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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT225-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 11:46:19 AM UTC 2026

% Result   : Unsatisfiable 9.17s 2.18s
% Output   : Refutation 9.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   84 (  83 unt;   0 def)
%            Number of atoms       :   86 (  85 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   92 (  92   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : meet(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).

fof(f3,axiom,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).

fof(f4,axiom,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).

fof(f6,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).

fof(f7,axiom,
    ! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).

fof(f8,axiom,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).

fof(f9,axiom,
    ! [X0] : join(X0,complement(X0)) = one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).

fof(f10,axiom,
    ! [X0] : meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( join(X0,X1) != one
      | meet(X0,X1) != zero
      | complement(X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).

fof(f12,axiom,
    ! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,X2))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H10) ).

fof(f13,axiom,
    meet(b,a) = a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).

fof(f14,plain,
    a = meet(b,a),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    join(complement(b),complement(a)) != complement(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).

fof(f16,plain,
    complement(a) != join(complement(b),complement(a)),
    inference(reorient_equations,[],[f15]) ).

fof(f20,plain,
    complement(a) != join(complement(a),complement(b)),
    inference(superposition,[],[f16,f6]) ).

fof(f26,plain,
    ! [X0,X1] : join(X1,meet(X0,X1)) = X1,
    inference(superposition,[],[f4,f5]) ).

fof(f31,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(superposition,[],[f4,f10]) ).

fof(f34,plain,
    ! [X2,X0,X1] : meet(X2,join(X1,meet(X2,X0))) = meet(X2,join(X1,meet(X0,join(X2,meet(X0,X1))))),
    inference(superposition,[],[f12,f5]) ).

fof(f39,plain,
    ! [X2,X0,X1] : meet(X2,join(X0,meet(X2,X1))) = meet(X2,join(X0,meet(X1,join(meet(X0,X1),X2)))),
    inference(superposition,[],[f12,f6]) ).

fof(f60,plain,
    ! [X0,X1] : meet(X1,join(join(X0,meet(X1,X0)),meet(X1,X0))) = meet(X1,join(join(X0,meet(X1,X0)),meet(X0,join(X1,meet(X0,X0))))),
    inference(superposition,[],[f34,f12]) ).

fof(f68,plain,
    ! [X0,X1] : meet(X1,join(join(X0,meet(X1,X0)),meet(X1,X0))) = meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,meet(X0,X0)))))),
    inference(forward_demodulation,[],[f60,f8]) ).

fof(f74,plain,
    ! [X0,X1] : meet(X1,join(join(X0,meet(X1,X0)),meet(X1,X0))) = meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,X0))))),
    inference(forward_demodulation,[],[f68,f1]) ).

fof(f78,plain,
    ! [X0,X1] : meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,X0))))) = meet(X1,join(meet(X1,X0),join(X0,meet(X1,X0)))),
    inference(forward_demodulation,[],[f74,f6]) ).

fof(f80,plain,
    ! [X0,X1] : meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,X0))))) = meet(X1,join(meet(X1,X0),X0)),
    inference(forward_demodulation,[],[f78,f26]) ).

fof(f82,plain,
    ! [X0,X1] : meet(X1,join(X0,meet(X1,X0))) = meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,X0))))),
    inference(forward_demodulation,[],[f80,f6]) ).

fof(f84,plain,
    ! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,join(meet(X1,X0),meet(X0,join(X1,X0))))),
    inference(forward_demodulation,[],[f82,f26]) ).

fof(f119,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f6,f31]) ).

fof(f133,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(X0,meet(X1,one))),
    inference(superposition,[],[f39,f9]) ).

fof(f150,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(X1,one))) = meet(complement(meet(X0,X1)),join(X0,meet(X1,complement(meet(X0,X1))))),
    inference(forward_demodulation,[],[f133,f5]) ).

fof(f181,plain,
    meet(complement(a),join(b,meet(a,one))) = meet(complement(a),join(b,meet(a,complement(a)))),
    inference(superposition,[],[f150,f14]) ).

fof(f208,plain,
    meet(complement(a),join(b,meet(a,one))) = meet(complement(a),join(b,zero)),
    inference(forward_demodulation,[],[f181,f10]) ).

fof(f211,plain,
    meet(complement(a),join(b,meet(a,one))) = meet(complement(a),join(zero,b)),
    inference(forward_demodulation,[],[f208,f6]) ).

