%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL004-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:12 PM UTC 2026
% Result : Unsatisfiable 5.40s 1.43s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 122 unt; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,axiom,
! [X2,X0,X1] : 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/Axioms/REL001-1.ax',dedekind_law_14) ).
fof(f18,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(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
converse(complement(sk1)) != complement(converse(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f25,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,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f28,plain,
zero = complement(top),
inference(forward_demodulation,[],[f24,f15]) ).
fof(f30,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f37,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f41,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f30,f15]) ).
fof(f193,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f37,f8]) ).
fof(f209,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f193,f10]) ).
fof(f214,plain,
one = converse(one),
inference(superposition,[],[f209,f8]) ).
fof(f221,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f209,f214]) ).
fof(f425,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f426,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f434,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f465,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f425,f1]) ).
fof(f487,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f434,f1]) ).
fof(f993,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f426,f15]) ).
fof(f1213,plain,
! [X0,X1] : join(top,X0) = join(complement(X1),join(X0,X1)),
inference(superposition,[],[f993,f1]) ).
fof(f1254,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f993,f465]) ).
fof(f4606,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f9,f209]) ).
fof(f4641,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f4606,f214]) ).
fof(f4662,plain,
! [X0] : composition(top,X0) = join(X0,composition(complement(one),X0)),
inference(superposition,[],[f4641,f15]) ).
fof(f8123,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f8809,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(X0),complement(X0))),
inference(superposition,[],[f8123,f8]) ).
fof(f8824,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f8123,f209]) ).
fof(f8860,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f8824,f221]) ).
fof(f8891,plain,
zero = join(zero,zero),
inference(superposition,[],[f8860,f28]) ).
fof(f8911,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f487,f8860]) ).
fof(f8924,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f8911,f465]) ).
fof(f8947,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f8891]) ).
fof(f9022,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f8924,f1254]) ).
fof(f9123,plain,
top = composition(top,top),
inference(superposition,[],[f9022,f4662]) ).
fof(f9124,plain,
top = converse(top),
inference(superposition,[],[f9022,f41]) ).
fof(f9412,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f8123,f9123]) ).
fof(f9418,plain,
complement(top) = composition(join(one,converse(top)),complement(top)),
inference(forward_demodulation,[],[f9412,f4641]) ).
fof(f9421,plain,
zero = composition(join(one,converse(top)),zero),
inference(forward_demodulation,[],[f9418,f28]) ).
fof(f9423,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f9421,f4641]) ).
fof(f9424,plain,
zero = join(zero,composition(top,zero)),
inference(forward_demodulation,[],[f9423,f9124]) ).
fof(f9626,plain,
composition(top,zero) = join(zero,composition(top,zero)),
inference(superposition,[],[f8947,f4662]) ).
fof(f9710,plain,
zero = composition(top,zero),
inference(forward_demodulation,[],[f9626,f9424]) ).
fof(f9725,plain,
! [X0] : join(zero,composition(X0,zero)) = composition(join(top,X0),zero),
inference(superposition,[],[f9,f9710]) ).
fof(f9727,plain,
! [X0] : join(zero,composition(X0,zero)) = composition(top,zero),
inference(forward_demodulation,[],[f9725,f9022]) ).
fof(f9730,plain,
! [X0] : zero = join(zero,composition(X0,zero)),
inference(forward_demodulation,[],[f9727,f9710]) ).
fof(f11984,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f12256,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f11984,f15]) ).
fof(f12262,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f425,f11984]) ).
fof(f12294,plain,
! [X0,X1] : top = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f12262,f8924]) ).
fof(f12298,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f12256,f1]) ).
fof(f12341,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f12294,f1]) ).
fof(f12345,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f12298,f8860]) ).
fof(f12376,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f12345,f28]) ).
fof(f12425,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f8947,f12376]) ).
fof(f12479,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f12425,f12376]) ).
fof(f12481,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f12425,f9730]) ).
fof(f12601,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f41,f12425]) ).
fof(f12623,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f12601,f9124]) ).
fof(f13123,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f10,f12623]) ).
fof(f13150,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f13123,f9124]) ).
