%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL029+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:33:54 PM UTC 2026
% Result : Theorem 16.68s 5.92s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 13
% Syntax : Number of formulae : 222 ( 217 unt; 0 def)
% Number of atoms : 232 ( 231 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 378 ( 372 !; 6 ?)
% 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> meet(composition(X0,X2),composition(X1,X2)) = composition(meet(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> meet(composition(X0,X2),composition(X1,X2)) = composition(meet(X0,X1),X2) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( meet(composition(X0,X2),composition(X1,X2)) != composition(meet(X0,X1),X2)
& join(X0,one) = one
& join(X1,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( meet(composition(X0,X2),composition(X1,X2)) != composition(meet(X0,X1),X2)
& join(X0,one) = one
& join(X1,one) = one ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( meet(composition(sK0,sK2),composition(sK1,sK2)) != composition(meet(sK0,sK1),sK2)
& one = join(sK0,one)
& one = join(sK1,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17]) ).
fof(f19,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f18]) ).
fof(f20,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
meet(composition(sK0,sK2),composition(sK1,sK2)) != composition(meet(sK0,sK1),sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(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(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != composition(complement(join(complement(sK0),complement(sK1))),sK2),
inference(definition_unfolding,[],[f21,f29,f29]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f29]) ).
fof(f36,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f24,f26]) ).
fof(f37,plain,
one = join(one,sK1),
inference(forward_demodulation,[],[f19,f26]) ).
fof(f38,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f20,f26]) ).
fof(f40,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f36,f36]) ).
fof(f41,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,[],[f40,f26]) ).
fof(f42,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,[],[f41,f26]) ).
fof(f43,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,[],[f42,f25]) ).
fof(f50,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f36,f26]) ).
fof(f91,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f22,f31]) ).
fof(f102,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f91,f31]) ).
fof(f107,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f102,f28]) ).
fof(f109,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f107,f28]) ).
fof(f111,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f109,f31]) ).
fof(f132,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f33,f111]) ).
fof(f134,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f31,f33]) ).
fof(f135,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f31,f33]) ).
fof(f137,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f28,f33]) ).
fof(f139,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f132,f33]) ).
fof(f140,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f139,f32]) ).
fof(f151,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f140,f38]) ).
fof(f152,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK1)),
inference(superposition,[],[f140,f37]) ).
fof(f180,plain,
! [X0] : join(X0,composition(X0,sK1)) = X0,
inference(forward_demodulation,[],[f152,f32]) ).
fof(f181,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f151,f32]) ).
fof(f244,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f27,f33]) ).
fof(f252,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[],[f26,f27]) ).
fof(f257,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f244,f26]) ).
fof(f308,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f134,f32]) ).
fof(f322,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f308,f33]) ).
fof(f337,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f25,f36]) ).
fof(f343,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(composition(converse(X1),complement(composition(X1,X0))),join(complement(X0),X2)),
inference(superposition,[],[f25,f27]) ).
fof(f354,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f359,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f343,f354]) ).
fof(f385,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f337,f50]) ).
fof(f406,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f385,f26]) ).
fof(f538,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f22,f322]) ).
fof(f547,plain,
one = converse(one),
inference(superposition,[],[f32,f322]) ).
fof(f563,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f538,f547]) ).
fof(f730,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f137,f181]) ).
fof(f731,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK1))),
inference(superposition,[],[f137,f180]) ).
fof(f746,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK1),X0)),
inference(forward_demodulation,[],[f731,f134]) ).
fof(f747,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f730,f134]) ).
fof(f754,plain,
! [X0] : join(X0,composition(converse(sK1),X0)) = X0,
inference(forward_demodulation,[],[f746,f33]) ).
fof(f755,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f747,f33]) ).
fof(f781,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f140,f755]) ).
fof(f784,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f781,f32]) ).
fof(f795,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f784,f32]) ).
fof(f821,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK1),one))),
inference(superposition,[],[f140,f754]) ).
fof(f824,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK1))),
inference(forward_demodulation,[],[f821,f32]) ).
fof(f835,plain,
! [X0] : join(X0,composition(X0,converse(sK1))) = X0,
inference(forward_demodulation,[],[f824,f32]) ).
fof(f864,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f137,f795]) ).
fof(f865,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,converse(converse(X0)))),
inference(forward_demodulation,[],[f864,f135]) ).
fof(f883,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f865,f33]) ).
fof(f899,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f25,f883]) ).
fof(f927,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f899,f139]) ).
fof(f1097,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK1)))),
inference(superposition,[],[f137,f835]) ).
