%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL043+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:34:06 PM UTC 2026
% Result : Theorem 24.39s 4.34s
% Output : Refutation 25.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 11
% Syntax : Number of formulae : 132 ( 128 unt; 0 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 200 ( 197 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(composition(X0,converse(X1)),X2) = X2
=> join(composition(complement(X2),X1),complement(X0)) = complement(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(X0,converse(X1)),X2) = X2
=> join(composition(complement(X2),X1),complement(X0)) = complement(X0) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( complement(X0) != join(composition(complement(X2),X1),complement(X0))
& join(composition(X0,converse(X1)),X2) = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( complement(sK0) != join(composition(complement(sK2),sK1),complement(sK0))
& sK2 = join(composition(sK0,converse(sK1)),sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
sK2 = join(composition(sK0,converse(sK1)),sK2),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
complement(sK0) != join(composition(complement(sK2),sK1),complement(sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f36,plain,
sK2 = join(sK2,composition(sK0,converse(sK1))),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f37,plain,
complement(sK0) != join(complement(sK0),composition(complement(sK2),sK1)),
inference(forward_demodulation,[],[f19,f27]) ).
fof(f45,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f34,f34]) ).
fof(f47,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f34,f27]) ).
fof(f48,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f45,f27]) ).
fof(f49,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f48,f27]) ).
fof(f50,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f49,f26]) ).
fof(f51,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f29,f32]) ).
fof(f52,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f54,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f55,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f56,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f22,f32]) ).
fof(f78,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f34]) ).
fof(f79,plain,
! [X0] : join(sK2,join(composition(sK0,converse(sK1)),X0)) = join(sK2,X0),
inference(superposition,[],[f26,f36]) ).
fof(f85,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f144,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f35,f32]) ).
fof(f160,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f52,f30]) ).
fof(f161,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f160,f32]) ).
fof(f172,plain,
one = converse(one),
inference(superposition,[],[f30,f161]) ).
fof(f178,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f161,f172]) ).
fof(f230,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f55,f20]) ).
fof(f253,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f144,f178]) ).
fof(f258,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f26,f144]) ).
fof(f263,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f253,f161]) ).
fof(f274,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,[],[f78,f263]) ).
fof(f275,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f274,f34]) ).
fof(f298,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f275,f263]) ).
fof(f521,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f275,f50]) ).
fof(f577,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f521,f27]) ).
fof(f578,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f521,f78]) ).
fof(f592,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f521,f230]) ).
fof(f622,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f578,f26]) ).
fof(f646,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(join(complement(X0),join(X2,complement(complement(X0))))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f78,f577]) ).
fof(f666,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),join(X2,complement(complement(X0))))))),
inference(forward_demodulation,[],[f646,f85]) ).
fof(f676,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f666,f622]) ).
fof(f699,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f34,f676]) ).
fof(f704,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f27,f676]) ).
fof(f715,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f263,f676]) ).
fof(f728,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f715,f298]) ).
fof(f738,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f699,f676]) ).
fof(f773,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f263,f728]) ).
fof(f869,plain,
! [X0] : complement(X0) = join(complement(join(X0,X0)),complement(top)),
inference(superposition,[],[f738,f20]) ).
fof(f884,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f47,f738]) ).
fof(f905,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f884,f27]) ).
fof(f914,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,X0))),
inference(forward_demodulation,[],[f869,f27]) ).
fof(f939,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f905,f676]) ).
fof(f943,plain,
! [X0] : complement(X0) = join(complement(top),complement(X0)),
inference(forward_demodulation,[],[f914,f773]) ).
fof(f957,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f939,f27]) ).
fof(f970,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f957,f26]) ).
fof(f979,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f970,f577]) ).
fof(f984,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f979,f27]) ).
fof(f1001,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f979,f704]) ).
fof(f1007,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f979,f230]) ).
fof(f1059,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1007,f592]) ).
fof(f1063,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1001,f704]) ).
