%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL017+1 : 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 : n003.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 12:33:45 PM UTC 2026
% Result : Theorem 10.55s 3.03s
% Output : Refutation 13.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 83 ( 83 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 152 ( 149 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
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) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f14,conjecture,
! [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : join(complement(composition(X0,X1)),composition(X0,X2)) != join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2)),
inference(definition_unfolding,[],[f18,f23]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f24,f26]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f20,f26]) ).
fof(f36,plain,
join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK2),complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2))))))),
inference(forward_demodulation,[],[f32,f26]) ).
fof(f37,plain,
join(composition(sK0,sK2),complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2))))))) != join(composition(sK0,sK2),complement(composition(sK0,sK1))),
inference(forward_demodulation,[],[f36,f26]) ).
fof(f41,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f31]) ).
fof(f51,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f34,f26]) ).
fof(f69,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f22,f28]) ).
fof(f75,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f41,f29]) ).
fof(f80,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f75,f31]) ).
fof(f87,plain,
one = converse(one),
inference(superposition,[],[f29,f80]) ).
fof(f91,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f80,f87]) ).
fof(f105,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f25,f34]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f120,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f35,f80]) ).
fof(f123,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f120,f91]) ).
fof(f217,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f105,f34]) ).
fof(f219,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f105,f123]) ).
fof(f233,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f219,f34]) ).
fof(f235,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f217,f26]) ).
fof(f245,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f235,f233]) ).
fof(f261,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f245,f105]) ).
fof(f263,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f245,f26]) ).
fof(f265,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f245,f245]) ).
fof(f281,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f261,f25]) ).
fof(f290,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f105,f265]) ).
fof(f302,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f290,f111]) ).
fof(f304,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f302,f281]) ).
fof(f353,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f34,f304]) ).
fof(f357,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f123,f304]) ).
fof(f361,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f26,f304]) ).
fof(f369,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f357,f265]) ).
fof(f373,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f353,f304]) ).
fof(f384,plain,
join(composition(sK0,sK2),complement(composition(sK0,sK1))) != join(composition(sK0,sK2),complement(composition(sK0,complement(join(complement(sK1),sK2))))),
inference(superposition,[],[f37,f369]) ).
fof(f402,plain,
join(composition(sK0,sK2),complement(composition(sK0,sK1))) != join(composition(sK0,sK2),complement(composition(sK0,complement(join(sK2,complement(sK1)))))),
inference(forward_demodulation,[],[f384,f26]) ).
fof(f437,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f51,f373]) ).
fof(f453,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f437,f26]) ).
fof(f478,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f453,f304]) ).
fof(f493,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f478,f26]) ).
fof(f504,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f493,f25]) ).
fof(f514,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f504,f263]) ).
fof(f639,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f514,f361]) ).
fof(f668,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f639,f361]) ).
fof(f1089,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f668,f26]) ).
fof(f2175,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f69,f28]) ).
fof(f2193,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f2175,f21]) ).
fof(f2205,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f2193,f21]) ).
fof(f2213,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f2205,f28]) ).
fof(f2236,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f31,f2213]) ).
fof(f2241,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2236,f31]) ).
fof(f2296,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,X2))) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f514,f2241]) ).
fof(f2299,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1089,f2241]) ).
fof(f4789,plain,
! [X2,X0,X1] : join(composition(X2,X0),complement(composition(X2,join(X0,complement(X1))))) = join(composition(X2,X0),complement(composition(X2,complement(join(X0,X1))))),
inference(superposition,[],[f2296,f514]) ).
fof(f4875,plain,
! [X2,X0,X1] : join(composition(X2,X0),complement(composition(X2,complement(join(X0,X1))))) = join(complement(composition(X2,complement(X1))),composition(X2,X0)),
inference(forward_demodulation,[],[f4789,f2299]) ).
fof(f5444,plain,
join(composition(sK0,sK2),complement(composition(sK0,sK1))) != join(complement(composition(sK0,complement(complement(sK1)))),composition(sK0,sK2)),
inference(superposition,[],[f402,f4875]) ).
