%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL044+2 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:06 PM UTC 2026
% Result : Theorem 14.98s 3.42s
% Output : Refutation 18.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 14
% Syntax : Number of formulae : 195 ( 191 unt; 0 def)
% Number of atoms : 199 ( 198 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 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 : 322 ( 319 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(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(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(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( join(composition(complement(X0),X1),complement(X2)) = complement(X2)
=> join(composition(X2,converse(X1)),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(complement(X0),X1),complement(X2)) = complement(X2)
=> join(composition(X2,converse(X1)),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( join(composition(X2,converse(X1)),X0) != X0
& join(composition(complement(X0),X1),complement(X2)) = complement(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( sK0 != join(composition(sK2,converse(sK1)),sK0)
& complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
complement(sK2) = join(composition(complement(sK0),sK1),complement(sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
sK0 != join(composition(sK2,converse(sK1)),sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
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] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f25,f28]) ).
fof(f42,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f32,f28,f28,f28,f28,f28]) ).
fof(f43,plain,
zero = complement(top),
inference(forward_demodulation,[],[f39,f26]) ).
fof(f44,plain,
complement(sK2) = join(complement(sK2),composition(complement(sK0),sK1)),
inference(forward_demodulation,[],[f21,f24]) ).
fof(f45,plain,
sK0 != join(sK0,composition(sK2,converse(sK1))),
inference(forward_demodulation,[],[f22,f24]) ).
fof(f67,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f29,f24]) ).
fof(f68,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f29,f24]) ).
fof(f71,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f67,f24]) ).
fof(f101,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f37,f38]) ).
fof(f102,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f37,f38]) ).
fof(f107,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f33,f38]) ).
fof(f108,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f33,f38]) ).
fof(f110,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f34,f33]) ).
fof(f127,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f108,f35]) ).
fof(f128,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f127,f38]) ).
fof(f137,plain,
one = converse(one),
inference(superposition,[],[f35,f128]) ).
fof(f141,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f128,f137]) ).
fof(f155,plain,
! [X0] : join(complement(sK2),join(composition(complement(sK0),sK1),X0)) = join(complement(sK2),X0),
inference(superposition,[],[f23,f44]) ).
fof(f156,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f23,f29]) ).
fof(f163,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f24,f23]) ).
fof(f164,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f156,f163]) ).
fof(f283,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f29,f26]) ).
fof(f284,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[],[f164,f26]) ).
fof(f289,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f23,f26]) ).
fof(f290,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f101,f26]) ).
fof(f296,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f284,f24]) ).
fof(f297,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f283,f43]) ).
fof(f303,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f296,f289]) ).
fof(f312,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f289,f71]) ).
fof(f316,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f289,f26]) ).
fof(f334,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f312,f303]) ).
fof(f341,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(X0,top),
inference(forward_demodulation,[],[f334,f316]) ).
fof(f344,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X0,top),
inference(forward_demodulation,[],[f341,f24]) ).
fof(f349,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f27,f38]) ).
fof(f354,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f27,f128]) ).
fof(f365,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f354,f24]) ).
fof(f370,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f349,f24]) ).
fof(f374,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f365,f141]) ).
fof(f389,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,[],[f164,f374]) ).
fof(f390,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f289,f374]) ).
fof(f400,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f390,f26]) ).
fof(f401,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f389,f68]) ).
fof(f461,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f401,f26]) ).
fof(f462,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f401,f401]) ).
fof(f470,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f164,f401]) ).
fof(f485,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f470,f24]) ).
fof(f490,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f461,f43]) ).
fof(f543,plain,
join(complement(sK2),complement(composition(complement(sK0),sK1))) = join(complement(sK2),top),
inference(superposition,[],[f155,f26]) ).
fof(f558,plain,
join(complement(sK2),complement(composition(complement(sK0),sK1))) = join(top,complement(sK2)),
inference(forward_demodulation,[],[f543,f24]) ).