fof(f1301,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f47,f1059]) ).
fof(f1309,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(complement(converse(complement(converse(X0)))))),
inference(superposition,[],[f979,f1059]) ).
fof(f1316,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f55,f1059]) ).
fof(f1320,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1316,f32]) ).
fof(f1325,plain,
! [X0] : join(X0,complement(X0)) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f1309,f704]) ).
fof(f1330,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1301,f27]) ).
fof(f1335,plain,
! [X0] : join(X0,complement(X0)) = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1325,f27]) ).
fof(f1337,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1330,f676]) ).
fof(f1339,plain,
! [X0] : join(X0,complement(X0)) = converse(top),
inference(forward_demodulation,[],[f1335,f230]) ).
fof(f1340,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f1337,f984]) ).
fof(f1341,plain,
top = converse(top),
inference(forward_demodulation,[],[f1339,f20]) ).
fof(f1342,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f1340,f704]) ).
fof(f1343,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f1342,f27]) ).
fof(f1344,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f1343,f1320]) ).
fof(f2094,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(converse(complement(converse(complement(X0)))),X1)),
inference(superposition,[],[f85,f1320]) ).
fof(f2121,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f2094,f1344]) ).
fof(f2144,plain,
! [X0] : join(complement(X0),X0) = join(X0,top),
inference(superposition,[],[f2121,f20]) ).
fof(f2238,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f2144,f27]) ).
fof(f2276,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f2238,f20]) ).
fof(f4499,plain,
join(sK2,converse(complement(converse(composition(sK0,converse(sK1)))))) = join(sK2,converse(top)),
inference(superposition,[],[f79,f230]) ).
fof(f4528,plain,
join(sK2,top) = join(sK2,converse(complement(converse(composition(sK0,converse(sK1)))))),
inference(forward_demodulation,[],[f4499,f1341]) ).
fof(f4552,plain,
join(sK2,top) = join(sK2,converse(complement(composition(sK1,converse(sK0))))),
inference(forward_demodulation,[],[f4528,f51]) ).
fof(f4559,plain,
top = join(sK2,converse(complement(composition(sK1,converse(sK0))))),
inference(forward_demodulation,[],[f4552,f2276]) ).
fof(f4774,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f54,f29]) ).
fof(f4803,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f4774,f22]) ).
fof(f4820,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f4803,f22]) ).
fof(f4829,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f4820,f29]) ).
fof(f4856,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f4829]) ).
fof(f4868,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4856,f32]) ).
fof(f6213,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f1344,f728]) ).
fof(f6226,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f32,f1344]) ).
fof(f6284,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f728,f6226]) ).
fof(f8124,plain,
! [X0,X1] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[],[f22,f6284]) ).
fof(f8126,plain,
! [X0,X1] : composition(converse(X1),complement(converse(X0))) = converse(composition(complement(X0),X1)),
inference(superposition,[],[f29,f6284]) ).
fof(f18867,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f258,f4868]) ).
fof(f19119,plain,
! [X2,X0,X1] : join(complement(X2),composition(X1,X0)) = join(complement(X2),composition(X1,join(X0,complement(composition(converse(X1),X2))))),
inference(superposition,[],[f18867,f27]) ).
fof(f19737,plain,
! [X2,X0,X1] : join(complement(X1),composition(converse(X0),X2)) = join(complement(X1),composition(converse(X0),join(X2,complement(composition(X0,X1))))),
inference(superposition,[],[f19119,f32]) ).
fof(f23028,plain,
converse(top) = join(converse(sK2),complement(composition(sK1,converse(sK0)))),
inference(superposition,[],[f56,f4559]) ).
fof(f23085,plain,
top = join(converse(sK2),complement(composition(sK1,converse(sK0)))),
inference(forward_demodulation,[],[f23028,f1341]) ).
fof(f23153,plain,
join(complement(composition(sK1,converse(sK0))),complement(top)) = join(complement(converse(sK2)),complement(composition(sK1,converse(sK0)))),
inference(superposition,[],[f1063,f23085]) ).
