%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:34:18 PM UTC 2026
% Result : Theorem 33.05s 5.19s
% Output : Refutation 33.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 13
% Syntax : Number of formulae : 172 ( 168 unt; 0 def)
% Number of atoms : 176 ( 175 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 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 : 142 ( 141 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( complement(X0) != composition(complement(X0),top)
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( complement(sK0) != composition(complement(sK0),top)
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
complement(sK0) != composition(complement(sK0),top),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
zero = complement(top),
inference(forward_demodulation,[],[f33,f29]) ).
fof(f35,plain,
top = join(top,zero),
inference(superposition,[],[f29,f34]) ).
fof(f36,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f43,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f47,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f36,f29]) ).
fof(f48,plain,
! [X0,X1] : join(X1,converse(X0)) = converse(join(X0,converse(X1))),
inference(superposition,[],[f36,f18]) ).
fof(f199,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f43,f23]) ).
fof(f215,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f199,f25]) ).
fof(f220,plain,
one = converse(one),
inference(superposition,[],[f215,f23]) ).
fof(f227,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f215,f220]) ).
fof(f431,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f432,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f19,f18]) ).
fof(f439,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f19,f35]) ).
fof(f440,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f19,f29]) ).
fof(f441,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f19,f18]) ).
fof(f456,plain,
! [X0] : join(top,X0) = join(top,join(X0,zero)),
inference(superposition,[],[f439,f18]) ).
fof(f471,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f431,f18]) ).
fof(f474,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f431,f29]) ).
fof(f547,plain,
! [X0] : join(top,top) = join(complement(X0),join(X0,top)),
inference(superposition,[],[f471,f474]) ).
fof(f757,plain,
! [X0] : join(top,top) = join(complement(X0),join(top,X0)),
inference(superposition,[],[f547,f18]) ).
fof(f1015,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f432,f29]) ).
fof(f1029,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f432,f35]) ).
fof(f1135,plain,
converse(top) = join(zero,converse(top)),
inference(superposition,[],[f1029,f47]) ).
fof(f1171,plain,
converse(converse(top)) = join(top,converse(zero)),
inference(superposition,[],[f48,f1135]) ).
fof(f1180,plain,
top = join(top,converse(zero)),
inference(forward_demodulation,[],[f1171,f25]) ).
fof(f1185,plain,
join(top,top) = join(complement(converse(zero)),top),
inference(superposition,[],[f757,f1180]) ).
fof(f1195,plain,
join(top,top) = join(top,complement(converse(zero))),
inference(forward_demodulation,[],[f1185,f18]) ).
fof(f1235,plain,
! [X0,X1] : join(top,X0) = join(complement(X1),join(X0,X1)),
inference(superposition,[],[f1015,f18]) ).
fof(f1269,plain,
join(top,converse(top)) = join(complement(zero),converse(top)),
inference(superposition,[],[f1015,f1135]) ).
fof(f1731,plain,
! [X0,X1] : join(X1,join(complement(X1),X0)) = join(X0,top),
inference(superposition,[],[f441,f29]) ).
fof(f2273,plain,
! [X0,X1] : join(X1,join(X0,complement(X1))) = join(X0,top),
inference(superposition,[],[f1731,f18]) ).
fof(f4644,plain,
! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
inference(superposition,[],[f24,f31]) ).
fof(f4651,plain,
! [X0] : composition(join(X0,sK0),top) = join(composition(X0,top),sK0),
inference(superposition,[],[f24,f31]) ).
fof(f4680,plain,
! [X0] : join(sK0,composition(X0,top)) = composition(join(X0,sK0),top),
inference(forward_demodulation,[],[f4651,f18]) ).
fof(f4690,plain,
! [X0] : join(sK0,composition(join(complement(sK0),X0),top)) = composition(join(top,X0),top),
inference(superposition,[],[f4644,f431]) ).
fof(f4693,plain,
! [X0] : composition(join(X0,top),top) = join(sK0,composition(join(X0,complement(sK0)),top)),
inference(superposition,[],[f4644,f2273]) ).
