%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL034+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:34:00 PM UTC 2026
% Result : Theorem 18.17s 3.50s
% Output : Refutation 18.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 26
% Syntax : Number of formulae : 220 ( 216 unt; 13 def)
% Number of atoms : 224 ( 223 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 239 ( 236 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( composition(meet(X1,converse(X0)),meet(X0,X2)) != join(composition(X1,meet(X0,X2)),composition(meet(X1,converse(X0)),meet(X0,X2)))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(sK1,meet(sK0,sK2)),composition(meet(sK1,converse(sK0)),meet(sK0,sK2)))
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(sK1,meet(sK0,sK2)),composition(meet(sK1,converse(sK0)),meet(sK0,sK2))),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != join(composition(sK1,complement(join(complement(sK0),complement(sK2)))),composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2))))),
inference(definition_unfolding,[],[f32,f21,f21,f21,f21,f21]) ).
fof(f35,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f50,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f52,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f54,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF13 = composition(sK1,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f56,plain,
composition(sK1,sF11) = sF13,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF14 = join(sF13,sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f58,plain,
join(sF13,sF12) = sF14,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF12 != sF14,
inference(definition_folding,[],[f34,f58,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36,f56,f52,f50,f48,f46,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f60,definition,
sF15 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f61,plain,
composition(sK0,top) = sF15,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
sK0 = sF15,
inference(definition_folding,[],[f31,f61]) ).
fof(f63,plain,
sF14 = join(sF12,sF13),
inference(forward_demodulation,[],[f58,f18]) ).
fof(f64,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f77,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f140,plain,
! [X0] : composition(join(sK1,X0),sF11) = join(sF13,composition(X0,sF11)),
inference(superposition,[],[f24,f56]) ).
fof(f145,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f147,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f159,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f161,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f165,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f159,f18]) ).
fof(f229,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f28,f25]) ).
fof(f230,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f28,f27]) ).
fof(f253,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f230,f18]) ).
fof(f254,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f229,f18]) ).
fof(f257,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f253,f25]) ).
fof(f271,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f275,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f289,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f291,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f275,f289]) ).
fof(f382,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f496,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[],[f291,f29]) ).
fof(f502,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f291,f165]) ).
fof(f512,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f502,f18]) ).
fof(f514,plain,
! [X0,X1] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f496,f18]) ).
fof(f535,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f514,f271]) ).
fof(f597,plain,
! [X0] : join(X0,complement(join(zero,X0))) = join(top,complement(join(complement(X0),top))),
inference(superposition,[],[f512,f382]) ).
fof(f661,plain,
! [X0] : join(top,complement(top)) = join(X0,complement(join(zero,X0))),
inference(forward_demodulation,[],[f597,f535]) ).
fof(f689,plain,
! [X0] : top = join(X0,complement(join(zero,X0))),
inference(forward_demodulation,[],[f661,f29]) ).
fof(f730,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f77,f29]) ).
fof(f757,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f147,f27]) ).
fof(f765,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f757,f26]) ).
fof(f772,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f765,f26]) ).
fof(f775,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f772,f27]) ).
fof(f790,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f775]) ).
fof(f805,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f790,f25]) ).
fof(f925,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f145,f23]) ).
fof(f942,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f925,f25]) ).
fof(f1093,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
inference(superposition,[],[f24,f942]) ).
fof(f1094,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f24,f942]) ).
fof(f1102,plain,
one = converse(one),
inference(superposition,[],[f23,f942]) ).
fof(f1112,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f1094,f1102]) ).
fof(f1113,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f1093,f18]) ).
fof(f1120,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
inference(forward_demodulation,[],[f1113,f1102]) ).
fof(f1127,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f942,f1102]) ).
fof(f1154,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f254,f1127]) ).
fof(f1157,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1154,f942]) ).
fof(f1190,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,[],[f291,f1157]) ).
fof(f1192,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f19,f1157]) ).
fof(f1194,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1190,f161]) ).
fof(f1256,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1194,f1194]) ).
