↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM040-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:11:38 PM UTC 2026

% Result   : Unsatisfiable 5.48s 1.74s
% Output   : Refutation 5.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  23 unt;   0 def)
%            Number of atoms       :   67 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  28   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-3 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

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

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

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

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

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

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

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

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

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ irreflexive(X0,X1)
      | subclass(restrict(X0,X1,X1),complement(identity_relation)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive1) ).

fof(f124,axiom,
    ! [X0,X1] :
      ( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
      | irreflexive(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive2) ).

fof(f176,negated_conjecture,
    irreflexive(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property2_1) ).

fof(f177,negated_conjecture,
    subclass(z,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property2_2) ).

fof(f178,negated_conjecture,
    ~ irreflexive(x,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property2_3) ).

fof(f179,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(f196,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,f179]) ).

fof(f197,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,f179]) ).

fof(f198,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,f179]) ).

fof(f199,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X1,X2))
      | unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
    inference(definition_unfolding,[],[f17,f179]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,cross_product(X1,X1)),complement(identity_relation))
      | ~ irreflexive(X0,X1) ),
    inference(definition_unfolding,[],[f123,f28]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ subclass(intersection(X0,cross_product(X1,X1)),complement(identity_relation))
      | irreflexive(X0,X1) ),
    inference(definition_unfolding,[],[f124,f28]) ).

fof(f275,plain,
    subclass(intersection(x,cross_product(y,y)),complement(identity_relation)),
    inference(unit_resulting_resolution,[],[f245,f176]) ).

fof(f282,plain,
    ~ subclass(intersection(x,cross_product(z,z)),complement(identity_relation)),
    inference(unit_resulting_resolution,[],[f246,f178]) ).

fof(f288,plain,
    ~ member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),complement(identity_relation)),
    inference(unit_resulting_resolution,[],[f3,f282]) ).

fof(f289,plain,
    member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),intersection(x,cross_product(z,z))),
    inference(unit_resulting_resolution,[],[f2,f282]) ).

fof(f291,plain,
    ~ member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),intersection(x,cross_product(y,y))),
    inference(unit_resulting_resolution,[],[f1,f275,f288]) ).

fof(f301,plain,
    member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),cross_product(z,z)),
    inference(unit_resulting_resolution,[],[f22,f289]) ).

fof(f302,plain,
    member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),x),
    inference(unit_resulting_resolution,[],[f21,f289]) ).

fof(f318,plain,
    ~ member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),cross_product(y,y)),
    inference(unit_resulting_resolution,[],[f23,f291,f302]) ).

fof(f356,plain,
    not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)) = unordered_pair(unordered_pair(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)))),unordered_pair(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),unordered_pair(second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)))))),
    inference(unit_resulting_resolution,[],[f199,f301]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),cross_product(X0,X1))
      | member(second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),X1) ),
    inference(superposition,[],[f197,f356]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),cross_product(X0,X1))
      | member(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),X0) ),
    inference(superposition,[],[f196,f356]) ).

fof(f386,plain,
    member(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),z),
    inference(unit_resulting_resolution,[],[f383,f301]) ).

fof(f400,plain,
    member(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),y),
    inference(unit_resulting_resolution,[],[f1,f177,f386]) ).

fof(f422,plain,
    member(second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),z),
    inference(unit_resulting_resolution,[],[f382,f301]) ).

fof(f440,plain,
    member(second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),y),
    inference(unit_resulting_resolution,[],[f1,f177,f422]) ).

fof(f458,plain,
    member(unordered_pair(unordered_pair(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)))),unordered_pair(first(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),unordered_pair(second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation))),second(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)))))),cross_product(y,y)),
    inference(unit_resulting_resolution,[],[f198,f400,f440]) ).

fof(f469,plain,
    member(not_subclass_element(intersection(x,cross_product(z,z)),complement(identity_relation)),cross_product(y,y)),
    inference(forward_demodulation,[],[f458,f356]) ).

