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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC075+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 : n016.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 01:04:33 PM UTC 2026

% Result   : Theorem 6.29s 1.43s
% Output   : Refutation 6.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  176 (  30 unt;  11 def)
%            Number of atoms       :  538 ( 110 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  653 ( 291   ~; 286   |;  27   &)
%                                         (  19 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  135 (   0 sgn 121   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

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

fof(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(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(f79,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X2,X1) = app(X0,X1)
               => X2 = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

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
                  | ? [X4] :
                      ( ssList(X4)
                      & neq(X4,nil)
                      & segmentP(X1,X4)
                      & segmentP(X0,X4) )
                  | ! [X5] :
                      ( ssList(X5)
                     => ! [X6] :
                          ( ~ ssList(X6)
                          | app(X5,X6) != X3
                          | app(X6,X5) != X2 ) )
                  | ( nil = X1
                    & nil = X0 ) ) ) ) ),
    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
                    | ? [X4] :
                        ( ssList(X4)
                        & neq(X4,nil)
                        & segmentP(X1,X4)
                        & segmentP(X0,X4) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ~ ssList(X6)
                            | app(X5,X6) != X3
                            | app(X6,X5) != X2 ) )
                    | ( nil = X1
                      & nil = X0 ) ) ) ) ),
    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(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(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(f194,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = X0
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = X0
              | app(X2,X1) != app(X0,X1)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f194]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

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
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ neq(X4,nil)
                      | ~ segmentP(X1,X4)
                      | ~ segmentP(X0,X4) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( ssList(X6)
                          & app(X5,X6) = X3
                          & app(X6,X5) = X2 )
                      & ssList(X5) )
                  & ( nil != X1
                    | nil != X0 ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | app(X1,sK5(X0,X1)) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f101]) ).

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

fof(f236,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

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(f302,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

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(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(f389,plain,
    ! [X2,X0,X1] :
      ( app(X2,X1) != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f195]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != X0
      | nil != X1
      | nil = app(X0,X1) ),
    inference(cnf_transformation,[],[f200]) ).

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

fof(f410,plain,
    sK49 = app(sK52,sK51),
    inference(cnf_transformation,[],[f221]) ).

fof(f411,plain,
    sK50 = app(sK51,sK52),
    inference(cnf_transformation,[],[f221]) ).

fof(f412,plain,
    ssList(sK52),
    inference(cnf_transformation,[],[f221]) ).

fof(f413,plain,
    ! [X4] :
      ( ~ segmentP(sK47,X4)
      | ~ segmentP(sK48,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f414,plain,
    ssList(sK51),
    inference(cnf_transformation,[],[f221]) ).

fof(f415,plain,
    ( nil != sK47
    | nil != sK48 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f416,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f221]) ).

fof(f417,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f221]) ).

fof(f418,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f221]) ).

fof(f419,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f221]) ).

fof(f424,plain,
    ( nil != sK49
    | nil != sK50 ),
    inference(definition_unfolding,[],[f415,f416,f417]) ).

fof(f425,plain,
    ! [X4] :
      ( ~ segmentP(sK49,X4)
      | ~ segmentP(sK50,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f413,f416,f417]) ).

fof(f429,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | frontsegP(app(X1,X2),X1) ),
    inference(equality_resolution,[],[f236]) ).

fof(f431,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(f448,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | ~ ssList(X1)
      | nil != X1
      | nil = app(nil,X1) ),
    inference(equality_resolution,[],[f395]) ).

fof(f449,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f448]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f302]) ).

fof(f511,plain,
    ! [X4] :
      ( ~ segmentP(sK50,X4)
      | ~ segmentP(sK49,X4)
      | neq(X4,nil)
      | ~ ssList(X4) ),
    inference(consistent_polarity_flipping,[],[f425]) ).

fof(f513,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f449]) ).

fof(f520,definition,
    ( spl53_1
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl53_1])],[avatar_definition]) ).

fof(f522,plain,
    ( nil != sK50
    | spl53_1 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f524,definition,
    ( spl53_2
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl53_2])],[avatar_definition]) ).