fof(f560,plain,
top = join(complement(sK2),complement(composition(complement(sK0),sK1))),
inference(forward_demodulation,[],[f558,f400]) ).
fof(f645,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(X1,complement(X0))),
inference(superposition,[],[f163,f374]) ).
fof(f755,plain,
! [X0] : join(X0,zero) = join(complement(join(complement(X0),X0)),X0),
inference(superposition,[],[f164,f297]) ).
fof(f761,plain,
! [X0] : join(X0,zero) = join(X0,complement(join(complement(X0),X0))),
inference(forward_demodulation,[],[f755,f24]) ).
fof(f764,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f761,f485]) ).
fof(f765,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f764,f490]) ).
fof(f989,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f485,f24]) ).
fof(f990,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(top,X0))),
inference(superposition,[],[f485,f289]) ).
fof(f998,plain,
! [X0] : join(X0,X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f485,f290]) ).
fof(f1011,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f29,f485]) ).
fof(f1037,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f1011,f289]) ).
fof(f1044,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(forward_demodulation,[],[f998,f765]) ).
fof(f1051,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(forward_demodulation,[],[f990,f765]) ).
fof(f1052,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f989,f765]) ).
fof(f1074,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f1037,f374]) ).
fof(f1090,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1074,f1051]) ).
fof(f1113,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f68,f1090]) ).
fof(f1116,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f71,f1090]) ).
fof(f1120,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(superposition,[],[f297,f1090]) ).
fof(f1129,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1120,f765]) ).
fof(f1137,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1129,f1090]) ).
fof(f1219,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f71,f1113]) ).
fof(f1244,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1219,f24]) ).
fof(f1286,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1244,f24]) ).
fof(f1317,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1286,f23]) ).
fof(f1339,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1317,f1052]) ).
fof(f1352,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1339,f1090]) ).
fof(f1361,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1352,f24]) ).
fof(f1364,plain,
! [X2,X0,X1] : join(X1,complement(join(X2,X0))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1352,f163]) ).
fof(f1368,plain,
! [X0,X1] : join(X0,complement(complement(join(complement(X0),X1)))) = join(X0,complement(join(X0,X0))),
inference(superposition,[],[f1352,f485]) ).
fof(f1371,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1352,f290]) ).
fof(f1406,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f163,f1352]) ).
fof(f1410,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(join(X0,X1),X2)))),
inference(superposition,[],[f23,f1352]) ).
fof(f1411,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f1410,f23]) ).
fof(f1441,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1371,f1044]) ).
fof(f1443,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,complement(complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f1368,f1352]) ).
fof(f1448,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f1411,f1364]) ).
fof(f1467,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1443,f1090]) ).
fof(f1471,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(X2))) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f1448,f23]) ).
fof(f1487,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f1467,f344]) ).
fof(f1496,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1487,f26]) ).
fof(f1520,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f24,f1496]) ).
fof(f1571,plain,
top = converse(top),
inference(superposition,[],[f290,f1520]) ).
fof(f1633,plain,
! [X2,X0,X1] : join(X2,join(X0,complement(X1))) = join(X0,join(complement(join(X1,X0)),X2)),
inference(superposition,[],[f163,f1361]) ).
fof(f1793,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f101,f1441]) ).
fof(f1795,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1793,f38]) ).
fof(f1900,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1116,f24]) ).
fof(f1966,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f71,f1116]) ).
fof(f1999,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1966,f24]) ).
fof(f2061,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1999,f24]) ).
fof(f2111,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2061,f23]) ).
fof(f2150,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(complement(X1)))))),
inference(forward_demodulation,[],[f2111,f1471]) ).
fof(f2182,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2150,f462]) ).
fof(f2204,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2182,f1090]) ).
fof(f2883,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(join(complement(join(X1,X0)),join(complement(X1),X0))),join(X2,complement(complement(X0)))),
inference(superposition,[],[f164,f1900]) ).
fof(f2924,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(complement(join(X1,X0)),join(complement(X1),X0))),X2)),
inference(forward_demodulation,[],[f2883,f163]) ).
