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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN549+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 02:00:56 PM UTC 2026

% Result   : Theorem 3.07s 1.07s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   58 (   5 unt;   2 def)
%            Number of atoms       :  262 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  330 ( 126   ~; 139   |;  55   &)
%                                         (   4 <=>;   4  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  127 (  92   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : reachable(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_reachable) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( reachable(X0,X1)
        & reachable(X1,X2) )
     => reachable(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_reachable) ).

fof(f3,conjecture,
    ? [X0] :
      ( reachable(initial_world,X0)
      & ! [X1] :
          ( reachable(X0,X1)
         => ( ? [X2] :
                ( reachable(X1,X2)
                & ( p(X2)
                  | ? [X3] :
                      ( reachable(X2,X3)
                      & q(X3) ) ) )
          <=> ( ? [X4] :
                  ( reachable(X1,X4)
                  & p(X4) )
              | ? [X4] :
                  ( reachable(X1,X4)
                  & q(X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f4,negated_conjecture,
    ~ ? [X0] :
        ( reachable(initial_world,X0)
        & ! [X1] :
            ( reachable(X0,X1)
           => ( ? [X2] :
                  ( reachable(X1,X2)
                  & ( p(X2)
                    | ? [X3] :
                        ( reachable(X2,X3)
                        & q(X3) ) ) )
            <=> ( ? [X4] :
                    ( reachable(X1,X4)
                    & p(X4) )
                | ? [X4] :
                    ( reachable(X1,X4)
                    & q(X4) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ~ ? [X0] :
        ( reachable(initial_world,X0)
        & ! [X1] :
            ( reachable(X0,X1)
           => ( ? [X2] :
                  ( reachable(X1,X2)
                  & ( p(X2)
                    | ? [X3] :
                        ( reachable(X2,X3)
                        & q(X3) ) ) )
            <=> ( ? [X4] :
                    ( reachable(X1,X4)
                    & p(X4) )
                | ? [X5] :
                    ( reachable(X1,X5)
                    & q(X5) ) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ reachable(initial_world,X0)
      | ? [X1] :
          ( ( ? [X2] :
                ( reachable(X1,X2)
                & ( p(X2)
                  | ? [X3] :
                      ( reachable(X2,X3)
                      & q(X3) ) ) )
          <~> ( ? [X4] :
                  ( reachable(X1,X4)
                  & p(X4) )
              | ? [X5] :
                  ( reachable(X1,X5)
                  & q(X5) ) ) )
          & reachable(X0,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X0,X1,X2] :
      ( reachable(X0,X2)
      | ~ reachable(X0,X1)
      | ~ reachable(X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( reachable(X0,X2)
      | ~ reachable(X0,X1)
      | ~ reachable(X1,X2) ),
    inference(flattening,[],[f7]) ).

fof(f9,definition,
    ! [X1] :
      ( sP0(X1)
    <=> ( ? [X4] :
            ( reachable(X1,X4)
            & p(X4) )
        | ? [X5] :
            ( reachable(X1,X5)
            & q(X5) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f10,definition,
    ! [X1] :
      ( ( ? [X2] :
            ( reachable(X1,X2)
            & ( p(X2)
              | ? [X3] :
                  ( reachable(X2,X3)
                  & q(X3) ) ) )
      <~> sP0(X1) )
      | ~ sP1(X1) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ reachable(initial_world,X0)
      | ? [X1] :
          ( sP1(X1)
          & reachable(X0,X1) ) ),
    inference(definition_folding,[],[f6,f10,f9]) ).

