%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT222-1 : 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 : n009.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 11:46:18 AM UTC 2026
% Result : Unsatisfiable 19.29s 3.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 87 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 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 : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
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(meet(X0,join(X1,meet(X0,X2))),meet(X2,join(X0,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H6) ).
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(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(f35,plain,
! [X0,X1] : meet(X0,join(X1,zero)) = meet(X0,join(meet(X0,join(X1,zero)),meet(complement(X0),join(X0,X1)))),
inference(superposition,[],[f12,f10]) ).
fof(f68,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f35,f31]) ).
fof(f81,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(meet(X0,X1),meet(complement(X1),join(X1,X0)))),
inference(superposition,[],[f68,f5]) ).
fof(f121,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f128,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f31]) ).
fof(f135,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f138,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f144,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f26,f3]) ).
fof(f146,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f144,f6]) ).
fof(f154,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f26,f138]) ).
fof(f156,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f138]) ).
fof(f170,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f6,f154]) ).
fof(f209,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f210,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f26]) ).
fof(f211,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f232,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f8]) ).
fof(f242,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f211,f154]) ).
fof(f248,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f249,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f263,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f385,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f4,f128]) ).
fof(f410,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f135]) ).
fof(f482,plain,
! [X0,X1] : one = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f242,f6]) ).
fof(f577,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f209,f6]) ).
fof(f582,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f209,f9]) ).
fof(f611,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f582,f170]) ).
fof(f638,plain,
one = join(b,complement(a)),
inference(superposition,[],[f611,f14]) ).
fof(f672,plain,
meet(b,complement(a)) = meet(b,join(meet(b,complement(a)),meet(complement(b),one))),
inference(superposition,[],[f68,f638]) ).
fof(f676,plain,
meet(b,complement(a)) = meet(b,join(meet(b,complement(a)),meet(one,complement(b)))),
inference(forward_demodulation,[],[f672,f5]) ).
fof(f679,plain,
meet(b,complement(a)) = meet(b,join(meet(one,complement(b)),meet(b,complement(a)))),
inference(forward_demodulation,[],[f676,f6]) ).
fof(f681,plain,
meet(b,complement(a)) = meet(b,join(complement(b),meet(b,complement(a)))),
inference(forward_demodulation,[],[f679,f156]) ).
fof(f2452,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(superposition,[],[f11,f232]) ).
fof(f2468,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f2452]) ).
fof(f2676,plain,
! [X0,X1] : meet(zero,X0) = meet(X1,meet(X0,complement(X1))),
inference(superposition,[],[f249,f5]) ).
fof(f2753,plain,
! [X0,X1] : zero = meet(X1,meet(X0,complement(X1))),
inference(forward_demodulation,[],[f2676,f385]) ).
fof(f5504,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f121,f9]) ).
fof(f5519,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f5504]) ).
fof(f5529,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f5519,f5]) ).
fof(f5546,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f5529,f10]) ).
fof(f6013,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),meet(complement(join(complement(b),meet(b,complement(a)))),join(join(complement(b),meet(b,complement(a))),b)))),
inference(superposition,[],[f81,f681]) ).
fof(f6150,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),meet(complement(join(complement(b),meet(b,complement(a)))),join(b,join(complement(b),meet(b,complement(a))))))),
inference(forward_demodulation,[],[f6013,f6]) ).
fof(f6218,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),meet(complement(join(complement(b),meet(b,complement(a)))),join(b,complement(b))))),
inference(forward_demodulation,[],[f6150,f577]) ).
fof(f6269,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),meet(join(b,complement(b)),complement(join(complement(b),meet(b,complement(a))))))),
inference(forward_demodulation,[],[f6218,f5]) ).
fof(f6313,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),meet(one,complement(join(complement(b),meet(b,complement(a))))))),
inference(forward_demodulation,[],[f6269,f9]) ).
