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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV378+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 : n005.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 01:09:04 PM UTC 2026

% Result   : Theorem 3.17s 1.11s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   78 (  18 unt;   4 def)
%            Number of atoms       :  166 (  25 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  160 (  72   ~;  67   |;   7   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :  129 (   0 sgn 125   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( ( less_than(X0,X1)
        & less_than(X1,X2) )
     => less_than(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).

fof(f3,axiom,
    ! [X0] : less_than(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => X2 = bad ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f31,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ contains_slb(X1,X3)
     => remove_cpq(triple(X0,X1,X2),X3) = triple(X0,X1,bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

fof(f32,axiom,
    ! [X0,X1,X2,X3] :
      ( ( contains_slb(X1,X3)
        & less_than(lookup_slb(X1,X3),X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).

fof(f33,axiom,
    ! [X0,X1,X2,X3] :
      ( ( contains_slb(X1,X3)
        & strictly_less_than(X3,lookup_slb(X1,X3)) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l14_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

fof(f46,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f47,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f46]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( less_than(X0,X1)
        & ~ less_than(X1,X0) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( less_than(X0,X2)
      | ~ less_than(X0,X1)
      | ~ less_than(X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( less_than(X0,X2)
      | ~ less_than(X0,X1)
      | ~ less_than(X1,X2) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(flattening,[],[f55]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( X2 = bad
      | ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(X0,X1,bad)
      | contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
      | ~ contains_slb(X1,X3)
      | ~ less_than(lookup_slb(X1,X3),X3) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
      | ~ contains_slb(X1,X3)
      | ~ less_than(lookup_slb(X1,X3),X3) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ contains_slb(X1,X3)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3)) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ contains_slb(X1,X3)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3)) ),
    inference(flattening,[],[f73]) ).

fof(f82,plain,
    ? [X0,X1,X2,X3] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
      & ~ ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f89,plain,
    ( ok(remove_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ ok(triple(sK0,sK1,sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f82]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( less_than(X0,X2)
      | ~ less_than(X0,X1)
      | ~ less_than(X1,X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f92,plain,
    ! [X0] : less_than(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f124,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f47]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ok(triple(X0,X1,X2))
      | bad = X2 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( contains_slb(X1,X3)
      | triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less_than(lookup_slb(X1,X3),X3)
      | ~ contains_slb(X1,X3)
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | ~ contains_slb(X1,X3)
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f138,plain,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f89]) ).

fof(f139,plain,
    ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f89]) ).

fof(f143,plain,
    bad = sK2,
    inference(resolution,[],[f125,f138]) ).

fof(f145,plain,
    ok(remove_cpq(triple(sK0,sK1,bad),sK3)),
    inference(superposition,[],[f139,f143]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f93,f91]) ).

fof(f174,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(lookup_slb(X0,X1),X1)
      | ~ contains_slb(X0,X1)
      | remove_cpq(triple(X2,X0,X3),X1) = triple(remove_pqp(X2,X1),remove_slb(X0,X1),bad) ),
    inference(resolution,[],[f171,f129]) ).

fof(f362,definition,
    ( spl4_2
  <=> less_than(lookup_slb(sK1,sK3),sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f363,plain,
    ( less_than(lookup_slb(sK1,sK3),sK3)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f364,plain,
    ( ~ less_than(lookup_slb(sK1,sK3),sK3)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f388,plain,
    ( ! [X0] :
        ( ~ less_than(lookup_slb(sK1,sK3),X0)
        | ~ less_than(X0,sK3) )
    | spl4_2 ),
    inference(resolution,[],[f364,f90]) ).

fof(f392,definition,
    ( spl4_6
  <=> ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),bad) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),bad)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f395,definition,
    ( spl4_7
  <=> contains_slb(sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f396,plain,
    ( contains_slb(sK1,sK3)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f397,plain,
    ( ~ contains_slb(sK1,sK3)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f408,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK3) = triple(X0,sK1,bad)
    | spl4_7 ),
    inference(resolution,[],[f397,f127]) ).

fof(f415,plain,
    ( ! [X0,X1] :
        ( ~ less_than(sK3,sK3)
        | ~ contains_slb(sK1,sK3)
        | remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),bad) )
    | spl4_2 ),
    inference(resolution,[],[f388,f174]) ).

fof(f432,plain,
    ( ok(triple(sK0,sK1,bad))
    | spl4_7 ),
    inference(superposition,[],[f139,f408]) ).

fof(f437,plain,
    ( $false
    | spl4_7 ),
    inference(forward_subsumption_resolution,[],[f432,f124]) ).

fof(f438,plain,
    spl4_7,
    inference(avatar_contradiction_clause,[],[f437]) ).

fof(f439,plain,
    ( ! [X0,X1] :
        ( ~ contains_slb(sK1,sK3)
        | remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),bad) )
    | spl4_2 ),
    inference(forward_subsumption_resolution,[],[f415,f92]) ).

fof(f440,plain,
    ( spl4_6
    | ~ spl4_7
    | spl4_2 ),
    inference(avatar_split_clause,[],[f439,f362,f395,f392]) ).

fof(f591,plain,
    ( ! [X0,X1] : ~ ok(remove_cpq(triple(X0,sK1,X1),sK3))
    | ~ spl4_6 ),
    inference(superposition,[],[f124,f393]) ).

fof(f636,definition,
    ( spl4_14
  <=> ! [X2,X1] : remove_cpq(triple(X1,sK1,X2),sK3) = triple(remove_pqp(X1,sK3),remove_slb(sK1,sK3),X2) ),
    introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).

