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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET345-6 : 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 : 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 12:40:48 PM UTC 2026

% Result   : Unsatisfiable 19.12s 3.69s
% Output   : Refutation 20.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   74 (  33 unt;   0 def)
%            Number of atoms       :  130 (  32 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  114 (  58   ~;  56   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   5 con; 0-3 aty)
%            Number of variables   :  125 ( 125   !;   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(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(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

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(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).

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(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).

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

fof(f29,axiom,
    ! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).

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(f42,axiom,
    ! [X2,X0,X1] : second(not_subclass_element(restrict(X0,singleton(X1),X2),null_class)) = range(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range) ).

fof(f54,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).

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,
    member(x,sum_class(y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_class_alternate_defn2_1) ).

fof(f123,negated_conjecture,
    ~ member(range(element_relation,x,y),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_class_alternate_defn2_2) ).

fof(f124,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
    inference(definition_unfolding,[],[f54,f28]) ).

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(f133,plain,
    ! [X2,X0,X1] : range(X0,X1,X2) = second(not_subclass_element(intersection(X0,cross_product(unordered_pair(X1,X1),X2)),null_class)),
    inference(definition_unfolding,[],[f42,f28,f12]) ).

fof(f137,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
      | member(X0,X2) ),
    inference(definition_unfolding,[],[f14,f128]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
      | member(X1,X3) ),
    inference(definition_unfolding,[],[f15,f128]) ).

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(f140,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
      | ~ member(X0,cross_product(X1,X2)) ),
    inference(definition_unfolding,[],[f17,f128]) ).

fof(f143,plain,
    ! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
    inference(definition_unfolding,[],[f29,f28]) ).

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(f186,plain,
    member(x,domain_of(intersection(element_relation,cross_product(universal_class,y)))),
    inference(definition_unfolding,[],[f122,f124]) ).

fof(f187,plain,
    ~ member(second(not_subclass_element(intersection(element_relation,cross_product(unordered_pair(x,x),y)),null_class)),y),
    inference(definition_unfolding,[],[f123,f133]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f21,f2]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X1)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f22,f2]) ).

fof(f200,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ member(X0,cross_product(X3,X4))
      | member(second(X0),X2)
      | ~ member(X0,cross_product(X1,X2)) ),
    inference(superposition,[],[f138,f140]) ).

fof(f201,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ member(X0,cross_product(X3,X4))
      | member(first(X0),X1)
      | ~ member(X0,cross_product(X1,X2)) ),
    inference(superposition,[],[f137,f140]) ).

fof(f212,plain,
    null_class != intersection(intersection(element_relation,cross_product(universal_class,y)),cross_product(unordered_pair(x,x),universal_class)),
    inference(unit_resulting_resolution,[],[f144,f186]) ).

fof(f213,plain,
    null_class != intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))),
    inference(forward_demodulation,[],[f212,f143]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X1,X2))
      | member(second(X0),X2) ),
    inference(factoring,[],[f200]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f195,f3]) ).

fof(f243,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f237]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X1)
      | subclass(intersection(X0,X1),X1) ),
    inference(resolution,[],[f197,f3]) ).

fof(f250,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X1),
    inference(duplicate_literal_removal,[],[f244]) ).

fof(f283,plain,
    ! [X0] : ~ member(not_subclass_element(intersection(element_relation,cross_product(unordered_pair(x,x),y)),null_class),cross_product(X0,y)),
    inference(unit_resulting_resolution,[],[f218,f187]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subclass(X2,cross_product(X3,X1))
      | ~ member(X0,X2)
      | member(second(X0),X1) ),
    inference(resolution,[],[f218,f1]) ).

fof(f324,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(superposition,[],[f243,f70]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X1,X2))
      | member(first(X0),X1) ),
    inference(factoring,[],[f201]) ).

fof(f471,plain,
    subclass(intersection(element_relation,cross_product(unordered_pair(x,x),y)),null_class),
    inference(resolution,[],[f283,f197]) ).

fof(f476,plain,
    ( ~ subclass(null_class,intersection(element_relation,cross_product(unordered_pair(x,x),y)))
    | null_class = intersection(element_relation,cross_product(unordered_pair(x,x),y)) ),
    inference(resolution,[],[f471,f7]) ).

