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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC246+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 : n014.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 01:03:07 PM UTC 2026

% Result   : Theorem 5.41s 1.42s
% Output   : Refutation 6.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  128 (  25 unt;  13 def)
%            Number of atoms       :  504 (  98 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  653 ( 277   ~; 278   |;  70   &)
%                                         (  13 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  14 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :  125 (   0 sgn  94   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

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

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
        | ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssItem(X2)
                & cons(X2,X1) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | nil = X0
                  | ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ~ memberP(X5,X7)
                                  | ~ memberP(X6,X7)
                                  | ~ lt(X4,X7)
                                  | leq(X4,X7) ) ) ) )
                  | ! [X8] :
                      ( ssList(X8)
                     => ! [X9] :
                          ( ~ ssList(X9)
                          | app(app(X8,X2),X9) != X3
                          | ~ equalelemsP(X2)
                          | ? [X10] :
                              ( ssItem(X10)
                              & ? [X11] :
                                  ( ssList(X11)
                                  & app(X11,cons(X10,nil)) = X8
                                  & ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X10,nil),X12) = X2 ) ) )
                          | ? [X13] :
                              ( ssItem(X13)
                              & ? [X14] :
                                  ( ssList(X14)
                                  & app(cons(X13,nil),X14) = X9
                                  & ? [X15] :
                                      ( ssList(X15)
                                      & app(X15,cons(X13,nil)) = X2 ) ) ) ) )
                  | ( nil != X3
                    & nil = 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 = X0
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7) ) ) ) )
                    | ! [X8] :
                        ( ssList(X8)
                       => ! [X9] :
                            ( ~ ssList(X9)
                            | app(app(X8,X2),X9) != X3
                            | ~ equalelemsP(X2)
                            | ? [X10] :
                                ( ssItem(X10)
                                & ? [X11] :
                                    ( ssList(X11)
                                    & app(X11,cons(X10,nil)) = X8
                                    & ? [X12] :
                                        ( ssList(X12)
                                        & app(cons(X10,nil),X12) = X2 ) ) )
                            | ? [X13] :
                                ( ssItem(X13)
                                & ? [X14] :
                                    ( ssList(X14)
                                    & app(cons(X13,nil),X14) = X9
                                    & ? [X15] :
                                        ( ssList(X15)
                                        & app(X15,cons(X13,nil)) = X2 ) ) ) ) )
                    | ( nil != X3
                      & nil = X2 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & X1 = X3
                  & X0 = X2
                  & nil != X0
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X5,cons(X4,nil)),X6) != X0
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & memberP(X5,X7)
                                  & memberP(X6,X7)
                                  & lt(X4,X7)
                                  & ~ leq(X4,X7) ) ) ) )
                  & ? [X8] :
                      ( ? [X9] :
                          ( ssList(X9)
                          & app(app(X8,X2),X9) = X3
                          & equalelemsP(X2)
                          & ! [X10] :
                              ( ~ ssItem(X10)
                              | ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(X11,cons(X10,nil)) != X8
                                  | ! [X12] :
                                      ( ~ ssList(X12)
                                      | app(cons(X10,nil),X12) != X2 ) ) )
                          & ! [X13] :
                              ( ~ ssItem(X13)
                              | ! [X14] :
                                  ( ~ ssList(X14)
                                  | app(cons(X13,nil),X14) != X9
                                  | ! [X15] :
                                      ( ~ ssList(X15)
                                      | app(X15,cons(X13,nil)) != X2 ) ) ) )
                      & ssList(X8) )
                  & ( nil = X3
                    | nil != X2 ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f100,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f101,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f100]) ).