fof(f213,plain,
    meet(complement(a),join(b,meet(a,one))) = meet(complement(a),b),
    inference(forward_demodulation,[],[f211,f119]) ).

fof(f214,plain,
    meet(complement(a),join(b,meet(a,one))) = meet(b,complement(a)),
    inference(forward_demodulation,[],[f213,f5]) ).

fof(f219,plain,
    ! [X0] : meet(X0,one) = X0,
    inference(superposition,[],[f3,f9]) ).

fof(f247,plain,
    ! [X0] : meet(one,X0) = X0,
    inference(superposition,[],[f5,f219]) ).

fof(f249,plain,
    ! [X0] : one = join(one,X0),
    inference(superposition,[],[f26,f219]) ).

fof(f277,plain,
    ! [X0] : one = join(X0,one),
    inference(superposition,[],[f6,f249]) ).

fof(f337,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
    inference(superposition,[],[f8,f4]) ).

fof(f338,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
    inference(superposition,[],[f8,f26]) ).

fof(f352,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f6,f8]) ).

fof(f456,plain,
    ! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
    inference(superposition,[],[f10,f7]) ).

fof(f897,plain,
    ! [X0] : join(b,X0) = join(b,join(a,X0)),
    inference(superposition,[],[f337,f14]) ).

fof(f900,plain,
    ! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
    inference(superposition,[],[f337,f6]) ).

fof(f905,plain,
    ! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
    inference(superposition,[],[f337,f9]) ).

fof(f926,plain,
    ! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
    inference(forward_demodulation,[],[f905,f277]) ).

fof(f931,plain,
    ! [X0] : join(b,X0) = join(a,join(X0,b)),
    inference(forward_demodulation,[],[f897,f352]) ).

fof(f956,plain,
    one = join(b,complement(a)),
    inference(superposition,[],[f926,f14]) ).

fof(f984,plain,
    ! [X0] : join(one,X0) = join(b,join(complement(a),X0)),
    inference(superposition,[],[f8,f956]) ).

fof(f988,plain,
    ! [X0] : one = join(b,join(complement(a),X0)),
    inference(forward_demodulation,[],[f984,f249]) ).

fof(f1572,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(join(X1,join(meet(X0,X1),meet(X1,join(X0,X1)))),one))) = meet(complement(meet(X0,X1)),join(X0,meet(join(X1,join(meet(X0,X1),meet(X1,join(X0,X1)))),complement(meet(X0,X1))))),
    inference(superposition,[],[f150,f84]) ).

fof(f1587,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(join(X1,join(meet(X0,X1),meet(X1,join(X0,X1)))),one))) = meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),join(X1,join(meet(X0,X1),meet(X1,join(X0,X1))))))),
    inference(forward_demodulation,[],[f1572,f5]) ).

fof(f1651,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(join(X1,meet(X1,join(X0,X1))),one))) = meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),join(X1,meet(X1,join(X0,X1)))))),
    inference(forward_demodulation,[],[f1587,f338]) ).

fof(f1691,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(X0,meet(X1,one))),
    inference(forward_demodulation,[],[f1651,f4]) ).

fof(f1715,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = meet(complement(meet(X0,X1)),join(X0,X1)),
    inference(forward_demodulation,[],[f1691,f219]) ).

fof(f1722,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(complement(meet(X0,X1)),X1))) = meet(join(X0,X1),complement(meet(X0,X1))),
    inference(forward_demodulation,[],[f1715,f5]) ).

fof(f1727,plain,
    ! [X0,X1] : meet(complement(meet(X0,X1)),join(X0,meet(X1,complement(meet(X0,X1))))) = meet(join(X0,X1),complement(meet(X0,X1))),
    inference(forward_demodulation,[],[f1722,f5]) ).

fof(f1773,plain,
    ! [X0,X1] : meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))) = meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
    inference(superposition,[],[f12,f1727]) ).

fof(f2969,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(join(b,meet(a,one)),meet(join(complement(a),join(b,meet(a,one))),complement(meet(b,complement(a)))))),
    inference(superposition,[],[f1773,f214]) ).

fof(f3033,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(join(complement(a),join(b,meet(a,one))),complement(meet(b,complement(a))))))),
    inference(forward_demodulation,[],[f2969,f8]) ).