fof(f6338,plain,
meet(b,complement(a)) = meet(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),
inference(forward_demodulation,[],[f6313,f156]) ).
fof(f6362,plain,
meet(complement(b),meet(b,complement(a))) = meet(complement(b),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),
inference(superposition,[],[f248,f6338]) ).
fof(f6379,plain,
meet(b,complement(a)) = meet(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(meet(b,complement(a)),meet(complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),join(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(complement(b),meet(b,complement(a))))))),
inference(superposition,[],[f81,f6338]) ).
fof(f6396,plain,
meet(b,complement(a)) = meet(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(meet(b,complement(a)),meet(complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),join(join(complement(b),meet(b,complement(a))),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))))))),
inference(forward_demodulation,[],[f6379,f6]) ).
fof(f6413,plain,
meet(complement(b),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))) = meet(complement(a),meet(complement(b),b)),
inference(forward_demodulation,[],[f6362,f263]) ).
fof(f6421,plain,
meet(b,complement(a)) = meet(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(meet(b,complement(a)),meet(complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),one))),
inference(forward_demodulation,[],[f6396,f482]) ).
fof(f6432,plain,
meet(complement(b),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))) = meet(b,meet(complement(a),complement(b))),
inference(forward_demodulation,[],[f6413,f263]) ).
fof(f6435,plain,
meet(b,complement(a)) = meet(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(meet(b,complement(a)),meet(one,complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))))))),
inference(forward_demodulation,[],[f6421,f5]) ).
fof(f6442,plain,
zero = meet(complement(b),join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))),
inference(forward_demodulation,[],[f6432,f2753]) ).
fof(f6444,plain,
meet(b,complement(a)) = meet(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),join(meet(b,complement(a)),complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))))),
inference(forward_demodulation,[],[f6435,f156]) ).
fof(f6467,plain,
( zero != zero
| complement(complement(b)) = join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))) ),
inference(superposition,[],[f2468,f6442]) ).
fof(f6493,plain,
complement(complement(b)) = join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),
inference(trivial_inequality_removal,[],[f6467]) ).
fof(f6516,plain,
b = join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f6493,f5546]) ).
fof(f6614,plain,
join(complement(a),b) = join(complement(a),complement(join(complement(b),meet(b,complement(a))))),
inference(superposition,[],[f210,f6516]) ).
fof(f6616,plain,
join(b,b) = join(b,complement(join(complement(b),meet(b,complement(a))))),
inference(superposition,[],[f209,f6516]) ).
fof(f6617,plain,
b = join(b,complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f6616,f2]) ).
fof(f6619,plain,
join(b,complement(a)) = join(complement(a),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f6614,f6]) ).
fof(f6645,plain,
one = join(complement(a),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f6619,f638]) ).
fof(f8747,plain,
! [X0] : meet(complement(join(complement(b),meet(b,complement(a)))),X0) = meet(complement(join(complement(b),meet(b,complement(a)))),meet(b,X0)),
inference(superposition,[],[f410,f6617]) ).
fof(f8751,plain,
meet(complement(join(complement(b),meet(b,complement(a)))),meet(b,complement(a))) = meet(complement(join(complement(b),meet(b,complement(a)))),join(meet(b,complement(a)),complement(join(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a)))))))),
inference(superposition,[],[f410,f6444]) ).
fof(f8866,plain,
meet(complement(join(complement(b),meet(b,complement(a)))),meet(b,complement(a))) = meet(complement(join(complement(b),meet(b,complement(a)))),join(meet(b,complement(a)),complement(b))),
inference(forward_demodulation,[],[f8751,f6516]) ).
fof(f8869,plain,
! [X0] : meet(complement(join(complement(b),meet(b,complement(a)))),X0) = meet(b,meet(X0,complement(join(complement(b),meet(b,complement(a)))))),
inference(forward_demodulation,[],[f8747,f263]) ).
