↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU159+1 : 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 : n018.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 12:47:29 PM UTC 2026

% Result   : Theorem 2.57s 1.29s
% Output   : Refutation 3.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   73 (   7 unt;   5 def)
%            Number of atoms       :  244 (  62 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  274 ( 103   ~; 123   |;  35   &)
%                                         (  11 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   91 (   0 sgn  77   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2] :
      ( X2 = unordered_pair(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X3 = X0
            | X3 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f7,conjecture,
    ! [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <=> ( in(X0,X2)
        & in(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(unordered_pair(X0,X1),X2)
      <=> ( in(X0,X2)
          & in(X1,X2) ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f12,plain,
    ? [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <~> ( in(X0,X2)
        & in(X1,X2) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ( X2 = unordered_pair(X0,X1)
        | ? [X3] :
            ( ( ( X0 != X3
                & X1 != X3 )
              | ~ in(X3,X2) )
            & ( X3 = X0
              | X3 = X1
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( X0 != X3
                & X1 != X3 ) )
            & ( X3 = X0
              | X3 = X1
              | ~ in(X3,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ( X2 = unordered_pair(X0,X1)
        | ? [X3] :
            ( ( ( X0 != X3
                & X1 != X3 )
              | ~ in(X3,X2) )
            & ( X3 = X0
              | X3 = X1
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( X0 != X3
                & X1 != X3 ) )
            & ( X3 = X0
              | X3 = X1
              | ~ in(X3,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( ( X2 = unordered_pair(X0,X1)
        | ? [X3] :
            ( ( ( X0 != X3
                & X1 != X3 )
              | ~ in(X3,X2) )
            & ( X3 = X0
              | X3 = X1
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( X0 != X4
                & X1 != X4 ) )
            & ( X0 = X4
              | X1 = X4
              | ~ in(X4,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(rectify,[],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( X2 = unordered_pair(X0,X1)
        | ( ( ( sK0(X0,X1,X2) != X0
              & sK0(X0,X1,X2) != X1 )
            | ~ in(sK0(X0,X1,X2),X2) )
          & ( sK0(X0,X1,X2) = X0
            | sK0(X0,X1,X2) = X1
            | in(sK0(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( X0 != X4
                & X1 != X4 ) )
            & ( X0 = X4
              | X1 = X4
              | ~ in(X4,X2) ) )
        | unordered_pair(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f15]) ).

fof(f17,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,[],[f11]) ).

fof(f18,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,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK1(X0,X1),X1)
          & in(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f18]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,X2)
        | ~ in(X1,X2)
        | ~ subset(unordered_pair(X0,X1),X2) )
      & ( ( in(X0,X2)
          & in(X1,X2) )
        | subset(unordered_pair(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,X2)
        | ~ in(X1,X2)
        | ~ subset(unordered_pair(X0,X1),X2) )
      & ( ( in(X0,X2)
          & in(X1,X2) )
        | subset(unordered_pair(X0,X1),X2) ) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ( ( ~ in(sK2,sK4)
      | ~ in(sK3,sK4)
      | ~ subset(unordered_pair(sK2,sK3),sK4) )
    & ( ( in(sK2,sK4)
        & in(sK3,sK4) )
      | subset(unordered_pair(sK2,sK3),sK4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f21]) ).

fof(f25,plain,
    ! [X2,X0,X1,X4] :
      ( X0 = X4
      | X1 = X4
      | ~ in(X4,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | X1 != X4
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | X0 != X4
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f31,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( in(sK1(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ in(sK1(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    ( in(sK3,sK4)
    | subset(unordered_pair(sK2,sK3),sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ( in(sK2,sK4)
    | subset(unordered_pair(sK2,sK3),sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    ( ~ in(sK2,sK4)
    | ~ in(sK3,sK4)
    | ~ subset(unordered_pair(sK2,sK3),sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    ! [X2,X1,X4] :
      ( in(X4,X2)
      | unordered_pair(X4,X1) != X2 ),
    inference(equality_resolution,[],[f27]) ).

fof(f39,plain,
    ! [X1,X4] : in(X4,unordered_pair(X4,X1)),
    inference(equality_resolution,[],[f38]) ).

fof(f40,plain,
    ! [X2,X0,X4] :
      ( in(X4,X2)
      | unordered_pair(X0,X4) != X2 ),
    inference(equality_resolution,[],[f26]) ).

