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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL499+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 11:52:37 AM UTC 2026

% Result   : Theorem 2.87s 1.29s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   98 (  34 unt;  12 def)
%            Number of atoms       :  200 (  12 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  184 (  82   ~;  76   |;   2   &)
%                                         (  16 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   65 (   0 sgn  64   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).

fof(f16,axiom,
    ( kn1
  <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn1) ).

fof(f22,axiom,
    ( r1
  <=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1) ).

fof(f24,axiom,
    ( r3
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f33,axiom,
    op_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_modus_ponens) ).

fof(f36,axiom,
    r1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3) ).

fof(f45,conjecture,
    kn1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn1) ).

fof(f46,negated_conjecture,
    ~ kn1,
    inference(negated_conjecture,[status(cth)],[f45]) ).

fof(f47,plain,
    ~ kn1,
    inference(flattening,[],[f46]) ).

fof(f50,plain,
    ( r3
   => ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f52,plain,
    ( r1
   => ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f53,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
   => kn1 ),
    inference(unused_predicate_definition_removal,[],[f16]) ).

fof(f55,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f56,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f55]) ).

fof(f57,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f56]) ).

fof(f59,plain,
    ( kn1
    | ? [X0] : ~ is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f60,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
    | ~ r1 ),
    inference(ennf_transformation,[],[f52]) ).

fof(f62,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ r3 ),
    inference(ennf_transformation,[],[f50]) ).

fof(f66,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f68,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f70,plain,
    ( kn1
    | ~ is_a_theorem(implies(sK0,and(sK0,sK0))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f59]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f57]) ).

fof(f73,plain,
    ( kn1
    | ~ is_a_theorem(implies(sK0,and(sK0,sK0))) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f74,plain,
    ! [X0] :
      ( is_a_theorem(implies(or(X0,X0),X0))
      | ~ r1 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
      | ~ r3 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f66]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f68]) ).

fof(f84,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f85,plain,
    op_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f87,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f88,plain,
    r1,
    inference(cnf_transformation,[],[f36]) ).

fof(f90,plain,
    r3,
    inference(cnf_transformation,[],[f38]) ).

fof(f97,plain,
    ~ kn1,
    inference(cnf_transformation,[],[f47]) ).

fof(f107,definition,
    ( spl1_3
  <=> op_implies_or ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f111,definition,
    ( spl1_4
  <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f112,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f113,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f82,f111,f107]) ).

fof(f123,definition,
    ( spl1_7
  <=> op_and ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f127,definition,
    ( spl1_8
  <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f128,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f129,plain,
    ( ~ spl1_7
    | spl1_8 ),
    inference(avatar_split_clause,[],[f80,f127,f123]) ).

fof(f155,definition,
    ( spl1_15
  <=> r3 ),
    introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).

fof(f159,definition,
    ( spl1_16
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).

fof(f160,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f161,plain,
    ( ~ spl1_15
    | spl1_16 ),
    inference(avatar_split_clause,[],[f76,f159,f155]) ).

fof(f171,definition,
    ( spl1_19
  <=> r1 ),
    introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).

fof(f175,definition,
    ( spl1_20
  <=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).

fof(f176,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
    | ~ spl1_20 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f177,plain,
    ( ~ spl1_19
    | spl1_20 ),
    inference(avatar_split_clause,[],[f74,f175,f171]) ).

fof(f179,definition,
    ( spl1_21
  <=> is_a_theorem(implies(sK0,and(sK0,sK0))) ),
    introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).

fof(f181,plain,
    ( ~ is_a_theorem(implies(sK0,and(sK0,sK0)))
    | spl1_21 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f183,definition,
    ( spl1_22
  <=> kn1 ),
    introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).

fof(f186,plain,
    ( ~ spl1_21
    | spl1_22 ),
    inference(avatar_split_clause,[],[f73,f183,f179]) ).

fof(f196,definition,
    ( spl1_25
  <=> modus_ponens ),
    introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition]) ).