fof(f105,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f109,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f114,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f139,plain,
    ( ssList(sK3)
    & sK1 = sK3
    & sK0 = sK2
    & nil != sK0
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ~ ssList(X5)
            | ! [X6] :
                ( ~ ssList(X6)
                | app(app(X5,cons(X4,nil)),X6) != sK0
                | ( ssItem(sK4(X4,X5,X6))
                  & memberP(X5,sK4(X4,X5,X6))
                  & memberP(X6,sK4(X4,X5,X6))
                  & lt(X4,sK4(X4,X5,X6))
                  & ~ leq(X4,sK4(X4,X5,X6)) ) ) ) )
    & ssList(sK6)
    & sK3 = app(app(sK5,sK2),sK6)
    & equalelemsP(sK2)
    & ! [X10] :
        ( ~ ssItem(X10)
        | ! [X11] :
            ( ~ ssList(X11)
            | app(X11,cons(X10,nil)) != sK5
            | ! [X12] :
                ( ~ ssList(X12)
                | app(cons(X10,nil),X12) != sK2 ) ) )
    & ! [X13] :
        ( ~ ssItem(X13)
        | ! [X14] :
            ( ~ ssList(X14)
            | app(cons(X13,nil),X14) != sK6
            | ! [X15] :
                ( ~ ssList(X15)
                | app(X15,cons(X13,nil)) != sK2 ) ) )
    & ssList(sK5)
    & ( nil = sK3
      | nil != sK2 )
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X7,sK4(X4,X5,X6)),skolemize(X8,sK5),skolemize(X9,sK6)],[f98]) ).

fof(f141,plain,
    ! [X0] :
      ( nil = X0
      | ( ssList(sK9(X0))
        & ssItem(sK10(X0))
        & cons(sK10(X0),sK9(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0))],[f101]) ).

fof(f156,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f139]) ).

fof(f169,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK0
      | memberP(X5,sK4(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f170,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK0
      | ssItem(sK4(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f171,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f139]) ).

fof(f172,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f139]) ).

fof(f179,plain,
    ! [X0] :
      ( nil = X0
      | cons(sK10(X0),sK9(X0)) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f180,plain,
    ! [X0] :
      ( nil = X0
      | ssItem(sK10(X0))
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f181,plain,
    ! [X0] :
      ( nil = X0
      | ssList(sK9(X0))
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f194,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f197,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f229,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f171,f172]) ).

fof(f230,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK2
      | ssItem(sK4(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f170,f172]) ).

fof(f231,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK2
      | memberP(X5,sK4(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f169,f172]) ).

fof(f236,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f156,f172]) ).

fof(f251,definition,
    ( spl19_1
  <=> ssList(sK2) ),
    introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).

fof(f253,plain,
    ( ssList(sK2)
    | ~ spl19_1 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,plain,
    spl19_1,
    inference(avatar_split_clause,[],[f236,f251]) ).

fof(f256,plain,
    ( nil = sK2
    | sK2 = cons(sK10(sK2),sK9(sK2))
    | ~ spl19_1 ),
    inference(resolution,[],[f253,f179]) ).

fof(f257,plain,
    ( nil = sK2
    | ssItem(sK10(sK2))
    | ~ spl19_1 ),
    inference(resolution,[],[f253,f180]) ).

fof(f258,plain,
    ( nil = sK2
    | ssList(sK9(sK2))
    | ~ spl19_1 ),
    inference(resolution,[],[f253,f181]) ).

fof(f309,plain,
    ( ssList(sK9(sK2))
    | ~ spl19_1 ),
    inference(forward_subsumption_resolution,[],[f258,f229]) ).

fof(f310,plain,
    ( ssItem(sK10(sK2))
    | ~ spl19_1 ),
    inference(forward_subsumption_resolution,[],[f257,f229]) ).

fof(f311,plain,
    ( sK2 = cons(sK10(sK2),sK9(sK2))
    | ~ spl19_1 ),
    inference(forward_subsumption_resolution,[],[f256,f229]) ).

fof(f463,definition,
    ( spl19_5
  <=> ! [X6,X4,X5] :
        ( ~ ssItem(X4)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | app(app(X5,cons(X4,nil)),X6) != sK2
        | ssItem(sK4(X4,X5,X6)) ) ),
    introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X6,X4,X5] :
        ( app(app(X5,cons(X4,nil)),X6) != sK2
        | ~ ssList(X5)
        | ~ ssList(X6)
        | ~ ssItem(X4)
        | ssItem(sK4(X4,X5,X6)) )
    | ~ spl19_5 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    spl19_5,
    inference(avatar_split_clause,[],[f230,f463]) ).

fof(f481,definition,
    ( spl19_6
  <=> sK2 = cons(sK10(sK2),sK9(sK2)) ),
    introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).