fof(f2996,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(X0,join(complement(join(X1,X0)),complement(X1)))),X2)),
inference(forward_demodulation,[],[f2924,f163]) ).
fof(f3056,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(complement(X1),join(X0,complement(X1)))),X2)),
inference(forward_demodulation,[],[f2996,f1633]) ).
fof(f3101,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(X0,complement(X1))),X2)),
inference(forward_demodulation,[],[f3056,f645]) ).
fof(f3134,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(X0,complement(X1))),X2)),
inference(forward_demodulation,[],[f3101,f1090]) ).
fof(f3163,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f3134,f1406]) ).
fof(f3186,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,X1)),
inference(forward_demodulation,[],[f3163,f1090]) ).
fof(f4532,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f110,f33]) ).
fof(f4553,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f4532,f37]) ).
fof(f4572,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f4553,f37]) ).
fof(f4582,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f4572,f33]) ).
fof(f4612,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f38,f4582]) ).
fof(f4627,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4612,f38]) ).
fof(f4699,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f2204,f4627]) ).
fof(f5719,plain,
! [X2,X0,X1] : composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2))))) = join(complement(join(complement(composition(X1,converse(X0))),complement(X2))),composition(complement(join(complement(X1),complement(composition(X2,X0)))),complement(join(complement(converse(X0)),complement(composition(converse(X1),X2)))))),
inference(superposition,[],[f42,f38]) ).
fof(f7267,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(complement(composition(X0,complement(X1))),composition(X0,X1)),
inference(superposition,[],[f4699,f26]) ).
fof(f7395,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f7267,f24]) ).
fof(f7514,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(join(composition(X0,X1),complement(composition(X0,top)))),complement(join(composition(X0,X1),complement(complement(composition(X0,complement(X1))))))),
inference(superposition,[],[f1113,f7395]) ).
fof(f7534,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(join(composition(X0,X1),complement(composition(X0,top)))),complement(join(composition(X0,X1),composition(X0,complement(X1))))),
inference(forward_demodulation,[],[f7514,f1090]) ).
fof(f7561,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(join(composition(X0,X1),complement(composition(X0,top)))),complement(composition(X0,join(X1,complement(X1))))),
inference(forward_demodulation,[],[f7534,f4627]) ).
fof(f7576,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(join(composition(X0,X1),complement(composition(X0,top)))),complement(composition(X0,top))),
inference(forward_demodulation,[],[f7561,f26]) ).
fof(f7588,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(composition(X0,top)),complement(join(composition(X0,X1),complement(composition(X0,top))))),
inference(forward_demodulation,[],[f7576,f24]) ).
fof(f7599,plain,
! [X0,X1] : complement(composition(X0,X1)) = join(complement(composition(X0,top)),complement(composition(X0,X1))),
inference(forward_demodulation,[],[f7588,f1361]) ).
fof(f7615,plain,
! [X0] : complement(X0) = join(complement(composition(X0,top)),complement(X0)),
inference(superposition,[],[f7599,f35]) ).
fof(f7705,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(forward_demodulation,[],[f7615,f24]) ).
fof(f7803,plain,
zero = join(zero,complement(composition(top,top))),
inference(superposition,[],[f7705,f43]) ).
fof(f7875,plain,
zero = complement(composition(top,top)),
inference(forward_demodulation,[],[f7803,f1129]) ).
fof(f8441,plain,
! [X0] : complement(X0) = join(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f1795,f1090]) ).
fof(f8584,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(superposition,[],[f8441,f38]) ).
fof(f8587,plain,
! [X0] : converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(superposition,[],[f102,f8441]) ).
fof(f8630,plain,
! [X0] : converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[],[f8587,f24]) ).
fof(f8643,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(forward_demodulation,[],[f8630,f8584]) ).
fof(f8686,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(superposition,[],[f101,f8643]) ).