fof(f1259,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1194,f33]) ).
fof(f1261,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f291,f1194]) ).
fof(f1288,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f1261,f18]) ).
fof(f1322,plain,
! [X0,X1] : join(join(complement(X0),X1),complement(X0)) = join(join(complement(X0),X1),join(complement(X0),X1)),
inference(superposition,[],[f1288,f165]) ).
fof(f1326,plain,
! [X2,X0,X1] : join(join(complement(X0),X2),join(complement(X0),X2)) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f1288,f291]) ).
fof(f1333,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f1288,f18]) ).
fof(f1339,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1194,f1288]) ).
fof(f1375,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f1333,f1339]) ).
fof(f1381,plain,
! [X2,X0,X1] : join(join(complement(X0),X2),join(complement(X0),X2)) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1326,f19]) ).
fof(f1385,plain,
! [X0,X1] : join(join(complement(X0),X1),complement(X0)) = join(X1,join(join(complement(X0),X1),complement(X0))),
inference(forward_demodulation,[],[f1322,f289]) ).
fof(f1411,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(join(complement(X0),X2),complement(X0))),
inference(forward_demodulation,[],[f1381,f289]) ).
fof(f1413,plain,
! [X0,X1] : join(complement(X0),join(complement(X0),X1)) = join(X1,join(complement(X0),join(complement(X0),X1))),
inference(forward_demodulation,[],[f1385,f18]) ).
fof(f1425,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(complement(X0),join(complement(X0),X2))),
inference(forward_demodulation,[],[f1411,f18]) ).
fof(f1427,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1413,f1192]) ).
fof(f1434,plain,
! [X2,X0,X1] : join(complement(X0),join(X2,complement(join(X0,X1)))) = join(X2,join(complement(X0),X2)),
inference(forward_demodulation,[],[f1425,f1192]) ).
fof(f1437,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1434,f1427]) ).
fof(f1468,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f291,f1375]) ).
fof(f1482,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(X2,complement(complement(X0))))))))),
inference(superposition,[],[f291,f1375]) ).
fof(f1491,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1482,f1437]) ).
fof(f1499,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1468,f18]) ).
fof(f1526,plain,
! [X0] : join(top,X0) = join(X0,complement(join(zero,X0))),
inference(superposition,[],[f1499,f382]) ).
fof(f1556,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(superposition,[],[f512,f1499]) ).
fof(f1606,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1526,f689]) ).
fof(f1649,plain,
! [X0] : join(sK0,X0) = join(complement(sF8),X0),
inference(superposition,[],[f1491,f46]) ).
fof(f1650,plain,
! [X0] : join(sK1,X0) = join(complement(sF3),X0),
inference(superposition,[],[f1491,f36]) ).
fof(f1673,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f1157,f1491]) ).
fof(f1680,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f512,f1491]) ).
fof(f1681,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1288,f1491]) ).
fof(f1682,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1499,f1491]) ).
fof(f1696,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f18,f1491]) ).
fof(f1709,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1681,f1339]) ).
fof(f1710,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(forward_demodulation,[],[f1680,f1499]) ).
fof(f1716,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1673,f1256]) ).
fof(f1856,plain,
! [X0] : join(X0,complement(join(zero,X0))) = join(X0,top),
inference(superposition,[],[f1556,f382]) ).
fof(f1961,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1856,f689]) ).
fof(f2059,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
inference(superposition,[],[f1710,f29]) ).
fof(f2067,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1710,f18]) ).
fof(f2081,plain,
join(sF5,complement(sF3)) = join(sF5,complement(sF6)),
inference(superposition,[],[f1710,f42]) ).
fof(f2154,plain,
join(sF5,complement(sF3)) = join(sF5,sF7),
inference(forward_demodulation,[],[f2081,f44]) ).
fof(f2168,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2059,f382]) ).
fof(f2199,plain,
! [X0] : join(complement(X0),complement(X0)) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2168,f18]) ).
fof(f2219,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2199,f1339]) ).