fof(f8909,plain,
meet(complement(join(complement(b),meet(b,complement(a)))),meet(b,complement(a))) = meet(join(meet(b,complement(a)),complement(b)),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f8866,f5]) ).
fof(f8925,plain,
meet(join(complement(b),meet(b,complement(a))),complement(join(complement(b),meet(b,complement(a))))) = meet(complement(join(complement(b),meet(b,complement(a)))),meet(b,complement(a))),
inference(forward_demodulation,[],[f8909,f6]) ).
fof(f8928,plain,
meet(join(complement(b),meet(b,complement(a))),complement(join(complement(b),meet(b,complement(a))))) = meet(meet(b,complement(a)),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f8925,f5]) ).
fof(f8931,plain,
meet(join(complement(b),meet(b,complement(a))),complement(join(complement(b),meet(b,complement(a))))) = meet(b,meet(complement(a),complement(join(complement(b),meet(b,complement(a)))))),
inference(forward_demodulation,[],[f8928,f7]) ).
fof(f8933,plain,
meet(join(complement(b),meet(b,complement(a))),complement(join(complement(b),meet(b,complement(a))))) = meet(complement(join(complement(b),meet(b,complement(a)))),complement(a)),
inference(forward_demodulation,[],[f8931,f8869]) ).
fof(f8934,plain,
meet(join(complement(b),meet(b,complement(a))),complement(join(complement(b),meet(b,complement(a))))) = meet(complement(a),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f8933,f5]) ).
fof(f8935,plain,
zero = meet(complement(a),complement(join(complement(b),meet(b,complement(a))))),
inference(forward_demodulation,[],[f8934,f10]) ).
fof(f8936,plain,
complement(join(complement(b),meet(b,complement(a)))) = complement(complement(a)),
inference(unit_resulting_resolution,[],[f11,f6645,f8935]) ).
fof(f8984,plain,
a = complement(join(complement(b),meet(b,complement(a)))),
inference(forward_demodulation,[],[f8936,f5546]) ).
fof(f9044,plain,
complement(a) = join(complement(b),meet(b,complement(a))),
inference(superposition,[],[f5546,f8984]) ).
fof(f9126,plain,
complement(a) = join(complement(b),complement(a)),
inference(superposition,[],[f146,f9044]) ).
fof(f9148,plain,
$false,
inference(forward_subsumption_resolution,[],[f9126,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT222-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n009.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 14:07:15 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 16.42/3.34 % (2067520)Input is clausal, will run a generic CNF schedule.
% 16.42/3.34 % (2067538)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=3685508837:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.42/3.34 % (2067540)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3736271788:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.42/3.34 % (2067539)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3775490330:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.42/3.34 % (2067542)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1742051832:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.42/3.34 % (2067544)dis-21_1_sil=8000:lcm=predicate:random_seed=83354405: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)
% 16.42/3.34 % (2067543)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2496680289:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.42/3.34 % (2067541)lrs+10_1_sil=8000:sp=occurrence:random_seed=1927231856:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.42/3.34 % (2067544)Refutation not found, incomplete strategy
% 16.42/3.34 % (2067544)------------------------------
% 16.42/3.34 % (2067544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.34 % (2067544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.34 % (2067544)CaDiCaL version: 2.1.3
% 16.42/3.34 % (2067544)Termination reason: Refutation not found, incomplete strategy
% 16.42/3.34 % (2067544)Time elapsed: 0.003 s
% 16.42/3.34 % (2067544)Peak memory usage: 88 MB
% 16.42/3.34 % (2067544)Instructions burned: 1 (million)
% 16.42/3.34 % (2067541)Instruction limit reached!