fof(f526,plain,
    ( nil != sK49
    | spl53_2 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f527,plain,
    ( ~ spl53_1
    | ~ spl53_2 ),
    inference(avatar_split_clause,[],[f424,f524,f520]) ).

fof(f529,definition,
    ( spl53_3
  <=> nil = app(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl53_3])],[avatar_definition]) ).

fof(f531,plain,
    ( nil = app(nil,nil)
    | ~ spl53_3 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f533,definition,
    ( spl53_4
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl53_4])],[avatar_definition]) ).

fof(f534,plain,
    ( ssList(nil)
    | ~ spl53_4 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f536,plain,
    ( spl53_3
    | ~ spl53_4 ),
    inference(avatar_split_clause,[],[f513,f533,f529]) ).

fof(f562,plain,
    spl53_4,
    inference(avatar_split_clause,[],[f305,f533]) ).

fof(f563,plain,
    ( ~ ssList(sK50)
    | ~ segmentP(sK49,sK50)
    | neq(sK50,nil)
    | ~ ssList(sK50) ),
    inference(resolution,[],[f356,f511]) ).

fof(f564,plain,
    ( ~ ssList(sK50)
    | ~ segmentP(sK49,sK50)
    | neq(sK50,nil) ),
    inference(duplicate_literal_removal,[],[f563]) ).

fof(f565,plain,
    ( ~ segmentP(sK49,sK50)
    | neq(sK50,nil) ),
    inference(forward_subsumption_resolution,[],[f564,f418]) ).

fof(f567,definition,
    ( spl53_10
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl53_10])],[avatar_definition]) ).

fof(f569,plain,
    ( neq(sK50,nil)
    | ~ spl53_10 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f571,definition,
    ( spl53_11
  <=> segmentP(sK49,sK50) ),
    introduced(definition,[new_symbols(definition,[spl53_11])],[avatar_definition]) ).

fof(f574,plain,
    ( spl53_10
    | ~ spl53_11 ),
    inference(avatar_split_clause,[],[f565,f571,f567]) ).

fof(f609,plain,
    sK52 = app(nil,sK52),
    inference(resolution,[],[f319,f412]) ).

fof(f626,plain,
    sK49 = app(sK49,nil),
    inference(resolution,[],[f396,f419]) ).

fof(f627,plain,
    sK50 = app(sK50,nil),
    inference(resolution,[],[f396,f418]) ).

fof(f765,definition,
    ( spl53_15
  <=> nil = sK52 ),
    introduced(definition,[new_symbols(definition,[spl53_15])],[avatar_definition]) ).

fof(f766,plain,
    ( nil != sK52
    | spl53_15 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f767,plain,
    ( nil = sK52
    | ~ spl53_15 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f774,definition,
    ( spl53_17
  <=> nil = sK51 ),
    introduced(definition,[new_symbols(definition,[spl53_17])],[avatar_definition]) ).

fof(f776,plain,
    ( nil = sK51
    | ~ spl53_17 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f846,plain,
    ( sK49 = app(nil,sK51)
    | ~ spl53_15 ),
    inference(superposition,[],[f410,f767]) ).

fof(f1069,plain,
    ( nil != sK50
    | ~ ssList(sK52)
    | nil = sK51
    | ~ ssList(sK51) ),
    inference(superposition,[],[f393,f411]) ).

fof(f1127,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f429,f317]) ).

fof(f1140,plain,
    ( frontsegP(sK49,sK52)
    | ~ ssList(sK51)
    | ~ ssList(sK52) ),
    inference(superposition,[],[f1127,f410]) ).

fof(f1145,plain,
    ( frontsegP(sK49,sK52)
    | ~ ssList(sK52) ),
    inference(forward_subsumption_resolution,[],[f1140,f414]) ).

fof(f1150,plain,
    frontsegP(sK49,sK52),
    inference(forward_subsumption_resolution,[],[f1145,f412]) ).

fof(f1156,plain,
    ( ~ ssList(sK52)
    | ssList(sK5(sK49,sK52))
    | ~ ssList(sK49) ),
    inference(resolution,[],[f1150,f235]) ).

