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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC354+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 01:05:41 PM UTC 2026

% Result   : Theorem 7.19s 1.36s
% Output   : Refutation 7.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  135 (  20 unt;   6 def)
%            Number of atoms       :  467 (  79 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  566 ( 234   ~; 250   |;  38   &)
%                                         (  14 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn 100   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(f44,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( X0 = X1
                      & frontsegP(X2,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).

fof(f45,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).

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) ) )
                        | segmentP(X1,X0) )
                      & ( ~ neq(X1,nil)
                        | neq(X3,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/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) ) )
                          | segmentP(X1,X0) )
                        & ( ~ neq(X1,nil)
                          | neq(X3,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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(f156,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( X0 = X1
                      & frontsegP(X2,X3) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f157,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f45]) ).

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(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) ) )
                      & ~ 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) ) )
                      & ~ segmentP(X1,X0) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | app(X1,sK5(X0,X1)) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ssList(sK5(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

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(f344,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ frontsegP(X2,X3)
      | X0 != X1
      | frontsegP(cons(X0,X2),cons(X1,X3)) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f345,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f157]) ).

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

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(f414,plain,
    neq(sK48,nil),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    ( ~ neq(sK50,nil)
    | ~ segmentP(sK48,sK47) ),
    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)
    | ~ segmentP(sK50,sK49) ),
    inference(definition_unfolding,[],[f415,f419,f418]) ).

fof(f427,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f414,f419]) ).

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(f446,plain,
    ! [X2,X3,X1] :
      ( ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ frontsegP(X2,X3)
      | frontsegP(cons(X1,X2),cons(X1,X3)) ),
    inference(equality_resolution,[],[f344]) ).

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(f461,plain,
    ! [X2,X3,X1] :
      ( frontsegP(cons(X1,X2),cons(X1,X3))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ frontsegP(X2,X3)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f446]) ).

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

fof(f466,plain,
    ~ segmentP(sK50,sK49),
    inference(forward_subsumption_resolution,[],[f426,f427]) ).

fof(f467,plain,
    ( ~ neq(nil,sK50)
    | ~ ssItem(hd(sK50))
    | sK49 = cons(hd(sK50),nil)
    | ~ ssList(cons(hd(sK50),nil)) ),
    inference(forward_subsumption_resolution,[],[f456,f427]) ).

fof(f469,definition,
    ( spl51_1
  <=> ssList(cons(hd(sK50),nil)) ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f471,plain,
    ( ~ ssList(cons(hd(sK50),nil))
    | spl51_1 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f473,definition,
    ( spl51_2
  <=> sK49 = cons(hd(sK50),nil) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f475,plain,
    ( sK49 = cons(hd(sK50),nil)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f477,definition,
    ( spl51_3
  <=> ssItem(hd(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f478,plain,
    ( ssItem(hd(sK50))
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f479,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_3 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f481,definition,
    ( spl51_4
  <=> neq(nil,sK50) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ neq(nil,sK50)
    | spl51_4 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,plain,
    ( ~ spl51_1
    | spl51_2
    | ~ spl51_3
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f467,f481,f477,f473,f469]) ).

fof(f506,plain,
    sK49 = app(nil,sK49),
    inference(resolution,[],[f320,f420]) ).

fof(f531,plain,
    ( ~ ssItem(hd(sK50))
    | ~ ssList(nil)
    | spl51_1 ),
    inference(resolution,[],[f305,f471]) ).

fof(f534,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_1 ),
    inference(forward_subsumption_resolution,[],[f531,f306]) ).

fof(f535,plain,
    ( ~ spl51_3
    | spl51_1 ),
    inference(avatar_split_clause,[],[f534,f469,f477]) ).

fof(f538,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl51_3 ),
    inference(resolution,[],[f314,f479]) ).

fof(f539,plain,
    ( nil = sK50
    | spl51_3 ),
    inference(forward_subsumption_resolution,[],[f538,f417]) ).

fof(f541,plain,
    ( neq(nil,nil)
    | spl51_3 ),
    inference(superposition,[],[f427,f539]) ).

fof(f550,plain,
    ( ~ ssList(nil)
    | spl51_3 ),
    inference(resolution,[],[f541,f463]) ).

fof(f551,plain,
    ( $false
    | spl51_3 ),
    inference(forward_subsumption_resolution,[],[f550,f306]) ).

