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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC382+1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:05:48 PM UTC 2026

% Result   : Theorem 7.32s 1.32s
% Output   : Refutation 7.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  138 (  22 unt;   8 def)
%            Number of atoms       :  436 (  80 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  502 ( 204   ~; 220   |;  38   &)
%                                         (  14 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn  80   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ( ( ~ neq(X1,nil)
                        | ? [X4] :
                            ( ssList(X4)
                            & X2 != X4
                            & ? [X5] :
                                ( ssItem(X5)
                                & cons(X5,nil) = X4
                                & hd(X3) = X5
                                & neq(nil,X3) ) )
                        | ( singletonP(X0)
                          & segmentP(X1,X0) ) )
                      & ( ~ neq(X1,nil)
                        | neq(X3,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ( ( ~ neq(X1,nil)
                          | ? [X4] :
                              ( ssList(X4)
                              & X2 != X4
                              & ? [X5] :
                                  ( ssItem(X5)
                                  & cons(X5,nil) = X4
                                  & hd(X3) = X5
                                  & neq(nil,X3) ) )
                          | ( singletonP(X0)
                            & segmentP(X1,X0) ) )
                        & ( ~ neq(X1,nil)
                          | neq(X3,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

fof(f129,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f130,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f129]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f134,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f192,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | X2 = X4
                          | ! [X5] :
                              ( ~ ssItem(X5)
                              | cons(X5,nil) != X4
                              | hd(X3) != X5
                              | ~ neq(nil,X3) ) )
                      & ( ~ singletonP(X0)
                        | ~ segmentP(X1,X0) ) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | X2 = X4
                          | ! [X5] :
                              ( ~ ssItem(X5)
                              | cons(X5,nil) != X4
                              | hd(X3) != X5
                              | ~ neq(nil,X3) ) )
                      & ( ~ singletonP(X0)
                        | ~ segmentP(X1,X0) ) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | singletonP(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f306,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f314,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f316,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f320,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f412,plain,
    ! [X4,X5] :
      ( ~ neq(sK50,nil)
      | ~ neq(nil,sK50)
      | hd(sK50) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK49 = X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    ( ~ neq(sK50,nil)
    | ~ segmentP(sK48,sK47)
    | ~ singletonP(sK47) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    neq(sK48,nil),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f426,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f415,f419]) ).

fof(f428,plain,
    ( ~ neq(sK50,nil)
    | ~ segmentP(sK50,sK49)
    | ~ singletonP(sK49) ),
    inference(definition_unfolding,[],[f413,f419,f418,f418]) ).

fof(f432,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(equality_resolution,[],[f234]) ).

fof(f435,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f241]) ).

fof(f444,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f304]) ).

fof(f455,plain,
    ! [X4] :
      ( ~ neq(sK50,nil)
      | ~ neq(nil,sK50)
      | cons(hd(sK50),nil) != X4
      | ~ ssItem(hd(sK50))
      | sK49 = X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f412]) ).

fof(f456,plain,
    ( ~ neq(sK50,nil)
    | ~ neq(nil,sK50)
    | ~ ssItem(hd(sK50))
    | sK49 = cons(hd(sK50),nil)
    | ~ ssList(cons(hd(sK50),nil)) ),
    inference(equality_resolution,[],[f455]) ).

fof(f463,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f444]) ).

fof(f466,plain,
    ( ~ segmentP(sK50,sK49)
    | ~ singletonP(sK49) ),
    inference(forward_subsumption_resolution,[],[f428,f426]) ).

fof(f468,definition,
    ( spl51_1
  <=> singletonP(sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ singletonP(sK49)
    | spl51_1 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f472,definition,
    ( spl51_2
  <=> segmentP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f474,plain,
    ( ~ segmentP(sK50,sK49)
    | spl51_2 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f475,plain,
    ( ~ spl51_1
    | ~ spl51_2 ),
    inference(avatar_split_clause,[],[f466,f472,f468]) ).