fof(f1157,plain,
    ( ssList(sK5(sK49,sK52))
    | ~ ssList(sK49) ),
    inference(forward_subsumption_resolution,[],[f1156,f412]) ).

fof(f1159,plain,
    ssList(sK5(sK49,sK52)),
    inference(forward_subsumption_resolution,[],[f1157,f419]) ).

fof(f1278,plain,
    ( ~ ssList(sK52)
    | sK49 = app(sK52,sK5(sK49,sK52))
    | ~ ssList(sK49) ),
    inference(resolution,[],[f234,f1150]) ).

fof(f1285,plain,
    ( sK49 = app(sK52,sK5(sK49,sK52))
    | ~ ssList(sK49) ),
    inference(forward_subsumption_resolution,[],[f1278,f412]) ).

fof(f1290,plain,
    sK49 = app(sK52,sK5(sK49,sK52)),
    inference(forward_subsumption_resolution,[],[f1285,f419]) ).

fof(f1545,plain,
    ! [X0] :
      ( sK50 != app(X0,sK52)
      | ~ ssList(sK52)
      | ~ ssList(X0)
      | ~ ssList(sK51)
      | sK51 = X0 ),
    inference(superposition,[],[f389,f411]) ).

fof(f1556,plain,
    ! [X0] :
      ( sK50 != app(X0,sK52)
      | ~ ssList(X0)
      | ~ ssList(sK51)
      | sK51 = X0 ),
    inference(forward_subsumption_resolution,[],[f1545,f412]) ).

fof(f1576,plain,
    ! [X0] :
      ( sK50 != app(X0,sK52)
      | ~ ssList(X0)
      | sK51 = X0 ),
    inference(forward_subsumption_resolution,[],[f1556,f414]) ).

fof(f1839,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(f1843,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X1,X0),X2),X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f1839]) ).

fof(f1873,plain,
    ! [X0] :
      ( ~ ssList(app(sK50,X0))
      | ~ ssList(sK52)
      | ~ ssList(X0)
      | ~ ssList(sK51)
      | segmentP(app(sK50,X0),sK52) ),
    inference(superposition,[],[f431,f411]) ).

fof(f1875,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(sK51)
      | ~ ssList(X0)
      | ~ ssList(sK52)
      | segmentP(app(sK49,X0),sK51) ),
    inference(superposition,[],[f431,f410]) ).

fof(f1879,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(X0)
      | ~ ssList(sK52)
      | segmentP(app(sK49,X0),sK51) ),
    inference(forward_subsumption_resolution,[],[f1875,f414]) ).

fof(f1880,plain,
    ! [X0] :
      ( ~ ssList(app(sK50,X0))
      | ~ ssList(X0)
      | ~ ssList(sK51)
      | segmentP(app(sK50,X0),sK52) ),
    inference(forward_subsumption_resolution,[],[f1873,f412]) ).

fof(f1886,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(X0)
      | segmentP(app(sK49,X0),sK51) ),
    inference(forward_subsumption_resolution,[],[f1879,f412]) ).

fof(f1887,plain,
    ! [X0] :
      ( ~ ssList(app(sK50,X0))
      | ~ ssList(X0)
      | segmentP(app(sK50,X0),sK52) ),
    inference(forward_subsumption_resolution,[],[f1880,f414]) ).

fof(f2705,plain,
    ( sK49 = app(nil,nil)
    | ~ spl53_15
    | ~ spl53_17 ),
    inference(forward_demodulation,[],[f846,f776]) ).

fof(f2718,plain,
    ( nil = sK49
    | ~ spl53_3
    | ~ spl53_15
    | ~ spl53_17 ),
    inference(forward_demodulation,[],[f2705,f531]) ).

fof(f2726,plain,
    ( $false
    | spl53_2
    | ~ spl53_3
    | ~ spl53_15
    | ~ spl53_17 ),
    inference(forward_subsumption_resolution,[],[f2718,f526]) ).