fof(f483,plain,
    ( sK2 = cons(sK10(sK2),sK9(sK2))
    | ~ spl19_6 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,plain,
    ( spl19_6
    | ~ spl19_1 ),
    inference(avatar_split_clause,[],[f311,f251,f481]) ).

fof(f583,definition,
    ( spl19_14
  <=> ssList(sK9(sK2)) ),
    introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).

fof(f585,plain,
    ( ssList(sK9(sK2))
    | ~ spl19_14 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f586,plain,
    ( spl19_14
    | ~ spl19_1 ),
    inference(avatar_split_clause,[],[f309,f251,f583]) ).

fof(f605,plain,
    ( ! [X0] :
        ( cons(X0,sK9(sK2)) = app(cons(X0,nil),sK9(sK2))
        | ~ ssItem(X0) )
    | ~ spl19_14 ),
    inference(resolution,[],[f585,f191]) ).

fof(f640,definition,
    ( spl19_15
  <=> ! [X0] :
        ( cons(X0,sK9(sK2)) = app(cons(X0,nil),sK9(sK2))
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).

fof(f641,plain,
    ( ! [X0] :
        ( cons(X0,sK9(sK2)) = app(cons(X0,nil),sK9(sK2))
        | ~ ssItem(X0) )
    | ~ spl19_15 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f642,plain,
    ( spl19_15
    | ~ spl19_14 ),
    inference(avatar_split_clause,[],[f605,f583,f640]) ).

fof(f670,definition,
    ( spl19_16
  <=> ! [X6,X4,X5] :
        ( ~ ssItem(X4)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | app(app(X5,cons(X4,nil)),X6) != sK2
        | memberP(X5,sK4(X4,X5,X6)) ) ),
    introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X6,X4,X5] :
        ( app(app(X5,cons(X4,nil)),X6) != sK2
        | ~ ssList(X5)
        | ~ ssList(X6)
        | ~ ssItem(X4)
        | memberP(X5,sK4(X4,X5,X6)) )
    | ~ spl19_16 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    spl19_16,
    inference(avatar_split_clause,[],[f231,f670]) ).

fof(f678,definition,
    ( spl19_18
  <=> ssItem(sK10(sK2)) ),
    introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).

fof(f680,plain,
    ( ssItem(sK10(sK2))
    | ~ spl19_18 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( spl19_18
    | ~ spl19_1 ),
    inference(avatar_split_clause,[],[f310,f251,f678]) ).

fof(f1142,definition,
    ( spl19_35
  <=> ssList(cons(sK10(sK2),nil)) ),
    introduced(definition,[new_symbols(definition,[spl19_35])],[avatar_definition]) ).

fof(f1143,plain,
    ( ssList(cons(sK10(sK2),nil))
    | ~ spl19_35 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1144,plain,
    ( ~ ssList(cons(sK10(sK2),nil))
    | spl19_35 ),
    inference(avatar_component_clause,[],[f1142]) ).

fof(f1149,plain,
    ( ~ ssItem(sK10(sK2))
    | ~ ssList(nil)
    | spl19_35 ),
    inference(resolution,[],[f1144,f185]) ).

fof(f1160,plain,
    ( ~ ssList(nil)
    | ~ spl19_18
    | spl19_35 ),
    inference(forward_subsumption_resolution,[],[f1149,f680]) ).

fof(f1161,plain,
    ( $false
    | ~ spl19_18
    | spl19_35 ),
    inference(forward_subsumption_resolution,[],[f1160,f197]) ).

fof(f1162,plain,
    ( ~ spl19_18
    | spl19_35 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1202,plain,
    ( cons(sK10(sK2),nil) = app(nil,cons(sK10(sK2),nil))
    | ~ spl19_35 ),
    inference(resolution,[],[f1143,f194]) ).

fof(f1235,definition,
    ( spl19_37
  <=> cons(sK10(sK2),nil) = app(nil,cons(sK10(sK2),nil)) ),
    introduced(definition,[new_symbols(definition,[spl19_37])],[avatar_definition]) ).

