%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040+3 : 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 : n012.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 12:34:04 PM UTC 2026
% Result : Theorem 35.05s 6.54s
% Output : Refutation 41.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 30
% Syntax : Number of formulae : 248 ( 244 unt; 14 def)
% Number of atoms : 252 ( 251 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-2 aty)
% Number of variables : 269 ( 266 !; 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(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,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/sandbox2/benchmark/theBenchmark.p',dedekind_law) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> composition(X0,meet(X1,X2)) = meet(composition(X0,X1),composition(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> composition(X0,meet(X1,X2)) = meet(composition(X0,X1),composition(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( composition(X0,meet(X1,X2)) != meet(composition(X0,X1),composition(X0,X2))
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(sK0,meet(sK1,sK2)) != meet(composition(sK0,sK1),composition(sK0,sK2))
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,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(f35,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
composition(sK0,meet(sK1,sK2)) != meet(composition(sK0,sK1),composition(sK0,sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f40,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,[],[f34,f24,f24,f24,f24,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f35,f24,f24,f24,f24,f24]) ).
fof(f43,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))),
inference(definition_unfolding,[],[f38,f24,f24]) ).
fof(f44,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f45,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF4 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f47,plain,
complement(sK2) = sF4,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f49,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f51,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF7 = composition(sK0,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
composition(sK0,sF6) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
composition(sK0,sK1) = sF8,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f57,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF10 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f59,plain,
composition(sK0,sK2) = sF10,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f61,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF12 = join(sF9,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f63,plain,
join(sF9,sF11) = sF12,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF13 = complement(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f65,plain,
complement(sF12) = sF13,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
sF7 != sF13,
inference(definition_folding,[],[f43,f65,f63,f61,f59,f57,f55,f53,f51,f49,f47,f45]) ).
fof(f67,definition,
sF14 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f68,plain,
converse(sK0) = sF14,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF15 = composition(sF14,sK0),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f70,plain,
composition(sF14,sK0) = sF15,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF16 = join(sF15,one),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f72,plain,
join(sF15,one) = sF16,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
one = sF16,
inference(definition_folding,[],[f37,f72,f70,f68]) ).
fof(f74,plain,
one = join(sF15,one),
inference(forward_demodulation,[],[f72,f73]) ).
fof(f77,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f79,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f83,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f106,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f107,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f108,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f115,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f116,plain,
! [X0] : composition(join(sK0,X0),sF6) = join(sF7,composition(X0,sF6)),
inference(superposition,[],[f27,f53]) ).
fof(f243,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f251,plain,
! [X0] : join(sF3,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f22,f49]) ).
fof(f252,plain,
! [X0] : join(sF9,join(sF11,X0)) = join(sF12,X0),
inference(superposition,[],[f22,f63]) ).
fof(f258,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f295,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X1),complement(X2))),join(X0,complement(join(complement(X1),X2)))),
inference(superposition,[],[f243,f21]) ).
fof(f358,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f83,f26]) ).
fof(f368,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f358,f28]) ).
fof(f379,plain,
one = converse(one),
inference(superposition,[],[f26,f368]) ).
fof(f391,plain,
! [X0] : composition(sF14,composition(sK0,X0)) = composition(sF15,X0),
inference(superposition,[],[f25,f70]) ).
fof(f511,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f77,f32]) ).
fof(f564,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f569,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f23,f39]) ).
fof(f639,plain,
! [X2,X0,X1] : composition(complement(join(complement(X1),complement(composition(X0,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X0))))) = join(complement(join(complement(X0),complement(composition(X1,X2)))),composition(complement(join(complement(X1),complement(composition(X0,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X0)))))),
inference(superposition,[],[f40,f21]) ).
fof(f708,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f368,f379]) ).
fof(f727,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f708]) ).
fof(f732,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f727,f368]) ).
fof(f753,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f243,f732]) ).
fof(f758,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f22,f732]) ).
fof(f762,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f753,f23]) ).
fof(f787,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f762,f21]) ).
fof(f791,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f762,f762]) ).
fof(f793,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f762,f39]) ).
fof(f797,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f258,f762]) ).
fof(f840,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f793]) ).
fof(f887,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f243,f791]) ).
fof(f903,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f887,f39]) ).
fof(f906,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f903,f840]) ).
fof(f910,plain,
! [X0] : join(top,X0) = join(complement(zero),X0),
inference(superposition,[],[f906,f564]) ).
fof(f911,plain,
! [X0] : join(sK1,X0) = join(complement(sF3),X0),
inference(superposition,[],[f906,f45]) ).
fof(f912,plain,
! [X0] : join(sK2,X0) = join(complement(sF4),X0),
inference(superposition,[],[f906,f47]) ).
fof(f937,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f762,f906]) ).
fof(f941,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(complement(X0)),complement(X1))),complement(join(X0,X1))),
inference(superposition,[],[f23,f906]) ).
fof(f946,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f21,f906]) ).
fof(f954,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f793,f906]) ).
fof(f955,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f954,f793]) ).
fof(f961,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1))),
inference(forward_demodulation,[],[f941,f906]) ).
fof(f981,plain,
top = complement(zero),
inference(superposition,[],[f955,f564]) ).
fof(f982,plain,
sK1 = complement(sF3),
inference(superposition,[],[f955,f45]) ).
fof(f983,plain,
sK2 = complement(sF4),
inference(superposition,[],[f955,f47]) ).
