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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET984+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 12:42:28 PM UTC 2026

% Result   : Theorem 2.94s 1.38s
% Output   : Refutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   77 (  23 unt;   6 def)
%            Number of atoms       :  176 (  85 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  160 (  61   ~;  73   |;  15   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   84 (   0 sgn  76   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( cartesian_product2(X0,X1) = empty_set
    <=> ( X0 = empty_set
        | X1 = empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3] :
      ( cartesian_product2(X0,X1) = cartesian_product2(X2,X3)
     => ( X0 = empty_set
        | X1 = empty_set
        | ( X0 = X2
          & X1 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1) ).

fof(f10,conjecture,
    ! [X0,X1,X2,X3] :
      ( subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
     => ( cartesian_product2(X0,X1) = empty_set
        | ( subset(X0,X2)
          & subset(X1,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
       => ( cartesian_product2(X0,X1) = empty_set
          | ( subset(X0,X2)
            & subset(X1,X3) ) ) ),
    inference(negated_conjecture,[status(cth)],[f10]) ).

fof(f12,axiom,
    ! [X0,X1] : subset(set_intersection2(X0,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
     => set_intersection2(X0,X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).

fof(f16,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = empty_set
      | X1 = empty_set
      | ( X0 = X2
        & X1 = X3 )
      | cartesian_product2(X0,X1) != cartesian_product2(X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = empty_set
      | X1 = empty_set
      | ( X0 = X2
        & X1 = X3 )
      | cartesian_product2(X0,X1) != cartesian_product2(X2,X3) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ? [X0,X1,X2,X3] :
      ( empty_set != cartesian_product2(X0,X1)
      & ( ~ subset(X0,X2)
        | ~ subset(X1,X3) )
      & subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f19,plain,
    ? [X0,X1,X2,X3] :
      ( empty_set != cartesian_product2(X0,X1)
      & ( ~ subset(X0,X2)
        | ~ subset(X1,X3) )
      & subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( set_intersection2(X0,X1) = X0
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( cartesian_product2(X0,X1) = empty_set
        | ( empty_set != X0
          & empty_set != X1 ) )
      & ( X0 = empty_set
        | X1 = empty_set
        | empty_set != cartesian_product2(X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( cartesian_product2(X0,X1) = empty_set
        | ( empty_set != X0
          & empty_set != X1 ) )
      & ( X0 = empty_set
        | X1 = empty_set
        | empty_set != cartesian_product2(X0,X1) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ( empty_set != cartesian_product2(sK2,sK3)
    & ( ~ subset(sK2,sK4)
      | ~ subset(sK3,sK5) )
    & subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f19]) ).

fof(f26,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( empty_set = cartesian_product2(X0,X1)
      | empty_set != X1 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( empty_set = cartesian_product2(X0,X1)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
    inference(cnf_transformation,[],[f8]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( cartesian_product2(X0,X1) != cartesian_product2(X2,X3)
      | empty_set = X1
      | X1 = X3
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( cartesian_product2(X0,X1) != cartesian_product2(X2,X3)
      | empty_set = X1
      | X0 = X2
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f38,plain,
    subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),
    inference(cnf_transformation,[],[f25]) ).

fof(f39,plain,
    ( ~ subset(sK2,sK4)
    | ~ subset(sK3,sK5) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f40,plain,
    empty_set != cartesian_product2(sK2,sK3),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ! [X0,X1] : subset(set_intersection2(X0,X1),X0),
    inference(cnf_transformation,[],[f12]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_intersection2(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X1] : empty_set = cartesian_product2(empty_set,X1),
    inference(equality_resolution,[],[f34]) ).

fof(f44,plain,
    ! [X0] : empty_set = cartesian_product2(X0,empty_set),
    inference(equality_resolution,[],[f33]) ).

fof(f46,definition,
    ( spl6_1
  <=> subset(sK3,sK5) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f50,definition,
    ( spl6_2
  <=> subset(sK2,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

fof(f52,plain,
    ( ~ subset(sK2,sK4)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f53,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f39,f50,f46]) ).

fof(f55,plain,
    ! [X0,X1] : subset(set_intersection2(X0,X1),X1),
    inference(superposition,[],[f41,f26]) ).

fof(f60,plain,
    cartesian_product2(sK2,sK3) = set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),
    inference(resolution,[],[f42,f38]) ).

fof(f72,plain,
    cartesian_product2(sK2,sK3) = cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),
    inference(superposition,[],[f35,f60]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
      | empty_set = set_intersection2(sK3,sK5)
      | set_intersection2(sK3,sK5) = X1
      | empty_set = set_intersection2(sK2,sK4) ),
    inference(superposition,[],[f36,f72]) ).