fof(f4704,plain,
composition(top,top) = join(sK0,composition(complement(sK0),top)),
inference(superposition,[],[f4644,f29]) ).
fof(f9310,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f28,f18]) ).
fof(f32025,plain,
! [X0] : complement(top) = join(complement(top),composition(converse(join(X0,sK0)),complement(join(sK0,composition(X0,top))))),
inference(superposition,[],[f9310,f4680]) ).
fof(f32084,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sK0))),
inference(superposition,[],[f9310,f31]) ).
fof(f32094,plain,
! [X0] : join(sK0,composition(complement(sK0),top)) = composition(join(top,composition(converse(X0),complement(composition(X0,sK0)))),top),
inference(superposition,[],[f4690,f9310]) ).
fof(f32134,plain,
! [X0] : composition(top,top) = composition(join(top,composition(converse(X0),complement(composition(X0,sK0)))),top),
inference(forward_demodulation,[],[f32094,f4704]) ).
fof(f32143,plain,
zero = join(zero,composition(converse(sK0),complement(sK0))),
inference(forward_demodulation,[],[f32084,f34]) ).
fof(f32192,plain,
! [X0] : zero = join(zero,composition(converse(join(X0,sK0)),complement(join(sK0,composition(X0,top))))),
inference(forward_demodulation,[],[f32025,f34]) ).
fof(f32225,plain,
! [X0] : join(zero,X0) = join(zero,join(composition(converse(sK0),complement(sK0)),X0)),
inference(superposition,[],[f19,f32143]) ).
fof(f32227,plain,
top = join(zero,join(composition(converse(sK0),complement(sK0)),complement(zero))),
inference(superposition,[],[f440,f32143]) ).
fof(f32236,plain,
join(top,zero) = join(complement(composition(converse(sK0),complement(sK0))),zero),
inference(superposition,[],[f1235,f32143]) ).
fof(f32240,plain,
join(top,zero) = join(zero,complement(composition(converse(sK0),complement(sK0)))),
inference(forward_demodulation,[],[f32236,f18]) ).
fof(f32246,plain,
top = join(top,composition(converse(sK0),complement(sK0))),
inference(forward_demodulation,[],[f32227,f471]) ).
fof(f32252,plain,
top = join(zero,complement(composition(converse(sK0),complement(sK0)))),
inference(forward_demodulation,[],[f32240,f35]) ).
fof(f32294,plain,
join(top,top) = join(complement(composition(converse(sK0),complement(sK0))),top),
inference(superposition,[],[f1235,f32246]) ).
fof(f32298,plain,
join(top,top) = join(top,complement(composition(converse(sK0),complement(sK0)))),
inference(forward_demodulation,[],[f32294,f18]) ).
fof(f32521,plain,
! [X0] : join(zero,join(top,X0)) = join(zero,join(complement(composition(converse(sK0),complement(sK0))),X0)),
inference(superposition,[],[f32225,f431]) ).
fof(f32641,plain,
! [X0] : join(top,join(X0,zero)) = join(zero,join(complement(composition(converse(sK0),complement(sK0))),X0)),
inference(forward_demodulation,[],[f32521,f441]) ).
fof(f32692,plain,
! [X0] : join(top,X0) = join(zero,join(complement(composition(converse(sK0),complement(sK0))),X0)),
inference(forward_demodulation,[],[f32641,f456]) ).
fof(f36937,plain,
! [X0] : join(zero,complement(composition(converse(sK0),complement(sK0)))) = join(top,composition(converse(X0),complement(composition(X0,composition(converse(sK0),complement(sK0)))))),
inference(superposition,[],[f32692,f9310]) ).
fof(f36968,plain,
join(zero,converse(top)) = join(top,converse(complement(converse(complement(composition(converse(sK0),complement(sK0))))))),
inference(superposition,[],[f32692,f47]) ).
fof(f37063,plain,
converse(top) = join(top,converse(complement(converse(complement(composition(converse(sK0),complement(sK0))))))),
inference(forward_demodulation,[],[f36968,f1135]) ).
fof(f37086,plain,
! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,composition(converse(sK0),complement(sK0)))))),
inference(forward_demodulation,[],[f36937,f32252]) ).
