↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM432+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:15:09 PM UTC 2026

% Result   : Theorem 2.52s 1.28s
% Output   : Refutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  20 unt;   1 def)
%            Number of atoms       :  194 (  42 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  229 (  94   ~;  91   |;  34   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn  54   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => aInteger0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).

fof(f18,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( aInteger0(X1)
            & X1 != sz00
            & ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).

fof(f19,axiom,
    ! [X0,X1,X2] :
      ( ( aInteger0(X0)
        & aInteger0(X1)
        & aInteger0(X2)
        & X2 != sz00 )
     => ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).

fof(f22,axiom,
    ( aInteger0(xa)
    & aInteger0(xb)
    & aInteger0(xq)
    & xq != sz00
    & aInteger0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

fof(f24,axiom,
    ( aInteger0(xn)
    & sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__876) ).

fof(f25,axiom,
    ( aInteger0(xm)
    & sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__899) ).

fof(f26,axiom,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__924) ).

fof(f27,conjecture,
    sdteqdtlpzmzozddtrp0(xa,xc,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f28,negated_conjecture,
    ~ sdteqdtlpzmzozddtrp0(xa,xc,xq),
    inference(negated_conjecture,[status(cth)],[f27]) ).

fof(f30,plain,
    ~ sdteqdtlpzmzozddtrp0(xa,xc,xq),
    inference(flattening,[],[f28]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f34]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( aDivisorOf0(X1,X0)
        <=> ( aInteger0(X1)
            & X1 != sz00
            & ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(X1,X2) = X0 ) ) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(ennf_transformation,[],[f19]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      <=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(flattening,[],[f54]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(X1,X2) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(X1,X2) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & ? [X3] :
                  ( aInteger0(X3)
                  & sdtasdt0(X1,X3) = X0 ) )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aDivisorOf0(X1,X0)
            | ~ aInteger0(X1)
            | sz00 = X1
            | ! [X2] :
                ( ~ aInteger0(X2)
                | sdtasdt0(X1,X2) != X0 ) )
          & ( ( aInteger0(X1)
              & X1 != sz00
              & aInteger0(sK0(X0,X1))
              & sdtasdt0(X1,sK0(X0,X1)) = X0 )
            | ~ aDivisorOf0(X1,X0) ) )
      | ~ aInteger0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
          | ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
        & ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
          | ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( aDivisorOf0(X1,X0)
      | ~ aInteger0(X1)
      | sz00 = X1
      | ~ aInteger0(X2)
      | sdtasdt0(X1,X2) != X0
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
      | ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | sz00 = X2 ),
    inference(cnf_transformation,[],[f64]) ).

fof(f96,plain,
    aInteger0(xc),
    inference(cnf_transformation,[],[f22]) ).

fof(f97,plain,
    sz00 != xq,
    inference(cnf_transformation,[],[f22]) ).

fof(f98,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f22]) ).

fof(f100,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f22]) ).

fof(f104,plain,
    aInteger0(xn),
    inference(cnf_transformation,[],[f24]) ).

fof(f106,plain,
    aInteger0(xm),
    inference(cnf_transformation,[],[f25]) ).

fof(f107,plain,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    inference(cnf_transformation,[],[f26]) ).

fof(f108,plain,
    ~ sdteqdtlpzmzozddtrp0(xa,xc,xq),
    inference(cnf_transformation,[],[f30]) ).

fof(f109,plain,
    ! [X2,X1] :
      ( aDivisorOf0(X1,sdtasdt0(X1,X2))
      | ~ aInteger0(X1)
      | sz00 = X1
      | ~ aInteger0(X2)
      | ~ aInteger0(sdtasdt0(X1,X2)) ),
    inference(equality_resolution,[],[f91]) ).

fof(f127,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | ~ aInteger0(xa)
    | ~ aInteger0(xc)
    | ~ aInteger0(xq)
    | sz00 = xq ),
    inference(resolution,[],[f93,f108]) ).

fof(f130,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | ~ aInteger0(xc)
    | ~ aInteger0(xq)
    | sz00 = xq ),
    inference(forward_subsumption_resolution,[],[f127,f100]) ).

fof(f132,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | ~ aInteger0(xq)
    | sz00 = xq ),
    inference(forward_subsumption_resolution,[],[f130,f96]) ).

fof(f134,plain,
    ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | sz00 = xq ),
    inference(forward_subsumption_resolution,[],[f132,f98]) ).

fof(f136,plain,
    ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))),
    inference(forward_subsumption_resolution,[],[f134,f97]) ).

fof(f180,definition,
    ( spl1_5
  <=> aInteger0(sdtpldt0(xn,xm)) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f181,plain,
    ( aInteger0(sdtpldt0(xn,xm))
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f182,plain,
    ( ~ aInteger0(sdtpldt0(xn,xm))
    | spl1_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f290,plain,
    ( ~ aInteger0(xn)
    | ~ aInteger0(xm)
    | spl1_5 ),
    inference(resolution,[],[f182,f68]) ).

fof(f292,plain,
    ( ~ aInteger0(xm)
    | spl1_5 ),
    inference(forward_subsumption_resolution,[],[f290,f104]) ).

fof(f293,plain,
    ( $false
    | spl1_5 ),
    inference(forward_subsumption_resolution,[],[f292,f106]) ).

fof(f294,plain,
    spl1_5,
    inference(avatar_contradiction_clause,[],[f293]) ).

fof(f367,plain,
    ! [X2,X1] :
      ( aDivisorOf0(X1,sdtasdt0(X1,X2))
      | ~ aInteger0(X1)
      | sz00 = X1
      | ~ aInteger0(X2) ),
    inference(forward_subsumption_resolution,[],[f109,f69]) ).

