%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL026-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:33:52 PM UTC 2026
% Result : Unsatisfiable 7.90s 2.45s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 25
% Syntax : Number of formulae : 119 ( 106 unt; 11 def)
% Number of atoms : 132 ( 113 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f23,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
one = join(sk1,one),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( join(composition(sk1,sk2),meet(composition(sk1,top),sk2)) != meet(composition(sk1,top),sk2)
| join(meet(composition(sk1,top),sk2),composition(sk1,sk2)) != composition(sk1,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
( meet(composition(sk1,top),sk2) != join(composition(sk1,sk2),meet(composition(sk1,top),sk2))
| composition(sk1,sk2) != join(meet(composition(sk1,top),sk2),composition(sk1,sk2)) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,plain,
( complement(join(complement(composition(sk1,top)),complement(sk2))) != join(composition(sk1,sk2),complement(join(complement(composition(sk1,top)),complement(sk2))))
| composition(sk1,sk2) != join(complement(join(complement(composition(sk1,top)),complement(sk2))),composition(sk1,sk2)) ),
inference(definition_unfolding,[],[f26,f6,f6,f6]) ).
fof(f32,definition,
sF0 = join(sk1,one),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
join(sk1,one) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
one = sF0,
inference(definition_folding,[],[f24,f33]) ).
fof(f35,definition,
sF1 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
composition(sk1,top) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(sk2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
composition(sk1,sk2) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = join(sF6,sF5),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
join(sF6,sF5) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = join(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
join(sF5,sF6) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,plain,
( sF5 != sF7
| sF6 != sF8 ),
inference(definition_folding,[],[f31,f50,f46,f44,f42,f40,f38,f36,f46,f48,f44,f42,f40,f38,f36,f46,f44,f42,f40,f38,f36]) ).
fof(f53,definition,
( spl9_1
<=> sF6 = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f55,plain,
( sF6 != sF8
| spl9_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl9_2
<=> sF5 = sF7 ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f59,plain,
( sF5 != sF7
| spl9_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f51,f57,f53]) ).
fof(f61,plain,
one = join(sk1,one),
inference(forward_demodulation,[],[f33,f34]) ).
fof(f78,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f82,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f106,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f111,plain,
one = join(one,sk1),
inference(superposition,[],[f61,f1]) ).
fof(f112,plain,
sF7 = join(sF5,sF6),
inference(superposition,[],[f48,f1]) ).
fof(f113,plain,
sF7 = sF8,
inference(forward_demodulation,[],[f112,f50]) ).
fof(f125,plain,
( sF6 != sF7
| spl9_1 ),
inference(superposition,[],[f55,f113]) ).
fof(f131,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f82,f12]) ).
fof(f140,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f131,f11]) ).
fof(f143,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f140,f11]) ).
fof(f145,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f143,f12]) ).
fof(f173,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f145]) ).
fof(f184,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f173,f10]) ).
fof(f325,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f344,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f645,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f78,f8]) ).
fof(f659,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f645,f10]) ).
fof(f673,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f9,f659]) ).
fof(f681,plain,
one = converse(one),
inference(superposition,[],[f8,f659]) ).
fof(f691,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f673,f681]) ).
fof(f749,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f659,f681]) ).
fof(f766,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f14,f749]) ).
fof(f781,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f766,f659]) ).
fof(f799,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f325,f781]) ).
fof(f806,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f799,f4]) ).
fof(f828,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f806,f806]) ).
fof(f831,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f806,f27]) ).
fof(f835,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f344,f806]) ).
fof(f881,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f831]) ).
fof(f1024,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f325,f828]) ).
fof(f1047,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f1024,f27]) ).
fof(f1052,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1047,f881]) ).
fof(f1096,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f831,f1052]) ).
fof(f1099,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1096,f831]) ).
fof(f1125,plain,
sk2 = complement(sF3),
inference(superposition,[],[f1099,f40]) ).