fof(f478,plain,
    null_class = intersection(element_relation,cross_product(unordered_pair(x,x),y)),
    inference(forward_subsumption_resolution,[],[f476,f324]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ member(X0,cross_product(unordered_pair(x,x),y))
      | member(X0,null_class)
      | ~ member(X0,element_relation) ),
    inference(superposition,[],[f23,f478]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
      | ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
      | ~ member(X1,y)
      | ~ member(X0,unordered_pair(x,x)) ),
    inference(resolution,[],[f545,f139]) ).

fof(f613,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f324,f7]) ).

fof(f614,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f613]) ).

fof(f618,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f614,f243]) ).

fof(f700,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,null_class) ),
    inference(superposition,[],[f22,f618]) ).

fof(f706,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f144,f618]) ).

fof(f707,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f706]) ).

fof(f761,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(resolution,[],[f707,f700]) ).

fof(f966,plain,
    member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),
    inference(unit_resulting_resolution,[],[f68,f213]) ).

fof(f1026,plain,
    member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),intersection(element_relation,cross_product(universal_class,y))),
    inference(resolution,[],[f966,f22]) ).

fof(f1027,plain,
    member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),cross_product(unordered_pair(x,x),universal_class)),
    inference(resolution,[],[f966,f21]) ).

fof(f1049,plain,
    member(second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),y),
    inference(unit_resulting_resolution,[],[f288,f250,f1026]) ).

fof(f1052,plain,
    member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),element_relation),
    inference(resolution,[],[f1026,f21]) ).

fof(f1058,plain,
    regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))) = unordered_pair(unordered_pair(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))))),unordered_pair(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))))))),
    inference(unit_resulting_resolution,[],[f140,f1027]) ).

fof(f1089,plain,
    member(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(x,x)),
    inference(resolution,[],[f1027,f425]) ).

fof(f1110,plain,
    ( member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),null_class)
    | ~ member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),element_relation)
    | ~ member(second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),y)
    | ~ member(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(x,x)) ),
    inference(superposition,[],[f591,f1058]) ).

fof(f1119,plain,
    ( ~ member(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y)))),element_relation)
    | ~ member(second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),y)
    | ~ member(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(x,x)) ),
    inference(forward_subsumption_resolution,[],[f1110,f761]) ).

fof(f1122,plain,
    ( ~ member(second(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),y)
    | ~ member(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(x,x)) ),
    inference(forward_subsumption_resolution,[],[f1119,f1052]) ).

fof(f1123,plain,
    ~ member(first(regular(intersection(cross_product(unordered_pair(x,x),universal_class),intersection(element_relation,cross_product(universal_class,y))))),unordered_pair(x,x)),
    inference(forward_subsumption_resolution,[],[f1122,f1049]) ).