fof(f2263,plain,
! [X0] : complement(join(complement(X0),zero)) = join(zero,X0),
inference(superposition,[],[f1556,f2219]) ).
fof(f2285,plain,
! [X0] : complement(join(zero,complement(X0))) = join(zero,X0),
inference(forward_demodulation,[],[f2263,f18]) ).
fof(f2308,plain,
! [X0] : complement(complement(X0)) = join(zero,X0),
inference(forward_demodulation,[],[f2285,f2219]) ).
fof(f2317,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f2308,f1716]) ).
fof(f2405,plain,
sK0 = complement(sF8),
inference(superposition,[],[f1716,f46]) ).
fof(f2406,plain,
sK1 = complement(sF3),
inference(superposition,[],[f1716,f36]) ).
fof(f2666,plain,
complement(sF3) = join(complement(sF3),complement(sF6)),
inference(superposition,[],[f1709,f42]) ).
fof(f2667,plain,
complement(sF8) = join(complement(sF8),complement(sF10)),
inference(superposition,[],[f1709,f50]) ).
fof(f2729,plain,
complement(sF8) = join(sK0,complement(sF10)),
inference(forward_demodulation,[],[f2667,f1649]) ).
fof(f2730,plain,
complement(sF3) = join(sK1,complement(sF6)),
inference(forward_demodulation,[],[f2666,f1650]) ).
fof(f2760,plain,
complement(sF8) = join(sK0,sF11),
inference(forward_demodulation,[],[f2729,f52]) ).
fof(f2761,plain,
complement(sF3) = join(sK1,sF7),
inference(forward_demodulation,[],[f2730,f44]) ).
fof(f2778,plain,
sK0 = join(sK0,sF11),
inference(forward_demodulation,[],[f2760,f2405]) ).
fof(f2779,plain,
sK1 = join(sK1,sF7),
inference(forward_demodulation,[],[f2761,f2406]) ).
fof(f4854,plain,
converse(top) = join(sK0,converse(complement(sF4))),
inference(superposition,[],[f730,f38]) ).
fof(f4866,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f2067,f730]) ).
fof(f4886,plain,
top = converse(top),
inference(superposition,[],[f1606,f730]) ).
fof(f4909,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4866,f4886]) ).
fof(f4919,plain,
converse(top) = join(sK0,converse(sF5)),
inference(forward_demodulation,[],[f4854,f40]) ).
fof(f4942,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4909,f382]) ).
fof(f4948,plain,
top = join(sK0,converse(sF5)),
inference(forward_demodulation,[],[f4919,f4886]) ).
fof(f4965,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f4942,f1259]) ).
fof(f5025,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f77,f4965]) ).
fof(f5032,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f5025,f25]) ).
fof(f6502,plain,
sF8 = join(sF8,converse(complement(converse(sK0)))),
inference(superposition,[],[f5032,f2405]) ).
fof(f6503,plain,
sF8 = join(sF8,converse(complement(sF4))),
inference(forward_demodulation,[],[f6502,f38]) ).
fof(f6527,plain,
sF8 = join(sF8,converse(sF5)),
inference(forward_demodulation,[],[f6503,f40]) ).
fof(f7039,plain,
composition(sK1,sF11) = join(sF13,composition(sF7,sF11)),
inference(superposition,[],[f140,f2779]) ).
fof(f7110,plain,
composition(sK1,sF11) = join(sF13,sF12),
inference(forward_demodulation,[],[f7039,f54]) ).
fof(f7129,plain,
composition(sK1,sF11) = join(sF12,sF13),
inference(forward_demodulation,[],[f7110,f18]) ).
fof(f7139,plain,
composition(sK1,sF11) = sF14,
inference(forward_demodulation,[],[f7129,f63]) ).
fof(f7141,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f7139,f56]) ).
fof(f7142,plain,
sF12 != sF13,
inference(superposition,[],[f59,f7141]) ).
fof(f10000,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(complement(join(complement(X0),one)),X1)),
inference(superposition,[],[f1112,f1556]) ).