fof(f1237,plain,
    ( cons(sK10(sK2),nil) = app(nil,cons(sK10(sK2),nil))
    | ~ spl19_37 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1238,plain,
    ( spl19_37
    | ~ spl19_35 ),
    inference(avatar_split_clause,[],[f1202,f1142,f1235]) ).

fof(f1244,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(nil)
        | ~ ssList(X0)
        | ~ ssItem(sK10(sK2))
        | ssItem(sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_5
    | ~ spl19_37 ),
    inference(superposition,[],[f464,f1237]) ).

fof(f1246,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(nil)
        | ~ ssList(X0)
        | ~ ssItem(sK10(sK2))
        | memberP(nil,sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_16
    | ~ spl19_37 ),
    inference(superposition,[],[f671,f1237]) ).

fof(f1275,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | ~ ssItem(sK10(sK2))
        | memberP(nil,sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_16
    | ~ spl19_37 ),
    inference(forward_subsumption_resolution,[],[f1246,f197]) ).

fof(f1277,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | ~ ssItem(sK10(sK2))
        | ssItem(sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_5
    | ~ spl19_37 ),
    inference(forward_subsumption_resolution,[],[f1244,f197]) ).

fof(f1287,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | memberP(nil,sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_16
    | ~ spl19_18
    | ~ spl19_37 ),
    inference(forward_subsumption_resolution,[],[f1275,f680]) ).

fof(f1289,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | ssItem(sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_5
    | ~ spl19_18
    | ~ spl19_37 ),
    inference(forward_subsumption_resolution,[],[f1277,f680]) ).

fof(f1304,definition,
    ( spl19_41
  <=> ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | memberP(nil,sK4(sK10(sK2),nil,X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl19_41])],[avatar_definition]) ).

fof(f1305,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | memberP(nil,sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_41 ),
    inference(avatar_component_clause,[],[f1304]) ).

fof(f1306,plain,
    ( spl19_41
    | ~ spl19_16
    | ~ spl19_18
    | ~ spl19_37 ),
    inference(avatar_split_clause,[],[f1287,f1235,f678,f670,f1304]) ).

fof(f1405,plain,
    ( sK2 != cons(sK10(sK2),sK9(sK2))
    | ~ ssList(sK9(sK2))
    | memberP(nil,sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_15
    | ~ spl19_41 ),
    inference(superposition,[],[f1305,f641]) ).

fof(f1408,plain,
    ( ~ ssList(sK9(sK2))
    | memberP(nil,sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_6
    | ~ spl19_15
    | ~ spl19_41 ),
    inference(forward_subsumption_resolution,[],[f1405,f483]) ).

fof(f1411,plain,
    ( memberP(nil,sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_41 ),
    inference(forward_subsumption_resolution,[],[f1408,f585]) ).

fof(f1413,plain,
    ( memberP(nil,sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | ~ spl19_41 ),
    inference(forward_subsumption_resolution,[],[f1411,f680]) ).

fof(f1415,definition,
    ( spl19_44
  <=> memberP(nil,sK4(sK10(sK2),nil,sK9(sK2))) ),
    introduced(definition,[new_symbols(definition,[spl19_44])],[avatar_definition]) ).

fof(f1417,plain,
    ( memberP(nil,sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ spl19_44 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1418,plain,
    ( spl19_44
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | ~ spl19_41 ),
    inference(avatar_split_clause,[],[f1413,f1304,f678,f640,f583,f481,f1415]) ).

fof(f1419,plain,
    ( ~ ssItem(sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ spl19_44 ),
    inference(resolution,[],[f1417,f198]) ).

fof(f1511,definition,
    ( spl19_45
  <=> ssItem(sK4(sK10(sK2),nil,sK9(sK2))) ),
    introduced(definition,[new_symbols(definition,[spl19_45])],[avatar_definition]) ).

fof(f1513,plain,
    ( ~ ssItem(sK4(sK10(sK2),nil,sK9(sK2)))
    | spl19_45 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1514,plain,
    ( ~ spl19_45
    | ~ spl19_44 ),
    inference(avatar_split_clause,[],[f1419,f1415,f1511]) ).

fof(f1873,definition,
    ( spl19_61
  <=> ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | ssItem(sK4(sK10(sK2),nil,X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl19_61])],[avatar_definition]) ).