fof(f1124,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1123,f1089]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET345-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n019.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 01:32:33 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  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
% 10.48/2.35  % (3575391)Input is clausal, will run a generic CNF schedule.
% 10.48/2.35  % (3575398)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=10796586:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.48/2.35  % (3575399)lrs+10_1_sil=8000:sp=occurrence:random_seed=3807910686:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.48/2.35  % (3575396)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=3591927724:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.48/2.35  % (3575397)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1307378994:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.48/2.35  % (3575402)dis-21_1_sil=8000:lcm=predicate:random_seed=3860892125: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)
% 10.48/2.35  % (3575400)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1624019805:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.48/2.35  % (3575401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2617180049:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.48/2.35  % (3575399)Instruction limit reached! 
% 10.48/2.35  % (3575399)------------------------------
% 10.48/2.35  % (3575399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.35  % (3575399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.35  % (3575399)CaDiCaL version: 2.1.3
% 10.48/2.35  % (3575399)Termination reason: Instruction limit
% 10.48/2.35  % (3575399)Termination phase: Saturation
% 10.48/2.35  % (3575399)Time elapsed: 0.072 s
% 10.48/2.35  % (3575399)Peak memory usage: 89 MB
% 10.48/2.35  % (3575399)Instructions burned: 109 (million)
% 10.48/2.35  % (3575400)Instruction limit reached! 
% 10.48/2.35  % (3575400)------------------------------
% 10.48/2.35  % (3575400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.35  % (3575400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.35  % (3575400)CaDiCaL version: 2.1.3
% 10.48/2.35  % (3575400)Termination reason: Instruction limit
% 10.48/2.35  % (3575400)Termination phase: Saturation
% 10.48/2.35  % (3575400)Time elapsed: 0.074 s
% 10.48/2.35  % (3575400)Peak memory usage: 89 MB
% 10.48/2.35  % (3575400)Instructions burned: 116 (million)
% 10.48/2.35  % (3575402)Instruction limit reached! 
% 10.48/2.35  % (3575402)------------------------------
% 10.48/2.35  % (3575402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.35  % (3575402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.35  % (3575402)CaDiCaL version: 2.1.3
% 10.48/2.35  % (3575402)Termination reason: Instruction limit
% 10.48/2.35  % (3575402)Termination phase: Saturation
% 10.48/2.35  % (3575402)Time elapsed: 0.075 s
% 10.48/2.35  % (3575402)Peak memory usage: 89 MB
% 10.48/2.35  % (3575402)Instructions burned: 117 (million)
% 10.48/2.35  % (3575401)Instruction limit reached! 
% 10.48/2.35  % (3575401)------------------------------
% 10.48/2.35  % (3575401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.35  % (3575401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.35  % (3575401)CaDiCaL version: 2.1.3
% 10.48/2.35  % (3575401)Termination reason: Instruction limit
% 10.48/2.35  % (3575401)Termination phase: Saturation
% 10.48/2.35  % (3575401)Time elapsed: 0.134 s
% 10.48/2.35  % (3575401)Peak memory usage: 90 MB
% 10.48/2.35  % (3575401)Instructions burned: 180 (million)
% 10.48/2.35  % (3575410)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=3003087323:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.48/2.35  % (3575410)Refutation not found, incomplete strategy
% 10.48/2.35  % (3575410)------------------------------
% 10.48/2.35  % (3575410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.35  % (3575410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.35  % (3575410)CaDiCaL version: 2.1.3
% 10.48/2.35  % (3575410)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.35  % (3575410)Time elapsed: 0.003 s
% 10.48/2.35  % (3575410)Peak memory usage: 88 MB
% 10.48/2.35  % (3575410)Instructions burned: 4 (million)
% 10.48/2.35  % (3575411)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2299876552: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)
% 19.12/3.68  % (3575412)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3642098573:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.12/3.68  % (3575413)lrs+10_64_to=lpo:sil=8000:random_seed=1628541696:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.12/3.68  % (3575411)Instruction limit reached! 
% 19.12/3.68  % (3575411)------------------------------
% 19.12/3.68  % (3575411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575411)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575411)Termination reason: Instruction limit
% 19.12/3.68  % (3575411)Termination phase: Saturation
% 19.12/3.68  % (3575411)Time elapsed: 0.106 s
% 19.12/3.68  % (3575411)Peak memory usage: 90 MB
% 19.12/3.68  % (3575411)Instructions burned: 190 (million)
% 19.12/3.68  % (3575412)Instruction limit reached! 
% 19.12/3.68  % (3575412)------------------------------
% 19.12/3.68  % (3575412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575412)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575412)Termination reason: Instruction limit
% 19.12/3.68  % (3575412)Termination phase: Saturation