fof(f10010,plain,
! [X0,X1] : join(X1,composition(complement(join(X0,one)),X1)) = composition(join(one,complement(X0)),X1),
inference(superposition,[],[f1112,f1710]) ).
fof(f10019,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(superposition,[],[f1112,f1961]) ).
fof(f10110,plain,
! [X0,X1] : composition(join(one,X0),X1) = composition(join(one,complement(complement(X0))),X1),
inference(forward_demodulation,[],[f10000,f10010]) ).
fof(f10145,plain,
! [X0,X1] : composition(join(one,X0),X1) = composition(join(X0,one),X1),
inference(forward_demodulation,[],[f10110,f1696]) ).
fof(f10364,plain,
join(complement(sK0),converse(sF5)) = join(converse(sF5),complement(top)),
inference(superposition,[],[f1682,f4948]) ).
fof(f10380,plain,
join(complement(sK0),converse(sF5)) = join(complement(top),converse(sF5)),
inference(forward_demodulation,[],[f10364,f18]) ).
fof(f10391,plain,
join(complement(sK0),converse(sF5)) = join(zero,converse(sF5)),
inference(forward_demodulation,[],[f10380,f382]) ).
fof(f10397,plain,
converse(sF5) = join(complement(sK0),converse(sF5)),
inference(forward_demodulation,[],[f10391,f2317]) ).
fof(f10400,plain,
converse(sF5) = join(sF8,converse(sF5)),
inference(forward_demodulation,[],[f10397,f46]) ).
fof(f10403,plain,
sF8 = converse(sF5),
inference(forward_demodulation,[],[f10400,f6527]) ).
fof(f17614,plain,
complement(converse(sK0)) = join(complement(converse(sK0)),composition(top,complement(converse(sK0)))),
inference(superposition,[],[f257,f64]) ).
fof(f17691,plain,
complement(converse(sK0)) = composition(join(one,top),complement(converse(sK0))),
inference(forward_demodulation,[],[f17614,f1112]) ).
fof(f17727,plain,
complement(converse(sK0)) = composition(join(top,one),complement(converse(sK0))),
inference(forward_demodulation,[],[f17691,f10145]) ).
fof(f17743,plain,
complement(sF4) = composition(join(top,one),complement(sF4)),
inference(forward_demodulation,[],[f17727,f38]) ).
fof(f17752,plain,
sF5 = composition(join(top,one),sF5),
inference(forward_demodulation,[],[f17743,f40]) ).
fof(f17757,plain,
sF5 = join(sF5,composition(top,sF5)),
inference(forward_demodulation,[],[f17752,f1120]) ).
fof(f17758,plain,
sF5 = composition(top,sF5),
inference(forward_demodulation,[],[f17757,f10019]) ).
fof(f17764,plain,
complement(converse(top)) = join(complement(converse(top)),composition(sF5,complement(converse(sF5)))),
inference(superposition,[],[f257,f17758]) ).
fof(f17772,plain,
complement(converse(top)) = join(complement(converse(top)),composition(sF5,complement(sF8))),
inference(forward_demodulation,[],[f17764,f10403]) ).
fof(f17779,plain,
complement(converse(top)) = join(complement(converse(top)),composition(sF5,sK0)),
inference(forward_demodulation,[],[f17772,f2405]) ).
fof(f17786,plain,
complement(top) = join(complement(top),composition(sF5,sK0)),
inference(forward_demodulation,[],[f17779,f4886]) ).
fof(f17791,plain,
zero = join(zero,composition(sF5,sK0)),
inference(forward_demodulation,[],[f17786,f382]) ).
fof(f17793,plain,
zero = composition(sF5,sK0),
inference(forward_demodulation,[],[f17791,f2317]) ).
fof(f17804,plain,
! [X0] : composition(sF5,join(sK0,X0)) = join(zero,composition(sF5,X0)),
inference(superposition,[],[f805,f17793]) ).
fof(f17807,plain,
! [X0] : composition(sF5,X0) = composition(sF5,join(sK0,X0)),
inference(forward_demodulation,[],[f17804,f2317]) ).