fof(f999,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f106,f955]) ).
fof(f1081,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f937,f21]) ).
fof(f1104,plain,
! [X0] : complement(zero) = join(complement(zero),complement(X0)),
inference(superposition,[],[f937,f569]) ).
fof(f1105,plain,
complement(sF3) = join(complement(sF3),complement(sF5)),
inference(superposition,[],[f937,f49]) ).
fof(f1143,plain,
complement(sF3) = join(sK1,complement(sF5)),
inference(forward_demodulation,[],[f1105,f911]) ).
fof(f1144,plain,
! [X0] : complement(zero) = join(top,complement(X0)),
inference(forward_demodulation,[],[f1104,f910]) ).
fof(f1162,plain,
complement(sF3) = join(sK1,sF6),
inference(forward_demodulation,[],[f1143,f51]) ).
fof(f1163,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1144,f981]) ).
fof(f1173,plain,
sK1 = join(sK1,sF6),
inference(forward_demodulation,[],[f1162,f982]) ).
fof(f1230,plain,
complement(sF4) = join(complement(sF4),complement(sF5)),
inference(superposition,[],[f1081,f49]) ).
fof(f1269,plain,
complement(sF4) = join(sK2,complement(sF5)),
inference(forward_demodulation,[],[f1230,f912]) ).
fof(f1287,plain,
complement(sF4) = join(sK2,sF6),
inference(forward_demodulation,[],[f1269,f51]) ).
fof(f1302,plain,
sK2 = join(sK2,sF6),
inference(forward_demodulation,[],[f1287,f983]) ).
fof(f1333,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1163,f955]) ).
fof(f1552,plain,
top = converse(top),
inference(superposition,[],[f511,f1333]) ).
fof(f1969,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f999,f21]) ).
fof(f2022,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f999]) ).
fof(f2029,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f107,f999]) ).
fof(f2040,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2029,f946]) ).
fof(f2047,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2022,f906]) ).
fof(f2111,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2040,f946]) ).
fof(f2118,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2047,f797]) ).
fof(f2155,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2111,f22]) ).
fof(f2178,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2155,f2118]) ).
fof(f2187,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2178,f758]) ).
fof(f2192,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2118,f21]) ).
fof(f2205,plain,
! [X0,X1] : join(complement(complement(join(complement(X0),complement(X1)))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(superposition,[],[f2118,f108]) ).
fof(f2308,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2205,f906]) ).
fof(f2344,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2308,f22]) ).
fof(f2366,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2344,f1081]) ).
fof(f2416,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(complement(join(complement(X0),complement(X1)))),complement(join(X1,complement(X0)))),
inference(superposition,[],[f2192,f107]) ).
fof(f2524,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2416,f906]) ).
fof(f2559,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),complement(X0)) = join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f2524,f22]) ).
fof(f2585,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(X1,complement(X0))),complement(X0)),
inference(forward_demodulation,[],[f2559,f937]) ).
fof(f2657,plain,
! [X0,X1] : join(complement(join(X1,complement(complement(X0)))),X0) = join(complement(join(X1,complement(complement(X0)))),complement(complement(X0))),
inference(superposition,[],[f2187,f787]) ).
fof(f2743,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(complement(join(X1,complement(complement(X0)))),X0),
inference(forward_demodulation,[],[f2657,f2585]) ).
fof(f2800,plain,
! [X0,X1] : join(complement(complement(X0)),complement(X1)) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f2743,f946]) ).
fof(f2838,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f2800,f906]) ).
fof(f3506,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(join(X0,X1)),X1),
inference(superposition,[],[f2838,f21]) ).
fof(f3525,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f2838,f2838]) ).
fof(f3651,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(forward_demodulation,[],[f3525,f961]) ).
fof(f4483,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f115,f30]) ).
fof(f4512,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f4483,f29]) ).
fof(f4531,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f4512,f29]) ).
fof(f4540,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f4531,f30]) ).
fof(f4567,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f4540]) ).
fof(f4590,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4567,f28]) ).
fof(f4640,plain,
! [X0] : composition(sK0,join(sF6,X0)) = join(sF7,composition(sK0,X0)),
inference(superposition,[],[f4590,f53]) ).
fof(f4641,plain,
! [X0] : composition(sK0,join(sK2,X0)) = join(sF10,composition(sK0,X0)),
inference(superposition,[],[f4590,f59]) ).
fof(f4642,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF8,composition(sK0,X0)),
inference(superposition,[],[f4590,f55]) ).
fof(f4644,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f4590,f26]) ).
fof(f4809,plain,
composition(sK0,sK2) = join(sF10,composition(sK0,sF6)),
inference(superposition,[],[f4641,f1302]) ).
fof(f4862,plain,
composition(sK0,sK2) = join(sF10,sF7),
inference(forward_demodulation,[],[f4809,f53]) ).
fof(f4873,plain,
sF10 = join(sF10,sF7),
inference(forward_demodulation,[],[f4862,f59]) ).
fof(f4885,plain,
complement(sF7) = join(complement(join(complement(sF10),sF7)),complement(sF10)),
inference(superposition,[],[f1969,f4873]) ).
fof(f4891,plain,
complement(sF7) = join(complement(sF10),complement(sF7)),
inference(forward_demodulation,[],[f4885,f2366]) ).
