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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET507-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 12:41:04 PM UTC 2026

% Result   : Unsatisfiable 2.64s 1.29s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  114 (  19 unt;   8 def)
%            Number of atoms       :  264 (  61 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  269 ( 119   ~; 142   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   65 (   0 sgn  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f48,axiom,
    ! [X0] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).

fof(f50,axiom,
    ! [X0] :
      ( ~ member(null_class,X0)
      | ~ subclass(image(successor_relation,X0),X0)
      | inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive3) ).

fof(f51,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).

fof(f67,axiom,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f68,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    inference(reorient_equations,[],[f67]) ).

fof(f69,axiom,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = X0
      | null_class = intersection(X0,regular(X0)) ),
    inference(reorient_equations,[],[f69]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | X0 = null_class
      | member(apply(choice,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice2) ).

fof(f74,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | null_class = X0
      | member(apply(choice,X0),X0) ),
    inference(reorient_equations,[],[f73]) ).

fof(f79,axiom,
    intersection(inverse(subset_relation),subset_relation) = identity_relation,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_relation) ).

fof(f80,plain,
    identity_relation = intersection(inverse(subset_relation),subset_relation),
    inference(reorient_equations,[],[f79]) ).

fof(f122,negated_conjecture,
    subclass(universal_class,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).

fof(f128,plain,
    ! [X0] :
      ( ~ inductive(complement(X0))
      | ~ member(null_class,X0) ),
    inference(resolution,[],[f24,f48]) ).

fof(f142,plain,
    ( ~ subclass(null_class,universal_class)
    | universal_class = null_class ),
    inference(resolution,[],[f7,f122]) ).

fof(f203,plain,
    universal_class = null_class,
    inference(forward_subsumption_resolution,[],[f142,f4]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ inductive(X0)
      | member(universal_class,X0) ),
    inference(superposition,[],[f48,f203]) ).

fof(f207,plain,
    member(universal_class,omega),
    inference(resolution,[],[f204,f51]) ).

fof(f208,plain,
    ! [X0] :
      ( universal_class = X0
      | null_class = intersection(X0,regular(X0)) ),
    inference(forward_demodulation,[],[f70,f203]) ).

fof(f209,plain,
    ! [X0] :
      ( universal_class = intersection(X0,regular(X0))
      | universal_class = X0 ),
    inference(forward_demodulation,[],[f208,f203]) ).

fof(f217,plain,
    ! [X0] :
      ( inductive(X0)
      | ~ subclass(image(successor_relation,X0),X0)
      | ~ member(universal_class,X0) ),
    inference(forward_demodulation,[],[f50,f203]) ).

fof(f238,plain,
    ! [X0] :
      ( member(apply(choice,X0),X0)
      | ~ member(X0,universal_class)
      | universal_class = X0 ),
    inference(forward_demodulation,[],[f74,f203]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ member(complement(X0),universal_class)
      | universal_class = complement(X0)
      | ~ member(apply(choice,complement(X0)),X0) ),
    inference(resolution,[],[f238,f24]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( universal_class = complement(X0)
      | ~ member(apply(choice,complement(X0)),X0)
      | ~ member(complement(X0),X1)
      | ~ subclass(X1,universal_class) ),
    inference(resolution,[],[f239,f1]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ member(apply(choice,complement(X0)),X0)
      | universal_class = complement(X0)
      | ~ member(complement(X0),X1) ),
    inference(forward_subsumption_resolution,[],[f244,f4]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( ~ member(apply(choice,complement(X0)),intersection(X0,X2))
      | ~ member(complement(X0),X1)
      | universal_class = complement(X0) ),
    inference(resolution,[],[f245,f21]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ member(apply(choice,complement(inverse(subset_relation))),identity_relation)
      | ~ member(complement(inverse(subset_relation)),X0)
      | universal_class = complement(inverse(subset_relation)) ),
    inference(superposition,[],[f256,f80]) ).

fof(f313,definition,
    ( spl0_22
  <=> universal_class = complement(inverse(subset_relation)) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f315,plain,
    ( universal_class = complement(inverse(subset_relation))
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f317,definition,
    ( spl0_23
  <=> ! [X0] : ~ member(complement(inverse(subset_relation)),X0) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X0] : ~ member(complement(inverse(subset_relation)),X0)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,definition,
    ( spl0_24
  <=> member(apply(choice,complement(inverse(subset_relation))),identity_relation) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f322,plain,
    ( ~ member(apply(choice,complement(inverse(subset_relation))),identity_relation)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f323,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f297,f320,f317,f313]) ).