fof(f98,definition,
    ( spl6_3
  <=> empty_set = set_intersection2(sK2,sK4) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

fof(f100,plain,
    ( empty_set = set_intersection2(sK2,sK4)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f102,definition,
    ( spl6_4
  <=> empty_set = set_intersection2(sK3,sK5) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

fof(f104,plain,
    ( empty_set = set_intersection2(sK3,sK5)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f106,definition,
    ( spl6_5
  <=> ! [X0,X1] :
        ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
        | set_intersection2(sK3,sK5) = X1 ) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f107,plain,
    ( ! [X0,X1] :
        ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
        | set_intersection2(sK3,sK5) = X1 )
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f108,plain,
    ( spl6_3
    | spl6_4
    | spl6_5 ),
    inference(avatar_split_clause,[],[f91,f106,f102,f98]) ).

fof(f109,plain,
    ( cartesian_product2(sK2,sK3) = cartesian_product2(empty_set,set_intersection2(sK3,sK5))
    | ~ spl6_3 ),
    inference(superposition,[],[f72,f100]) ).

fof(f112,plain,
    ( empty_set = cartesian_product2(sK2,sK3)
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f109,f43]) ).

fof(f113,plain,
    ( $false
    | ~ spl6_3 ),
    inference(forward_subsumption_resolution,[],[f112,f40]) ).

fof(f114,plain,
    ~ spl6_3,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
      | empty_set = set_intersection2(sK3,sK5)
      | set_intersection2(sK2,sK4) = X0
      | empty_set = set_intersection2(sK2,sK4) ),
    inference(superposition,[],[f37,f72]) ).

fof(f122,definition,
    ( spl6_6
  <=> ! [X0,X1] :
        ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
        | set_intersection2(sK2,sK4) = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).

fof(f123,plain,
    ( ! [X0,X1] :
        ( cartesian_product2(X0,X1) != cartesian_product2(sK2,sK3)
        | set_intersection2(sK2,sK4) = X0 )
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f124,plain,
    ( spl6_3
    | spl6_4
    | spl6_6 ),
    inference(avatar_split_clause,[],[f115,f122,f102,f98]) ).

fof(f135,plain,
    ( cartesian_product2(sK2,sK3) = cartesian_product2(set_intersection2(sK2,sK4),empty_set)
    | ~ spl6_4 ),
    inference(superposition,[],[f72,f104]) ).

fof(f140,plain,
    ( empty_set = cartesian_product2(sK2,sK3)
    | ~ spl6_4 ),
    inference(forward_demodulation,[],[f135,f44]) ).

fof(f141,plain,
    ( $false
    | ~ spl6_4 ),
    inference(forward_subsumption_resolution,[],[f140,f40]) ).

fof(f142,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f141]) ).

fof(f215,plain,
    ( sK3 = set_intersection2(sK3,sK5)
    | ~ spl6_5 ),
    inference(equality_resolution,[],[f107]) ).

fof(f248,plain,
    ( subset(sK3,sK5)
    | ~ spl6_5 ),
    inference(superposition,[],[f55,f215]) ).

fof(f257,plain,
    ( spl6_1
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f248,f106,f46]) ).

fof(f3609,plain,
    ( sK2 = set_intersection2(sK2,sK4)
    | ~ spl6_6 ),
    inference(equality_resolution,[],[f123]) ).

fof(f3628,plain,
    ( subset(sK2,sK4)
    | ~ spl6_6 ),
    inference(superposition,[],[f55,f3609]) ).

fof(f3674,plain,
    ( $false
    | spl6_2
    | ~ spl6_6 ),
    inference(forward_subsumption_resolution,[],[f3628,f52]) ).

fof(f3675,plain,
    ( spl6_2
    | ~ spl6_6 ),
    inference(avatar_contradiction_clause,[],[f3674]) ).

cnf(s1,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(sat_conversion,[],[f53]) ).

cnf(s2,plain,
    ( spl6_3
    | spl6_4
    | spl6_5 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s3,plain,
    ~ spl6_3,
    inference(sat_conversion,[],[f114]) ).

cnf(s4,plain,
    ( spl6_3
    | spl6_4
    | spl6_6 ),
    inference(sat_conversion,[],[f124]) ).

cnf(s5,plain,
    ~ spl6_4,
    inference(sat_conversion,[],[f142]) ).

cnf(s7,plain,
    ( spl6_1
    | ~ spl6_5 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s11,plain,
    ( spl6_2
    | ~ spl6_6 ),
    inference(sat_conversion,[],[f3675]) ).