fof(f41,plain,
    ! [X0,X4] : in(X4,unordered_pair(X0,X4)),
    inference(equality_resolution,[],[f40]) ).

fof(f42,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,unordered_pair(X0,X1))
      | X1 = X4
      | X0 = X4 ),
    inference(equality_resolution,[],[f25]) ).

fof(f44,definition,
    ( spl5_1
  <=> subset(unordered_pair(sK2,sK3),sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).

fof(f45,plain,
    ( ~ subset(unordered_pair(sK2,sK3),sK4)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f46,plain,
    ( subset(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f48,definition,
    ( spl5_2
  <=> in(sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).

fof(f50,plain,
    ( in(sK3,sK4)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f51,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f35,f48,f44]) ).

fof(f53,definition,
    ( spl5_3
  <=> in(sK2,sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).

fof(f55,plain,
    ( in(sK2,sK4)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f56,plain,
    ( spl5_1
    | spl5_3 ),
    inference(avatar_split_clause,[],[f36,f53,f44]) ).

fof(f57,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f37,f53,f48,f44]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( subset(unordered_pair(X1,X0),X2)
      | sK1(unordered_pair(X1,X0),X2) = X1
      | sK1(unordered_pair(X1,X0),X2) = X0 ),
    inference(resolution,[],[f42,f32]) ).

fof(f91,definition,
    ( spl5_4
  <=> sK3 = sK1(unordered_pair(sK2,sK3),sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).

fof(f93,plain,
    ( sK3 = sK1(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f95,definition,
    ( spl5_5
  <=> sK2 = sK1(unordered_pair(sK2,sK3),sK4) ),
    introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).

fof(f97,plain,
    ( sK2 = sK1(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ in(X0,unordered_pair(sK2,sK3))
        | in(X0,sK4) )
    | ~ spl5_1 ),
    inference(resolution,[],[f46,f31]) ).

fof(f100,plain,
    ( in(sK2,sK4)
    | ~ spl5_1 ),
    inference(resolution,[],[f99,f39]) ).

fof(f101,plain,
    ( in(sK3,sK4)
    | ~ spl5_1 ),
    inference(resolution,[],[f99,f41]) ).

fof(f105,plain,
    ( spl5_3
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f100,f44,f53]) ).

fof(f106,plain,
    ( spl5_2
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f101,f44,f48]) ).

fof(f109,plain,
    ( sK2 = sK1(unordered_pair(sK2,sK3),sK4)
    | sK3 = sK1(unordered_pair(sK2,sK3),sK4)
    | spl5_1 ),
    inference(resolution,[],[f45,f75]) ).

fof(f110,plain,
    ( spl5_4
    | spl5_5
    | spl5_1 ),
    inference(avatar_split_clause,[],[f109,f44,f95,f91]) ).

fof(f112,plain,
    ( ~ in(sK3,sK4)
    | subset(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_4 ),
    inference(superposition,[],[f33,f93]) ).

fof(f114,plain,
    ( subset(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_subsumption_resolution,[],[f112,f50]) ).

fof(f115,plain,
    ( $false
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_subsumption_resolution,[],[f114,f45]) ).

fof(f116,plain,
    ( spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f127,plain,
    ( ~ in(sK2,sK4)
    | subset(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_5 ),
    inference(superposition,[],[f33,f97]) ).

fof(f129,plain,
    ( subset(unordered_pair(sK2,sK3),sK4)
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(forward_subsumption_resolution,[],[f127,f55]) ).

fof(f130,plain,
    ( $false
    | spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(forward_subsumption_resolution,[],[f129,f45]) ).

fof(f131,plain,
    ( spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(avatar_contradiction_clause,[],[f130]) ).

cnf(s1,plain,
    ( spl5_1
    | spl5_2 ),
    inference(sat_conversion,[],[f51]) ).

cnf(s2,plain,
    ( spl5_1
    | spl5_3 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s3,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(sat_conversion,[],[f57]) ).

cnf(s6,plain,
    ( ~ spl5_1
    | spl5_3 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s7,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(sat_conversion,[],[f106]) ).

cnf(s8,plain,
    ( spl5_1
    | spl5_4
    | spl5_5 ),
    inference(sat_conversion,[],[f110]) ).