fof(f43588,plain,
composition(top,top) = composition(join(top,complement(composition(one,sK0))),top),
inference(superposition,[],[f32134,f215]) ).
fof(f43616,plain,
composition(top,top) = composition(join(top,complement(sK0)),top),
inference(forward_demodulation,[],[f43588,f227]) ).
fof(f43639,plain,
join(sK0,composition(top,top)) = composition(join(top,top),top),
inference(superposition,[],[f4693,f43616]) ).
fof(f49345,plain,
top = join(top,complement(composition(one,composition(converse(sK0),complement(sK0))))),
inference(superposition,[],[f37086,f215]) ).
fof(f49419,plain,
top = join(top,complement(composition(converse(sK0),complement(sK0)))),
inference(forward_demodulation,[],[f49345,f227]) ).
fof(f49452,plain,
top = join(top,top),
inference(superposition,[],[f49419,f32298]) ).
fof(f49584,plain,
composition(top,top) = join(sK0,composition(top,top)),
inference(superposition,[],[f43639,f49452]) ).
fof(f49640,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f19,f49452]) ).
fof(f50418,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f49640,f37063]) ).
fof(f50897,plain,
converse(top) = converse(converse(top)),
inference(superposition,[],[f48,f50418]) ).
fof(f50923,plain,
top = converse(top),
inference(forward_demodulation,[],[f50897,f25]) ).
fof(f69175,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f20,f18]) ).
fof(f83715,plain,
zero = join(complement(join(top,converse(top))),complement(join(complement(zero),complement(converse(top))))),
inference(superposition,[],[f69175,f1269]) ).
fof(f83753,plain,
! [X0] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[],[f69175,f47]) ).
fof(f83757,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f69175,f29]) ).
fof(f83791,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f83757,f18]) ).
fof(f83794,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(forward_demodulation,[],[f83753,f50923]) ).
fof(f83818,plain,
zero = join(complement(join(top,top)),complement(join(complement(zero),complement(top)))),
inference(forward_demodulation,[],[f83715,f50923]) ).
fof(f83832,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f83791,f34]) ).
fof(f83835,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(forward_demodulation,[],[f83794,f34]) ).
fof(f83848,plain,
zero = join(complement(join(top,top)),complement(join(complement(top),complement(zero)))),
inference(forward_demodulation,[],[f83818,f18]) ).
fof(f83868,plain,
zero = join(complement(join(top,top)),complement(join(zero,complement(zero)))),
inference(forward_demodulation,[],[f83848,f34]) ).
fof(f83879,plain,
zero = join(complement(join(top,top)),complement(top)),
inference(forward_demodulation,[],[f83868,f29]) ).
fof(f83882,plain,
zero = join(complement(top),complement(join(top,top))),
inference(forward_demodulation,[],[f83879,f18]) ).
fof(f83883,plain,
zero = join(complement(top),complement(top)),
inference(forward_demodulation,[],[f83882,f49452]) ).
fof(f83884,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f83883,f34]) ).
fof(f83910,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f19,f83884]) ).
fof(f91050,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f83910,f83835]) ).
fof(f91146,plain,
zero = composition(converse(sK0),complement(sK0)),
inference(superposition,[],[f91050,f32143]) ).
fof(f91187,plain,
top = complement(zero),
inference(superposition,[],[f91050,f29]) ).
fof(f91484,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f47,f91050]) ).
fof(f91599,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f91484,f50923]) ).
fof(f92029,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f83832,f91050]) ).
fof(f92528,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f25,f91599]) ).
fof(f92556,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f92528,f50923]) ).
fof(f92607,plain,
converse(zero) = join(zero,complement(join(top,complement(converse(complement(converse(top))))))),
inference(superposition,[],[f83835,f92556]) ).
fof(f92608,plain,
converse(zero) = complement(join(top,complement(converse(complement(converse(top)))))),
inference(forward_demodulation,[],[f92607,f91050]) ).
fof(f92629,plain,
converse(zero) = complement(join(top,complement(converse(complement(top))))),
inference(forward_demodulation,[],[f92608,f50923]) ).
