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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC223+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:03:00 PM UTC 2026

% Result   : Theorem 3.00s 1.08s
% Output   : Refutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (  10 unt;   0 def)
%            Number of atoms       :  320 (  73 equ)
%            Maximal formula atoms :   25 (   5 avg)
%            Number of connectives :  432 ( 173   ~; 173   |;  69   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :  120 (  90   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/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)
                                      | ~ leq(X4,X7)
                                      | leq(X7,X4) ) ) ) ) )
                    | ? [X8] :
                        ( ssItem(X8)
                        & ? [X9] :
                            ( ssList(X9)
                            & ? [X10] :
                                ( ssList(X10)
                                & app(app(X9,cons(X8,nil)),X10) = X2
                                & ? [X11] :
                                    ( ssItem(X11)
                                    & ( ( ~ leq(X8,X11)
                                        & memberP(X10,X11) )
                                      | ( ~ leq(X11,X8)
                                        & memberP(X9,X11) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | 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)
                                        | ~ leq(X4,X7)
                                        | leq(X7,X4) ) ) ) ) )
                      | ? [X8] :
                          ( ssItem(X8)
                          & ? [X9] :
                              ( ssList(X9)
                              & ? [X10] :
                                  ( ssList(X10)
                                  & app(app(X9,cons(X8,nil)),X10) = X2
                                  & ? [X11] :
                                      ( ssItem(X11)
                                      & ( ( ~ leq(X8,X11)
                                          & memberP(X10,X11) )
                                        | ( ~ leq(X11,X8)
                                          & memberP(X9,X11) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

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

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [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] :
                                  ( memberP(X5,X7)
                                  & memberP(X6,X7)
                                  & leq(X4,X7)
                                  & ~ leq(X7,X4)
                                  & ssItem(X7) ) ) ) )
                  & ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | ! [X10] :
                              ( ~ ssList(X10)
                              | app(app(X9,cons(X8,nil)),X10) != X2
                              | ! [X11] :
                                  ( ~ ssItem(X11)
                                  | ( ( leq(X8,X11)
                                      | ~ memberP(X10,X11) )
                                    & ( leq(X11,X8)
                                      | ~ memberP(X9,X11) ) ) ) ) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f101,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f102,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f101]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f115,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f127,plain,
    ( sK1 = sK3
    & sK0 = sK2
    & nil != sK0
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ~ ssList(X5)
            | ! [X6] :
                ( ~ ssList(X6)
                | app(app(X5,cons(X4,nil)),X6) != sK0
                | ( memberP(X5,sK4(X4,X5,X6))
                  & memberP(X6,sK4(X4,X5,X6))
                  & leq(X4,sK4(X4,X5,X6))
                  & ~ leq(sK4(X4,X5,X6),X4)
                  & ssItem(sK4(X4,X5,X6)) ) ) ) )
    & ! [X8] :
        ( ~ ssItem(X8)
        | ! [X9] :
            ( ~ ssList(X9)
            | ! [X10] :
                ( ~ ssList(X10)
                | app(app(X9,cons(X8,nil)),X10) != sK2
                | ! [X11] :
                    ( ~ ssItem(X11)
                    | ( ( leq(X8,X11)
                        | ~ memberP(X10,X11) )
                      & ( leq(X11,X8)
                        | ~ memberP(X9,X11) ) ) ) ) ) )
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X7,sK4(X4,X5,X6))],[f99]) ).

fof(f129,plain,
    ! [X0] :
      ( nil = X0
      | ( ssList(sK7(X0))
        & ssItem(sK8(X0))
        & cons(sK8(X0),sK7(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X2,sK8(X0))],[f102]) ).

fof(f141,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f127]) ).

fof(f145,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,[],[f127]) ).

fof(f149,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,[],[f127]) ).

fof(f150,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f127]) ).

fof(f151,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f127]) ).

fof(f157,plain,
    ! [X0] :
      ( cons(sK8(X0),sK7(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f158,plain,
    ! [X0] :
      ( ssItem(sK8(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f159,plain,
    ! [X0] :
      ( ssList(sK7(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f172,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f175,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f190,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f150,f151]) ).

fof(f191,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK2
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | memberP(X5,sK4(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f149,f151]) ).

fof(f195,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK2
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | ssItem(sK4(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f145,f151]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( sK2 != app(cons(X0,nil),X1)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | memberP(nil,sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f191,f172]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( sK2 != app(cons(X0,nil),X1)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ssItem(sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f195,f172]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( sK2 != app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ssItem(sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(forward_subsumption_resolution,[],[f223,f175]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( sK2 != app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | memberP(nil,sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(forward_subsumption_resolution,[],[f219,f175]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK2
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ssItem(sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(superposition,[],[f230,f169]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK2
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | memberP(nil,sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(superposition,[],[f234,f169]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK2
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | memberP(nil,sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK2
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ssItem(sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f312,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssList(sK7(X0))
      | ~ ssItem(sK8(X0))
      | ssItem(sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f305,f157]) ).

fof(f313,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssItem(sK8(X0))
      | ssItem(sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f312,f159]) ).

fof(f314,plain,
    ! [X0] :
      ( sK2 != X0
      | ssItem(sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f313,f158]) ).

fof(f319,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssList(sK7(X0))
      | ~ ssItem(sK8(X0))
      | memberP(nil,sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f301,f157]) ).

fof(f320,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssItem(sK8(X0))
      | memberP(nil,sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f319,f159]) ).

fof(f321,plain,
    ! [X0] :
      ( sK2 != X0
      | memberP(nil,sK4(sK8(X0),nil,sK7(X0)))
      | ~ ssList(cons(sK8(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f320,f158]) ).