fof(f4895,plain,
complement(sF7) = join(sF11,complement(sF7)),
inference(forward_demodulation,[],[f4891,f61]) ).
fof(f4898,plain,
composition(sK0,sK1) = join(sF8,composition(sK0,sF6)),
inference(superposition,[],[f4642,f1173]) ).
fof(f4951,plain,
composition(sK0,sK1) = join(sF8,sF7),
inference(forward_demodulation,[],[f4898,f53]) ).
fof(f4962,plain,
sF8 = join(sF8,sF7),
inference(forward_demodulation,[],[f4951,f55]) ).
fof(f4974,plain,
complement(sF7) = join(complement(join(complement(sF8),sF7)),complement(sF8)),
inference(superposition,[],[f1969,f4962]) ).
fof(f4980,plain,
complement(sF7) = join(complement(sF8),complement(sF7)),
inference(forward_demodulation,[],[f4974,f2366]) ).
fof(f4984,plain,
complement(sF7) = join(sF9,complement(sF7)),
inference(forward_demodulation,[],[f4980,f57]) ).
fof(f7813,plain,
! [X0] : composition(X0,top) = join(composition(X0,top),X0),
inference(superposition,[],[f4644,f1333]) ).
fof(f7815,plain,
! [X0] : composition(X0,one) = join(composition(X0,sF15),X0),
inference(superposition,[],[f4644,f74]) ).
fof(f7890,plain,
! [X0] : join(composition(X0,sF15),X0) = X0,
inference(forward_demodulation,[],[f7815,f26]) ).
fof(f7999,plain,
! [X0] : complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(converse(sK0),X0)))))),complement(X0))) = join(complement(join(complement(sF8),complement(X0))),complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(converse(sK0),X0)))))),complement(X0)))),
inference(superposition,[],[f41,f55]) ).
fof(f8179,plain,
! [X0] : complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(sF14,X0)))))),complement(X0))) = join(complement(join(complement(sF8),complement(X0))),complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(composition(sF14,X0)))))),complement(X0)))),
inference(forward_demodulation,[],[f7999,f68]) ).
fof(f8226,plain,
! [X0] : complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,X0)))))),complement(X0))) = join(complement(join(complement(sF8),complement(X0))),complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,X0)))))),complement(X0)))),
inference(forward_demodulation,[],[f8179,f45]) ).
fof(f8260,plain,
! [X0] : complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,X0)))))),complement(X0))) = join(complement(join(sF9,complement(X0))),complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,X0)))))),complement(X0)))),
inference(forward_demodulation,[],[f8226,f57]) ).
fof(f8423,plain,
! [X0] : converse(converse(X0)) = join(converse(composition(converse(X0),sF15)),X0),
inference(superposition,[],[f79,f7890]) ).
fof(f8457,plain,
! [X0] : converse(converse(X0)) = join(composition(converse(sF15),X0),X0),
inference(forward_demodulation,[],[f8423,f83]) ).
fof(f8479,plain,
! [X0] : join(composition(converse(sF15),X0),X0) = X0,
inference(forward_demodulation,[],[f8457,f28]) ).
fof(f8504,plain,
composition(sF14,sF10) = composition(sF15,sK2),
inference(superposition,[],[f391,f59]) ).
fof(f8505,plain,
composition(sF14,sF7) = composition(sF15,sF6),
inference(superposition,[],[f391,f53]) ).
fof(f11139,plain,
join(sF9,complement(sF7)) = join(sF12,complement(sF7)),
inference(superposition,[],[f252,f4895]) ).
fof(f11220,plain,
complement(sF7) = join(sF12,complement(sF7)),
inference(forward_demodulation,[],[f11139,f4984]) ).
fof(f11991,plain,
! [X0] : composition(X0,one) = join(composition(X0,composition(converse(sF15),one)),X0),
inference(superposition,[],[f4644,f8479]) ).
fof(f11997,plain,
! [X0] : composition(X0,one) = join(composition(X0,converse(sF15)),X0),
inference(forward_demodulation,[],[f11991,f26]) ).
fof(f12014,plain,
! [X0] : join(composition(X0,converse(sF15)),X0) = X0,
inference(forward_demodulation,[],[f11997,f26]) ).
fof(f14103,plain,
! [X0] : converse(converse(X0)) = join(converse(composition(converse(X0),converse(sF15))),X0),
inference(superposition,[],[f79,f12014]) ).
fof(f14107,plain,
! [X0] : converse(converse(X0)) = join(composition(converse(converse(sF15)),X0),X0),
inference(forward_demodulation,[],[f14103,f83]) ).
fof(f14135,plain,
! [X0] : converse(converse(X0)) = join(composition(sF15,X0),X0),
inference(forward_demodulation,[],[f14107,f28]) ).
fof(f14150,plain,
! [X0] : join(composition(sF15,X0),X0) = X0,
inference(forward_demodulation,[],[f14135,f28]) ).
fof(f14174,plain,
! [X0] : join(X0,composition(sF15,X0)) = X0,
inference(superposition,[],[f21,f14150]) ).
fof(f14191,plain,
! [X0] : complement(composition(sF15,X0)) = join(complement(X0),complement(composition(sF15,X0))),
inference(superposition,[],[f3651,f14150]) ).
fof(f14248,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF15,X0),X1)),
inference(superposition,[],[f258,f14174]) ).