fof(f3092,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(complement(meet(b,complement(a))),join(complement(a),join(b,meet(a,one))))))),
    inference(forward_demodulation,[],[f3033,f5]) ).

fof(f3141,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(complement(meet(b,complement(a))),join(b,join(meet(a,one),complement(a))))))),
    inference(forward_demodulation,[],[f3092,f352]) ).

fof(f3179,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(complement(meet(b,complement(a))),join(b,join(complement(a),meet(a,one))))))),
    inference(forward_demodulation,[],[f3141,f6]) ).

fof(f3204,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(complement(meet(b,complement(a))),one)))),
    inference(forward_demodulation,[],[f3179,f988]) ).

fof(f3225,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),meet(one,complement(meet(b,complement(a))))))),
    inference(forward_demodulation,[],[f3204,f5]) ).

fof(f3238,plain,
    meet(complement(a),join(join(b,meet(a,one)),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(meet(a,one),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3225,f247]) ).

fof(f3248,plain,
    meet(complement(a),join(join(b,a),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,join(a,complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3238,f219]) ).

fof(f3257,plain,
    meet(complement(a),join(join(b,a),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(a,join(complement(meet(b,complement(a))),b))),
    inference(forward_demodulation,[],[f3248,f352]) ).

fof(f3266,plain,
    meet(complement(a),join(join(b,a),meet(complement(a),complement(meet(b,complement(a)))))) = meet(complement(a),join(b,complement(meet(b,complement(a))))),
    inference(forward_demodulation,[],[f3257,f931]) ).

fof(f3274,plain,
    meet(complement(a),one) = meet(complement(a),join(join(b,a),meet(complement(a),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3266,f926]) ).

fof(f3281,plain,
    meet(complement(a),one) = meet(complement(a),join(b,join(a,meet(complement(a),complement(meet(b,complement(a))))))),
    inference(forward_demodulation,[],[f3274,f8]) ).

fof(f3285,plain,
    meet(complement(a),one) = meet(complement(a),join(a,join(meet(complement(a),complement(meet(b,complement(a)))),b))),
    inference(forward_demodulation,[],[f3281,f352]) ).

fof(f3289,plain,
    meet(complement(a),one) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3285,f931]) ).

fof(f3292,plain,
    meet(one,complement(a)) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3289,f5]) ).

fof(f3293,plain,
    complement(a) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3292,f247]) ).

fof(f3299,plain,
    join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(join(b,meet(complement(a),complement(meet(b,complement(a))))),complement(a)),
    inference(superposition,[],[f26,f3293]) ).

fof(f3317,plain,
    join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
    inference(forward_demodulation,[],[f3299,f6]) ).

fof(f3326,plain,
    join(complement(a),b) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
    inference(forward_demodulation,[],[f3317,f900]) ).

fof(f3334,plain,
    join(b,complement(a)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
    inference(forward_demodulation,[],[f3326,f6]) ).

fof(f3341,plain,
    one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
    inference(forward_demodulation,[],[f3334,f956]) ).

fof(f3364,plain,
    complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
    inference(unit_resulting_resolution,[],[f11,f456,f3341]) ).

fof(f3437,plain,
    complement(a) = join(complement(a),complement(b)),
    inference(superposition,[],[f4,f3364]) ).