fof(f324,plain,
    ( ! [X0] : ~ member(apply(choice,complement(inverse(subset_relation))),intersection(identity_relation,X0))
    | spl0_24 ),
    inference(resolution,[],[f322,f21]) ).

fof(f332,plain,
    ( ~ member(apply(choice,complement(inverse(subset_relation))),universal_class)
    | universal_class = identity_relation
    | spl0_24 ),
    inference(superposition,[],[f324,f209]) ).

fof(f334,definition,
    ( spl0_25
  <=> universal_class = identity_relation ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f336,plain,
    ( universal_class = identity_relation
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f338,definition,
    ( spl0_26
  <=> member(apply(choice,complement(inverse(subset_relation))),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f340,plain,
    ( ~ member(apply(choice,complement(inverse(subset_relation))),universal_class)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f341,plain,
    ( spl0_25
    | ~ spl0_26
    | spl0_24 ),
    inference(avatar_split_clause,[],[f332,f320,f338,f334]) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ member(apply(choice,complement(inverse(subset_relation))),X0)
        | ~ subclass(X0,universal_class) )
    | spl0_26 ),
    inference(resolution,[],[f340,f1]) ).

fof(f353,plain,
    ( ! [X0] : ~ member(apply(choice,complement(inverse(subset_relation))),X0)
    | spl0_26 ),
    inference(forward_subsumption_resolution,[],[f352,f4]) ).

fof(f362,plain,
    ( ~ member(complement(inverse(subset_relation)),universal_class)
    | universal_class = complement(inverse(subset_relation))
    | spl0_26 ),
    inference(resolution,[],[f353,f238]) ).

fof(f371,definition,
    ( spl0_27
  <=> member(complement(inverse(subset_relation)),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f373,plain,
    ( ~ member(complement(inverse(subset_relation)),universal_class)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f374,plain,
    ( spl0_22
    | ~ spl0_27
    | spl0_26 ),
    inference(avatar_split_clause,[],[f362,f338,f371,f313]) ).

fof(f377,plain,
    ( ! [X0] :
        ( ~ member(complement(inverse(subset_relation)),X0)
        | ~ subclass(X0,universal_class) )
    | spl0_27 ),
    inference(resolution,[],[f373,f1]) ).

fof(f378,plain,
    ( ! [X0] : ~ member(complement(inverse(subset_relation)),X0)
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f377,f4]) ).

fof(f379,plain,
    ( spl0_23
    | spl0_27 ),
    inference(avatar_split_clause,[],[f378,f371,f317]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( null_class = X0
      | null_class = X1
      | ~ inductive(unordered_pair(X0,X1)) ),
    inference(resolution,[],[f8,f48]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( regular(unordered_pair(X0,X1)) = X0
      | regular(unordered_pair(X0,X1)) = X1
      | unordered_pair(X0,X1) = null_class ),
    inference(resolution,[],[f8,f68]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( regular(unordered_pair(X0,X1)) = X1
      | regular(unordered_pair(X0,X1)) = X0
      | universal_class = unordered_pair(X0,X1) ),
    inference(forward_demodulation,[],[f484,f203]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( universal_class = X0
      | null_class = X1
      | ~ inductive(unordered_pair(X0,X1)) ),
    inference(forward_demodulation,[],[f483,f203]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ~ inductive(unordered_pair(X0,X1))
      | universal_class = X0
      | universal_class = X1 ),
    inference(forward_demodulation,[],[f493,f203]) ).

fof(f540,plain,
    ! [X0] :
      ( ~ inductive(singleton(X0))
      | universal_class = X0
      | universal_class = X0 ),
    inference(superposition,[],[f494,f12]) ).

fof(f542,plain,
    ! [X0] :
      ( ~ inductive(singleton(X0))
      | universal_class = X0 ),
    inference(duplicate_literal_removal,[],[f540]) ).

fof(f694,definition,
    ( spl0_41
  <=> member(universal_class,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f696,plain,
    ( member(universal_class,universal_class)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f756,plain,
    ! [X0] :
      ( regular(singleton(X0)) = X0
      | regular(singleton(X0)) = X0
      | universal_class = singleton(X0) ),
    inference(superposition,[],[f492,f12]) ).

fof(f764,plain,
    ! [X0] :
      ( regular(singleton(X0)) = X0
      | universal_class = singleton(X0) ),
    inference(duplicate_literal_removal,[],[f756]) ).