fof(f1098,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK1,converse(converse(X0)))),
inference(forward_demodulation,[],[f1097,f135]) ).
fof(f1118,plain,
! [X0] : join(X0,composition(sK1,X0)) = X0,
inference(forward_demodulation,[],[f1098,f33]) ).
fof(f1136,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK1,X0),X1)),
inference(superposition,[],[f25,f1118]) ).
fof(f1167,plain,
! [X0,X1] : join(X0,composition(sK1,X1)) = join(X0,composition(sK1,join(X0,X1))),
inference(superposition,[],[f1136,f139]) ).
fof(f1369,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = join(complement(X0),composition(sK1,complement(X0))),
inference(superposition,[],[f1136,f359]) ).
fof(f1380,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = composition(join(one,sK1),complement(X0)),
inference(forward_demodulation,[],[f1369,f563]) ).
fof(f1398,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = composition(one,complement(X0)),
inference(forward_demodulation,[],[f1380,f37]) ).
fof(f1403,plain,
! [X0] : complement(X0) = composition(one,complement(X0)),
inference(forward_demodulation,[],[f1398,f252]) ).
fof(f1408,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f257,f1403]) ).
fof(f1423,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1408,f322]) ).
fof(f1435,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(complement(X0)))))),
inference(superposition,[],[f43,f1423]) ).
fof(f1438,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,[],[f337,f1423]) ).
fof(f1439,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f50,f1423]) ).
fof(f1443,plain,
! [X0] : join(X0,complement(join(complement(complement(complement(X0))),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1439,f406]) ).
fof(f1444,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1438,f36]) ).
fof(f1447,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(X0),complement(complement(X0))))),
inference(forward_demodulation,[],[f1435,f1423]) ).
fof(f1455,plain,
! [X0] : join(X0,complement(join(complement(complement(X0)),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f1443,f26]) ).
fof(f1458,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f1447,f35]) ).
fof(f1465,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1455,f35]) ).
fof(f1468,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1458,f26]) ).
fof(f1512,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f1444,f43]) ).
fof(f1514,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1444,f1444]) ).
fof(f1581,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1512,f337]) ).
fof(f1585,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1512,f26]) ).
fof(f1649,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1581,f25]) ).
fof(f1674,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f337,f1514]) ).
fof(f1700,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f1674,f354]) ).
fof(f1710,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1700,f1649]) ).
fof(f1744,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1512,f1710]) ).
fof(f1749,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f36,f1710]) ).
fof(f1766,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f26,f1710]) ).
fof(f1771,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f354,f1710]) ).
fof(f1791,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f1465,f1710]) ).
fof(f1792,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1791,f1465]) ).
fof(f1818,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1749,f1710]) ).
fof(f1879,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = complement(zero),
inference(superposition,[],[f1792,f35]) ).
fof(f1894,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f50,f1792]) ).
fof(f1900,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1423,f1792]) ).
fof(f1914,plain,
! [X0] : join(X0,complement(X0)) = complement(zero),
inference(forward_demodulation,[],[f1879,f1766]) ).
fof(f1978,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f1585,f1792]) ).
fof(f2025,plain,
! [X0] : zero = complement(join(X0,complement(zero))),
inference(superposition,[],[f1468,f1585]) ).
fof(f2764,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(X0)),
inference(superposition,[],[f1978,f883]) ).
fof(f2767,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(composition(sK1,X0)),complement(X0)),
inference(superposition,[],[f1978,f1118]) ).
fof(f2789,plain,
complement(sK1) = join(complement(sK1),complement(one)),
inference(superposition,[],[f1978,f37]) ).
fof(f2839,plain,
complement(sK1) = join(complement(one),complement(sK1)),
inference(forward_demodulation,[],[f2789,f26]) ).
fof(f2854,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(X0),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f2767,f26]) ).
fof(f2857,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f2764,f26]) ).
fof(f2957,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f1710,f2857]) ).
fof(f3028,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(X0,complement(composition(sK1,complement(X0)))),
inference(superposition,[],[f1710,f2854]) ).
fof(f3519,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f50,f1818]) ).
fof(f3530,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f3519,f1710]) ).
fof(f3602,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f3530,f1766]) ).
fof(f3651,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f3602,f25]) ).
fof(f3686,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3651,f1585]) ).
fof(f3737,plain,
! [X0,X1] : join(X1,complement(complement(complement(X0)))) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f3686,f1766]) ).
fof(f3746,plain,
! [X0,X1] : join(X0,complement(composition(sK0,join(X0,X1)))) = join(X0,complement(join(X0,composition(sK0,X1)))),
inference(superposition,[],[f3686,f927]) ).