fof(f476,plain,
    ( ~ neq(nil,sK50)
    | ~ ssItem(hd(sK50))
    | sK49 = cons(hd(sK50),nil)
    | ~ ssList(cons(hd(sK50),nil)) ),
    inference(forward_subsumption_resolution,[],[f456,f426]) ).

fof(f478,definition,
    ( spl51_3
  <=> ssList(cons(hd(sK50),nil)) ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ ssList(cons(hd(sK50),nil))
    | spl51_3 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f482,definition,
    ( spl51_4
  <=> sK49 = cons(hd(sK50),nil) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f484,plain,
    ( sK49 = cons(hd(sK50),nil)
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f486,definition,
    ( spl51_5
  <=> ssItem(hd(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).

fof(f487,plain,
    ( ssItem(hd(sK50))
    | ~ spl51_5 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f488,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_5 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f490,definition,
    ( spl51_6
  <=> neq(nil,sK50) ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ neq(nil,sK50)
    | spl51_6 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,plain,
    ( ~ spl51_3
    | spl51_4
    | ~ spl51_5
    | ~ spl51_6 ),
    inference(avatar_split_clause,[],[f476,f490,f486,f482,f478]) ).

fof(f515,plain,
    sK49 = app(nil,sK49),
    inference(resolution,[],[f320,f420]) ).

fof(f540,plain,
    ( ~ ssItem(hd(sK50))
    | ~ ssList(nil)
    | spl51_3 ),
    inference(resolution,[],[f305,f480]) ).

fof(f543,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_3 ),
    inference(forward_subsumption_resolution,[],[f540,f306]) ).

fof(f544,plain,
    ( ~ spl51_5
    | spl51_3 ),
    inference(avatar_split_clause,[],[f543,f478,f486]) ).

fof(f547,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl51_5 ),
    inference(resolution,[],[f314,f488]) ).

fof(f548,plain,
    ( nil = sK50
    | spl51_5 ),
    inference(forward_subsumption_resolution,[],[f547,f417]) ).

fof(f550,plain,
    ( neq(nil,nil)
    | spl51_5 ),
    inference(superposition,[],[f426,f548]) ).

fof(f558,plain,
    ( ~ ssList(nil)
    | spl51_5 ),
    inference(resolution,[],[f550,f463]) ).

fof(f559,plain,
    ( $false
    | spl51_5 ),
    inference(forward_subsumption_resolution,[],[f558,f306]) ).

fof(f560,plain,
    spl51_5,
    inference(avatar_contradiction_clause,[],[f559]) ).

fof(f670,plain,
    ( ~ ssList(sK50)
    | nil = sK50
    | ~ ssList(nil)
    | spl51_6 ),
    inference(resolution,[],[f303,f492]) ).

fof(f673,plain,
    ( nil = sK50
    | ~ ssList(nil)
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f670,f417]) ).

fof(f674,plain,
    ( nil = sK50
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f673,f306]) ).

fof(f676,plain,
    ( neq(nil,nil)
    | spl51_6 ),
    inference(superposition,[],[f426,f674]) ).

fof(f737,plain,
    ( ~ ssList(nil)
    | spl51_6 ),
    inference(resolution,[],[f676,f463]) ).

fof(f738,plain,
    ( $false
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f737,f306]) ).

fof(f739,plain,
    spl51_6,
    inference(avatar_contradiction_clause,[],[f738]) ).

fof(f892,plain,
    ( singletonP(sK49)
    | ~ ssItem(hd(sK50))
    | ~ ssList(sK49)
    | ~ spl51_4 ),
    inference(superposition,[],[f432,f484]) ).

fof(f894,plain,
    ( ~ ssItem(hd(sK50))
    | ~ ssList(sK49)
    | spl51_1
    | ~ spl51_4 ),
    inference(forward_subsumption_resolution,[],[f892,f470]) ).

fof(f895,plain,
    ( ~ ssList(sK49)
    | spl51_1
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_subsumption_resolution,[],[f894,f487]) ).

fof(f896,plain,
    ( $false
    | spl51_1
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_subsumption_resolution,[],[f895,f420]) ).