fof(f769,plain,
    ! [X0] :
      ( member(X0,singleton(X0))
      | singleton(X0) = null_class
      | universal_class = singleton(X0) ),
    inference(superposition,[],[f68,f764]) ).

fof(f772,plain,
    ! [X0] :
      ( universal_class = singleton(X0)
      | member(X0,singleton(X0))
      | universal_class = singleton(X0) ),
    inference(forward_demodulation,[],[f769,f203]) ).

fof(f773,plain,
    ! [X0] :
      ( member(X0,singleton(X0))
      | universal_class = singleton(X0) ),
    inference(duplicate_literal_removal,[],[f772]) ).

fof(f782,plain,
    ( universal_class = singleton(complement(inverse(subset_relation)))
    | ~ spl0_23 ),
    inference(resolution,[],[f773,f318]) ).

fof(f799,plain,
    ( ~ inductive(universal_class)
    | universal_class = complement(inverse(subset_relation))
    | ~ spl0_23 ),
    inference(superposition,[],[f542,f782]) ).

fof(f801,definition,
    ( spl0_49
  <=> inductive(universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f802,plain,
    ( inductive(universal_class)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f803,plain,
    ( ~ inductive(universal_class)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( spl0_22
    | ~ spl0_49
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f799,f317,f801,f313]) ).

fof(f822,plain,
    ( ~ subclass(image(successor_relation,universal_class),universal_class)
    | ~ member(universal_class,universal_class)
    | spl0_49 ),
    inference(resolution,[],[f803,f217]) ).

fof(f823,plain,
    ( ~ member(universal_class,universal_class)
    | spl0_49 ),
    inference(forward_subsumption_resolution,[],[f822,f4]) ).

fof(f827,plain,
    ( ~ spl0_41
    | spl0_49 ),
    inference(avatar_split_clause,[],[f823,f801,f694]) ).

fof(f834,plain,
    ( ! [X0] :
        ( ~ member(universal_class,X0)
        | ~ subclass(X0,universal_class) )
    | spl0_41 ),
    inference(resolution,[],[f695,f1]) ).

fof(f835,plain,
    ( ! [X0] : ~ member(universal_class,X0)
    | spl0_41 ),
    inference(forward_subsumption_resolution,[],[f834,f4]) ).

fof(f847,plain,
    ( $false
    | spl0_41 ),
    inference(resolution,[],[f835,f207]) ).

fof(f848,plain,
    spl0_41,
    inference(avatar_contradiction_clause,[],[f847]) ).

fof(f868,plain,
    ( ~ inductive(universal_class)
    | ~ member(null_class,inverse(subset_relation))
    | ~ spl0_22 ),
    inference(superposition,[],[f128,f315]) ).

fof(f869,plain,
    ( ~ member(null_class,inverse(subset_relation))
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f868,f802]) ).

fof(f870,plain,
    ( ~ member(universal_class,inverse(subset_relation))
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(forward_demodulation,[],[f869,f203]) ).

fof(f875,plain,
    ( ! [X0] : ~ member(universal_class,intersection(inverse(subset_relation),X0))
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(resolution,[],[f870,f21]) ).

fof(f956,plain,
    ( ~ member(universal_class,universal_class)
    | universal_class = inverse(subset_relation)
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(superposition,[],[f875,f209]) ).

fof(f958,plain,
    ( universal_class = inverse(subset_relation)
    | ~ spl0_22
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f956,f696]) ).

fof(f974,plain,
    ( ~ member(universal_class,universal_class)
    | ~ spl0_22
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(superposition,[],[f870,f958]) ).

fof(f1027,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f974,f696]) ).

fof(f1028,plain,
    ( ~ spl0_22
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1027]) ).

fof(f1047,plain,
    ( ~ member(apply(choice,complement(inverse(subset_relation))),universal_class)
    | spl0_24
    | ~ spl0_25 ),
    inference(superposition,[],[f322,f336]) ).

fof(f1056,plain,
    ( ~ spl0_26
    | spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f1047,f334,f320,f338]) ).

cnf(s11,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s12,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s13,plain,
    ( spl0_22
    | spl0_26
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s14,plain,
    ( spl0_23
    | spl0_27 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s27,plain,
    ( spl0_22
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s30,plain,
    ( ~ spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s31,plain,
    spl0_41,
    inference(sat_conversion,[],[f848]) ).

