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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM594+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 12:15:54 PM UTC 2026

% Result   : Theorem 0.49s 0.80s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (   9 unt;   0 def)
%            Number of atoms       :  179 (  46 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  243 ( 103   ~;  93   |;  38   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   77 (  64   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).

fof(f23,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( X2 = sdtlcdtrc0(X0,X1)
            <=> ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( aElementOf0(X4,X1)
                        & sdtlpdtrp0(X0,X4) = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).

fof(f92,axiom,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ! [X1] :
            ( ( aSet0(X1)
              & aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
           => sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).

fof(f94,axiom,
    aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).

fof(f95,conjecture,
    ? [X0] :
      ( aElementOf0(X0,szNzAzT0)
      & sdtlpdtrp0(xd,X0) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f96,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,szNzAzT0)
        & sdtlpdtrp0(xd,X0) = xx ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f125,plain,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
            | ~ aSet0(X1)
            | ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f126,plain,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X0] :
        ( ! [X1] :
            ( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
            | ~ aSet0(X1)
            | ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(flattening,[],[f125]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xd,X0) != xx ),
    inference(ennf_transformation,[],[f96]) ).

fof(f136,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = sdtlcdtrc0(X0,X1)
            <=> ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( aElementOf0(X4,X1)
                        & sdtlpdtrp0(X0,X4) = X3 ) ) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f224,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( aElementOf0(X4,X1)
                          & sdtlpdtrp0(X0,X4) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( ~ aElementOf0(X4,X1)
                            | sdtlpdtrp0(X0,X4) != X3 ) )
                      & ( ? [X4] :
                            ( aElementOf0(X4,X1)
                            & sdtlpdtrp0(X0,X4) = X3 )
                        | ~ aElementOf0(X3,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f225,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X4] :
                          ( aElementOf0(X4,X1)
                          & sdtlpdtrp0(X0,X4) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X3] :
                      ( ( aElementOf0(X3,X2)
                        | ! [X4] :
                            ( ~ aElementOf0(X4,X1)
                            | sdtlpdtrp0(X0,X4) != X3 ) )
                      & ( ? [X4] :
                            ( aElementOf0(X4,X1)
                            & sdtlpdtrp0(X0,X4) = X3 )
                        | ~ aElementOf0(X3,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(flattening,[],[f224]) ).

fof(f226,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ? [X3] :
                    ( ( ! [X4] :
                          ( ~ aElementOf0(X4,X1)
                          | sdtlpdtrp0(X0,X4) != X3 )
                      | ~ aElementOf0(X3,X2) )
                    & ( ? [X5] :
                          ( aElementOf0(X5,X1)
                          & sdtlpdtrp0(X0,X5) = X3 )
                      | aElementOf0(X3,X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( ~ aElementOf0(X7,X1)
                            | sdtlpdtrp0(X0,X7) != X6 ) )
                      & ( ? [X8] :
                            ( aElementOf0(X8,X1)
                            & sdtlpdtrp0(X0,X8) = X6 )
                        | ~ aElementOf0(X6,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(rectify,[],[f225]) ).

fof(f227,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = sdtlcdtrc0(X0,X1)
                | ~ aSet0(X2)
                | ( ( ! [X4] :
                        ( ~ aElementOf0(X4,X1)
                        | sdtlpdtrp0(X0,X4) != sK13(X0,X1,X2) )
                    | ~ aElementOf0(sK13(X0,X1,X2),X2) )
                  & ( ( aElementOf0(sK14(X0,X1,X2),X1)
                      & sK13(X0,X1,X2) = sdtlpdtrp0(X0,sK14(X0,X1,X2)) )
                    | aElementOf0(sK13(X0,X1,X2),X2) ) ) )
              & ( ( aSet0(X2)
                  & ! [X6] :
                      ( ( aElementOf0(X6,X2)
                        | ! [X7] :
                            ( ~ aElementOf0(X7,X1)
                            | sdtlpdtrp0(X0,X7) != X6 ) )
                      & ( ( aElementOf0(sK15(X0,X1,X6),X1)
                          & sdtlpdtrp0(X0,sK15(X0,X1,X6)) = X6 )
                        | ~ aElementOf0(X6,X2) ) ) )
                | sdtlcdtrc0(X0,X1) != X2 ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X3,sK13(X0,X1,X2)),skolemize(X5,sK14(X0,X1,X2)),skolemize(X8,sK15(X0,X1,X6))],[f226]) ).

