↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET165-6 : 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 : n020.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 12:40:21 PM UTC 2026

% Result   : Unsatisfiable 1.89s 1.70s
% Output   : Refutation 5.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   83 (  12 unt;  10 def)
%            Number of atoms       :  176 (   6 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  163 (  70   ~;  83   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

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

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

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

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

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

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f122,negated_conjecture,
    union(x,union(x,y)) != union(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_union_1) ).

fof(f123,plain,
    union(x,y) != union(x,union(x,y)),
    inference(reorient_equations,[],[f122]) ).

fof(f135,plain,
    complement(intersection(complement(x),complement(y))) != complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),
    inference(definition_unfolding,[],[f123,f26,f26,f26]) ).

fof(f176,definition,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).

fof(f177,plain,
    ~ sQ0_eqProxy(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),
    inference(equality_proxy_replacement,[],[f135,f176]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(equality_proxy_replacement,[],[f7,f176]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(resolution,[],[f1,f4]) ).

fof(f207,plain,
    ( ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y))))
    | ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))) ),
    inference(resolution,[],[f178,f177]) ).

fof(f210,definition,
    ( spl1_1
  <=> subclass(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f211,plain,
    ( ~ subclass(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y))))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f213,definition,
    ( spl1_2
  <=> subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f214,plain,
    ( ~ subclass(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( ~ spl1_2
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f207,f210,f213]) ).

fof(f217,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
    | spl1_1 ),
    inference(resolution,[],[f211,f3]) ).

fof(f218,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))))
    | spl1_1 ),
    inference(resolution,[],[f211,f2]) ).

fof(f219,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))
    | spl1_1 ),
    inference(resolution,[],[f218,f24]) ).

fof(f221,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),universal_class)
    | member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
    | spl1_1 ),
    inference(resolution,[],[f25,f217]) ).

fof(f223,definition,
    ( spl1_3
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f224,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f226,definition,
    ( spl1_4
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f227,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),universal_class)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( spl1_3
    | ~ spl1_4
    | spl1_1 ),
    inference(avatar_split_clause,[],[f221,f210,f226,f223]) ).

fof(f229,plain,
    ( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),X0)
    | spl1_4 ),
    inference(resolution,[],[f227,f200]) ).

fof(f230,plain,
    ( $false
    | spl1_1
    | spl1_4 ),
    inference(resolution,[],[f229,f218]) ).

fof(f237,plain,
    ( spl1_1
    | spl1_4 ),
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f239,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(x))
    | ~ spl1_3 ),
    inference(resolution,[],[f224,f21]) ).

fof(f246,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y)))))
    | ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(x))
    | spl1_1 ),
    inference(resolution,[],[f23,f219]) ).

fof(f248,definition,
    ( spl1_5
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(x)) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f249,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(x))
    | spl1_5 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f251,definition,
    ( spl1_6
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y))))) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f252,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y)))))
    | spl1_6 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f253,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_1 ),
    inference(avatar_split_clause,[],[f246,f210,f251,f248]) ).

fof(f254,plain,
    ( $false
    | ~ spl1_3
    | spl1_5 ),
    inference(resolution,[],[f249,f239]) ).

fof(f256,plain,
    ( ~ spl1_3
    | spl1_5 ),
    inference(avatar_contradiction_clause,[],[f254]) ).

fof(f261,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),universal_class)
    | member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
    | spl1_6 ),
    inference(resolution,[],[f252,f25]) ).

fof(f263,definition,
    ( spl1_8
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f264,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f265,plain,
    ( spl1_8
    | ~ spl1_4
    | spl1_6 ),
    inference(avatar_split_clause,[],[f261,f251,f226,f263]) ).

fof(f266,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))))
    | spl1_2 ),
    inference(resolution,[],[f214,f3]) ).

fof(f267,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),complement(intersection(complement(x),complement(y))))
    | spl1_2 ),
    inference(resolution,[],[f214,f2]) ).

fof(f269,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),universal_class)
    | member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))
    | spl1_2 ),
    inference(resolution,[],[f266,f25]) ).