fof(f3749,plain,
! [X0,X1] : join(X0,complement(composition(sK1,join(X0,X1)))) = join(X0,complement(join(X0,composition(sK1,X1)))),
inference(superposition,[],[f3686,f1167]) ).
fof(f3787,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f354,f3686]) ).
fof(f3872,plain,
! [X0,X1] : join(X0,complement(composition(sK1,join(X0,X1)))) = join(X0,complement(composition(sK1,X1))),
inference(forward_demodulation,[],[f3749,f3686]) ).
fof(f3875,plain,
! [X0,X1] : join(X0,complement(composition(sK0,join(X0,X1)))) = join(X0,complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f3746,f3686]) ).
fof(f3883,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3737,f1766]) ).
fof(f4283,plain,
! [X0,X1] : join(X0,complement(composition(sK0,join(X0,complement(X1))))) = join(X0,complement(composition(sK0,complement(join(X0,X1))))),
inference(superposition,[],[f3875,f3686]) ).
fof(f4423,plain,
! [X0,X1] : join(X0,complement(composition(sK0,complement(join(X0,X1))))) = join(X0,complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f4283,f3875]) ).
fof(f4521,plain,
! [X0,X1] : join(X0,complement(composition(sK1,join(X0,complement(X1))))) = join(X0,complement(composition(sK1,complement(join(X0,X1))))),
inference(superposition,[],[f3872,f3686]) ).
fof(f4665,plain,
! [X0,X1] : join(X0,complement(composition(sK1,complement(join(X0,X1))))) = join(X0,complement(composition(sK1,complement(X1)))),
inference(forward_demodulation,[],[f4521,f3872]) ).
fof(f4753,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f3883,f26]) ).
fof(f5423,plain,
! [X2,X0,X1] : join(X1,complement(composition(sK0,complement(join(X2,X0))))) = join(X1,complement(composition(sK0,complement(join(X0,join(X1,X2)))))),
inference(superposition,[],[f4423,f354]) ).
fof(f5496,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK0,complement(X2)))) = join(X0,join(X1,complement(composition(sK0,complement(join(join(X0,X1),X2)))))),
inference(superposition,[],[f25,f4423]) ).
fof(f5535,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK0,complement(X2)))) = join(X0,join(X1,complement(composition(sK0,complement(join(X0,join(X1,X2))))))),
inference(forward_demodulation,[],[f5496,f25]) ).
fof(f5609,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK0,complement(X2)))) = join(X0,join(X1,complement(composition(sK0,complement(join(X2,X0)))))),
inference(forward_demodulation,[],[f5535,f5423]) ).
fof(f5655,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(composition(sK0,complement(join(X2,X0)))))) = join(X0,join(X1,complement(composition(sK0,complement(X2))))),
inference(forward_demodulation,[],[f5609,f25]) ).
fof(f5802,plain,
! [X2,X0,X1] : join(X1,complement(composition(sK1,complement(join(X2,X0))))) = join(X1,complement(composition(sK1,complement(join(X0,join(X1,X2)))))),
inference(superposition,[],[f4665,f354]) ).
fof(f5863,plain,
! [X2,X0,X1] : join(X0,join(complement(composition(sK1,complement(join(X0,X1)))),X2)) = join(X2,join(X0,complement(composition(sK1,complement(X1))))),
inference(superposition,[],[f354,f4665]) ).
fof(f5877,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK1,complement(X2)))) = join(X0,join(X1,complement(composition(sK1,complement(join(join(X0,X1),X2)))))),
inference(superposition,[],[f25,f4665]) ).
fof(f5916,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK1,complement(X2)))) = join(X0,join(X1,complement(composition(sK1,complement(join(X0,join(X1,X2))))))),
inference(forward_demodulation,[],[f5877,f25]) ).
fof(f5992,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(composition(sK1,complement(X2)))) = join(X0,join(X1,complement(composition(sK1,complement(join(X2,X0)))))),
inference(forward_demodulation,[],[f5916,f5802]) ).
fof(f6040,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(composition(sK1,complement(join(X2,X0)))))) = join(X0,join(X1,complement(composition(sK1,complement(X2))))),
inference(forward_demodulation,[],[f5992,f25]) ).
fof(f7221,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1)))))),X2)),
inference(superposition,[],[f337,f1894]) ).
fof(f7262,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1)))))),X2)),
inference(forward_demodulation,[],[f7221,f1710]) ).