fof(f18133,plain,
composition(sF5,sK0) = composition(sF5,sF11),
inference(superposition,[],[f17807,f2778]) ).
fof(f18224,plain,
zero = composition(sF5,sF11),
inference(forward_demodulation,[],[f18133,f17793]) ).
fof(f18277,plain,
! [X0] : composition(join(sF5,X0),sF11) = join(zero,composition(X0,sF11)),
inference(superposition,[],[f24,f18224]) ).
fof(f18292,plain,
! [X0] : composition(X0,sF11) = composition(join(sF5,X0),sF11),
inference(forward_demodulation,[],[f18277,f2317]) ).
fof(f18313,plain,
composition(complement(sF3),sF11) = composition(join(sF5,sF7),sF11),
inference(superposition,[],[f18292,f2154]) ).
fof(f18403,plain,
composition(sF7,sF11) = composition(complement(sF3),sF11),
inference(forward_demodulation,[],[f18313,f18292]) ).
fof(f18423,plain,
composition(sF7,sF11) = composition(sK1,sF11),
inference(forward_demodulation,[],[f18403,f2406]) ).
fof(f18435,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f18423,f56]) ).
fof(f18438,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f18435,f54]) ).
fof(f18439,plain,
$false,
inference(forward_subsumption_resolution,[],[f18438,f7142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL034+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n011.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 22:55:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.18/3.50 % (2856637)Detected formulas, will run a generic FOF schedule.
% 17.18/3.50 % (2856655)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1501200865:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.18/3.50 % (2856656)dis-21_1_sil=8000:lcm=predicate:random_seed=3673440375: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)
% 17.18/3.50 % (2856656)Refutation not found, incomplete strategy
% 17.18/3.50 % (2856656)------------------------------
% 17.18/3.50 % (2856656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.50 % (2856656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.50 % (2856656)CaDiCaL version: 2.1.3
% 17.18/3.50 % (2856656)Termination reason: Refutation not found, incomplete strategy
% 17.18/3.50 % (2856656)Time elapsed: 0.001 s
% 17.18/3.50 % (2856656)Peak memory usage: 88 MB
% 17.18/3.50 % (2856656)Instructions burned: 1 (million)
% 17.18/3.50 % (2856652)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=3977446705:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.18/3.50 % (2856654)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3187118826:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.18/3.50 % (2856653)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2389534709:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.18/3.50 % (2856650)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=579936609:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.18/3.50 % (2856651)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=1682037869:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.18/3.50 % (2856655)Instruction limit reached!
% 17.18/3.50 % (2856655)------------------------------
% 17.18/3.50 % (2856655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.50 % (2856655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.50 % (2856655)CaDiCaL version: 2.1.3
% 17.18/3.50 % (2856655)Termination reason: Instruction limit
% 17.18/3.50 % (2856655)Termination phase: Saturation
% 17.18/3.50 % (2856655)Time elapsed: 0.090 s
% 17.18/3.50 % (2856655)Peak memory usage: 89 MB
% 17.18/3.50 % (2856655)Instructions burned: 140 (million)
% 17.18/3.50 % (2856653)Instruction limit reached!
% 17.18/3.50 % (2856653)------------------------------
% 17.18/3.50 % (2856653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.18/3.50 % (2856653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.18/3.50 % (2856653)CaDiCaL version: 2.1.3
% 17.18/3.50 % (2856653)Termination reason: Instruction limit
% 17.18/3.50 % (2856653)Termination phase: Saturation
% 17.18/3.50 % (2856653)Time elapsed: 0.108 s
% 17.18/3.50 % (2856653)Peak memory usage: 89 MB
% 17.18/3.50 % (2856653)Instructions burned: 109 (million)
% 17.18/3.50 % (2856654)Instruction limit reached!
