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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC058+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 : n004.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 01:04:29 PM UTC 2026

% Result   : Theorem 1.49s 0.69s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  186 (  23 unt;  10 def)
%            Number of atoms       :  651 (  71 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  860 ( 395   ~; 390   |;  29   &)
%                                         (  14 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  151 (   0 sgn 139   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

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

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(f47,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( ( rearsegP(X0,X1)
                  & rearsegP(X1,X2) )
               => rearsegP(X0,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax47) ).

fof(f48,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( rearsegP(X0,X1)
              & rearsegP(X1,X0) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).

fof(f50,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( rearsegP(X0,X1)
               => rearsegP(app(X2,X0),X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).

fof(f51,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(f56,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( segmentP(X0,X1)
                   => segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | ( ( nil != X1
                      | nil = X0 )
                    & ( ~ neq(X1,nil)
                      | ? [X4] :
                          ( ssList(X4)
                          & neq(X4,nil)
                          & segmentP(X1,X4)
                          & segmentP(X0,X4) ) ) )
                  | ( ( nil != X3
                      | nil != X2 )
                    & ( ~ neq(X2,nil)
                      | ~ rearsegP(X3,X2) ) ) ) ) ) ),
    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
                    | ( ( nil != X1
                        | nil = X0 )
                      & ( ~ neq(X1,nil)
                        | ? [X4] :
                            ( ssList(X4)
                            & neq(X4,nil)
                            & segmentP(X1,X4)
                            & segmentP(X0,X4) ) ) )
                    | ( ( nil != X3
                        | nil != X2 )
                      & ( ~ neq(X2,nil)
                        | ~ rearsegP(X3,X2) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

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(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(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X0,X1)
              | ~ rearsegP(X1,X2)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(X0,X2)
              | ~ rearsegP(X0,X1)
              | ~ rearsegP(X1,X2)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f159]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X0,X1)
          | ~ rearsegP(X1,X0)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X0,X1)
          | ~ rearsegP(X1,X0)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f161]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( rearsegP(app(X2,X0),X1)
              | ~ rearsegP(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f164]) ).

fof(f166,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f172,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f174,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( segmentP(app(app(X2,X0),X3),X1)
                  | ~ segmentP(X0,X1)
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f173]) ).

fof(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

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

fof(f237,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | app(sK6(X0,X1),X1) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ssList(sK6(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f239,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | rearsegP(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f240,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(f305,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f319,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f347,plain,
    ! [X2,X0,X1] :
      ( ~ rearsegP(X1,X2)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ rearsegP(X0,X1)
      | rearsegP(X0,X2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f162]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( rearsegP(app(X2,X0),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f351,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f356,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f357,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X0)
      | segmentP(app(app(X2,X0),X3),X1) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f201]) ).

fof(f410,plain,
    ! [X4] :
      ( ~ segmentP(sK47,X4)
      | ~ segmentP(sK48,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | nil = sK48 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f411,plain,
    ! [X4] :
      ( ~ segmentP(sK47,X4)
      | ~ segmentP(sK48,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | nil != sK47 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f412,plain,
    ( neq(sK48,nil)
    | nil != sK47 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f415,plain,
    ( neq(sK49,nil)
    | nil = sK50 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f416,plain,
    ( rearsegP(sK50,sK49)
    | nil = sK49 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f417,plain,
    ( rearsegP(sK50,sK49)
    | nil = sK50 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f418,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f221]) ).

fof(f419,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f221]) ).

fof(f420,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f221]) ).

fof(f421,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f221]) ).

fof(f427,plain,
    ( neq(sK50,nil)
    | nil != sK49 ),
    inference(definition_unfolding,[],[f412,f419,f418]) ).

fof(f428,plain,
    ! [X4] :
      ( ~ segmentP(sK49,X4)
      | ~ segmentP(sK50,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | nil != sK49 ),
    inference(definition_unfolding,[],[f411,f418,f419,f418]) ).

fof(f429,plain,
    ! [X4] :
      ( ~ segmentP(sK49,X4)
      | ~ segmentP(sK50,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | nil = sK50 ),
    inference(definition_unfolding,[],[f410,f418,f419,f419]) ).

