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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC122+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:02:33 PM UTC 2026

% Result   : Theorem 3.96s 1.71s
% Output   : Refutation 5.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   92 (  19 unt;   7 def)
%            Number of atoms       :  331 (  46 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  401 ( 162   ~; 156   |;  57   &)
%                                         (  11 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   85 (   0 sgn  65   !;  20   ?)

% 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/theBenchmark.p',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/theBenchmark.p',ax7) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ neq(X1,nil)
                    | ( nil != X2
                      & nil = X3 )
                    | ( neq(X0,nil)
                      & segmentP(X1,X0) )
                    | ( neq(X3,nil)
                      & ( ~ 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
                      | ~ neq(X1,nil)
                      | ( nil != X2
                        & nil = X3 )
                      | ( neq(X0,nil)
                        & segmentP(X1,X0) )
                      | ( neq(X3,nil)
                        & ( ~ 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(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

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

fof(f243,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X2,X1) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X2,X1) = X0 )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f244,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X2,X1) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X3,X1) = X0 )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f243]) ).

fof(f245,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X2,X1) != X0 ) )
            & ( ( ssList(sK12(X0,X1))
                & app(sK12(X0,X1),X1) = X0 )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X3,sK12(X0,X1))],[f244]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & app(app(X2,X1),X3) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f247,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X1),X5) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f246]) ).

fof(f248,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ( ssList(sK13(X0,X1))
                & ssList(sK14(X0,X1))
                & app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).

fof(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & neq(sK54,nil)
    & ( nil = sK55
      | nil != sK56 )
    & ( ~ neq(sK53,nil)
      | ~ segmentP(sK54,sK53) )
    & ( ~ neq(sK56,nil)
      | ( neq(sK55,nil)
        & rearsegP(sK56,sK55) ) )
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | app(sK12(X0,X1),X1) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ssList(sK12(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f318,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f389,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f482,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f498,plain,
    ssList(sK55),
    inference(cnf_transformation,[],[f296]) ).

fof(f499,plain,
    ssList(sK56),
    inference(cnf_transformation,[],[f296]) ).

fof(f500,plain,
    ( ~ neq(sK56,nil)
    | rearsegP(sK56,sK55) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f501,plain,
    ( ~ neq(sK56,nil)
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f502,plain,
    ( ~ neq(sK53,nil)
    | ~ segmentP(sK54,sK53) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    neq(sK54,nil),
    inference(cnf_transformation,[],[f296]) ).

fof(f505,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f512,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f318]) ).

fof(f542,definition,
    ( spl57_1
  <=> rearsegP(sK56,sK55) ),
    introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).

fof(f544,plain,
    ( rearsegP(sK56,sK55)
    | ~ spl57_1 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl57_2
  <=> neq(sK56,nil) ),
    introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).

fof(f549,plain,
    ( spl57_1
    | ~ spl57_2 ),
    inference(avatar_split_clause,[],[f500,f546,f542]) ).

fof(f551,definition,
    ( spl57_3
  <=> neq(sK55,nil) ),
    introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).

fof(f553,plain,
    ( neq(sK55,nil)
    | ~ spl57_3 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f554,plain,
    ( spl57_3
    | ~ spl57_2 ),
    inference(avatar_split_clause,[],[f501,f546,f551]) ).

fof(f556,definition,
    ( spl57_4
  <=> segmentP(sK54,sK53) ),
    introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ segmentP(sK54,sK53)
    | spl57_4 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f560,definition,
    ( spl57_5
  <=> neq(sK53,nil) ),
    introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).

fof(f562,plain,
    ( ~ neq(sK53,nil)
    | spl57_5 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( ~ spl57_4
    | ~ spl57_5 ),
    inference(avatar_split_clause,[],[f502,f560,f556]) ).

fof(f574,definition,
    ( spl57_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl57_8])],[avatar_definition]) ).

fof(f575,plain,
    ( ssList(nil)
    | ~ spl57_8 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f607,plain,
    spl57_8,
    inference(avatar_split_clause,[],[f389,f574]) ).

fof(f609,plain,
    neq(sK56,nil),
    inference(superposition,[],[f504,f506]) ).

fof(f611,plain,
    spl57_2,
    inference(avatar_split_clause,[],[f609,f546]) ).

fof(f612,plain,
    ( ~ neq(sK55,nil)
    | spl57_5 ),
    inference(forward_demodulation,[],[f562,f505]) ).

fof(f613,plain,
    ( $false
    | ~ spl57_3
    | spl57_5 ),
    inference(forward_subsumption_resolution,[],[f612,f553]) ).