fof(f92642,plain,
converse(zero) = complement(join(top,complement(converse(zero)))),
inference(forward_demodulation,[],[f92629,f34]) ).
fof(f92647,plain,
converse(zero) = complement(join(top,top)),
inference(forward_demodulation,[],[f92642,f1195]) ).
fof(f92649,plain,
complement(top) = converse(zero),
inference(forward_demodulation,[],[f92647,f49452]) ).
fof(f92651,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f92649,f34]) ).
fof(f92775,plain,
converse(zero) = composition(converse(complement(sK0)),sK0),
inference(superposition,[],[f43,f91146]) ).
fof(f92783,plain,
zero = composition(converse(complement(sK0)),sK0),
inference(forward_demodulation,[],[f92775,f92651]) ).
fof(f92867,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(complement(sK0))),complement(zero))),
inference(superposition,[],[f9310,f92783]) ).
fof(f92873,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(complement(sK0))),top)),
inference(forward_demodulation,[],[f92867,f91187]) ).
fof(f92886,plain,
complement(sK0) = join(complement(sK0),composition(complement(sK0),top)),
inference(forward_demodulation,[],[f92873,f25]) ).
fof(f93074,plain,
! [X0] : top = join(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f29,f92029]) ).
fof(f93095,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f69175,f92029]) ).
fof(f93115,plain,
! [X0] : top = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f93074,f18]) ).
fof(f93140,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f93115,f431]) ).
fof(f93187,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f93140,f92029]) ).
fof(f93194,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f93140,f474]) ).
fof(f94028,plain,
zero = join(zero,composition(converse(top),complement(join(sK0,composition(top,top))))),
inference(superposition,[],[f32192,f93187]) ).
fof(f94030,plain,
zero = composition(converse(top),complement(join(sK0,composition(top,top)))),
inference(forward_demodulation,[],[f94028,f91050]) ).
fof(f94221,plain,
zero = composition(converse(top),complement(composition(top,top))),
inference(forward_demodulation,[],[f94030,f49584]) ).
fof(f94280,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f94221,f50923]) ).
fof(f94388,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f69175,f93194]) ).
fof(f94567,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f94388,f34]) ).
fof(f94660,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f94567,f91050]) ).
fof(f94698,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f94660,f18]) ).
fof(f94716,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f94698,f91050]) ).
fof(f94762,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f92029,f94716]) ).
fof(f94911,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f94716,f94762]) ).
fof(f94912,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f94911,f94716]) ).
fof(f95121,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f19,f94912]) ).
fof(f95999,plain,
! [X0] : join(zero,composition(X0,complement(composition(top,top)))) = composition(join(top,X0),complement(composition(top,top))),
inference(superposition,[],[f24,f94280]) ).
fof(f96001,plain,
! [X0] : join(zero,composition(X0,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f95999,f93187]) ).
fof(f96009,plain,
! [X0] : zero = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f96001,f94280]) ).
fof(f96013,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f96009,f91050]) ).
fof(f96037,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f96013,f227]) ).
fof(f96882,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f95121,f69175]) ).
fof(f98001,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f96882,f18]) ).
fof(f108179,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f98001,f18]) ).
fof(f206683,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f93095,f94912]) ).
fof(f229746,plain,
complement(sK0) = join(complement(composition(top,top)),complement(join(sK0,complement(composition(complement(sK0),top))))),
inference(superposition,[],[f206683,f4704]) ).
fof(f230179,plain,
complement(sK0) = join(zero,complement(join(sK0,complement(composition(complement(sK0),top))))),
inference(forward_demodulation,[],[f229746,f96037]) ).
fof(f230657,plain,
complement(sK0) = complement(join(sK0,complement(composition(complement(sK0),top)))),
inference(forward_demodulation,[],[f230179,f91050]) ).
fof(f231979,plain,
composition(complement(sK0),top) = join(composition(complement(sK0),top),complement(sK0)),
inference(superposition,[],[f108179,f230657]) ).
fof(f232124,plain,
composition(complement(sK0),top) = join(complement(sK0),composition(complement(sK0),top)),
inference(forward_demodulation,[],[f231979,f18]) ).
fof(f232162,plain,
complement(sK0) = composition(complement(sK0),top),
inference(forward_demodulation,[],[f232124,f92886]) ).
fof(f232183,plain,
$false,
inference(forward_subsumption_resolution,[],[f232162,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 22:54:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.48 Running first-order model finding
% 0.18/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.32/2.50 % (3977543)Will run a generic schedule for satisfiability detection.