fof(f200,definition,
    ( spl1_26
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition]) ).

fof(f201,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl1_26 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f202,plain,
    ( ~ spl1_25
    | spl1_26 ),
    inference(avatar_split_clause,[],[f71,f200,f196]) ).

fof(f203,plain,
    ~ spl1_22,
    inference(avatar_split_clause,[],[f97,f183]) ).

fof(f206,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f84,f107]) ).

fof(f209,plain,
    ( ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1)))
    | ~ spl1_4
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f128,f112]) ).

fof(f210,plain,
    spl1_7,
    inference(avatar_split_clause,[],[f85,f123]) ).

fof(f216,plain,
    spl1_25,
    inference(avatar_split_clause,[],[f87,f196]) ).

fof(f219,plain,
    spl1_19,
    inference(avatar_split_clause,[],[f88,f171]) ).

fof(f225,plain,
    spl1_15,
    inference(avatar_split_clause,[],[f90,f155]) ).

fof(f242,plain,
    ( ! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0)))
    | ~ spl1_4
    | ~ spl1_20 ),
    inference(superposition,[],[f176,f112]) ).

fof(f244,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X1,not(X0)),implies(X0,X1)))
    | ~ spl1_4
    | ~ spl1_16 ),
    inference(superposition,[],[f160,f112]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(X0,implies(sK0,and(sK0,sK0))))
        | ~ is_a_theorem(X0) )
    | spl1_21
    | ~ spl1_26 ),
    inference(resolution,[],[f201,f181]) ).

fof(f254,plain,
    ( ! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2)
    | ~ spl1_4
    | ~ spl1_8 ),
    inference(superposition,[],[f112,f209]) ).

fof(f299,plain,
    ( ~ is_a_theorem(or(and(sK0,sK0),not(sK0)))
    | ~ spl1_4
    | ~ spl1_16
    | spl1_21
    | ~ spl1_26 ),
    inference(resolution,[],[f245,f244]) ).

fof(f360,plain,
    ( ! [X0] : is_a_theorem(or(and(X0,X0),not(X0)))
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_20 ),
    inference(superposition,[],[f242,f254]) ).

fof(f385,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_16
    | ~ spl1_20
    | spl1_21
    | ~ spl1_26 ),
    inference(resolution,[],[f360,f299]) ).

fof(f390,plain,
    ( ~ spl1_4
    | ~ spl1_8
    | ~ spl1_16
    | ~ spl1_20
    | spl1_21
    | ~ spl1_26 ),
    inference(avatar_contradiction_clause,[],[f385]) ).

cnf(s2,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(sat_conversion,[],[f113]) ).

cnf(s4,plain,
    ( ~ spl1_7
    | spl1_8 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s8,plain,
    ( ~ spl1_15
    | spl1_16 ),
    inference(sat_conversion,[],[f161]) ).

cnf(s10,plain,
    ( ~ spl1_19
    | spl1_20 ),
    inference(sat_conversion,[],[f177]) ).

cnf(s11,plain,
    ( ~ spl1_21
    | spl1_22 ),
    inference(sat_conversion,[],[f186]) ).

cnf(s13,plain,
    ( ~ spl1_25
    | spl1_26 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s14,plain,
    ~ spl1_22,
    inference(sat_conversion,[],[f203]) ).

cnf(s16,plain,
    spl1_3,
    inference(sat_conversion,[],[f206]) ).

cnf(s18,plain,
    spl1_7,
    inference(sat_conversion,[],[f210]) ).

cnf(s22,plain,
    spl1_25,
    inference(sat_conversion,[],[f216]) ).

cnf(s24,plain,
    spl1_19,
    inference(sat_conversion,[],[f219]) ).

cnf(s28,plain,
    spl1_15,
    inference(sat_conversion,[],[f225]) ).

cnf(s39,plain,
    ( ~ spl1_4
    | ~ spl1_8
    | ~ spl1_16
    | ~ spl1_20
    | spl1_21
    | ~ spl1_26 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s40,plain,
    spl1_26,
    inference(rat,[],[s13,s22]) ).