fof(f14291,plain,
composition(sK0,sF6) = join(sF7,composition(sK0,composition(sF15,sF6))),
inference(superposition,[],[f4640,f14174]) ).
fof(f14296,plain,
composition(sK0,sF6) = join(sF7,composition(sK0,composition(sF14,sF7))),
inference(forward_demodulation,[],[f14291,f8505]) ).
fof(f14331,plain,
sF7 = join(sF7,composition(sK0,composition(sF14,sF7))),
inference(forward_demodulation,[],[f14296,f53]) ).
fof(f20498,plain,
complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11)) = join(complement(join(sF9,sF11)),complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11))),
inference(superposition,[],[f8260,f61]) ).
fof(f20605,plain,
complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11)) = join(complement(sF12),complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11))),
inference(forward_demodulation,[],[f20498,f63]) ).
fof(f20650,plain,
complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11)) = join(sF13,complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11))),
inference(forward_demodulation,[],[f20605,f65]) ).
fof(f27558,plain,
complement(sF12) = join(complement(complement(sF7)),complement(sF12)),
inference(superposition,[],[f3651,f11220]) ).
fof(f27568,plain,
complement(sF12) = join(sF7,complement(sF12)),
inference(forward_demodulation,[],[f27558,f906]) ).
fof(f27582,plain,
sF13 = join(sF7,sF13),
inference(forward_demodulation,[],[f27568,f65]) ).
fof(f29718,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(superposition,[],[f1081,f7813]) ).
fof(f36877,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(complement(top),complement(composition(converse(X0),X0))))) = join(complement(complement(X0)),composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(complement(top),complement(composition(converse(X0),X0)))))),
inference(superposition,[],[f639,f29718]) ).
fof(f37019,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(complement(top),complement(composition(converse(X0),X0))))) = join(X0,composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(complement(top),complement(composition(converse(X0),X0)))))),
inference(forward_demodulation,[],[f36877,f906]) ).
fof(f37062,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(zero,complement(composition(converse(X0),X0))))) = join(X0,composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(join(zero,complement(composition(converse(X0),X0)))))),
inference(forward_demodulation,[],[f37019,f564]) ).
fof(f37085,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(complement(composition(converse(X0),X0)))) = join(X0,composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),complement(complement(composition(converse(X0),X0))))),
inference(forward_demodulation,[],[f37062,f840]) ).
fof(f37100,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),composition(converse(X0),X0)) = join(X0,composition(complement(join(complement(X0),complement(composition(X0,converse(top))))),composition(converse(X0),X0))),
inference(forward_demodulation,[],[f37085,f955]) ).
fof(f37105,plain,
! [X0] : composition(complement(join(complement(X0),complement(composition(X0,top)))),composition(converse(X0),X0)) = join(X0,composition(complement(join(complement(X0),complement(composition(X0,top)))),composition(converse(X0),X0))),
inference(forward_demodulation,[],[f37100,f1552]) ).
fof(f37108,plain,
! [X0] : composition(complement(complement(X0)),composition(converse(X0),X0)) = join(X0,composition(complement(complement(X0)),composition(converse(X0),X0))),
inference(forward_demodulation,[],[f37105,f29718]) ).
fof(f37111,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(X0,composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f37108,f955]) ).
fof(f39879,plain,
! [X0] : complement(composition(sF15,complement(X0))) = join(X0,complement(composition(sF15,complement(X0)))),
inference(superposition,[],[f906,f14191]) ).
fof(f52048,plain,
! [X0,X1] : join(X0,composition(sF15,join(X0,X1))) = join(composition(sF15,X1),X0),
inference(superposition,[],[f14248,f4590]) ).
fof(f52412,plain,
! [X0] : join(composition(sF15,complement(X0)),X0) = join(X0,composition(sF15,top)),
inference(superposition,[],[f52048,f32]) ).
fof(f53428,plain,
! [X0] : join(X0,complement(composition(sF15,complement(X0)))) = join(complement(join(X0,composition(sF15,top))),X0),
inference(superposition,[],[f3506,f52412]) ).
fof(f53505,plain,
! [X0] : join(X0,complement(composition(sF15,complement(X0)))) = join(X0,complement(composition(sF15,top))),
inference(forward_demodulation,[],[f53428,f2838]) ).
fof(f53566,plain,
! [X0] : complement(composition(sF15,complement(X0))) = join(X0,complement(composition(sF15,top))),
inference(forward_demodulation,[],[f53505,f39879]) ).
fof(f53847,plain,
join(sF5,complement(composition(sF15,top))) = join(sF3,complement(composition(sF15,complement(sF4)))),
inference(superposition,[],[f251,f53566]) ).
fof(f53869,plain,
join(sF5,complement(composition(sF15,top))) = join(sF3,complement(composition(sF15,sK2))),
inference(forward_demodulation,[],[f53847,f983]) ).
fof(f54048,plain,
join(sF3,complement(composition(sF14,sF10))) = join(sF5,complement(composition(sF15,top))),
inference(forward_demodulation,[],[f53869,f8504]) ).
fof(f54193,plain,
join(sF3,complement(composition(sF14,sF10))) = complement(composition(sF15,complement(sF5))),
inference(forward_demodulation,[],[f54048,f53566]) ).
fof(f54277,plain,
join(sF3,complement(composition(sF14,sF10))) = complement(composition(sF15,sF6)),
inference(forward_demodulation,[],[f54193,f51]) ).