% 17.18/3.50 % (2856654)------------------------------
% 17.18/3.50 % (2856654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856654)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856654)Termination reason: Instruction limit
% 18.17/3.50 % (2856654)Termination phase: Saturation
% 18.17/3.50 % (2856654)Time elapsed: 0.110 s
% 18.17/3.50 % (2856654)Peak memory usage: 88 MB
% 18.17/3.50 % (2856654)Instructions burned: 119 (million)
% 18.17/3.50 % (2856656)------------------------------
% 18.17/3.50 % (2856656)------------------------------
% 18.17/3.50 % (2856664)lrs+10_1_sil=8000:sp=occurrence:random_seed=2268638792:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.17/3.50 % (2856665)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1346489720:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.17/3.50 % (2856666)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3651659781:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.17/3.50 % (2856667)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=649599541:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.17/3.50 % (2856665)Instruction limit reached!
% 18.17/3.50 % (2856665)------------------------------
% 18.17/3.50 % (2856665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856665)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856665)Termination reason: Instruction limit
% 18.17/3.50 % (2856665)Termination phase: Saturation
% 18.17/3.50 % (2856665)Time elapsed: 0.131 s
% 18.17/3.50 % (2856665)Peak memory usage: 90 MB
% 18.17/3.50 % (2856665)Instructions burned: 158 (million)
% 18.17/3.50 % (2856667)Instruction limit reached!
% 18.17/3.50 % (2856667)------------------------------
% 18.17/3.50 % (2856667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856667)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856667)Termination reason: Instruction limit
% 18.17/3.50 % (2856667)Termination phase: Saturation
% 18.17/3.50 % (2856667)Time elapsed: 0.129 s
% 18.17/3.50 % (2856667)Peak memory usage: 92 MB
% 18.17/3.50 % (2856667)Instructions burned: 248 (million)
% 18.17/3.50 % (2856664)Instruction limit reached!
% 18.17/3.50 % (2856664)------------------------------
% 18.17/3.50 % (2856664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856664)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856664)Termination reason: Instruction limit
% 18.17/3.50 % (2856664)Termination phase: Saturation
% 18.17/3.50 % (2856664)Time elapsed: 0.283 s
% 18.17/3.50 % (2856664)Peak memory usage: 92 MB
% 18.17/3.50 % (2856664)Instructions burned: 287 (million)
% 18.17/3.50 % (2856674)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=85749243:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 18.17/3.50 % (2856666)Instruction limit reached!
% 18.17/3.50 % (2856666)------------------------------
% 18.17/3.50 % (2856666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856666)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856666)Termination reason: Instruction limit
% 18.17/3.50 % (2856666)Termination phase: Saturation
% 18.17/3.50 % (2856666)Time elapsed: 0.331 s
% 18.17/3.50 % (2856666)Peak memory usage: 92 MB
% 18.17/3.50 % (2856666)Instructions burned: 325 (million)
% 18.17/3.50 % (2856675)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2367617141:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.17/3.50 % (2856676)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1388217736:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.17/3.50 % (2856674)Instruction limit reached!
% 18.17/3.50 % (2856674)------------------------------
% 18.17/3.50 % (2856674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856674)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856674)Termination reason: Instruction limit
% 18.17/3.50 % (2856674)Termination phase: Saturation
% 18.17/3.50 % (2856674)Time elapsed: 0.204 s
% 18.17/3.50 % (2856674)Peak memory usage: 92 MB
% 18.17/3.50 % (2856674)Instructions burned: 295 (million)
% 18.17/3.50 % (2856676)Instruction limit reached!
% 18.17/3.50 % (2856676)------------------------------
% 18.17/3.50 % (2856676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856676)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856676)Termination reason: Instruction limit
% 18.17/3.50 % (2856676)Termination phase: Saturation
% 18.17/3.50 % (2856676)Time elapsed: 0.109 s
% 18.17/3.50 % (2856676)Peak memory usage: 90 MB
% 18.17/3.50 % (2856676)Instructions burned: 113 (million)
% 18.17/3.50 % (2856678)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4277978343:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.17/3.50 % (2856678)Refutation not found, incomplete strategy
% 18.17/3.50 % (2856678)------------------------------
% 18.17/3.50 % (2856678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856678)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856678)Termination reason: Refutation not found, incomplete strategy
% 18.17/3.50 % (2856678)Time elapsed: 0.002 s
% 18.17/3.50 % (2856678)Peak memory usage: 88 MB
% 18.17/3.50 % (2856681)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3452035065:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 18.17/3.50 % (2856682)lrs+10_1_sil=8000:sp=occurrence:random_seed=167845661:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 18.17/3.50 % (2856681)Instruction limit reached!
