%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL029+3 : 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 : n018.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 12:33:55 PM UTC 2026
% Result : Theorem 27.18s 4.94s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 154 ( 149 unt; 0 def)
% Number of atoms : 164 ( 163 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 248 ( 242 !; 6 ?)
% 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(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
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(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,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)],[f17]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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,[],[f19]) ).
fof(f21,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)],[f20]) ).
fof(f22,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
meet(composition(sK0,sK2),composition(sK1,sK2)) != composition(meet(sK0,sK1),sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f28,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != composition(complement(join(complement(sK0),complement(sK1))),sK2),
inference(definition_unfolding,[],[f24,f32,f32]) ).
fof(f45,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f36,f32]) ).
fof(f46,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f33,f35]) ).
fof(f47,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f29,f35]) ).
fof(f50,plain,
one = join(one,sK1),
inference(forward_demodulation,[],[f22,f35]) ).
fof(f51,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f23,f35]) ).
fof(f61,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f30,f40]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f37,f40]) ).
fof(f63,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f37,f40]) ).
fof(f65,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f31,f37]) ).
fof(f72,plain,
! [X2,X0,X1] : converse(join(X2,composition(converse(X1),X0))) = join(converse(X2),composition(converse(X0),X1)),
inference(superposition,[],[f30,f63]) ).
fof(f82,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f63,f38]) ).
fof(f83,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f82,f40]) ).
fof(f91,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f31,f83]) ).
fof(f92,plain,
one = converse(one),
inference(superposition,[],[f38,f83]) ).
fof(f93,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f91,f92]) ).
fof(f121,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f183,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f46,f35]) ).
fof(f186,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f46,f35]) ).
fof(f253,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f39,f38]) ).
fof(f269,plain,
! [X0] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[],[f83,f253]) ).
fof(f270,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f269,f83]) ).
fof(f299,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f47,f83]) ).
fof(f304,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f299,f270]) ).
fof(f321,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f34,f304]) ).
fof(f342,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),X0) = X0,
inference(superposition,[],[f321,f183]) ).
fof(f353,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f342,f35]) ).
fof(f363,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f353,f304]) ).
fof(f634,plain,
! [X0] : composition(one,X0) = join(X0,composition(sK0,X0)),
inference(superposition,[],[f93,f51]) ).
fof(f635,plain,
! [X0] : composition(one,X0) = join(X0,composition(sK1,X0)),
inference(superposition,[],[f93,f50]) ).
fof(f668,plain,
! [X0] : join(X0,composition(sK1,X0)) = X0,
inference(forward_demodulation,[],[f635,f270]) ).
fof(f669,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f634,f270]) ).
fof(f684,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK1,X0),X1)),
inference(superposition,[],[f34,f668]) ).
fof(f710,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f34,f669]) ).
fof(f742,plain,
! [X0] : join(X0,composition(sK0,X0)) = join(X0,composition(sK1,composition(sK0,X0))),
inference(superposition,[],[f710,f668]) ).
fof(f760,plain,
! [X0] : join(X0,composition(sK1,composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f742,f669]) ).
fof(f772,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,composition(sK1,X1))),
inference(superposition,[],[f684,f35]) ).
fof(f1080,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f186,f45]) ).
fof(f1082,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(superposition,[],[f353,f45]) ).
fof(f1115,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1082,f35]) ).
fof(f1117,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f1080,f35]) ).
fof(f1133,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1117,f1115]) ).
fof(f1146,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1133,f363]) ).
fof(f1175,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f46,f1146]) ).
fof(f1183,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f186,f1146]) ).
fof(f1185,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f321,f1146]) ).
fof(f1186,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f353,f1146]) ).
fof(f1252,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f1185,f35]) ).
fof(f1514,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(composition(sK1,X0)),complement(X0)),
inference(superposition,[],[f1186,f668]) ).
fof(f1544,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f34,f1186]) ).
fof(f1567,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(X0),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f1514,f35]) ).
fof(f1651,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(join(X0,X1))))),
inference(superposition,[],[f1175,f1252]) ).
fof(f1713,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(X0,complement(X1))))))),
inference(superposition,[],[f46,f1175]) ).
fof(f1715,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,[],[f183,f1175]) ).
fof(f1725,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1715,f35]) ).