fof(f552,plain,
    spl51_3,
    inference(avatar_contradiction_clause,[],[f551]) ).

fof(f665,definition,
    ( spl51_6
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f666,plain,
    ( nil != sK50
    | spl51_6 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( nil = sK50
    | ~ spl51_6 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f675,plain,
    ( ~ ssList(sK50)
    | nil = sK50
    | ~ ssList(nil)
    | spl51_4 ),
    inference(resolution,[],[f303,f483]) ).

fof(f678,plain,
    ( nil = sK50
    | ~ ssList(nil)
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f675,f417]) ).

fof(f679,plain,
    ( nil = sK50
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f678,f306]) ).

fof(f727,plain,
    ( spl51_6
    | spl51_4 ),
    inference(avatar_split_clause,[],[f679,f481,f665]) ).

fof(f776,plain,
    ( neq(nil,nil)
    | ~ spl51_6 ),
    inference(superposition,[],[f427,f667]) ).

fof(f789,plain,
    ( ~ ssList(nil)
    | ~ spl51_6 ),
    inference(resolution,[],[f776,f463]) ).

fof(f790,plain,
    ( $false
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f789,f306]) ).

fof(f791,plain,
    ~ spl51_6,
    inference(avatar_contradiction_clause,[],[f790]) ).

fof(f1045,plain,
    ( nil = sK50
    | sK50 = cons(hd(sK50),tl(sK50)) ),
    inference(resolution,[],[f389,f417]) ).

fof(f1046,plain,
    ( sK50 = cons(hd(sK50),tl(sK50))
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f1045,f666]) ).

fof(f1090,definition,
    ( spl51_8
  <=> ssList(tl(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).

fof(f1091,plain,
    ( ssList(tl(sK50))
    | ~ spl51_8 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1092,plain,
    ( ~ ssList(tl(sK50))
    | spl51_8 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1104,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl51_8 ),
    inference(resolution,[],[f1092,f316]) ).

fof(f1105,plain,
    ( ~ ssList(sK50)
    | spl51_6
    | spl51_8 ),
    inference(forward_subsumption_resolution,[],[f1104,f666]) ).

fof(f1106,plain,
    ( $false
    | spl51_6
    | spl51_8 ),
    inference(forward_subsumption_resolution,[],[f1105,f417]) ).

fof(f1107,plain,
    ( spl51_6
    | spl51_8 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1921,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK50),X0),sK49)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | ~ frontsegP(X0,nil)
        | ~ ssItem(hd(sK50)) )
    | ~ spl51_2 ),
    inference(superposition,[],[f461,f475]) ).

fof(f1932,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK50),X0),sK49)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | ~ ssItem(hd(sK50)) )
    | ~ spl51_2 ),
    inference(forward_subsumption_resolution,[],[f1921,f345]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK50),X0),sK49)
        | ~ ssList(X0)
        | ~ ssItem(hd(sK50)) )
    | ~ spl51_2 ),
    inference(forward_subsumption_resolution,[],[f1932,f306]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( frontsegP(cons(hd(sK50),X0),sK49)
        | ~ ssList(X0) )
    | ~ spl51_2
    | ~ spl51_3 ),
    inference(forward_subsumption_resolution,[],[f1945,f478]) ).

fof(f2123,plain,
    ( frontsegP(sK50,sK49)
    | ~ ssList(tl(sK50))
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6 ),
    inference(superposition,[],[f1955,f1046]) ).

fof(f2124,plain,
    ( frontsegP(sK50,sK49)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2123,f1091]) ).

fof(f2139,plain,
    ( ~ ssList(sK49)
    | sK50 = app(sK49,sK5(sK50,sK49))
    | ~ ssList(sK50)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(resolution,[],[f2124,f235]) ).

fof(f2140,plain,
    ( sK50 = app(sK49,sK5(sK50,sK49))
    | ~ ssList(sK50)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2139,f420]) ).

fof(f2141,plain,
    ( sK50 = app(sK49,sK5(sK50,sK49))
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2140,f417]) ).

fof(f2618,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(app(sK49,X0)) ),
    inference(superposition,[],[f435,f506]) ).

fof(f2634,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f2618,f318]) ).

fof(f2641,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0)
      | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f2634,f420]) ).

fof(f2645,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f2641,f306]) ).