fof(f54336,plain,
join(sF3,complement(composition(sF14,sF10))) = complement(composition(sF14,sF7)),
inference(forward_demodulation,[],[f54277,f8505]) ).
fof(f84795,plain,
composition(composition(sK0,composition(converse(sK0),sK0)),sF6) = join(sF7,composition(composition(sK0,composition(converse(sK0),sK0)),sF6)),
inference(superposition,[],[f116,f37111]) ).
fof(f84822,plain,
composition(sK0,composition(composition(converse(sK0),sK0),sF6)) = join(sF7,composition(sK0,composition(composition(converse(sK0),sK0),sF6))),
inference(forward_demodulation,[],[f84795,f25]) ).
fof(f84923,plain,
composition(sK0,composition(converse(sK0),composition(sK0,sF6))) = join(sF7,composition(sK0,composition(converse(sK0),composition(sK0,sF6)))),
inference(forward_demodulation,[],[f84822,f25]) ).
fof(f84982,plain,
composition(sK0,composition(converse(sK0),sF7)) = join(sF7,composition(sK0,composition(converse(sK0),sF7))),
inference(forward_demodulation,[],[f84923,f53]) ).
fof(f85013,plain,
composition(sK0,composition(sF14,sF7)) = join(sF7,composition(sK0,composition(sF14,sF7))),
inference(forward_demodulation,[],[f84982,f68]) ).
fof(f85031,plain,
sF7 = composition(sK0,composition(sF14,sF7)),
inference(forward_demodulation,[],[f85013,f14331]) ).
fof(f107983,plain,
join(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10))))),sF13) = join(complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),complement(sF11))),complement(join(complement(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10)))))),sF11))),
inference(superposition,[],[f295,f20650]) ).
fof(f108145,plain,
composition(sK0,complement(join(sF3,complement(composition(sF14,sF10))))) = join(composition(sK0,complement(join(sF3,complement(composition(sF14,sF10))))),sF13),
inference(forward_demodulation,[],[f107983,f23]) ).
fof(f108582,plain,
composition(sK0,complement(complement(composition(sF14,sF7)))) = join(composition(sK0,complement(complement(composition(sF14,sF7)))),sF13),
inference(forward_demodulation,[],[f108145,f54336]) ).
fof(f108906,plain,
composition(sK0,composition(sF14,sF7)) = join(composition(sK0,composition(sF14,sF7)),sF13),
inference(forward_demodulation,[],[f108582,f955]) ).
fof(f109142,plain,
sF7 = join(sF7,sF13),
inference(forward_demodulation,[],[f108906,f85031]) ).
fof(f109311,plain,
sF7 = sF13,
inference(forward_demodulation,[],[f109142,f27582]) ).
fof(f109404,plain,
$false,
inference(forward_subsumption_resolution,[],[f109311,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL040+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 22:55:49 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.33 Running first-order theorem proving
% 0.03/0.33 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
% 13.68/2.75 % (2849322)Detected formulas, will run a generic FOF schedule.
% 13.68/2.75 % (2849348)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=2527737823:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.68/2.75 % (2849350)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2403666267:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.68/2.75 % (2849351)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1153551570:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.68/2.75 % (2849352)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2572601461:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.68/2.75 % (2849347)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=1670049220:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.68/2.75 % (2849349)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=351321980:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.68/2.75 % (2849353)dis-21_1_sil=8000:lcm=predicate:random_seed=2983380273: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)
% 13.68/2.75 % (2849353)Refutation not found, incomplete strategy
% 13.68/2.75 % (2849353)------------------------------
% 13.68/2.75 % (2849353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/2.75 % (2849353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.75 % (2849353)CaDiCaL version: 2.1.3
% 13.68/2.75 % (2849353)Termination reason: Refutation not found, incomplete strategy
% 13.68/2.75 % (2849353)Time elapsed: 0.001 s
% 13.68/2.75 % (2849353)Peak memory usage: 88 MB
% 13.68/2.75 % (2849353)Instructions burned: 1 (million)
% 13.68/2.75 % (2849350)Instruction limit reached!
% 13.68/2.75 % (2849350)------------------------------
% 13.68/2.75 % (2849350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/2.75 % (2849350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.75 % (2849350)CaDiCaL version: 2.1.3
% 13.68/2.75 % (2849350)Termination reason: Instruction limit
% 13.68/2.75 % (2849350)Termination phase: Saturation
% 13.68/2.75 % (2849350)Time elapsed: 0.052 s
% 13.68/2.75 % (2849350)Peak memory usage: 89 MB
% 13.68/2.75 % (2849350)Instructions burned: 110 (million)
% 13.68/2.75 % (2849351)Instruction limit reached!
% 13.68/2.75 % (2849351)------------------------------
% 13.68/2.75 % (2849351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/2.75 % (2849351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.75 % (2849351)CaDiCaL version: 2.1.3
% 13.68/2.75 % (2849351)Termination reason: Instruction limit
% 13.68/2.75 % (2849351)Termination phase: Saturation
% 13.68/2.75 % (2849351)Time elapsed: 0.058 s
% 13.68/2.75 % (2849351)Peak memory usage: 88 MB
% 13.68/2.75 % (2849351)Instructions burned: 121 (million)
% 13.68/2.75 % (2849352)Instruction limit reached!
