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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET662+3 : TPTP v9.3.1. Released v2.2.0.
% 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 12:41:34 PM UTC 2026

% Result   : Theorem 3.73s 1.20s
% Output   : Refutation 4.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   52 (   9 unt;   0 def)
%            Number of atoms       :  202 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  257 ( 107   ~;  97   |;  24   &)
%                                         (  10 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :  102 (  96   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ~ member(X0,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f8,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).

fof(f13,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).

fof(f21,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f22,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_25) ).

fof(f23,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ilf_type(empty_set,relation_type(X0,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f22]) ).

fof(f26,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X3,relation_type(X0,X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ member(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f36]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f39]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(empty_set,relation_type(X0,X1))
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X1,subset_type(X0))
              | ~ ilf_type(X1,member_type(power_set(X0))) )
            & ( ilf_type(X1,member_type(power_set(X0)))
              | ~ ilf_type(X1,subset_type(X0)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f56,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X1] :
              ( ~ member(X1,X0)
              | ~ ilf_type(X1,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f57,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ? [X1] :
              ( member(X1,X0)
              & ilf_type(X1,set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ( empty(X0)
          | ( member(sK3(X0),X0)
            & ilf_type(sK3(X0),set_type) ) )
        & ( ! [X2] :
              ( ~ member(X2,X0)
              | ~ ilf_type(X2,set_type) )
          | ~ empty(X0) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f57]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X2] :
                  ( member(X2,X1)
                  | ~ member(X2,X0)
                  | ~ ilf_type(X2,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ? [X2] :
                  ( ~ member(X2,X1)
                  & member(X2,X0)
                  & ilf_type(X2,set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(rectify,[],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( member(X0,power_set(X1))
              | ( ~ member(sK4(X0,X1),X1)
                & member(sK4(X0,X1),X0)
                & ilf_type(sK4(X0,X1),set_type) ) )
            & ( ! [X3] :
                  ( member(X3,X1)
                  | ~ member(X3,X0)
                  | ~ ilf_type(X3,set_type) )
              | ~ member(X0,power_set(X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ilf_type(X0,member_type(X1))
              | ~ member(X0,X1) )
            & ( member(X0,X1)
              | ~ ilf_type(X0,member_type(X1)) ) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f67,plain,
    ( ~ ilf_type(empty_set,relation_type(sK9,sK10))
    & ilf_type(sK10,set_type)
    & ilf_type(sK9,set_type) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f49]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ member(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f83,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ ilf_type(X2,set_type)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | empty(X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f104,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f21]) ).

fof(f107,plain,
    ~ ilf_type(empty_set,relation_type(sK9,sK10)),
    inference(cnf_transformation,[],[f67]) ).

fof(f108,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(forward_subsumption_resolution,[],[f72,f104]) ).

fof(f119,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ empty(X0)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f83,f104]) ).

fof(f120,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | ~ empty(X0) ),
    inference(forward_subsumption_resolution,[],[f119,f104]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f76,f104]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ilf_type(X1,subset_type(X0))
      | ~ ilf_type(X1,member_type(power_set(X0))) ),
    inference(forward_subsumption_resolution,[],[f132,f104]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
      | member(sK4(X0,X1),X0)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f88,f104]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f134,f104]) ).

fof(f136,plain,
    ! [X0] : member(empty_set,power_set(X0)),
    inference(resolution,[],[f135,f108]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f93,f120]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1)
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f152,f104]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f153,f104]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X0,set_type) ),
    inference(forward_subsumption_resolution,[],[f70,f104]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(forward_subsumption_resolution,[],[f163,f104]) ).

fof(f165,plain,
    ~ ilf_type(empty_set,subset_type(cross_product(sK9,sK10))),
    inference(resolution,[],[f164,f107]) ).

fof(f170,plain,
    ~ ilf_type(empty_set,member_type(power_set(cross_product(sK9,sK10)))),
    inference(resolution,[],[f165,f133]) ).