fof(f13199,plain,
complement(top) = converse(zero),
inference(superposition,[],[f12479,f13150]) ).
fof(f13200,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f13199,f28]) ).
fof(f13257,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f37,f13200]) ).
fof(f13270,plain,
! [X0] : zero = converse(composition(zero,X0)),
inference(forward_demodulation,[],[f13257,f12481]) ).
fof(f13342,plain,
! [X0] : converse(zero) = composition(zero,X0),
inference(superposition,[],[f10,f13270]) ).
fof(f13371,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f13342,f13200]) ).
fof(f13513,plain,
! [X0,X1] : top = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f12341,f1]) ).
fof(f13603,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(superposition,[],[f11984,f12341]) ).
fof(f13668,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f13603,f12479]) ).
fof(f13728,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f13668,f28]) ).
fof(f13751,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f13728,f12425]) ).
fof(f13859,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(superposition,[],[f11984,f13513]) ).
fof(f13924,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f13859,f12479]) ).
fof(f13981,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f13924,f28]) ).
fof(f14003,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f13981,f12425]) ).
fof(f19164,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f12376,f13751]) ).
fof(f19180,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f19164,f12425]) ).
fof(f20498,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f12376,f14003]) ).
fof(f20520,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f20498,f12425]) ).
fof(f37450,plain,
! [X0,X1] : complement(one) = join(complement(one),composition(converse(join(complement(X0),complement(join(X0,X1)))),X0)),
inference(superposition,[],[f8809,f13751]) ).
fof(f37534,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(complement(X0)),X0)),
inference(forward_demodulation,[],[f37450,f19180]) ).
fof(f39873,plain,
! [X0] : join(top,complement(one)) = join(complement(composition(converse(complement(X0)),X0)),complement(one)),
inference(superposition,[],[f1213,f37534]) ).
fof(f39900,plain,
! [X0] : join(top,complement(one)) = join(complement(one),complement(composition(converse(complement(X0)),X0))),
inference(forward_demodulation,[],[f39873,f1]) ).
fof(f39932,plain,
! [X0] : top = join(complement(one),complement(composition(converse(complement(X0)),X0))),
inference(forward_demodulation,[],[f39900,f8924]) ).
fof(f42241,plain,
! [X0] : composition(complement(top),complement(join(complement(X0),complement(composition(converse(one),converse(complement(converse(X0)))))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),composition(complement(top),complement(join(complement(X0),complement(composition(converse(one),converse(complement(converse(X0))))))))),
inference(superposition,[],[f25,f39932]) ).
fof(f42324,plain,
! [X0] : composition(complement(top),complement(join(complement(X0),complement(converse(composition(complement(converse(X0)),one)))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),composition(complement(top),complement(join(complement(X0),complement(converse(composition(complement(converse(X0)),one))))))),
inference(forward_demodulation,[],[f42241,f12]) ).
fof(f42369,plain,
! [X0] : composition(complement(top),complement(join(complement(X0),complement(converse(complement(converse(X0))))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),composition(complement(top),complement(join(complement(X0),complement(converse(complement(converse(X0)))))))),
inference(forward_demodulation,[],[f42324,f8]) ).
fof(f42393,plain,
! [X0] : composition(zero,complement(join(complement(X0),complement(converse(complement(converse(X0))))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),composition(zero,complement(join(complement(X0),complement(converse(complement(converse(X0)))))))),
inference(forward_demodulation,[],[f42369,f28]) ).
fof(f42408,plain,
! [X0] : zero = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),zero),
inference(forward_demodulation,[],[f42393,f13371]) ).
fof(f42417,plain,
! [X0] : zero = join(zero,complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f42408,f1]) ).
fof(f42423,plain,
! [X0] : zero = complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f42417,f12425]) ).
fof(f42427,plain,
! [X0] : zero = complement(join(complement(X0),complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f42423,f221]) ).
fof(f44396,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(converse(complement(converse(X0)))))))) = X0,
inference(superposition,[],[f11984,f42427]) ).
fof(f44580,plain,
! [X0] : complement(join(complement(X0),complement(complement(converse(complement(converse(X0))))))) = X0,
inference(forward_demodulation,[],[f44396,f12425]) ).