fof(f1136,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f106,f1099]) ).
fof(f1547,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f1136,f1]) ).
fof(f1598,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f4,f1136]) ).
fof(f1619,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1598,f1052]) ).
fof(f1676,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1619,f835]) ).
fof(f1728,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1676,f1]) ).
fof(f6287,plain,
! [X0] : composition(one,X0) = join(X0,composition(sk1,X0)),
inference(superposition,[],[f691,f111]) ).
fof(f6305,plain,
! [X0] : join(X0,composition(sk1,X0)) = X0,
inference(forward_demodulation,[],[f6287,f749]) ).
fof(f6408,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sk1,X0),X1)),
inference(superposition,[],[f344,f6305]) ).
fof(f6427,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sk1,complement(X0))))),
inference(superposition,[],[f1547,f6305]) ).
fof(f6450,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(X0,complement(join(X0,composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f6427,f1052]) ).
fof(f6475,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,complement(X0))),X0),
inference(forward_demodulation,[],[f6450,f1676]) ).
fof(f7115,plain,
! [X0,X1] : join(composition(sk1,X1),X0) = join(X0,composition(sk1,join(X0,X1))),
inference(superposition,[],[f6408,f184]) ).
fof(f7273,plain,
! [X0] : join(composition(sk1,complement(X0)),X0) = join(X0,composition(sk1,top)),
inference(superposition,[],[f7115,f15]) ).
fof(f7459,plain,
! [X0] : join(X0,sF1) = join(composition(sk1,complement(X0)),X0),
inference(forward_demodulation,[],[f7273,f36]) ).
fof(f7532,plain,
! [X0] : join(complement(composition(sk1,complement(X0))),X0) = join(X0,complement(join(X0,sF1))),
inference(superposition,[],[f1728,f7459]) ).
fof(f7567,plain,
! [X0] : join(complement(sF1),X0) = join(complement(composition(sk1,complement(X0))),X0),
inference(forward_demodulation,[],[f7532,f1676]) ).
fof(f7604,plain,
! [X0] : join(complement(sF1),X0) = complement(composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f7567,f6475]) ).
fof(f7624,plain,
! [X0] : join(sF2,X0) = complement(composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f7604,f38]) ).
fof(f7645,plain,
join(sF2,sF3) = complement(composition(sk1,sk2)),
inference(superposition,[],[f7624,f1125]) ).
fof(f7718,plain,
join(sF2,sF3) = complement(sF6),
inference(forward_demodulation,[],[f7645,f46]) ).
fof(f7741,plain,
sF4 = complement(sF6),
inference(forward_demodulation,[],[f7718,f42]) ).
fof(f7774,plain,
sF6 = join(sF6,complement(sF4)),
inference(superposition,[],[f828,f7741]) ).
fof(f7778,plain,
complement(sF4) = sF6,
inference(superposition,[],[f1099,f7741]) ).
fof(f7794,plain,
sF5 = sF6,
inference(forward_demodulation,[],[f7778,f44]) ).
fof(f7797,plain,
sF6 = join(sF6,sF5),
inference(forward_demodulation,[],[f7774,f44]) ).
fof(f7812,plain,
sF6 = sF7,
inference(forward_demodulation,[],[f7797,f48]) ).
fof(f7821,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f7812,f125]) ).
fof(f7822,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f7821]) ).
fof(f7826,plain,
sF5 = sF7,
inference(forward_demodulation,[],[f7812,f7794]) ).
fof(f7828,plain,
( $false
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f7826,f59]) ).
fof(f7829,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f7828]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
spl9_1,
inference(sat_conversion,[],[f7822]) ).
cnf(s3,plain,
spl9_2,
inference(sat_conversion,[],[f7829]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f7832,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL026-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n017.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 22:48:35 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 7.90/2.45 % (3039998)Input is clausal, will run a generic CNF schedule.