fof(f12,plain,
    ! [X1] :
      ( ( ( ~ sP0(X1)
          | ! [X2] :
              ( ~ reachable(X1,X2)
              | ( ~ p(X2)
                & ! [X3] :
                    ( ~ reachable(X2,X3)
                    | ~ q(X3) ) ) ) )
        & ( sP0(X1)
          | ? [X2] :
              ( reachable(X1,X2)
              & ( p(X2)
                | ? [X3] :
                    ( reachable(X2,X3)
                    & q(X3) ) ) ) ) )
      | ~ sP1(X1) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f13,plain,
    ! [X0] :
      ( ( ( ~ sP0(X0)
          | ! [X1] :
              ( ~ reachable(X0,X1)
              | ( ~ p(X1)
                & ! [X2] :
                    ( ~ reachable(X1,X2)
                    | ~ q(X2) ) ) ) )
        & ( sP0(X0)
          | ? [X3] :
              ( reachable(X0,X3)
              & ( p(X3)
                | ? [X4] :
                    ( reachable(X3,X4)
                    & q(X4) ) ) ) ) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ( ( ~ sP0(X0)
          | ! [X1] :
              ( ~ reachable(X0,X1)
              | ( ~ p(X1)
                & ! [X2] :
                    ( ~ reachable(X1,X2)
                    | ~ q(X2) ) ) ) )
        & ( sP0(X0)
          | ( reachable(X0,sK2(X0))
            & ( p(sK2(X0))
              | ( reachable(sK2(X0),sK3(X0))
                & q(sK3(X0)) ) ) ) ) )
      | ~ sP1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0)),skolemize(X4,sK3(X0))],[f13]) ).

fof(f15,plain,
    ! [X1] :
      ( ( sP0(X1)
        | ( ! [X4] :
              ( ~ reachable(X1,X4)
              | ~ p(X4) )
          & ! [X5] :
              ( ~ reachable(X1,X5)
              | ~ q(X5) ) ) )
      & ( ? [X4] :
            ( reachable(X1,X4)
            & p(X4) )
        | ? [X5] :
            ( reachable(X1,X5)
            & q(X5) )
        | ~ sP0(X1) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f16,plain,
    ! [X1] :
      ( ( sP0(X1)
        | ( ! [X4] :
              ( ~ reachable(X1,X4)
              | ~ p(X4) )
          & ! [X5] :
              ( ~ reachable(X1,X5)
              | ~ q(X5) ) ) )
      & ( ? [X4] :
            ( reachable(X1,X4)
            & p(X4) )
        | ? [X5] :
            ( reachable(X1,X5)
            & q(X5) )
        | ~ sP0(X1) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ! [X1] :
              ( ~ reachable(X0,X1)
              | ~ p(X1) )
          & ! [X2] :
              ( ~ reachable(X0,X2)
              | ~ q(X2) ) ) )
      & ( ? [X3] :
            ( reachable(X0,X3)
            & p(X3) )
        | ? [X4] :
            ( reachable(X0,X4)
            & q(X4) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f16]) ).

fof(f18,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( ! [X1] :
              ( ~ reachable(X0,X1)
              | ~ p(X1) )
          & ! [X2] :
              ( ~ reachable(X0,X2)
              | ~ q(X2) ) ) )
      & ( ( reachable(X0,sK4(X0))
          & p(sK4(X0)) )
        | ( reachable(X0,sK5(X0))
          & q(sK5(X0)) )
        | ~ sP0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0)),skolemize(X4,sK5(X0))],[f17]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ reachable(initial_world,X0)
      | ( sP1(sK6(X0))
        & reachable(X0,sK6(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f11]) ).

