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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET262-6 : 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 : n011.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 12:40:38 PM UTC 2026

% Result   : Unsatisfiable 6.21s 1.72s
% Output   : Refutation 8.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   85 (  26 unt;   4 def)
%            Number of atoms       :  165 (  38 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  153 (  73   ~;  77   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :  100 (   0 sgn 100   !;   0   ?)

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

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

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,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(f6,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass2) ).

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

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X1,X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

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

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X2,X3)
      | member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).

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

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(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( restrict(X0,singleton(X1),universal_class) != null_class
      | ~ member(X1,domain_of(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | restrict(X1,singleton(X0),universal_class) = null_class
      | member(X0,domain_of(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | null_class = restrict(X1,singleton(X0),universal_class)
      | member(X0,domain_of(X1)) ),
    inference(reorient_equations,[],[f31]) ).

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 = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f122,negated_conjecture,
    domain_of(universal_class) != universal_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_universal_class_1) ).

fof(f123,plain,
    universal_class != domain_of(universal_class),
    inference(reorient_equations,[],[f122]) ).

fof(f128,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
      | ~ member(X2,X3)
      | ~ member(X0,X1) ),
    inference(definition_unfolding,[],[f16,f128]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
      | ~ member(X1,domain_of(X0)) ),
    inference(definition_unfolding,[],[f30,f28,f12]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( member(X0,domain_of(X1))
      | null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f32,f28,f12]) ).

fof(f187,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f6]) ).

fof(f190,definition,
    sF0 = domain_of(universal_class),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f191,plain,
    domain_of(universal_class) = sF0,
    inference(reorient_equations,[],[f190]) ).

fof(f192,plain,
    universal_class != sF0,
    inference(definition_folding,[],[f123,f191]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ subclass(universal_class,X0)
      | universal_class = X0 ),
    inference(resolution,[],[f7,f4]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(X0,X2),X1)
      | ~ subclass(X0,X1)
      | subclass(X0,X2) ),
    inference(resolution,[],[f1,f2]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f21,f2]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f197,f3]) ).

fof(f208,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f222,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subclass(intersection(X2,X1),X3)
      | ~ member(X0,X2)
      | ~ member(X0,X1)
      | member(X0,X3) ),
    inference(resolution,[],[f23,f1]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,X2)
      | ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f222,f4]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X2)
      | member(not_subclass_element(X0,X1),universal_class)
      | subclass(X0,X1) ),
    inference(resolution,[],[f226,f2]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),universal_class)
      | subclass(X0,X1)
      | subclass(X0,X1) ),
    inference(resolution,[],[f227,f2]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),universal_class)
      | subclass(X0,X1) ),
    inference(duplicate_literal_removal,[],[f233]) ).

fof(f255,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(superposition,[],[f208,f70]) ).

fof(f258,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f255,f7]) ).

fof(f259,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f260,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f259,f208]) ).

fof(f264,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f144,f260]) ).

fof(f273,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f264]) ).

fof(f278,plain,
    null_class = domain_of(null_class),
    inference(resolution,[],[f273,f68]) ).

fof(f285,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(superposition,[],[f273,f278]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
      | ~ member(not_subclass_element(X1,domain_of(X0)),universal_class)
      | subclass(X1,domain_of(X0)) ),
    inference(resolution,[],[f145,f3]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( subclass(X1,domain_of(X0))
      | null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class)) ),
    inference(forward_subsumption_resolution,[],[f302,f241]) ).

fof(f367,plain,
    ! [X0] :
      ( subclass(X0,sF0)
      | null_class = intersection(universal_class,cross_product(unordered_pair(not_subclass_element(X0,sF0),not_subclass_element(X0,sF0)),universal_class)) ),
    inference(superposition,[],[f308,f191]) ).

fof(f370,plain,
    ( null_class = intersection(universal_class,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
    | universal_class = sF0 ),
    inference(resolution,[],[f367,f193]) ).

fof(f372,plain,
    null_class = intersection(universal_class,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class)),
    inference(forward_subsumption_resolution,[],[f370,f192]) ).

fof(f376,plain,
    ! [X0] :
      ( member(X0,null_class)
      | ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f23,f372]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)),universal_class))
      | ~ member(X0,universal_class) ),
    inference(forward_subsumption_resolution,[],[f376,f285]) ).

fof(f438,definition,
    ( spl1_4
  <=> subclass(universal_class,sF0) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f439,plain,
    ( ~ subclass(universal_class,sF0)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( subclass(universal_class,sF0)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f446,plain,
    ( ~ subclass(sF0,universal_class)
    | universal_class = sF0
    | ~ spl1_4 ),
    inference(resolution,[],[f440,f7]) ).

fof(f447,plain,
    ( universal_class = sF0
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f446,f4]) ).

fof(f450,plain,
    ( $false
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f447,f192]) ).

fof(f451,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f450]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | ~ member(X1,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)))
      | ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) ),
    inference(resolution,[],[f139,f384]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | ~ member(X1,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0))) ),
    inference(forward_subsumption_resolution,[],[f566,f11]) ).