fof(f7386,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(join(X0,complement(X1)),complement(join(X1,X0)))),X2)),
inference(forward_demodulation,[],[f7262,f1766]) ).
fof(f7476,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(X0,join(complement(X1),complement(join(X1,X0))))),X2)),
inference(forward_demodulation,[],[f7386,f25]) ).
fof(f7545,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,complement(join(complement(X1),complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f7476,f3787]) ).
fof(f7597,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f7545,f1744]) ).
fof(f7624,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X2,X0)),
inference(forward_demodulation,[],[f7597,f1771]) ).
fof(f8140,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f7624,f1900]) ).
fof(f8161,plain,
! [X0,X1] : join(complement(composition(sK1,complement(X0))),X1) = join(X0,join(X1,complement(composition(sK1,complement(X0))))),
inference(superposition,[],[f7624,f3028]) ).
fof(f8305,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X0,join(complement(composition(sK1,complement(join(X0,X1)))),X1)),
inference(superposition,[],[f3028,f7624]) ).
fof(f8350,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X1,join(X0,complement(composition(sK1,complement(X1))))),
inference(forward_demodulation,[],[f8305,f5863]) ).
fof(f8463,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(complement(composition(sK1,complement(X1))),X0),
inference(forward_demodulation,[],[f8350,f8161]) ).
fof(f8665,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(join(X1,X0),complement(X0)))),
inference(superposition,[],[f1894,f8140]) ).
fof(f8714,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(X1,join(X0,complement(X0))))),
inference(forward_demodulation,[],[f8665,f25]) ).
fof(f8792,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(X1,complement(zero)))),
inference(forward_demodulation,[],[f8714,f1914]) ).
fof(f8846,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),zero),
inference(forward_demodulation,[],[f8792,f2025]) ).
fof(f8882,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f8846,f26]) ).
fof(f8903,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f8882,f1468]) ).
fof(f9083,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(join(X1,X0),complement(composition(sK0,complement(join(X0,X1))))),
inference(superposition,[],[f2957,f8903]) ).
fof(f9084,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(join(X1,X0),complement(composition(sK1,complement(join(X0,X1))))),
inference(superposition,[],[f3028,f8903]) ).
fof(f9085,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X1,join(X0,complement(composition(sK1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f9084,f25]) ).
fof(f9086,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,join(X0,complement(composition(sK0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f9083,f25]) ).
fof(f9149,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X1,join(X0,complement(composition(sK1,complement(X0))))),
inference(forward_demodulation,[],[f9085,f6040]) ).
fof(f9150,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,join(X0,complement(composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f9086,f5655]) ).
fof(f9175,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X1,complement(composition(sK1,complement(X0)))),
inference(forward_demodulation,[],[f9149,f3028]) ).
fof(f9176,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X1,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f9150,f2957]) ).
fof(f9265,plain,
! [X0] : complement(composition(sK0,complement(complement(composition(sK1,X0))))) = join(complement(composition(sK1,X0)),complement(composition(sK0,complement(complement(X0))))),
inference(superposition,[],[f9176,f2854]) ).
fof(f9267,plain,
complement(composition(sK0,complement(complement(sK1)))) = join(complement(sK1),complement(composition(sK0,complement(complement(one))))),
inference(superposition,[],[f9176,f2839]) ).
fof(f9280,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X0,complement(composition(sK0,complement(X1)))),
inference(superposition,[],[f9176,f8903]) ).
fof(f9360,plain,
complement(composition(sK0,complement(complement(sK1)))) = join(complement(sK1),complement(composition(sK0,one))),
inference(forward_demodulation,[],[f9267,f1792]) ).
fof(f9362,plain,
! [X0] : complement(composition(sK0,complement(complement(composition(sK1,X0))))) = join(complement(composition(sK1,X0)),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f9265,f1792]) ).
fof(f9420,plain,
complement(composition(sK0,complement(complement(sK1)))) = join(complement(sK1),complement(sK0)),
inference(forward_demodulation,[],[f9360,f32]) ).
fof(f9422,plain,
! [X0] : complement(composition(sK0,complement(complement(composition(sK1,X0))))) = join(complement(composition(sK0,X0)),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f9362,f26]) ).
fof(f9462,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,complement(complement(sK1)))),
inference(forward_demodulation,[],[f9420,f26]) ).
fof(f9464,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = join(complement(composition(sK0,X0)),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f9422,f1792]) ).
fof(f9486,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,sK1)),
inference(forward_demodulation,[],[f9462,f1792]) ).