fof(f20,plain,
    ! [X0] :
      ( sP0(X0)
      | p(sK2(X0))
      | q(sK3(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f21,plain,
    ! [X0] :
      ( sP0(X0)
      | p(sK2(X0))
      | reachable(sK2(X0),sK3(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f22,plain,
    ! [X0] :
      ( reachable(X0,sK2(X0))
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f23,plain,
    ! [X2,X0,X1] :
      ( ~ reachable(X1,X2)
      | ~ reachable(X0,X1)
      | ~ sP0(X0)
      | ~ q(X2)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ sP0(X0)
      | ~ reachable(X0,X1)
      | ~ p(X1)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X0] :
      ( q(sK5(X0))
      | p(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f26,plain,
    ! [X0] :
      ( reachable(X0,sK5(X0))
      | p(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f27,plain,
    ! [X0] :
      ( reachable(X0,sK4(X0))
      | q(sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X0] :
      ( reachable(X0,sK5(X0))
      | reachable(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f29,plain,
    ! [X2,X0] :
      ( ~ reachable(X0,X2)
      | sP0(X0)
      | ~ q(X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,X1)
      | sP0(X0)
      | ~ p(X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ! [X0] :
      ( sP1(sK6(X0))
      | ~ reachable(initial_world,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( reachable(X0,X2)
      | ~ reachable(X0,X1)
      | ~ reachable(X1,X2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f34,plain,
    ! [X0] : reachable(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f39,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sP1(X0)
      | sP0(X0)
      | ~ p(sK2(X0)) ),
    inference(resolution,[],[f22,f30]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ p(sK2(X0))
      | ~ sP1(X0)
      | sP0(X0) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,X1)
      | ~ p(X1)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f24,f30]) ).

fof(f52,plain,
    ! [X0] :
      ( q(sK5(X0))
      | ~ sP0(X0)
      | ~ p(sK4(X0))
      | ~ sP1(X0) ),
    inference(resolution,[],[f27,f43]) ).

fof(f55,plain,
    ! [X0] :
      ( q(sK5(X0))
      | ~ sP0(X0)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f52,f25]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ reachable(X1,X2)
      | ~ reachable(X0,X1)
      | sP0(X0)
      | ~ q(X2) ),
    inference(resolution,[],[f33,f29]) ).

fof(f59,plain,
    ! [X0] :
      ( q(sK3(X0))
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f20,f42]) ).

fof(f63,plain,
    ! [X0] :
      ( reachable(sK2(X0),sK3(X0))
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f21,f42]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,X1)
      | ~ sP0(X0)
      | ~ q(X1)
      | ~ sP1(X0) ),
    inference(resolution,[],[f23,f34]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,X1)
      | ~ q(X1)
      | ~ sP1(X0) ),
    inference(forward_subsumption_resolution,[],[f68,f29]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ q(sK5(X0))
      | ~ sP1(X0)
      | reachable(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(resolution,[],[f81,f28]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ q(sK5(X0))
      | ~ sP1(X0)
      | p(sK4(X0))
      | ~ sP0(X0) ),
    inference(resolution,[],[f81,f26]) ).

fof(f94,plain,
    ! [X0] :
      ( p(sK4(X0))
      | ~ sP1(X0)
      | ~ sP0(X0) ),
    inference(forward_subsumption_resolution,[],[f89,f55]) ).

fof(f95,plain,
    ! [X0] :
      ( reachable(X0,sK4(X0))
      | ~ sP1(X0)
      | ~ sP0(X0) ),
    inference(forward_subsumption_resolution,[],[f88,f55]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | ~ sP0(X0)
      | ~ p(sK4(X0))
      | ~ sP1(X0) ),
    inference(resolution,[],[f95,f43]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | ~ sP0(X0)
      | ~ p(sK4(X0)) ),
    inference(duplicate_literal_removal,[],[f109]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | ~ sP0(X0) ),
    inference(forward_subsumption_resolution,[],[f112,f94]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,sK2(X1))
      | sP0(X0)
      | ~ q(sK3(X1))
      | sP0(X1)
      | ~ sP1(X1) ),
    inference(resolution,[],[f58,f63]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,sK2(X1))
      | sP0(X0)
      | sP0(X1)
      | ~ sP1(X1) ),
    inference(forward_subsumption_resolution,[],[f139,f59]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ reachable(X0,sK2(X1))
      | sP0(X0)
      | ~ sP1(X1) ),
    inference(forward_subsumption_resolution,[],[f141,f114]) ).

fof(f145,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sP1(X0)
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(resolution,[],[f144,f22]) ).