% 13.68/2.75 % (2849352)------------------------------
% 13.68/2.75 % (2849352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/2.75 % (2849352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.75 % (2849352)CaDiCaL version: 2.1.3
% 13.68/2.75 % (2849352)Termination reason: Instruction limit
% 13.68/2.75 % (2849352)Termination phase: Saturation
% 13.68/2.75 % (2849352)Time elapsed: 0.072 s
% 13.68/2.75 % (2849352)Peak memory usage: 89 MB
% 13.68/2.75 % (2849352)Instructions burned: 140 (million)
% 13.68/2.75 % (2849353)------------------------------
% 13.68/2.75 % (2849353)------------------------------
% 13.68/2.75 % (2849364)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1815969951:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.68/2.75 % (2849363)lrs+10_1_sil=8000:sp=occurrence:random_seed=2908728755:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.68/2.75 % (2849366)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3436456501:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.68/2.75 % (2849364)Instruction limit reached!
% 13.68/2.75 % (2849364)------------------------------
% 13.68/2.75 % (2849364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849364)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849364)Termination reason: Instruction limit
% 20.80/3.77 % (2849364)Termination phase: Saturation
% 20.80/3.77 % (2849364)Time elapsed: 0.080 s
% 20.80/3.77 % (2849364)Peak memory usage: 90 MB
% 20.80/3.77 % (2849364)Instructions burned: 157 (million)
% 20.80/3.77 % (2849373)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=1024477101:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 20.80/3.77 % (2849363)Instruction limit reached!
% 20.80/3.77 % (2849363)------------------------------
% 20.80/3.77 % (2849363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849363)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849363)Termination reason: Instruction limit
% 20.80/3.77 % (2849363)Termination phase: Saturation
% 20.80/3.77 % (2849363)Time elapsed: 0.145 s
% 20.80/3.77 % (2849363)Peak memory usage: 92 MB
% 20.80/3.77 % (2849363)Instructions burned: 285 (million)
% 20.80/3.77 % (2849366)Instruction limit reached!
% 20.80/3.77 % (2849366)------------------------------
% 20.80/3.77 % (2849366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849366)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849366)Termination reason: Instruction limit
% 20.80/3.77 % (2849366)Termination phase: Saturation
% 20.80/3.77 % (2849366)Time elapsed: 0.171 s
% 20.80/3.77 % (2849366)Peak memory usage: 91 MB
% 20.80/3.77 % (2849366)Instructions burned: 325 (million)
% 20.80/3.77 % (2849373)Instruction limit reached!
% 20.80/3.77 % (2849373)------------------------------
% 20.80/3.77 % (2849373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849373)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849373)Termination reason: Instruction limit
% 20.80/3.77 % (2849373)Termination phase: Saturation
% 20.80/3.77 % (2849373)Time elapsed: 0.113 s
% 20.80/3.77 % (2849373)Peak memory usage: 92 MB
% 20.80/3.77 % (2849373)Instructions burned: 249 (million)
% 20.80/3.77 % (2849376)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=336698288:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.80/3.77 % (2849378)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1140798949:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.80/3.77 % (2849379)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2572965759:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.80/3.77 % (2849376)Instruction limit reached!
% 20.80/3.77 % (2849376)------------------------------
% 20.80/3.77 % (2849376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849376)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849376)Termination reason: Instruction limit
% 20.80/3.77 % (2849376)Termination phase: Saturation
% 20.80/3.77 % (2849376)Time elapsed: 0.152 s
% 20.80/3.77 % (2849376)Peak memory usage: 90 MB
% 20.80/3.77 % (2849376)Instructions burned: 294 (million)
% 20.80/3.77 % (2849379)Instruction limit reached!
% 20.80/3.77 % (2849379)------------------------------
% 20.80/3.77 % (2849379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.77 % (2849379)CaDiCaL version: 2.1.3
% 20.80/3.77 % (2849379)Termination reason: Instruction limit
% 20.80/3.77 % (2849379)Termination phase: Saturation
% 20.80/3.77 % (2849379)Time elapsed: 0.058 s
% 20.80/3.77 % (2849379)Peak memory usage: 89 MB
% 20.80/3.77 % (2849379)Instructions burned: 114 (million)
% 20.80/3.77 % (2849381)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=841631076:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.80/3.77 % (2849381)Refutation not found, incomplete strategy
% 20.80/3.77 % (2849381)------------------------------
% 20.80/3.77 % (2849381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.80/3.77 % (2849381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849381)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849381)Termination reason: Refutation not found, incomplete strategy
% 35.96/5.88 % (2849381)Time elapsed: 0.001 s
% 35.96/5.88 % (2849381)Peak memory usage: 88 MB
% 35.96/5.88 % (2849381)Instructions burned: 1 (million)
% 35.96/5.88 % (2849386)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2209752875:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 35.96/5.88 % (2849387)lrs+10_1_sil=8000:sp=occurrence:random_seed=2159111974:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 35.96/5.88 % (2849381)------------------------------
% 35.96/5.88 % (2849381)------------------------------
% 35.96/5.88 % (2849386)Instruction limit reached!