fof(f1727,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f1713,f1146]) ).
fof(f1766,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1725,f1146]) ).
fof(f1768,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(X1),join(complement(join(X0,X1)),X0)))),
inference(forward_demodulation,[],[f1727,f121]) ).
fof(f1789,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1766,f34]) ).
fof(f1791,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1768,f1544]) ).
fof(f1808,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1789,f353]) ).
fof(f1809,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1791,f1146]) ).
fof(f1822,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1808,f1146]) ).
fof(f1831,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1809,f1146]) ).
fof(f1871,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),complement(join(complement(join(complement(X1),X0)),complement(X0)))),
inference(superposition,[],[f183,f1809]) ).
fof(f1915,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),complement(join(complement(X0),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1871,f35]) ).
fof(f1966,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),complement(complement(X0))),
inference(forward_demodulation,[],[f1915,f1186]) ).
fof(f2006,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1966,f35]) ).
fof(f2027,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2006,f1146]) ).
fof(f2090,plain,
join(one,complement(one)) = join(complement(sK0),one),
inference(superposition,[],[f2027,f51]) ).
fof(f2162,plain,
join(one,complement(one)) = join(one,complement(sK0)),
inference(forward_demodulation,[],[f2090,f35]) ).
fof(f2203,plain,
top = join(one,complement(sK0)),
inference(forward_demodulation,[],[f2162,f28]) ).
fof(f4881,plain,
! [X2,X0,X1] : join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)) = converse(composition(join(converse(X0),converse(X1)),converse(X2))),
inference(superposition,[],[f72,f65]) ).
fof(f4904,plain,
! [X2,X0,X1] : join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)) = composition(X2,converse(join(converse(X0),converse(X1)))),
inference(forward_demodulation,[],[f4881,f62]) ).
fof(f4926,plain,
! [X2,X0,X1] : join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)) = composition(X2,join(X0,converse(converse(X1)))),
inference(forward_demodulation,[],[f4904,f61]) ).
fof(f4939,plain,
! [X2,X0,X1] : composition(X2,join(X0,X1)) = join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)),
inference(forward_demodulation,[],[f4926,f40]) ).
fof(f4947,plain,
! [X2,X0,X1] : composition(X2,join(X0,X1)) = join(converse(converse(composition(X2,X0))),composition(X2,X1)),
inference(forward_demodulation,[],[f4939,f40]) ).
fof(f4951,plain,
! [X2,X0,X1] : composition(X2,join(X0,X1)) = join(composition(X2,X0),composition(X2,X1)),
inference(forward_demodulation,[],[f4947,f40]) ).
fof(f4978,plain,
! [X0,X1] : join(X0,composition(sK1,X1)) = join(X0,composition(sK1,join(X0,X1))),
inference(superposition,[],[f684,f4951]) ).
fof(f4987,plain,
! [X0,X1] : join(X1,composition(sK1,join(X0,X1))) = join(X1,composition(sK1,X0)),
inference(superposition,[],[f772,f4951]) ).
fof(f5217,plain,
! [X0,X1] : join(X0,composition(sK1,join(X0,X1))) = join(X0,composition(sK1,complement(join(complement(X1),X0)))),
inference(superposition,[],[f4978,f1809]) ).
fof(f5232,plain,
! [X0,X1] : join(complement(X0),composition(sK1,complement(X0))) = join(complement(X0),composition(sK1,complement(join(X1,X0)))),
inference(superposition,[],[f4978,f1186]) ).
fof(f5327,plain,
! [X0,X1] : composition(join(one,sK1),complement(X0)) = join(complement(X0),composition(sK1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f5232,f93]) ).
fof(f5340,plain,
! [X0,X1] : join(X0,composition(sK1,X1)) = join(X0,composition(sK1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f5217,f4978]) ).
fof(f5364,plain,
! [X0,X1] : composition(one,complement(X0)) = join(complement(X0),composition(sK1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f5327,f50]) ).
fof(f5375,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(sK1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f5364,f270]) ).
fof(f5628,plain,
! [X0] : join(complement(X0),composition(sK1,X0)) = join(complement(X0),composition(sK1,top)),
inference(superposition,[],[f4987,f28]) ).
fof(f5660,plain,
join(complement(sK0),composition(sK1,one)) = join(complement(sK0),composition(sK1,top)),
inference(superposition,[],[f4987,f2203]) ).