fof(f3460,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3437,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LAT225-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  % Computer : n006.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Sun Sep 27 14:06:40 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  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
% 9.17/2.17  % (3003018)Input is clausal, will run a generic CNF schedule.
% 9.17/2.17  % (3003104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=891020087:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.17/2.17  % (3003099)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=4013375847:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.17/2.17  % (3003101)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3463330361:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.17/2.17  % (3003105)dis-21_1_sil=8000:lcm=predicate:random_seed=899529561: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)
% 9.17/2.17  % (3003100)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=448202818:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.17/2.17  % (3003102)lrs+10_1_sil=8000:sp=occurrence:random_seed=3747710086:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.17/2.18  % (3003105)Refutation not found, incomplete strategy
% 9.17/2.18  % (3003105)------------------------------
% 9.17/2.18  % (3003105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003105)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003105)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.18  % (3003105)Time elapsed: 0.002 s
% 9.17/2.18  % (3003105)Peak memory usage: 88 MB
% 9.17/2.18  % (3003105)Instructions burned: 1 (million)
% 9.17/2.18  % (3003103)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2771683937:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.17/2.18  % (3003104)Instruction limit reached! 
% 9.17/2.18  % (3003104)------------------------------
% 9.17/2.18  % (3003104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003104)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003104)Termination reason: Instruction limit
% 9.17/2.18  % (3003104)Termination phase: Saturation
% 9.17/2.18  % (3003104)Time elapsed: 0.054 s
% 9.17/2.18  % (3003104)Peak memory usage: 90 MB
% 9.17/2.18  % (3003104)Instructions burned: 182 (million)
% 9.17/2.18  % (3003102)Instruction limit reached! 
% 9.17/2.18  % (3003102)------------------------------
% 9.17/2.18  % (3003102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003102)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003102)Termination reason: Instruction limit
% 9.17/2.18  % (3003102)Termination phase: Saturation
% 9.17/2.18  % (3003102)Time elapsed: 0.065 s
% 9.17/2.18  % (3003102)Peak memory usage: 89 MB
% 9.17/2.18  % (3003102)Instructions burned: 107 (million)
% 9.17/2.18  % (3003103)Instruction limit reached! 
% 9.17/2.18  % (3003103)------------------------------
% 9.17/2.18  % (3003103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003103)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003103)Termination reason: Instruction limit
% 9.17/2.18  % (3003103)Termination phase: Saturation
% 9.17/2.18  % (3003103)Time elapsed: 0.072 s
% 9.17/2.18  % (3003103)Peak memory usage: 89 MB
% 9.17/2.18  % (3003103)Instructions burned: 115 (million)
% 9.17/2.18  % (3003113)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=1678816744:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.17/2.18  % (3003113)Instruction limit reached! 
% 9.17/2.18  % (3003113)------------------------------
% 9.17/2.18  % (3003113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003113)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003113)Termination reason: Instruction limit
% 9.17/2.18  % (3003113)Termination phase: Saturation
% 9.17/2.18  % (3003113)Time elapsed: 0.044 s
% 9.17/2.18  % (3003113)Peak memory usage: 90 MB
% 9.17/2.18  % (3003113)Instructions burned: 144 (million)
% 9.17/2.18  % (3003114)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3898586263: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)
% 9.17/2.18  % (3003115)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1373108592:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.17/2.18  % (3003105)------------------------------
% 9.17/2.18  % (3003105)------------------------------
% 9.17/2.18  % (3003117)lrs+10_64_to=lpo:sil=8000:random_seed=2694688594:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.17/2.18  % (3003114)Instruction limit reached! 
% 9.17/2.18  % (3003114)------------------------------
% 9.17/2.18  % (3003114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003114)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003114)Termination reason: Instruction limit
% 9.17/2.18  % (3003114)Termination phase: Saturation
% 9.17/2.18  % (3003114)Time elapsed: 0.123 s
% 9.17/2.18  % (3003114)Peak memory usage: 90 MB
% 9.17/2.18  % (3003114)Instructions burned: 189 (million)
% 9.17/2.18  % (3003117)Instruction limit reached! 
% 9.17/2.18  % (3003117)------------------------------
% 9.17/2.18  % (3003117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003117)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003117)Termination reason: Instruction limit
% 9.17/2.18  % (3003117)Termination phase: Saturation
% 9.17/2.18  % (3003117)Time elapsed: 0.039 s
% 9.17/2.18  % (3003117)Peak memory usage: 88 MB
% 9.17/2.18  % (3003117)Instructions burned: 127 (million)
% 9.17/2.18  % (3003115)Instruction limit reached! 
% 9.17/2.18  % (3003115)------------------------------
% 9.17/2.18  % (3003115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003115)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003115)Termination reason: Instruction limit
