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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC245+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 : 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 01:03:06 PM UTC 2026

% Result   : Theorem 3.04s 1.11s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (  10 unt;   0 def)
%            Number of atoms       :  299 (  84 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  405 ( 166   ~; 168   |;  58   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  107 (  83   !;  24   ?)

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

fof(f141,plain,
    ! [X0] :
      ( nil = X0
      | ( ssList(sK8(X0))
        & ssItem(sK9(X0))
        & cons(sK9(X0),sK8(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f101]) ).

fof(f158,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f139]) ).

fof(f167,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(f168,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(f169,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f139]) ).

fof(f170,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f139]) ).

fof(f177,plain,
    ! [X0] :
      ( cons(sK9(X0),sK8(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f178,plain,
    ! [X0] :
      ( ssItem(sK9(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f179,plain,
    ! [X0] :
      ( ssList(sK8(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f192,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f195,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f227,plain,
    nil != sK2,
    inference(definition_unfolding,[],[f169,f170]) ).

fof(f228,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,[],[f168,f170]) ).

fof(f229,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,[],[f167,f170]) ).

fof(f259,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,[],[f229,f192]) ).

fof(f260,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,[],[f228,f192]) ).

fof(f261,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,[],[f260,f195]) ).

fof(f262,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,[],[f259,f195]) ).

fof(f319,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,[],[f261,f189]) ).

fof(f320,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,[],[f262,f189]) ).

fof(f345,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,[],[f320]) ).

fof(f346,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK2
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ssItem(sK4(X0,nil,X1))
      | ~ ssList(cons(X0,nil)) ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f362,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssList(sK8(X0))
      | ~ ssItem(sK9(X0))
      | ssItem(sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f346,f177]) ).

fof(f363,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssItem(sK9(X0))
      | ssItem(sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f362,f179]) ).

fof(f364,plain,
    ! [X0] :
      ( sK2 != X0
      | ssItem(sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f363,f178]) ).

fof(f381,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssList(sK8(X0))
      | ~ ssItem(sK9(X0))
      | memberP(nil,sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f345,f177]) ).

fof(f382,plain,
    ! [X0] :
      ( sK2 != X0
      | ~ ssItem(sK9(X0))
      | memberP(nil,sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f381,f179]) ).

fof(f383,plain,
    ! [X0] :
      ( sK2 != X0
      | memberP(nil,sK4(sK9(X0),nil,sK8(X0)))
      | ~ ssList(cons(sK9(X0),nil))
      | nil = X0
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f382,f178]) ).

fof(f393,plain,
    ( ssItem(sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil))
    | nil = sK2
    | ~ ssList(sK2) ),
    inference(equality_resolution,[],[f364]) ).

fof(f394,plain,
    ( ssItem(sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil))
    | ~ ssList(sK2) ),
    inference(forward_subsumption_resolution,[],[f393,f227]) ).

fof(f395,plain,
    ( ssItem(sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil)) ),
    inference(forward_subsumption_resolution,[],[f394,f158]) ).

fof(f407,plain,
    ( memberP(nil,sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil))
    | nil = sK2
    | ~ ssList(sK2) ),
    inference(equality_resolution,[],[f383]) ).

fof(f408,plain,
    ( memberP(nil,sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil))
    | ~ ssList(sK2) ),
    inference(forward_subsumption_resolution,[],[f407,f227]) ).

fof(f409,plain,
    ( memberP(nil,sK4(sK9(sK2),nil,sK8(sK2)))
    | ~ ssList(cons(sK9(sK2),nil)) ),
    inference(forward_subsumption_resolution,[],[f408,f158]) ).

fof(f414,plain,
    ( ~ ssList(cons(sK9(sK2),nil))
    | ~ ssItem(sK4(sK9(sK2),nil,sK8(sK2))) ),
    inference(resolution,[],[f409,f196]) ).

fof(f415,plain,
    ~ ssList(cons(sK9(sK2),nil)),
    inference(forward_subsumption_resolution,[],[f414,f395]) ).

fof(f420,plain,
    ( ~ ssItem(sK9(sK2))
    | ~ ssList(nil) ),
    inference(resolution,[],[f415,f183]) ).

fof(f421,plain,
    ~ ssItem(sK9(sK2)),
    inference(forward_subsumption_resolution,[],[f420,f195]) ).