fof(f614,plain,
    ( ~ spl57_3
    | spl57_5 ),
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f615,plain,
    ( ~ segmentP(sK54,sK55)
    | spl57_4 ),
    inference(forward_demodulation,[],[f558,f505]) ).

fof(f617,plain,
    ( ~ segmentP(sK56,sK55)
    | spl57_4 ),
    inference(forward_demodulation,[],[f615,f506]) ).

fof(f863,plain,
    ( sK56 = app(sK12(sK56,sK55),sK55)
    | ~ ssList(sK55)
    | ~ ssList(sK56)
    | ~ spl57_1 ),
    inference(resolution,[],[f312,f544]) ).

fof(f868,plain,
    ( sK56 = app(sK12(sK56,sK55),sK55)
    | ~ ssList(sK56)
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f863,f498]) ).

fof(f872,plain,
    ( sK56 = app(sK12(sK56,sK55),sK55)
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f868,f499]) ).

fof(f880,definition,
    ( spl57_20
  <=> ssList(sK12(sK56,sK55)) ),
    introduced(definition,[new_symbols(definition,[spl57_20])],[avatar_definition]) ).

fof(f881,plain,
    ( ssList(sK12(sK56,sK55))
    | ~ spl57_20 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f882,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | spl57_20 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f897,plain,
    ( ~ rearsegP(sK56,sK55)
    | ~ ssList(sK55)
    | ~ ssList(sK56)
    | spl57_20 ),
    inference(resolution,[],[f882,f313]) ).

fof(f898,plain,
    ( ~ ssList(sK55)
    | ~ ssList(sK56)
    | ~ spl57_1
    | spl57_20 ),
    inference(forward_subsumption_resolution,[],[f897,f544]) ).

fof(f899,plain,
    ( ~ ssList(sK56)
    | ~ spl57_1
    | spl57_20 ),
    inference(forward_subsumption_resolution,[],[f898,f498]) ).

fof(f900,plain,
    ( $false
    | ~ spl57_1
    | spl57_20 ),
    inference(forward_subsumption_resolution,[],[f899,f499]) ).

fof(f901,plain,
    ( ~ spl57_1
    | spl57_20 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f1737,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X1)
      | ~ ssList(app(X0,X1)) ),
    inference(superposition,[],[f512,f482]) ).

fof(f1738,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X1) ),
    inference(duplicate_literal_removal,[],[f1737]) ).

fof(f1747,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X1) ),
    inference(forward_subsumption_resolution,[],[f1738,f401]) ).

fof(f1754,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl57_8 ),
    inference(forward_subsumption_resolution,[],[f1747,f575]) ).

fof(f2283,plain,
    ( segmentP(sK56,sK55)
    | ~ ssList(sK55)
    | ~ ssList(sK12(sK56,sK55))
    | ~ spl57_1
    | ~ spl57_8 ),
    inference(superposition,[],[f1754,f872]) ).

fof(f2298,plain,
    ( ~ ssList(sK55)
    | ~ ssList(sK12(sK56,sK55))
    | ~ spl57_1
    | spl57_4
    | ~ spl57_8 ),
    inference(forward_subsumption_resolution,[],[f2283,f617]) ).

fof(f2307,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | ~ spl57_1
    | spl57_4
    | ~ spl57_8 ),
    inference(forward_subsumption_resolution,[],[f2298,f498]) ).

fof(f2314,plain,
    ( $false
    | ~ spl57_1
    | spl57_4
    | ~ spl57_8
    | ~ spl57_20 ),
    inference(forward_subsumption_resolution,[],[f2307,f881]) ).

fof(f2315,plain,
    ( ~ spl57_1
    | spl57_4
    | ~ spl57_8
    | ~ spl57_20 ),
    inference(avatar_contradiction_clause,[],[f2314]) ).

cnf(s1,plain,
    ( spl57_1
    | ~ spl57_2 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s2,plain,
    ( ~ spl57_2
    | spl57_3 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s3,plain,
    ( ~ spl57_4
    | ~ spl57_5 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s13,plain,
    spl57_8,
    inference(sat_conversion,[],[f607]) ).

cnf(s14,plain,
    spl57_2,
    inference(sat_conversion,[],[f611]) ).

cnf(s15,plain,
    ( ~ spl57_3
    | spl57_5 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s22,plain,
    ( ~ spl57_1
    | spl57_20 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s71,plain,
    ( ~ spl57_1
    | spl57_4
    | ~ spl57_8
    | ~ spl57_20 ),
    inference(sat_conversion,[],[f2315]) ).