fof(f9568,plain,
! [X0] : complement(composition(sK1,complement(complement(composition(sK0,X0))))) = join(complement(composition(sK0,X0)),complement(composition(sK1,complement(complement(X0))))),
inference(superposition,[],[f9175,f2857]) ).
fof(f9584,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X0,complement(composition(sK1,complement(X1)))),
inference(superposition,[],[f9175,f8903]) ).
fof(f9667,plain,
! [X0] : complement(composition(sK1,complement(complement(composition(sK0,X0))))) = join(complement(composition(sK0,X0)),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f9568,f1792]) ).
fof(f9727,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = complement(composition(sK1,complement(complement(composition(sK0,X0))))),
inference(forward_demodulation,[],[f9667,f9464]) ).
fof(f9769,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = complement(composition(sK1,composition(sK0,X0))),
inference(forward_demodulation,[],[f9727,f1792]) ).
fof(f9874,plain,
! [X0] : complement(composition(sK0,complement(complement(composition(sK1,X0))))) = join(complement(X0),complement(composition(sK0,complement(complement(composition(sK1,X0)))))),
inference(superposition,[],[f9280,f2854]) ).
fof(f9971,plain,
! [X0] : complement(composition(sK0,composition(sK1,X0))) = join(complement(X0),complement(composition(sK0,composition(sK1,X0)))),
inference(forward_demodulation,[],[f9874,f1792]) ).
fof(f11498,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(X1,complement(composition(sK1,complement(complement(join(X1,X0)))))),
inference(superposition,[],[f9584,f4753]) ).
fof(f11699,plain,
! [X0,X1] : join(X1,complement(composition(sK1,join(X1,X0)))) = complement(composition(sK1,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f11498,f1792]) ).
fof(f11766,plain,
! [X0,X1] : join(X1,complement(composition(sK1,join(X1,X0)))) = join(complement(composition(sK1,complement(X1))),complement(X0)),
inference(forward_demodulation,[],[f11699,f8463]) ).
fof(f11806,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = join(complement(composition(sK1,complement(X1))),complement(X0)),
inference(forward_demodulation,[],[f11766,f3872]) ).
fof(f11978,plain,
! [X0,X1] : join(X0,complement(composition(sK1,X1))) = join(complement(X1),complement(composition(sK1,complement(X0)))),
inference(superposition,[],[f26,f11806]) ).
fof(f12579,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK1,X0))) = join(complement(X0),complement(composition(sK1,X1))),
inference(superposition,[],[f11978,f1792]) ).
fof(f12942,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(join(complement(sK2),complement(composition(sK1,composition(sK0,sK2))))),
inference(superposition,[],[f34,f12579]) ).
fof(f13022,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(join(complement(sK2),complement(composition(sK0,composition(sK1,sK2))))),
inference(forward_demodulation,[],[f12942,f9769]) ).
fof(f13119,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(complement(composition(sK0,composition(sK1,sK2)))),
inference(forward_demodulation,[],[f13022,f9971]) ).
fof(f13187,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != composition(sK0,composition(sK1,sK2)),
inference(forward_demodulation,[],[f13119,f1792]) ).
fof(f13227,plain,
composition(sK0,composition(sK1,sK2)) != composition(complement(complement(composition(sK0,sK1))),sK2),
inference(forward_demodulation,[],[f13187,f9486]) ).
fof(f13256,plain,
composition(sK0,composition(sK1,sK2)) != composition(composition(sK0,sK1),sK2),
inference(forward_demodulation,[],[f13227,f1792]) ).
fof(f13272,plain,
$false,
inference(forward_subsumption_resolution,[],[f13256,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL029+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:52:51 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 23.83/4.24 % (638876)Detected formulas, will run a generic FOF schedule.
% 23.83/4.24 % (638947)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1033551428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.83/4.24 % (638943)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=1027948363:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.83/4.24 % (638953)dis-21_1_sil=8000:lcm=predicate:random_seed=3621054245: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)
% 23.83/4.24 % (638953)Refutation not found, incomplete strategy
% 23.83/4.24 % (638953)------------------------------
% 23.83/4.24 % (638953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.24 % (638953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.24 % (638953)CaDiCaL version: 2.1.3
% 23.83/4.24 % (638953)Termination reason: Refutation not found, incomplete strategy
% 23.83/4.24 % (638953)Time elapsed: 0.003 s
% 23.83/4.24 % (638953)Peak memory usage: 88 MB
% 23.83/4.24 % (638953)Instructions burned: 1 (million)
% 23.83/4.24 % (638946)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=396178490:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.83/4.24 % (638945)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=1930162571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.83/4.24 % (638942)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=2187681195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.83/4.24 % (638947)Instruction limit reached!