cnf(s42,plain,
    ~ spl1_21,
    inference(rat,[],[s11,s14]) ).

cnf(s43,plain,
    spl1_20,
    inference(rat,[],[s10,s24]) ).

cnf(s45,plain,
    spl1_16,
    inference(rat,[],[s8,s28]) ).

cnf(s49,plain,
    spl1_8,
    inference(rat,[],[s4,s18]) ).

cnf(s50,plain,
    ~ spl1_4,
    inference(rat,[],[s39,s40,s42,s43,s45,s49]) ).

cnf(s52,plain,
    $false,
    inference(rat,[],[s2,s50,s16]) ).

fof(f391,plain,
    $false,
    inference(avatar_sat_refutation,[],[s52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL499+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n010.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 : Sun Sep 27 15:51:32 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
% 2.87/1.29  % (1126291)Detected formulas, will run a generic FOF schedule.
% 2.87/1.29  % (1126296)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=1924188892:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.29  % (1126298)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=2178167142:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.29  % (1126297)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=725846454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.29  % (1126300)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2968406512:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.29  % (1126299)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2693032955:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.29  % (1126300)Refutation not found, incomplete strategy
% 2.87/1.29  % (1126300)------------------------------
% 2.87/1.29  % (1126300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.29  % (1126300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.29  % (1126300)CaDiCaL version: 2.1.3
% 2.87/1.29  % (1126300)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.29  % (1126300)Time elapsed: 0.001 s
% 2.87/1.29  % (1126300)Peak memory usage: 86 MB
% 2.87/1.29  % (1126299)Refutation not found, incomplete strategy
% 2.87/1.29  % (1126299)------------------------------
% 2.87/1.29  % (1126299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.29  % (1126299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.29  % (1126299)CaDiCaL version: 2.1.3
% 2.87/1.29  % (1126299)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.29  % (1126299)Time elapsed: 0.001 s
% 2.87/1.29  % (1126299)Peak memory usage: 87 MB
% 2.87/1.29  % (1126302)dis-21_1_sil=8000:lcm=predicate:random_seed=2399512377: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)
% 2.87/1.29  % (1126302)Refutation not found, incomplete strategy
% 2.87/1.29  % (1126302)------------------------------
% 2.87/1.29  % (1126302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.29  % (1126302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.29  % (1126302)CaDiCaL version: 2.1.3
% 2.87/1.29  % (1126302)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.29  % (1126302)Time elapsed: 0.002 s
% 2.87/1.29  % (1126302)Peak memory usage: 88 MB
% 2.87/1.29  % (1126302)Instructions burned: 1 (million)
% 2.87/1.29  % (1126301)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1467022134:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.29  % (1126301)First to succeed.
% 2.87/1.29  % (1126301)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1126291"
% 2.87/1.29  % (1126299)------------------------------
% 2.87/1.29  % (1126299)------------------------------
% 2.87/1.29  % (1126300)------------------------------
% 2.87/1.29  % (1126300)------------------------------
% 2.87/1.29  % (1126302)------------------------------
% 2.87/1.29  % (1126302)------------------------------
% 2.87/1.29  % (1126301)Refutation found. Thanks to Tanya!
% 2.87/1.29  % SZS status Theorem for theBenchmark
% 2.87/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.48  % (1126301)------------------------------
% 3.65/1.48  % (1126301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48  % (1126301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48  % (1126301)CaDiCaL version: 2.1.3
% 3.65/1.48  % (1126301)Termination reason: Refutation
% 3.65/1.48  % (1126301)Time elapsed: 0.010 s
% 3.65/1.48  % (1126301)Peak memory usage: 89 MB
% 3.65/1.48  % (1126301)Instructions burned: 10 (million)
% 3.65/1.48  % (1126301)------------------------------
% 3.65/1.48  % (1126301)------------------------------
% 3.65/1.48  % (1126291)Success in time 0.435 s
% 3.65/1.48  % Vampire exiting
%------------------------------------------------------------------------------