% 35.96/5.88 % (2849386)------------------------------
% 35.96/5.88 % (2849386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/5.88 % (2849386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849386)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849386)Termination reason: Instruction limit
% 35.96/5.88 % (2849386)Termination phase: Saturation
% 35.96/5.88 % (2849386)Time elapsed: 0.058 s
% 35.96/5.88 % (2849386)Peak memory usage: 89 MB
% 35.96/5.88 % (2849386)Instructions burned: 116 (million)
% 35.96/5.88 % (2849391)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1193795873:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 35.96/5.88 % (2849392)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1305908459:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 35.96/5.88 % (2849391)Instruction limit reached!
% 35.96/5.88 % (2849391)------------------------------
% 35.96/5.88 % (2849391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/5.88 % (2849391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849391)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849391)Termination reason: Instruction limit
% 35.96/5.88 % (2849391)Termination phase: Saturation
% 35.96/5.88 % (2849391)Time elapsed: 0.230 s
% 35.96/5.88 % (2849391)Peak memory usage: 90 MB
% 35.96/5.88 % (2849391)Instructions burned: 438 (million)
% 35.96/5.88 % (2849387)Instruction limit reached!
% 35.96/5.88 % (2849387)------------------------------
% 35.96/5.88 % (2849387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/5.88 % (2849387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849387)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849387)Termination reason: Instruction limit
% 35.96/5.88 % (2849387)Termination phase: Saturation
% 35.96/5.88 % (2849387)Time elapsed: 0.483 s
% 35.96/5.88 % (2849387)Peak memory usage: 98 MB
% 35.96/5.88 % (2849387)Instructions burned: 907 (million)
% 35.96/5.88 % (2849399)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1635286425:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 35.96/5.88 % (2849399)Refutation not found, incomplete strategy
% 35.96/5.88 % (2849399)------------------------------
% 35.96/5.88 % (2849399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/5.88 % (2849399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849399)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849399)Termination reason: Refutation not found, incomplete strategy
% 35.96/5.88 % (2849399)Time elapsed: 0.001 s
% 35.96/5.88 % (2849399)Peak memory usage: 88 MB
% 35.96/5.88 % (2849399)Instructions burned: 1 (million)
% 35.96/5.88 % (2849400)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2771318879:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 35.96/5.88 % (2849399)------------------------------
% 35.96/5.88 % (2849399)------------------------------
% 35.96/5.88 % (2849378)Instruction limit reached!
% 35.96/5.88 % (2849378)------------------------------
% 35.96/5.88 % (2849378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/5.88 % (2849378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.88 % (2849378)CaDiCaL version: 2.1.3
% 35.96/5.88 % (2849378)Termination reason: Instruction limit
% 35.96/5.88 % (2849378)Termination phase: Saturation
% 35.96/5.88 % (2849378)Time elapsed: 1.277 s
% 35.96/5.88 % (2849378)Peak memory usage: 142 MB
% 35.96/5.88 % (2849378)Instructions burned: 2350 (million)
% 35.96/5.88 % (2849400)Instruction limit reached!
% 35.96/5.88 % (2849400)------------------------------
% 35.96/5.88 % (2849400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849400)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849400)Termination reason: Instruction limit
% 35.05/6.54 % (2849400)Termination phase: Saturation
% 35.05/6.54 % (2849400)Time elapsed: 0.266 s
% 35.05/6.54 % (2849400)Peak memory usage: 94 MB
% 35.05/6.54 % (2849400)Instructions burned: 593 (million)
% 35.05/6.54 % (2849403)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=35329173:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 35.05/6.54 % (2849406)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=2478985852:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 35.05/6.54 % (2849407)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1910403490:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 35.05/6.54 % (2849407)Instruction limit reached!
% 35.05/6.54 % (2849407)------------------------------
% 35.05/6.54 % (2849407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849407)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849407)Termination reason: Instruction limit
% 35.05/6.54 % (2849407)Termination phase: Saturation
% 35.05/6.54 % (2849407)Time elapsed: 0.074 s
% 35.05/6.54 % (2849407)Peak memory usage: 90 MB
% 35.05/6.54 % (2849407)Instructions burned: 135 (million)
% 35.05/6.54 % (2849406)Instruction limit reached!
% 35.05/6.54 % (2849406)------------------------------
% 35.05/6.54 % (2849406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849406)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849406)Termination reason: Instruction limit
% 35.05/6.54 % (2849406)Termination phase: Saturation
% 35.05/6.54 % (2849406)Time elapsed: 0.075 s
% 35.05/6.54 % (2849406)Peak memory usage: 90 MB
% 35.05/6.54 % (2849406)Instructions burned: 125 (million)
% 35.05/6.54 % (2849413)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3602121975:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 35.05/6.54 % (2849413)Refutation not found, incomplete strategy
% 35.05/6.54 % (2849413)------------------------------
% 35.05/6.54 % (2849413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849413)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849413)Termination reason: Refutation not found, incomplete strategy
% 35.05/6.54 % (2849413)Time elapsed: 0.001 s
% 35.05/6.54 % (2849413)Peak memory usage: 88 MB
% 35.05/6.54 % (2849413)Instructions burned: 1 (million)
% 35.05/6.54 % (2849414)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4009994597:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 35.05/6.54 % (2849414)Refutation not found, incomplete strategy
% 35.05/6.54 % (2849414)------------------------------
% 35.05/6.54 % (2849414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849414)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849414)Termination reason: Refutation not found, incomplete strategy
% 35.05/6.54 % (2849414)Time elapsed: 0.002 s
% 35.05/6.54 % (2849414)Peak memory usage: 88 MB
% 35.05/6.54 % (2849414)Instructions burned: 1 (million)
% 35.05/6.54 % (2849413)------------------------------
% 35.05/6.54 % (2849413)------------------------------
% 35.05/6.54 % (2849414)------------------------------
% 35.05/6.54 % (2849414)------------------------------
% 35.05/6.54 % (2849419)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=696542546:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 35.05/6.54 % (2849420)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2615813875:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 35.05/6.54 % (2849420)Instruction limit reached!