% 23.83/4.24 % (638947)------------------------------
% 23.83/4.24 % (638947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.24 % (638947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.24 % (638947)CaDiCaL version: 2.1.3
% 23.83/4.24 % (638947)Termination reason: Instruction limit
% 23.83/4.24 % (638947)Termination phase: Saturation
% 23.83/4.24 % (638947)Time elapsed: 0.058 s
% 23.83/4.24 % (638947)Peak memory usage: 88 MB
% 23.83/4.24 % (638947)Instructions burned: 119 (million)
% 23.83/4.24 % (638951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2316853735:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.83/4.24 % (638946)Instruction limit reached!
% 23.83/4.24 % (638946)------------------------------
% 23.83/4.24 % (638946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.24 % (638946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.24 % (638946)CaDiCaL version: 2.1.3
% 23.83/4.24 % (638946)Termination reason: Instruction limit
% 23.83/4.24 % (638946)Termination phase: Saturation
% 23.83/4.24 % (638946)Time elapsed: 0.101 s
% 23.83/4.24 % (638946)Peak memory usage: 89 MB
% 23.83/4.24 % (638946)Instructions burned: 109 (million)
% 23.83/4.24 % (638951)Instruction limit reached!
% 23.83/4.24 % (638951)------------------------------
% 23.83/4.24 % (638951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.24 % (638951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.24 % (638951)CaDiCaL version: 2.1.3
% 23.83/4.24 % (638951)Termination reason: Instruction limit
% 23.83/4.24 % (638951)Termination phase: Saturation
% 23.83/4.24 % (638951)Time elapsed: 0.129 s
% 23.83/4.24 % (638951)Peak memory usage: 89 MB
% 23.83/4.24 % (638951)Instructions burned: 139 (million)
% 23.83/4.24 % (638970)lrs+10_1_sil=8000:sp=occurrence:random_seed=2047600305:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 23.83/4.24 % (638953)------------------------------
% 23.83/4.24 % (638953)------------------------------
% 23.83/4.24 % (638974)lrs+10_1_sil=32000:urr=on:br=off:random_seed=348879781:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 23.83/4.24 % (638974)Instruction limit reached!
% 23.83/4.24 % (638974)------------------------------
% 23.83/4.24 % (638974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.24 % (638974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.24 % (638974)CaDiCaL version: 2.1.3
% 23.83/4.24 % (638974)Termination reason: Instruction limit
% 34.26/5.80 % (638974)Termination phase: Saturation
% 34.26/5.80 % (638974)Time elapsed: 0.078 s
% 34.26/5.80 % (638974)Peak memory usage: 89 MB
% 34.26/5.80 % (638974)Instructions burned: 157 (million)
% 34.26/5.80 % (638977)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3278081541:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 34.26/5.80 % (638980)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=569101335:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 34.26/5.80 % (638970)Instruction limit reached!
% 34.26/5.80 % (638970)------------------------------
% 34.26/5.80 % (638970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638970)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638970)Termination reason: Instruction limit
% 34.26/5.80 % (638970)Termination phase: Saturation
% 34.26/5.80 % (638970)Time elapsed: 0.274 s
% 34.26/5.80 % (638970)Peak memory usage: 91 MB
% 34.26/5.80 % (638970)Instructions burned: 285 (million)
% 34.26/5.80 % (638983)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1929447177:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 34.26/5.80 % (638980)Instruction limit reached!
% 34.26/5.80 % (638980)------------------------------
% 34.26/5.80 % (638980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638980)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638980)Termination reason: Instruction limit
% 34.26/5.80 % (638980)Termination phase: Saturation
% 34.26/5.80 % (638980)Time elapsed: 0.232 s
% 34.26/5.80 % (638980)Peak memory usage: 91 MB
% 34.26/5.80 % (638980)Instructions burned: 249 (million)
% 34.26/5.80 % (638977)Instruction limit reached!
% 34.26/5.80 % (638977)------------------------------
% 34.26/5.80 % (638977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638977)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638977)Termination reason: Instruction limit
% 34.26/5.80 % (638977)Termination phase: Saturation
% 34.26/5.80 % (638977)Time elapsed: 0.315 s
% 34.26/5.80 % (638977)Peak memory usage: 91 MB
% 34.26/5.80 % (638977)Instructions burned: 325 (million)
% 34.26/5.80 % (638990)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2606010305:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 34.26/5.80 % (638983)Instruction limit reached!