fof(f637,plain,
    ( ! [X2,X1] : remove_cpq(triple(X1,sK1,X2),sK3) = triple(remove_pqp(X1,sK3),remove_slb(sK1,sK3),X2)
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f645,plain,
    ( ! [X0,X1] :
        ( ~ contains_slb(sK1,sK3)
        | remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),X1) )
    | ~ spl4_2 ),
    inference(resolution,[],[f363,f128]) ).

fof(f646,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK1,X1),sK3) = triple(remove_pqp(X0,sK3),remove_slb(sK1,sK3),X1)
    | ~ spl4_2
    | ~ spl4_7 ),
    inference(forward_subsumption_resolution,[],[f645,f396]) ).

fof(f647,plain,
    ( spl4_14
    | ~ spl4_2
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f646,f395,f362,f636]) ).

fof(f656,plain,
    ( ! [X0] : ~ ok(remove_cpq(triple(X0,sK1,bad),sK3))
    | ~ spl4_14 ),
    inference(superposition,[],[f124,f637]) ).

fof(f696,plain,
    ( $false
    | ~ spl4_14 ),
    inference(resolution,[],[f656,f145]) ).

fof(f698,plain,
    ~ spl4_14,
    inference(avatar_contradiction_clause,[],[f696]) ).

fof(f729,plain,
    ( $false
    | ~ spl4_6 ),
    inference(resolution,[],[f591,f139]) ).

fof(f733,plain,
    ~ spl4_6,
    inference(avatar_contradiction_clause,[],[f729]) ).

cnf(s8,plain,
    spl4_7,
    inference(sat_conversion,[],[f438]) ).

cnf(s9,plain,
    ( spl4_2
    | spl4_6
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s16,plain,
    ( ~ spl4_2
    | ~ spl4_7
    | spl4_14 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s20,plain,
    ~ spl4_14,
    inference(sat_conversion,[],[f698]) ).

cnf(s23,plain,
    ~ spl4_6,
    inference(sat_conversion,[],[f733]) ).

cnf(s24,plain,
    ( ~ spl4_2
    | ~ spl4_7 ),
    inference(rat,[],[s16,s20]) ).

cnf(s28,plain,
    ( spl4_2
    | ~ spl4_7 ),
    inference(rat,[],[s9,s23]) ).

cnf(s29,plain,
    ~ spl4_2,
    inference(rat,[],[s24,s8]) ).

cnf(s31,plain,
    $false,
    inference(rat,[],[s28,s8,s29]) ).

fof(f734,plain,
    $false,
    inference(avatar_sat_refutation,[],[s31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV378+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n005.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 10:45:17 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  Running first-order theorem proving
% 0.09/0.20  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
% 3.17/1.11  % (711431)Detected formulas, will run a generic FOF schedule.
% 3.17/1.11  % (711437)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=2325969400:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.17/1.11  % (711440)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=458331070:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.17/1.11  % (711438)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=3348115780:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.17/1.11  % (711441)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=6286281:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.17/1.11  % (711439)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3283531558:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.17/1.11  % (711442)dis-21_1_sil=8000:lcm=predicate:random_seed=3109722168: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)
% 3.17/1.11  % (711436)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=3822959106:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.17/1.11  % (711439)Refutation not found, incomplete strategy
% 3.17/1.11  % (711439)------------------------------
% 3.17/1.11  % (711439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.11  % (711439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.11  % (711439)CaDiCaL version: 2.1.3
% 3.17/1.11  % (711439)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.11  % (711439)Time elapsed: 0.001 s
% 3.17/1.11  % (711439)Peak memory usage: 88 MB
% 3.17/1.11  % (711440)Refutation not found, incomplete strategy
% 3.17/1.11  % (711440)------------------------------
% 3.17/1.11  % (711440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.11  % (711440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.11  % (711440)CaDiCaL version: 2.1.3
% 3.17/1.11  % (711440)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.11  % (711440)Time elapsed: 0.002 s
% 3.17/1.11  % (711440)Peak memory usage: 88 MB
% 3.17/1.11  % (711440)Instructions burned: 1 (million)
% 3.17/1.11  % (711442)Refutation not found, incomplete strategy
% 3.17/1.11  % (711442)------------------------------
% 3.17/1.11  % (711442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.11  % (711442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.11  % (711442)CaDiCaL version: 2.1.3
% 3.17/1.11  % (711442)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.11  % (711442)Time elapsed: 0.003 s
% 3.17/1.11  % (711442)Peak memory usage: 88 MB
% 3.17/1.11  % (711442)Instructions burned: 3 (million)
% 3.17/1.11  % (711441)First to succeed.
% 3.17/1.11  % (711441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-711431"
% 3.17/1.11  % (711442)------------------------------
% 3.17/1.11  % (711442)------------------------------
% 3.17/1.11  % (711440)------------------------------
% 3.17/1.11  % (711440)------------------------------
% 3.17/1.11  % (711439)------------------------------
% 3.17/1.11  % (711439)------------------------------
% 3.17/1.11  % (711441)Refutation found. Thanks to Tanya!
% 3.17/1.11  % SZS status Theorem for theBenchmark
% 3.17/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.30  % (711441)------------------------------
% 3.85/1.30  % (711441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.30  % (711441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.30  % (711441)CaDiCaL version: 2.1.3
% 3.85/1.30  % (711441)Termination reason: Refutation
% 3.85/1.30  % (711441)Time elapsed: 0.036 s
% 3.85/1.30  % (711441)Peak memory usage: 90 MB
% 3.85/1.30  % (711441)Instructions burned: 47 (million)
% 3.85/1.30  % (711441)------------------------------
% 3.85/1.30  % (711441)------------------------------
% 3.85/1.30  % (711431)Success in time 0.464 s
% 3.85/1.30  % Vampire exiting
%------------------------------------------------------------------------------