fof(f23183,plain,
join(complement(converse(sK2)),complement(composition(sK1,converse(sK0)))) = join(complement(top),complement(composition(sK1,converse(sK0)))),
inference(forward_demodulation,[],[f23153,f27]) ).
fof(f23208,plain,
complement(composition(sK1,converse(sK0))) = join(complement(converse(sK2)),complement(composition(sK1,converse(sK0)))),
inference(forward_demodulation,[],[f23183,f943]) ).
fof(f30298,plain,
join(complement(converse(sK0)),composition(converse(sK1),complement(converse(sK2)))) = join(complement(converse(sK0)),composition(converse(sK1),complement(composition(sK1,converse(sK0))))),
inference(superposition,[],[f19737,f23208]) ).
fof(f30446,plain,
complement(converse(sK0)) = join(complement(converse(sK0)),composition(converse(sK1),complement(converse(sK2)))),
inference(forward_demodulation,[],[f30298,f35]) ).
fof(f30504,plain,
complement(converse(sK0)) = join(complement(converse(sK0)),converse(composition(complement(sK2),sK1))),
inference(forward_demodulation,[],[f30446,f8126]) ).
fof(f30529,plain,
complement(converse(sK0)) = converse(join(complement(sK0),composition(complement(sK2),sK1))),
inference(forward_demodulation,[],[f30504,f8124]) ).
fof(f41396,plain,
join(complement(sK0),composition(complement(sK2),sK1)) = converse(complement(converse(sK0))),
inference(superposition,[],[f32,f30529]) ).
fof(f41454,plain,
complement(sK0) = join(complement(sK0),composition(complement(sK2),sK1)),
inference(forward_demodulation,[],[f41396,f6213]) ).
fof(f41477,plain,
$false,
inference(forward_subsumption_resolution,[],[f41454,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL043+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:56:06 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.12/3.43 % (643238)Detected formulas, will run a generic FOF schedule.
% 18.12/3.43 % (643349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3519580697:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.12/3.43 % (643346)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=2197138702:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.12/3.43 % (643344)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=2377940724:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.12/3.43 % (643345)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=3347817963:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.12/3.43 % (643347)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2062270435:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.12/3.43 % (643350)dis-21_1_sil=8000:lcm=predicate:random_seed=741705904: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)
% 18.12/3.43 % (643350)Refutation not found, incomplete strategy
% 18.12/3.43 % (643350)------------------------------
% 18.12/3.43 % (643350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.43 % (643350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.43 % (643350)CaDiCaL version: 2.1.3
% 18.12/3.43 % (643350)Termination reason: Refutation not found, incomplete strategy
% 18.12/3.43 % (643350)Time elapsed: 0.001 s
% 18.12/3.43 % (643350)Peak memory usage: 88 MB
% 18.12/3.43 % (643350)Instructions burned: 1 (million)
% 18.12/3.43 % (643349)Instruction limit reached!
% 18.12/3.43 % (643349)------------------------------
% 18.12/3.43 % (643349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.43 % (643349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.43 % (643349)CaDiCaL version: 2.1.3
% 18.12/3.43 % (643349)Termination reason: Instruction limit
% 18.12/3.43 % (643349)Termination phase: Saturation
% 18.12/3.43 % (643349)Time elapsed: 0.044 s
% 18.12/3.43 % (643349)Peak memory usage: 89 MB
% 18.12/3.43 % (643349)Instructions burned: 140 (million)
% 18.12/3.43 % (643348)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1261422147:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.12/3.43 % (643347)Instruction limit reached!
% 18.12/3.43 % (643347)------------------------------
% 18.12/3.43 % (643347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.43 % (643347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.43 % (643347)CaDiCaL version: 2.1.3
% 18.12/3.43 % (643347)Termination reason: Instruction limit
% 18.12/3.43 % (643347)Termination phase: Saturation
% 18.12/3.43 % (643347)Time elapsed: 0.065 s
% 18.12/3.43 % (643347)Peak memory usage: 89 MB
% 18.12/3.43 % (643347)Instructions burned: 109 (million)
% 18.12/3.43 % (643348)Instruction limit reached!