fof(f5483,plain,
join(composition(sK0,sK2),complement(composition(sK0,sK1))) != join(composition(sK0,sK2),complement(composition(sK0,complement(complement(sK1))))),
inference(forward_demodulation,[],[f5444,f26]) ).
fof(f5535,plain,
join(composition(sK0,sK2),complement(composition(sK0,sK1))) != join(composition(sK0,sK2),complement(composition(sK0,sK1))),
inference(forward_demodulation,[],[f5483,f369]) ).
fof(f5536,plain,
$false,
inference(trivial_inequality_removal,[],[f5535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.45 % Computer : n003.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Sun Sep 27 22:53:26 UTC 2026
% 0.21/0.45 % CPUTime :
% 0.21/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.51 Running first-order theorem proving
% 0.28/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.55/3.03 % (1012762)Detected formulas, will run a generic FOF schedule.
% 10.55/3.03 % (1012770)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2501749364:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.55/3.03 % (1012770)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012770)------------------------------
% 10.55/3.03 % (1012770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012770)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012770)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012770)Time elapsed: 0.002 s
% 10.55/3.03 % (1012770)Peak memory usage: 88 MB
% 10.55/3.03 % (1012768)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1459429050:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.55/3.03 % (1012767)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=1783784136:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.55/3.03 % (1012771)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1494614028:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.55/3.03 % (1012769)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1555957848:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.55/3.03 % (1012773)dis-21_1_sil=8000:lcm=predicate:random_seed=2561459825:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.55/3.03 % (1012772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3240900210:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.55/3.03 % (1012773)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012773)------------------------------
% 10.55/3.03 % (1012773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012773)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012773)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012773)Time elapsed: 0.003 s
% 10.55/3.03 % (1012773)Peak memory usage: 88 MB
% 10.55/3.03 % (1012773)Instructions burned: 1 (million)
% 10.55/3.03 % (1012771)Instruction limit reached!
% 10.55/3.03 % (1012771)------------------------------
% 10.55/3.03 % (1012771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012771)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012771)Termination reason: Instruction limit
% 10.55/3.03 % (1012771)Termination phase: Saturation
% 10.55/3.03 % (1012771)Time elapsed: 0.104 s
% 10.55/3.03 % (1012771)Peak memory usage: 88 MB
% 10.55/3.03 % (1012771)Instructions burned: 120 (million)
% 10.55/3.03 % (1012770)------------------------------
% 10.55/3.03 % (1012770)------------------------------
% 10.55/3.03 % (1012772)Instruction limit reached!
% 10.55/3.03 % (1012772)------------------------------
% 10.55/3.03 % (1012772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012772)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012772)Termination reason: Instruction limit
% 10.55/3.03 % (1012772)Termination phase: Saturation
% 10.55/3.03 % (1012772)Time elapsed: 0.139 s
% 10.55/3.03 % (1012772)Peak memory usage: 89 MB
% 10.55/3.03 % (1012772)Instructions burned: 139 (million)
% 10.55/3.03 % (1012783)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2722753973:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.55/3.03 % (1012781)lrs+10_1_sil=8000:sp=occurrence:random_seed=2679367730:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.55/3.03 % (1012773)------------------------------
% 10.55/3.03 % (1012773)------------------------------
% 10.55/3.03 % (1012782)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2354356184:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.55/3.03 % (1012783)Instruction limit reached!
% 10.55/3.03 % (1012783)------------------------------
% 10.55/3.03 % (1012783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012783)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012783)Termination reason: Instruction limit
% 10.55/3.03 % (1012783)Termination phase: Saturation
% 10.55/3.03 % (1012783)Time elapsed: 0.178 s
% 10.55/3.03 % (1012783)Peak memory usage: 92 MB
% 10.55/3.03 % (1012783)Instructions burned: 326 (million)
% 10.55/3.03 % (1012782)Instruction limit reached!
% 10.55/3.03 % (1012782)------------------------------
% 10.55/3.03 % (1012782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012782)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012782)Termination reason: Instruction limit
% 10.55/3.03 % (1012782)Termination phase: Saturation
% 10.55/3.03 % (1012782)Time elapsed: 0.158 s
% 10.55/3.03 % (1012782)Peak memory usage: 89 MB
% 10.55/3.03 % (1012782)Instructions burned: 158 (million)
% 10.55/3.03 % (1012781)Instruction limit reached!
