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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 : Tue Sep 29 12:04:40 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.45s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   82 (  27 unt;   4 def)
%            Number of atoms       :  356 (  48 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  459 ( 185   ~; 191   |;  72   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :  113 (   0 sgn  97   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( odrl_rel(X0)
     => ( ? [X3] :
            ( permission(X3)
            & part_of(X3,X0)
            & cnt(X3,X1,X2)
            & ! [X4] :
                ( ( permission(X4)
                  & part_of(X4,X0)
                  & cnt(X4,X1,X2) )
               => X4 = X3 ) )
      <=> ? [X5] :
            ( no_right(X5)
            & part_of(X5,X0)
            & cnt(X5,X1,X2)
            & ! [X6] :
                ( ( no_right(X6)
                  & part_of(X6,X0)
                  & cnt(X6,X1,X2) )
               => X6 = X5 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_correlativity_permission) ).

fof(f6,axiom,
    odrl_rel(rho1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).

fof(f7,axiom,
    permission(l),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).

fof(f8,axiom,
    no_right(n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n1) ).

fof(f9,axiom,
    no_right(n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n2) ).

fof(f10,axiom,
    part_of(l,rho1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_l) ).

fof(f11,axiom,
    part_of(n1,rho1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n1) ).

fof(f12,axiom,
    part_of(n2,rho1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_n2) ).

fof(f13,axiom,
    cnt(l,some_action,some_target),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).

fof(f14,axiom,
    cnt(n1,some_action,some_target),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n1) ).

fof(f15,axiom,
    cnt(n2,some_action,some_target),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n2) ).

fof(f18,axiom,
    n1 != n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1_neq_n2) ).

fof(f19,axiom,
    ! [X0] :
      ( ( permission(X0)
        & part_of(X0,rho1)
        & cnt(X0,some_action,some_target) )
     => X0 = l ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_l_unique) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( permission(X3)
            & part_of(X3,X0)
            & cnt(X3,X1,X2)
            & ! [X4] :
                ( X4 = X3
                | ~ permission(X4)
                | ~ part_of(X4,X0)
                | ~ cnt(X4,X1,X2) ) )
      <=> ? [X5] :
            ( no_right(X5)
            & part_of(X5,X0)
            & cnt(X5,X1,X2)
            & ! [X6] :
                ( X6 = X5
                | ~ no_right(X6)
                | ~ part_of(X6,X0)
                | ~ cnt(X6,X1,X2) ) ) )
      | ~ odrl_rel(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( permission(X3)
            & part_of(X3,X0)
            & cnt(X3,X1,X2)
            & ! [X4] :
                ( X4 = X3
                | ~ permission(X4)
                | ~ part_of(X4,X0)
                | ~ cnt(X4,X1,X2) ) )
      <=> ? [X5] :
            ( no_right(X5)
            & part_of(X5,X0)
            & cnt(X5,X1,X2)
            & ! [X6] :
                ( X6 = X5
                | ~ no_right(X6)
                | ~ part_of(X6,X0)
                | ~ cnt(X6,X1,X2) ) ) )
      | ~ odrl_rel(X0) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0] :
      ( X0 = l
      | ~ permission(X0)
      | ~ part_of(X0,rho1)
      | ~ cnt(X0,some_action,some_target) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f29,plain,
    ! [X0] :
      ( X0 = l
      | ~ permission(X0)
      | ~ part_of(X0,rho1)
      | ~ cnt(X0,some_action,some_target) ),
    inference(flattening,[],[f28]) ).

fof(f30,definition,
    ! [X0,X2,X1] :
      ( sP0(X0,X2,X1)
    <=> ? [X3] :
          ( permission(X3)
          & part_of(X3,X0)
          & cnt(X3,X1,X2)
          & ! [X4] :
              ( X4 = X3
              | ~ permission(X4)
              | ~ part_of(X4,X0)
              | ~ cnt(X4,X1,X2) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f31,definition,
    ! [X0,X2,X1] :
      ( ( sP0(X0,X2,X1)
      <=> ? [X5] :
            ( no_right(X5)
            & part_of(X5,X0)
            & cnt(X5,X1,X2)
            & ! [X6] :
                ( X6 = X5
                | ~ no_right(X6)
                | ~ part_of(X6,X0)
                | ~ cnt(X6,X1,X2) ) ) )
      | ~ sP1(X0,X2,X1) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( sP1(X0,X2,X1)
      | ~ odrl_rel(X0) ),
    inference(definition_folding,[],[f27,f31,f30]) ).

