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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU210+2 : 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 : n014.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 12:47:45 PM UTC 2026

% Result   : Theorem 5.60s 1.77s
% Output   : Refutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (   9 unt;   0 def)
%            Number of atoms       :  183 (  30 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  224 (  85   ~;  76   |;  47   &)
%                                         (   9 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  119 (  99   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0] :
      ( X0 = empty_set
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f30,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f131,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_inverse_image(X2,X1))
      <=> ? [X3] :
            ( in(X3,relation_rng(X2))
            & in(ordered_pair(X0,X3),X2)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).

fof(f133,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ~ ( X0 != empty_set
          & subset(X0,relation_rng(X1))
          & relation_inverse_image(X1,X0) = empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t174_relat_1) ).

fof(f134,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ~ ( X0 != empty_set
            & subset(X0,relation_rng(X1))
            & relation_inverse_image(X1,X0) = empty_set ) ),
    inference(negated_conjecture,[status(cth)],[f133]) ).

fof(f141,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X0,relation_dom(X2))
          & in(X1,relation_rng(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).

fof(f233,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f307,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_inverse_image(X2,X1))
      <=> ? [X3] :
            ( in(X3,relation_rng(X2))
            & in(ordered_pair(X0,X3),X2)
            & in(X3,X1) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f131]) ).

fof(f309,plain,
    ? [X0,X1] :
      ( X0 != empty_set
      & subset(X0,relation_rng(X1))
      & relation_inverse_image(X1,X0) = empty_set
      & relation(X1) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f310,plain,
    ? [X0,X1] :
      ( X0 != empty_set
      & subset(X0,relation_rng(X1))
      & relation_inverse_image(X1,X0) = empty_set
      & relation(X1) ),
    inference(flattening,[],[f309]) ).

fof(f316,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_dom(X2))
        & in(X1,relation_rng(X2)) )
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f141]) ).

fof(f317,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_dom(X2))
        & in(X1,relation_rng(X2)) )
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(flattening,[],[f316]) ).

fof(f410,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f411,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f410]) ).

fof(f412,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | in(sK19(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f411]) ).

fof(f434,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,[],[f233]) ).

fof(f435,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,[],[f434]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK32(X0,X1),X1)
          & in(sK32(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X0,X1))],[f435]) ).

fof(f451,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f235]) ).

fof(f452,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f451]) ).

fof(f453,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK41(X0,X1)),X0)
                | ~ in(sK41(X0,X1),X1) )
              & ( in(ordered_pair(sK42(X0,X1),sK41(X0,X1)),X0)
                | in(sK41(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK43(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42,sK43]),skolemize(X2,sK41(X0,X1)),skolemize(X4,sK42(X0,X1)),skolemize(X7,sK43(X0,X5))],[f452]) ).

fof(f487,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,relation_rng(X2))
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,X1) ) )
        & ( ? [X3] :
              ( in(X3,relation_rng(X2))
              & in(ordered_pair(X0,X3),X2)
              & in(X3,X1) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f307]) ).

fof(f488,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,relation_rng(X2))
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,X1) ) )
        & ( ? [X4] :
              ( in(X4,relation_rng(X2))
              & in(ordered_pair(X0,X4),X2)
              & in(X4,X1) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(rectify,[],[f487]) ).

fof(f489,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_inverse_image(X2,X1))
          | ! [X3] :
              ( ~ in(X3,relation_rng(X2))
              | ~ in(ordered_pair(X0,X3),X2)
              | ~ in(X3,X1) ) )
        & ( ( in(sK61(X0,X1,X2),relation_rng(X2))
            & in(ordered_pair(X0,sK61(X0,X1,X2)),X2)
            & in(sK61(X0,X1,X2),X1) )
          | ~ in(X0,relation_inverse_image(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X4,sK61(X0,X1,X2))],[f488]) ).

fof(f490,plain,
    ( empty_set != sK62
    & subset(sK62,relation_rng(sK63))
    & empty_set = relation_inverse_image(sK63,sK62)
    & relation(sK63) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62,sK63]),skolemize(X0,sK62),skolemize(X1,sK63)],[f310]) ).

fof(f566,plain,
    ! [X2,X0] :
      ( empty_set != X0
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f412]) ).

fof(f567,plain,
    ! [X0] :
      ( in(sK19(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f412]) ).

fof(f603,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f436]) ).

fof(f629,plain,
    ! [X0,X1,X5] :
      ( relation_rng(X0) != X1
      | ~ in(X5,X1)
      | in(ordered_pair(sK43(X0,X5),X5),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f453]) ).