% 16.42/3.34 % (2067541)------------------------------
% 16.42/3.34 % (2067541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.34 % (2067541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.34 % (2067541)CaDiCaL version: 2.1.3
% 16.42/3.34 % (2067541)Termination reason: Instruction limit
% 16.42/3.34 % (2067541)Termination phase: Saturation
% 16.42/3.34 % (2067541)Time elapsed: 0.103 s
% 16.42/3.34 % (2067541)Peak memory usage: 89 MB
% 16.42/3.34 % (2067541)Instructions burned: 107 (million)
% 16.42/3.34 % (2067542)Instruction limit reached!
% 16.42/3.34 % (2067542)------------------------------
% 16.42/3.34 % (2067542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.34 % (2067542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.34 % (2067542)CaDiCaL version: 2.1.3
% 16.42/3.34 % (2067542)Termination reason: Instruction limit
% 16.42/3.34 % (2067542)Termination phase: Saturation
% 16.42/3.34 % (2067542)Time elapsed: 0.111 s
% 16.42/3.34 % (2067542)Peak memory usage: 89 MB
% 16.42/3.34 % (2067542)Instructions burned: 114 (million)
% 16.42/3.34 % (2067543)Instruction limit reached!
% 16.42/3.34 % (2067543)------------------------------
% 16.42/3.34 % (2067543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.34 % (2067543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.34 % (2067543)CaDiCaL version: 2.1.3
% 16.42/3.34 % (2067543)Termination reason: Instruction limit
% 16.42/3.34 % (2067543)Termination phase: Saturation
% 16.42/3.34 % (2067543)Time elapsed: 0.164 s
% 16.42/3.34 % (2067543)Peak memory usage: 90 MB
% 16.42/3.34 % (2067543)Instructions burned: 181 (million)
% 16.42/3.34 % (2067553)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=1224089349:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 16.42/3.34 % (2067553)Instruction limit reached!
% 16.42/3.34 % (2067553)------------------------------
% 16.42/3.34 % (2067553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.34 % (2067553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.34 % (2067553)CaDiCaL version: 2.1.3
% 16.42/3.34 % (2067553)Termination reason: Instruction limit
% 16.42/3.34 % (2067553)Termination phase: Saturation
% 16.42/3.34 % (2067553)Time elapsed: 0.070 s
% 16.42/3.34 % (2067553)Peak memory usage: 90 MB
% 16.42/3.34 % (2067553)Instructions burned: 143 (million)
% 16.42/3.34 % (2067554)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3881522909:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 19.29/3.76 % (2067544)------------------------------
% 19.29/3.76 % (2067544)------------------------------
% 19.29/3.76 % (2067555)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3808796955:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 19.29/3.76 % (2067554)Instruction limit reached!
% 19.29/3.76 % (2067554)------------------------------
% 19.29/3.76 % (2067554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.76 % (2067554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.76 % (2067554)CaDiCaL version: 2.1.3
% 19.29/3.76 % (2067554)Termination reason: Instruction limit
% 19.29/3.76 % (2067554)Termination phase: Saturation
% 19.29/3.76 % (2067554)Time elapsed: 0.192 s
% 19.29/3.76 % (2067554)Peak memory usage: 91 MB
% 19.29/3.76 % (2067554)Instructions burned: 189 (million)
% 19.29/3.76 % (2067558)lrs+10_64_to=lpo:sil=8000:random_seed=2943763360:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 19.29/3.76 % (2067555)Instruction limit reached!
% 19.29/3.76 % (2067555)------------------------------
% 19.29/3.76 % (2067555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.76 % (2067555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.76 % (2067555)CaDiCaL version: 2.1.3
% 19.29/3.76 % (2067555)Termination reason: Instruction limit
% 19.29/3.76 % (2067555)Termination phase: Saturation
% 19.29/3.76 % (2067555)Time elapsed: 0.203 s
% 19.29/3.76 % (2067555)Peak memory usage: 90 MB
% 19.29/3.76 % (2067555)Instructions burned: 219 (million)
% 19.29/3.76 % (2067560)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1332510476:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 19.29/3.76 % (2067558)Instruction limit reached!