fof(f574,definition,
    ( spl1_6
  <=> ! [X0] : ~ member(X0,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0))) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f575,plain,
    ( ! [X0] : ~ member(X0,unordered_pair(not_subclass_element(universal_class,sF0),not_subclass_element(universal_class,sF0)))
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,definition,
    ( spl1_7
  <=> ! [X1] : ~ member(X1,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f578,plain,
    ( ! [X1] : ~ member(X1,universal_class)
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( spl1_6
    | spl1_7 ),
    inference(avatar_split_clause,[],[f571,f577,f574]) ).

fof(f582,plain,
    ( ~ member(not_subclass_element(universal_class,sF0),universal_class)
    | ~ spl1_6 ),
    inference(resolution,[],[f575,f10]) ).

fof(f597,plain,
    ( ~ subclass(universal_class,universal_class)
    | subclass(universal_class,sF0)
    | ~ spl1_6 ),
    inference(resolution,[],[f582,f196]) ).

fof(f598,plain,
    ( subclass(universal_class,sF0)
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f597,f187]) ).

fof(f603,plain,
    ( $false
    | spl1_4
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f598,f439]) ).

fof(f604,plain,
    ( spl1_4
    | ~ spl1_6 ),
    inference(avatar_contradiction_clause,[],[f603]) ).

fof(f610,plain,
    ( $false
    | ~ spl1_7 ),
    inference(resolution,[],[f578,f11]) ).

fof(f616,plain,
    ~ spl1_7,
    inference(avatar_contradiction_clause,[],[f610]) ).

cnf(s4,plain,
    ~ spl1_4,
    inference(sat_conversion,[],[f451]) ).

cnf(s6,plain,
    ( spl1_6
    | spl1_7 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s9,plain,
    ( spl1_4
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s10,plain,
    ~ spl1_7,
    inference(sat_conversion,[],[f616]) ).

cnf(s12,plain,
    spl1_6,
    inference(rat,[],[s6,s10]) ).

cnf(s13,plain,
    spl1_4,
    inference(rat,[],[s9,s12]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s4,s13]) ).