fof(f758,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,relation_inverse_image(X2,X1))
      | ~ in(X3,relation_rng(X2))
      | ~ in(ordered_pair(X0,X3),X2)
      | ~ in(X3,X1)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f489]) ).

fof(f760,plain,
    relation(sK63),
    inference(cnf_transformation,[],[f490]) ).

fof(f761,plain,
    empty_set = relation_inverse_image(sK63,sK62),
    inference(cnf_transformation,[],[f490]) ).

fof(f762,plain,
    subset(sK62,relation_rng(sK63)),
    inference(cnf_transformation,[],[f490]) ).

fof(f763,plain,
    empty_set != sK62,
    inference(cnf_transformation,[],[f490]) ).

fof(f770,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),X2)
      | in(X1,relation_rng(X2))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f887,plain,
    ! [X0] : ~ in(X0,relation_inverse_image(sK63,sK62)),
    inference(unit_resulting_resolution,[],[f566,f761]) ).

fof(f892,plain,
    in(sK19(sK62),sK62),
    inference(unit_resulting_resolution,[],[f567,f763]) ).

fof(f938,plain,
    in(sK19(sK62),relation_rng(sK63)),
    inference(unit_resulting_resolution,[],[f603,f892,f762]) ).

fof(f1017,plain,
    ! [X0,X1] :
      ( in(ordered_pair(sK43(X1,X0),X0),X1)
      | ~ in(X0,relation_rng(X1))
      | ~ relation(X1) ),
    inference(equality_resolution,[],[f629]) ).

fof(f1189,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X3),X2)
      | in(X0,relation_inverse_image(X2,X1))
      | ~ in(X3,X1)
      | ~ relation(X2) ),
    inference(forward_subsumption_resolution,[],[f758,f770]) ).

fof(f1190,plain,
    ! [X0] : ~ in(ordered_pair(X0,sK19(sK62)),sK63),
    inference(unit_resulting_resolution,[],[f1189,f760,f892,f887]) ).