% 19.29/3.76 % (2067558)------------------------------
% 19.29/3.76 % (2067558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.76 % (2067558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.76 % (2067558)CaDiCaL version: 2.1.3
% 19.29/3.76 % (2067558)Termination reason: Instruction limit
% 19.29/3.76 % (2067558)Termination phase: Saturation
% 19.29/3.76 % (2067558)Time elapsed: 0.124 s
% 19.29/3.76 % (2067558)Peak memory usage: 88 MB
% 19.29/3.76 % (2067558)Instructions burned: 127 (million)
% 19.29/3.76 % (2067563)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=912301982:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 19.29/3.76 % (2067565)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1115718579:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 19.29/3.76 % (2067560)Instruction limit reached!
% 19.29/3.76 % (2067560)------------------------------
% 19.29/3.76 % (2067560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.76 % (2067560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.76 % (2067560)CaDiCaL version: 2.1.3
% 19.29/3.76 % (2067560)Termination reason: Instruction limit
% 19.29/3.76 % (2067560)Termination phase: Saturation
% 19.29/3.76 % (2067560)Time elapsed: 0.200 s
% 19.29/3.76 % (2067560)Peak memory usage: 90 MB
% 19.29/3.76 % (2067560)Instructions burned: 194 (million)
% 19.29/3.77 % (2067567)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=3730897084:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 19.29/3.77 % (2067563)Instruction limit reached!
% 19.29/3.77 % (2067563)------------------------------
% 19.29/3.77 % (2067563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067563)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067563)Termination reason: Instruction limit
% 19.29/3.77 % (2067563)Termination phase: Saturation
% 19.29/3.77 % (2067563)Time elapsed: 0.161 s
% 19.29/3.77 % (2067563)Peak memory usage: 90 MB
% 19.29/3.77 % (2067563)Instructions burned: 158 (million)
% 19.29/3.77 % (2067567)Instruction limit reached!
% 19.29/3.77 % (2067567)------------------------------
% 19.29/3.77 % (2067567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067567)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067567)Termination reason: Instruction limit
% 19.29/3.77 % (2067567)Termination phase: Saturation
% 19.29/3.77 % (2067567)Time elapsed: 0.113 s
% 19.29/3.77 % (2067567)Peak memory usage: 89 MB
% 19.29/3.77 % (2067567)Instructions burned: 106 (million)
% 19.29/3.77 % (2067570)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=754335969:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 19.29/3.77 % (2067572)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3835252822:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 19.29/3.77 % (2067573)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2989956725:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 19.29/3.77 % (2067570)Instruction limit reached!
% 19.29/3.77 % (2067570)------------------------------
% 19.29/3.77 % (2067570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067570)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067570)Termination reason: Instruction limit
% 19.29/3.77 % (2067570)Termination phase: Saturation
% 19.29/3.77 % (2067570)Time elapsed: 0.107 s
% 19.29/3.77 % (2067570)Peak memory usage: 89 MB
% 19.29/3.77 % (2067570)Instructions burned: 108 (million)
% 19.29/3.77 % (2067572)Instruction limit reached!
% 19.29/3.77 % (2067572)------------------------------
% 19.29/3.77 % (2067572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067572)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067572)Termination reason: Instruction limit
% 19.29/3.77 % (2067572)Termination phase: Saturation
% 19.29/3.77 % (2067572)Time elapsed: 0.229 s
% 19.29/3.77 % (2067572)Peak memory usage: 89 MB
% 19.29/3.77 % (2067572)Instructions burned: 243 (million)
% 19.29/3.77 % (2067577)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2308081822:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 19.29/3.77 % (2067577)Instruction limit reached!