% 35.05/6.54 % (2849420)------------------------------
% 35.05/6.54 % (2849420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849420)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849420)Termination reason: Instruction limit
% 35.05/6.54 % (2849420)Termination phase: Saturation
% 35.05/6.54 % (2849420)Time elapsed: 0.085 s
% 35.05/6.54 % (2849420)Peak memory usage: 90 MB
% 35.05/6.54 % (2849420)Instructions burned: 151 (million)
% 35.05/6.54 % (2849423)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3071094808:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 35.05/6.54 % (2849392)Instruction limit reached!
% 35.05/6.54 % (2849392)------------------------------
% 35.05/6.54 % (2849392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849392)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849392)Termination reason: Instruction limit
% 35.05/6.54 % (2849392)Termination phase: Saturation
% 35.05/6.54 % (2849392)Time elapsed: 2.543 s
% 35.05/6.54 % (2849392)Peak memory usage: 167 MB
% 35.05/6.54 % (2849392)Instructions burned: 5202 (million)
% 35.05/6.54 % (2849427)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=984539860:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 35.05/6.54 % (2849427)Instruction limit reached!
% 35.05/6.54 % (2849427)------------------------------
% 35.05/6.54 % (2849427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849427)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849427)Termination reason: Instruction limit
% 35.05/6.54 % (2849427)Termination phase: Saturation
% 35.05/6.54 % (2849427)Time elapsed: 0.162 s
% 35.05/6.54 % (2849427)Peak memory usage: 88 MB
% 35.05/6.54 % (2849427)Instructions burned: 669 (million)
% 35.05/6.54 % (2849429)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=356371655:s2a=on:i=185:s2at=1.8:fdi=4_2958 on theBenchmark for (2958ds/185Mi)
% 35.05/6.54 % (2849429)Instruction limit reached!
% 35.05/6.54 % (2849429)------------------------------
% 35.05/6.54 % (2849429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849429)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849429)Termination reason: Instruction limit
% 35.05/6.54 % (2849429)Termination phase: Saturation
% 35.05/6.54 % (2849429)Time elapsed: 0.074 s
% 35.05/6.54 % (2849429)Peak memory usage: 90 MB
% 35.05/6.54 % (2849429)Instructions burned: 185 (million)
% 35.05/6.54 % (2849431)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3768939714:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2956 on theBenchmark for (2956ds/193Mi)
% 35.05/6.54 % (2849431)Instruction limit reached!
% 35.05/6.54 % (2849431)------------------------------
% 35.05/6.54 % (2849431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849431)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849431)Termination reason: Instruction limit
% 35.05/6.54 % (2849431)Termination phase: Saturation
% 35.05/6.54 % (2849431)Time elapsed: 0.063 s
% 35.05/6.54 % (2849431)Peak memory usage: 90 MB
% 35.05/6.54 % (2849431)Instructions burned: 196 (million)
% 35.05/6.54 % (2849433)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=470612274:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2954 on theBenchmark for (2954ds/4850Mi)
% 35.05/6.54 % (2849433)Refutation not found, incomplete strategy
% 35.05/6.54 % (2849433)------------------------------
% 35.05/6.54 % (2849433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/6.54 % (2849433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/6.54 % (2849433)CaDiCaL version: 2.1.3
% 35.05/6.54 % (2849433)Termination reason: Refutation not found, incomplete strategy
% 35.05/6.54 % (2849433)Time elapsed: 0.001 s
% 35.05/6.54 % (2849433)Peak memory usage: 88 MB
% 35.05/6.54 % (2849433)Instructions burned: 1 (million)
% 35.05/6.54 % (2849433)------------------------------
% 35.05/6.54 % (2849433)------------------------------
% 35.05/6.54 % (2849439)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3720196688:i=12111:sd=1:ss=included_2949 on theBenchmark for (2949ds/12111Mi)
% 35.05/6.54 % (2849347)First to succeed.
% 35.05/6.54 % (2849347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2849322"
% 35.05/6.54 % (2849347)Refutation found. Thanks to Tanya!
% 35.05/6.54 % SZS status Theorem for theBenchmark
% 35.05/6.54 % SZS output start Proof for theBenchmark
% See solution above
% 41.24/6.68 % (2849347)------------------------------
% 41.24/6.68 % (2849347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/6.68 % (2849347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/6.68 % (2849347)CaDiCaL version: 2.1.3
% 41.24/6.68 % (2849347)Termination reason: Refutation
% 41.24/6.68 % (2849347)Time elapsed: 5.395 s
% 41.24/6.68 % (2849347)Peak memory usage: 212 MB
% 41.24/6.68 % (2849347)Instructions burned: 10101 (million)
% 41.24/6.68 % (2849347)------------------------------
% 41.24/6.68 % (2849347)------------------------------
% 41.24/6.68 % (2849322)Success in time 5.828 s
% 41.24/6.68 % Vampire exiting
%------------------------------------------------------------------------------