%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL005+3 : 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 : n015.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 12:33:38 PM UTC 2026
% Result : Theorem 8.15s 7.11s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 11
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 156 ( 154 !; 2 ?)
% 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(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(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f17,conjecture,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
fof(f21,plain,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f26,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f37,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))),
inference(definition_unfolding,[],[f21,f26,f26]) ).
fof(f43,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f27,f32]) ).
fof(f51,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f30]) ).
fof(f52,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f30]) ).
fof(f98,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f32,f37]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f31,f37]) ).
fof(f121,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f32,f31]) ).
fof(f123,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f116,f121]) ).
fof(f195,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f28,f30]) ).
fof(f203,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f195,f34]) ).
fof(f213,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f203,f30]) ).
fof(f221,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f31,f36]) ).
fof(f229,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f52,f36]) ).
fof(f301,plain,
one = converse(one),
inference(superposition,[],[f34,f213]) ).
fof(f302,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f213,f301]) ).
fof(f326,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f43,f213]) ).
fof(f334,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f326,f302]) ).
fof(f350,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,[],[f123,f334]) ).
fof(f352,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f350,f98]) ).
fof(f388,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f123,f352]) ).
fof(f407,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f388,f32]) ).
fof(f444,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f407,f32]) ).
fof(f445,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(top,X0))),
inference(superposition,[],[f407,f221]) ).
fof(f449,plain,
! [X0] : join(X0,X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f407,f229]) ).
fof(f453,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f352,f407]) ).
fof(f459,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f37,f407]) ).
fof(f470,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f459,f221]) ).
fof(f477,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(forward_demodulation,[],[f449,f453]) ).
fof(f480,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(forward_demodulation,[],[f445,f453]) ).
fof(f481,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f444,f453]) ).
fof(f494,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f470,f334]) ).
fof(f507,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f494,f480]) ).
fof(f532,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f407,f507]) ).
fof(f533,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f532,f334]) ).
fof(f539,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f481,f507]) ).
fof(f543,plain,
! [X0,X1] : join(X1,complement(X0)) = join(join(X1,complement(X0)),complement(X0)),
inference(superposition,[],[f481,f481]) ).
fof(f552,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f123,f481]) ).
fof(f575,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f552,f32]) ).
fof(f578,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(X1,complement(X0))),
inference(forward_demodulation,[],[f543,f32]) ).
fof(f641,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f575,f507]) ).
fof(f743,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(converse(complement(converse(X0))),complement(converse(top))),
inference(superposition,[],[f641,f229]) ).
fof(f798,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f743,f477]) ).
fof(f973,plain,
! [X0] : converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(superposition,[],[f798,f30]) ).
fof(f981,plain,
! [X0] : join(converse(complement(X0)),complement(converse(X0))) = converse(converse(complement(converse(X0)))),
inference(superposition,[],[f51,f798]) ).
fof(f986,plain,
! [X0] : complement(converse(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[],[f981,f30]) ).
fof(f993,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[],[f986,f32]) ).
fof(f1041,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f973,f993]) ).
fof(f1091,plain,
! [X0,X1] : join(converse(X1),complement(X0)) = converse(join(X1,complement(converse(X0)))),
inference(superposition,[],[f51,f1041]) ).
fof(f1092,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(superposition,[],[f52,f1041]) ).
fof(f2053,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f481,f533]) ).
fof(f2063,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f2053,f32]) ).
fof(f2086,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f2063,f121]) ).
fof(f2098,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f2086,f507]) ).
fof(f2290,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X1,X0)),complement(join(X0,X1))),
inference(superposition,[],[f539,f2098]) ).
fof(f2303,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(join(X1,complement(converse(X0))))),
inference(superposition,[],[f1092,f2098]) ).
fof(f2308,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),join(converse(X1),complement(X0))),
inference(forward_demodulation,[],[f2303,f1091]) ).
fof(f2340,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(converse(X1),complement(X0)),
inference(forward_demodulation,[],[f2308,f578]) ).
fof(f2582,plain,
! [X0,X1] : converse(join(complement(X0),X1)) = join(converse(X1),complement(converse(X0))),
inference(superposition,[],[f2340,f30]) ).
fof(f2629,plain,
! [X0,X1] : converse(complement(join(complement(converse(X1)),X0))) = join(complement(join(converse(X0),complement(X1))),converse(complement(join(complement(converse(X1)),X0)))),
inference(superposition,[],[f973,f2340]) ).
fof(f2636,plain,
! [X0,X1] : complement(converse(join(complement(converse(X1)),X0))) = join(complement(join(converse(X0),complement(X1))),complement(converse(join(complement(converse(X1)),X0)))),
inference(forward_demodulation,[],[f2629,f1041]) ).
fof(f2683,plain,
! [X0,X1] : complement(join(complement(X1),converse(X0))) = join(complement(join(converse(X0),complement(X1))),complement(join(complement(X1),converse(X0)))),
inference(forward_demodulation,[],[f2636,f1092]) ).
