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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 01:00:46 PM UTC 2026

% Result   : Theorem 0.16s 0.46s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  19 unt;   3 def)
%            Number of atoms       :  277 (  38 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  325 ( 125   ~; 126   |;  57   &)
%                                         (  14 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-2 aty)
%            Number of variables   :  114 (   0 sgn  98   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f6,axiom,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X2,X3) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f7,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdfs_domain,uri_ex_p,X0)
      & iext(uri_owl_oneOf,X0,X2)
      & iext(uri_rdf_first,X2,uri_ex_w)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdfs_range,uri_ex_p,X1)
      & iext(uri_owl_oneOf,X1,X3)
      & iext(uri_rdf_first,X3,uri_ex_u)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).

fof(f10,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(flattening,[],[f8]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(uri_rdfs_domain,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f16,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X2,X3) ) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(rectify,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( sK0(X0,X2) != X2
              | ~ icext(X0,sK0(X0,X2)) )
            & ( sK0(X0,X2) = X2
              | icext(X0,sK0(X0,X2)) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f21]) ).

fof(f23,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f24,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X1,X3)
              | ~ iext(X0,X2,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X1,X3)
            & iext(X0,X2,X3) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( sK1(X0) != sK2(X0)
          & iext(X0,sK1(X0),sK3(X0))
          & iext(X0,sK2(X0),sK3(X0)) ) )
      & ( ( ip(X0)
          & ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X4,X6)
              | ~ iext(X0,X5,X6) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f25]) ).

fof(f27,plain,
    ( iext(uri_rdfs_domain,uri_ex_p,sK4)
    & iext(uri_owl_oneOf,sK4,sK6)
    & iext(uri_rdf_first,sK6,uri_ex_w)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil)
    & iext(uri_rdfs_range,uri_ex_p,sK5)
    & iext(uri_owl_oneOf,sK5,sK7)
    & iext(uri_rdf_first,sK7,uri_ex_u)
    & iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f9]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(X1,X2)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f33,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f34,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | ~ icext(X0,X4)
      | X2 = X4
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f41,plain,
    ! [X0] :
      ( iext(X0,sK2(X0),sK3(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    ! [X0] :
      ( iext(X0,sK1(X0),sK3(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    ! [X0] :
      ( sK1(X0) != sK2(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f10]) ).

fof(f49,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f27]) ).

fof(f50,plain,
    iext(uri_rdf_first,sK6,uri_ex_w),
    inference(cnf_transformation,[],[f27]) ).

fof(f51,plain,
    iext(uri_owl_oneOf,sK4,sK6),
    inference(cnf_transformation,[],[f27]) ).

fof(f52,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK4),
    inference(cnf_transformation,[],[f27]) ).

fof(f56,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(resolution,[],[f31,f44]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ icext(uri_rdf_Property,X0)
      | ip(X0) ),
    inference(resolution,[],[f31,f28]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | icext(uri_rdf_Property,X0) ),
    inference(resolution,[],[f32,f33]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | icext(sK4,X0) ),
    inference(resolution,[],[f32,f52]) ).

fof(f63,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference(resolution,[],[f60,f52]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ icext(sK4,X0)
      | X0 = X1
      | ~ iext(uri_rdf_first,sK6,X1)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
    inference(resolution,[],[f34,f51]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK6,X1)
      | X0 = X1
      | ~ icext(sK4,X0) ),
    inference(forward_subsumption_resolution,[],[f228,f49]) ).

fof(f253,plain,
    ( icext(sK4,sK2(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f61,f41]) ).

fof(f254,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[],[f61,f42]) ).

fof(f255,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f254,f56]) ).

fof(f256,plain,
    ( icext(sK4,sK2(uri_ex_p))
    | ~ ip(uri_ex_p) ),
    inference(forward_subsumption_resolution,[],[f253,f56]) ).

fof(f258,definition,
    ( spl8_35
  <=> ip(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[spl8_35])],[avatar_definition]) ).

fof(f259,plain,
    ( ip(uri_ex_p)
    | ~ spl8_35 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f262,definition,
    ( spl8_36
  <=> icext(sK4,sK1(uri_ex_p)) ),
    introduced(definition,[new_symbols(definition,[spl8_36])],[avatar_definition]) ).