fof(f1874,plain,
    ( ! [X0] :
        ( sK2 != app(cons(sK10(sK2),nil),X0)
        | ~ ssList(X0)
        | ssItem(sK4(sK10(sK2),nil,X0)) )
    | ~ spl19_61 ),
    inference(avatar_component_clause,[],[f1873]) ).

fof(f1875,plain,
    ( spl19_61
    | ~ spl19_5
    | ~ spl19_18
    | ~ spl19_37 ),
    inference(avatar_split_clause,[],[f1289,f1235,f678,f463,f1873]) ).

fof(f1884,plain,
    ( sK2 != cons(sK10(sK2),sK9(sK2))
    | ~ ssList(sK9(sK2))
    | ssItem(sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_15
    | ~ spl19_61 ),
    inference(superposition,[],[f1874,f641]) ).

fof(f1887,plain,
    ( ~ ssList(sK9(sK2))
    | ssItem(sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_6
    | ~ spl19_15
    | ~ spl19_61 ),
    inference(forward_subsumption_resolution,[],[f1884,f483]) ).

fof(f1890,plain,
    ( ssItem(sK4(sK10(sK2),nil,sK9(sK2)))
    | ~ ssItem(sK10(sK2))
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_61 ),
    inference(forward_subsumption_resolution,[],[f1887,f585]) ).

fof(f1892,plain,
    ( ~ ssItem(sK10(sK2))
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | spl19_45
    | ~ spl19_61 ),
    inference(forward_subsumption_resolution,[],[f1890,f1513]) ).

fof(f1893,plain,
    ( $false
    | ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | spl19_45
    | ~ spl19_61 ),
    inference(forward_subsumption_resolution,[],[f1892,f680]) ).

fof(f1894,plain,
    ( ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | spl19_45
    | ~ spl19_61 ),
    inference(avatar_contradiction_clause,[],[f1893]) ).

cnf(s1,plain,
    spl19_1,
    inference(sat_conversion,[],[f254]) ).

cnf(s5,plain,
    spl19_5,
    inference(sat_conversion,[],[f465]) ).

cnf(s6,plain,
    ( ~ spl19_1
    | spl19_6 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s14,plain,
    ( ~ spl19_1
    | spl19_14 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s15,plain,
    ( ~ spl19_14
    | spl19_15 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s16,plain,
    spl19_16,
    inference(sat_conversion,[],[f672]) ).

cnf(s18,plain,
    ( ~ spl19_1
    | spl19_18 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s36,plain,
    ( ~ spl19_18
    | spl19_35 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s37,plain,
    ( ~ spl19_35
    | spl19_37 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s40,plain,
    ( ~ spl19_16
    | ~ spl19_18
    | ~ spl19_37
    | spl19_41 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s47,plain,
    ( ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | ~ spl19_41
    | spl19_44 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s48,plain,
    ( ~ spl19_44
    | ~ spl19_45 ),
    inference(sat_conversion,[],[f1514]) ).

cnf(s62,plain,
    ( ~ spl19_5
    | ~ spl19_18
    | ~ spl19_37
    | spl19_61 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s63,plain,
    ( ~ spl19_6
    | ~ spl19_14
    | ~ spl19_15
    | ~ spl19_18
    | spl19_45
    | ~ spl19_61 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s69,plain,
    spl19_18,
    inference(rat,[],[s18,s1]) ).

cnf(s70,plain,
    spl19_14,
    inference(rat,[],[s14,s1]) ).

cnf(s71,plain,
    spl19_6,
    inference(rat,[],[s6,s1]) ).

cnf(s76,plain,
    spl19_35,
    inference(rat,[],[s36,s69]) ).

cnf(s81,plain,
    spl19_15,
    inference(rat,[],[s15,s70]) ).

cnf(s92,plain,
    spl19_37,
    inference(rat,[],[s37,s76]) ).

cnf(s100,plain,
    spl19_41,
    inference(rat,[],[s40,s69,s16,s92]) ).

cnf(s101,plain,
    spl19_61,
    inference(rat,[],[s62,s69,s5,s92]) ).