% 14.32/2.50 % (3977552)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1936556001:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.32/2.50 % (3977549)% WARNING: option uhcvi not known.
% 14.32/2.50 % (3977550)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=60393328:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.32/2.50 % (3977553)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3479306789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.32/2.50 % (3977548)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2676287093_2999 on theBenchmark for (2999ds/0Mi)
% 14.32/2.50 % (3977549)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3221057023:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.32/2.50 % (3977551)dis+10_1_sil=32000:sp=arity:random_seed=1099793276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.32/2.50 % (3977554)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1065528702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.32/2.50 % TRYING [1]
% 14.32/2.50 % TRYING [2]
% 14.32/2.50 % TRYING [3]
% 14.32/2.50 % TRYING [4]
% 14.32/2.50 % (3977552)Instruction limit reached!
% 14.32/2.50 % (3977552)------------------------------
% 14.32/2.50 % (3977552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.50 % (3977552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.50 % (3977552)CaDiCaL version: 2.1.3
% 14.32/2.50 % (3977552)Termination reason: Instruction limit
% 14.32/2.50 % (3977552)Termination phase: Saturation
% 14.32/2.50 % (3977552)Time elapsed: 0.038 s
% 14.32/2.50 % (3977552)Peak memory usage: 12 MB
% 14.32/2.50 % (3977552)Instructions burned: 117 (million)
% 14.32/2.50 % (3977562)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3590219666:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.32/2.50 % TRYING [1]
% 14.32/2.50 % TRYING [2]
% 14.32/2.50 % TRYING [3]
% 14.32/2.50 % TRYING [4]
% 14.32/2.50 % TRYING [5]
% 14.32/2.50 % (3977551)Instruction limit reached!
% 14.32/2.50 % (3977551)------------------------------
% 14.32/2.50 % (3977551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.50 % (3977551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.50 % (3977551)CaDiCaL version: 2.1.3
% 14.32/2.50 % (3977551)Termination reason: Instruction limit
% 14.32/2.50 % (3977551)Termination phase: Saturation
% 14.32/2.50 % (3977551)Time elapsed: 0.060 s
% 14.32/2.50 % (3977551)Peak memory usage: 12 MB
% 14.32/2.50 % (3977551)Instructions burned: 105 (million)
% 14.32/2.50 % TRYING [5]
% 14.32/2.50 % (3977553)Instruction limit reached!
% 14.32/2.50 % (3977553)------------------------------
% 14.32/2.50 % (3977553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.50 % (3977553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.50 % (3977553)CaDiCaL version: 2.1.3
% 14.32/2.50 % (3977553)Termination reason: Instruction limit
% 14.32/2.50 % (3977553)Termination phase: Saturation
% 14.32/2.50 % (3977553)Time elapsed: 0.077 s
% 14.32/2.50 % (3977553)Peak memory usage: 13 MB
% 14.32/2.50 % (3977553)Instructions burned: 132 (million)
% 14.32/2.50 % (3977564)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1518250510:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.32/2.50 % (3977554)Instruction limit reached!
% 14.32/2.50 % (3977554)------------------------------
% 14.32/2.50 % (3977554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.32/2.50 % (3977554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.50 % (3977554)CaDiCaL version: 2.1.3
% 14.32/2.50 % (3977554)Termination reason: Instruction limit
% 14.32/2.50 % (3977554)Termination phase: Saturation
% 14.32/2.50 % (3977554)Time elapsed: 0.094 s
% 14.32/2.50 % (3977554)Peak memory usage: 13 MB
% 14.32/2.50 % (3977554)Instructions burned: 160 (million)
% 14.32/2.50 % (3977565)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1190275035:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.32/2.50 % (3977567)ott-21_1_sil=16000:fs=off:random_seed=3953619297:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.32/2.50 % (3977564)Instruction limit reached!