fof(f271,definition,
    ( spl1_9
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

fof(f272,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f274,definition,
    ( spl1_10
  <=> member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f275,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),universal_class)
    | spl1_10 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f276,plain,
    ( spl1_9
    | ~ spl1_10
    | spl1_2 ),
    inference(avatar_split_clause,[],[f269,f213,f274,f271]) ).

fof(f277,plain,
    ( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),X0)
    | spl1_10 ),
    inference(resolution,[],[f275,f200]) ).

fof(f286,plain,
    ( $false
    | spl1_2
    | spl1_10 ),
    inference(resolution,[],[f277,f267]) ).

fof(f294,plain,
    ( spl1_2
    | spl1_10 ),
    inference(avatar_contradiction_clause,[],[f286]) ).

fof(f295,plain,
    ( member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),complement(complement(intersection(complement(x),complement(y)))))
    | ~ spl1_9 ),
    inference(resolution,[],[f272,f22]) ).

fof(f313,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y))))))),complement(intersection(complement(x),complement(y))))
    | ~ spl1_9 ),
    inference(resolution,[],[f295,f24]) ).

fof(f316,plain,
    ( $false
    | spl1_2
    | ~ spl1_9 ),
    inference(resolution,[],[f313,f267]) ).

fof(f318,plain,
    ( spl1_2
    | ~ spl1_9 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f323,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(x),complement(complement(intersection(complement(x),complement(y)))))),complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
    | spl1_1 ),
    inference(resolution,[],[f211,f3]) ).

fof(f326,plain,
    ( $false
    | spl1_1
    | ~ spl1_8 ),
    inference(resolution,[],[f264,f323]) ).

fof(f328,plain,
    ( spl1_1
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f326]) ).

cnf(s2,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s3,plain,
    ( spl1_1
    | spl1_3
    | ~ spl1_4 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s4,plain,
    ( spl1_1
    | spl1_4 ),
    inference(sat_conversion,[],[f237]) ).

cnf(s5,plain,
    ( spl1_1
    | ~ spl1_5
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s6,plain,
    ( ~ spl1_3
    | spl1_5 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s8,plain,
    ( ~ spl1_4
    | spl1_6
    | spl1_8 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s9,plain,
    ( spl1_2
    | spl1_9
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s11,plain,
    ( spl1_2
    | spl1_10 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s17,plain,
    ( spl1_2
    | ~ spl1_9 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s19,plain,
    ( spl1_1
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s20,plain,
    spl1_1,
    inference(rat,[],[s5,s6,s8,s3,s4,s19]) ).

cnf(s21,plain,
    ~ spl1_2,
    inference(rat,[],[s2,s20]) ).

cnf(s22,plain,
    ~ spl1_9,
    inference(rat,[],[s17,s21]) ).

cnf(s23,plain,
    spl1_10,
    inference(rat,[],[s11,s21]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s9,s22,s23,s21]) ).