% 18.12/3.43 % (643348)------------------------------
% 18.12/3.43 % (643348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.43 % (643348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.43 % (643348)CaDiCaL version: 2.1.3
% 18.12/3.43 % (643348)Termination reason: Instruction limit
% 18.12/3.43 % (643348)Termination phase: Saturation
% 18.12/3.43 % (643348)Time elapsed: 0.070 s
% 18.12/3.43 % (643348)Peak memory usage: 88 MB
% 18.12/3.43 % (643348)Instructions burned: 120 (million)
% 18.12/3.43 % (643362)lrs+10_1_sil=8000:sp=occurrence:random_seed=2892848173:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 18.12/3.43 % (643372)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2610060441:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.12/3.43 % (643362)Instruction limit reached!
% 18.12/3.43 % (643362)------------------------------
% 18.12/3.43 % (643362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.12/3.43 % (643362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.12/3.43 % (643362)CaDiCaL version: 2.1.3
% 18.12/3.43 % (643362)Termination reason: Instruction limit
% 18.12/3.43 % (643362)Termination phase: Saturation
% 18.12/3.43 % (643362)Time elapsed: 0.092 s
% 24.39/4.34 % (643362)Peak memory usage: 91 MB
% 24.39/4.34 % (643362)Instructions burned: 285 (million)
% 24.39/4.34 % (643350)------------------------------
% 24.39/4.34 % (643350)------------------------------
% 24.39/4.34 % (643373)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3730242435:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 24.39/4.34 % (643372)Instruction limit reached!
% 24.39/4.34 % (643372)------------------------------
% 24.39/4.34 % (643372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643372)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643372)Termination reason: Instruction limit
% 24.39/4.34 % (643372)Termination phase: Saturation
% 24.39/4.34 % (643372)Time elapsed: 0.099 s
% 24.39/4.34 % (643372)Peak memory usage: 90 MB
% 24.39/4.34 % (643372)Instructions burned: 158 (million)
% 24.39/4.34 % (643376)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=1272318244:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 24.39/4.34 % (643378)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=964632170:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 24.39/4.34 % (643376)Instruction limit reached!
% 24.39/4.34 % (643376)------------------------------
% 24.39/4.34 % (643376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643376)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643376)Termination reason: Instruction limit
% 24.39/4.34 % (643376)Termination phase: Saturation
% 24.39/4.34 % (643376)Time elapsed: 0.083 s
% 24.39/4.34 % (643376)Peak memory usage: 92 MB
% 24.39/4.34 % (643376)Instructions burned: 250 (million)
% 24.39/4.34 % (643373)Instruction limit reached!
% 24.39/4.34 % (643373)------------------------------
% 24.39/4.34 % (643373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643373)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643373)Termination reason: Instruction limit
% 24.39/4.34 % (643373)Termination phase: Saturation
% 24.39/4.34 % (643373)Time elapsed: 0.192 s
% 24.39/4.34 % (643373)Peak memory usage: 91 MB
% 24.39/4.34 % (643373)Instructions burned: 325 (million)
% 24.39/4.34 % (643379)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=773203444:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 24.39/4.34 % (643382)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1666114288:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 24.39/4.34 % (643378)Instruction limit reached!
% 24.39/4.34 % (643378)------------------------------
% 24.39/4.34 % (643378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643378)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643378)Termination reason: Instruction limit
% 24.39/4.34 % (643378)Termination phase: Saturation
% 24.39/4.34 % (643378)Time elapsed: 0.164 s
% 24.39/4.34 % (643378)Peak memory usage: 89 MB
% 24.39/4.34 % (643378)Instructions burned: 295 (million)
% 24.39/4.34 % (643382)Instruction limit reached!