fof(f5739,plain,
join(complement(sK0),composition(sK1,top)) = join(complement(sK0),sK1),
inference(forward_demodulation,[],[f5660,f38]) ).
fof(f5791,plain,
join(complement(sK0),composition(sK1,top)) = join(sK1,complement(sK0)),
inference(forward_demodulation,[],[f5739,f35]) ).
fof(f5825,plain,
join(sK1,complement(sK0)) = join(complement(sK0),composition(sK1,sK0)),
inference(forward_demodulation,[],[f5791,f5628]) ).
fof(f6307,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X1,X0)))) = join(complement(composition(sK1,complement(join(X1,X0)))),complement(complement(X0))),
inference(superposition,[],[f1186,f5375]) ).
fof(f6323,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X1,X0)))) = join(complement(complement(X0)),complement(composition(sK1,complement(join(X1,X0))))),
inference(forward_demodulation,[],[f6307,f35]) ).
fof(f6360,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X1,X0)))) = join(X0,complement(composition(sK1,complement(join(X1,X0))))),
inference(forward_demodulation,[],[f6323,f1146]) ).
fof(f6859,plain,
join(complement(sK0),complement(composition(sK1,sK0))) = join(complement(sK0),complement(join(sK1,complement(sK0)))),
inference(superposition,[],[f1822,f5825]) ).
fof(f6877,plain,
join(complement(sK0),complement(sK1)) = join(complement(sK0),complement(composition(sK1,sK0))),
inference(forward_demodulation,[],[f6859,f1831]) ).
fof(f6892,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK1,sK0)),
inference(forward_demodulation,[],[f6877,f1567]) ).
fof(f14012,plain,
! [X2,X0,X1] : join(X1,complement(join(X0,join(X1,X2)))) = join(complement(join(X2,X0)),X1),
inference(superposition,[],[f2027,f121]) ).
fof(f16416,plain,
! [X0,X1] : join(X0,complement(join(X0,composition(sK1,X1)))) = join(X0,complement(composition(sK1,complement(join(complement(X1),X0))))),
inference(superposition,[],[f1822,f5340]) ).
fof(f16430,plain,
! [X0,X1] : join(complement(join(complement(X0),composition(sK1,X1))),complement(join(complement(X0),complement(composition(sK1,complement(join(complement(X1),complement(X0)))))))) = X0,
inference(superposition,[],[f46,f5340]) ).
fof(f16481,plain,
! [X0,X1] : join(complement(join(complement(X0),composition(sK1,X1))),complement(complement(composition(sK1,complement(join(complement(X1),complement(X0))))))) = X0,
inference(forward_demodulation,[],[f16430,f6360]) ).
fof(f16491,plain,
! [X0,X1] : join(X0,complement(join(X0,composition(sK1,X1)))) = complement(composition(sK1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f16416,f6360]) ).
fof(f16609,plain,
! [X0,X1] : join(complement(join(complement(X0),composition(sK1,X1))),composition(sK1,complement(join(complement(X1),complement(X0))))) = X0,
inference(forward_demodulation,[],[f16481,f1146]) ).
fof(f16615,plain,
! [X0,X1] : join(X0,complement(composition(sK1,X1))) = complement(composition(sK1,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f16491,f1822]) ).
fof(f20055,plain,
! [X0,X1] : join(complement(join(complement(X0),composition(sK1,X1))),composition(sK1,complement(join(complement(X0),complement(X1))))) = X0,
inference(superposition,[],[f16609,f35]) ).
fof(f21817,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),complement(X1))))) = join(complement(join(composition(sK1,complement(join(complement(X0),complement(X1)))),join(complement(X0),composition(sK1,X1)))),complement(X0)),
inference(superposition,[],[f1183,f20055]) ).
fof(f21878,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),complement(X1))))) = join(complement(X0),complement(join(composition(sK1,complement(join(complement(X0),complement(X1)))),join(complement(X0),composition(sK1,X1))))),
inference(forward_demodulation,[],[f21817,f35]) ).
fof(f21984,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),complement(X1))))) = join(complement(join(composition(sK1,X1),composition(sK1,complement(join(complement(X0),complement(X1)))))),complement(X0)),
inference(forward_demodulation,[],[f21878,f14012]) ).