fof(f340,plain,
    ( ssItem(sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil))
    | nil = sK2
    | ~ ssList(sK2) ),
    inference(equality_resolution,[],[f314]) ).

fof(f341,plain,
    ( ssItem(sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil))
    | ~ ssList(sK2) ),
    inference(forward_subsumption_resolution,[],[f340,f190]) ).

fof(f342,plain,
    ( ssItem(sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil)) ),
    inference(forward_subsumption_resolution,[],[f341,f141]) ).

fof(f354,plain,
    ( memberP(nil,sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil))
    | nil = sK2
    | ~ ssList(sK2) ),
    inference(equality_resolution,[],[f321]) ).

fof(f355,plain,
    ( memberP(nil,sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil))
    | ~ ssList(sK2) ),
    inference(forward_subsumption_resolution,[],[f354,f190]) ).

fof(f356,plain,
    ( memberP(nil,sK4(sK8(sK2),nil,sK7(sK2)))
    | ~ ssList(cons(sK8(sK2),nil)) ),
    inference(forward_subsumption_resolution,[],[f355,f141]) ).

fof(f375,plain,
    ( ~ ssList(cons(sK8(sK2),nil))
    | ~ ssItem(sK4(sK8(sK2),nil,sK7(sK2))) ),
    inference(resolution,[],[f356,f176]) ).

fof(f376,plain,
    ~ ssList(cons(sK8(sK2),nil)),
    inference(forward_subsumption_resolution,[],[f375,f342]) ).

fof(f395,plain,
    ( ~ ssItem(sK8(sK2))
    | ~ ssList(nil) ),
    inference(resolution,[],[f376,f163]) ).

fof(f396,plain,
    ~ ssItem(sK8(sK2)),
    inference(forward_subsumption_resolution,[],[f395,f175]) ).

fof(f397,plain,
    ( nil = sK2
    | ~ ssList(sK2) ),
    inference(resolution,[],[f396,f158]) ).

fof(f398,plain,
    ~ ssList(sK2),
    inference(forward_subsumption_resolution,[],[f397,f190]) ).

fof(f399,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f398,f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC223+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n026.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 08:35:42 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/1.08  % (3699244)Detected formulas, will run a generic FOF schedule.
% 3.00/1.08  % (3699250)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=3384899979:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.08  % (3699249)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=983526479:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.08  % (3699255)dis-21_1_sil=8000:lcm=predicate:random_seed=2409215150: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)
% 3.00/1.08  % (3699253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4024947169:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.08  % (3699252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2267484850:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.08  % (3699251)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=3591169201:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.08  % (3699254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1810547073:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.08  % (3699253)First to succeed.
% 3.00/1.08  % (3699253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3699244"
% 3.00/1.08  % (3699252)Instruction limit reached! 
% 3.00/1.08  % (3699252)------------------------------
% 3.00/1.08  % (3699252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.08  % (3699252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.08  % (3699252)CaDiCaL version: 2.1.3
% 3.00/1.08  % (3699252)Termination reason: Instruction limit
% 3.00/1.08  % (3699252)Termination phase: Saturation
% 3.00/1.08  % (3699252)Time elapsed: 0.071 s
% 3.00/1.08  % (3699252)Peak memory usage: 89 MB
% 3.00/1.08  % (3699252)Instructions burned: 110 (million)
% 3.00/1.08  % (3699255)Instruction limit reached! 
% 3.00/1.08  % (3699255)------------------------------
% 3.00/1.08  % (3699255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.08  % (3699255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.08  % (3699255)CaDiCaL version: 2.1.3
% 3.00/1.08  % (3699255)Termination reason: Instruction limit
% 3.00/1.08  % (3699255)Termination phase: Saturation
% 3.00/1.08  % (3699255)Time elapsed: 0.071 s
% 3.00/1.08  % (3699255)Peak memory usage: 91 MB
% 3.00/1.08  % (3699255)Instructions burned: 131 (million)
% 3.00/1.08  % (3699254)Instruction limit reached! 
% 3.00/1.08  % (3699254)------------------------------
% 3.00/1.08  % (3699254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.08  % (3699254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.08  % (3699254)CaDiCaL version: 2.1.3
% 3.00/1.08  % (3699254)Termination reason: Instruction limit
% 3.00/1.08  % (3699254)Termination phase: Saturation
% 3.00/1.08  % (3699254)Time elapsed: 0.094 s
% 3.00/1.08  % (3699254)Peak memory usage: 90 MB
% 3.00/1.08  % (3699254)Instructions burned: 140 (million)
% 3.00/1.08  % (3699263)lrs+10_1_sil=8000:sp=occurrence:random_seed=519730908:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.00/1.08  % (3699264)lrs+10_1_sil=32000:urr=on:br=off:random_seed=327343044:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.00/1.08  % (3699265)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1264720482:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.00/1.08  % (3699265)Also succeeded, but the first one will report.
% 3.00/1.08  % (3699253)Refutation found. Thanks to Tanya!
% 3.00/1.08  % SZS status Theorem for theBenchmark
% 3.00/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.17  % (3699253)------------------------------
% 3.47/1.17  % (3699253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17  % (3699253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17  % (3699253)CaDiCaL version: 2.1.3
% 3.47/1.17  % (3699253)Termination reason: Refutation
% 3.47/1.17  % (3699253)Time elapsed: 0.009 s
% 3.47/1.17  % (3699253)Peak memory usage: 88 MB
% 3.47/1.17  % (3699253)Instructions burned: 13 (million)
% 3.47/1.17  % (3699253)------------------------------
% 3.47/1.17  % (3699253)------------------------------
% 3.47/1.17  % (3699244)Success in time 0.415 s
% 3.47/1.17  % Vampire exiting
%------------------------------------------------------------------------------