↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV401+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 01:09:07 PM UTC 2026

% Result   : Theorem 2.56s 1.60s
% Output   : Refutation 5.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (   9 unt;   5 def)
%            Number of atoms       :  217 (  29 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  220 (  85   ~;  94   |;  25   &)
%                                         (   7 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  141 (   0 sgn 123   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
    <=> ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( strictly_less_than(X3,X2)
     => update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3] :
      ( less_than(X2,X3)
     => update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f19,conjecture,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( pair_in_list(X0,X1,X2)
            & less_than(X3,X2) )
         => pair_in_list(update_slb(X0,X3),X1,X2) )
     => ! [X4,X5,X6,X7,X8] :
          ( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
            & less_than(X6,X5) )
         => pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l37_co) ).

fof(f20,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1,X2,X3] :
            ( ( pair_in_list(X0,X1,X2)
              & less_than(X3,X2) )
           => pair_in_list(update_slb(X0,X3),X1,X2) )
       => ! [X4,X5,X6,X7,X8] :
            ( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
              & less_than(X6,X5) )
           => pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( less_than(X0,X1)
        & ~ less_than(X1,X0) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(flattening,[],[f24]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] :
      ( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
      | ~ strictly_less_than(X3,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
      | ~ less_than(X2,X3) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f32,plain,
    ? [X0] :
      ( ? [X4,X5,X6,X7,X8] :
          ( ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5)
          & pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
          & less_than(X6,X5) )
      & ! [X1,X2,X3] :
          ( pair_in_list(update_slb(X0,X3),X1,X2)
          | ~ pair_in_list(X0,X1,X2)
          | ~ less_than(X3,X2) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f33,plain,
    ? [X0] :
      ( ? [X4,X5,X6,X7,X8] :
          ( ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X5)
          & pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
          & less_than(X6,X5) )
      & ! [X1,X2,X3] :
          ( pair_in_list(update_slb(X0,X3),X1,X2)
          | ~ pair_in_list(X0,X1,X2)
          | ~ less_than(X3,X2) ) ),
    inference(flattening,[],[f32]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
        | ( ~ pair_in_list(X0,X2,X4)
          & ( X1 != X2
            | X3 != X4 ) ) )
      & ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 )
        | ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
        | ( ~ pair_in_list(X0,X2,X4)
          & ( X1 != X2
            | X3 != X4 ) ) )
      & ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 )
        | ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
    inference(flattening,[],[f36]) ).

fof(f38,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X5)),X3),X1,X2)
          & pair_in_list(insert_slb(X0,pair(X4,X5)),X1,X2)
          & less_than(X3,X2) )
      & ! [X6,X7,X8] :
          ( pair_in_list(update_slb(X0,X8),X6,X7)
          | ~ pair_in_list(X0,X6,X7)
          | ~ less_than(X8,X7) ) ),
    inference(rectify,[],[f33]) ).

fof(f39,plain,
    ( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK2)
    & pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2)
    & less_than(sK3,sK2)
    & ! [X6,X7,X8] :
        ( pair_in_list(update_slb(sK0,X8),X6,X7)
        | ~ pair_in_list(sK0,X6,X7)
        | ~ less_than(X8,X7) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f38]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f52,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | X3 = X4
      | pair_in_list(X0,X2,X4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | X1 = X2
      | pair_in_list(X0,X2,X4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | X1 != X2
      | X3 != X4 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | ~ pair_in_list(X0,X2,X4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,X2)
      | update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f62,plain,
    ! [X2,X3,X0,X1] :
      ( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
      | ~ less_than(X2,X3) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f63,plain,
    ! [X8,X6,X7] :
      ( ~ pair_in_list(sK0,X6,X7)
      | pair_in_list(update_slb(sK0,X8),X6,X7)
      | ~ less_than(X8,X7) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f64,plain,
    less_than(sK3,sK2),
    inference(cnf_transformation,[],[f39]) ).

fof(f65,plain,
    pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2),
    inference(cnf_transformation,[],[f39]) ).

fof(f66,plain,
    ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK2),
    inference(cnf_transformation,[],[f39]) ).

fof(f68,plain,
    ! [X2,X3,X0,X4] :
      ( pair_in_list(insert_slb(X0,pair(X2,X3)),X2,X4)
      | X3 != X4 ),
    inference(equality_resolution,[],[f54]) ).

fof(f69,plain,
    ! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
    inference(equality_resolution,[],[f68]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f43,f41]) ).

fof(f75,plain,
    ( sK2 = sK5
    | pair_in_list(sK0,sK1,sK2) ),
    inference(resolution,[],[f52,f65]) ).

fof(f79,definition,
    ( spl6_1
  <=> pair_in_list(sK0,sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f81,plain,
    ( pair_in_list(sK0,sK1,sK2)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f83,definition,
    ( spl6_2
  <=> sK2 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

fof(f85,plain,
    ( sK2 = sK5
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f86,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f75,f83,f79]) ).