% 24.39/4.34 % (643382)------------------------------
% 24.39/4.34 % (643382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643382)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643382)Termination reason: Instruction limit
% 24.39/4.34 % (643382)Termination phase: Saturation
% 24.39/4.34 % (643382)Time elapsed: 0.035 s
% 24.39/4.34 % (643382)Peak memory usage: 89 MB
% 24.39/4.34 % (643382)Instructions burned: 116 (million)
% 24.39/4.34 % (643383)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3411574273:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 24.39/4.34 % (643383)Refutation not found, incomplete strategy
% 24.39/4.34 % (643383)------------------------------
% 24.39/4.34 % (643383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643383)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643383)Termination reason: Refutation not found, incomplete strategy
% 24.39/4.34 % (643383)Time elapsed: 0.001 s
% 24.39/4.34 % (643383)Peak memory usage: 88 MB
% 24.39/4.34 % (643387)lrs+10_1_sil=8000:sp=occurrence:random_seed=1144273322:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 24.39/4.34 % (643386)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3674001814:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 24.39/4.34 % (643386)Instruction limit reached!
% 24.39/4.34 % (643386)------------------------------
% 24.39/4.34 % (643386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643386)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643386)Termination reason: Instruction limit
% 24.39/4.34 % (643386)Termination phase: Saturation
% 24.39/4.34 % (643386)Time elapsed: 0.112 s
% 24.39/4.34 % (643386)Peak memory usage: 89 MB
% 24.39/4.34 % (643386)Instructions burned: 114 (million)
% 24.39/4.34 % (643383)------------------------------
% 24.39/4.34 % (643383)------------------------------
% 24.39/4.34 % (643409)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2343052783:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 24.39/4.34 % (643407)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1098282989:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 24.39/4.34 % (643387)Instruction limit reached!
% 24.39/4.34 % (643387)------------------------------
% 24.39/4.34 % (643387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643387)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643387)Termination reason: Instruction limit
% 24.39/4.34 % (643387)Termination phase: Saturation
% 24.39/4.34 % (643387)Time elapsed: 0.473 s
% 24.39/4.34 % (643387)Peak memory usage: 96 MB
% 24.39/4.34 % (643387)Instructions burned: 908 (million)
% 24.39/4.34 % (643417)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3569979748:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 24.39/4.34 % (643417)Refutation not found, incomplete strategy
% 24.39/4.34 % (643417)------------------------------
% 24.39/4.34 % (643417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643417)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643417)Termination reason: Refutation not found, incomplete strategy
% 24.39/4.34 % (643417)Time elapsed: 0.001 s
% 24.39/4.34 % (643417)Peak memory usage: 89 MB
% 24.39/4.34 % (643417)Instructions burned: 1 (million)
% 24.39/4.34 % (643407)Instruction limit reached!
% 24.39/4.34 % (643407)------------------------------
% 24.39/4.34 % (643407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643407)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643407)Termination reason: Instruction limit
% 24.39/4.34 % (643407)Termination phase: Saturation
% 24.39/4.34 % (643407)Time elapsed: 0.364 s
% 24.39/4.34 % (643407)Peak memory usage: 90 MB
% 24.39/4.34 % (643407)Instructions burned: 437 (million)
% 24.39/4.34 % (643417)------------------------------
% 24.39/4.34 % (643417)------------------------------
% 24.39/4.34 % (643424)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1031113208:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 24.39/4.34 % (643428)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=205097289:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 24.39/4.34 % (643424)Instruction limit reached!
% 24.39/4.34 % (643424)------------------------------
% 24.39/4.34 % (643424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643424)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643424)Termination reason: Instruction limit
% 24.39/4.34 % (643424)Termination phase: Saturation
% 24.39/4.34 % (643424)Time elapsed: 0.402 s
% 24.39/4.34 % (643424)Peak memory usage: 94 MB
% 24.39/4.34 % (643424)Instructions burned: 592 (million)
% 24.39/4.34 % (643433)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2947282966:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 24.39/4.34 % (643379)Instruction limit reached!