fof(f22070,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),complement(X1))))) = join(complement(X0),complement(join(composition(sK1,X1),composition(sK1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f21984,f35]) ).
fof(f22138,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),complement(X1))))) = join(complement(X0),complement(composition(sK1,join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f22070,f4951]) ).
fof(f22190,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK1,X1))) = complement(composition(sK1,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f22138,f353]) ).
fof(f22231,plain,
! [X0,X1] : join(complement(X0),complement(composition(sK1,X1))) = join(complement(X1),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f22190,f16615]) ).
fof(f35851,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = join(complement(X0),complement(join(composition(sK1,composition(sK0,X0)),complement(X0)))),
inference(superposition,[],[f1651,f760]) ).
fof(f35967,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = join(complement(X0),complement(composition(sK1,composition(sK0,X0)))),
inference(forward_demodulation,[],[f35851,f1831]) ).
fof(f39685,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(join(complement(sK2),complement(composition(sK1,composition(sK0,sK2))))),
inference(superposition,[],[f41,f22231]) ).
fof(f39809,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != complement(complement(composition(sK1,composition(sK0,sK2)))),
inference(forward_demodulation,[],[f39685,f35967]) ).
fof(f39922,plain,
composition(complement(join(complement(sK0),complement(sK1))),sK2) != composition(sK1,composition(sK0,sK2)),
inference(forward_demodulation,[],[f39809,f1146]) ).
fof(f39978,plain,
composition(sK1,composition(sK0,sK2)) != composition(complement(complement(composition(sK1,sK0))),sK2),
inference(forward_demodulation,[],[f39922,f6892]) ).
fof(f40019,plain,
composition(sK1,composition(sK0,sK2)) != composition(composition(sK1,sK0),sK2),
inference(forward_demodulation,[],[f39978,f1146]) ).
fof(f40042,plain,
$false,
inference(forward_subsumption_resolution,[],[f40019,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL029+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:56:09 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 17.73/3.59 % (2824567)Detected formulas, will run a generic FOF schedule.
% 17.73/3.59 % (2824573)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=2313250373:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.73/3.59 % (2824574)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=2478249045:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.73/3.59 % (2824572)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=3021063507:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.73/3.59 % (2824575)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3471724834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.73/3.59 % (2824577)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=180348517:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.73/3.59 % (2824576)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4197653035:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.73/3.59 % (2824578)dis-21_1_sil=8000:lcm=predicate:random_seed=2297676635: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)
% 17.73/3.59 % (2824578)Refutation not found, incomplete strategy
% 17.73/3.59 % (2824578)------------------------------
% 17.73/3.59 % (2824578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.59 % (2824578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.59 % (2824578)CaDiCaL version: 2.1.3
% 17.73/3.59 % (2824578)Termination reason: Refutation not found, incomplete strategy
% 17.73/3.59 % (2824578)Time elapsed: 0.003 s
% 17.73/3.59 % (2824578)Peak memory usage: 88 MB
% 17.73/3.59 % (2824578)Instructions burned: 1 (million)
% 17.73/3.59 % (2824575)Instruction limit reached!
% 17.73/3.59 % (2824575)------------------------------
% 17.73/3.59 % (2824575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.59 % (2824575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.59 % (2824575)CaDiCaL version: 2.1.3
% 17.73/3.59 % (2824575)Termination reason: Instruction limit
% 17.73/3.59 % (2824575)Termination phase: Saturation
% 17.73/3.59 % (2824575)Time elapsed: 0.056 s
% 17.73/3.59 % (2824575)Peak memory usage: 88 MB
% 17.73/3.59 % (2824575)Instructions burned: 110 (million)
% 17.73/3.59 % (2824576)Instruction limit reached!
% 17.73/3.59 % (2824576)------------------------------
% 17.73/3.59 % (2824576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.59 % (2824576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.59 % (2824576)CaDiCaL version: 2.1.3
% 17.73/3.59 % (2824576)Termination reason: Instruction limit
% 17.73/3.59 % (2824576)Termination phase: Saturation
% 17.73/3.59 % (2824576)Time elapsed: 0.111 s
% 17.73/3.59 % (2824576)Peak memory usage: 88 MB
% 17.73/3.59 % (2824576)Instructions burned: 119 (million)
% 17.73/3.59 % (2824577)Instruction limit reached!