fof(f434,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f239]) ).

fof(f435,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f240]) ).

fof(f463,definition,
    ( spl51_1
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f465,plain,
    ( nil = sK50
    | ~ spl51_1 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f467,definition,
    ( spl51_2
  <=> ! [X4] :
        ( ~ segmentP(sK49,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ segmentP(sK50,X4) ) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X4] :
        ( ~ segmentP(sK50,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ segmentP(sK49,X4) )
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl51_1
    | spl51_2 ),
    inference(avatar_split_clause,[],[f429,f467,f463]) ).

fof(f471,definition,
    ( spl51_3
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f472,plain,
    ( nil = sK49
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( nil != sK49
    | spl51_3 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f474,plain,
    ( ~ spl51_3
    | spl51_2 ),
    inference(avatar_split_clause,[],[f428,f467,f471]) ).

fof(f476,definition,
    ( spl51_4
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f478,plain,
    ( neq(sK50,nil)
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f479,plain,
    ( ~ spl51_3
    | spl51_4 ),
    inference(avatar_split_clause,[],[f427,f476,f471]) ).

fof(f482,definition,
    ( spl51_5
  <=> neq(sK49,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).

fof(f484,plain,
    ( neq(sK49,nil)
    | ~ spl51_5 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f486,plain,
    ( spl51_1
    | spl51_5 ),
    inference(avatar_split_clause,[],[f415,f482,f463]) ).

fof(f488,definition,
    ( spl51_6
  <=> rearsegP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f490,plain,
    ( rearsegP(sK50,sK49)
    | ~ spl51_6 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f491,plain,
    ( spl51_3
    | spl51_6 ),
    inference(avatar_split_clause,[],[f416,f488,f471]) ).

fof(f492,plain,
    ( spl51_1
    | spl51_6 ),
    inference(avatar_split_clause,[],[f417,f488,f463]) ).

fof(f511,definition,
    ( spl51_11
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_11])],[avatar_definition]) ).

fof(f512,plain,
    ( ~ segmentP(nil,nil)
    | spl51_11 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( segmentP(nil,nil)
    | ~ spl51_11 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f525,plain,
    ( ssList(nil)
    | ~ spl51_1 ),
    inference(superposition,[],[f420,f465]) ).

fof(f527,plain,
    ( neq(nil,nil)
    | ~ spl51_1
    | ~ spl51_4 ),
    inference(forward_demodulation,[],[f478,f465]) ).

fof(f528,plain,
    ( ! [X4] :
        ( ~ segmentP(nil,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ segmentP(sK50,X4) )
    | ~ spl51_2
    | ~ spl51_3 ),
    inference(forward_demodulation,[],[f468,f472]) ).

fof(f529,plain,
    ( ! [X4] :
        ( ~ segmentP(nil,X4)
        | ~ segmentP(nil,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil) )
    | ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3 ),
    inference(forward_demodulation,[],[f528,f465]) ).

fof(f530,plain,
    ( ! [X4] :
        ( ~ segmentP(nil,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil) )
    | ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3 ),
    inference(duplicate_literal_removal,[],[f529]) ).

fof(f531,plain,
    ( ~ ssList(nil)
    | ~ neq(nil,nil)
    | ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_11 ),
    inference(resolution,[],[f513,f530]) ).

fof(f532,plain,
    ( ~ neq(nil,nil)
    | ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f531,f525]) ).

fof(f533,plain,
    ( $false
    | ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_4
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f532,f527]) ).

fof(f534,plain,
    ( ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_4
    | ~ spl51_11 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f538,plain,
    ( ~ ssList(nil)
    | spl51_11 ),
    inference(resolution,[],[f356,f512]) ).

fof(f540,plain,
    ( $false
    | spl51_11 ),
    inference(forward_subsumption_resolution,[],[f538,f305]) ).

fof(f541,plain,
    spl51_11,
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f611,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | app(sK6(X0,nil),nil) = X0
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f237,f351]) ).