fof(f2727,plain,
    ( spl53_2
    | ~ spl53_3
    | ~ spl53_15
    | ~ spl53_17 ),
    inference(avatar_contradiction_clause,[],[f2726]) ).

fof(f2738,plain,
    ( nil != sK50
    | nil = sK51
    | ~ ssList(sK51) ),
    inference(forward_subsumption_resolution,[],[f1069,f412]) ).

fof(f2739,plain,
    ( nil != sK50
    | nil = sK51 ),
    inference(forward_subsumption_resolution,[],[f2738,f414]) ).

fof(f2740,plain,
    ( spl53_17
    | ~ spl53_1 ),
    inference(avatar_split_clause,[],[f2739,f520,f774]) ).

fof(f2831,plain,
    ( ! [X0] :
        ( app(X0,nil) != sK50
        | ~ ssList(X0)
        | sK51 = X0 )
    | ~ spl53_15 ),
    inference(forward_demodulation,[],[f1576,f767]) ).

fof(f2857,definition,
    ( spl53_179
  <=> sK50 = sK51 ),
    introduced(definition,[new_symbols(definition,[spl53_179])],[avatar_definition]) ).

fof(f2859,plain,
    ( sK50 = sK51
    | ~ spl53_179 ),
    inference(avatar_component_clause,[],[f2857]) ).

fof(f3537,plain,
    ( sK50 != sK50
    | ~ ssList(sK50)
    | sK50 = sK51
    | ~ spl53_15 ),
    inference(superposition,[],[f2831,f627]) ).

fof(f3539,plain,
    ( ~ ssList(sK50)
    | sK50 = sK51
    | ~ spl53_15 ),
    inference(trivial_inequality_removal,[],[f3537]) ).

fof(f3541,plain,
    ( sK50 = sK51
    | ~ spl53_15 ),
    inference(forward_subsumption_resolution,[],[f3539,f418]) ).

fof(f3544,plain,
    ( spl53_179
    | ~ spl53_15 ),
    inference(avatar_split_clause,[],[f3541,f765,f2857]) ).

fof(f3600,plain,
    ( ~ ssList(sK49)
    | ~ ssList(nil)
    | segmentP(sK49,sK51) ),
    inference(superposition,[],[f1886,f626]) ).

fof(f3602,plain,
    ( ~ ssList(nil)
    | segmentP(sK49,sK51) ),
    inference(forward_subsumption_resolution,[],[f3600,f419]) ).

fof(f3604,plain,
    ( segmentP(sK49,sK51)
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f3602,f534]) ).

fof(f5440,plain,
    ( segmentP(sK49,sK50)
    | ~ spl53_4
    | ~ spl53_179 ),
    inference(forward_demodulation,[],[f3604,f2859]) ).

fof(f5443,plain,
    ( spl53_11
    | ~ spl53_4
    | ~ spl53_179 ),
    inference(avatar_split_clause,[],[f5440,f2857,f533,f571]) ).

fof(f5444,plain,
    ( ~ ssList(nil)
    | nil = sK50
    | ~ ssList(sK50)
    | ~ spl53_10 ),
    inference(resolution,[],[f569,f481]) ).

fof(f5447,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | ~ spl53_4
    | ~ spl53_10 ),
    inference(forward_subsumption_resolution,[],[f5444,f534]) ).

fof(f5457,plain,
    ( ~ ssList(sK50)
    | spl53_1
    | ~ spl53_4
    | ~ spl53_10 ),
    inference(forward_subsumption_resolution,[],[f5447,f522]) ).

fof(f5458,plain,
    ( $false
    | spl53_1
    | ~ spl53_4
    | ~ spl53_10 ),
    inference(forward_subsumption_resolution,[],[f5457,f418]) ).

fof(f5459,plain,
    ( spl53_1
    | ~ spl53_4
    | ~ spl53_10 ),
    inference(avatar_contradiction_clause,[],[f5458]) ).

fof(f6191,plain,
    ( ~ ssList(sK50)
    | ~ ssList(nil)
    | segmentP(sK50,sK52) ),
    inference(superposition,[],[f1887,f627]) ).