fof(f622,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET262-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n011.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 01:15:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 6.21/1.72  % (2930928)Input is clausal, will run a generic CNF schedule.
% 6.21/1.72  % (2930938)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1008060007:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.21/1.72  % (2930934)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2854655139:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.21/1.72  % (2930936)lrs+10_1_sil=8000:sp=occurrence:random_seed=109709127:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.21/1.72  % (2930935)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=170139492:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.21/1.72  % (2930939)dis-21_1_sil=8000:lcm=predicate:random_seed=1938984723: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)
% 6.21/1.72  % (2930937)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3793251448:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.21/1.72  % (2930933)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=696016565:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.21/1.72  % (2930936)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930936)------------------------------
% 6.21/1.72  % (2930936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930936)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930936)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930936)Time elapsed: 0.001 s
% 6.21/1.72  % (2930936)Peak memory usage: 87 MB
% 6.21/1.72  % (2930937)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930937)------------------------------
% 6.21/1.72  % (2930937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930937)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930937)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930937)Time elapsed: 0.001 s
% 6.21/1.72  % (2930937)Peak memory usage: 88 MB
% 6.21/1.72  % (2930937)Instructions burned: 1 (million)
% 6.21/1.72  % (2930938)Instruction limit reached! 
% 6.21/1.72  % (2930938)------------------------------
% 6.21/1.72  % (2930938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930938)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930938)Termination reason: Instruction limit
% 6.21/1.72  % (2930938)Termination phase: Saturation
% 6.21/1.72  % (2930938)Time elapsed: 0.072 s
% 6.21/1.72  % (2930938)Peak memory usage: 90 MB
% 6.21/1.72  % (2930938)Instructions burned: 182 (million)
% 6.21/1.72  % (2930939)Instruction limit reached! 
% 6.21/1.72  % (2930939)------------------------------
% 6.21/1.72  % (2930939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930939)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930939)Termination reason: Instruction limit
% 6.21/1.72  % (2930939)Termination phase: Saturation
% 6.21/1.72  % (2930939)Time elapsed: 0.069 s
% 6.21/1.72  % (2930939)Peak memory usage: 89 MB
% 6.21/1.72  % (2930939)Instructions burned: 117 (million)
% 6.21/1.72  % (2930948)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3023720989: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)
% 6.21/1.72  % (2930947)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=2456640700:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.21/1.72  % (2930947)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930947)------------------------------
% 6.21/1.72  % (2930947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930947)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930947)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930947)Time elapsed: 0.001 s
% 6.21/1.72  % (2930947)Peak memory usage: 87 MB
% 6.21/1.72  % (2930937)------------------------------
% 6.21/1.72  % (2930937)------------------------------
% 6.21/1.72  % (2930936)------------------------------
% 6.21/1.72  % (2930936)------------------------------
% 6.21/1.72  % (2930948)Instruction limit reached! 
% 6.21/1.72  % (2930948)------------------------------
% 6.21/1.72  % (2930948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930948)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930948)Termination reason: Instruction limit
% 6.21/1.72  % (2930948)Termination phase: Saturation
% 6.21/1.72  % (2930948)Time elapsed: 0.060 s
% 6.21/1.72  % (2930948)Peak memory usage: 91 MB
% 6.21/1.72  % (2930948)Instructions burned: 192 (million)
% 6.21/1.72  % (2930951)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1200504432:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.21/1.72  % (2930951)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930951)------------------------------
% 6.21/1.72  % (2930951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930951)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930951)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930951)Time elapsed: 0.002 s
% 6.21/1.72  % (2930951)Peak memory usage: 88 MB
% 6.21/1.72  % (2930951)Instructions burned: 3 (million)
% 6.21/1.72  % (2930952)lrs+10_64_to=lpo:sil=8000:random_seed=308670261:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.21/1.72  % (2930953)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1285073424:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.21/1.72  % (2930947)------------------------------
% 6.21/1.72  % (2930947)------------------------------
% 6.21/1.72  % (2930952)Instruction limit reached! 
% 6.21/1.72  % (2930952)------------------------------
% 6.21/1.72  % (2930952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930952)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930952)Termination reason: Instruction limit
% 6.21/1.72  % (2930952)Termination phase: Saturation
% 6.21/1.72  % (2930952)Time elapsed: 0.081 s
% 6.21/1.72  % (2930952)Peak memory usage: 89 MB
% 6.21/1.72  % (2930952)Instructions burned: 127 (million)
% 6.21/1.72  % (2930951)------------------------------
% 6.21/1.72  % (2930951)------------------------------
% 6.21/1.72  % (2930953)Instruction limit reached! 
% 6.21/1.72  % (2930953)------------------------------
% 6.21/1.72  % (2930953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930953)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930953)Termination reason: Instruction limit
% 6.21/1.72  % (2930953)Termination phase: Saturation
% 6.21/1.72  % (2930953)Time elapsed: 0.121 s
% 6.21/1.72  % (2930953)Peak memory usage: 89 MB
% 6.21/1.72  % (2930953)Instructions burned: 194 (million)
% 6.21/1.72  % (2930957)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4204988005:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.21/1.72  % (2930958)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=55259993:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.21/1.72  % (2930959)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2881073826:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.21/1.72  % (2930959)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930959)------------------------------
% 6.21/1.72  % (2930959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930959)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930959)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930959)Time elapsed: 0.002 s
% 6.21/1.72  % (2930959)Peak memory usage: 88 MB
% 6.21/1.72  % (2930960)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2664862641:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.21/1.72  % (2930960)Refutation not found, incomplete strategy
% 6.21/1.72  % (2930960)------------------------------
% 6.21/1.72  % (2930960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930960)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930960)Termination reason: Refutation not found, incomplete strategy
% 6.21/1.72  % (2930960)Time elapsed: 0.005 s
% 6.21/1.72  % (2930960)Peak memory usage: 88 MB
% 6.21/1.72  % (2930960)Instructions burned: 8 (million)
% 6.21/1.72  % (2930933)First to succeed.
% 6.21/1.72  % (2930933)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2930928"
% 6.21/1.72  % (2930957)Instruction limit reached! 
% 6.21/1.72  % (2930957)------------------------------
% 6.21/1.72  % (2930957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/1.72  % (2930957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/1.72  % (2930957)CaDiCaL version: 2.1.3
% 6.21/1.72  % (2930957)Termination reason: Instruction limit
% 6.21/1.72  % (2930957)Termination phase: Saturation
% 6.21/1.72  % (2930957)Time elapsed: 0.104 s
% 6.21/1.72  % (2930957)Peak memory usage: 91 MB
% 6.21/1.72  % (2930957)Instructions burned: 157 (million)
% 6.21/1.72  % (2930935)Also succeeded, but the first one will report.
% 6.21/1.72  % (2930965)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=713969386:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 6.21/1.72  % (2930959)------------------------------
% 6.21/1.72  % (2930959)------------------------------
% 6.21/1.72  % (2930960)------------------------------
% 6.21/1.72  % (2930960)------------------------------
% 6.21/1.72  % (2930933)Refutation found. Thanks to Tanya!
% 6.21/1.72  % SZS status Unsatisfiable for theBenchmark
% 6.21/1.72  % SZS output start Proof for theBenchmark
% See solution above
% 8.32/1.92  % (2930933)------------------------------
% 8.32/1.92  % (2930933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/1.92  % (2930933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.92  % (2930933)CaDiCaL version: 2.1.3
% 8.32/1.92  % (2930933)Termination reason: Refutation
% 8.32/1.92  % (2930933)Time elapsed: 0.705 s
% 8.32/1.92  % (2930933)Peak memory usage: 130 MB
% 8.32/1.92  % (2930933)Instructions burned: 1042 (million)
% 8.32/1.92  % (2930933)------------------------------
% 8.32/1.92  % (2930933)------------------------------
% 8.32/1.92  % (2930928)Success in time 1.13 s
% 8.32/1.92  % Vampire exiting
%------------------------------------------------------------------------------