fof(f614,plain,
    ( ~ ssList(sK49)
    | sK50 = app(sK6(sK50,sK49),sK49)
    | ~ ssList(sK50)
    | ~ spl51_6 ),
    inference(resolution,[],[f237,f490]) ).

fof(f617,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | app(sK6(X0,nil),nil) = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f611]) ).

fof(f619,plain,
    ( sK50 = app(sK6(sK50,sK49),sK49)
    | ~ ssList(sK50)
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f614,f421]) ).

fof(f621,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sK6(X0,nil),nil) = X0 ),
    inference(forward_subsumption_resolution,[],[f617,f305]) ).

fof(f622,plain,
    ( sK50 = app(sK6(sK50,sK49),sK49)
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f619,f420]) ).

fof(f640,plain,
    sK49 = app(sK6(sK49,nil),nil),
    inference(resolution,[],[f621,f421]) ).

fof(f651,plain,
    ! [X0] :
      ( rearsegP(sK49,X0)
      | ~ ssList(X0)
      | ~ ssList(sK6(sK49,nil))
      | ~ rearsegP(nil,X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f350,f640]) ).

fof(f654,plain,
    ! [X0] :
      ( rearsegP(sK49,X0)
      | ~ ssList(X0)
      | ~ ssList(sK6(sK49,nil))
      | ~ rearsegP(nil,X0) ),
    inference(forward_subsumption_resolution,[],[f651,f305]) ).

fof(f658,definition,
    ( spl51_18
  <=> ssList(sK6(sK49,nil)) ),
    introduced(definition,[new_symbols(definition,[spl51_18])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ ssList(sK6(sK49,nil))
    | spl51_18 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f662,definition,
    ( spl51_19
  <=> ! [X0] :
        ( rearsegP(sK49,X0)
        | ~ rearsegP(nil,X0)
        | ~ ssList(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl51_19])],[avatar_definition]) ).

fof(f663,plain,
    ( ! [X0] :
        ( ~ rearsegP(nil,X0)
        | rearsegP(sK49,X0)
        | ~ ssList(X0) )
    | ~ spl51_19 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f664,plain,
    ( ~ spl51_18
    | spl51_19 ),
    inference(avatar_split_clause,[],[f654,f662,f658]) ).

fof(f674,definition,
    ( spl51_22
  <=> ssList(sK6(sK50,sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_22])],[avatar_definition]) ).

fof(f675,plain,
    ( ssList(sK6(sK50,sK49))
    | ~ spl51_22 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f676,plain,
    ( ~ ssList(sK6(sK50,sK49))
    | spl51_22 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f681,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK50)
    | ~ rearsegP(sK50,sK49)
    | spl51_22 ),
    inference(resolution,[],[f676,f238]) ).

fof(f682,plain,
    ( ~ ssList(sK50)
    | ~ rearsegP(sK50,sK49)
    | spl51_22 ),
    inference(forward_subsumption_resolution,[],[f681,f421]) ).

fof(f683,plain,
    ( ~ rearsegP(sK50,sK49)
    | spl51_22 ),
    inference(forward_subsumption_resolution,[],[f682,f420]) ).

fof(f684,plain,
    ( $false
    | ~ spl51_6
    | spl51_22 ),
    inference(forward_subsumption_resolution,[],[f683,f490]) ).

fof(f685,plain,
    ( ~ spl51_6
    | spl51_22 ),
    inference(avatar_contradiction_clause,[],[f684]) ).

fof(f688,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK49)
    | ~ rearsegP(sK49,nil)
    | spl51_18 ),
    inference(resolution,[],[f660,f238]) ).

fof(f689,plain,
    ( ~ ssList(sK49)
    | ~ rearsegP(sK49,nil)
    | spl51_18 ),
    inference(forward_subsumption_resolution,[],[f688,f305]) ).

fof(f690,plain,
    ( ~ rearsegP(sK49,nil)
    | spl51_18 ),
    inference(forward_subsumption_resolution,[],[f689,f421]) ).

fof(f691,plain,
    ( ~ ssList(sK49)
    | spl51_18 ),
    inference(resolution,[],[f690,f351]) ).

fof(f692,plain,
    ( $false
    | spl51_18 ),
    inference(forward_subsumption_resolution,[],[f691,f421]) ).