cnf(s102,plain,
    spl19_44,
    inference(rat,[],[s47,s81,s71,s69,s70,s100]) ).

cnf(s103,plain,
    spl19_45,
    inference(rat,[],[s63,s81,s71,s69,s70,s101]) ).

cnf(s104,plain,
    $false,
    inference(rat,[],[s48,s103,s102]) ).

fof(f1895,plain,
    $false,
    inference(avatar_sat_refutation,[],[s104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC246+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n014.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 08:39:31 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  Running first-order theorem proving
% 0.09/0.20  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
% 5.41/1.42  % (1636063)Detected formulas, will run a generic FOF schedule.
% 5.41/1.42  % (1636070)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=178245784:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.41/1.42  % (1636073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=576778284:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.41/1.42  % (1636072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1421868120:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.41/1.42  % (1636071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=85597034:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.41/1.42  % (1636069)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=4185203758:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.41/1.42  % (1636074)dis-21_1_sil=8000:lcm=predicate:random_seed=3828098854: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)
% 5.41/1.42  % (1636068)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=4068999794:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.41/1.42  % (1636071)Instruction limit reached! 
% 5.41/1.42  % (1636071)------------------------------
% 5.41/1.42  % (1636071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636071)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636071)Termination reason: Instruction limit
% 5.41/1.42  % (1636071)Termination phase: Saturation
% 5.41/1.42  % (1636071)Time elapsed: 0.066 s
% 5.41/1.42  % (1636071)Peak memory usage: 89 MB
% 5.41/1.42  % (1636071)Instructions burned: 109 (million)
% 5.41/1.42  % (1636072)Instruction limit reached! 
% 5.41/1.42  % (1636072)------------------------------
% 5.41/1.42  % (1636072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636072)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636072)Termination reason: Instruction limit
% 5.41/1.42  % (1636072)Termination phase: Saturation
% 5.41/1.42  % (1636072)Time elapsed: 0.069 s
% 5.41/1.42  % (1636072)Peak memory usage: 88 MB
% 5.41/1.42  % (1636072)Instructions burned: 120 (million)
% 5.41/1.42  % (1636074)Instruction limit reached! 
% 5.41/1.42  % (1636074)------------------------------
% 5.41/1.42  % (1636074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636074)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636074)Termination reason: Instruction limit
% 5.41/1.42  % (1636074)Termination phase: Saturation
% 5.41/1.42  % (1636074)Time elapsed: 0.069 s
% 5.41/1.42  % (1636074)Peak memory usage: 91 MB
% 5.41/1.42  % (1636074)Instructions burned: 130 (million)
% 5.41/1.42  % (1636073)Instruction limit reached! 
% 5.41/1.42  % (1636073)------------------------------
% 5.41/1.42  % (1636073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636073)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636073)Termination reason: Instruction limit
% 5.41/1.42  % (1636073)Termination phase: Saturation
% 5.41/1.42  % (1636073)Time elapsed: 0.093 s
% 5.41/1.42  % (1636073)Peak memory usage: 90 MB
% 5.41/1.42  % (1636073)Instructions burned: 139 (million)
% 5.41/1.42  % (1636083)lrs+10_1_sil=32000:urr=on:br=off:random_seed=841602948:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.41/1.42  % (1636082)lrs+10_1_sil=8000:sp=occurrence:random_seed=368728057:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.41/1.42  % (1636084)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2910413575:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.41/1.42  % (1636085)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=238728650:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.41/1.42  % (1636083)Instruction limit reached! 
% 5.41/1.42  % (1636083)------------------------------
% 5.41/1.42  % (1636083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636083)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636083)Termination reason: Instruction limit
% 5.41/1.42  % (1636083)Termination phase: Saturation
% 5.41/1.42  % (1636083)Time elapsed: 0.083 s
% 5.41/1.42  % (1636083)Peak memory usage: 94 MB