fof(f897,plain,
    ( spl51_1
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(avatar_contradiction_clause,[],[f896]) ).

fof(f1053,plain,
    ( nil = sK50
    | sK50 = cons(hd(sK50),tl(sK50)) ),
    inference(resolution,[],[f389,f417]) ).

fof(f1169,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) )
    | ~ spl51_5 ),
    inference(resolution,[],[f392,f487]) ).

fof(f1191,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sK50),X0) = app(sK49,X0) )
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_demodulation,[],[f1169,f484]) ).

fof(f1204,definition,
    ( spl51_10
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_10])],[avatar_definition]) ).

fof(f1205,plain,
    ( nil != sK50
    | spl51_10 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1206,plain,
    ( nil = sK50
    | ~ spl51_10 ),
    inference(avatar_component_clause,[],[f1204]) ).

fof(f1226,plain,
    ( neq(nil,nil)
    | ~ spl51_10 ),
    inference(superposition,[],[f426,f1206]) ).

fof(f1242,plain,
    ( ~ ssList(nil)
    | ~ spl51_10 ),
    inference(resolution,[],[f1226,f463]) ).

fof(f1243,plain,
    ( $false
    | ~ spl51_10 ),
    inference(forward_subsumption_resolution,[],[f1242,f306]) ).

fof(f1244,plain,
    ~ spl51_10,
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f2503,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(app(sK49,X0)) ),
    inference(superposition,[],[f435,f515]) ).

fof(f2516,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f2503,f318]) ).

fof(f2522,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f2516,f420]) ).

fof(f2525,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f2522,f306]) ).

fof(f2976,plain,
    ( sK50 = cons(hd(sK50),tl(sK50))
    | spl51_10 ),
    inference(forward_subsumption_resolution,[],[f1053,f1205]) ).

fof(f3084,definition,
    ( spl51_13
  <=> ssList(tl(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_13])],[avatar_definition]) ).

fof(f3085,plain,
    ( ssList(tl(sK50))
    | ~ spl51_13 ),
    inference(avatar_component_clause,[],[f3084]) ).

fof(f3086,plain,
    ( ~ ssList(tl(sK50))
    | spl51_13 ),
    inference(avatar_component_clause,[],[f3084]) ).

fof(f3133,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl51_13 ),
    inference(resolution,[],[f3086,f316]) ).

fof(f3134,plain,
    ( ~ ssList(sK50)
    | spl51_10
    | spl51_13 ),
    inference(forward_subsumption_resolution,[],[f3133,f1205]) ).

fof(f3135,plain,
    ( $false
    | spl51_10
    | spl51_13 ),
    inference(forward_subsumption_resolution,[],[f3134,f417]) ).

fof(f3136,plain,
    ( spl51_10
    | spl51_13 ),
    inference(avatar_contradiction_clause,[],[f3135]) ).

fof(f3160,plain,
    ( cons(hd(sK50),tl(sK50)) = app(sK49,tl(sK50))
    | ~ spl51_4
    | ~ spl51_5
    | ~ spl51_13 ),
    inference(resolution,[],[f3085,f1191]) ).

fof(f3167,plain,
    ( sK50 = app(sK49,tl(sK50))
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(forward_demodulation,[],[f3160,f2976]) ).

fof(f3374,plain,
    ( segmentP(sK50,sK49)
    | ~ ssList(tl(sK50))
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(superposition,[],[f2525,f3167]) ).

fof(f3403,plain,
    ( ~ ssList(tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(forward_subsumption_resolution,[],[f3374,f474]) ).

fof(f3416,plain,
    ( $false
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(forward_subsumption_resolution,[],[f3403,f3085]) ).

fof(f3417,plain,
    ( spl51_2
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(avatar_contradiction_clause,[],[f3416]) ).

cnf(s1,plain,
    ( ~ spl51_1
    | ~ spl51_2 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s2,plain,
    ( ~ spl51_3
    | spl51_4
    | ~ spl51_5
    | ~ spl51_6 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s3,plain,
    ( spl51_3
    | ~ spl51_5 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s4,plain,
    spl51_5,
    inference(sat_conversion,[],[f560]) ).