% 19.29/3.77 % (2067577)------------------------------
% 19.29/3.77 % (2067577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067577)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067577)Termination reason: Instruction limit
% 19.29/3.77 % (2067577)Termination phase: Saturation
% 19.29/3.77 % (2067577)Time elapsed: 0.132 s
% 19.29/3.77 % (2067577)Peak memory usage: 90 MB
% 19.29/3.77 % (2067577)Instructions burned: 134 (million)
% 19.29/3.77 % (2067578)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2707801952:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 19.29/3.77 % (2067580)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3091560924:i=191:fgj=on:bd=all_2982 on theBenchmark for (2982ds/191Mi)
% 19.29/3.77 % (2067580)Instruction limit reached!
% 19.29/3.77 % (2067580)------------------------------
% 19.29/3.77 % (2067580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067580)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067580)Termination reason: Instruction limit
% 19.29/3.77 % (2067580)Termination phase: Saturation
% 19.29/3.77 % (2067580)Time elapsed: 0.205 s
% 19.29/3.77 % (2067580)Peak memory usage: 92 MB
% 19.29/3.77 % (2067580)Instructions burned: 191 (million)
% 19.29/3.77 % (2067578)Instruction limit reached!
% 19.29/3.77 % (2067578)------------------------------
% 19.29/3.77 % (2067578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067578)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067578)Termination reason: Instruction limit
% 19.29/3.77 % (2067578)Termination phase: Saturation
% 19.29/3.77 % (2067578)Time elapsed: 0.479 s
% 19.29/3.77 % (2067578)Peak memory usage: 95 MB
% 19.29/3.77 % (2067578)Instructions burned: 499 (million)
% 19.29/3.77 % (2067539)First to succeed.
% 19.29/3.77 % (2067539)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2067520"
% 19.29/3.77 % (2067587)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3230281272:i=264:kws=precedence:fsr=off_2978 on theBenchmark for (2978ds/264Mi)
% 19.29/3.77 % (2067588)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1164282547:cond=on:i=156:bs=on:gtg=exists_all:er=known_2977 on theBenchmark for (2977ds/156Mi)
% 19.29/3.77 % (2067587)Instruction limit reached!
% 19.29/3.77 % (2067587)------------------------------
% 19.29/3.77 % (2067587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067587)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067587)Termination reason: Instruction limit
% 19.29/3.77 % (2067587)Termination phase: Saturation
% 19.29/3.77 % (2067587)Time elapsed: 0.246 s
% 19.29/3.77 % (2067587)Peak memory usage: 92 MB
% 19.29/3.77 % (2067587)Instructions burned: 264 (million)
% 19.29/3.77 % (2067588)Instruction limit reached!
% 19.29/3.77 % (2067588)------------------------------
% 19.29/3.77 % (2067588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/3.77 % (2067588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/3.77 % (2067588)CaDiCaL version: 2.1.3
% 19.29/3.77 % (2067588)Termination reason: Instruction limit
% 19.29/3.77 % (2067588)Termination phase: Saturation
% 19.29/3.77 % (2067588)Time elapsed: 0.154 s
% 19.29/3.77 % (2067588)Peak memory usage: 90 MB
% 19.29/3.77 % (2067588)Instructions burned: 156 (million)
% 19.29/3.77 % (2067539)Refutation found. Thanks to Tanya!
% 19.29/3.77 % SZS status Unsatisfiable for theBenchmark
% 19.29/3.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/4.04 % (2067539)------------------------------
% 0.20/4.04 % (2067539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/4.04 % (2067539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/4.04 % (2067539)CaDiCaL version: 2.1.3
% 0.20/4.04 % (2067539)Termination reason: Refutation
% 0.20/4.04 % (2067539)Time elapsed: 2.078 s
% 0.20/4.04 % (2067539)Peak memory usage: 138 MB
% 0.20/4.04 % (2067539)Instructions burned: 1938 (million)
% 0.20/4.04 % (2067539)------------------------------
% 0.20/4.04 % (2067539)------------------------------
% 0.20/4.04 % (2067520)Success in time 2.722 s
% 0.20/4.04 % Vampire exiting
%------------------------------------------------------------------------------