fof(f6193,plain,
    ( ~ ssList(nil)
    | segmentP(sK50,sK52) ),
    inference(forward_subsumption_resolution,[],[f6191,f418]) ).

fof(f6195,plain,
    ( segmentP(sK50,sK52)
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f6193,f534]) ).

fof(f7158,plain,
    ( ~ segmentP(sK49,sK52)
    | neq(sK52,nil)
    | ~ ssList(sK52)
    | ~ spl53_4 ),
    inference(resolution,[],[f6195,f511]) ).

fof(f7171,plain,
    ( ~ segmentP(sK49,sK52)
    | neq(sK52,nil)
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f7158,f412]) ).

fof(f7179,definition,
    ( spl53_505
  <=> neq(sK52,nil) ),
    introduced(definition,[new_symbols(definition,[spl53_505])],[avatar_definition]) ).

fof(f7181,plain,
    ( neq(sK52,nil)
    | ~ spl53_505 ),
    inference(avatar_component_clause,[],[f7179]) ).

fof(f7183,definition,
    ( spl53_506
  <=> segmentP(sK49,sK52) ),
    introduced(definition,[new_symbols(definition,[spl53_506])],[avatar_definition]) ).

fof(f7186,plain,
    ( spl53_505
    | ~ spl53_506
    | ~ spl53_4 ),
    inference(avatar_split_clause,[],[f7171,f533,f7183,f7179]) ).

fof(f10796,plain,
    ! [X0] :
      ( segmentP(app(sK52,X0),sK52)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(sK52) ),
    inference(superposition,[],[f1843,f609]) ).

fof(f10819,plain,
    ( ! [X0] :
        ( segmentP(app(sK52,X0),sK52)
        | ~ ssList(X0)
        | ~ ssList(sK52) )
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f10796,f534]) ).

fof(f10833,plain,
    ( ! [X0] :
        ( segmentP(app(sK52,X0),sK52)
        | ~ ssList(X0) )
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f10819,f412]) ).

fof(f46019,plain,
    ( segmentP(sK49,sK52)
    | ~ ssList(sK5(sK49,sK52))
    | ~ spl53_4 ),
    inference(superposition,[],[f10833,f1290]) ).

fof(f46040,plain,
    ( segmentP(sK49,sK52)
    | ~ spl53_4 ),
    inference(forward_subsumption_resolution,[],[f46019,f1159]) ).

fof(f46042,plain,
    ( spl53_506
    | ~ spl53_4 ),
    inference(avatar_split_clause,[],[f46040,f533,f7183]) ).

fof(f46110,plain,
    ( ~ ssList(nil)
    | nil = sK52
    | ~ ssList(sK52)
    | ~ spl53_505 ),
    inference(resolution,[],[f7181,f481]) ).

fof(f46113,plain,
    ( nil = sK52
    | ~ ssList(sK52)
    | ~ spl53_4
    | ~ spl53_505 ),
    inference(forward_subsumption_resolution,[],[f46110,f534]) ).

fof(f46119,plain,
    ( ~ ssList(sK52)
    | ~ spl53_4
    | spl53_15
    | ~ spl53_505 ),
    inference(forward_subsumption_resolution,[],[f46113,f766]) ).

fof(f46120,plain,
    ( $false
    | ~ spl53_4
    | spl53_15
    | ~ spl53_505 ),
    inference(forward_subsumption_resolution,[],[f46119,f412]) ).

fof(f46121,plain,
    ( ~ spl53_4
    | spl53_15
    | ~ spl53_505 ),
    inference(avatar_contradiction_clause,[],[f46120]) ).

cnf(s1,plain,
    ( ~ spl53_1
    | ~ spl53_2 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s2,plain,
    ( spl53_3
    | ~ spl53_4 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s10,plain,
    spl53_4,
    inference(sat_conversion,[],[f562]) ).

cnf(s11,plain,
    ( spl53_10
    | ~ spl53_11 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s189,plain,
    ( spl53_2
    | ~ spl53_3
    | ~ spl53_15
    | ~ spl53_17 ),
    inference(sat_conversion,[],[f2727]) ).