fof(f2669,plain,
    ( segmentP(sK50,sK49)
    | ~ ssList(sK5(sK50,sK49))
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(superposition,[],[f2645,f2141]) ).

fof(f2671,plain,
    ( ~ ssList(sK5(sK50,sK49))
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2669,f466]) ).

fof(f2688,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK50)
    | ~ frontsegP(sK50,sK49)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(resolution,[],[f2671,f236]) ).

fof(f2689,plain,
    ( ~ ssList(sK50)
    | ~ frontsegP(sK50,sK49)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2688,f420]) ).

fof(f2690,plain,
    ( ~ frontsegP(sK50,sK49)
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2689,f417]) ).

fof(f2691,plain,
    ( $false
    | ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(forward_subsumption_resolution,[],[f2690,f2124]) ).

fof(f2692,plain,
    ( ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(avatar_contradiction_clause,[],[f2691]) ).

cnf(s1,plain,
    ( ~ spl51_1
    | spl51_2
    | ~ spl51_3
    | ~ spl51_4 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s2,plain,
    ( spl51_1
    | ~ spl51_3 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s3,plain,
    spl51_3,
    inference(sat_conversion,[],[f552]) ).

cnf(s5,plain,
    ( spl51_4
    | spl51_6 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s6,plain,
    ~ spl51_6,
    inference(sat_conversion,[],[f791]) ).

cnf(s8,plain,
    ( spl51_6
    | spl51_8 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s13,plain,
    ( ~ spl51_2
    | ~ spl51_3
    | spl51_6
    | ~ spl51_8 ),
    inference(sat_conversion,[],[f2692]) ).

cnf(s14,plain,
    spl51_8,
    inference(rat,[],[s8,s6]) ).

cnf(s15,plain,
    spl51_4,
    inference(rat,[],[s5,s6]) ).

cnf(s16,plain,
    ~ spl51_2,
    inference(rat,[],[s13,s14,s6,s3]) ).

cnf(s18,plain,
    spl51_1,
    inference(rat,[],[s2,s3]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s1,s15,s3,s16,s18]) ).