% 18.17/3.50 % (2856681)------------------------------
% 18.17/3.50 % (2856681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856681)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856681)Termination reason: Instruction limit
% 18.17/3.50 % (2856681)Termination phase: Saturation
% 18.17/3.50 % (2856681)Time elapsed: 0.104 s
% 18.17/3.50 % (2856681)Peak memory usage: 88 MB
% 18.17/3.50 % (2856681)Instructions burned: 114 (million)
% 18.17/3.50 % (2856686)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1793443786:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 18.17/3.50 % (2856678)------------------------------
% 18.17/3.50 % (2856678)------------------------------
% 18.17/3.50 % (2856686)Instruction limit reached!
% 18.17/3.50 % (2856686)------------------------------
% 18.17/3.50 % (2856686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856686)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856686)Termination reason: Instruction limit
% 18.17/3.50 % (2856686)Termination phase: Saturation
% 18.17/3.50 % (2856686)Time elapsed: 0.259 s
% 18.17/3.50 % (2856686)Peak memory usage: 91 MB
% 18.17/3.50 % (2856686)Instructions burned: 437 (million)
% 18.17/3.50 % (2856688)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1566427525:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 18.17/3.50 % (2856689)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2291382744:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 18.17/3.50 % (2856689)Refutation not found, incomplete strategy
% 18.17/3.50 % (2856689)------------------------------
% 18.17/3.50 % (2856689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856689)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856689)Termination reason: Refutation not found, incomplete strategy
% 18.17/3.50 % (2856689)Time elapsed: 0.003 s
% 18.17/3.50 % (2856689)Peak memory usage: 89 MB
% 18.17/3.50 % (2856689)Instructions burned: 1 (million)
% 18.17/3.50 % (2856682)Instruction limit reached!
% 18.17/3.50 % (2856682)------------------------------
% 18.17/3.50 % (2856682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.50 % (2856682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.50 % (2856682)CaDiCaL version: 2.1.3
% 18.17/3.50 % (2856682)Termination reason: Instruction limit
% 18.17/3.50 % (2856682)Termination phase: Saturation
% 18.17/3.50 % (2856682)Time elapsed: 0.860 s
% 18.17/3.50 % (2856682)Peak memory usage: 96 MB
% 18.17/3.50 % (2856682)Instructions burned: 907 (million)
% 18.17/3.50 % (2856675)First to succeed.
% 18.17/3.50 % (2856675)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2856637"
% 18.17/3.50 % (2856689)------------------------------
% 18.17/3.50 % (2856689)------------------------------
% 18.17/3.50 % (2856694)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3544403964:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 18.17/3.50 % (2856675)Refutation found. Thanks to Tanya!
% 18.17/3.50 % SZS status Theorem for theBenchmark
% 18.17/3.50 % SZS output start Proof for theBenchmark
% See solution above
% 18.37/3.73 % (2856675)------------------------------
% 18.37/3.73 % (2856675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.73 % (2856675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.73 % (2856675)CaDiCaL version: 2.1.3
% 18.37/3.73 % (2856675)Termination reason: Refutation
% 18.37/3.73 % (2856675)Time elapsed: 1.327 s
% 18.37/3.73 % (2856675)Peak memory usage: 140 MB
% 18.37/3.73 % (2856675)Instructions burned: 2214 (million)
% 18.37/3.73 % (2856675)------------------------------
% 18.37/3.73 % (2856675)------------------------------
% 18.37/3.73 % (2856637)Success in time 2.502 s
% 18.37/3.73 % Vampire exiting
%------------------------------------------------------------------------------