% 17.73/3.59 % (2824577)------------------------------
% 17.73/3.59 % (2824577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.59 % (2824577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.59 % (2824577)CaDiCaL version: 2.1.3
% 17.73/3.59 % (2824577)Termination reason: Instruction limit
% 17.73/3.59 % (2824577)Termination phase: Saturation
% 17.73/3.59 % (2824577)Time elapsed: 0.139 s
% 17.73/3.59 % (2824577)Peak memory usage: 90 MB
% 17.73/3.59 % (2824577)Instructions burned: 139 (million)
% 17.73/3.59 % (2824586)lrs+10_1_sil=8000:sp=occurrence:random_seed=4113812933:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 17.73/3.59 % (2824587)lrs+10_1_sil=32000:urr=on:br=off:random_seed=37443205:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.73/3.59 % (2824578)------------------------------
% 17.73/3.59 % (2824578)------------------------------
% 17.73/3.59 % (2824588)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3658566634:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.73/3.59 % (2824587)Instruction limit reached!
% 17.73/3.59 % (2824587)------------------------------
% 17.73/3.59 % (2824587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824587)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824587)Termination reason: Instruction limit
% 24.86/4.55 % (2824587)Termination phase: Saturation
% 24.86/4.55 % (2824587)Time elapsed: 0.153 s
% 24.86/4.55 % (2824587)Peak memory usage: 89 MB
% 24.86/4.55 % (2824587)Instructions burned: 157 (million)
% 24.86/4.55 % (2824588)Instruction limit reached!
% 24.86/4.55 % (2824588)------------------------------
% 24.86/4.55 % (2824588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824588)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824588)Termination reason: Instruction limit
% 24.86/4.55 % (2824588)Termination phase: Saturation
% 24.86/4.55 % (2824588)Time elapsed: 0.172 s
% 24.86/4.55 % (2824588)Peak memory usage: 92 MB
% 24.86/4.55 % (2824588)Instructions burned: 326 (million)
% 24.86/4.55 % (2824586)Instruction limit reached!
% 24.86/4.55 % (2824586)------------------------------
% 24.86/4.55 % (2824586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824586)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824586)Termination reason: Instruction limit
% 24.86/4.55 % (2824586)Termination phase: Saturation
% 24.86/4.55 % (2824586)Time elapsed: 0.291 s
% 24.86/4.55 % (2824586)Peak memory usage: 91 MB
% 24.86/4.55 % (2824586)Instructions burned: 285 (million)
% 24.86/4.55 % (2824592)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=1903310762:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 24.86/4.55 % (2824593)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3935722171:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 24.86/4.55 % (2824594)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1739082788:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 24.86/4.55 % (2824595)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1640655819:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 24.86/4.55 % (2824592)Instruction limit reached!
% 24.86/4.55 % (2824592)------------------------------
% 24.86/4.55 % (2824592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824592)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824592)Termination reason: Instruction limit
% 24.86/4.55 % (2824592)Termination phase: Saturation
% 24.86/4.55 % (2824592)Time elapsed: 0.249 s
% 24.86/4.55 % (2824592)Peak memory usage: 91 MB
% 24.86/4.55 % (2824592)Instructions burned: 248 (million)
% 24.86/4.55 % (2824595)Instruction limit reached!
% 24.86/4.55 % (2824595)------------------------------
% 24.86/4.55 % (2824595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824595)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824595)Termination reason: Instruction limit
% 24.86/4.55 % (2824595)Termination phase: Saturation
% 24.86/4.55 % (2824595)Time elapsed: 0.111 s
% 24.86/4.55 % (2824595)Peak memory usage: 89 MB
% 24.86/4.55 % (2824595)Instructions burned: 115 (million)
% 24.86/4.55 % (2824593)Instruction limit reached!