% 19.12/3.68  % (3575412)Time elapsed: 0.138 s
% 19.12/3.68  % (3575412)Peak memory usage: 89 MB
% 19.12/3.68  % (3575412)Instructions burned: 219 (million)
% 19.12/3.68  % (3575413)Instruction limit reached! 
% 19.12/3.68  % (3575413)------------------------------
% 19.12/3.68  % (3575413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575413)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575413)Termination reason: Instruction limit
% 19.12/3.68  % (3575413)Termination phase: Saturation
% 19.12/3.68  % (3575413)Time elapsed: 0.075 s
% 19.12/3.68  % (3575413)Peak memory usage: 90 MB
% 19.12/3.68  % (3575413)Instructions burned: 126 (million)
% 19.12/3.68  % (3575410)------------------------------
% 19.12/3.68  % (3575410)------------------------------
% 19.12/3.68  % (3575418)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3412345133:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.12/3.68  % (3575419)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=976404302:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.12/3.68  % (3575420)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2204262298:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 19.12/3.68  % (3575421)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=4107115094:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.12/3.68  % (3575418)Instruction limit reached! 
% 19.12/3.68  % (3575418)------------------------------
% 19.12/3.68  % (3575418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575418)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575418)Termination reason: Instruction limit
% 19.12/3.68  % (3575418)Termination phase: Saturation
% 19.12/3.68  % (3575418)Time elapsed: 0.118 s
% 19.12/3.68  % (3575418)Peak memory usage: 89 MB
% 19.12/3.68  % (3575418)Instructions burned: 195 (million)
% 19.12/3.68  % (3575419)Instruction limit reached! 
% 19.12/3.68  % (3575419)------------------------------
% 19.12/3.68  % (3575419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575419)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575419)Termination reason: Instruction limit
% 19.12/3.68  % (3575419)Termination phase: Saturation
% 19.12/3.68  % (3575419)Time elapsed: 0.109 s
% 19.12/3.68  % (3575419)Peak memory usage: 91 MB
% 19.12/3.68  % (3575419)Instructions burned: 157 (million)
% 19.12/3.68  % (3575421)Instruction limit reached! 
% 19.12/3.68  % (3575421)------------------------------
% 19.12/3.68  % (3575421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575421)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575421)Termination reason: Instruction limit
% 19.12/3.68  % (3575421)Termination phase: Saturation
% 19.12/3.68  % (3575421)Time elapsed: 0.050 s
% 19.12/3.68  % (3575421)Peak memory usage: 94 MB
% 19.12/3.68  % (3575421)Instructions burned: 106 (million)
% 19.12/3.68  % (3575426)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1725124248:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 19.12/3.68  % (3575427)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3680777677:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 19.12/3.68  % (3575428)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4003817176:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 19.12/3.68  % (3575426)Instruction limit reached! 
% 19.12/3.68  % (3575426)------------------------------
% 19.12/3.68  % (3575426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575426)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575426)Termination reason: Instruction limit
% 19.12/3.68  % (3575426)Termination phase: Saturation
% 19.12/3.68  % (3575426)Time elapsed: 0.073 s
% 19.12/3.68  % (3575426)Peak memory usage: 89 MB
% 19.12/3.68  % (3575426)Instructions burned: 108 (million)
% 19.12/3.68  % (3575427)Instruction limit reached! 
% 19.12/3.68  % (3575427)------------------------------
% 19.12/3.68  % (3575427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575427)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575427)Termination reason: Instruction limit
% 19.12/3.68  % (3575427)Termination phase: Saturation
% 19.12/3.68  % (3575427)Time elapsed: 0.160 s
% 19.12/3.68  % (3575427)Peak memory usage: 90 MB
% 19.12/3.68  % (3575427)Instructions burned: 243 (million)
% 19.12/3.68  % (3575432)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3898111875:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 19.12/3.68  % (3575432)Instruction limit reached! 
% 19.12/3.68  % (3575432)------------------------------
% 19.12/3.68  % (3575432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575432)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575432)Termination reason: Instruction limit
% 19.12/3.68  % (3575432)Termination phase: Saturation
% 19.12/3.68  % (3575432)Time elapsed: 0.086 s
% 19.12/3.68  % (3575432)Peak memory usage: 89 MB
% 19.12/3.68  % (3575432)Instructions burned: 135 (million)
% 19.12/3.68  % (3575433)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1673206394:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 19.12/3.68  % (3575435)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2150973700:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 19.12/3.68  % (3575435)Instruction limit reached! 
% 19.12/3.68  % (3575435)------------------------------
% 19.12/3.68  % (3575435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575435)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575435)Termination reason: Instruction limit
% 19.12/3.68  % (3575435)Termination phase: Saturation
% 19.12/3.68  % (3575435)Time elapsed: 0.110 s