fof(f172,plain,
    ~ member(empty_set,power_set(cross_product(sK9,sK10))),
    inference(resolution,[],[f170,f154]) ).

fof(f173,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f172,f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET662+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n019.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 02:28:48 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 3.73/1.19  % (3605021)Detected formulas, will run a generic FOF schedule.
% 3.73/1.19  % (3605032)dis-21_1_sil=8000:lcm=predicate:random_seed=3762393186: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)
% 3.73/1.19  % (3605029)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=473310506:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.73/1.19  % (3605028)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=3067596909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.73/1.19  % (3605031)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1003521931:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.73/1.19  % (3605026)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=3810022941:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.73/1.19  % (3605027)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=533073828:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.73/1.19  % (3605030)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=997546804:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.73/1.19  % (3605029)Refutation not found, incomplete strategy
% 3.73/1.19  % (3605029)------------------------------
% 3.73/1.19  % (3605029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.19  % (3605029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.19  % (3605029)CaDiCaL version: 2.1.3
% 3.73/1.19  % (3605029)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.19  % (3605029)Time elapsed: 0.001 s
% 3.73/1.19  % (3605029)Peak memory usage: 87 MB
% 3.73/1.19  % (3605030)Refutation not found, incomplete strategy
% 3.73/1.19  % (3605030)------------------------------
% 3.73/1.19  % (3605030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.19  % (3605030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.20  % (3605030)CaDiCaL version: 2.1.3
% 3.73/1.20  % (3605030)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.20  % (3605030)Time elapsed: 0.001 s
% 3.73/1.20  % (3605030)Peak memory usage: 88 MB
% 3.73/1.20  % (3605030)Instructions burned: 1 (million)
% 3.73/1.20  % (3605031)First to succeed.
% 3.73/1.20  % (3605031)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3605021"
% 3.73/1.20  % (3605032)Instruction limit reached! 
% 3.73/1.20  % (3605032)------------------------------
% 3.73/1.20  % (3605032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.20  % (3605032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.20  % (3605032)CaDiCaL version: 2.1.3
% 3.73/1.20  % (3605032)Termination reason: Instruction limit
% 3.73/1.20  % (3605032)Termination phase: Saturation
% 3.73/1.20  % (3605032)Time elapsed: 0.041 s
% 3.73/1.20  % (3605032)Peak memory usage: 90 MB
% 3.73/1.20  % (3605032)Instructions burned: 133 (million)
% 3.73/1.20  % (3605040)lrs+10_1_sil=8000:sp=occurrence:random_seed=2652635967:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.73/1.20  % (3605040)Also succeeded, but the first one will report.
% 3.73/1.20  % (3605029)------------------------------
% 3.73/1.20  % (3605029)------------------------------
% 3.73/1.20  % (3605030)------------------------------
% 3.73/1.20  % (3605030)------------------------------
% 3.73/1.20  % (3605031)Refutation found. Thanks to Tanya!
% 3.73/1.20  % SZS status Theorem for theBenchmark
% 3.73/1.20  % SZS output start Proof for theBenchmark
% See solution above
% 4.29/1.43  % (3605031)------------------------------
% 4.29/1.43  % (3605031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.43  % (3605031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.43  % (3605031)CaDiCaL version: 2.1.3
% 4.29/1.43  % (3605031)Termination reason: Refutation
% 4.29/1.43  % (3605031)Time elapsed: 0.005 s
% 4.29/1.43  % (3605031)Peak memory usage: 88 MB
% 4.29/1.43  % (3605031)Instructions burned: 5 (million)
% 4.29/1.43  % (3605031)------------------------------
% 4.29/1.43  % (3605031)------------------------------
% 4.29/1.43  % (3605021)Success in time 0.554 s
% 4.29/1.43  % Vampire exiting
%------------------------------------------------------------------------------