% 5.41/1.42  % (1636083)Instructions burned: 158 (million)
% 5.41/1.42  % (1636085)Instruction limit reached! 
% 5.41/1.42  % (1636085)------------------------------
% 5.41/1.42  % (1636085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636085)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636085)Termination reason: Instruction limit
% 5.41/1.42  % (1636085)Termination phase: Saturation
% 5.41/1.42  % (1636085)Time elapsed: 0.121 s
% 5.41/1.42  % (1636085)Peak memory usage: 95 MB
% 5.41/1.42  % (1636085)Instructions burned: 250 (million)
% 5.41/1.42  % (1636082)Instruction limit reached! 
% 5.41/1.42  % (1636082)------------------------------
% 5.41/1.42  % (1636082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636082)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636082)Termination reason: Instruction limit
% 5.41/1.42  % (1636082)Termination phase: Saturation
% 5.41/1.42  % (1636082)Time elapsed: 0.162 s
% 5.41/1.42  % (1636082)Peak memory usage: 92 MB
% 5.41/1.42  % (1636082)Instructions burned: 286 (million)
% 5.41/1.42  % (1636084)Instruction limit reached! 
% 5.41/1.42  % (1636084)------------------------------
% 5.41/1.42  % (1636084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636084)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636084)Termination reason: Instruction limit
% 5.41/1.42  % (1636084)Termination phase: Saturation
% 5.41/1.42  % (1636084)Time elapsed: 0.197 s
% 5.41/1.42  % (1636084)Peak memory usage: 92 MB
% 5.41/1.42  % (1636084)Instructions burned: 326 (million)
% 5.41/1.42  % (1636090)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2460832493:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.41/1.42  % (1636070)First to succeed.
% 5.41/1.42  % (1636070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1636063"
% 5.41/1.42  % (1636091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=986786588:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.41/1.42  % (1636092)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4106690440:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.41/1.42  % (1636093)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2988230932:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.41/1.42  % (1636092)Instruction limit reached! 
% 5.41/1.42  % (1636092)------------------------------
% 5.41/1.42  % (1636092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636092)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636092)Termination reason: Instruction limit
% 5.41/1.42  % (1636092)Termination phase: Saturation
% 5.41/1.42  % (1636092)Time elapsed: 0.074 s
% 5.41/1.42  % (1636092)Peak memory usage: 90 MB
% 5.41/1.42  % (1636092)Instructions burned: 113 (million)
% 5.41/1.42  % (1636093)Instruction limit reached! 
% 5.41/1.42  % (1636093)------------------------------
% 5.41/1.42  % (1636093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636093)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636093)Termination reason: Instruction limit
% 5.41/1.42  % (1636093)Termination phase: Saturation
% 5.41/1.42  % (1636093)Time elapsed: 0.064 s
% 5.41/1.42  % (1636093)Peak memory usage: 89 MB
% 5.41/1.42  % (1636093)Instructions burned: 127 (million)
% 5.41/1.42  % (1636090)Instruction limit reached! 
% 5.41/1.42  % (1636090)------------------------------
% 5.41/1.42  % (1636090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.42  % (1636090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.42  % (1636090)CaDiCaL version: 2.1.3
% 5.41/1.42  % (1636090)Termination reason: Instruction limit
% 5.41/1.42  % (1636090)Termination phase: Saturation
% 5.41/1.42  % (1636090)Time elapsed: 0.172 s
% 5.41/1.42  % (1636090)Peak memory usage: 90 MB
% 5.41/1.42  % (1636090)Instructions burned: 294 (million)
% 5.41/1.42  % (1636070)Refutation found. Thanks to Tanya!
% 5.41/1.42  % SZS status Theorem for theBenchmark
% 5.41/1.42  % SZS output start Proof for theBenchmark
% See solution above
% 6.03/1.52  % (1636070)------------------------------
% 6.03/1.52  % (1636070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.52  % (1636070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.52  % (1636070)CaDiCaL version: 2.1.3
% 6.03/1.52  % (1636070)Termination reason: Refutation
% 6.03/1.52  % (1636070)Time elapsed: 0.502 s
% 6.03/1.52  % (1636070)Peak memory usage: 133 MB
% 6.03/1.52  % (1636070)Instructions burned: 1275 (million)
% 6.03/1.52  % (1636070)------------------------------
% 6.03/1.52  % (1636070)------------------------------
% 6.03/1.52  % (1636063)Success in time 0.781 s
% 6.03/1.52  % Vampire exiting
%------------------------------------------------------------------------------