% 34.26/5.80 % (638983)------------------------------
% 34.26/5.80 % (638983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638983)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638983)Termination reason: Instruction limit
% 34.26/5.80 % (638983)Termination phase: Saturation
% 34.26/5.80 % (638983)Time elapsed: 0.240 s
% 34.26/5.80 % (638983)Peak memory usage: 91 MB
% 34.26/5.80 % (638983)Instructions burned: 294 (million)
% 34.26/5.80 % (638994)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=508063928:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 34.26/5.80 % (638995)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2778891552:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 34.26/5.80 % (638995)Refutation not found, incomplete strategy
% 34.26/5.80 % (638995)------------------------------
% 34.26/5.80 % (638995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638995)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638995)Termination reason: Refutation not found, incomplete strategy
% 34.26/5.80 % (638995)Time elapsed: 0.002 s
% 34.26/5.80 % (638995)Peak memory usage: 88 MB
% 34.26/5.80 % (638994)Instruction limit reached!
% 34.26/5.80 % (638994)------------------------------
% 34.26/5.80 % (638994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.26/5.80 % (638994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.26/5.80 % (638994)CaDiCaL version: 2.1.3
% 34.26/5.80 % (638994)Termination reason: Instruction limit
% 34.26/5.80 % (638994)Termination phase: Saturation
% 34.26/5.80 % (638994)Time elapsed: 0.110 s
% 34.26/5.80 % (638994)Peak memory usage: 89 MB
% 16.68/5.92 % (638994)Instructions burned: 113 (million)
% 16.68/5.92 % (638997)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1472278375:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 16.68/5.92 % (638997)Instruction limit reached!
% 16.68/5.92 % (638997)------------------------------
% 16.68/5.92 % (638997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (638997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (638997)CaDiCaL version: 2.1.3
% 16.68/5.92 % (638997)Termination reason: Instruction limit
% 16.68/5.92 % (638997)Termination phase: Saturation
% 16.68/5.92 % (638997)Time elapsed: 0.110 s
% 16.68/5.92 % (638997)Peak memory usage: 89 MB
% 16.68/5.92 % (638997)Instructions burned: 114 (million)
% 16.68/5.92 % (638995)------------------------------
% 16.68/5.92 % (638995)------------------------------
% 16.68/5.92 % (639000)lrs+10_1_sil=8000:sp=occurrence:random_seed=2320613057:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 16.68/5.92 % (639004)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2703415348:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 16.68/5.92 % (639007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2305571851:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 16.68/5.92 % (639004)Instruction limit reached!
% 16.68/5.92 % (639004)------------------------------
% 16.68/5.92 % (639004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639004)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639004)Termination reason: Instruction limit
% 16.68/5.92 % (639004)Termination phase: Saturation
% 16.68/5.92 % (639004)Time elapsed: 0.367 s
% 16.68/5.92 % (639004)Peak memory usage: 89 MB
% 16.68/5.92 % (639004)Instructions burned: 438 (million)
% 16.68/5.92 % (639015)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4087262149:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 16.68/5.92 % (639015)Refutation not found, incomplete strategy
% 16.68/5.92 % (639015)------------------------------
% 16.68/5.92 % (639015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639015)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639015)Termination reason: Refutation not found, incomplete strategy
% 16.68/5.92 % (639015)Time elapsed: 0.003 s
% 16.68/5.92 % (639015)Peak memory usage: 89 MB
% 16.68/5.92 % (639015)Instructions burned: 1 (million)
% 16.68/5.92 % (639000)Instruction limit reached!
% 16.68/5.92 % (639000)------------------------------
% 16.68/5.92 % (639000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639000)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639000)Termination reason: Instruction limit
% 16.68/5.92 % (639000)Termination phase: Saturation
% 16.68/5.92 % (639000)Time elapsed: 0.847 s
% 16.68/5.92 % (639000)Peak memory usage: 96 MB
% 16.68/5.92 % (639000)Instructions burned: 907 (million)
% 16.68/5.92 % (639019)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3670537282:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 16.68/5.92 % (639015)------------------------------
% 16.68/5.92 % (639015)------------------------------
% 16.68/5.92 % (639021)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1767546077:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 16.68/5.92 % (639019)Instruction limit reached!
% 16.68/5.92 % (639019)------------------------------
% 16.68/5.92 % (639019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639019)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639019)Termination reason: Instruction limit
% 16.68/5.92 % (639019)Termination phase: Saturation
% 16.68/5.92 % (639019)Time elapsed: 0.530 s
% 16.68/5.92 % (639019)Peak memory usage: 94 MB
% 16.68/5.92 % (639019)Instructions burned: 592 (million)
% 16.68/5.92 % (638990)Instruction limit reached!