fof(f33,plain,
    ! [X0,X2,X1] :
      ( ( ( sP0(X0,X2,X1)
          | ! [X5] :
              ( ~ no_right(X5)
              | ~ part_of(X5,X0)
              | ~ cnt(X5,X1,X2)
              | ? [X6] :
                  ( X5 != X6
                  & no_right(X6)
                  & part_of(X6,X0)
                  & cnt(X6,X1,X2) ) ) )
        & ( ? [X5] :
              ( no_right(X5)
              & part_of(X5,X0)
              & cnt(X5,X1,X2)
              & ! [X6] :
                  ( X6 = X5
                  | ~ no_right(X6)
                  | ~ part_of(X6,X0)
                  | ~ cnt(X6,X1,X2) ) )
          | ~ sP0(X0,X2,X1) ) )
      | ~ sP1(X0,X2,X1) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( ( sP0(X0,X1,X2)
          | ! [X3] :
              ( ~ no_right(X3)
              | ~ part_of(X3,X0)
              | ~ cnt(X3,X2,X1)
              | ? [X4] :
                  ( X3 != X4
                  & no_right(X4)
                  & part_of(X4,X0)
                  & cnt(X4,X2,X1) ) ) )
        & ( ? [X5] :
              ( no_right(X5)
              & part_of(X5,X0)
              & cnt(X5,X2,X1)
              & ! [X6] :
                  ( X6 = X5
                  | ~ no_right(X6)
                  | ~ part_of(X6,X0)
                  | ~ cnt(X6,X2,X1) ) )
          | ~ sP0(X0,X1,X2) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(rectify,[],[f33]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( ( sP0(X0,X1,X2)
          | ! [X3] :
              ( ~ no_right(X3)
              | ~ part_of(X3,X0)
              | ~ cnt(X3,X2,X1)
              | ( sK2(X0,X1,X2,X3) != X3
                & no_right(sK2(X0,X1,X2,X3))
                & part_of(sK2(X0,X1,X2,X3),X0)
                & cnt(sK2(X0,X1,X2,X3),X2,X1) ) ) )
        & ( ( no_right(sK3(X0,X1,X2))
            & part_of(sK3(X0,X1,X2),X0)
            & cnt(sK3(X0,X1,X2),X2,X1)
            & ! [X6] :
                ( sK3(X0,X1,X2) = X6
                | ~ no_right(X6)
                | ~ part_of(X6,X0)
                | ~ cnt(X6,X2,X1) ) )
          | ~ sP0(X0,X1,X2) ) )
      | ~ sP1(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0,X1,X2,X3)),skolemize(X5,sK3(X0,X1,X2))],[f34]) ).