fof(f8688,plain,
! [X0,X1] : composition(complement(X0),converse(X1)) = converse(composition(X1,complement(converse(X0)))),
inference(superposition,[],[f107,f8643]) ).
fof(f8743,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(composition(converse(X1),converse(X0)))))),
inference(superposition,[],[f8686,f370]) ).
fof(f8825,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(forward_demodulation,[],[f8743,f33]) ).
fof(f8863,plain,
! [X0,X1] : converse(complement(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f8825,f8688]) ).
fof(f8894,plain,
! [X0,X1] : complement(converse(converse(X0))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f8863,f8643]) ).
fof(f8917,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(forward_demodulation,[],[f8894,f38]) ).
fof(f9680,plain,
! [X2,X0,X1] : join(X2,complement(join(join(X0,X1),X2))) = join(complement(join(X1,X0)),X2),
inference(superposition,[],[f2204,f3186]) ).
fof(f9697,plain,
! [X2,X0,X1] : join(X2,complement(join(X0,X1))) = join(complement(join(X1,X0)),X2),
inference(forward_demodulation,[],[f9680,f1361]) ).
fof(f14076,plain,
complement(top) = join(complement(top),composition(zero,converse(top))),
inference(superposition,[],[f8917,f7875]) ).
fof(f14184,plain,
complement(top) = join(complement(top),composition(zero,top)),
inference(forward_demodulation,[],[f14076,f1571]) ).
fof(f14230,plain,
zero = join(zero,composition(zero,top)),
inference(forward_demodulation,[],[f14184,f43]) ).
fof(f14264,plain,
zero = composition(zero,top),
inference(forward_demodulation,[],[f14230,f1137]) ).
fof(f14318,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,join(top,X0)),
inference(superposition,[],[f4627,f14264]) ).
fof(f14336,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,top),
inference(forward_demodulation,[],[f14318,f1520]) ).
fof(f14353,plain,
! [X0] : zero = join(zero,composition(zero,X0)),
inference(forward_demodulation,[],[f14336,f14264]) ).
fof(f14369,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f14353,f1137]) ).
fof(f15993,plain,
composition(complement(top),complement(join(complement(converse(sK1)),complement(composition(converse(sK2),complement(sK0)))))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),composition(complement(top),complement(join(complement(converse(sK1)),complement(composition(converse(sK2),complement(sK0))))))),
inference(superposition,[],[f5719,f560]) ).
fof(f16119,plain,
composition(zero,complement(join(complement(converse(sK1)),complement(composition(converse(sK2),complement(sK0)))))) = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),composition(zero,complement(join(complement(converse(sK1)),complement(composition(converse(sK2),complement(sK0))))))),
inference(forward_demodulation,[],[f15993,f43]) ).
fof(f16196,plain,
zero = join(complement(join(complement(composition(sK2,converse(sK1))),complement(complement(sK0)))),zero),
inference(forward_demodulation,[],[f16119,f14369]) ).
fof(f16252,plain,
zero = join(zero,complement(join(complement(complement(sK0)),complement(composition(sK2,converse(sK1)))))),
inference(forward_demodulation,[],[f16196,f9697]) ).
fof(f16299,plain,
zero = complement(join(complement(complement(sK0)),complement(composition(sK2,converse(sK1))))),
inference(forward_demodulation,[],[f16252,f1129]) ).
fof(f16337,plain,
zero = complement(join(sK0,complement(composition(sK2,converse(sK1))))),
inference(forward_demodulation,[],[f16299,f1090]) ).
fof(f16446,plain,
join(sK0,complement(complement(composition(sK2,converse(sK1))))) = join(sK0,zero),
inference(superposition,[],[f1352,f16337]) ).
fof(f16564,plain,
sK0 = join(sK0,complement(complement(composition(sK2,converse(sK1))))),
inference(forward_demodulation,[],[f16446,f490]) ).
fof(f16618,plain,
sK0 = join(sK0,composition(sK2,converse(sK1))),
inference(forward_demodulation,[],[f16564,f1090]) ).
fof(f16666,plain,
$false,
inference(forward_subsumption_resolution,[],[f16618,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL044+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:52:20 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 Running first-order theorem proving
% 0.18/0.42 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
% 15.91/3.14 % (3047844)Detected formulas, will run a generic FOF schedule.