% 24.86/4.55 % (2824593)------------------------------
% 24.86/4.55 % (2824593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.86/4.55 % (2824593)CaDiCaL version: 2.1.3
% 24.86/4.55 % (2824593)Termination reason: Instruction limit
% 24.86/4.55 % (2824593)Termination phase: Saturation
% 24.86/4.55 % (2824593)Time elapsed: 0.285 s
% 24.86/4.55 % (2824593)Peak memory usage: 90 MB
% 24.86/4.55 % (2824593)Instructions burned: 295 (million)
% 24.86/4.55 % (2824600)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=503010151:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 24.86/4.55 % (2824600)Refutation not found, incomplete strategy
% 24.86/4.55 % (2824600)------------------------------
% 24.86/4.55 % (2824600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.86/4.55 % (2824600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824600)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824600)Termination reason: Refutation not found, incomplete strategy
% 27.18/4.94 % (2824600)Time elapsed: 0.002 s
% 27.18/4.94 % (2824600)Peak memory usage: 88 MB
% 27.18/4.94 % (2824600)Instructions burned: 1 (million)
% 27.18/4.94 % (2824601)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4078158451:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 27.18/4.94 % (2824602)lrs+10_1_sil=8000:sp=occurrence:random_seed=966193016:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 27.18/4.94 % (2824601)Instruction limit reached!
% 27.18/4.94 % (2824601)------------------------------
% 27.18/4.94 % (2824601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824601)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824601)Termination reason: Instruction limit
% 27.18/4.94 % (2824601)Termination phase: Saturation
% 27.18/4.94 % (2824601)Time elapsed: 0.110 s
% 27.18/4.94 % (2824601)Peak memory usage: 89 MB
% 27.18/4.94 % (2824601)Instructions burned: 114 (million)
% 27.18/4.94 % (2824600)------------------------------
% 27.18/4.94 % (2824600)------------------------------
% 27.18/4.94 % (2824606)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3019468030:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 27.18/4.94 % (2824607)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1250509952:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 27.18/4.94 % (2824606)Instruction limit reached!
% 27.18/4.94 % (2824606)------------------------------
% 27.18/4.94 % (2824606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824606)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824606)Termination reason: Instruction limit
% 27.18/4.94 % (2824606)Termination phase: Saturation
% 27.18/4.94 % (2824606)Time elapsed: 0.217 s
% 27.18/4.94 % (2824606)Peak memory usage: 89 MB
% 27.18/4.94 % (2824606)Instructions burned: 439 (million)
% 27.18/4.94 % (2824594)Instruction limit reached!
% 27.18/4.94 % (2824594)------------------------------
% 27.18/4.94 % (2824594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824594)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824594)Termination reason: Instruction limit
% 27.18/4.94 % (2824594)Termination phase: Saturation
% 27.18/4.94 % (2824594)Time elapsed: 1.180 s
% 27.18/4.94 % (2824594)Peak memory usage: 142 MB
% 27.18/4.94 % (2824594)Instructions burned: 2352 (million)
% 27.18/4.94 % (2824602)Instruction limit reached!
% 27.18/4.94 % (2824602)------------------------------
% 27.18/4.94 % (2824602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824602)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824602)Termination reason: Instruction limit
% 27.18/4.94 % (2824602)Termination phase: Saturation
% 27.18/4.94 % (2824602)Time elapsed: 0.692 s
% 27.18/4.94 % (2824602)Peak memory usage: 98 MB
% 27.18/4.94 % (2824602)Instructions burned: 907 (million)
% 27.18/4.94 % (2824644)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=357669020:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 27.18/4.94 % (2824644)Refutation not found, incomplete strategy
% 27.18/4.94 % (2824644)------------------------------
% 27.18/4.94 % (2824644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824644)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824644)Termination reason: Refutation not found, incomplete strategy
% 27.18/4.94 % (2824644)Time elapsed: 0.002 s
% 27.18/4.94 % (2824644)Peak memory usage: 88 MB
% 27.18/4.94 % (2824644)Instructions burned: 1 (million)
% 27.18/4.94 % (2824656)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3044618570:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 27.18/4.94 % (2824676)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=503791207:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 27.18/4.94 % (2824656)Instruction limit reached!
% 27.18/4.94 % (2824656)------------------------------
% 27.18/4.94 % (2824656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824656)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824656)Termination reason: Instruction limit
% 27.18/4.94 % (2824656)Termination phase: Saturation
% 27.18/4.94 % (2824656)Time elapsed: 0.181 s
% 27.18/4.94 % (2824656)Peak memory usage: 93 MB
% 27.18/4.94 % (2824656)Instructions burned: 593 (million)
% 27.18/4.94 % (2824644)------------------------------
% 27.18/4.94 % (2824644)------------------------------
% 27.18/4.94 % (2824735)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=701642894:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 27.18/4.94 % (2824735)Instruction limit reached!