cnf(s39,plain,
    ( ~ spl0_22
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s40,plain,
    ( spl0_24
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s41,plain,
    spl0_49,
    inference(rat,[],[s30,s31]) ).

cnf(s42,plain,
    ~ spl0_22,
    inference(rat,[],[s39,s31,s41]) ).

cnf(s43,plain,
    ~ spl0_23,
    inference(rat,[],[s27,s41,s42]) ).

cnf(s44,plain,
    spl0_27,
    inference(rat,[],[s14,s43]) ).

cnf(s45,plain,
    spl0_26,
    inference(rat,[],[s13,s44,s42]) ).

cnf(s46,plain,
    ( spl0_24
    | spl0_25 ),
    inference(rat,[],[s12,s45]) ).

cnf(s47,plain,
    ~ spl0_24,
    inference(rat,[],[s11,s43,s42]) ).

cnf(s48,plain,
    ~ spl0_25,
    inference(rat,[],[s40,s45,s47]) ).

cnf(s49,plain,
    $false,
    inference(rat,[],[s46,s48,s47]) ).

fof(f1057,plain,
    $false,
    inference(avatar_sat_refutation,[],[s49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET507-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 02:00:17 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  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
% 2.64/1.29  % (361365)Input is clausal, will run a generic CNF schedule.
% 2.64/1.29  % (361371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2299065940:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.29  % (361373)lrs+10_1_sil=8000:sp=occurrence:random_seed=1013897990:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.29  % (361372)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2529795773:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.29  % (361370)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=1039582901:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.29  % (361374)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=109101933:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.29  % (361375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2855293841:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.29  % (361373)Refutation not found, incomplete strategy
% 2.64/1.29  % (361373)------------------------------
% 2.64/1.29  % (361373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29  % (361373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29  % (361373)CaDiCaL version: 2.1.3
% 2.64/1.29  % (361373)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.29  % (361373)Time elapsed: 0.001 s
% 2.64/1.29  % (361373)Peak memory usage: 88 MB
% 2.64/1.29  % (361376)dis-21_1_sil=8000:lcm=predicate:random_seed=2376845064:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.29  % (361375)First to succeed.
% 2.64/1.29  % (361375)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-361365"
% 2.64/1.29  % (361374)Instruction limit reached! 
% 2.64/1.29  % (361374)------------------------------
% 2.64/1.29  % (361374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29  % (361374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29  % (361374)CaDiCaL version: 2.1.3
% 2.64/1.29  % (361374)Termination reason: Instruction limit
% 2.64/1.29  % (361374)Termination phase: Saturation
% 2.64/1.29  % (361374)Time elapsed: 0.068 s
% 2.64/1.29  % (361374)Peak memory usage: 89 MB
% 2.64/1.29  % (361374)Instructions burned: 114 (million)
% 2.64/1.29  % (361376)Instruction limit reached! 
% 2.64/1.29  % (361376)------------------------------
% 2.64/1.29  % (361376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.29  % (361376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.29  % (361376)CaDiCaL version: 2.1.3
% 2.64/1.29  % (361376)Termination reason: Instruction limit
% 2.64/1.29  % (361376)Termination phase: Saturation
% 2.64/1.29  % (361376)Time elapsed: 0.073 s
% 2.64/1.29  % (361376)Peak memory usage: 90 MB
% 2.64/1.29  % (361376)Instructions burned: 117 (million)
% 2.64/1.29  % (361384)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=676365570:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.64/1.29  % (361385)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2397956971:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.64/1.29  % (361373)------------------------------
% 2.64/1.29  % (361373)------------------------------
% 2.64/1.29  % (361375)Refutation found. Thanks to Tanya!
% 2.64/1.29  % SZS status Unsatisfiable for theBenchmark
% 2.64/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.39  % (361375)------------------------------
% 3.57/1.39  % (361375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.39  % (361375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.39  % (361375)CaDiCaL version: 2.1.3
% 3.57/1.39  % (361375)Termination reason: Refutation
% 3.57/1.39  % (361375)Time elapsed: 0.039 s
% 3.57/1.39  % (361375)Peak memory usage: 90 MB
% 3.57/1.39  % (361375)Instructions burned: 44 (million)
% 3.57/1.39  % (361375)------------------------------
% 3.57/1.39  % (361375)------------------------------
% 3.57/1.39  % (361365)Success in time 0.444 s
% 3.57/1.39  % Vampire exiting
%------------------------------------------------------------------------------