fof(f36,plain,
    ! [X0,X2,X1] :
      ( ( sP0(X0,X2,X1)
        | ! [X3] :
            ( ~ permission(X3)
            | ~ part_of(X3,X0)
            | ~ cnt(X3,X1,X2)
            | ? [X4] :
                ( X3 != X4
                & permission(X4)
                & part_of(X4,X0)
                & cnt(X4,X1,X2) ) ) )
      & ( ? [X3] :
            ( permission(X3)
            & part_of(X3,X0)
            & cnt(X3,X1,X2)
            & ! [X4] :
                ( X4 = X3
                | ~ permission(X4)
                | ~ part_of(X4,X0)
                | ~ cnt(X4,X1,X2) ) )
        | ~ sP0(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ! [X3] :
            ( ~ permission(X3)
            | ~ part_of(X3,X0)
            | ~ cnt(X3,X2,X1)
            | ? [X4] :
                ( X3 != X4
                & permission(X4)
                & part_of(X4,X0)
                & cnt(X4,X2,X1) ) ) )
      & ( ? [X5] :
            ( permission(X5)
            & part_of(X5,X0)
            & cnt(X5,X2,X1)
            & ! [X6] :
                ( X5 = X6
                | ~ permission(X6)
                | ~ part_of(X6,X0)
                | ~ cnt(X6,X2,X1) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f36]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ! [X3] :
            ( ~ permission(X3)
            | ~ part_of(X3,X0)
            | ~ cnt(X3,X2,X1)
            | ( sK4(X0,X1,X2,X3) != X3
              & permission(sK4(X0,X1,X2,X3))
              & part_of(sK4(X0,X1,X2,X3),X0)
              & cnt(sK4(X0,X1,X2,X3),X2,X1) ) ) )
      & ( ( permission(sK5(X0,X1,X2))
          & part_of(sK5(X0,X1,X2),X0)
          & cnt(sK5(X0,X1,X2),X2,X1)
          & ! [X6] :
              ( sK5(X0,X1,X2) = X6
              | ~ permission(X6)
              | ~ part_of(X6,X0)
              | ~ cnt(X6,X2,X1) ) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X4,sK4(X0,X1,X2,X3)),skolemize(X5,sK5(X0,X1,X2))],[f37]) ).

fof(f39,plain,
    ! [X2,X0,X1,X6] :
      ( ~ sP1(X0,X1,X2)
      | ~ no_right(X6)
      | ~ part_of(X6,X0)
      | ~ cnt(X6,X2,X1)
      | ~ sP0(X0,X1,X2)
      | sK3(X0,X1,X2) = X6 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f51,plain,
    ! [X2,X3,X0,X1] :
      ( cnt(sK4(X0,X1,X2,X3),X2,X1)
      | ~ permission(X3)
      | ~ part_of(X3,X0)
      | ~ cnt(X3,X2,X1)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f52,plain,
    ! [X2,X3,X0,X1] :
      ( part_of(sK4(X0,X1,X2,X3),X0)
      | ~ permission(X3)
      | ~ part_of(X3,X0)
      | ~ cnt(X3,X2,X1)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] :
      ( permission(sK4(X0,X1,X2,X3))
      | ~ permission(X3)
      | ~ part_of(X3,X0)
      | ~ cnt(X3,X2,X1)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( sK4(X0,X1,X2,X3) != X3
      | ~ permission(X3)
      | ~ part_of(X3,X0)
      | ~ cnt(X3,X2,X1)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X2,X1)
      | ~ odrl_rel(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f56,plain,
    odrl_rel(rho1),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    permission(l),
    inference(cnf_transformation,[],[f7]) ).

fof(f58,plain,
    no_right(n1),
    inference(cnf_transformation,[],[f8]) ).

fof(f59,plain,
    no_right(n2),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    part_of(l,rho1),
    inference(cnf_transformation,[],[f10]) ).

fof(f61,plain,
    part_of(n1,rho1),
    inference(cnf_transformation,[],[f11]) ).

fof(f62,plain,
    part_of(n2,rho1),
    inference(cnf_transformation,[],[f12]) ).

fof(f63,plain,
    cnt(l,some_action,some_target),
    inference(cnf_transformation,[],[f13]) ).

fof(f64,plain,
    cnt(n1,some_action,some_target),
    inference(cnf_transformation,[],[f14]) ).

fof(f65,plain,
    cnt(n2,some_action,some_target),
    inference(cnf_transformation,[],[f15]) ).