cnf(s12,plain,
    ( spl6_3
    | spl6_6 ),
    inference(rat,[],[s4,s5]) ).

cnf(s13,plain,
    spl6_6,
    inference(rat,[],[s12,s3]) ).

cnf(s14,plain,
    spl6_2,
    inference(rat,[],[s11,s13]) ).

cnf(s15,plain,
    spl6_5,
    inference(rat,[],[s2,s5,s3]) ).

cnf(s16,plain,
    spl6_1,
    inference(rat,[],[s7,s15]) ).

cnf(s17,plain,
    $false,
    inference(rat,[],[s1,s14,s16]) ).

fof(f3680,plain,
    $false,
    inference(avatar_sat_refutation,[],[s17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET984+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  % Computer : n007.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Mon Sep 28 03:15:55 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  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
% 2.94/1.38  % (1994989)Detected formulas, will run a generic FOF schedule.
% 2.94/1.38  % (1995057)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=435139181:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.94/1.38  % (1995057)Instruction limit reached! 
% 2.94/1.38  % (1995057)------------------------------
% 2.94/1.38  % (1995057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.38  % (1995057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.38  % (1995057)CaDiCaL version: 2.1.3
% 2.94/1.38  % (1995057)Termination reason: Instruction limit
% 2.94/1.38  % (1995057)Termination phase: Saturation
% 2.94/1.38  % (1995057)Time elapsed: 0.040 s
% 2.94/1.38  % (1995057)Peak memory usage: 89 MB
% 2.94/1.38  % (1995057)Instructions burned: 109 (million)
% 2.94/1.38  % (1995055)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=1823575909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.94/1.38  % (1995054)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=2123993423:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.94/1.38  % (1995052)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=3525406389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.94/1.38  % (1995059)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=736458780:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.94/1.38  % (1995062)dis-21_1_sil=8000:lcm=predicate:random_seed=4150205800: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)
% 2.94/1.38  % (1995062)Refutation not found, incomplete strategy
% 2.94/1.38  % (1995062)------------------------------
% 2.94/1.38  % (1995062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.38  % (1995062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.38  % (1995062)CaDiCaL version: 2.1.3
% 2.94/1.38  % (1995062)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.38  % (1995062)Time elapsed: 0.002 s
% 2.94/1.38  % (1995062)Peak memory usage: 88 MB
% 2.94/1.38  % (1995062)Instructions burned: 1 (million)
% 2.94/1.38  % (1995060)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2578184830:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.94/1.38  % (1995060)First to succeed.
% 2.94/1.38  % (1995059)Instruction limit reached! 
% 2.94/1.38  % (1995059)------------------------------
% 2.94/1.38  % (1995059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.38  % (1995059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.38  % (1995059)CaDiCaL version: 2.1.3
% 2.94/1.38  % (1995059)Termination reason: Instruction limit
% 2.94/1.38  % (1995059)Termination phase: Saturation
% 2.94/1.38  % (1995059)Time elapsed: 0.065 s
% 2.94/1.38  % (1995059)Peak memory usage: 88 MB
% 2.94/1.38  % (1995059)Instructions burned: 119 (million)
% 2.94/1.38  % (1995060)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1994989"
% 2.94/1.38  % (1995111)lrs+10_1_sil=8000:sp=occurrence:random_seed=3295612946:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.94/1.38  % (1995111)Also succeeded, but the first one will report.
% 2.94/1.38  % (1995133)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2459561103:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.94/1.38  % (1995133)Also succeeded, but the first one will report.
% 2.94/1.38  % (1995062)------------------------------
% 2.94/1.38  % (1995062)------------------------------
% 2.94/1.38  % (1995060)Refutation found. Thanks to Tanya!
% 2.94/1.38  % SZS status Theorem for theBenchmark
% 2.94/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.48  % (1995060)------------------------------
% 3.99/1.48  % (1995060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.48  % (1995060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.48  % (1995060)CaDiCaL version: 2.1.3
% 3.99/1.48  % (1995060)Termination reason: Refutation
% 3.99/1.48  % (1995060)Time elapsed: 0.059 s
% 3.99/1.48  % (1995060)Peak memory usage: 91 MB
% 3.99/1.48  % (1995060)Instructions burned: 99 (million)
% 3.99/1.48  % (1995060)------------------------------
% 3.99/1.48  % (1995060)------------------------------
% 3.99/1.48  % (1994989)Success in time 0.484 s
% 3.99/1.48  % Vampire exiting
%------------------------------------------------------------------------------