fof(f2693,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC354+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n008.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 09:15:25 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 7.19/1.36  % (2118558)Will run a generic schedule for satisfiability detection.
% 7.19/1.36  % (2118568)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4114054127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.19/1.36  % (2118564)% WARNING: option uhcvi not known.
% 7.19/1.36  % (2118563)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=286012783_2999 on theBenchmark for (2999ds/0Mi)
% 7.19/1.36  % (2118565)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3078670413:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.19/1.36  % (2118566)dis+10_1_sil=32000:sp=arity:random_seed=1917135452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.19/1.36  % (2118564)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=163683670:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.19/1.36  % (2118567)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2787504882:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.19/1.36  % (2118569)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1814044253:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.19/1.36  % TRYING [1]
% 7.19/1.36  % TRYING [2]
% 7.19/1.36  % TRYING [3]
% 7.19/1.36  % (2118568)Instruction limit reached! 
% 7.19/1.36  % (2118568)------------------------------
% 7.19/1.36  % (2118568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118568)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118568)Termination reason: Instruction limit
% 7.19/1.36  % (2118568)Termination phase: Saturation
% 7.19/1.36  % (2118568)Time elapsed: 0.043 s
% 7.19/1.36  % (2118568)Peak memory usage: 14 MB
% 7.19/1.36  % (2118568)Instructions burned: 131 (million)
% 7.19/1.36  % TRYING [4]
% 7.19/1.36  % (2118577)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=262821023:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.19/1.36  % TRYING [1]
% 7.19/1.36  % TRYING [2]
% 7.19/1.36  % TRYING [3]
% 7.19/1.36  % (2118566)Instruction limit reached! 
% 7.19/1.36  % (2118566)------------------------------
% 7.19/1.36  % (2118566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118566)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118566)Termination reason: Instruction limit
% 7.19/1.36  % (2118566)Termination phase: Saturation
% 7.19/1.36  % (2118566)Time elapsed: 0.060 s
% 7.19/1.36  % (2118566)Peak memory usage: 13 MB
% 7.19/1.36  % (2118566)Instructions burned: 103 (million)
% 7.19/1.36  % TRYING [4]
% 7.19/1.36  % (2118567)Instruction limit reached! 
% 7.19/1.36  % (2118567)------------------------------
% 7.19/1.36  % (2118567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118567)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118567)Termination reason: Instruction limit
% 7.19/1.36  % (2118567)Termination phase: Saturation
% 7.19/1.36  % (2118567)Time elapsed: 0.069 s
% 7.19/1.36  % (2118567)Peak memory usage: 13 MB
% 7.19/1.36  % (2118567)Instructions burned: 117 (million)
% 7.19/1.36  % (2118579)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1123685185:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.19/1.36  % TRYING [5]
% 7.19/1.36  % (2118580)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=3335961511:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.19/1.36  % TRYING [5]
% 7.19/1.36  % (2118569)Instruction limit reached! 
% 7.19/1.36  % (2118569)------------------------------
% 7.19/1.36  % (2118569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118569)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118569)Termination reason: Instruction limit
% 7.19/1.36  % (2118569)Termination phase: Saturation
% 7.19/1.36  % (2118569)Time elapsed: 0.105 s
% 7.19/1.36  % (2118569)Peak memory usage: 16 MB
% 7.19/1.36  % (2118569)Instructions burned: 161 (million)
% 7.19/1.36  % (2118583)ott-21_1_sil=16000:fs=off:random_seed=1753926866:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.19/1.36  % (2118579)Instruction limit reached! 
% 7.19/1.36  % (2118579)------------------------------
% 7.19/1.36  % (2118579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118579)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118579)Termination reason: Instruction limit
% 7.19/1.36  % (2118579)Termination phase: Saturation
% 7.19/1.36  % (2118579)Time elapsed: 0.070 s
% 7.19/1.36  % (2118579)Peak memory usage: 13 MB
% 7.19/1.36  % (2118579)Instructions burned: 132 (million)
% 7.19/1.36  % (2118585)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=556377495:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.19/1.36  % TRYING [6]
% 7.19/1.36  % TRYING [6]
% 7.19/1.36  % (2118577)Instruction limit reached! 
% 7.19/1.36  % (2118577)------------------------------
% 7.19/1.36  % (2118577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118577)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118577)Termination reason: Instruction limit
% 7.19/1.36  % (2118577)Termination phase: Finite model building constraint generation
% 7.19/1.36  % (2118577)Time elapsed: 0.158 s
% 7.19/1.36  % (2118577)Peak memory usage: 28 MB
% 7.19/1.36  % (2118577)Instructions burned: 716 (million)
% 7.19/1.36  % (2118583)Instruction limit reached! 
% 7.19/1.36  % (2118583)------------------------------
% 7.19/1.36  % (2118583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118583)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118583)Termination reason: Instruction limit
% 7.19/1.36  % (2118583)Termination phase: Saturation
% 7.19/1.36  % (2118583)Time elapsed: 0.092 s
% 7.19/1.36  % (2118583)Peak memory usage: 13 MB
% 7.19/1.36  % (2118583)Instructions burned: 182 (million)
% 7.19/1.36  % (2118587)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4243823304:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.19/1.36  % TRYING [1]