fof(f693,plain,
    spl51_18,
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f713,plain,
    ( rearsegP(sK49,nil)
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl51_19 ),
    inference(resolution,[],[f663,f351]) ).

fof(f714,plain,
    ( rearsegP(sK49,nil)
    | ~ ssList(nil)
    | ~ spl51_19 ),
    inference(duplicate_literal_removal,[],[f713]) ).

fof(f716,plain,
    ( rearsegP(sK49,nil)
    | ~ spl51_19 ),
    inference(forward_subsumption_resolution,[],[f714,f305]) ).

fof(f806,plain,
    ( ! [X0] :
        ( ~ ssList(sK50)
        | ~ ssList(sK49)
        | ~ ssList(X0)
        | ~ rearsegP(X0,sK50)
        | rearsegP(X0,sK49) )
    | ~ spl51_6 ),
    inference(resolution,[],[f347,f490]) ).

fof(f815,plain,
    ( ! [X0] :
        ( ~ ssList(sK49)
        | ~ ssList(X0)
        | ~ rearsegP(X0,sK50)
        | rearsegP(X0,sK49) )
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f806,f420]) ).

fof(f818,plain,
    ( ! [X0] :
        ( ~ rearsegP(X0,sK50)
        | ~ ssList(X0)
        | rearsegP(X0,sK49) )
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f815,f421]) ).

fof(f828,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sK50))
        | rearsegP(app(X0,sK50),sK49)
        | ~ ssList(sK50)
        | ~ ssList(X0)
        | ~ ssList(app(X0,sK50)) )
    | ~ spl51_6 ),
    inference(resolution,[],[f818,f434]) ).

fof(f832,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sK50))
        | rearsegP(app(X0,sK50),sK49)
        | ~ ssList(sK50)
        | ~ ssList(X0) )
    | ~ spl51_6 ),
    inference(duplicate_literal_removal,[],[f828]) ).

fof(f837,plain,
    ( ! [X0] :
        ( rearsegP(app(X0,sK50),sK49)
        | ~ ssList(app(X0,sK50))
        | ~ ssList(X0) )
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f832,f420]) ).

fof(f866,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sK50))
        | ~ ssList(X0)
        | ~ ssList(app(X0,sK50))
        | ~ ssList(sK49)
        | ~ rearsegP(sK49,app(X0,sK50))
        | sK49 = app(X0,sK50) )
    | ~ spl51_6 ),
    inference(resolution,[],[f837,f348]) ).

fof(f868,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sK50))
        | ~ ssList(X0)
        | ~ ssList(sK49)
        | ~ rearsegP(sK49,app(X0,sK50))
        | sK49 = app(X0,sK50) )
    | ~ spl51_6 ),
    inference(duplicate_literal_removal,[],[f866]) ).

fof(f871,plain,
    ( ! [X0] :
        ( ~ rearsegP(sK49,app(X0,sK50))
        | ~ ssList(X0)
        | ~ ssList(app(X0,sK50))
        | sK49 = app(X0,sK50) )
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f868,f421]) ).

fof(f1218,plain,
    sK49 = app(nil,sK49),
    inference(resolution,[],[f319,f421]) ).

fof(f1219,plain,
    sK50 = app(nil,sK50),
    inference(resolution,[],[f319,f420]) ).

fof(f1255,plain,
    sK49 = app(sK49,nil),
    inference(resolution,[],[f396,f421]) ).

fof(f1256,plain,
    sK50 = app(sK50,nil),
    inference(resolution,[],[f396,f420]) ).

fof(f1272,plain,
    ( ~ rearsegP(sK49,sK50)
    | ~ ssList(nil)
    | ~ ssList(sK50)
    | sK49 = sK50
    | ~ spl51_6 ),
    inference(superposition,[],[f871,f1219]) ).

fof(f1530,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(app(app(X1,X0),X2),X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f357,f356]) ).

fof(f1538,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X1,X0),X2),X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f1530]) ).

fof(f1655,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK49,X0),sK49) ),
    inference(superposition,[],[f435,f1218]) ).