fof(f264,plain,
    ( icext(sK4,sK1(uri_ex_p))
    | ~ spl8_36 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f265,plain,
    ( ~ spl8_35
    | spl8_36 ),
    inference(avatar_split_clause,[],[f255,f262,f258]) ).

fof(f267,definition,
    ( spl8_37
  <=> icext(sK4,sK2(uri_ex_p)) ),
    introduced(definition,[new_symbols(definition,[spl8_37])],[avatar_definition]) ).

fof(f269,plain,
    ( icext(sK4,sK2(uri_ex_p))
    | ~ spl8_37 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f270,plain,
    ( ~ spl8_35
    | spl8_37 ),
    inference(avatar_split_clause,[],[f256,f267,f258]) ).

fof(f272,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f63,f57]) ).

fof(f275,plain,
    spl8_35,
    inference(avatar_split_clause,[],[f272,f258]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ icext(sK4,X0)
      | uri_ex_w = X0 ),
    inference(resolution,[],[f231,f50]) ).

fof(f317,plain,
    ( uri_ex_w = sK1(uri_ex_p)
    | ~ spl8_36 ),
    inference(resolution,[],[f279,f264]) ).

fof(f318,plain,
    ( uri_ex_w = sK2(uri_ex_p)
    | ~ spl8_37 ),
    inference(resolution,[],[f279,f269]) ).

fof(f349,plain,
    ( uri_ex_w != sK1(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_37 ),
    inference(superposition,[],[f43,f318]) ).

fof(f350,plain,
    ( ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_36
    | ~ spl8_37 ),
    inference(forward_subsumption_resolution,[],[f349,f317]) ).

fof(f352,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl8_35
    | ~ spl8_36
    | ~ spl8_37 ),
    inference(forward_subsumption_resolution,[],[f350,f259]) ).

fof(f354,plain,
    ( $false
    | ~ spl8_35
    | ~ spl8_36
    | ~ spl8_37 ),
    inference(forward_subsumption_resolution,[],[f352,f56]) ).

fof(f355,plain,
    ( ~ spl8_35
    | ~ spl8_36
    | ~ spl8_37 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

cnf(s26,plain,
    ( ~ spl8_35
    | spl8_36 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s27,plain,
    ( ~ spl8_35
    | spl8_37 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s29,plain,
    spl8_35,
    inference(sat_conversion,[],[f275]) ).

cnf(s35,plain,
    ( ~ spl8_35
    | ~ spl8_36
    | ~ spl8_37 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s36,plain,
    spl8_37,
    inference(rat,[],[s27,s29]) ).

cnf(s37,plain,
    ~ spl8_36,
    inference(rat,[],[s35,s29,s36]) ).

cnf(s38,plain,
    $false,
    inference(rat,[],[s26,s37,s29]) ).

fof(f356,plain,
    $false,
    inference(avatar_sat_refutation,[],[s38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n001.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 07:11:47 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46  % (177676)Will run a generic schedule for satisfiability detection.
% 0.16/0.46  % (177684)dis+10_1_sil=32000:sp=arity:random_seed=877870228:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46  % (177682)% WARNING: option uhcvi not known.
% 0.16/0.46  % (177684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-177676-177684"...
% 0.16/0.46  % (177684)...printing done.
% 0.16/0.46  % (177684)Refutation found. Thanks to Tanya!
% 0.16/0.46  % SZS status Theorem for theBenchmark
% 0.16/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (177684)------------------------------
% 0.16/0.47  % (177684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47  % (177684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47  % (177684)CaDiCaL version: 2.1.3
% 0.16/0.47  % (177684)Termination reason: Refutation
% 0.16/0.47  % (177684)Time elapsed: 0.004 s
% 0.16/0.47  % (177684)Peak memory usage: 12 MB
% 0.16/0.47  % (177684)Instructions burned: 8 (million)
% 0.16/0.47  % (177676)Success in time 0.041 s
% 0.16/0.47  % Vampire exiting
%------------------------------------------------------------------------------