fof(f2724,plain,
! [X0,X1] : complement(join(complement(X1),converse(X0))) = complement(join(converse(X0),complement(X1))),
inference(forward_demodulation,[],[f2683,f2290]) ).
fof(f2823,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(X1))),
inference(superposition,[],[f2724,f30]) ).
fof(f3100,plain,
! [X0,X1] : complement(converse(join(X1,complement(X0)))) = converse(complement(join(complement(X0),X1))),
inference(superposition,[],[f1041,f2823]) ).
fof(f3102,plain,
! [X0,X1] : complement(converse(join(X1,complement(X0)))) = complement(converse(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3100,f1041]) ).
fof(f3189,plain,
! [X0,X1] : converse(join(complement(X1),complement(X0))) = join(complement(converse(X0)),complement(converse(X1))),
inference(superposition,[],[f2582,f1041]) ).
fof(f3521,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK1),complement(sK0)))),
inference(superposition,[],[f38,f3189]) ).
fof(f3585,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK0),complement(sK1)))),
inference(forward_demodulation,[],[f3521,f3102]) ).
fof(f3621,plain,
$false,
inference(forward_subsumption_resolution,[],[f3585,f1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.40 % Computer : n015.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Sun Sep 27 22:53:22 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.43 Running first-order theorem proving
% 0.12/5.43 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
% 8.15/7.11 % (2099130)Detected formulas, will run a generic FOF schedule.
% 8.15/7.11 % (2099140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3992082945:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.15/7.11 % (2099138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2542104209:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.15/7.11 % (2099135)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=827415138:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.15/7.11 % (2099137)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=21419767:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.15/7.11 % (2099139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2245053062:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.15/7.11 % (2099136)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=2639400490:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.15/7.11 % (2099138)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099138)------------------------------
% 8.15/7.11 % (2099138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099138)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099138)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099138)Time elapsed: 0.001 s
% 8.15/7.11 % (2099138)Peak memory usage: 88 MB
% 8.15/7.11 % (2099140)Instruction limit reached!
% 8.15/7.11 % (2099140)------------------------------
% 8.15/7.11 % (2099140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099140)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099140)Termination reason: Instruction limit
% 8.15/7.11 % (2099140)Termination phase: Saturation
% 8.15/7.11 % (2099140)Time elapsed: 0.046 s
% 8.15/7.11 % (2099140)Peak memory usage: 90 MB
% 8.15/7.11 % (2099140)Instructions burned: 140 (million)
% 8.15/7.11 % (2099141)dis-21_1_sil=8000:lcm=predicate:random_seed=472399897: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)
% 8.15/7.11 % (2099141)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099141)------------------------------
% 8.15/7.11 % (2099141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099141)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099141)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099141)Time elapsed: 0.002 s
% 8.15/7.11 % (2099141)Peak memory usage: 88 MB
% 8.15/7.11 % (2099141)Instructions burned: 1 (million)
% 8.15/7.11 % (2099139)Instruction limit reached!
% 8.15/7.11 % (2099139)------------------------------
% 8.15/7.11 % (2099139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099139)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099139)Termination reason: Instruction limit
% 8.15/7.11 % (2099139)Termination phase: Saturation
% 8.15/7.11 % (2099139)Time elapsed: 0.065 s
% 8.15/7.11 % (2099139)Peak memory usage: 88 MB
% 8.15/7.11 % (2099139)Instructions burned: 119 (million)
% 8.15/7.11 % (2099149)lrs+10_1_sil=8000:sp=occurrence:random_seed=3093247995:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.15/7.11 % (2099149)Instruction limit reached!
% 8.15/7.11 % (2099149)------------------------------
% 8.15/7.11 % (2099149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099149)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099149)Termination reason: Instruction limit
% 8.15/7.11 % (2099149)Termination phase: Saturation
% 8.15/7.11 % (2099149)Time elapsed: 0.092 s
% 8.15/7.11 % (2099149)Peak memory usage: 91 MB
% 8.15/7.11 % (2099149)Instructions burned: 287 (million)
% 8.15/7.11 % (2099150)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2078758642:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.15/7.11 % (2099138)------------------------------
% 8.15/7.11 % (2099138)------------------------------
% 8.15/7.11 % (2099141)------------------------------
% 8.15/7.11 % (2099141)------------------------------
% 8.15/7.11 % (2099150)Instruction limit reached!
% 8.15/7.11 % (2099150)------------------------------
% 8.15/7.11 % (2099150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099150)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099150)Termination reason: Instruction limit
% 8.15/7.11 % (2099150)Termination phase: Saturation
% 8.15/7.11 % (2099150)Time elapsed: 0.094 s
% 8.15/7.11 % (2099150)Peak memory usage: 91 MB
% 8.15/7.11 % (2099150)Instructions burned: 158 (million)
% 8.15/7.11 % (2099152)lrs+1011_1_sil=32000:sp=occurrence:random_seed=331239033:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.15/7.11 % (2099154)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=1602631429:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.15/7.11 % (2099155)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1178725363:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.15/7.11 % (2099155)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099155)------------------------------
% 8.15/7.11 % (2099155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099155)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099155)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099155)Time elapsed: 0.002 s
% 8.15/7.11 % (2099155)Peak memory usage: 88 MB
% 8.15/7.11 % (2099155)Instructions burned: 1 (million)
% 8.15/7.11 % (2099152)Instruction limit reached!