cnf(s5,plain,
    spl51_6,
    inference(sat_conversion,[],[f739]) ).

cnf(s6,plain,
    ( spl51_1
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s10,plain,
    ~ spl51_10,
    inference(sat_conversion,[],[f1244]) ).

cnf(s14,plain,
    ( spl51_10
    | spl51_13 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s15,plain,
    ( spl51_2
    | ~ spl51_4
    | ~ spl51_5
    | spl51_10
    | ~ spl51_13 ),
    inference(sat_conversion,[],[f3417]) ).

cnf(s16,plain,
    spl51_13,
    inference(rat,[],[s14,s10]) ).

cnf(s18,plain,
    spl51_3,
    inference(rat,[],[s3,s4]) ).

cnf(s19,plain,
    spl51_4,
    inference(rat,[],[s2,s5,s4,s18]) ).

cnf(s20,plain,
    spl51_2,
    inference(rat,[],[s15,s16,s10,s4,s19]) ).

cnf(s23,plain,
    spl51_1,
    inference(rat,[],[s6,s4,s19]) ).

cnf(s27,plain,
    $false,
    inference(rat,[],[s1,s20,s23]) ).

fof(f3418,plain,
    $false,
    inference(avatar_sat_refutation,[],[s27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC382+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17  % Computer : n001.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 09:28:47 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  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
% 7.32/1.32  % (239871)Will run a generic schedule for satisfiability detection.
% 7.32/1.32  % (239877)% WARNING: option uhcvi not known.
% 7.32/1.32  % (239879)dis+10_1_sil=32000:sp=arity:random_seed=353365482:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.32/1.32  % (239876)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1348103706_2999 on theBenchmark for (2999ds/0Mi)
% 7.32/1.32  % (239877)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1135903679:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.32/1.32  % (239878)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4280827320:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.32/1.32  % (239880)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2724757825:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.32/1.32  % (239881)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3217988979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.32/1.32  % (239882)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=19788754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.32/1.32  % TRYING [1]
% 7.32/1.32  % TRYING [2]
% 7.32/1.32  % TRYING [3]
% 7.32/1.32  % TRYING [4]
% 7.32/1.32  % (239881)Instruction limit reached! 
% 7.32/1.32  % (239881)------------------------------
% 7.32/1.32  % (239881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239881)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239881)Termination reason: Instruction limit
% 7.32/1.32  % (239881)Termination phase: Saturation
% 7.32/1.32  % (239881)Time elapsed: 0.041 s
% 7.32/1.32  % (239881)Peak memory usage: 14 MB
% 7.32/1.32  % (239881)Instructions burned: 132 (million)
% 7.32/1.32  % (239890)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=747811476:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.32/1.32  % TRYING [1]
% 7.32/1.32  % (239879)Instruction limit reached! 
% 7.32/1.32  % (239879)------------------------------
% 7.32/1.32  % (239879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239879)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239879)Termination reason: Instruction limit
% 7.32/1.32  % (239879)Termination phase: Saturation
% 7.32/1.32  % (239879)Time elapsed: 0.061 s
% 7.32/1.32  % (239879)Peak memory usage: 13 MB
% 7.32/1.32  % (239879)Instructions burned: 104 (million)
% 7.32/1.32  % TRYING [2]
% 7.32/1.32  % TRYING [3]
% 7.32/1.32  % (239880)Instruction limit reached! 
% 7.32/1.32  % (239880)------------------------------
% 7.32/1.32  % (239880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239880)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239880)Termination reason: Instruction limit
% 7.32/1.32  % (239880)Termination phase: Saturation
% 7.32/1.32  % (239880)Time elapsed: 0.070 s
% 7.32/1.32  % (239880)Peak memory usage: 13 MB
% 7.32/1.32  % (239880)Instructions burned: 116 (million)
% 7.32/1.32  % TRYING [4]
% 7.32/1.32  % (239892)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2875054172:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.32/1.32  % TRYING [5]