% 16.68/5.92 % (638990)------------------------------
% 16.68/5.92 % (638990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (638990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (638990)CaDiCaL version: 2.1.3
% 16.68/5.92 % (638990)Termination reason: Instruction limit
% 16.68/5.92 % (638990)Termination phase: Saturation
% 16.68/5.92 % (638990)Time elapsed: 2.321 s
% 16.68/5.92 % (638990)Peak memory usage: 141 MB
% 16.68/5.92 % (638990)Instructions burned: 2350 (million)
% 16.68/5.92 % (639024)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=2708039291:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 16.68/5.92 % (639025)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3397871530:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 16.68/5.92 % (639024)Instruction limit reached!
% 16.68/5.92 % (639024)------------------------------
% 16.68/5.92 % (639024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639024)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639024)Termination reason: Instruction limit
% 16.68/5.92 % (639024)Termination phase: Saturation
% 16.68/5.92 % (639024)Time elapsed: 0.129 s
% 16.68/5.92 % (639024)Peak memory usage: 90 MB
% 16.68/5.92 % (639024)Instructions burned: 125 (million)
% 16.68/5.92 % (639025)Instruction limit reached!
% 16.68/5.92 % (639025)------------------------------
% 16.68/5.92 % (639025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639025)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639025)Termination reason: Instruction limit
% 16.68/5.92 % (639025)Termination phase: Saturation
% 16.68/5.92 % (639025)Time elapsed: 0.128 s
% 16.68/5.92 % (639025)Peak memory usage: 89 MB
% 16.68/5.92 % (639025)Instructions burned: 135 (million)
% 16.68/5.92 % (639032)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1947105947:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 16.68/5.92 % (639032)Refutation not found, incomplete strategy
% 16.68/5.92 % (639032)------------------------------
% 16.68/5.92 % (639032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639032)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639032)Termination reason: Refutation not found, incomplete strategy
% 16.68/5.92 % (639032)Time elapsed: 0.002 s
% 16.68/5.92 % (639032)Peak memory usage: 88 MB
% 16.68/5.92 % (639033)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2213664735:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 16.68/5.92 % (639033)Refutation not found, incomplete strategy
% 16.68/5.92 % (639033)------------------------------
% 16.68/5.92 % (639033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639033)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639033)Termination reason: Refutation not found, incomplete strategy
% 16.68/5.92 % (639033)Time elapsed: 0.002 s
% 16.68/5.92 % (639033)Peak memory usage: 88 MB
% 16.68/5.92 % (639033)Instructions burned: 1 (million)
% 16.68/5.92 % (639032)------------------------------
% 16.68/5.92 % (639032)------------------------------
% 16.68/5.92 % (639033)------------------------------
% 16.68/5.92 % (639033)------------------------------
% 16.68/5.92 % (639036)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=2954251099:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 16.68/5.92 % (639021)First to succeed.
% 16.68/5.92 % (639021)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-638876"
% 16.68/5.92 % (639037)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=1957737282:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 16.68/5.92 % (639037)Instruction limit reached!
% 16.68/5.92 % (639037)------------------------------
% 16.68/5.92 % (639037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.68/5.92 % (639037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/5.92 % (639037)CaDiCaL version: 2.1.3
% 16.68/5.92 % (639037)Termination reason: Instruction limit
% 16.68/5.92 % (639037)Termination phase: Saturation
% 16.68/5.92 % (639037)Time elapsed: 0.148 s
% 16.68/5.92 % (639037)Peak memory usage: 90 MB
% 16.68/5.92 % (639037)Instructions burned: 151 (million)
% 16.68/5.92 % (639021)Refutation found. Thanks to Tanya!
% 16.68/5.92 % SZS status Theorem for theBenchmark
% 16.68/5.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/6.21 % (639021)------------------------------
% 0.18/6.21 % (639021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/6.21 % (639021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/6.21 % (639021)CaDiCaL version: 2.1.3
% 0.18/6.21 % (639021)Termination reason: Refutation
% 0.18/6.21 % (639021)Time elapsed: 1.627 s
% 0.18/6.21 % (639021)Peak memory usage: 140 MB
% 0.18/6.21 % (639021)Instructions burned: 2267 (million)
% 0.18/6.21 % (639021)------------------------------
% 0.18/6.21 % (639021)------------------------------
% 0.18/6.21 % (638876)Success in time 5.048 s
% 0.18/6.21 % Vampire exiting
%------------------------------------------------------------------------------