fof(f377,plain,
    ( aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | ~ aInteger0(xq)
    | sz00 = xq
    | ~ aInteger0(sdtpldt0(xn,xm)) ),
    inference(superposition,[],[f367,f107]) ).

fof(f383,plain,
    ( ~ aInteger0(xq)
    | sz00 = xq
    | ~ aInteger0(sdtpldt0(xn,xm)) ),
    inference(forward_subsumption_resolution,[],[f377,f136]) ).

fof(f389,plain,
    ( sz00 = xq
    | ~ aInteger0(sdtpldt0(xn,xm)) ),
    inference(forward_subsumption_resolution,[],[f383,f98]) ).

fof(f402,plain,
    ~ aInteger0(sdtpldt0(xn,xm)),
    inference(forward_subsumption_resolution,[],[f389,f97]) ).

fof(f403,plain,
    ( $false
    | ~ spl1_5 ),
    inference(forward_subsumption_resolution,[],[f402,f181]) ).

fof(f404,plain,
    ~ spl1_5,
    inference(avatar_contradiction_clause,[],[f403]) ).

cnf(s24,plain,
    spl1_5,
    inference(sat_conversion,[],[f294]) ).

cnf(s31,plain,
    ~ spl1_5,
    inference(sat_conversion,[],[f404]) ).

cnf(s34,plain,
    $false,
    inference(rat,[],[s24,s31]) ).

fof(f405,plain,
    $false,
    inference(avatar_sat_refutation,[],[s34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM432+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n019.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 19:53:34 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.52/1.28  % (3369332)Detected formulas, will run a generic FOF schedule.
% 2.52/1.28  % (3369341)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=872063890:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.52/1.28  % (3369343)dis-21_1_sil=8000:lcm=predicate:random_seed=3173904844: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)
% 2.52/1.28  % (3369337)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=2541339417:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.52/1.28  % (3369340)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3350011091:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.52/1.28  % (3369339)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=3498835561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.52/1.28  % (3369338)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=2076255727:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.52/1.28  % (3369341)Instruction limit reached! 
% 2.52/1.28  % (3369341)------------------------------
% 2.52/1.28  % (3369341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.28  % (3369341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.28  % (3369341)CaDiCaL version: 2.1.3
% 2.52/1.28  % (3369341)Termination reason: Instruction limit
% 2.52/1.28  % (3369341)Termination phase: Saturation
% 2.52/1.28  % (3369341)Time elapsed: 0.040 s
% 2.52/1.28  % (3369341)Peak memory usage: 88 MB
% 2.52/1.28  % (3369341)Instructions burned: 134 (million)
% 2.52/1.28  % (3369343)Refutation not found, incomplete strategy
% 2.52/1.28  % (3369343)------------------------------
% 2.52/1.28  % (3369343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.28  % (3369343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.28  % (3369343)CaDiCaL version: 2.1.3
% 2.52/1.28  % (3369343)Termination reason: Refutation not found, incomplete strategy
% 2.52/1.28  % (3369343)Time elapsed: 0.004 s
% 2.52/1.28  % (3369343)Peak memory usage: 88 MB
% 2.52/1.28  % (3369343)Instructions burned: 5 (million)
% 2.52/1.28  % (3369342)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2479616839:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.52/1.28  % (3369342)First to succeed.
% 2.52/1.28  % (3369342)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3369332"
% 2.52/1.28  % (3369340)Instruction limit reached! 
% 2.52/1.28  % (3369340)------------------------------
% 2.52/1.28  % (3369340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.28  % (3369340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.28  % (3369340)CaDiCaL version: 2.1.3
% 2.52/1.28  % (3369340)Termination reason: Instruction limit
% 2.52/1.28  % (3369340)Termination phase: Saturation
% 2.52/1.28  % (3369340)Time elapsed: 0.067 s
% 2.52/1.28  % (3369340)Peak memory usage: 89 MB
% 2.52/1.28  % (3369340)Instructions burned: 109 (million)
% 2.52/1.28  % (3369350)lrs+10_1_sil=8000:sp=occurrence:random_seed=2682455248:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.52/1.28  % (3369350)Also succeeded, but the first one will report.
% 2.52/1.28  % (3369352)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1827031294:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.52/1.28  % (3369352)Refutation not found, incomplete strategy
% 2.52/1.28  % (3369352)------------------------------
% 2.52/1.28  % (3369352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.28  % (3369352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.28  % (3369352)CaDiCaL version: 2.1.3
% 2.52/1.28  % (3369352)Termination reason: Refutation not found, incomplete strategy
% 2.52/1.28  % (3369352)Time elapsed: 0.004 s
% 2.52/1.28  % (3369352)Peak memory usage: 88 MB
% 2.52/1.28  % (3369352)Instructions burned: 4 (million)
% 2.52/1.28  % (3369343)------------------------------
% 2.52/1.28  % (3369343)------------------------------
% 2.52/1.28  % (3369342)Refutation found. Thanks to Tanya!
% 2.52/1.28  % SZS status Theorem for theBenchmark
% 2.52/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.38  % (3369342)------------------------------
% 3.48/1.38  % (3369342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.38  % (3369342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.38  % (3369342)CaDiCaL version: 2.1.3
% 3.48/1.38  % (3369342)Termination reason: Refutation
% 3.48/1.38  % (3369342)Time elapsed: 0.010 s
% 3.48/1.38  % (3369342)Peak memory usage: 90 MB
% 3.48/1.38  % (3369342)Instructions burned: 11 (million)
% 3.48/1.38  % (3369342)------------------------------
% 3.48/1.38  % (3369342)------------------------------
% 3.48/1.38  % (3369332)Success in time 0.425 s
% 3.48/1.38  % Vampire exiting
%------------------------------------------------------------------------------