fof(f66,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f18]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ cnt(X0,some_action,some_target)
      | ~ permission(X0)
      | ~ part_of(X0,rho1)
      | l = X0 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f97,definition,
    ( spl6_5
  <=> sP0(rho1,some_target,some_action) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f98,plain,
    ( sP0(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f99,plain,
    ( ~ sP0(rho1,some_target,some_action)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ permission(X0)
      | ~ part_of(X0,X1)
      | ~ cnt(X0,some_action,some_target)
      | sP0(X1,some_target,some_action)
      | ~ permission(sK4(X1,some_target,some_action,X0))
      | ~ part_of(sK4(X1,some_target,some_action,X0),rho1)
      | l = sK4(X1,some_target,some_action,X0) ),
    inference(resolution,[],[f51,f67]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ part_of(sK4(X1,some_target,some_action,X0),rho1)
      | ~ part_of(X0,X1)
      | ~ cnt(X0,some_action,some_target)
      | sP0(X1,some_target,some_action)
      | ~ permission(X0)
      | l = sK4(X1,some_target,some_action,X0) ),
    inference(forward_subsumption_resolution,[],[f105,f53]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X1,X3,X2)
      | ~ part_of(X0,X1)
      | ~ cnt(X0,X2,X3)
      | ~ no_right(X0)
      | sK3(X1,X3,X2) = X0
      | ~ odrl_rel(X1) ),
    inference(resolution,[],[f39,f55]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ part_of(X0,rho1)
      | ~ cnt(X0,some_action,some_target)
      | sP0(rho1,some_target,some_action)
      | ~ permission(X0)
      | l = sK4(rho1,some_target,some_action,X0)
      | ~ permission(X0)
      | ~ part_of(X0,rho1)
      | ~ cnt(X0,some_action,some_target)
      | sP0(rho1,some_target,some_action) ),
    inference(resolution,[],[f106,f52]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ part_of(X0,rho1)
      | ~ cnt(X0,some_action,some_target)
      | sP0(rho1,some_target,some_action)
      | ~ permission(X0)
      | l = sK4(rho1,some_target,some_action,X0) ),
    inference(duplicate_literal_removal,[],[f111]) ).

fof(f149,definition,
    ( spl6_11
  <=> ! [X0] :
        ( ~ part_of(X0,rho1)
        | l = sK4(rho1,some_target,some_action,X0)
        | ~ permission(X0)
        | ~ cnt(X0,some_action,some_target) ) ),
    introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).

fof(f150,plain,
    ( ! [X0] :
        ( ~ cnt(X0,some_action,some_target)
        | l = sK4(rho1,some_target,some_action,X0)
        | ~ permission(X0)
        | ~ part_of(X0,rho1) )
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f151,plain,
    ( spl6_5
    | spl6_11 ),
    inference(avatar_split_clause,[],[f112,f149,f97]) ).

fof(f153,plain,
    ( ! [X0] :
        ( ~ part_of(X0,rho1)
        | ~ cnt(X0,some_action,some_target)
        | ~ no_right(X0)
        | sK3(rho1,some_target,some_action) = X0
        | ~ odrl_rel(rho1) )
    | ~ spl6_5 ),
    inference(resolution,[],[f98,f107]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ cnt(X0,some_action,some_target)
        | ~ part_of(X0,rho1)
        | ~ no_right(X0)
        | sK3(rho1,some_target,some_action) = X0 )
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f153,f56]) ).

fof(f163,plain,
    ( ~ part_of(n1,rho1)
    | ~ no_right(n1)
    | n1 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(resolution,[],[f155,f64]) ).

fof(f164,plain,
    ( ~ part_of(n2,rho1)
    | ~ no_right(n2)
    | n2 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(resolution,[],[f155,f65]) ).

fof(f171,plain,
    ( ~ no_right(n2)
    | n2 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f164,f62]) ).

fof(f172,plain,
    ( ~ no_right(n1)
    | n1 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f163,f61]) ).

fof(f174,plain,
    ( n2 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f171,f59]) ).

fof(f175,plain,
    ( n1 = sK3(rho1,some_target,some_action)
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f172,f58]) ).

fof(f186,plain,
    ( n1 = n2
    | ~ spl6_5 ),
    inference(superposition,[],[f175,f174]) ).

fof(f195,plain,
    ( $false
    | ~ spl6_5 ),
    inference(forward_subsumption_resolution,[],[f186,f66]) ).

fof(f196,plain,
    ~ spl6_5,
    inference(avatar_contradiction_clause,[],[f195]) ).