fof(f329,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET165-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40  % Computer : n020.cluster.edu
% 0.15/0.40  % Model    : x86_64 x86_64
% 0.15/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40  % Memory   : 8046.5625MB
% 0.15/0.40  % OS       : Linux 6.8.0-71-generic
% 0.15/0.40  % CPULimit : 300
% 0.15/0.40  % WCLimit  : 300
% 0.15/0.40  % DateTime : Mon Sep 28 00:59:05 UTC 2026
% 0.15/0.40  % CPUTime  : 
% 0.15/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46  Running first-order theorem proving
% 0.15/0.46  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
% 1.89/1.70  % (3936475)Input is clausal, will run a generic CNF schedule.
% 1.89/1.70  % (3936489)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3709407781:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.89/1.70  % (3936493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1770332955:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.89/1.70  % (3936488)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=2367306219:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.89/1.70  % (3936490)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3770838043:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.89/1.70  % (3936491)lrs+10_1_sil=8000:sp=occurrence:random_seed=3124444693:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.89/1.70  % (3936491)Refutation not found, incomplete strategy
% 1.89/1.70  % (3936491)------------------------------
% 1.89/1.70  % (3936491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.89/1.70  % (3936491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/1.70  % (3936491)CaDiCaL version: 2.1.3
% 1.89/1.70  % (3936491)Termination reason: Refutation not found, incomplete strategy
% 1.89/1.70  % (3936491)Time elapsed: 0.006 s
% 1.89/1.70  % (3936491)Peak memory usage: 88 MB
% 1.89/1.70  % (3936491)Instructions burned: 4 (million)
% 1.89/1.70  % (3936494)dis-21_1_sil=8000:lcm=predicate:random_seed=4253411704: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)
% 1.89/1.70  % (3936492)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2726332577:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.89/1.70  % (3936494)First to succeed.
% 1.89/1.70  % (3936494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3936475"
% 1.89/1.70  % (3936493)Instruction limit reached! 
% 1.89/1.70  % (3936493)------------------------------
% 1.89/1.70  % (3936493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.89/1.70  % (3936493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/1.70  % (3936493)CaDiCaL version: 2.1.3
% 1.89/1.70  % (3936493)Termination reason: Instruction limit
% 1.89/1.70  % (3936493)Termination phase: Saturation
% 1.89/1.70  % (3936493)Time elapsed: 0.112 s
% 1.89/1.70  % (3936493)Peak memory usage: 91 MB
% 1.89/1.70  % (3936493)Instructions burned: 181 (million)
% 1.89/1.70  % (3936492)Instruction limit reached! 
% 1.89/1.70  % (3936492)------------------------------
% 1.89/1.70  % (3936492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.89/1.70  % (3936492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/1.70  % (3936492)CaDiCaL version: 2.1.3
% 1.89/1.70  % (3936492)Termination reason: Instruction limit
% 1.89/1.70  % (3936492)Termination phase: Saturation
% 1.89/1.70  % (3936492)Time elapsed: 0.116 s
% 1.89/1.70  % (3936492)Peak memory usage: 89 MB
% 1.89/1.70  % (3936492)Instructions burned: 114 (million)
% 1.89/1.70  % (3936502)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=3108647759:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.89/1.70  % (3936502)Refutation not found, incomplete strategy
% 1.89/1.70  % (3936502)------------------------------
% 1.89/1.70  % (3936502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.89/1.70  % (3936502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/1.70  % (3936502)CaDiCaL version: 2.1.3
% 1.89/1.70  % (3936502)Termination reason: Refutation not found, incomplete strategy
% 1.89/1.70  % (3936502)Time elapsed: 0.003 s
% 1.89/1.70  % (3936502)Peak memory usage: 88 MB
% 1.89/1.70  % (3936502)Instructions burned: 2 (million)
% 1.89/1.70  % (3936491)------------------------------
% 1.89/1.70  % (3936491)------------------------------
% 1.89/1.70  % (3936503)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=959335085:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 1.89/1.70  % (3936503)Refutation not found, incomplete strategy
% 1.89/1.70  % (3936503)------------------------------
% 1.89/1.70  % (3936503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.89/1.70  % (3936503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/1.70  % (3936503)CaDiCaL version: 2.1.3
% 1.89/1.70  % (3936503)Termination reason: Refutation not found, incomplete strategy
% 1.89/1.70  % (3936503)Time elapsed: 0.004 s
% 1.89/1.70  % (3936503)Peak memory usage: 88 MB
% 1.89/1.70  % (3936503)Instructions burned: 4 (million)
% 1.89/1.70  % (3936494)Refutation found. Thanks to Tanya!
% 1.89/1.70  % SZS status Unsatisfiable for theBenchmark
% 1.89/1.70  % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.94  % (3936494)------------------------------
% 5.50/1.94  % (3936494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.94  % (3936494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.94  % (3936494)CaDiCaL version: 2.1.3
% 5.50/1.94  % (3936494)Termination reason: Refutation
% 5.50/1.94  % (3936494)Time elapsed: 0.012 s
% 5.50/1.94  % (3936494)Peak memory usage: 89 MB
% 5.50/1.94  % (3936494)Instructions burned: 10 (million)
% 5.50/1.94  % (3936494)------------------------------
% 5.50/1.94  % (3936494)------------------------------
% 5.50/1.94  % (3936475)Success in time 0.666 s
% 5.50/1.94  % Vampire exiting
%------------------------------------------------------------------------------