_subsumption_resolution,[],[f330,f224]) ).

fof(f361,plain,
    ( sK11(i2003_11_14_17_20_25524) = sK7(i2003_11_14_17_20_25524)
    | ~ sP3(i2003_11_14_17_20_25524) ),
    inference(resolution,[],[f247,f335]) ).

fof(f363,plain,
    sK11(i2003_11_14_17_20_25524) = sK7(i2003_11_14_17_20_25524),
    inference(forward_subsumption_resolution,[],[f361,f222]) ).

fof(f384,plain,
    ( cd(sK7(i2003_11_14_17_20_25524))
    | ~ sP2(i2003_11_14_17_20_25524) ),
    inference(superposition,[],[f163,f363]) ).

fof(f385,plain,
    cd(sK7(i2003_11_14_17_20_25524)),
    inference(forward_subsumption_resolution,[],[f384,f224]) ).

fof(f396,plain,
    ~ sP3(i2003_11_14_17_20_25524),
    inference(resolution,[],[f385,f227]) ).

fof(f399,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f396,f222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n007.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 13:20:55 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39  Running first-order model finding
% 0.10/0.39  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44  % (1416067)Will run a generic schedule for satisfiability detection.
% 0.10/0.44  % (1416074)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1220505867:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44  % (1416073)% WARNING: option uhcvi not known.
% 0.10/0.44  % (1416073)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=536706800:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44  % (1416072)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2041861477_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44  % (1416078)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4126176776:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44  % (1416075)dis+10_1_sil=32000:sp=arity:random_seed=3514276991:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44  % (1416076)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4120298212:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44  % (1416077)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1008342745:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44  % TRYING [1]
% 0.10/0.44  % TRYING [2]
% 0.10/0.44  % TRYING [3]
% 0.10/0.44  % TRYING [4]
% 0.10/0.44  % (1416075) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1416067-1416075"...
% 0.10/0.44  % (1416078) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1416067-1416078"...
% 0.10/0.44  % TRYING [5]
% 0.10/0.44  % (1416077) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1416067-1416077"...
% 0.10/0.44  % (1416075)...printing done.
% 0.10/0.44  % (1416074) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1416067-1416074"...
% 0.10/0.44  % (1416075)Refutation found. Thanks to Tanya!
% 0.10/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44  % (1416075)------------------------------
% 0.10/0.44  % (1416075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45  % (1416075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45  % (1416075)CaDiCaL version: 2.1.3
% 0.10/0.45  % (1416075)Termination reason: Refutation
% 0.10/0.45  % (1416075)Time elapsed: 0.008 s
% 0.10/0.45  % (1416075)Peak memory usage: 12 MB
% 0.10/0.45  % (1416075)Instructions burned: 10 (million)
% 0.10/0.45  % (1416067)Success in time 0.042 s
% 0.10/0.45  % Vampire exiting
%------------------------------------------------------------------------------