% 7.90/2.45 % (3040003)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=3809697975:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.90/2.45 % (3040005)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1701073436:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.90/2.45 % (3040004)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3458323468:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.90/2.45 % (3040006)lrs+10_1_sil=8000:sp=occurrence:random_seed=1467199792:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.90/2.45 % (3040007)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3278417359:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.90/2.45 % (3040008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1485933799:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.90/2.45 % (3040009)dis-21_1_sil=8000:lcm=predicate:random_seed=2508634756: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)
% 7.90/2.45 % (3040009)Refutation not found, incomplete strategy
% 7.90/2.45 % (3040009)------------------------------
% 7.90/2.45 % (3040009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040009)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040009)Termination reason: Refutation not found, incomplete strategy
% 7.90/2.45 % (3040009)Time elapsed: 0.003 s
% 7.90/2.45 % (3040009)Peak memory usage: 88 MB
% 7.90/2.45 % (3040009)Instructions burned: 1 (million)
% 7.90/2.45 % (3040006)Instruction limit reached!
% 7.90/2.45 % (3040006)------------------------------
% 7.90/2.45 % (3040006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040006)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040006)Termination reason: Instruction limit
% 7.90/2.45 % (3040006)Termination phase: Saturation
% 7.90/2.45 % (3040006)Time elapsed: 0.111 s
% 7.90/2.45 % (3040006)Peak memory usage: 89 MB
% 7.90/2.45 % (3040006)Instructions burned: 108 (million)
% 7.90/2.45 % (3040007)Instruction limit reached!
% 7.90/2.45 % (3040007)------------------------------
% 7.90/2.45 % (3040007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040007)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040007)Termination reason: Instruction limit
% 7.90/2.45 % (3040007)Termination phase: Saturation
% 7.90/2.45 % (3040007)Time elapsed: 0.116 s
% 7.90/2.45 % (3040007)Peak memory usage: 89 MB
% 7.90/2.45 % (3040007)Instructions burned: 114 (million)
% 7.90/2.45 % (3040008)Instruction limit reached!
% 7.90/2.45 % (3040008)------------------------------
% 7.90/2.45 % (3040008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040008)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040008)Termination reason: Instruction limit
% 7.90/2.45 % (3040008)Termination phase: Saturation
% 7.90/2.45 % (3040008)Time elapsed: 0.179 s
% 7.90/2.45 % (3040008)Peak memory usage: 90 MB
% 7.90/2.45 % (3040008)Instructions burned: 180 (million)
% 7.90/2.45 % (3040018)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=209254235:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 7.90/2.45 % (3040009)------------------------------
% 7.90/2.45 % (3040009)------------------------------
% 7.90/2.45 % (3040017)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=77910949:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 7.90/2.45 % (3040019)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2912438873:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 7.90/2.45 % (3040017)Instruction limit reached!
% 7.90/2.45 % (3040017)------------------------------
% 7.90/2.45 % (3040017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040017)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040017)Termination reason: Instruction limit
% 7.90/2.45 % (3040017)Termination phase: Saturation
% 7.90/2.45 % (3040017)Time elapsed: 0.094 s
% 7.90/2.45 % (3040017)Peak memory usage: 89 MB
% 7.90/2.45 % (3040017)Instructions burned: 144 (million)
% 7.90/2.45 % (3040018)Instruction limit reached!
% 7.90/2.45 % (3040018)------------------------------
% 7.90/2.45 % (3040018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040018)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040018)Termination reason: Instruction limit
% 7.90/2.45 % (3040018)Termination phase: Saturation
% 7.90/2.45 % (3040018)Time elapsed: 0.114 s
% 7.90/2.45 % (3040018)Peak memory usage: 92 MB
% 7.90/2.45 % (3040018)Instructions burned: 191 (million)
% 7.90/2.45 % (3040022)lrs+10_64_to=lpo:sil=8000:random_seed=1860486931:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 7.90/2.45 % (3040019)Instruction limit reached!