% 15.91/3.14 % (3047954)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=680522553:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.91/3.14 % (3047953)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3690744239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.91/3.14 % (3047950)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=690901216:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.91/3.14 % (3047951)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=1316558234:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.91/3.14 % (3047952)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=3577653988:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.91/3.14 % (3047954)Instruction limit reached!
% 15.91/3.14 % (3047954)------------------------------
% 15.91/3.14 % (3047954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.14 % (3047954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.14 % (3047954)CaDiCaL version: 2.1.3
% 15.91/3.14 % (3047954)Termination reason: Instruction limit
% 15.91/3.14 % (3047954)Termination phase: Saturation
% 15.91/3.14 % (3047954)Time elapsed: 0.037 s
% 15.91/3.14 % (3047954)Peak memory usage: 88 MB
% 15.91/3.14 % (3047954)Instructions burned: 123 (million)
% 15.91/3.14 % (3047956)dis-21_1_sil=8000:lcm=predicate:random_seed=1478050224: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)
% 15.91/3.14 % (3047956)Refutation not found, incomplete strategy
% 15.91/3.14 % (3047956)------------------------------
% 15.91/3.14 % (3047956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.14 % (3047956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.14 % (3047956)CaDiCaL version: 2.1.3
% 15.91/3.14 % (3047956)Termination reason: Refutation not found, incomplete strategy
% 15.91/3.14 % (3047956)Time elapsed: 0.002 s
% 15.91/3.14 % (3047956)Peak memory usage: 88 MB
% 15.91/3.14 % (3047956)Instructions burned: 1 (million)
% 15.91/3.14 % (3047955)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1245145042:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.91/3.14 % (3047953)Instruction limit reached!
% 15.91/3.14 % (3047953)------------------------------
% 15.91/3.14 % (3047953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.14 % (3047953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.14 % (3047953)CaDiCaL version: 2.1.3
% 15.91/3.14 % (3047953)Termination reason: Instruction limit
% 15.91/3.14 % (3047953)Termination phase: Saturation
% 15.91/3.14 % (3047953)Time elapsed: 0.066 s
% 15.91/3.14 % (3047953)Peak memory usage: 89 MB
% 15.91/3.14 % (3047953)Instructions burned: 109 (million)
% 15.91/3.14 % (3047966)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895502518:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 15.91/3.14 % (3047955)Instruction limit reached!
% 15.91/3.14 % (3047955)------------------------------
% 15.91/3.14 % (3047955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.14 % (3047955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.14 % (3047955)CaDiCaL version: 2.1.3
% 15.91/3.14 % (3047955)Termination reason: Instruction limit
% 15.91/3.14 % (3047955)Termination phase: Saturation
% 15.91/3.14 % (3047955)Time elapsed: 0.085 s
% 15.91/3.14 % (3047955)Peak memory usage: 90 MB
% 15.91/3.14 % (3047955)Instructions burned: 141 (million)
% 15.91/3.14 % (3047966)Instruction limit reached!
% 15.91/3.14 % (3047966)------------------------------
% 15.91/3.14 % (3047966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.14 % (3047966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.14 % (3047966)CaDiCaL version: 2.1.3
% 15.91/3.14 % (3047966)Termination reason: Instruction limit
% 15.91/3.14 % (3047966)Termination phase: Saturation
% 15.91/3.14 % (3047966)Time elapsed: 0.092 s
% 15.91/3.14 % (3047966)Peak memory usage: 91 MB
% 15.91/3.14 % (3047966)Instructions burned: 285 (million)
% 14.98/3.42 % (3047978)lrs+10_1_sil=32000:urr=on:br=off:random_seed=198129009:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.98/3.42 % (3047956)------------------------------
% 14.98/3.42 % (3047956)------------------------------
% 14.98/3.42 % (3047980)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2171568549:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.98/3.42 % (3047978)Instruction limit reached!