% 19.12/3.68  % (3575435)Peak memory usage: 89 MB
% 19.12/3.68  % (3575435)Instructions burned: 191 (million)
% 19.12/3.68  % (3575433)Instruction limit reached! 
% 19.12/3.68  % (3575433)------------------------------
% 19.12/3.68  % (3575433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.68  % (3575433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.68  % (3575433)CaDiCaL version: 2.1.3
% 19.12/3.68  % (3575433)Termination reason: Instruction limit
% 19.12/3.68  % (3575433)Termination phase: Saturation
% 19.12/3.68  % (3575433)Time elapsed: 0.300 s
% 19.12/3.68  % (3575433)Peak memory usage: 96 MB
% 19.12/3.68  % (3575433)Instructions burned: 500 (million)
% 19.12/3.68  % (3575438)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1774527588:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 19.12/3.69  % (3575439)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2210267152:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 19.12/3.69  % (3575438)Instruction limit reached! 
% 19.12/3.69  % (3575438)------------------------------
% 19.12/3.69  % (3575438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69  % (3575438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69  % (3575438)CaDiCaL version: 2.1.3
% 19.12/3.69  % (3575438)Termination reason: Instruction limit
% 19.12/3.69  % (3575438)Termination phase: Saturation
% 19.12/3.69  % (3575438)Time elapsed: 0.166 s
% 19.12/3.69  % (3575438)Peak memory usage: 91 MB
% 19.12/3.69  % (3575438)Instructions burned: 264 (million)
% 19.12/3.69  % (3575439)Instruction limit reached! 
% 19.12/3.69  % (3575439)------------------------------
% 19.12/3.69  % (3575439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69  % (3575439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69  % (3575439)CaDiCaL version: 2.1.3
% 19.12/3.69  % (3575439)Termination reason: Instruction limit
% 19.12/3.69  % (3575439)Termination phase: Saturation
% 19.12/3.69  % (3575439)Time elapsed: 0.090 s
% 19.12/3.69  % (3575439)Peak memory usage: 89 MB
% 19.12/3.69  % (3575439)Instructions burned: 157 (million)
% 19.12/3.69  % (3575442)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3076218158:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 19.12/3.69  % (3575443)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2853417333:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 19.12/3.69  % (3575443)Instruction limit reached! 
% 19.12/3.69  % (3575443)------------------------------
% 19.12/3.69  % (3575443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69  % (3575443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69  % (3575443)CaDiCaL version: 2.1.3
% 19.12/3.69  % (3575443)Termination reason: Instruction limit
% 19.12/3.69  % (3575443)Termination phase: Saturation
% 19.12/3.69  % (3575443)Time elapsed: 0.217 s
% 19.12/3.69  % (3575443)Peak memory usage: 88 MB
% 19.12/3.69  % (3575443)Instructions burned: 537 (million)
% 19.12/3.69  % (3575446)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3660960050:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 19.12/3.69  % (3575446)Instruction limit reached! 
% 19.12/3.69  % (3575446)------------------------------
% 19.12/3.69  % (3575446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69  % (3575446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69  % (3575446)CaDiCaL version: 2.1.3
% 19.12/3.69  % (3575446)Termination reason: Instruction limit
% 19.12/3.69  % (3575446)Termination phase: Saturation
% 19.12/3.69  % (3575446)Time elapsed: 0.093 s
% 19.12/3.69  % (3575446)Peak memory usage: 90 MB
% 19.12/3.69  % (3575446)Instructions burned: 181 (million)
% 19.12/3.69  % (3575448)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1542300857:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 19.12/3.69  % (3575442)First to succeed.
% 19.12/3.69  % (3575442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3575391"
% 19.12/3.69  % (3575420)Instruction limit reached! 
% 19.12/3.69  % (3575420)------------------------------
% 19.12/3.69  % (3575420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.12/3.69  % (3575420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69  % (3575420)CaDiCaL version: 2.1.3
% 19.12/3.69  % (3575420)Termination reason: Instruction limit
% 19.12/3.69  % (3575420)Termination phase: Saturation
% 19.12/3.69  % (3575420)Time elapsed: 1.974 s
% 19.12/3.69  % (3575420)Peak memory usage: 141 MB
% 19.12/3.69  % (3575420)Instructions burned: 3394 (million)
% 19.12/3.69  % (3575450)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3754798206:i=412:gtgl=4:gtg=exists_all_2973 on theBenchmark for (2973ds/412Mi)
% 19.12/3.69  % (3575442)Refutation found. Thanks to Tanya!
% 19.12/3.69  % SZS status Unsatisfiable for theBenchmark
% 19.12/3.69  % SZS output start Proof for theBenchmark
% See solution above
% 20.45/3.88  % (3575442)------------------------------
% 20.45/3.88  % (3575442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.45/3.88  % (3575442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.45/3.88  % (3575442)CaDiCaL version: 2.1.3
% 20.45/3.88  % (3575442)Termination reason: Refutation
% 20.45/3.88  % (3575442)Time elapsed: 0.775 s
% 20.45/3.88  % (3575442)Peak memory usage: 131 MB
% 20.45/3.88  % (3575442)Instructions burned: 1193 (million)
% 20.45/3.88  % (3575442)------------------------------
% 20.45/3.88  % (3575442)------------------------------
% 20.45/3.88  % (3575391)Success in time 2.815 s
% 20.45/3.88  % Vampire exiting
%------------------------------------------------------------------------------