fof(f148,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ sP1(X0) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f149,plain,
    ! [X0] : ~ sP1(X0),
    inference(forward_subsumption_resolution,[],[f148,f114]) ).

fof(f150,plain,
    ! [X0] : ~ reachable(initial_world,X0),
    inference(resolution,[],[f149,f32]) ).

fof(f151,plain,
    $false,
    inference(resolution,[],[f150,f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN549+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n002.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:31:07 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 3.07/1.07  % (498921)Detected formulas, will run a generic FOF schedule.
% 3.07/1.07  % (499002)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2452623645:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.07/1.07  % (499002)Instruction limit reached! 
% 3.07/1.07  % (499002)------------------------------
% 3.07/1.07  % (499002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.07  % (499002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.07  % (499002)CaDiCaL version: 2.1.3
% 3.07/1.07  % (499002)Termination reason: Instruction limit
% 3.07/1.07  % (499002)Termination phase: Saturation
% 3.07/1.07  % (499002)Time elapsed: 0.024 s
% 3.07/1.07  % (499002)Peak memory usage: 88 MB
% 3.07/1.07  % (499002)Instructions burned: 109 (million)
% 3.07/1.07  % (499005)dis-21_1_sil=8000:lcm=predicate:random_seed=2808720313: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)
% 3.07/1.07  % (499003)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1103155680:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.07/1.07  % (498999)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=618616609:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.07/1.07  % (499001)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=1918193783:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.07/1.07  % (499000)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=754536427:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.07/1.07  % (499004)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3836042883:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.07/1.07  % (499003)First to succeed.
% 3.07/1.07  % (499003)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-498921"
% 3.07/1.07  % (499004)Also succeeded, but the first one will report.
% 3.07/1.07  % (499005)Instruction limit reached! 
% 3.07/1.07  % (499005)------------------------------
% 3.07/1.07  % (499005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.07  % (499005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.07  % (499005)CaDiCaL version: 2.1.3
% 3.07/1.07  % (499005)Termination reason: Instruction limit
% 3.07/1.07  % (499005)Termination phase: Saturation
% 3.07/1.07  % (499005)Time elapsed: 0.068 s
% 3.07/1.07  % (499005)Peak memory usage: 87 MB
% 3.07/1.07  % (499005)Instructions burned: 129 (million)
% 3.07/1.07  % (499007)lrs+10_1_sil=8000:sp=occurrence:random_seed=2407811693:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.07/1.07  % (499007)Instruction limit reached! 
% 3.07/1.07  % (499007)------------------------------
% 3.07/1.07  % (499007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.07  % (499007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.07  % (499007)CaDiCaL version: 2.1.3
% 3.07/1.07  % (499007)Termination reason: Instruction limit
% 3.07/1.07  % (499007)Termination phase: Saturation
% 3.07/1.07  % (499007)Time elapsed: 0.090 s
% 3.07/1.07  % (499007)Peak memory usage: 90 MB
% 3.07/1.07  % (499007)Instructions burned: 288 (million)
% 3.07/1.07  % (499015)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2904776306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.07/1.07  % (499016)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1935273256:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.07/1.07  % (499003)Refutation found. Thanks to Tanya!
% 3.07/1.07  % SZS status Theorem for theBenchmark
% 3.07/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.26  % (499003)------------------------------
% 3.51/1.26  % (499003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.26  % (499003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.26  % (499003)CaDiCaL version: 2.1.3
% 3.51/1.26  % (499003)Termination reason: Refutation
% 3.51/1.26  % (499003)Time elapsed: 0.004 s
% 3.51/1.26  % (499003)Peak memory usage: 88 MB
% 3.51/1.26  % (499003)Instructions burned: 5 (million)
% 3.51/1.26  % (499003)------------------------------
% 3.51/1.26  % (499003)------------------------------
% 3.51/1.26  % (498921)Success in time 0.403 s
% 3.51/1.26  % Vampire exiting
%------------------------------------------------------------------------------