cnf(s192,plain,
    ( ~ spl53_1
    | spl53_17 ),
    inference(sat_conversion,[],[f2740]) ).

cnf(s409,plain,
    ( ~ spl53_15
    | spl53_179 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s588,plain,
    ( ~ spl53_4
    | spl53_11
    | ~ spl53_179 ),
    inference(sat_conversion,[],[f5443]) ).

cnf(s590,plain,
    ( spl53_1
    | ~ spl53_4
    | ~ spl53_10 ),
    inference(sat_conversion,[],[f5459]) ).

cnf(s796,plain,
    ( ~ spl53_4
    | spl53_505
    | ~ spl53_506 ),
    inference(sat_conversion,[],[f7186]) ).

cnf(s5372,plain,
    ( ~ spl53_4
    | spl53_506 ),
    inference(sat_conversion,[],[f46042]) ).

cnf(s5382,plain,
    ( ~ spl53_4
    | spl53_15
    | ~ spl53_505 ),
    inference(sat_conversion,[],[f46121]) ).

cnf(s5427,plain,
    spl53_506,
    inference(rat,[],[s5372,s10]) ).

cnf(s5433,plain,
    spl53_505,
    inference(rat,[],[s796,s5427,s10]) ).

cnf(s5435,plain,
    spl53_15,
    inference(rat,[],[s5382,s10,s5433]) ).

cnf(s5437,plain,
    spl53_179,
    inference(rat,[],[s409,s5435]) ).

cnf(s5440,plain,
    spl53_11,
    inference(rat,[],[s588,s10,s5437]) ).

cnf(s5441,plain,
    spl53_10,
    inference(rat,[],[s11,s5440]) ).

cnf(s5442,plain,
    spl53_1,
    inference(rat,[],[s590,s10,s5441]) ).

cnf(s5443,plain,
    spl53_17,
    inference(rat,[],[s192,s5442]) ).

cnf(s5454,plain,
    spl53_3,
    inference(rat,[],[s2,s10]) ).

cnf(s5455,plain,
    spl53_2,
    inference(rat,[],[s189,s5443,s5435,s5454]) ).

cnf(s5456,plain,
    $false,
    inference(rat,[],[s1,s5455,s5442]) ).