fof(f2384,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1017,f760,f938,f1190]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n014.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 : Mon Sep 28 04:03:46 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 4.17/1.57  % (1422102)Detected formulas, will run a generic FOF schedule.
% 4.17/1.57  % (1422111)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1879453864:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.17/1.57  % (1422109)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=1943184962:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.17/1.57  % (1422108)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=3940192382:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.17/1.57  % (1422107)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=171903379:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.17/1.57  % (1422111)Instruction limit reached! 
% 4.17/1.57  % (1422111)------------------------------
% 4.17/1.57  % (1422111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.57  % (1422111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.57  % (1422111)CaDiCaL version: 2.1.3
% 4.17/1.57  % (1422111)Termination reason: Instruction limit
% 4.17/1.57  % (1422111)Termination phase: Saturation
% 4.17/1.57  % (1422111)Time elapsed: 0.044 s
% 4.17/1.57  % (1422111)Peak memory usage: 89 MB
% 4.17/1.57  % (1422111)Instructions burned: 120 (million)
% 4.17/1.57  % (1422113)dis-21_1_sil=8000:lcm=predicate:random_seed=2941990367: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)
% 4.17/1.57  % (1422112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3709893496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.17/1.57  % (1422110)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=720403875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.17/1.57  % (1422110)Instruction limit reached! 
% 4.17/1.57  % (1422110)------------------------------
% 4.17/1.57  % (1422110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.57  % (1422110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.57  % (1422110)CaDiCaL version: 2.1.3
% 4.17/1.57  % (1422110)Termination reason: Instruction limit
% 4.17/1.57  % (1422110)Termination phase: Saturation
% 4.17/1.57  % (1422110)Time elapsed: 0.071 s
% 4.17/1.57  % (1422110)Peak memory usage: 90 MB
% 4.17/1.57  % (1422110)Instructions burned: 109 (million)
% 4.17/1.57  % (1422113)Instruction limit reached! 
% 4.17/1.57  % (1422113)------------------------------
% 4.17/1.57  % (1422113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.57  % (1422113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.57  % (1422113)CaDiCaL version: 2.1.3
% 4.17/1.57  % (1422113)Termination reason: Instruction limit
% 4.17/1.57  % (1422113)Termination phase: Saturation
% 4.17/1.57  % (1422113)Time elapsed: 0.075 s
% 4.17/1.57  % (1422113)Peak memory usage: 90 MB
% 4.17/1.57  % (1422113)Instructions burned: 129 (million)
% 4.17/1.57  % (1422112)Instruction limit reached! 
% 4.17/1.57  % (1422112)------------------------------
% 4.17/1.57  % (1422112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.57  % (1422112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.57  % (1422112)CaDiCaL version: 2.1.3
% 4.17/1.57  % (1422112)Termination reason: Instruction limit
% 4.17/1.57  % (1422112)Termination phase: Saturation
% 4.17/1.57  % (1422112)Time elapsed: 0.097 s
% 4.17/1.57  % (1422112)Peak memory usage: 90 MB
% 4.17/1.57  % (1422112)Instructions burned: 139 (million)
% 4.17/1.57  % (1422118)lrs+10_1_sil=8000:sp=occurrence:random_seed=280955102:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.17/1.57  % (1422118)Instruction limit reached! 
% 4.17/1.57  % (1422118)------------------------------
% 4.17/1.57  % (1422118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.57  % (1422118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.57  % (1422118)CaDiCaL version: 2.1.3
% 4.17/1.57  % (1422118)Termination reason: Instruction limit
% 4.17/1.57  % (1422118)Termination phase: Saturation
% 4.17/1.57  % (1422118)Time elapsed: 0.102 s
% 4.17/1.57  % (1422118)Peak memory usage: 93 MB
% 4.17/1.57  % (1422118)Instructions burned: 287 (million)
% 5.60/1.77  % (1422122)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3247394115:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.60/1.77  % (1422123)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3174384396:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.60/1.77  % (1422122)Refutation not found, incomplete strategy
% 5.60/1.77  % (1422122)------------------------------
% 5.60/1.77  % (1422122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.77  % (1422122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.77  % (1422122)CaDiCaL version: 2.1.3
% 5.60/1.77  % (1422122)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.77  % (1422122)Time elapsed: 0.008 s
% 5.60/1.77  % (1422122)Peak memory usage: 89 MB
% 5.60/1.77  % (1422122)Instructions burned: 11 (million)
% 5.60/1.77  % (1422124)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=2300701380:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.60/1.77  % (1422124)First to succeed.
% 5.60/1.77  % (1422124)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1422102"
% 5.60/1.77  % (1422126)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=69072451:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.60/1.77  % (1422126)Instruction limit reached! 
% 5.60/1.77  % (1422126)------------------------------
% 5.60/1.77  % (1422126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.77  % (1422126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.77  % (1422126)CaDiCaL version: 2.1.3
% 5.60/1.77  % (1422126)Termination reason: Instruction limit
% 5.60/1.77  % (1422126)Termination phase: Saturation
% 5.60/1.77  % (1422126)Time elapsed: 0.098 s
% 5.60/1.77  % (1422126)Peak memory usage: 90 MB
% 5.60/1.77  % (1422126)Instructions burned: 297 (million)
% 5.60/1.77  % (1422123)Instruction limit reached! 
% 5.60/1.77  % (1422123)------------------------------
% 5.60/1.77  % (1422123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.77  % (1422123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.77  % (1422123)CaDiCaL version: 2.1.3
% 5.60/1.77  % (1422123)Termination reason: Instruction limit
% 5.60/1.77  % (1422123)Termination phase: Saturation
% 5.60/1.77  % (1422123)Time elapsed: 0.219 s
% 5.60/1.77  % (1422123)Peak memory usage: 93 MB
% 5.60/1.77  % (1422123)Instructions burned: 326 (million)
% 5.60/1.77  % (1422122)------------------------------
% 5.60/1.77  % (1422122)------------------------------
% 5.60/1.77  % (1422124)Refutation found. Thanks to Tanya!
% 5.60/1.77  % SZS status Theorem for theBenchmark
% 5.60/1.77  % SZS output start Proof for theBenchmark
% See solution above
% 5.60/1.77  % (1422124)------------------------------
% 5.60/1.77  % (1422124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.77  % (1422124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.77  % (1422124)CaDiCaL version: 2.1.3
% 5.60/1.77  % (1422124)Termination reason: Refutation
% 5.60/1.77  % (1422124)Time elapsed: 0.037 s
% 5.60/1.77  % (1422124)Peak memory usage: 90 MB
% 5.60/1.77  % (1422124)Instructions burned: 58 (million)
% 5.60/1.77  % (1422124)------------------------------
% 5.60/1.77  % (1422124)------------------------------
% 5.60/1.77  % (1422102)Success in time 0.717 s
% 5.60/1.77  % Vampire exiting
%------------------------------------------------------------------------------