fof(f44667,plain,
! [X0] : complement(join(complement(X0),converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f44580,f12479]) ).
fof(f45097,plain,
! [X0] : complement(X0) = join(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f12479,f44667]) ).
fof(f45845,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(superposition,[],[f45097,f12479]) ).
fof(f46098,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))),
inference(superposition,[],[f30,f45845]) ).
fof(f46137,plain,
! [X0] : converse(converse(X0)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f46098,f10]) ).
fof(f46205,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f46137,f10]) ).
fof(f46310,plain,
! [X0] : complement(complement(converse(complement(converse(X0))))) = join(complement(complement(converse(complement(converse(X0))))),complement(X0)),
inference(superposition,[],[f20520,f46205]) ).
fof(f46420,plain,
! [X0] : complement(complement(converse(complement(converse(X0))))) = join(complement(X0),complement(complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f46310,f1]) ).
fof(f46488,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f46420,f12479]) ).
fof(f46510,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(forward_demodulation,[],[f46488,f45097]) ).
fof(f46547,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f46510,f10]) ).
fof(f46813,plain,
complement(converse(sk1)) != complement(converse(sk1)),
inference(superposition,[],[f23,f46547]) ).
fof(f46868,plain,
$false,
inference(trivial_inequality_removal,[],[f46813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL004-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.50 % Computer : n017.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sun Sep 27 22:45:21 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.53 Running first-order model finding
% 0.24/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.40/1.43 % (3032617)Will run a generic schedule for satisfiability detection.
% 5.40/1.43 % (3032623)% WARNING: option uhcvi not known.
% 5.40/1.43 % (3032623)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=398187705:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.40/1.43 % (3032625)dis+10_1_sil=32000:sp=arity:random_seed=58574899:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.40/1.43 % (3032622)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1693107063_2999 on theBenchmark for (2999ds/0Mi)
% 5.40/1.43 % (3032624)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2526697459:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.40/1.43 % TRYING [1]
% 5.40/1.43 % TRYING [2]
% 5.40/1.43 % (3032626)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1274999693:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.40/1.43 % (3032627)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=790661675:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.43 % (3032628)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2001233427:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.40/1.43 % TRYING [3]
% 5.40/1.43 % TRYING [4]
% 5.40/1.43 % (3032625)Instruction limit reached!
% 5.40/1.43 % (3032625)------------------------------
% 5.40/1.43 % (3032625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032625)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032625)Termination reason: Instruction limit
% 5.40/1.43 % (3032625)Termination phase: Saturation
% 5.40/1.43 % (3032625)Time elapsed: 0.088 s
% 5.40/1.43 % (3032625)Peak memory usage: 12 MB
% 5.40/1.43 % (3032625)Instructions burned: 103 (million)
% 5.40/1.43 % (3032626)Instruction limit reached!
% 5.40/1.43 % (3032626)------------------------------
% 5.40/1.43 % (3032626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032626)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032626)Termination reason: Instruction limit
% 5.40/1.43 % (3032626)Termination phase: Saturation
% 5.40/1.43 % (3032626)Time elapsed: 0.086 s
% 5.40/1.43 % (3032626)Peak memory usage: 13 MB
% 5.40/1.43 % (3032626)Instructions burned: 117 (million)
% 5.40/1.43 % (3032636)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1363236452:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.40/1.43 % TRYING [1]
% 5.40/1.43 % TRYING [2]
% 5.40/1.43 % TRYING [3]
% 5.40/1.43 % (3032637)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3482818108:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.40/1.43 % (3032627)Instruction limit reached!
% 5.40/1.43 % (3032627)------------------------------
% 5.40/1.43 % (3032627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032627)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032627)Termination reason: Instruction limit
% 5.40/1.43 % (3032627)Termination phase: Saturation
% 5.40/1.43 % (3032627)Time elapsed: 0.129 s
% 5.40/1.43 % (3032627)Peak memory usage: 13 MB
% 5.40/1.43 % (3032627)Instructions burned: 131 (million)
% 5.40/1.43 % TRYING [4]
% 5.40/1.43 % (3032640)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2308982003:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.40/1.43 % (3032628)Instruction limit reached!