fof(f1688,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK49,X0),sK49) ),
    inference(forward_subsumption_resolution,[],[f1655,f421]) ).

fof(f1717,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(X0)
      | segmentP(app(sK49,X0),sK49) ),
    inference(forward_subsumption_resolution,[],[f1688,f305]) ).

fof(f2715,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0)
      | ~ ssList(sK49) ),
    inference(resolution,[],[f1717,f317]) ).

fof(f2717,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK49,X0),sK49)
      | ~ ssList(sK49) ),
    inference(duplicate_literal_removal,[],[f2715]) ).

fof(f2718,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f2717,f421]) ).

fof(f2724,plain,
    ( segmentP(sK49,sK49)
    | ~ ssList(nil) ),
    inference(superposition,[],[f2718,f1255]) ).

fof(f2725,plain,
    segmentP(sK49,sK49),
    inference(forward_subsumption_resolution,[],[f2724,f305]) ).

fof(f7836,plain,
    ( ! [X0] :
        ( segmentP(app(sK50,X0),sK49)
        | ~ ssList(sK6(sK50,sK49))
        | ~ ssList(X0)
        | ~ ssList(sK49) )
    | ~ spl51_6 ),
    inference(superposition,[],[f1538,f622]) ).

fof(f7855,plain,
    ( ! [X0] :
        ( segmentP(app(sK50,X0),sK49)
        | ~ ssList(X0)
        | ~ ssList(sK49) )
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7836,f675]) ).

fof(f7882,plain,
    ( ! [X0] :
        ( segmentP(app(sK50,X0),sK49)
        | ~ ssList(X0) )
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7855,f421]) ).

fof(f7924,plain,
    ( segmentP(sK50,sK49)
    | ~ ssList(nil)
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(superposition,[],[f7882,f1256]) ).

fof(f7925,plain,
    ( segmentP(sK50,sK49)
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7924,f305]) ).

fof(f7930,plain,
    ( ~ ssList(sK49)
    | ~ neq(sK49,nil)
    | ~ segmentP(sK49,sK49)
    | ~ spl51_2
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(resolution,[],[f7925,f468]) ).

fof(f7939,plain,
    ( ~ neq(sK49,nil)
    | ~ segmentP(sK49,sK49)
    | ~ spl51_2
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7930,f421]) ).

fof(f7943,plain,
    ( ~ segmentP(sK49,sK49)
    | ~ spl51_2
    | ~ spl51_5
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7939,f484]) ).

fof(f7944,plain,
    ( $false
    | ~ spl51_2
    | ~ spl51_5
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(forward_subsumption_resolution,[],[f7943,f2725]) ).

fof(f7945,plain,
    ( ~ spl51_2
    | ~ spl51_5
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(avatar_contradiction_clause,[],[f7944]) ).

fof(f8386,plain,
    ( ~ rearsegP(sK49,sK50)
    | ~ ssList(sK50)
    | sK49 = sK50
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f1272,f305]) ).

fof(f8398,plain,
    ( ~ rearsegP(sK49,sK50)
    | sK49 = sK50
    | ~ spl51_6 ),
    inference(forward_subsumption_resolution,[],[f8386,f420]) ).

fof(f8405,plain,
    ( ~ rearsegP(sK49,nil)
    | sK49 = sK50
    | ~ spl51_1
    | ~ spl51_6 ),
    inference(forward_demodulation,[],[f8398,f465]) ).

fof(f8411,plain,
    ( sK49 = sK50
    | ~ spl51_1
    | ~ spl51_6
    | ~ spl51_19 ),
    inference(forward_subsumption_resolution,[],[f8405,f716]) ).

fof(f8417,plain,
    ( nil = sK49
    | ~ spl51_1
    | ~ spl51_6
    | ~ spl51_19 ),
    inference(forward_demodulation,[],[f8411,f465]) ).

fof(f8423,plain,
    ( $false
    | ~ spl51_1
    | spl51_3
    | ~ spl51_6
    | ~ spl51_19 ),
    inference(forward_subsumption_resolution,[],[f8417,f473]) ).