% 7.32/1.32  % (239893)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=899865258:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.32/1.32  % TRYING [5]
% 7.32/1.32  % (239882)Instruction limit reached! 
% 7.32/1.32  % (239882)------------------------------
% 7.32/1.32  % (239882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239882)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239882)Termination reason: Instruction limit
% 7.32/1.32  % (239882)Termination phase: Saturation
% 7.32/1.32  % (239882)Time elapsed: 0.106 s
% 7.32/1.32  % (239882)Peak memory usage: 15 MB
% 7.32/1.32  % (239882)Instructions burned: 160 (million)
% 7.32/1.32  % (239896)ott-21_1_sil=16000:fs=off:random_seed=3288116337:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.32/1.32  % (239892)Instruction limit reached! 
% 7.32/1.32  % (239892)------------------------------
% 7.32/1.32  % (239892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239892)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239892)Termination reason: Instruction limit
% 7.32/1.32  % (239892)Termination phase: Saturation
% 7.32/1.32  % (239892)Time elapsed: 0.070 s
% 7.32/1.32  % (239892)Peak memory usage: 13 MB
% 7.32/1.32  % (239892)Instructions burned: 133 (million)
% 7.32/1.32  % (239898)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2917731295:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.32/1.32  % TRYING [6]
% 7.32/1.32  % TRYING [6]
% 7.32/1.32  % (239890)Instruction limit reached! 
% 7.32/1.32  % (239890)------------------------------
% 7.32/1.32  % (239890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239890)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239890)Termination reason: Instruction limit
% 7.32/1.32  % (239890)Termination phase: Finite model building constraint generation
% 7.32/1.32  % (239890)Time elapsed: 0.157 s
% 7.32/1.32  % (239890)Peak memory usage: 28 MB
% 7.32/1.32  % (239890)Instructions burned: 721 (million)
% 7.32/1.32  % (239896)Instruction limit reached! 
% 7.32/1.32  % (239896)------------------------------
% 7.32/1.32  % (239896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239896)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239896)Termination reason: Instruction limit
% 7.32/1.32  % (239896)Termination phase: Saturation
% 7.32/1.32  % (239896)Time elapsed: 0.092 s
% 7.32/1.32  % (239896)Peak memory usage: 13 MB
% 7.32/1.32  % (239896)Instructions burned: 182 (million)
% 7.32/1.32  % (239900)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=320936233:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.32/1.32  % TRYING [1]
% 7.32/1.32  % TRYING [2]
% 7.32/1.32  % TRYING [3]
% 7.32/1.32  % (239901)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1719705186:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.32/1.32  % TRYING [4]
% 7.32/1.32  % TRYING [5]
% 7.32/1.32  % (239900)Instruction limit reached! 
% 7.32/1.32  % (239900)------------------------------
% 7.32/1.32  % (239900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239900)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239900)Termination reason: Instruction limit
% 7.32/1.32  % (239900)Termination phase: Finite model building SAT solving
% 7.32/1.32  % (239900)Time elapsed: 0.181 s
% 7.32/1.32  % (239900)Peak memory usage: 23 MB
% 7.32/1.32  % (239900)Instructions burned: 868 (million)
% 7.32/1.32  % (239904)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3123269491:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.32/1.32  % (239893)Instruction limit reached! 
% 7.32/1.32  % (239893)------------------------------
% 7.32/1.32  % (239893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239893)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239893)Termination reason: Instruction limit
% 7.32/1.32  % (239893)Termination phase: Saturation
% 7.32/1.32  % (239893)Time elapsed: 0.374 s
% 7.32/1.32  % (239893)Peak memory usage: 21 MB
% 7.32/1.32  % (239893)Instructions burned: 687 (million)
% 7.32/1.32  % TRYING [14]
% 7.32/1.32  % TRYING [7]
% 7.32/1.32  % (239906)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3327700656:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.32/1.32  % (239898)Instruction limit reached! 