% 27.18/4.94 % (2824735)------------------------------
% 27.18/4.94 % (2824735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824735)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824735)Termination reason: Instruction limit
% 27.18/4.94 % (2824735)Termination phase: Saturation
% 27.18/4.94 % (2824735)Time elapsed: 0.046 s
% 27.18/4.94 % (2824735)Peak memory usage: 91 MB
% 27.18/4.94 % (2824735)Instructions burned: 128 (million)
% 27.18/4.94 % (2824765)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1349700030:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 27.18/4.94 % (2824765)Instruction limit reached!
% 27.18/4.94 % (2824765)------------------------------
% 27.18/4.94 % (2824765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824765)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824765)Termination reason: Instruction limit
% 27.18/4.94 % (2824765)Termination phase: Saturation
% 27.18/4.94 % (2824765)Time elapsed: 0.077 s
% 27.18/4.94 % (2824765)Peak memory usage: 89 MB
% 27.18/4.94 % (2824765)Instructions burned: 134 (million)
% 27.18/4.94 % (2824771)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1081315604:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 27.18/4.94 % (2824771)Refutation not found, incomplete strategy
% 27.18/4.94 % (2824771)------------------------------
% 27.18/4.94 % (2824771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824771)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824771)Termination reason: Refutation not found, incomplete strategy
% 27.18/4.94 % (2824771)Time elapsed: 0.001 s
% 27.18/4.94 % (2824771)Peak memory usage: 88 MB
% 27.18/4.94 % (2824773)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3276019814:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 27.18/4.94 % (2824773)Refutation not found, incomplete strategy
% 27.18/4.94 % (2824773)------------------------------
% 27.18/4.94 % (2824773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824773)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824773)Termination reason: Refutation not found, incomplete strategy
% 27.18/4.94 % (2824773)Time elapsed: 0.002 s
% 27.18/4.94 % (2824773)Peak memory usage: 88 MB
% 27.18/4.94 % (2824773)Instructions burned: 1 (million)
% 27.18/4.94 % (2824771)------------------------------
% 27.18/4.94 % (2824771)------------------------------
% 27.18/4.94 % (2824773)------------------------------
% 27.18/4.94 % (2824773)------------------------------
% 27.18/4.94 % (2824776)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=4051635145:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 27.18/4.94 % (2824777)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=4016279358:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 27.18/4.94 % (2824777)Instruction limit reached!
% 27.18/4.94 % (2824777)------------------------------
% 27.18/4.94 % (2824777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.18/4.94 % (2824777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.18/4.94 % (2824777)CaDiCaL version: 2.1.3
% 27.18/4.94 % (2824777)Termination reason: Instruction limit
% 27.18/4.94 % (2824777)Termination phase: Saturation
% 27.18/4.94 % (2824777)Time elapsed: 0.088 s
% 27.18/4.94 % (2824777)Peak memory usage: 90 MB
% 27.18/4.94 % (2824777)Instructions burned: 150 (million)
% 27.18/4.94 % (2824780)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4045101811:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 27.18/4.94 % (2824607)First to succeed.
% 27.18/4.94 % (2824607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2824567"
% 27.18/4.94 % (2824607)Refutation found. Thanks to Tanya!
% 27.18/4.94 % SZS status Theorem for theBenchmark
% 27.18/4.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/5.13 % (2824607)------------------------------
% 0.21/5.13 % (2824607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/5.13 % (2824607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/5.13 % (2824607)CaDiCaL version: 2.1.3
% 0.21/5.13 % (2824607)Termination reason: Refutation
% 0.21/5.13 % (2824607)Time elapsed: 1.648 s
% 0.21/5.13 % (2824607)Peak memory usage: 157 MB
% 0.21/5.13 % (2824607)Instructions burned: 4038 (million)
% 0.21/5.14 % (2824607)------------------------------
% 0.21/5.14 % (2824607)------------------------------
% 0.21/5.14 % (2824567)Success in time 3.981 s
% 0.21/5.14 % Vampire exiting
%------------------------------------------------------------------------------