% 24.39/4.34 % (643379)------------------------------
% 24.39/4.34 % (643379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643379)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643379)Termination reason: Instruction limit
% 24.39/4.34 % (643379)Termination phase: Saturation
% 24.39/4.34 % (643379)Time elapsed: 1.947 s
% 24.39/4.34 % (643379)Peak memory usage: 140 MB
% 24.39/4.34 % (643379)Instructions burned: 2351 (million)
% 24.39/4.34 % (643433)Instruction limit reached!
% 24.39/4.34 % (643433)------------------------------
% 24.39/4.34 % (643433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643433)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643433)Termination reason: Instruction limit
% 24.39/4.34 % (643433)Termination phase: Saturation
% 24.39/4.34 % (643433)Time elapsed: 0.080 s
% 24.39/4.34 % (643433)Peak memory usage: 90 MB
% 24.39/4.34 % (643433)Instructions burned: 126 (million)
% 24.39/4.34 % (643488)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2810439554:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 24.39/4.34 % (643509)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1583868815:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 24.39/4.34 % (643509)Refutation not found, incomplete strategy
% 24.39/4.34 % (643509)------------------------------
% 24.39/4.34 % (643509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643509)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643509)Termination reason: Refutation not found, incomplete strategy
% 24.39/4.34 % (643509)Time elapsed: 0.001 s
% 24.39/4.34 % (643509)Peak memory usage: 88 MB
% 24.39/4.34 % (643488)Instruction limit reached!
% 24.39/4.34 % (643488)------------------------------
% 24.39/4.34 % (643488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643488)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643488)Termination reason: Instruction limit
% 24.39/4.34 % (643488)Termination phase: Saturation
% 24.39/4.34 % (643488)Time elapsed: 0.070 s
% 24.39/4.34 % (643488)Peak memory usage: 89 MB
% 24.39/4.34 % (643488)Instructions burned: 135 (million)
% 24.39/4.34 % (643544)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2440530485:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 24.39/4.34 % (643544)Refutation not found, incomplete strategy
% 24.39/4.34 % (643544)------------------------------
% 24.39/4.34 % (643544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.34 % (643544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.34 % (643544)CaDiCaL version: 2.1.3
% 24.39/4.34 % (643544)Termination reason: Refutation not found, incomplete strategy
% 24.39/4.34 % (643544)Time elapsed: 0.001 s
% 24.39/4.34 % (643544)Peak memory usage: 88 MB
% 24.39/4.34 % (643509)------------------------------
% 24.39/4.34 % (643509)------------------------------
% 24.39/4.34 % (643593)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1575005595:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 24.39/4.34 % (643345)First to succeed.
% 24.39/4.34 % (643345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-643238"
% 24.39/4.34 % (643544)------------------------------
% 24.39/4.34 % (643544)------------------------------
% 24.39/4.34 % (643595)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4237507192:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 24.39/4.34 % (643345)Refutation found. Thanks to Tanya!
% 24.39/4.34 % SZS status Theorem for theBenchmark
% 24.39/4.34 % SZS output start Proof for theBenchmark
% See solution above
% 25.07/4.53 % (643345)------------------------------
% 25.07/4.53 % (643345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.07/4.53 % (643345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/4.53 % (643345)CaDiCaL version: 2.1.3
% 25.07/4.53 % (643345)Termination reason: Refutation
% 25.07/4.53 % (643345)Time elapsed: 3.027 s
% 25.07/4.53 % (643345)Peak memory usage: 157 MB
% 25.07/4.53 % (643345)Instructions burned: 4059 (million)
% 25.07/4.53 % (643345)------------------------------
% 25.07/4.53 % (643345)------------------------------
% 25.07/4.53 % (643238)Success in time 3.463 s
% 25.07/4.53 % Vampire exiting
%------------------------------------------------------------------------------