% 14.32/2.50 % (3977564)------------------------------
% 14.32/2.50 % (3977564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977564)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977564)Termination reason: Instruction limit
% 33.05/5.19 % (3977564)Termination phase: Saturation
% 33.05/5.19 % (3977564)Time elapsed: 0.085 s
% 33.05/5.19 % (3977564)Peak memory usage: 13 MB
% 33.05/5.19 % (3977564)Instructions burned: 132 (million)
% 33.05/5.19 % (3977570)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1603369666:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.05/5.19 % TRYING [6]
% 33.05/5.19 % (3977567)Instruction limit reached!
% 33.05/5.19 % (3977567)------------------------------
% 33.05/5.19 % (3977567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977567)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977567)Termination reason: Instruction limit
% 33.05/5.19 % (3977567)Termination phase: Saturation
% 33.05/5.19 % (3977567)Time elapsed: 0.083 s
% 33.05/5.19 % (3977567)Peak memory usage: 12 MB
% 33.05/5.19 % (3977567)Instructions burned: 182 (million)
% 33.05/5.19 % (3977572)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3676507751:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.05/5.19 % TRYING [1]
% 33.05/5.19 % TRYING [2]
% 33.05/5.19 % TRYING [3]
% 33.05/5.19 % TRYING [6]
% 33.05/5.19 % (3977562)Instruction limit reached!
% 33.05/5.19 % (3977562)------------------------------
% 33.05/5.19 % (3977562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977562)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977562)Termination reason: Instruction limit
% 33.05/5.19 % (3977562)Termination phase: Finite model building SAT solving
% 33.05/5.19 % (3977562)Time elapsed: 0.192 s
% 33.05/5.19 % (3977562)Peak memory usage: 26 MB
% 33.05/5.19 % (3977562)Instructions burned: 717 (million)
% 33.05/5.19 % TRYING [4]
% 33.05/5.19 % (3977574)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2491326854:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.05/5.19 % TRYING [5]
% 33.05/5.19 % (3977565)Instruction limit reached!
% 33.05/5.19 % (3977565)------------------------------
% 33.05/5.19 % (3977565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977565)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977565)Termination reason: Instruction limit
% 33.05/5.19 % (3977565)Termination phase: Saturation
% 33.05/5.19 % (3977565)Time elapsed: 0.352 s
% 33.05/5.19 % (3977565)Peak memory usage: 17 MB
% 33.05/5.19 % (3977565)Instructions burned: 684 (million)
% 33.05/5.19 % TRYING [6]
% 33.05/5.19 % (3977570)Instruction limit reached!
% 33.05/5.19 % (3977570)------------------------------
% 33.05/5.19 % (3977570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977570)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977570)Termination reason: Instruction limit
% 33.05/5.19 % (3977570)Termination phase: Saturation
% 33.05/5.19 % (3977570)Time elapsed: 0.261 s
% 33.05/5.19 % (3977570)Peak memory usage: 15 MB
% 33.05/5.19 % (3977570)Instructions burned: 477 (million)
% 33.05/5.19 % (3977576)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3000098260:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.05/5.19 % (3977577)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2749963993:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 33.05/5.19 % TRYING [14]
% 33.05/5.19 % (3977574)Instruction limit reached!
% 33.05/5.19 % (3977574)------------------------------
% 33.05/5.19 % (3977574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977574)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977574)Termination reason: Instruction limit
% 33.05/5.19 % (3977574)Termination phase: Saturation
% 33.05/5.19 % (3977574)Time elapsed: 0.365 s
% 33.05/5.19 % (3977574)Peak memory usage: 21 MB
% 33.05/5.19 % (3977574)Instructions burned: 1181 (million)
% 33.05/5.19 % (3977572)Instruction limit reached!