% 10.55/3.03 % (1012781)------------------------------
% 10.55/3.03 % (1012781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012781)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012781)Termination reason: Instruction limit
% 10.55/3.03 % (1012781)Termination phase: Saturation
% 10.55/3.03 % (1012781)Time elapsed: 0.287 s
% 10.55/3.03 % (1012781)Peak memory usage: 91 MB
% 10.55/3.03 % (1012781)Instructions burned: 285 (million)
% 10.55/3.03 % (1012787)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2079149366:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 10.55/3.03 % (1012789)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=561361618:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 10.55/3.03 % (1012789)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012789)------------------------------
% 10.55/3.03 % (1012789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012789)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012789)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012789)Time elapsed: 0.003 s
% 10.55/3.03 % (1012789)Peak memory usage: 88 MB
% 10.55/3.03 % (1012789)Instructions burned: 1 (million)
% 10.55/3.03 % (1012790)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3918573424:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 10.55/3.03 % (1012787)Instruction limit reached!
% 10.55/3.03 % (1012787)------------------------------
% 10.55/3.03 % (1012787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012787)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012787)Termination reason: Instruction limit
% 10.55/3.03 % (1012787)Termination phase: Saturation
% 10.55/3.03 % (1012787)Time elapsed: 0.253 s
% 10.55/3.03 % (1012787)Peak memory usage: 92 MB
% 10.55/3.03 % (1012787)Instructions burned: 248 (million)
% 10.55/3.03 % (1012791)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1925399427:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 10.55/3.03 % (1012791)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012791)------------------------------
% 10.55/3.03 % (1012791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012791)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012791)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012791)Time elapsed: 0.003 s
% 10.55/3.03 % (1012791)Peak memory usage: 88 MB
% 10.55/3.03 % (1012791)Instructions burned: 1 (million)
% 10.55/3.03 % (1012769)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012769)------------------------------
% 10.55/3.03 % (1012769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012769)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012769)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012769)Time elapsed: 1.002 s
% 10.55/3.03 % (1012769)Peak memory usage: 128 MB
% 10.55/3.03 % (1012769)Instructions burned: 896 (million)
% 10.55/3.03 % (1012768)First to succeed.
% 10.55/3.03 % (1012768)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1012762"
% 10.55/3.03 % (1012789)------------------------------
% 10.55/3.03 % (1012789)------------------------------
% 10.55/3.03 % (1012795)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4057281865:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 10.55/3.03 % (1012795)Refutation not found, incomplete strategy
% 10.55/3.03 % (1012795)------------------------------
% 10.55/3.03 % (1012795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.55/3.03 % (1012795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/3.03 % (1012795)CaDiCaL version: 2.1.3
% 10.55/3.03 % (1012795)Termination reason: Refutation not found, incomplete strategy
% 10.55/3.03 % (1012795)Time elapsed: 0.002 s
% 10.55/3.03 % (1012795)Peak memory usage: 87 MB
% 10.55/3.03 % (1012791)------------------------------
% 10.55/3.03 % (1012791)------------------------------
% 10.55/3.03 % (1012769)------------------------------
% 10.55/3.03 % (1012769)------------------------------
% 10.55/3.03 % (1012768)Refutation found. Thanks to Tanya!
% 10.55/3.03 % SZS status Theorem for theBenchmark
% 10.55/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 13.43/3.43 % (1012768)------------------------------
% 13.43/3.43 % (1012768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/3.43 % (1012768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/3.43 % (1012768)CaDiCaL version: 2.1.3
% 13.43/3.43 % (1012768)Termination reason: Refutation
% 13.43/3.43 % (1012768)Time elapsed: 1.218 s
% 13.43/3.43 % (1012768)Peak memory usage: 132 MB
% 13.43/3.43 % (1012768)Instructions burned: 1373 (million)
% 13.43/3.43 % (1012768)------------------------------
% 13.43/3.43 % (1012768)------------------------------
% 13.43/3.43 % (1012762)Success in time 1.746 s
% 13.43/3.43 % Vampire exiting
%------------------------------------------------------------------------------