cnf(s76,plain,
    spl57_3,
    inference(rat,[],[s2,s14]) ).

cnf(s77,plain,
    spl57_5,
    inference(rat,[],[s15,s76]) ).

cnf(s78,plain,
    ~ spl57_4,
    inference(rat,[],[s3,s77]) ).

cnf(s80,plain,
    spl57_1,
    inference(rat,[],[s1,s14]) ).

cnf(s81,plain,
    ~ spl57_20,
    inference(rat,[],[s71,s78,s13,s80]) ).

cnf(s83,plain,
    $false,
    inference(rat,[],[s22,s81,s80]) ).

fof(f2316,plain,
    $false,
    inference(avatar_sat_refutation,[],[s83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC122+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43  % Computer : n009.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 28 07:59:45 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.17/0.44  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.96/1.71  % (2874745)Detected formulas, will run a generic FOF schedule.
% 3.96/1.71  % (2874750)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2437656383:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.96/1.71  % (2874752)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3576659223:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.96/1.71  % (2874751)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2705954252:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.96/1.71  % (2874753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4058101271:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.96/1.71  % (2874754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3607530311:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.96/1.71  % (2874755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=611185091:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.96/1.71  % (2874756)dis-21_1_sil=8000:lcm=predicate:random_seed=1780003614:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.96/1.71  % (2874755)First to succeed.
% 3.96/1.71  % (2874755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2874745"
% 3.96/1.71  % (2874754)Instruction limit reached! 
% 3.96/1.71  % (2874754)------------------------------
% 3.96/1.71  % (2874754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.71  % (2874754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.71  % (2874754)CaDiCaL version: 2.1.3
% 3.96/1.71  % (2874754)Termination reason: Instruction limit
% 3.96/1.71  % (2874754)Termination phase: Saturation
% 3.96/1.71  % (2874754)Time elapsed: 0.093 s
% 3.96/1.71  % (2874754)Peak memory usage: 88 MB
% 3.96/1.71  % (2874754)Instructions burned: 119 (million)
% 3.96/1.71  % (2874753)Instruction limit reached! 
% 3.96/1.71  % (2874753)------------------------------
% 3.96/1.71  % (2874753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.71  % (2874753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.71  % (2874753)CaDiCaL version: 2.1.3
% 3.96/1.71  % (2874753)Termination reason: Instruction limit
% 3.96/1.71  % (2874753)Termination phase: Saturation
% 3.96/1.71  % (2874753)Time elapsed: 0.105 s
% 3.96/1.71  % (2874753)Peak memory usage: 89 MB
% 3.96/1.71  % (2874753)Instructions burned: 109 (million)
% 3.96/1.71  % (2874756)Instruction limit reached! 
% 3.96/1.71  % (2874756)------------------------------
% 3.96/1.71  % (2874756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.71  % (2874756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.71  % (2874756)CaDiCaL version: 2.1.3
% 3.96/1.71  % (2874756)Termination reason: Instruction limit
% 3.96/1.71  % (2874756)Termination phase: Saturation
% 3.96/1.71  % (2874756)Time elapsed: 0.121 s
% 3.96/1.71  % (2874756)Peak memory usage: 90 MB
% 3.96/1.71  % (2874756)Instructions burned: 129 (million)
% 3.96/1.71  % (2874764)lrs+10_1_sil=8000:sp=occurrence:random_seed=414486998:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.96/1.71  % (2874765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2410503975:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.96/1.71  % (2874766)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3712376541:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.96/1.71  % (2874755)Refutation found. Thanks to Tanya!
% 3.96/1.71  % SZS status Theorem for theBenchmark
% 3.96/1.71  % SZS output start Proof for theBenchmark
% See solution above
% 5.96/1.93  % (2874755)------------------------------
% 5.96/1.93  % (2874755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.93  % (2874755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.93  % (2874755)CaDiCaL version: 2.1.3
% 5.96/1.93  % (2874755)Termination reason: Refutation
% 5.96/1.93  % (2874755)Time elapsed: 0.074 s
% 5.96/1.93  % (2874755)Peak memory usage: 91 MB
% 5.96/1.93  % (2874755)Instructions burned: 73 (million)
% 5.96/1.93  % (2874755)------------------------------
% 5.96/1.93  % (2874755)------------------------------
% 5.96/1.93  % (2874745)Success in time 0.733 s
% 5.96/1.93  % Vampire exiting
%------------------------------------------------------------------------------