fof(f300,plain,
    szNzAzT0 = szDzozmdt0(xd),
    inference(cnf_transformation,[],[f126]) ).

fof(f301,plain,
    aFunction0(xd),
    inference(cnf_transformation,[],[f126]) ).

fof(f303,plain,
    aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
    inference(cnf_transformation,[],[f94]) ).

fof(f304,plain,
    ! [X0] :
      ( sdtlpdtrp0(xd,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f307,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f311,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f326,plain,
    ! [X2,X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK15(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f327,plain,
    ! [X2,X0,X1,X6] :
      ( aElementOf0(sK15(X0,X1,X6),X1)
      | ~ aElementOf0(X6,X2)
      | sdtlcdtrc0(X0,X1) != X2
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f415,plain,
    ! [X0,X1,X6] :
      ( aElementOf0(sK15(X0,X1,X6),X1)
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f327]) ).

fof(f416,plain,
    ! [X0,X1,X6] :
      ( sdtlpdtrp0(X0,sK15(X0,X1,X6)) = X6
      | ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f326]) ).

fof(f438,plain,
    aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)),
    inference(forward_demodulation,[],[f303,f300]) ).

fof(f1421,plain,
    ! [X0,X1] :
      ( xx != X0
      | ~ aElementOf0(sK15(xd,X1,X0),szNzAzT0)
      | ~ aElementOf0(X0,sdtlcdtrc0(xd,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(xd))
      | ~ aFunction0(xd) ),
    inference(superposition,[],[f304,f416]) ).

fof(f1425,plain,
    ! [X0,X1] :
      ( xx != X0
      | ~ aElementOf0(sK15(xd,X1,X0),szNzAzT0)
      | ~ aElementOf0(X0,sdtlcdtrc0(xd,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(xd)) ),
    inference(forward_subsumption_resolution,[],[f1421,f301]) ).

fof(f1451,plain,
    ! [X0,X1] :
      ( xx != X0
      | ~ aSubsetOf0(X1,szNzAzT0)
      | ~ aElementOf0(sK15(xd,X1,X0),szNzAzT0)
      | ~ aElementOf0(X0,sdtlcdtrc0(xd,X1)) ),
    inference(forward_demodulation,[],[f1425,f300]) ).

fof(f1475,plain,
    ! [X0] :
      ( ~ aElementOf0(sK15(xd,X0,xx),szNzAzT0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aElementOf0(xx,sdtlcdtrc0(xd,X0)) ),
    inference(equality_resolution,[],[f1451]) ).

fof(f1476,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0))
    | ~ aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0))
    | ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
    | ~ aFunction0(xd) ),
    inference(resolution,[],[f1475,f415]) ).

fof(f1478,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0))
    | ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
    | ~ aFunction0(xd) ),
    inference(duplicate_literal_removal,[],[f1476]) ).

fof(f1480,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
    | ~ aFunction0(xd) ),
    inference(forward_subsumption_resolution,[],[f1478,f438]) ).

fof(f1481,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSubsetOf0(szNzAzT0,szDzozmdt0(xd)) ),
    inference(forward_subsumption_resolution,[],[f1480,f301]) ).

fof(f1482,plain,
    ( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
    inference(forward_demodulation,[],[f1481,f300]) ).

fof(f1483,plain,
    ~ aSubsetOf0(szNzAzT0,szNzAzT0),
    inference(duplicate_literal_removal,[],[f1482]) ).

