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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU145+1 : TPTP v9.3.1. Released v3.3.0.
% 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 12:47:24 PM UTC 2026

% Result   : Theorem 4.95s 1.65s
% Output   : Refutation 4.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   46 (  14 unt;   0 def)
%            Number of atoms       :  180 (  39 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  220 (  86   ~;  83   |;  42   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  110 (  97   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_difference(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f7,conjecture,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => ( in(X2,X0)
        | subset(X0,set_difference(X1,singleton(X2))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(X0,X1)
       => ( in(X2,X0)
          | subset(X0,set_difference(X1,singleton(X2))) ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f11,plain,
    ? [X0,X1,X2] :
      ( ~ in(X2,X0)
      & ~ subset(X0,set_difference(X1,singleton(X2)))
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f12,plain,
    ? [X0,X1,X2] :
      ( ~ in(X2,X0)
      & ~ subset(X0,set_difference(X1,singleton(X2)))
      & subset(X0,X1) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f15,plain,
    ( ~ in(sK2,sK0)
    & ~ subset(sK0,set_difference(sK1,singleton(sK2)))
    & subset(sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f12]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | X0 != X2 )
            & ( X2 = X0
              | ~ in(X2,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(rectify,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ( ( sK3(X0,X1) != X0
            | ~ in(sK3(X0,X1),X1) )
          & ( sK3(X0,X1) = X0
            | in(sK3(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_difference(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & ~ in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | in(X3,X1) )
            & ( ( in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_difference(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & ~ in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | in(X3,X1) )
            & ( ( in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_difference(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & ~ in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | in(X4,X1) )
            & ( ( in(X4,X0)
                & ~ in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_difference(X0,X1)
        | ( ( ~ in(sK4(X0,X1,X2),X0)
            | in(sK4(X0,X1,X2),X1)
            | ~ in(sK4(X0,X1,X2),X2) )
          & ( ( in(sK4(X0,X1,X2),X0)
              & ~ in(sK4(X0,X1,X2),X1) )
            | in(sK4(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | in(X4,X1) )
            & ( ( in(X4,X0)
                & ~ in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK5(X0,X1),X1)
          & in(sK5(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f24]) ).

fof(f26,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f27,plain,
    ~ subset(sK0,set_difference(sK1,singleton(sK2))),
    inference(cnf_transformation,[],[f15]) ).

fof(f28,plain,
    ~ in(sK2,sK0),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | X0 != X3
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f33,plain,
    ! [X2,X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X0)
      | in(X4,X1)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f44,plain,
    ! [X3,X1] :
      ( in(X3,X1)
      | singleton(X3) != X1 ),
    inference(equality_resolution,[],[f30]) ).

fof(f45,plain,
    ! [X3] : in(X3,singleton(X3)),
    inference(equality_resolution,[],[f44]) ).

fof(f46,plain,
    ! [X3,X0] :
      ( ~ in(X3,singleton(X0))
      | X0 = X3 ),
    inference(equality_resolution,[],[f29]) ).

fof(f47,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | ~ in(X4,X0)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f35]) ).

fof(f48,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f34]) ).

fof(f49,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f33]) ).

fof(f53,plain,
    in(sK5(sK0,set_difference(sK1,singleton(sK2))),sK0),
    inference(unit_resulting_resolution,[],[f40,f27]) ).

fof(f54,plain,
    ~ in(sK5(sK0,set_difference(sK1,singleton(sK2))),set_difference(sK1,singleton(sK2))),
    inference(unit_resulting_resolution,[],[f41,f27]) ).

fof(f57,plain,
    ! [X0] : ~ in(sK2,set_difference(sK0,X0)),
    inference(unit_resulting_resolution,[],[f48,f28]) ).

fof(f60,plain,
    ! [X0,X1] : ~ in(X0,set_difference(X1,singleton(X0))),
    inference(unit_resulting_resolution,[],[f49,f45]) ).

fof(f68,plain,
    in(sK5(sK0,set_difference(sK1,singleton(sK2))),sK1),
    inference(unit_resulting_resolution,[],[f39,f53,f26]) ).

fof(f126,plain,
    ! [X0] : in(sK5(sK0,set_difference(sK1,singleton(sK2))),set_difference(sK0,set_difference(X0,singleton(sK5(sK0,set_difference(sK1,singleton(sK2))))))),
    inference(unit_resulting_resolution,[],[f47,f53,f60]) ).

fof(f167,plain,
    in(sK5(sK0,set_difference(sK1,singleton(sK2))),singleton(sK2)),
    inference(unit_resulting_resolution,[],[f47,f54,f68]) ).

fof(f704,plain,
    sK2 = sK5(sK0,set_difference(sK1,singleton(sK2))),
    inference(unit_resulting_resolution,[],[f46,f167]) ).

fof(f744,plain,
    ! [X0] : in(sK2,set_difference(sK0,set_difference(X0,singleton(sK2)))),
    inference(superposition,[],[f126,f704]) ).