fof(f201,plain,
    ( l = sK4(rho1,some_target,some_action,l)
    | ~ permission(l)
    | ~ part_of(l,rho1)
    | ~ spl6_11 ),
    inference(resolution,[],[f150,f63]) ).

fof(f210,plain,
    ( l = sK4(rho1,some_target,some_action,l)
    | ~ part_of(l,rho1)
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f201,f57]) ).

fof(f211,plain,
    ( l = sK4(rho1,some_target,some_action,l)
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f210,f60]) ).

fof(f213,plain,
    ( l != l
    | ~ permission(l)
    | ~ part_of(l,rho1)
    | ~ cnt(l,some_action,some_target)
    | sP0(rho1,some_target,some_action)
    | ~ spl6_11 ),
    inference(superposition,[],[f54,f211]) ).

fof(f216,plain,
    ( ~ permission(l)
    | ~ part_of(l,rho1)
    | ~ cnt(l,some_action,some_target)
    | sP0(rho1,some_target,some_action)
    | ~ spl6_11 ),
    inference(trivial_inequality_removal,[],[f213]) ).

fof(f217,plain,
    ( ~ part_of(l,rho1)
    | ~ cnt(l,some_action,some_target)
    | sP0(rho1,some_target,some_action)
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f216,f57]) ).

fof(f218,plain,
    ( ~ cnt(l,some_action,some_target)
    | sP0(rho1,some_target,some_action)
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f217,f60]) ).

fof(f219,plain,
    ( sP0(rho1,some_target,some_action)
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f218,f63]) ).

fof(f220,plain,
    ( $false
    | spl6_5
    | ~ spl6_11 ),
    inference(forward_subsumption_resolution,[],[f219,f99]) ).

fof(f221,plain,
    ( spl6_5
    | ~ spl6_11 ),
    inference(avatar_contradiction_clause,[],[f220]) ).

cnf(s7,plain,
    ( spl6_5
    | spl6_11 ),
    inference(sat_conversion,[],[f151]) ).

cnf(s11,plain,
    ~ spl6_5,
    inference(sat_conversion,[],[f196]) ).

cnf(s13,plain,
    ( spl6_5
    | ~ spl6_11 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s14,plain,
    ~ spl6_11,
    inference(rat,[],[s13,s11]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s7,s14,s11]) ).

fof(f222,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 17:39:32 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 0.11/0.45  % (1054088)Will run a generic schedule for satisfiability detection.
% 0.11/0.45  % (1054095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=787323138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45  % (1054094)% WARNING: option uhcvi not known.
% 0.11/0.45  % (1054093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1759189100_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45  % (1054099)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1039114878:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45  % (1054096)dis+10_1_sil=32000:sp=arity:random_seed=2018116125:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45  % (1054097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3421794413:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45  % (1054098)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3186065826:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45  % TRYING [1]
% 0.11/0.45  % (1054094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2302904529:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45  % TRYING [2]
% 0.11/0.45  % TRYING [3]
% 0.11/0.45  % TRYING [4]
% 0.11/0.45  % (1054096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1054088-1054096"...
% 0.11/0.45  % TRYING [5]
% 0.11/0.45  % (1054098) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1054088-1054098"...
% 0.11/0.45  % (1054096)...printing done.
% 0.11/0.45  % (1054098)...printing done.
% 0.11/0.45  % (1054096)Refutation found. Thanks to Tanya!
% 0.11/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45  % (1054096)------------------------------
% 0.11/0.45  % (1054096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45  % (1054096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45  % (1054096)CaDiCaL version: 2.1.3
% 0.11/0.45  % (1054096)Termination reason: Refutation
% 0.11/0.45  % (1054096)Time elapsed: 0.007 s
% 0.11/0.45  % (1054096)Peak memory usage: 12 MB
% 0.11/0.45  % (1054096)Instructions burned: 9 (million)
% 0.11/0.45  % (1054088)Success in time 0.045 s
% 0.11/0.45  % Vampire exiting
%------------------------------------------------------------------------------