fof(f89,plain,
    ( sK1 = sK4
    | pair_in_list(sK0,sK1,sK2) ),
    inference(resolution,[],[f53,f65]) ).

fof(f93,definition,
    ( spl6_3
  <=> sK1 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

fof(f95,plain,
    ( sK1 = sK4
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f96,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f89,f93,f79]) ).

fof(f97,plain,
    ( ! [X0] :
        ( pair_in_list(update_slb(sK0,X0),sK1,sK2)
        | ~ less_than(X0,sK2) )
    | ~ spl6_1 ),
    inference(resolution,[],[f81,f63]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(X3,X2)
      | update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X3)) ),
    inference(resolution,[],[f61,f70]) ).

fof(f101,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK2)
    | ~ less_than(sK3,sK5) ),
    inference(superposition,[],[f66,f62]) ).

fof(f110,definition,
    ( spl6_4
  <=> less_than(sK3,sK5) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

fof(f112,plain,
    ( ~ less_than(sK3,sK5)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f114,definition,
    ( spl6_5
  <=> pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f116,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK2)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f117,plain,
    ( ~ spl6_4
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f101,f114,f110]) ).

fof(f120,plain,
    ( ! [X0,X1] : update_slb(insert_slb(X0,pair(X1,sK5)),sK3) = insert_slb(update_slb(X0,sK3),pair(X1,sK3))
    | spl6_4 ),
    inference(resolution,[],[f100,f112]) ).

fof(f130,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK2)
    | spl6_4 ),
    inference(superposition,[],[f66,f120]) ).

fof(f151,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK2)
    | spl6_4 ),
    inference(resolution,[],[f130,f55]) ).

fof(f163,plain,
    ( ~ less_than(sK3,sK2)
    | ~ spl6_1
    | spl6_4 ),
    inference(resolution,[],[f151,f97]) ).

fof(f164,plain,
    ( $false
    | ~ spl6_1
    | spl6_4 ),
    inference(forward_subsumption_resolution,[],[f163,f64]) ).

fof(f165,plain,
    ( ~ spl6_1
    | spl6_4 ),
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f168,plain,
    ( ~ less_than(sK3,sK2)
    | ~ spl6_2
    | spl6_4 ),
    inference(superposition,[],[f112,f85]) ).

fof(f177,plain,
    ( $false
    | ~ spl6_2
    | spl6_4 ),
    inference(forward_subsumption_resolution,[],[f168,f64]) ).

fof(f178,plain,
    ( ~ spl6_2
    | spl6_4 ),
    inference(avatar_contradiction_clause,[],[f177]) ).

fof(f180,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK2)),sK1,sK2)
    | ~ spl6_2
    | spl6_5 ),
    inference(forward_demodulation,[],[f116,f85]) ).

fof(f186,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK1,sK2)),sK1,sK2)
    | ~ spl6_2
    | ~ spl6_3
    | spl6_5 ),
    inference(forward_demodulation,[],[f180,f95]) ).

fof(f187,plain,
    ( $false
    | ~ spl6_2
    | ~ spl6_3
    | spl6_5 ),
    inference(forward_subsumption_resolution,[],[f186,f69]) ).

fof(f188,plain,
    ( ~ spl6_2
    | ~ spl6_3
    | spl6_5 ),
    inference(avatar_contradiction_clause,[],[f187]) ).

fof(f189,plain,
    ( ! [X0] :
        ( pair_in_list(update_slb(sK0,X0),sK1,sK2)
        | ~ less_than(X0,sK2) )
    | ~ spl6_1 ),
    inference(resolution,[],[f81,f63]) ).

fof(f190,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK2)
    | spl6_5 ),
    inference(resolution,[],[f116,f55]) ).

fof(f191,plain,
    ( ~ less_than(sK3,sK2)
    | ~ spl6_1
    | spl6_5 ),
    inference(resolution,[],[f189,f190]) ).

fof(f192,plain,
    ( $false
    | ~ spl6_1
    | spl6_5 ),
    inference(forward_subsumption_resolution,[],[f191,f64]) ).

fof(f193,plain,
    ( ~ spl6_1
    | spl6_5 ),
    inference(avatar_contradiction_clause,[],[f192]) ).

cnf(s1,plain,
    ( spl6_1
    | spl6_2 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s2,plain,
    ( spl6_1
    | spl6_3 ),
    inference(sat_conversion,[],[f96]) ).

cnf(s4,plain,
    ( ~ spl6_4
    | ~ spl6_5 ),
    inference(sat_conversion,[],[f117]) ).

cnf(s5,plain,
    ( ~ spl6_1
    | spl6_4 ),
    inference(sat_conversion,[],[f165]) ).

cnf(s7,plain,
    ( ~ spl6_2
    | spl6_4 ),
    inference(sat_conversion,[],[f178]) ).