fof(f422,plain,
    ( nil = sK2
    | ~ ssList(sK2) ),
    inference(resolution,[],[f421,f178]) ).

fof(f423,plain,
    ~ ssList(sK2),
    inference(forward_subsumption_resolution,[],[f422,f227]) ).

fof(f424,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f423,f158]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC245+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n016.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Mon Sep 28 08:45:53 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  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
% 3.04/1.11  % (3483456)Detected formulas, will run a generic FOF schedule.
% 3.04/1.11  % (3483464)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4200370981:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.11  % (3483464)Instruction limit reached! 
% 3.04/1.11  % (3483464)------------------------------
% 3.04/1.11  % (3483464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (3483464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (3483464)CaDiCaL version: 2.1.3
% 3.04/1.11  % (3483464)Termination reason: Instruction limit
% 3.04/1.11  % (3483464)Termination phase: Saturation
% 3.04/1.11  % (3483464)Time elapsed: 0.038 s
% 3.04/1.11  % (3483464)Peak memory usage: 89 MB
% 3.04/1.11  % (3483464)Instructions burned: 111 (million)
% 3.04/1.11  % (3483461)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=1578740886:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.11  % (3483465)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3610181857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.11  % (3483463)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=1822829472:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.11  % (3483462)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=3885870975:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.11  % (3483465)First to succeed.
% 3.04/1.11  % (3483467)dis-21_1_sil=8000:lcm=predicate:random_seed=409454948: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)
% 3.04/1.11  % (3483466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2175012441:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.11  % (3483465)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3483456"
% 3.04/1.11  % (3483467)Instruction limit reached! 
% 3.04/1.11  % (3483467)------------------------------
% 3.04/1.11  % (3483467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (3483467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (3483467)CaDiCaL version: 2.1.3
% 3.04/1.11  % (3483467)Termination reason: Instruction limit
% 3.04/1.11  % (3483467)Termination phase: Saturation
% 3.04/1.11  % (3483467)Time elapsed: 0.071 s
% 3.04/1.11  % (3483467)Peak memory usage: 90 MB
% 3.04/1.11  % (3483467)Instructions burned: 130 (million)
% 3.04/1.11  % (3483466)Instruction limit reached! 
% 3.04/1.11  % (3483466)------------------------------
% 3.04/1.11  % (3483466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (3483466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (3483466)CaDiCaL version: 2.1.3
% 3.04/1.11  % (3483466)Termination reason: Instruction limit
% 3.04/1.11  % (3483466)Termination phase: Saturation
% 3.04/1.11  % (3483466)Time elapsed: 0.094 s
% 3.04/1.11  % (3483466)Peak memory usage: 90 MB
% 3.04/1.11  % (3483466)Instructions burned: 139 (million)
% 3.04/1.11  % (3483473)lrs+10_1_sil=8000:sp=occurrence:random_seed=1625451082:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.04/1.11  % (3483473)Instruction limit reached! 
% 3.04/1.11  % (3483473)------------------------------
% 3.04/1.11  % (3483473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (3483473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (3483473)CaDiCaL version: 2.1.3
% 3.04/1.11  % (3483473)Termination reason: Instruction limit
% 3.04/1.11  % (3483473)Termination phase: Saturation
% 3.04/1.11  % (3483473)Time elapsed: 0.090 s
% 3.04/1.11  % (3483473)Peak memory usage: 92 MB
% 3.04/1.11  % (3483473)Instructions burned: 287 (million)
% 3.04/1.11  % (3483476)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3882657145:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.11  % (3483465)Refutation found. Thanks to Tanya!
% 3.04/1.11  % SZS status Theorem for theBenchmark
% 3.04/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30  % (3483465)------------------------------
% 0.19/1.30  % (3483465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30  % (3483465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30  % (3483465)CaDiCaL version: 2.1.3
% 0.19/1.30  % (3483465)Termination reason: Refutation
% 0.19/1.30  % (3483465)Time elapsed: 0.010 s
% 0.19/1.30  % (3483465)Peak memory usage: 88 MB
% 0.19/1.30  % (3483465)Instructions burned: 13 (million)
% 0.19/1.30  % (3483465)------------------------------
% 0.19/1.30  % (3483465)------------------------------
% 0.19/1.30  % (3483456)Success in time 0.432 s
% 0.19/1.30  % Vampire exiting
%------------------------------------------------------------------------------