% 33.05/5.19 % (3977572)------------------------------
% 33.05/5.19 % (3977572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977572)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977572)Termination reason: Instruction limit
% 33.05/5.19 % (3977572)Termination phase: Finite model building SAT solving
% 33.05/5.19 % (3977572)Time elapsed: 0.395 s
% 33.05/5.19 % (3977572)Peak memory usage: 22 MB
% 33.05/5.19 % (3977572)Instructions burned: 868 (million)
% 33.05/5.19 % (3977582)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1894614845:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 33.05/5.19 % (3977583)fmb+10_1_sil=64000:random_seed=1919369226:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 33.05/5.19 % TRYING [1]
% 33.05/5.19 % TRYING [2]
% 33.05/5.19 % TRYING [3]
% 33.05/5.19 % TRYING [4]
% 33.05/5.19 % TRYING [5]
% 33.05/5.19 % (3977576)Instruction limit reached!
% 33.05/5.19 % (3977576)------------------------------
% 33.05/5.19 % (3977576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977576)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977576)Termination reason: Instruction limit
% 33.05/5.19 % (3977576)Termination phase: Finite model building constraint generation
% 33.05/5.19 % (3977576)Time elapsed: 0.341 s
% 33.05/5.19 % (3977576)Peak memory usage: 82 MB
% 33.05/5.19 % (3977576)Instructions burned: 890 (million)
% 33.05/5.19 % (3977636)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4088560175:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 33.05/5.19 % TRYING [20]
% 33.05/5.19 % (3977577)Instruction limit reached!
% 33.05/5.19 % (3977577)------------------------------
% 33.05/5.19 % (3977577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977577)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977577)Termination reason: Instruction limit
% 33.05/5.19 % (3977577)Termination phase: Saturation
% 33.05/5.19 % (3977577)Time elapsed: 0.386 s
% 33.05/5.19 % (3977577)Peak memory usage: 16 MB
% 33.05/5.19 % (3977577)Instructions burned: 693 (million)
% 33.05/5.19 % TRYING [6]
% 33.05/5.19 % (3977582)Instruction limit reached!
% 33.05/5.19 % (3977582)------------------------------
% 33.05/5.19 % (3977582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977582)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977582)Termination reason: Instruction limit
% 33.05/5.19 % (3977582)Termination phase: Saturation
% 33.05/5.19 % (3977582)Time elapsed: 0.249 s
% 33.05/5.19 % (3977582)Peak memory usage: 18 MB
% 33.05/5.19 % (3977582)Instructions burned: 880 (million)
% 33.05/5.19 % (3977655)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2022292079:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 33.05/5.19 % TRYING [8]
% 33.05/5.19 % (3977662)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3576898600:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 33.05/5.19 % TRYING [7]
% 33.05/5.19 % (3977655)Instruction limit reached!
% 33.05/5.19 % (3977655)------------------------------
% 33.05/5.19 % (3977655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977655)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977655)Termination reason: Instruction limit
% 33.05/5.19 % (3977655)Termination phase: Finite model building SAT solving
% 33.05/5.19 % (3977655)Time elapsed: 0.370 s
% 33.05/5.19 % (3977655)Peak memory usage: 65 MB
% 33.05/5.19 % (3977655)Instructions burned: 922 (million)
% 33.05/5.19 % (3977744)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2978762730:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 33.05/5.19 % TRYING [7]
% 33.05/5.19 % (3977744)Instruction limit reached!
% 33.05/5.19 % (3977744)------------------------------
% 33.05/5.19 % (3977744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977744)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977744)Termination reason: Instruction limit
% 33.05/5.19 % (3977744)Termination phase: Saturation
% 33.05/5.19 % (3977744)Time elapsed: 0.682 s
% 33.05/5.19 % (3977744)Peak memory usage: 24 MB
% 33.05/5.19 % (3977744)Instructions burned: 1474 (million)
% 33.05/5.19 % (3977746)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4251851659:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 33.05/5.19 % TRYING [77]
% 33.05/5.19 % (3977662)Instruction limit reached!
% 33.05/5.19 % (3977662)------------------------------
% 33.05/5.19 % (3977662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977662)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977662)Termination reason: Instruction limit
% 33.05/5.19 % (3977662)Termination phase: Saturation
% 33.05/5.19 % (3977662)Time elapsed: 1.499 s
% 33.05/5.19 % (3977662)Peak memory usage: 49 MB
% 33.05/5.19 % (3977662)Instructions burned: 5134 (million)
% 33.05/5.19 % (3977748)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4062878323:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 33.05/5.19 % TRYING [16]
% 33.05/5.19 % (3977748)Instruction limit reached!