% 7.90/2.45 % (3040019)------------------------------
% 7.90/2.45 % (3040019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040019)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040019)Termination reason: Instruction limit
% 7.90/2.45 % (3040019)Termination phase: Saturation
% 7.90/2.45 % (3040019)Time elapsed: 0.134 s
% 7.90/2.45 % (3040019)Peak memory usage: 91 MB
% 7.90/2.45 % (3040019)Instructions burned: 220 (million)
% 7.90/2.45 % (3040022)Instruction limit reached!
% 7.90/2.45 % (3040022)------------------------------
% 7.90/2.45 % (3040022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040022)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040022)Termination reason: Instruction limit
% 7.90/2.45 % (3040022)Termination phase: Saturation
% 7.90/2.45 % (3040022)Time elapsed: 0.079 s
% 7.90/2.45 % (3040022)Peak memory usage: 89 MB
% 7.90/2.45 % (3040022)Instructions burned: 126 (million)
% 7.90/2.45 % (3040025)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1978240737:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 7.90/2.45 % (3040024)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3901168827:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 7.90/2.45 % (3040046)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4231087783:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 7.90/2.45 % (3040003)First to succeed.
% 7.90/2.45 % (3040003)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3039998"
% 7.90/2.45 % (3040025)Instruction limit reached!
% 7.90/2.45 % (3040025)------------------------------
% 7.90/2.45 % (3040025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040025)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040025)Termination reason: Instruction limit
% 7.90/2.45 % (3040025)Termination phase: Saturation
% 7.90/2.45 % (3040025)Time elapsed: 0.096 s
% 7.90/2.45 % (3040025)Peak memory usage: 90 MB
% 7.90/2.45 % (3040025)Instructions burned: 157 (million)
% 7.90/2.45 % (3040024)Instruction limit reached!
% 7.90/2.45 % (3040024)------------------------------
% 7.90/2.45 % (3040024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040024)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040024)Termination reason: Instruction limit
% 7.90/2.45 % (3040024)Termination phase: Saturation
% 7.90/2.45 % (3040024)Time elapsed: 0.123 s
% 7.90/2.45 % (3040024)Peak memory usage: 90 MB
% 7.90/2.45 % (3040024)Instructions burned: 194 (million)
% 7.90/2.45 % (3040076)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=1974314462:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 7.90/2.45 % (3040076)Instruction limit reached!
% 7.90/2.45 % (3040076)------------------------------
% 7.90/2.45 % (3040076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.90/2.45 % (3040076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/2.45 % (3040076)CaDiCaL version: 2.1.3
% 7.90/2.45 % (3040076)Termination reason: Instruction limit
% 7.90/2.45 % (3040076)Termination phase: Saturation
% 7.90/2.45 % (3040076)Time elapsed: 0.063 s
% 7.90/2.45 % (3040076)Peak memory usage: 89 MB
% 7.90/2.45 % (3040076)Instructions burned: 107 (million)
% 7.90/2.45 % (3040121)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3342313264:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 7.90/2.45 % (3040003)Refutation found. Thanks to Tanya!
% 7.90/2.45 % SZS status Unsatisfiable for theBenchmark
% 7.90/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/2.65 % (3040003)------------------------------
% 9.05/2.65 % (3040003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.65 % (3040003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.65 % (3040003)CaDiCaL version: 2.1.3
% 9.05/2.65 % (3040003)Termination reason: Refutation
% 9.05/2.65 % (3040003)Time elapsed: 0.762 s
% 9.05/2.65 % (3040003)Peak memory usage: 138 MB
% 9.05/2.65 % (3040003)Instructions burned: 1756 (million)
% 9.05/2.65 % (3040003)------------------------------
% 9.05/2.65 % (3040003)------------------------------
% 9.05/2.65 % (3039998)Success in time 1.14 s
% 9.05/2.65 % Vampire exiting
%------------------------------------------------------------------------------