fof(f470,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f469,f318]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM040-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 18:43:43 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.47/1.54  % (3335212)Input is clausal, will run a generic CNF schedule.
% 4.47/1.54  % (3335218)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1033782895:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.47/1.54  % (3335221)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1281674549:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.47/1.54  % (3335219)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4134641312:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.47/1.54  % (3335220)lrs+10_1_sil=8000:sp=occurrence:random_seed=2798408692:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.47/1.54  % (3335217)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=1236989483:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.47/1.54  % (3335222)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1441485241:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.47/1.54  % (3335223)dis-21_1_sil=8000:lcm=predicate:random_seed=123541072: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)
% 4.47/1.54  % (3335220)Instruction limit reached! 
% 4.47/1.54  % (3335220)------------------------------
% 4.47/1.54  % (3335220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.54  % (3335220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.54  % (3335220)CaDiCaL version: 2.1.3
% 4.47/1.54  % (3335220)Termination reason: Instruction limit
% 4.47/1.54  % (3335220)Termination phase: Saturation
% 4.47/1.54  % (3335220)Time elapsed: 0.040 s
% 4.47/1.54  % (3335220)Peak memory usage: 88 MB
% 4.47/1.54  % (3335220)Instructions burned: 108 (million)
% 4.47/1.54  % (3335221)Instruction limit reached! 
% 4.47/1.54  % (3335221)------------------------------
% 4.47/1.54  % (3335221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.54  % (3335221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.54  % (3335221)CaDiCaL version: 2.1.3
% 4.47/1.54  % (3335221)Termination reason: Instruction limit
% 4.47/1.54  % (3335221)Termination phase: Saturation
% 4.47/1.54  % (3335221)Time elapsed: 0.069 s
% 4.47/1.54  % (3335221)Peak memory usage: 89 MB
% 4.47/1.54  % (3335221)Instructions burned: 115 (million)
% 4.47/1.54  % (3335223)Instruction limit reached! 
% 4.47/1.54  % (3335223)------------------------------
% 4.47/1.54  % (3335223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.54  % (3335223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.54  % (3335223)CaDiCaL version: 2.1.3
% 4.47/1.54  % (3335223)Termination reason: Instruction limit
% 4.47/1.54  % (3335223)Termination phase: Saturation
% 4.47/1.54  % (3335223)Time elapsed: 0.071 s
% 4.47/1.54  % (3335223)Peak memory usage: 89 MB
% 4.47/1.54  % (3335223)Instructions burned: 118 (million)
% 4.47/1.54  % (3335222)Instruction limit reached! 
% 4.47/1.54  % (3335222)------------------------------
% 4.47/1.54  % (3335222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.54  % (3335222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.54  % (3335222)CaDiCaL version: 2.1.3
% 4.47/1.54  % (3335222)Termination reason: Instruction limit
% 4.47/1.54  % (3335222)Termination phase: Saturation
% 4.47/1.54  % (3335222)Time elapsed: 0.139 s
% 4.47/1.54  % (3335222)Peak memory usage: 91 MB
% 4.47/1.54  % (3335222)Instructions burned: 180 (million)
% 4.47/1.54  % (3335231)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=4136338828:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.47/1.54  % (3335231)Refutation not found, incomplete strategy
% 4.47/1.54  % (3335231)------------------------------
% 4.47/1.54  % (3335231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.54  % (3335231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.54  % (3335231)CaDiCaL version: 2.1.3
% 4.47/1.54  % (3335231)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.54  % (3335231)Time elapsed: 0.003 s
% 4.47/1.54  % (3335231)Peak memory usage: 88 MB
% 4.47/1.54  % (3335231)Instructions burned: 2 (million)
% 4.47/1.54  % (3335232)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=293463148: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)
% 5.48/1.74  % (3335232)Refutation not found, incomplete strategy
% 5.48/1.74  % (3335232)------------------------------
% 5.48/1.74  % (3335232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.74  % (3335232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.74  % (3335232)CaDiCaL version: 2.1.3
% 5.48/1.74  % (3335232)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.74  % (3335232)Time elapsed: 0.005 s
% 5.48/1.74  % (3335232)Peak memory usage: 88 MB
% 5.48/1.74  % (3335232)Instructions burned: 5 (million)
% 5.48/1.74  % (3335233)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4096250446:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.48/1.74  % (3335233)Refutation not found, incomplete strategy
% 5.48/1.74  % (3335233)------------------------------
% 5.48/1.74  % (3335233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.74  % (3335233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.74  % (3335233)CaDiCaL version: 2.1.3
% 5.48/1.74  % (3335233)Termination reason: Refutation not found, incomplete strategy
% 5.48/1.74  % (3335233)Time elapsed: 0.004 s
% 5.48/1.74  % (3335233)Peak memory usage: 88 MB
% 5.48/1.74  % (3335233)Instructions burned: 3 (million)
% 5.48/1.74  % (3335234)lrs+10_64_to=lpo:sil=8000:random_seed=1857378066:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.48/1.74  % (3335218)First to succeed.
% 5.48/1.74  % (3335218)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3335212"
% 5.48/1.74  % (3335234)Instruction limit reached! 
% 5.48/1.74  % (3335234)------------------------------
% 5.48/1.74  % (3335234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.74  % (3335234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.74  % (3335234)CaDiCaL version: 2.1.3
% 5.48/1.74  % (3335234)Termination reason: Instruction limit
% 5.48/1.74  % (3335234)Termination phase: Saturation
% 5.48/1.74  % (3335234)Time elapsed: 0.080 s
% 5.48/1.74  % (3335234)Peak memory usage: 89 MB
% 5.48/1.74  % (3335234)Instructions burned: 129 (million)
% 5.48/1.74  % (3335231)------------------------------
% 5.48/1.74  % (3335231)------------------------------
% 5.48/1.74  % (3335232)------------------------------
% 5.48/1.74  % (3335232)------------------------------
% 5.48/1.74  % (3335233)------------------------------
% 5.48/1.74  % (3335233)------------------------------
% 5.48/1.74  % (3335218)Refutation found. Thanks to Tanya!
% 5.48/1.74  % SZS status Unsatisfiable for theBenchmark
% 5.48/1.74  % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.74  % (3335218)------------------------------
% 5.48/1.74  % (3335218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.74  % (3335218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.74  % (3335218)CaDiCaL version: 2.1.3
% 5.48/1.74  % (3335218)Termination reason: Refutation
% 5.48/1.74  % (3335218)Time elapsed: 0.390 s
% 5.48/1.74  % (3335218)Peak memory usage: 131 MB
% 5.48/1.74  % (3335218)Instructions burned: 1035 (million)
% 5.48/1.74  % (3335218)------------------------------
% 5.48/1.74  % (3335218)------------------------------
% 5.48/1.74  % (3335212)Success in time 0.695 s
% 5.48/1.74  % Vampire exiting
%------------------------------------------------------------------------------