% 14.98/3.42 % (3047978)------------------------------
% 14.98/3.42 % (3047978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047978)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047978)Termination reason: Instruction limit
% 14.98/3.42 % (3047978)Termination phase: Saturation
% 14.98/3.42 % (3047978)Time elapsed: 0.100 s
% 14.98/3.42 % (3047978)Peak memory usage: 90 MB
% 14.98/3.42 % (3047978)Instructions burned: 159 (million)
% 14.98/3.42 % (3047981)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=3587578269:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.98/3.42 % (3047981)Instruction limit reached!
% 14.98/3.42 % (3047981)------------------------------
% 14.98/3.42 % (3047981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047981)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047981)Termination reason: Instruction limit
% 14.98/3.42 % (3047981)Termination phase: Saturation
% 14.98/3.42 % (3047981)Time elapsed: 0.084 s
% 14.98/3.42 % (3047981)Peak memory usage: 92 MB
% 14.98/3.42 % (3047981)Instructions burned: 251 (million)
% 14.98/3.42 % (3047984)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3942606101:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.98/3.42 % (3047980)Instruction limit reached!
% 14.98/3.42 % (3047980)------------------------------
% 14.98/3.42 % (3047980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047980)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047980)Termination reason: Instruction limit
% 14.98/3.42 % (3047980)Termination phase: Saturation
% 14.98/3.42 % (3047980)Time elapsed: 0.194 s
% 14.98/3.42 % (3047980)Peak memory usage: 92 MB
% 14.98/3.42 % (3047980)Instructions burned: 327 (million)
% 14.98/3.42 % (3047986)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2650294391:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.98/3.42 % (3047988)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1513282428:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.98/3.42 % (3047988)Instruction limit reached!
% 14.98/3.42 % (3047988)------------------------------
% 14.98/3.42 % (3047988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047988)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047988)Termination reason: Instruction limit
% 14.98/3.42 % (3047988)Termination phase: Saturation
% 14.98/3.42 % (3047988)Time elapsed: 0.036 s
% 14.98/3.42 % (3047988)Peak memory usage: 90 MB
% 14.98/3.42 % (3047988)Instructions burned: 115 (million)
% 14.98/3.42 % (3047984)Instruction limit reached!
% 14.98/3.42 % (3047984)------------------------------
% 14.98/3.42 % (3047984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047984)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047984)Termination reason: Instruction limit
% 14.98/3.42 % (3047984)Termination phase: Saturation
% 14.98/3.42 % (3047984)Time elapsed: 0.163 s
% 14.98/3.42 % (3047984)Peak memory usage: 90 MB
% 14.98/3.42 % (3047984)Instructions burned: 295 (million)
% 14.98/3.42 % (3047989)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4268022138:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.98/3.42 % (3047989)Refutation not found, incomplete strategy
% 14.98/3.42 % (3047989)------------------------------
% 14.98/3.42 % (3047989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047989)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047989)Termination reason: Refutation not found, incomplete strategy
% 14.98/3.42 % (3047989)Time elapsed: 0.002 s
% 14.98/3.42 % (3047989)Peak memory usage: 88 MB
% 14.98/3.42 % (3047989)Instructions burned: 1 (million)
% 14.98/3.42 % (3047993)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1513041341:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.98/3.42 % (3047993)Instruction limit reached!
% 14.98/3.42 % (3047993)------------------------------
% 14.98/3.42 % (3047993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3047993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3047993)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3047993)Termination reason: Instruction limit
% 14.98/3.42 % (3047993)Termination phase: Saturation
% 14.98/3.42 % (3047993)Time elapsed: 0.037 s
% 14.98/3.42 % (3047993)Peak memory usage: 89 MB
% 14.98/3.42 % (3047993)Instructions burned: 114 (million)
% 14.98/3.42 % (3048001)lrs+10_1_sil=8000:sp=occurrence:random_seed=336444771:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 14.98/3.42 % (3048012)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3546722765:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 14.98/3.42 % (3047989)------------------------------
% 14.98/3.42 % (3047989)------------------------------
% 14.98/3.42 % (3048012)Instruction limit reached!