fof(f1490,plain,
    ~ aSet0(szNzAzT0),
    inference(resolution,[],[f1483,f311]) ).

fof(f1493,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1490,f307]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NUM594+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Sun Sep 27 20:39:19 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32  Running first-order theorem proving
% 0.03/0.32  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
% 0.49/0.80  % (2717580)Detected formulas, will run a generic FOF schedule.
% 0.49/0.80  % (2717587)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=3927093100:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.49/0.80  % (2717585)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=829495305:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.49/0.80  % (2717586)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=2075341947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.49/0.80  % (2717588)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3407436486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.49/0.80  % (2717589)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2130073168:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.49/0.80  % (2717591)dis-21_1_sil=8000:lcm=predicate:random_seed=3273901054: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)
% 0.49/0.80  % (2717590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3937500167:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.49/0.80  % (2717589)First to succeed.
% 0.49/0.80  % (2717589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2717580"
% 0.49/0.80  % (2717588)Instruction limit reached! 
% 0.49/0.80  % (2717588)------------------------------
% 0.49/0.80  % (2717588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.49/0.80  % (2717588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80  % (2717588)CaDiCaL version: 2.1.3
% 0.49/0.80  % (2717588)Termination reason: Instruction limit
% 0.49/0.80  % (2717588)Termination phase: Saturation
% 0.49/0.80  % (2717588)Time elapsed: 0.036 s
% 0.49/0.80  % (2717588)Peak memory usage: 89 MB
% 0.49/0.80  % (2717588)Instructions burned: 111 (million)
% 0.49/0.80  % (2717591)Instruction limit reached! 
% 0.49/0.80  % (2717591)------------------------------
% 0.49/0.80  % (2717591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.49/0.80  % (2717591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80  % (2717591)CaDiCaL version: 2.1.3
% 0.49/0.80  % (2717591)Termination reason: Instruction limit
% 0.49/0.80  % (2717591)Termination phase: Saturation
% 0.49/0.80  % (2717591)Time elapsed: 0.033 s
% 0.49/0.80  % (2717591)Peak memory usage: 88 MB
% 0.49/0.80  % (2717591)Instructions burned: 130 (million)
% 0.49/0.80  % (2717590)Also succeeded, but the first one will report.
% 0.49/0.80  % (2717599)lrs+10_1_sil=8000:sp=occurrence:random_seed=1723526110:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.49/0.80  % (2717600)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3113554702:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.49/0.80  % (2717600)Refutation not found, incomplete strategy
% 0.49/0.80  % (2717600)------------------------------
% 0.49/0.80  % (2717600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.49/0.80  % (2717600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.80  % (2717600)CaDiCaL version: 2.1.3
% 0.49/0.80  % (2717600)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.80  % (2717600)Time elapsed: 0.001 s
% 0.49/0.80  % (2717600)Peak memory usage: 88 MB
% 0.49/0.80  % (2717600)Instructions burned: 1 (million)
% 0.49/0.80  % (2717589)Refutation found. Thanks to Tanya!
% 0.49/0.80  % SZS status Theorem for theBenchmark
% 0.49/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.89  % (2717589)------------------------------
% 2.13/0.89  % (2717589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.13/0.89  % (2717589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.89  % (2717589)CaDiCaL version: 2.1.3
% 2.13/0.89  % (2717589)Termination reason: Refutation
% 2.13/0.89  % (2717589)Time elapsed: 0.018 s
% 2.13/0.89  % (2717589)Peak memory usage: 89 MB
% 2.13/0.89  % (2717589)Instructions burned: 49 (million)
% 2.13/0.89  % (2717589)------------------------------
% 2.13/0.89  % (2717589)------------------------------
% 2.13/0.89  % (2717580)Success in time 0.281 s
% 2.13/0.89  % Vampire exiting
%------------------------------------------------------------------------------