cnf(s8,plain,
    ( ~ spl6_2
    | ~ spl6_3
    | spl6_5 ),
    inference(sat_conversion,[],[f188]) ).

cnf(s9,plain,
    ( ~ spl6_1
    | spl6_5 ),
    inference(sat_conversion,[],[f193]) ).

cnf(s10,plain,
    ( ~ spl6_2
    | ~ spl6_3 ),
    inference(rat,[],[s4,s7,s8]) ).

cnf(s11,plain,
    spl6_1,
    inference(rat,[],[s10,s1,s2]) ).

cnf(s12,plain,
    spl6_5,
    inference(rat,[],[s9,s11]) ).

cnf(s13,plain,
    spl6_4,
    inference(rat,[],[s5,s11]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s4,s12,s13]) ).

fof(f194,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV401+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25  % Computer : n015.cluster.edu
% 0.11/0.25  % Model    : x86_64 x86_64
% 0.11/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25  % Memory   : 8046.5625MB
% 0.11/0.25  % OS       : Linux 6.8.0-71-generic
% 0.11/0.25  % CPULimit : 300
% 0.11/0.25  % WCLimit  : 300
% 0.11/0.25  % DateTime : Mon Sep 28 10:54:02 UTC 2026
% 0.11/0.26  % CPUTime  : 
% 0.11/0.26  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31  Running first-order theorem proving
% 0.26/0.31  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
% 2.56/1.60  % (2541159)Detected formulas, will run a generic FOF schedule.
% 2.56/1.60  % (2541174)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=3902148761:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.56/1.60  % (2541178)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=630425264:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.56/1.60  % (2541177)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1896887410:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.56/1.60  % (2541176)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=3416102174:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.56/1.60  % (2541175)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=3444726755:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.56/1.60  % (2541179)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1261065073:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.56/1.60  % (2541179)First to succeed.
% 2.56/1.60  % (2541180)dis-21_1_sil=8000:lcm=predicate:random_seed=1946215430: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)
% 2.56/1.60  % (2541179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2541159"
% 2.56/1.60  % (2541180)Refutation not found, incomplete strategy
% 2.56/1.60  % (2541180)------------------------------
% 2.56/1.60  % (2541180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.60  % (2541180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.60  % (2541180)CaDiCaL version: 2.1.3
% 2.56/1.60  % (2541180)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.60  % (2541180)Time elapsed: 0.004 s
% 2.56/1.60  % (2541180)Peak memory usage: 88 MB
% 2.56/1.60  % (2541180)Instructions burned: 2 (million)
% 2.56/1.60  % (2541178)Instruction limit reached! 
% 2.56/1.60  % (2541178)------------------------------
% 2.56/1.60  % (2541178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.60  % (2541178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.60  % (2541178)CaDiCaL version: 2.1.3
% 2.56/1.60  % (2541178)Termination reason: Instruction limit
% 2.56/1.60  % (2541178)Termination phase: Saturation
% 2.56/1.60  % (2541178)Time elapsed: 0.097 s
% 2.56/1.60  % (2541178)Peak memory usage: 88 MB
% 2.56/1.60  % (2541178)Instructions burned: 120 (million)
% 2.56/1.60  % (2541177)Instruction limit reached! 
% 2.56/1.60  % (2541177)------------------------------
% 2.56/1.60  % (2541177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.60  % (2541177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.60  % (2541177)CaDiCaL version: 2.1.3
% 2.56/1.60  % (2541177)Termination reason: Instruction limit
% 2.56/1.60  % (2541177)Termination phase: Saturation
% 2.56/1.60  % (2541177)Time elapsed: 0.077 s
% 2.56/1.60  % (2541177)Peak memory usage: 88 MB
% 2.56/1.60  % (2541177)Instructions burned: 110 (million)
% 2.56/1.60  % (2541193)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2332688963:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.56/1.60  % (2541192)lrs+10_1_sil=8000:sp=occurrence:random_seed=815722460:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.56/1.60  % (2541179)Refutation found. Thanks to Tanya!
% 2.56/1.60  % SZS status Theorem for theBenchmark
% 2.56/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.84  % (2541179)------------------------------
% 5.77/1.84  % (2541179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.84  % (2541179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.84  % (2541179)CaDiCaL version: 2.1.3
% 5.77/1.84  % (2541179)Termination reason: Refutation
% 5.77/1.84  % (2541179)Time elapsed: 0.009 s
% 5.77/1.84  % (2541179)Peak memory usage: 90 MB
% 5.77/1.84  % (2541179)Instructions burned: 10 (million)
% 5.77/1.84  % (2541179)------------------------------
% 5.77/1.84  % (2541179)------------------------------
% 5.77/1.84  % (2541159)Success in time 0.683 s
% 5.77/1.84  % Vampire exiting
%------------------------------------------------------------------------------