% 14.98/3.42 % (3048012)------------------------------
% 14.98/3.42 % (3048012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3048012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3048012)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3048012)Termination reason: Instruction limit
% 14.98/3.42 % (3048012)Termination phase: Saturation
% 14.98/3.42 % (3048012)Time elapsed: 0.177 s
% 14.98/3.42 % (3048012)Peak memory usage: 91 MB
% 14.98/3.42 % (3048012)Instructions burned: 438 (million)
% 14.98/3.42 % (3048023)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2965380873:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.98/3.42 % (3048021)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1633570862:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 14.98/3.42 % (3048023)Refutation not found, incomplete strategy
% 14.98/3.42 % (3048023)------------------------------
% 14.98/3.42 % (3048023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3048023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3048023)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3048023)Termination reason: Refutation not found, incomplete strategy
% 14.98/3.42 % (3048023)Time elapsed: 0.001 s
% 14.98/3.42 % (3048023)Peak memory usage: 89 MB
% 14.98/3.42 % (3048023)Instructions burned: 1 (million)
% 14.98/3.42 % (3048023)------------------------------
% 14.98/3.42 % (3048023)------------------------------
% 14.98/3.42 % (3048001)Instruction limit reached!
% 14.98/3.42 % (3048001)------------------------------
% 14.98/3.42 % (3048001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3048001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3048001)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3048001)Termination reason: Instruction limit
% 14.98/3.42 % (3048001)Termination phase: Saturation
% 14.98/3.42 % (3048001)Time elapsed: 0.895 s
% 14.98/3.42 % (3048001)Peak memory usage: 98 MB
% 14.98/3.42 % (3048001)Instructions burned: 908 (million)
% 14.98/3.42 % (3048035)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3567489443:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 14.98/3.42 % (3047951)First to succeed.
% 14.98/3.42 % (3047951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3047844"
% 14.98/3.42 % (3048037)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2813623656:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 14.98/3.42 % (3048035)Instruction limit reached!
% 14.98/3.42 % (3048035)------------------------------
% 14.98/3.42 % (3048035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.98/3.42 % (3048035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/3.42 % (3048035)CaDiCaL version: 2.1.3
% 14.98/3.42 % (3048035)Termination reason: Instruction limit
% 14.98/3.42 % (3048035)Termination phase: Saturation
% 14.98/3.42 % (3048035)Time elapsed: 0.276 s
% 14.98/3.42 % (3048035)Peak memory usage: 91 MB
% 14.98/3.42 % (3048035)Instructions burned: 593 (million)
% 14.98/3.42 % (3048044)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=1894583261:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 14.98/3.42 % (3047951)Refutation found. Thanks to Tanya!
% 14.98/3.42 % SZS status Theorem for theBenchmark
% 14.98/3.42 % SZS output start Proof for theBenchmark
% See solution above
% 18.65/3.67 % (3047951)------------------------------
% 18.65/3.67 % (3047951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.65/3.67 % (3047951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.65/3.67 % (3047951)CaDiCaL version: 2.1.3
% 18.65/3.67 % (3047951)Termination reason: Refutation
% 18.65/3.67 % (3047951)Time elapsed: 1.965 s
% 18.65/3.67 % (3047951)Peak memory usage: 139 MB
% 18.65/3.67 % (3047951)Instructions burned: 2191 (million)
% 18.65/3.67 % (3047951)------------------------------
% 18.65/3.67 % (3047951)------------------------------
% 18.65/3.67 % (3047844)Success in time 2.553 s
% 18.65/3.67 % Vampire exiting
%------------------------------------------------------------------------------