% 33.05/5.19 % (3977748)------------------------------
% 33.05/5.19 % (3977748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977748)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977748)Termination reason: Instruction limit
% 33.05/5.19 % (3977748)Termination phase: Finite model building constraint generation
% 33.05/5.19 % (3977748)Time elapsed: 0.405 s
% 33.05/5.19 % (3977748)Peak memory usage: 135 MB
% 33.05/5.19 % (3977748)Instructions burned: 2180 (million)
% 33.05/5.19 % (3977750)ott-2_1_sil=16000:newcnf=on:random_seed=1072860318:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 33.05/5.19 % TRYING [8]
% 33.05/5.19 % (3977750)Instruction limit reached!
% 33.05/5.19 % (3977750)------------------------------
% 33.05/5.19 % (3977750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977750)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977750)Termination reason: Instruction limit
% 33.05/5.19 % (3977750)Termination phase: Saturation
% 33.05/5.19 % (3977750)Time elapsed: 0.273 s
% 33.05/5.19 % (3977750)Peak memory usage: 19 MB
% 33.05/5.19 % (3977750)Instructions burned: 871 (million)
% 33.05/5.19 % (3977752)ott+10_1_sil=32000:tgt=ground:random_seed=362578413:i=5114:av=off_2968 on theBenchmark for (2968ds/5114Mi)
% 33.05/5.19 % (3977636)Instruction limit reached!
% 33.05/5.19 % (3977636)------------------------------
% 33.05/5.19 % (3977636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977636)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977636)Termination reason: Instruction limit
% 33.05/5.19 % (3977636)Termination phase: Finite model building constraint generation
% 33.05/5.19 % (3977636)Time elapsed: 3.460 s
% 33.05/5.19 % (3977636)Peak memory usage: 671 MB
% 33.05/5.19 % (3977636)Instructions burned: 9516 (million)
% 33.05/5.19 % (3977746)Instruction limit reached!
% 33.05/5.19 % (3977746)------------------------------
% 33.05/5.19 % (3977746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977746)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977746)Termination reason: Instruction limit
% 33.05/5.19 % (3977746)Termination phase: Finite model building constraint generation
% 33.05/5.19 % (3977746)Time elapsed: 2.349 s
% 33.05/5.19 % (3977746)Peak memory usage: 515 MB
% 33.05/5.19 % (3977746)Instructions burned: 6327 (million)
% 33.05/5.19 % (3977755)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1746938083:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 33.05/5.19 % (3977756)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=873115149:i=3512:aac=none_2955 on theBenchmark for (2955ds/3512Mi)
% 33.05/5.19 % TRYING [1]
% 33.05/5.19 % TRYING [2]
% 33.05/5.19 % TRYING [3]
% 33.05/5.19 % TRYING [4]
% 33.05/5.19 % TRYING [5]
% 33.05/5.19 % TRYING [6]
% 33.05/5.19 % (3977550) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3977543-3977550"...
% 33.05/5.19 % (3977550)...printing done.
% 33.05/5.19 % (3977550)Refutation found. Thanks to Tanya!
% 33.05/5.19 % SZS status Theorem for theBenchmark
% 33.05/5.19 % SZS output start Proof for theBenchmark
% See solution above
% 33.05/5.19 % (3977550)------------------------------
% 33.05/5.19 % (3977550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.05/5.19 % (3977550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.05/5.19 % (3977550)CaDiCaL version: 2.1.3
% 33.05/5.19 % (3977550)Termination reason: Refutation
% 33.05/5.19 % (3977550)Time elapsed: 4.648 s
% 33.05/5.19 % (3977550)Peak memory usage: 70 MB
% 33.05/5.19 % (3977550)Instructions burned: 9332 (million)
% 33.05/5.19 % (3977543)Success in time 4.703 s
% 33.05/5.19 % Vampire exiting
%------------------------------------------------------------------------------