fof(f46122,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5456]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC075+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  % Computer : n016.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 07:49:03 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43  Running first-order model finding
% 0.13/0.43  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
% 6.29/1.43  % (3459746)Will run a generic schedule for satisfiability detection.
% 6.29/1.43  % (3459751)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2030759055_2999 on theBenchmark for (2999ds/0Mi)
% 6.29/1.43  % (3459752)% WARNING: option uhcvi not known.
% 6.29/1.43  % (3459752)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2332865924:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.29/1.43  % (3459753)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3077439707:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.29/1.43  % (3459754)dis+10_1_sil=32000:sp=arity:random_seed=3453537422:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.29/1.43  % (3459756)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=805324079:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.29/1.43  % (3459755)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4004397649:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.29/1.43  % (3459757)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=766884365:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.29/1.43  % TRYING [1]
% 6.29/1.43  % TRYING [2]
% 6.29/1.43  % TRYING [3]
% 6.29/1.43  % TRYING [4]
% 6.29/1.43  % TRYING [5]
% 6.29/1.43  % (3459754)Instruction limit reached! 
% 6.29/1.43  % (3459754)------------------------------
% 6.29/1.43  % (3459754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459754)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459754)Termination reason: Instruction limit
% 6.29/1.43  % (3459754)Termination phase: Saturation
% 6.29/1.43  % (3459754)Time elapsed: 0.060 s
% 6.29/1.43  % (3459754)Peak memory usage: 13 MB
% 6.29/1.43  % (3459754)Instructions burned: 103 (million)
% 6.29/1.43  % (3459755)Instruction limit reached! 
% 6.29/1.43  % (3459755)------------------------------
% 6.29/1.43  % (3459755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459755)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459755)Termination reason: Instruction limit
% 6.29/1.43  % (3459755)Termination phase: Saturation
% 6.29/1.43  % (3459755)Time elapsed: 0.068 s
% 6.29/1.43  % (3459755)Peak memory usage: 13 MB
% 6.29/1.43  % (3459755)Instructions burned: 116 (million)
% 6.29/1.43  % (3459756)Instruction limit reached! 
% 6.29/1.43  % (3459756)------------------------------
% 6.29/1.43  % (3459756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459756)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459756)Termination reason: Instruction limit
% 6.29/1.43  % (3459756)Termination phase: Saturation
% 6.29/1.43  % (3459756)Time elapsed: 0.077 s
% 6.29/1.43  % (3459756)Peak memory usage: 14 MB
% 6.29/1.43  % (3459756)Instructions burned: 131 (million)
% 6.29/1.43  % (3459765)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2746391722:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.29/1.43  % (3459766)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2362894435:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.29/1.43  % TRYING [1]
% 6.29/1.43  % TRYING [2]
% 6.29/1.43  % (3459767)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=3947199144:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.29/1.43  % (3459757)Instruction limit reached! 
% 6.29/1.43  % (3459757)------------------------------
% 6.29/1.43  % (3459757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459757)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459757)Termination reason: Instruction limit
% 6.29/1.43  % (3459757)Termination phase: Saturation
% 6.29/1.43  % (3459757)Time elapsed: 0.097 s
% 6.29/1.43  % (3459757)Peak memory usage: 15 MB
% 6.29/1.43  % (3459757)Instructions burned: 160 (million)
% 6.29/1.43  % TRYING [3]
% 6.29/1.43  % TRYING [6]
% 6.29/1.43  % TRYING [4]
% 6.29/1.43  % (3459771)ott-21_1_sil=16000:fs=off:random_seed=1332922953:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.29/1.43  % (3459766)Instruction limit reached! 
% 6.29/1.43  % (3459766)------------------------------
% 6.29/1.43  % (3459766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459766)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459766)Termination reason: Instruction limit
% 6.29/1.43  % (3459766)Termination phase: Saturation
% 6.29/1.43  % (3459766)Time elapsed: 0.071 s
% 6.29/1.43  % (3459766)Peak memory usage: 13 MB
% 6.29/1.43  % (3459766)Instructions burned: 132 (million)
% 6.29/1.43  % TRYING [5]
% 6.29/1.43  % (3459773)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=983384253:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.29/1.43  % (3459771)Instruction limit reached! 
% 6.29/1.43  % (3459771)------------------------------
% 6.29/1.43  % (3459771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459771)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459771)Termination reason: Instruction limit
% 6.29/1.43  % (3459771)Termination phase: Saturation
% 6.29/1.43  % (3459771)Time elapsed: 0.088 s
% 6.29/1.43  % (3459771)Peak memory usage: 13 MB