% 7.19/1.36  % TRYING [2]
% 7.19/1.36  % TRYING [3]
% 7.19/1.36  % (2118589)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1660228351:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.19/1.36  % TRYING [4]
% 7.19/1.36  % TRYING [5]
% 7.19/1.36  % (2118587)Instruction limit reached! 
% 7.19/1.36  % (2118587)------------------------------
% 7.19/1.36  % (2118587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118587)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118587)Termination reason: Instruction limit
% 7.19/1.36  % (2118587)Termination phase: Finite model building SAT solving
% 7.19/1.36  % (2118587)Time elapsed: 0.182 s
% 7.19/1.36  % (2118587)Peak memory usage: 23 MB
% 7.19/1.36  % (2118587)Instructions burned: 867 (million)
% 7.19/1.36  % (2118591)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=883807046:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.19/1.36  % TRYING [7]
% 7.19/1.36  % (2118580)Instruction limit reached! 
% 7.19/1.36  % (2118580)------------------------------
% 7.19/1.36  % (2118580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118580)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118580)Termination reason: Instruction limit
% 7.19/1.36  % (2118580)Termination phase: Saturation
% 7.19/1.36  % (2118580)Time elapsed: 0.377 s
% 7.19/1.36  % (2118580)Peak memory usage: 21 MB
% 7.19/1.36  % (2118580)Instructions burned: 685 (million)
% 7.19/1.36  % TRYING [14]
% 7.19/1.36  % (2118593)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=3357604627:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.19/1.36  % (2118585)Instruction limit reached! 
% 7.19/1.36  % (2118585)------------------------------
% 7.19/1.36  % (2118585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118585)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118585)Termination reason: Instruction limit
% 7.19/1.36  % (2118585)Termination phase: Saturation
% 7.19/1.36  % (2118585)Time elapsed: 0.324 s
% 7.19/1.36  % (2118585)Peak memory usage: 14 MB
% 7.19/1.36  % (2118585)Instructions burned: 478 (million)
% 7.19/1.36  % (2118595)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3723943361:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.19/1.36  % (2118591)Instruction limit reached! 
% 7.19/1.36  % (2118591)------------------------------
% 7.19/1.36  % (2118591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118591)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118591)Termination reason: Instruction limit
% 7.19/1.36  % (2118591)Termination phase: Finite model building constraint generation
% 7.19/1.36  % (2118591)Time elapsed: 0.177 s
% 7.19/1.36  % (2118591)Peak memory usage: 70 MB
% 7.19/1.36  % (2118591)Instructions burned: 892 (million)
% 7.19/1.36  % (2118597)fmb+10_1_sil=64000:random_seed=3887797238:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.19/1.36  % TRYING [1]
% 7.19/1.36  % TRYING [2]
% 7.19/1.36  % TRYING [3]
% 7.19/1.36  % TRYING [4]
% 7.19/1.36  % TRYING [5]
% 7.19/1.36  % (2118593)Instruction limit reached! 
% 7.19/1.36  % (2118593)------------------------------
% 7.19/1.36  % (2118593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118593)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118593)Termination reason: Instruction limit
% 7.19/1.36  % (2118593)Termination phase: Saturation
% 7.19/1.36  % (2118593)Time elapsed: 0.385 s
% 7.19/1.36  % (2118593)Peak memory usage: 24 MB
% 7.19/1.36  % (2118593)Instructions burned: 694 (million)
% 7.19/1.36  % TRYING [6]
% 7.19/1.36  % (2118589)Instruction limit reached! 
% 7.19/1.36  % (2118589)------------------------------
% 7.19/1.36  % (2118589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118589)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118589)Termination reason: Instruction limit
% 7.19/1.36  % (2118589)Termination phase: Saturation
% 7.19/1.36  % (2118589)Time elapsed: 0.650 s
% 7.19/1.36  % (2118589)Peak memory usage: 28 MB
% 7.19/1.36  % (2118589)Instructions burned: 1179 (million)
% 7.19/1.36  % (2118599)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2779649761:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.19/1.36  % TRYING [20]
% 7.19/1.36  % (2118600)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1730820688:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.19/1.36  % TRYING [8]
% 7.19/1.36  % TRYING [8]
% 7.19/1.36  % (2118595)Instruction limit reached! 
% 7.19/1.36  % (2118595)------------------------------
% 7.19/1.36  % (2118595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118595)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118595)Termination reason: Instruction limit
% 7.19/1.36  % (2118595)Termination phase: Saturation
% 7.19/1.36  % (2118595)Time elapsed: 0.471 s
% 7.19/1.36  % (2118595)Peak memory usage: 22 MB
% 7.19/1.36  % (2118595)Instructions burned: 881 (million)
% 7.19/1.36  % (2118603)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=817782191:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.19/1.36  % (2118603) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2118558-2118603"...
% 7.19/1.36  % (2118603)...printing done.
% 7.19/1.36  % (2118603)Refutation found. Thanks to Tanya!
% 7.19/1.36  % SZS status Theorem for theBenchmark
% 7.19/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 7.19/1.36  % (2118603)------------------------------
% 7.19/1.36  % (2118603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.36  % (2118603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.36  % (2118603)CaDiCaL version: 2.1.3
% 7.19/1.36  % (2118603)Termination reason: Refutation
% 7.19/1.36  % (2118603)Time elapsed: 0.057 s
% 7.19/1.36  % (2118603)Peak memory usage: 13 MB
% 7.19/1.36  % (2118603)Instructions burned: 103 (million)
% 7.19/1.36  % (2118558)Success in time 1.119 s
% 7.19/1.36  % Vampire exiting
%------------------------------------------------------------------------------