fof(f8424,plain,
    ( ~ spl51_1
    | spl51_3
    | ~ spl51_6
    | ~ spl51_19 ),
    inference(avatar_contradiction_clause,[],[f8423]) ).

cnf(s1,plain,
    ( spl51_1
    | spl51_2 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s2,plain,
    ( spl51_2
    | ~ spl51_3 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s3,plain,
    ( ~ spl51_3
    | spl51_4 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s6,plain,
    ( spl51_1
    | spl51_5 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s7,plain,
    ( spl51_3
    | spl51_6 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s8,plain,
    ( spl51_1
    | spl51_6 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s15,plain,
    ( ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_4
    | ~ spl51_11 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s17,plain,
    spl51_11,
    inference(sat_conversion,[],[f541]) ).

cnf(s22,plain,
    ( ~ spl51_18
    | spl51_19 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s25,plain,
    ( ~ spl51_6
    | spl51_22 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s26,plain,
    spl51_18,
    inference(sat_conversion,[],[f693]) ).

cnf(s354,plain,
    ( ~ spl51_2
    | ~ spl51_5
    | ~ spl51_6
    | ~ spl51_22 ),
    inference(sat_conversion,[],[f7945]) ).

cnf(s461,plain,
    ( ~ spl51_1
    | spl51_3
    | ~ spl51_6
    | ~ spl51_19 ),
    inference(sat_conversion,[],[f8424]) ).

cnf(s485,plain,
    spl51_19,
    inference(rat,[],[s22,s26]) ).

cnf(s492,plain,
    ( ~ spl51_1
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_4 ),
    inference(rat,[],[s15,s17]) ).

cnf(s498,plain,
    spl51_1,
    inference(rat,[],[s354,s25,s1,s6,s8]) ).

cnf(s504,plain,
    spl51_3,
    inference(rat,[],[s7,s461,s498,s485]) ).

cnf(s505,plain,
    spl51_4,
    inference(rat,[],[s3,s504]) ).

cnf(s506,plain,
    spl51_2,
    inference(rat,[],[s2,s504]) ).

cnf(s507,plain,
    $false,
    inference(rat,[],[s492,s498,s504,s506,s505]) ).