% 7.32/1.32  % (239898)------------------------------
% 7.32/1.32  % (239898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239898)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239898)Termination reason: Instruction limit
% 7.32/1.32  % (239898)Termination phase: Saturation
% 7.32/1.32  % (239898)Time elapsed: 0.326 s
% 7.32/1.32  % (239898)Peak memory usage: 15 MB
% 7.32/1.32  % (239898)Instructions burned: 478 (million)
% 7.32/1.32  % (239908)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=334774307:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.32/1.32  % (239904)Instruction limit reached! 
% 7.32/1.32  % (239904)------------------------------
% 7.32/1.32  % (239904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239904)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239904)Termination reason: Instruction limit
% 7.32/1.32  % (239904)Termination phase: Finite model building constraint generation
% 7.32/1.32  % (239904)Time elapsed: 0.181 s
% 7.32/1.32  % (239904)Peak memory usage: 70 MB
% 7.32/1.32  % (239904)Instructions burned: 891 (million)
% 7.32/1.32  % (239910)fmb+10_1_sil=64000:random_seed=97876893:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.32/1.32  % TRYING [1]
% 7.32/1.32  % TRYING [2]
% 7.32/1.32  % TRYING [3]
% 7.32/1.32  % TRYING [4]
% 7.32/1.32  % TRYING [5]
% 7.32/1.32  % (239906)Instruction limit reached! 
% 7.32/1.32  % (239906)------------------------------
% 7.32/1.32  % (239906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239906)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239906)Termination reason: Instruction limit
% 7.32/1.32  % (239906)Termination phase: Saturation
% 7.32/1.32  % (239906)Time elapsed: 0.366 s
% 7.32/1.32  % (239906)Peak memory usage: 27 MB
% 7.32/1.32  % (239906)Instructions burned: 692 (million)
% 7.32/1.32  % (239912)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1304730802:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.32/1.32  % TRYING [6]
% 7.32/1.32  % TRYING [20]
% 7.32/1.32  % (239901)Instruction limit reached! 
% 7.32/1.32  % (239901)------------------------------
% 7.32/1.32  % (239901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239901)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239901)Termination reason: Instruction limit
% 7.32/1.32  % (239901)Termination phase: Saturation
% 7.32/1.32  % (239901)Time elapsed: 0.651 s
% 7.32/1.32  % (239901)Peak memory usage: 28 MB
% 7.32/1.32  % (239901)Instructions burned: 1180 (million)
% 7.32/1.32  % (239914)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1709023894:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.32/1.32  % TRYING [8]
% 7.32/1.32  % (239908)Instruction limit reached! 
% 7.32/1.32  % (239908)------------------------------
% 7.32/1.32  % (239908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239908)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239908)Termination reason: Instruction limit
% 7.32/1.32  % (239908)Termination phase: Saturation
% 7.32/1.32  % (239908)Time elapsed: 0.445 s
% 7.32/1.32  % (239908)Peak memory usage: 21 MB
% 7.32/1.32  % (239908)Instructions burned: 880 (million)
% 7.32/1.32  % (239916)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4192532538:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.32/1.32  % TRYING [8]
% 7.32/1.32  % (239916) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-239871-239916"...
% 7.32/1.32  % (239916)...printing done.
% 7.32/1.32  % (239916)Refutation found. Thanks to Tanya!
% 7.32/1.32  % SZS status Theorem for theBenchmark
% 7.32/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 7.32/1.32  % (239916)------------------------------
% 7.32/1.32  % (239916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.32  % (239916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.32  % (239916)CaDiCaL version: 2.1.3
% 7.32/1.32  % (239916)Termination reason: Refutation
% 7.32/1.32  % (239916)Time elapsed: 0.076 s
% 7.32/1.32  % (239916)Peak memory usage: 14 MB
% 7.32/1.32  % (239916)Instructions burned: 137 (million)
% 7.32/1.32  % (239871)Success in time 1.115 s
% 7.32/1.32  % Vampire exiting
%------------------------------------------------------------------------------