% 9.17/2.18  % (3003115)Termination phase: Saturation
% 9.17/2.18  % (3003115)Time elapsed: 0.132 s
% 9.17/2.18  % (3003115)Peak memory usage: 89 MB
% 9.17/2.18  % (3003115)Instructions burned: 220 (million)
% 9.17/2.18  % (3003120)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1966756935:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.17/2.18  % (3003123)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1859487608:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.17/2.18  % (3003122)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1455842706:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.17/2.18  % (3003124)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=3697879089:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.17/2.18  % (3003120)Instruction limit reached! 
% 9.17/2.18  % (3003120)------------------------------
% 9.17/2.18  % (3003120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003120)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003120)Termination reason: Instruction limit
% 9.17/2.18  % (3003120)Termination phase: Saturation
% 9.17/2.18  % (3003120)Time elapsed: 0.122 s
% 9.17/2.18  % (3003120)Peak memory usage: 90 MB
% 9.17/2.18  % (3003120)Instructions burned: 194 (million)
% 9.17/2.18  % (3003124)Instruction limit reached! 
% 9.17/2.18  % (3003124)------------------------------
% 9.17/2.18  % (3003124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003124)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003124)Termination reason: Instruction limit
% 9.17/2.18  % (3003124)Termination phase: Saturation
% 9.17/2.18  % (3003124)Time elapsed: 0.068 s
% 9.17/2.18  % (3003124)Peak memory usage: 89 MB
% 9.17/2.18  % (3003124)Instructions burned: 106 (million)
% 9.17/2.18  % (3003122)Instruction limit reached! 
% 9.17/2.18  % (3003122)------------------------------
% 9.17/2.18  % (3003122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003122)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003122)Termination reason: Instruction limit
% 9.17/2.18  % (3003122)Termination phase: Saturation
% 9.17/2.18  % (3003122)Time elapsed: 0.097 s
% 9.17/2.18  % (3003122)Peak memory usage: 90 MB
% 9.17/2.18  % (3003122)Instructions burned: 158 (million)
% 9.17/2.18  % (3003129)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4203398904:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.17/2.18  % (3003130)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=830117124:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.17/2.18  % (3003129)Instruction limit reached! 
% 9.17/2.18  % (3003129)------------------------------
% 9.17/2.18  % (3003129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003129)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003129)Termination reason: Instruction limit
% 9.17/2.18  % (3003129)Termination phase: Saturation
% 9.17/2.18  % (3003129)Time elapsed: 0.066 s
% 9.17/2.18  % (3003129)Peak memory usage: 88 MB
% 9.17/2.18  % (3003129)Instructions burned: 107 (million)
% 9.17/2.18  % (3003131)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1062128247:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.17/2.18  % (3003100)First to succeed.
% 9.17/2.18  % (3003130)Instruction limit reached! 
% 9.17/2.18  % (3003130)------------------------------
% 9.17/2.18  % (3003130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003130)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003130)Termination reason: Instruction limit
% 9.17/2.18  % (3003130)Termination phase: Saturation
% 9.17/2.18  % (3003130)Time elapsed: 0.136 s
% 9.17/2.18  % (3003130)Peak memory usage: 90 MB
% 9.17/2.18  % (3003130)Instructions burned: 244 (million)
% 9.17/2.18  % (3003100)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3003018"
% 9.17/2.18  % (3003123)Also succeeded, but the first one will report.
% 9.17/2.18  % (3003135)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4211082321:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.17/2.18  % (3003135)Instruction limit reached! 
% 9.17/2.18  % (3003135)------------------------------
% 9.17/2.18  % (3003135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.18  % (3003135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.18  % (3003135)CaDiCaL version: 2.1.3
% 9.17/2.18  % (3003135)Termination reason: Instruction limit
% 9.17/2.18  % (3003135)Termination phase: Saturation
% 9.17/2.18  % (3003135)Time elapsed: 0.081 s
% 9.17/2.18  % (3003135)Peak memory usage: 90 MB
% 9.17/2.18  % (3003135)Instructions burned: 134 (million)
% 9.17/2.18  % (3003136)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1200219004:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.17/2.18  % (3003100)Refutation found. Thanks to Tanya!
% 9.17/2.18  % SZS status Unsatisfiable for theBenchmark
% 9.17/2.18  % SZS output start Proof for theBenchmark
% See solution above
% 9.77/2.37  % (3003100)------------------------------
% 9.77/2.37  % (3003100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.77/2.37  % (3003100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.77/2.37  % (3003100)CaDiCaL version: 2.1.3
% 9.77/2.37  % (3003100)Termination reason: Refutation
% 9.77/2.37  % (3003100)Time elapsed: 0.869 s
% 9.77/2.37  % (3003100)Peak memory usage: 131 MB
% 9.77/2.37  % (3003100)Instructions burned: 1314 (million)
% 9.77/2.37  % (3003100)------------------------------
% 9.77/2.37  % (3003100)------------------------------
% 9.77/2.37  % (3003018)Success in time 1.301 s
% 9.77/2.37  % Vampire exiting
%------------------------------------------------------------------------------