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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET267-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 12:43:34 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   77 (  22 unt;   5 def)
%            Number of atoms       :  154 (  21 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  146 (  69   ~;  72   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :   61 (   0 sgn  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',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/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).

fof(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).

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/sandbox/benchmark/Axioms/SET004-0.ax',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/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).

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

fof(f122,negated_conjecture,
    ~ subclass(complement(domain_of(x)),domain_of(complement(x))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_monotonic4_1) ).

fof(f127,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(f138,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,f127]) ).

fof(f144,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(f193,plain,
    member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),complement(domain_of(x))),
    inference(resolution,[],[f2,f122]) ).

fof(f194,plain,
    ~ member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),domain_of(x)),
    inference(resolution,[],[f193,f24]) ).

fof(f195,plain,
    ~ member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),domain_of(complement(x))),
    inference(resolution,[],[f3,f122]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

fof(f228,plain,
    ! [X0] :
      ( member(regular(X0),universal_class)
      | null_class = X0 ),
    inference(resolution,[],[f198,f68]) ).

fof(f231,plain,
    member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),universal_class),
    inference(resolution,[],[f198,f193]) ).

fof(f331,plain,
    ( null_class = intersection(x,cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class))
    | ~ member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),universal_class) ),
    inference(resolution,[],[f144,f194]) ).

fof(f332,plain,
    ( null_class = intersection(complement(x),cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class))
    | ~ member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),universal_class) ),
    inference(resolution,[],[f144,f195]) ).

fof(f335,plain,
    null_class = intersection(complement(x),cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),
    inference(forward_subsumption_resolution,[],[f332,f231]) ).

fof(f336,plain,
    null_class = intersection(x,cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),
    inference(forward_subsumption_resolution,[],[f331,f231]) ).

fof(f337,plain,
    ! [X0] :
      ( ~ member(X0,cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class))
      | member(X0,null_class)
      | ~ member(X0,x) ),
    inference(superposition,[],[f23,f336]) ).

fof(f339,plain,
    ! [X0] :
      ( member(X0,x)
      | ~ member(X0,null_class) ),
    inference(superposition,[],[f21,f336]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ member(X0,cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class))
      | member(X0,null_class)
      | ~ member(X0,complement(x)) ),
    inference(superposition,[],[f23,f335]) ).

fof(f360,plain,
    ! [X0] :
      ( member(X0,complement(x))
      | ~ member(X0,null_class) ),
    inference(superposition,[],[f21,f335]) ).

fof(f361,plain,
    ! [X0] :
      ( ~ member(X0,null_class)
      | ~ member(X0,x) ),
    inference(resolution,[],[f360,f24]) ).

fof(f373,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(forward_subsumption_resolution,[],[f361,f339]) ).

fof(f386,plain,
    ( member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),null_class)
    | ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),x)
    | null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class) ),
    inference(resolution,[],[f337,f68]) ).

fof(f387,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),x)
    | null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class) ),
    inference(forward_subsumption_resolution,[],[f386,f373]) ).

fof(f390,definition,
    ( spl0_14
  <=> null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f392,plain,
    ( null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f394,definition,
    ( spl0_15
  <=> member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),x) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f396,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),x)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f387,f394,f390]) ).

fof(f412,plain,
    ( member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),null_class)
    | ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),complement(x))
    | null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class) ),
    inference(resolution,[],[f358,f68]) ).

fof(f413,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),complement(x))
    | null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class) ),
    inference(forward_subsumption_resolution,[],[f412,f373]) ).

fof(f416,definition,
    ( spl0_16
  <=> member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),complement(x)) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f418,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),complement(x))
    | spl0_16 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f419,plain,
    ( spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f413,f416,f390]) ).

fof(f421,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),universal_class)
    | member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),x)
    | spl0_16 ),
    inference(resolution,[],[f418,f25]) ).

fof(f422,plain,
    ( ~ member(regular(cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)),universal_class)
    | spl0_15
    | spl0_16 ),
    inference(forward_subsumption_resolution,[],[f421,f396]) ).

fof(f423,plain,
    ( null_class = cross_product(unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))),universal_class)
    | spl0_15
    | spl0_16 ),
    inference(resolution,[],[f422,f228]) ).

fof(f425,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f423,f416,f394,f390]) ).

fof(f435,plain,
    ( ! [X0,X1] :
        ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
        | ~ member(X1,universal_class)
        | ~ member(X0,unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x))))) )
    | ~ spl0_14 ),
    inference(superposition,[],[f138,f392]) ).

fof(f439,plain,
    ( ! [X0,X1] :
        ( ~ member(X1,universal_class)
        | ~ member(X0,unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x))))) )
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f435,f373]) ).

fof(f443,definition,
    ( spl0_17
  <=> ! [X0] : ~ member(X0,unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x))))) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X0] : ~ member(X0,unordered_pair(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),not_subclass_element(complement(domain_of(x)),domain_of(complement(x)))))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,definition,
    ( spl0_18
  <=> ! [X1] : ~ member(X1,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X1] : ~ member(X1,universal_class)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f439,f390,f446,f443]) ).

fof(f462,plain,
    ( $false
    | ~ spl0_18 ),
    inference(resolution,[],[f447,f231]) ).

fof(f476,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f569,plain,
    ( ~ member(not_subclass_element(complement(domain_of(x)),domain_of(complement(x))),universal_class)
    | ~ spl0_17 ),
    inference(resolution,[],[f444,f9]) ).

fof(f576,plain,
    ( $false
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f569,f231]) ).

fof(f577,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f576]) ).

cnf(s9,plain,
    ( spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s10,plain,
    ( spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s11,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s12,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s17,plain,
    ~ spl0_18,
    inference(sat_conversion,[],[f476]) ).

cnf(s21,plain,
    ~ spl0_17,
    inference(sat_conversion,[],[f577]) ).

cnf(s22,plain,
    ~ spl0_14,
    inference(rat,[],[s12,s17,s21]) ).

cnf(s23,plain,
    ( spl0_15
    | spl0_16 ),
    inference(rat,[],[s11,s22]) ).

cnf(s24,plain,
    ~ spl0_16,
    inference(rat,[],[s10,s22]) ).

cnf(s25,plain,
    spl0_15,
    inference(rat,[],[s23,s24]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s9,s25,s22]) ).

fof(f578,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET267-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n019.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 01:15:48 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48  % (3570291)Will run a generic schedule for satisfiability detection.
% 0.17/0.48  % (3570299)dis+10_1_sil=32000:sp=arity:random_seed=1382003085:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48  % (3570297)% WARNING: option uhcvi not known.
% 0.17/0.48  % (3570296)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2616538773_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48  % (3570297)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=173124174:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48  % (3570298)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2004848178:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48  % (3570301)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2221771870:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48  % (3570300)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4132675382:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48  % (3570302)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1184537170:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48  % (3570300) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3570291-3570300"...
% 0.17/0.48  % (3570300)...printing done.
% 0.17/0.48  % (3570300)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (3570300)------------------------------
% 0.17/0.48  % (3570300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48  % (3570300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48  % (3570300)CaDiCaL version: 2.1.3
% 0.17/0.48  % (3570300)Termination reason: Refutation
% 0.17/0.48  % (3570300)Time elapsed: 0.021 s
% 0.17/0.48  % (3570300)Peak memory usage: 13 MB
% 0.17/0.48  % (3570300)Instructions burned: 31 (million)
% 0.17/0.48  % (3570291)Success in time 0.058 s
% 0.17/0.48  % Vampire exiting
%------------------------------------------------------------------------------