cnf(s9,plain,
    ( spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(sat_conversion,[],[f116]) ).

cnf(s10,plain,
    ( spl5_1
    | ~ spl5_3
    | ~ spl5_5 ),
    inference(sat_conversion,[],[f131]) ).

cnf(s11,plain,
    spl5_1,
    inference(rat,[],[s8,s9,s10,s1,s2]) ).

cnf(s12,plain,
    spl5_2,
    inference(rat,[],[s7,s11]) ).

cnf(s13,plain,
    spl5_3,
    inference(rat,[],[s6,s11]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s3,s13,s12,s11]) ).

fof(f132,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU159+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n018.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 03:50:24 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 2.57/1.29  % (2976765)Detected formulas, will run a generic FOF schedule.
% 2.57/1.29  % (2976774)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3073640419:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.57/1.29  % (2976774)Instruction limit reached! 
% 2.57/1.29  % (2976774)------------------------------
% 2.57/1.29  % (2976774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.29  % (2976774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.29  % (2976774)CaDiCaL version: 2.1.3
% 2.57/1.29  % (2976774)Termination reason: Instruction limit
% 2.57/1.29  % (2976774)Termination phase: Saturation
% 2.57/1.29  % (2976774)Time elapsed: 0.030 s
% 2.57/1.29  % (2976774)Peak memory usage: 88 MB
% 2.57/1.29  % (2976774)Instructions burned: 120 (million)
% 2.57/1.29  % (2976771)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=3026711422:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.57/1.29  % (2976773)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=388718468:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.57/1.29  % (2976775)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4058303802:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.57/1.29  % (2976772)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=3587679932:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.57/1.29  % (2976770)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=1418561008:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.57/1.29  % (2976776)dis-21_1_sil=8000:lcm=predicate:random_seed=3150099271: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)
% 2.57/1.29  % (2976773)Refutation not found, incomplete strategy
% 2.57/1.29  % (2976773)------------------------------
% 2.57/1.29  % (2976773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.29  % (2976773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.29  % (2976773)CaDiCaL version: 2.1.3
% 2.57/1.29  % (2976773)Termination reason: Refutation not found, incomplete strategy
% 2.57/1.29  % (2976773)Time elapsed: 0.001 s
% 2.57/1.29  % (2976773)Peak memory usage: 88 MB
% 2.57/1.29  % (2976775)First to succeed.
% 2.57/1.29  % (2976775)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2976765"
% 2.57/1.29  % (2976776)Instruction limit reached! 
% 2.57/1.29  % (2976776)------------------------------
% 2.57/1.29  % (2976776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.29  % (2976776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.29  % (2976776)CaDiCaL version: 2.1.3
% 2.57/1.29  % (2976776)Termination reason: Instruction limit
% 2.57/1.29  % (2976776)Termination phase: Saturation
% 2.57/1.29  % (2976776)Time elapsed: 0.075 s
% 2.57/1.29  % (2976776)Peak memory usage: 89 MB
% 2.57/1.29  % (2976776)Instructions burned: 131 (million)
% 2.57/1.29  % (2976778)lrs+10_1_sil=8000:sp=occurrence:random_seed=2623862391:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.57/1.29  % (2976778)Also succeeded, but the first one will report.
% 2.57/1.29  % (2976773)------------------------------
% 2.57/1.29  % (2976773)------------------------------
% 2.57/1.29  % (2976785)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2873219711:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.57/1.29  % (2976775)Refutation found. Thanks to Tanya!
% 2.57/1.29  % SZS status Theorem for theBenchmark
% 2.57/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48  % (2976775)------------------------------
% 3.63/1.48  % (2976775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48  % (2976775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48  % (2976775)CaDiCaL version: 2.1.3
% 3.63/1.48  % (2976775)Termination reason: Refutation
% 3.63/1.48  % (2976775)Time elapsed: 0.006 s
% 3.63/1.48  % (2976775)Peak memory usage: 90 MB
% 3.63/1.48  % (2976775)Instructions burned: 6 (million)
% 3.63/1.48  % (2976775)------------------------------
% 3.63/1.48  % (2976775)------------------------------
% 3.63/1.48  % (2976765)Success in time 0.432 s
% 3.63/1.48  % Vampire exiting
%------------------------------------------------------------------------------