% 8.15/7.11 % (2099152)------------------------------
% 8.15/7.11 % (2099152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099152)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099152)Termination reason: Instruction limit
% 8.15/7.11 % (2099152)Termination phase: Saturation
% 8.15/7.11 % (2099152)Time elapsed: 0.105 s
% 8.15/7.11 % (2099152)Peak memory usage: 92 MB
% 8.15/7.11 % (2099152)Instructions burned: 328 (million)
% 8.15/7.11 % (2099156)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2811042807:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.15/7.11 % (2099154)Instruction limit reached!
% 8.15/7.11 % (2099154)------------------------------
% 8.15/7.11 % (2099154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099154)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099154)Termination reason: Instruction limit
% 8.15/7.11 % (2099154)Termination phase: Saturation
% 8.15/7.11 % (2099154)Time elapsed: 0.157 s
% 8.15/7.11 % (2099154)Peak memory usage: 92 MB
% 8.15/7.11 % (2099154)Instructions burned: 248 (million)
% 8.15/7.11 % (2099160)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=863990376:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.15/7.11 % (2099160)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099160)------------------------------
% 8.15/7.11 % (2099160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099160)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099160)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099160)Time elapsed: 0.001 s
% 8.15/7.11 % (2099160)Peak memory usage: 88 MB
% 8.15/7.11 % (2099137)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099137)------------------------------
% 8.15/7.11 % (2099137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099137)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099137)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099137)Time elapsed: 0.594 s
% 8.15/7.11 % (2099137)Peak memory usage: 126 MB
% 8.15/7.11 % (2099137)Instructions burned: 888 (million)
% 8.15/7.11 % (2099155)------------------------------
% 8.15/7.11 % (2099155)------------------------------
% 8.15/7.11 % (2099160)------------------------------
% 8.15/7.11 % (2099160)------------------------------
% 8.15/7.11 % (2099162)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4038320101:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.15/7.11 % (2099162)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099162)------------------------------
% 8.15/7.11 % (2099162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099162)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099162)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099162)Time elapsed: 0.001 s
% 8.15/7.11 % (2099162)Peak memory usage: 87 MB
% 8.15/7.11 % (2099162)Instructions burned: 1 (million)
% 8.15/7.11 % (2099136)First to succeed.
% 8.15/7.11 % (2099136)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2099130"
% 8.15/7.11 % (2099137)------------------------------
% 8.15/7.11 % (2099137)------------------------------
% 8.15/7.11 % (2099164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1453539457:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.15/7.11 % (2099165)lrs+10_1_sil=8000:sp=occurrence:random_seed=969043592:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.15/7.11 % (2099164)Instruction limit reached!
% 8.15/7.11 % (2099164)------------------------------
% 8.15/7.11 % (2099164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099164)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099164)Termination reason: Instruction limit
% 8.15/7.11 % (2099164)Termination phase: Saturation
% 8.15/7.11 % (2099164)Time elapsed: 0.067 s
% 8.15/7.11 % (2099164)Peak memory usage: 89 MB
% 8.15/7.11 % (2099164)Instructions burned: 116 (million)
% 8.15/7.11 % (2099162)------------------------------
% 8.15/7.11 % (2099162)------------------------------
% 8.15/7.11 % (2099168)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=171803407:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.15/7.11 % (2099168)Refutation not found, incomplete strategy
% 8.15/7.11 % (2099168)------------------------------
% 8.15/7.11 % (2099168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/7.11 % (2099168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/7.11 % (2099168)CaDiCaL version: 2.1.3
% 8.15/7.11 % (2099168)Termination reason: Refutation not found, incomplete strategy
% 8.15/7.11 % (2099168)Time elapsed: 0.001 s
% 8.15/7.11 % (2099168)Peak memory usage: 88 MB
% 8.15/7.11 % (2099136)Refutation found. Thanks to Tanya!
% 8.15/7.11 % SZS status Theorem for theBenchmark
% 8.15/7.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/7.30 % (2099136)------------------------------
% 0.17/7.30 % (2099136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/7.30 % (2099136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/7.30 % (2099136)CaDiCaL version: 2.1.3
% 0.17/7.30 % (2099136)Termination reason: Refutation
% 0.17/7.30 % (2099136)Time elapsed: 0.797 s
% 0.17/7.30 % (2099136)Peak memory usage: 129 MB
% 0.17/7.30 % (2099136)Instructions burned: 1196 (million)
% 0.17/7.30 % (2099136)------------------------------
% 0.17/7.30 % (2099136)------------------------------
% 0.17/7.30 % (2099130)Success in time 1.233 s
% 0.17/7.30 % Vampire exiting
%------------------------------------------------------------------------------