fof(f752,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f744,f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU145+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n026.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 03:46:27 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  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
% 3.54/1.46  % (3440931)Detected formulas, will run a generic FOF schedule.
% 3.54/1.46  % (3440938)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=1534654860:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.46  % (3440942)dis-21_1_sil=8000:lcm=predicate:random_seed=4096628966: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)
% 3.54/1.46  % (3440940)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=645393104:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.46  % (3440939)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2828154903:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.46  % (3440936)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=831576609:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.46  % (3440937)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=2601365332:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.46  % (3440939)Refutation not found, incomplete strategy
% 3.54/1.46  % (3440939)------------------------------
% 3.54/1.46  % (3440939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.46  % (3440939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.46  % (3440939)CaDiCaL version: 2.1.3
% 3.54/1.46  % (3440939)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.46  % (3440939)Time elapsed: 0.003 s
% 3.54/1.46  % (3440939)Peak memory usage: 88 MB
% 3.54/1.46  % (3440939)Instructions burned: 2 (million)
% 3.54/1.46  % (3440941)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1450966292:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.46  % (3440940)Instruction limit reached! 
% 3.54/1.46  % (3440940)------------------------------
% 3.54/1.46  % (3440940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.46  % (3440940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.46  % (3440940)CaDiCaL version: 2.1.3
% 3.54/1.46  % (3440940)Termination reason: Instruction limit
% 3.54/1.46  % (3440940)Termination phase: Saturation
% 3.54/1.46  % (3440940)Time elapsed: 0.077 s
% 3.54/1.46  % (3440940)Peak memory usage: 88 MB
% 3.54/1.46  % (3440940)Instructions burned: 120 (million)
% 3.54/1.46  % (3440942)Instruction limit reached! 
% 3.54/1.46  % (3440942)------------------------------
% 3.54/1.46  % (3440942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.46  % (3440942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.46  % (3440942)CaDiCaL version: 2.1.3
% 3.54/1.46  % (3440942)Termination reason: Instruction limit
% 3.54/1.46  % (3440942)Termination phase: Saturation
% 3.54/1.46  % (3440942)Time elapsed: 0.080 s
% 3.54/1.46  % (3440942)Peak memory usage: 89 MB
% 3.54/1.46  % (3440942)Instructions burned: 130 (million)
% 3.54/1.46  % (3440941)Instruction limit reached! 
% 3.54/1.46  % (3440941)------------------------------
% 3.54/1.46  % (3440941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.46  % (3440941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.46  % (3440941)CaDiCaL version: 2.1.3
% 3.54/1.46  % (3440941)Termination reason: Instruction limit
% 3.54/1.46  % (3440941)Termination phase: Saturation
% 3.54/1.46  % (3440941)Time elapsed: 0.095 s
% 3.54/1.46  % (3440941)Peak memory usage: 89 MB
% 3.54/1.46  % (3440941)Instructions burned: 140 (million)
% 3.54/1.46  % (3440951)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4219138222:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.54/1.46  % (3440950)lrs+10_1_sil=8000:sp=occurrence:random_seed=369586834:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.54/1.46  % (3440951)First to succeed.
% 3.54/1.46  % (3440951)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3440931"
% 3.54/1.46  % (3440939)------------------------------
% 3.54/1.46  % (3440939)------------------------------
% 3.54/1.46  % (3440952)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2851036242:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.54/1.46  % (3440938)Also succeeded, but the first one will report.
% 4.95/1.65  % (3440950)Instruction limit reached! 
% 4.95/1.65  % (3440950)------------------------------
% 4.95/1.65  % (3440950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.65  % (3440950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.65  % (3440950)CaDiCaL version: 2.1.3
% 4.95/1.65  % (3440950)Termination reason: Instruction limit
% 4.95/1.65  % (3440950)Termination phase: Saturation
% 4.95/1.65  % (3440950)Time elapsed: 0.183 s
% 4.95/1.65  % (3440950)Peak memory usage: 91 MB
% 4.95/1.65  % (3440950)Instructions burned: 287 (million)
% 4.95/1.65  % (3440956)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=1783000788:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.95/1.65  % (3440952)Instruction limit reached! 
% 4.95/1.65  % (3440952)------------------------------
% 4.95/1.65  % (3440952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.65  % (3440952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.65  % (3440952)CaDiCaL version: 2.1.3
% 4.95/1.65  % (3440952)Termination reason: Instruction limit
% 4.95/1.65  % (3440952)Termination phase: Saturation
% 4.95/1.65  % (3440952)Time elapsed: 0.210 s
% 4.95/1.65  % (3440952)Peak memory usage: 91 MB
% 4.95/1.65  % (3440952)Instructions burned: 326 (million)
% 4.95/1.65  % (3440956)Also succeeded, but the first one will report.
% 4.95/1.65  % (3440951)Refutation found. Thanks to Tanya!
% 4.95/1.65  % SZS status Theorem for theBenchmark
% 4.95/1.65  % SZS output start Proof for theBenchmark
% See solution above
% 4.95/1.65  % (3440951)------------------------------
% 4.95/1.65  % (3440951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.65  % (3440951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.65  % (3440951)CaDiCaL version: 2.1.3
% 4.95/1.65  % (3440951)Termination reason: Refutation
% 4.95/1.65  % (3440951)Time elapsed: 0.018 s
% 4.95/1.65  % (3440951)Peak memory usage: 89 MB
% 4.95/1.65  % (3440951)Instructions burned: 28 (million)
% 4.95/1.65  % (3440951)------------------------------
% 4.95/1.65  % (3440951)------------------------------
% 4.95/1.65  % (3440931)Success in time 0.616 s
% 4.95/1.65  % Vampire exiting
%------------------------------------------------------------------------------