fof(f8427,plain,
    $false,
    inference(avatar_sat_refutation,[],[s507]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC058+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 28 07:38:37 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39  Running first-order model finding
% 0.10/0.39  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
% 1.49/0.69  % (186140)Will run a generic schedule for satisfiability detection.
% 1.49/0.69  % (186149)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2699421656:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.69  % (186146)% WARNING: option uhcvi not known.
% 1.49/0.69  % (186145)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2148355408_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.69  % (186150)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1482301257:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.69  % (186147)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=823938030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.69  % (186148)dis+10_1_sil=32000:sp=arity:random_seed=238878218:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.69  % (186151)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=392430165:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.69  % (186146)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=513706059:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.69  % TRYING [1]
% 1.49/0.69  % TRYING [2]
% 1.49/0.69  % TRYING [3]
% 1.49/0.69  % (186149)Instruction limit reached! 
% 1.49/0.69  % (186149)------------------------------
% 1.49/0.69  % (186149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186149)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186149)Termination reason: Instruction limit
% 1.49/0.69  % (186149)Termination phase: Saturation
% 1.49/0.69  % (186149)Time elapsed: 0.037 s
% 1.49/0.69  % (186149)Peak memory usage: 13 MB
% 1.49/0.69  % (186149)Instructions burned: 117 (million)
% 1.49/0.69  % TRYING [4]
% 1.49/0.69  % (186159)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2579940204:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.49/0.69  % TRYING [1]
% 1.49/0.69  % TRYING [2]
% 1.49/0.69  % TRYING [3]
% 1.49/0.69  % TRYING [4]
% 1.49/0.69  % (186148)Instruction limit reached! 
% 1.49/0.69  % (186148)------------------------------
% 1.49/0.69  % (186148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186148)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186148)Termination reason: Instruction limit
% 1.49/0.69  % (186148)Termination phase: Saturation
% 1.49/0.69  % (186148)Time elapsed: 0.061 s
% 1.49/0.69  % (186148)Peak memory usage: 13 MB
% 1.49/0.69  % (186148)Instructions burned: 104 (million)
% 1.49/0.69  % (186150)Instruction limit reached! 
% 1.49/0.69  % (186150)------------------------------
% 1.49/0.69  % (186150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186150)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186150)Termination reason: Instruction limit
% 1.49/0.69  % (186150)Termination phase: Saturation
% 1.49/0.69  % (186150)Time elapsed: 0.074 s
% 1.49/0.69  % (186150)Peak memory usage: 14 MB
% 1.49/0.69  % (186150)Instructions burned: 132 (million)
% 1.49/0.69  % (186161)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1011300047:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.69  % TRYING [5]
% 1.49/0.69  % TRYING [5]
% 1.49/0.69  % (186162)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=2687318646:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.49/0.69  % (186151)Instruction limit reached! 
% 1.49/0.69  % (186151)------------------------------
% 1.49/0.69  % (186151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186151)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186151)Termination reason: Instruction limit
% 1.49/0.69  % (186151)Termination phase: Saturation
% 1.49/0.69  % (186151)Time elapsed: 0.098 s
% 1.49/0.69  % (186151)Peak memory usage: 15 MB
% 1.49/0.69  % (186151)Instructions burned: 165 (million)
% 1.49/0.69  % (186165)ott-21_1_sil=16000:fs=off:random_seed=410576366:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.69  % (186161)Instruction limit reached! 
% 1.49/0.69  % (186161)------------------------------
% 1.49/0.69  % (186161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186161)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186161)Termination reason: Instruction limit
% 1.49/0.69  % (186161)Termination phase: Saturation
% 1.49/0.69  % (186161)Time elapsed: 0.071 s
% 1.49/0.69  % (186161)Peak memory usage: 13 MB
% 1.49/0.69  % (186161)Instructions burned: 131 (million)
% 1.49/0.69  % (186167)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=305322793:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.49/0.69  % TRYING [6]
% 1.49/0.69  % (186159)Instruction limit reached! 
% 1.49/0.69  % (186159)------------------------------
% 1.49/0.69  % (186159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186159)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186159)Termination reason: Instruction limit
% 1.49/0.69  % (186159)Termination phase: Finite model building constraint generation
% 1.49/0.69  % (186159)Time elapsed: 0.162 s
% 1.49/0.69  % (186159)Peak memory usage: 27 MB
% 1.49/0.69  % (186159)Instructions burned: 720 (million)
% 1.49/0.69  % (186165)Instruction limit reached! 
% 1.49/0.69  % (186165)------------------------------
% 1.49/0.69  % (186165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186165)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186165)Termination reason: Instruction limit
% 1.49/0.69  % (186165)Termination phase: Saturation
% 1.49/0.69  % (186165)Time elapsed: 0.092 s
% 1.49/0.69  % (186165)Peak memory usage: 13 MB
% 1.49/0.69  % (186165)Instructions burned: 180 (million)
% 1.49/0.69  % TRYING [6]
% 1.49/0.69  % (186169)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1648136810:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.49/0.69  % TRYING [1]
% 1.49/0.69  % TRYING [2]
% 1.49/0.69  % TRYING [3]
% 1.49/0.69  % (186170)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3938529177:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.49/0.69  % (186162) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-186140-186162"...
% 1.49/0.69  % (186162)...printing done.
% 1.49/0.69  % (186162)Refutation found. Thanks to Tanya!
% 1.49/0.69  % SZS status Theorem for theBenchmark
% 1.49/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.69  % (186162)------------------------------
% 1.49/0.69  % (186162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.69  % (186162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.69  % (186162)CaDiCaL version: 2.1.3
% 1.49/0.69  % (186162)Termination reason: Refutation
% 1.49/0.69  % (186162)Time elapsed: 0.152 s
% 1.49/0.69  % (186162)Peak memory usage: 16 MB
% 1.49/0.69  % (186162)Instructions burned: 265 (million)
% 1.49/0.69  % (186140)Success in time 0.286 s
% 1.49/0.69  % Vampire exiting
%------------------------------------------------------------------------------