% 6.29/1.43  % (3459771)Instructions burned: 181 (million)
% 6.29/1.43  % (3459775)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2927707486:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.29/1.43  % TRYING [1]
% 6.29/1.43  % TRYING [2]
% 6.29/1.43  % TRYING [3]
% 6.29/1.43  % TRYING [7]
% 6.29/1.43  % TRYING [4]
% 6.29/1.43  % TRYING [6]
% 6.29/1.43  % (3459765)Instruction limit reached! 
% 6.29/1.43  % (3459765)------------------------------
% 6.29/1.43  % (3459765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459765)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459765)Termination reason: Instruction limit
% 6.29/1.43  % (3459765)Termination phase: Finite model building constraint generation
% 6.29/1.43  % (3459765)Time elapsed: 0.298 s
% 6.29/1.43  % (3459765)Peak memory usage: 28 MB
% 6.29/1.43  % (3459765)Instructions burned: 715 (million)
% 6.29/1.43  % TRYING [5]
% 6.29/1.43  % (3459777)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=249112405:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.29/1.43  % (3459767)Instruction limit reached! 
% 6.29/1.43  % (3459767)------------------------------
% 6.29/1.43  % (3459767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459767)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459767)Termination reason: Instruction limit
% 6.29/1.43  % (3459767)Termination phase: Saturation
% 6.29/1.43  % (3459767)Time elapsed: 0.357 s
% 6.29/1.43  % (3459767)Peak memory usage: 23 MB
% 6.29/1.43  % (3459767)Instructions burned: 685 (million)
% 6.29/1.43  % (3459779)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=892682046:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.29/1.43  % (3459773)Instruction limit reached! 
% 6.29/1.43  % (3459773)------------------------------
% 6.29/1.43  % (3459773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459773)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459773)Termination reason: Instruction limit
% 6.29/1.43  % (3459773)Termination phase: Saturation
% 6.29/1.43  % (3459773)Time elapsed: 0.323 s
% 6.29/1.43  % (3459773)Peak memory usage: 15 MB
% 6.29/1.43  % (3459773)Instructions burned: 478 (million)
% 6.29/1.43  % (3459781)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=126053936: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)
% 6.29/1.43  % TRYING [14]
% 6.29/1.43  % (3459775)Instruction limit reached! 
% 6.29/1.43  % (3459775)------------------------------
% 6.29/1.43  % (3459775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459775)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459775)Termination reason: Instruction limit
% 6.29/1.43  % (3459775)Termination phase: Finite model building SAT solving
% 6.29/1.43  % (3459775)Time elapsed: 0.355 s
% 6.29/1.43  % (3459775)Peak memory usage: 23 MB
% 6.29/1.43  % (3459775)Instructions burned: 866 (million)
% 6.29/1.43  % (3459783)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3877286102:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.29/1.43  % TRYING [8]
% 6.29/1.43  % (3459779)Instruction limit reached! 
% 6.29/1.43  % (3459779)------------------------------
% 6.29/1.43  % (3459779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459779)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459779)Termination reason: Instruction limit
% 6.29/1.43  % (3459779)Termination phase: Finite model building constraint generation
% 6.29/1.43  % (3459779)Time elapsed: 0.322 s
% 6.29/1.43  % (3459779)Peak memory usage: 70 MB
% 6.29/1.43  % (3459779)Instructions burned: 892 (million)
% 6.29/1.43  % (3459785)fmb+10_1_sil=64000:random_seed=2194597136:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.29/1.43  % TRYING [1]
% 6.29/1.43  % TRYING [2]
% 6.29/1.43  % TRYING [3]
% 6.29/1.43  % (3459781)Instruction limit reached! 
% 6.29/1.43  % (3459781)------------------------------
% 6.29/1.43  % (3459781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459781)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459781)Termination reason: Instruction limit
% 6.29/1.43  % (3459781)Termination phase: Saturation
% 6.29/1.43  % (3459781)Time elapsed: 0.347 s
% 6.29/1.43  % (3459781)Peak memory usage: 23 MB
% 6.29/1.43  % (3459781)Instructions burned: 693 (million)
% 6.29/1.43  % TRYING [4]
% 6.29/1.43  % (3459787)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2722469656:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.29/1.43  % TRYING [20]
% 6.29/1.43  % (3459752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3459746-3459752"...
% 6.29/1.43  % (3459752)...printing done.
% 6.29/1.43  % (3459752)Refutation found. Thanks to Tanya!
% 6.29/1.43  % SZS status Theorem for theBenchmark
% 6.29/1.43  % SZS output start Proof for theBenchmark
% See solution above
% 6.29/1.43  % (3459752)------------------------------
% 6.29/1.43  % (3459752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/1.43  % (3459752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.43  % (3459752)CaDiCaL version: 2.1.3
% 6.29/1.43  % (3459752)Termination reason: Refutation
% 6.29/1.43  % (3459752)Time elapsed: 0.932 s
% 6.29/1.43  % (3459752)Peak memory usage: 37 MB
% 6.29/1.43  % (3459752)Instructions burned: 1781 (million)
% 6.29/1.43  % (3459746)Success in time 0.99 s
% 6.29/1.43  % Vampire exiting
%------------------------------------------------------------------------------