% 5.40/1.43 % (3032628)------------------------------
% 5.40/1.43 % (3032628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032628)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032628)Termination reason: Instruction limit
% 5.40/1.43 % (3032628)Termination phase: Saturation
% 5.40/1.43 % (3032628)Time elapsed: 0.159 s
% 5.40/1.43 % (3032628)Peak memory usage: 13 MB
% 5.40/1.43 % (3032628)Instructions burned: 159 (million)
% 5.40/1.43 % (3032642)ott-21_1_sil=16000:fs=off:random_seed=3873307128:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 5.40/1.43 % (3032637)Instruction limit reached!
% 5.40/1.43 % (3032637)------------------------------
% 5.40/1.43 % (3032637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032637)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032637)Termination reason: Instruction limit
% 5.40/1.43 % (3032637)Termination phase: Saturation
% 5.40/1.43 % (3032637)Time elapsed: 0.083 s
% 5.40/1.43 % (3032637)Peak memory usage: 13 MB
% 5.40/1.43 % (3032637)Instructions burned: 132 (million)
% 5.40/1.43 % (3032644)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2835290838:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.40/1.43 % TRYING [5]
% 5.40/1.43 % (3032642)Instruction limit reached!
% 5.40/1.43 % (3032642)------------------------------
% 5.40/1.43 % (3032642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032642)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032642)Termination reason: Instruction limit
% 5.40/1.43 % (3032642)Termination phase: Saturation
% 5.40/1.43 % (3032642)Time elapsed: 0.089 s
% 5.40/1.43 % (3032642)Peak memory usage: 12 MB
% 5.40/1.43 % (3032642)Instructions burned: 182 (million)
% 5.40/1.43 % (3032646)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=993554763:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.40/1.43 % TRYING [1]
% 5.40/1.43 % TRYING [2]
% 5.40/1.43 % TRYING [5]
% 5.40/1.43 % TRYING [3]
% 5.40/1.43 % (3032636)Instruction limit reached!
% 5.40/1.43 % (3032636)------------------------------
% 5.40/1.43 % (3032636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032636)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032636)Termination reason: Instruction limit
% 5.40/1.43 % (3032636)Termination phase: Finite model building constraint generation
% 5.40/1.43 % (3032636)Time elapsed: 0.276 s
% 5.40/1.43 % (3032636)Peak memory usage: 28 MB
% 5.40/1.43 % (3032636)Instructions burned: 717 (million)
% 5.40/1.43 % TRYING [4]
% 5.40/1.43 % (3032648)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3308231663:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.40/1.43 % (3032644)Instruction limit reached!
% 5.40/1.43 % (3032644)------------------------------
% 5.40/1.43 % (3032644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032644)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032644)Termination reason: Instruction limit
% 5.40/1.43 % (3032644)Termination phase: Saturation
% 5.40/1.43 % (3032644)Time elapsed: 0.270 s
% 5.40/1.43 % (3032644)Peak memory usage: 16 MB
% 5.40/1.43 % (3032644)Instructions burned: 478 (million)
% 5.40/1.43 % (3032650)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=369294143:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.40/1.43 % (3032646)Instruction limit reached!
% 5.40/1.43 % (3032646)------------------------------
% 5.40/1.43 % (3032646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032646)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032646)Termination reason: Instruction limit
% 5.40/1.43 % (3032646)Termination phase: Finite model building SAT solving
% 5.40/1.43 % (3032646)Time elapsed: 0.296 s
% 5.40/1.43 % (3032646)Peak memory usage: 23 MB
% 5.40/1.43 % (3032646)Instructions burned: 867 (million)
% 5.40/1.43 % (3032652)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=303684467:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 5.40/1.43 % (3032640)Instruction limit reached!
% 5.40/1.43 % (3032640)------------------------------
% 5.40/1.43 % (3032640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032640)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032640)Termination reason: Instruction limit
% 5.40/1.43 % (3032640)Termination phase: Saturation
% 5.40/1.43 % (3032640)Time elapsed: 0.503 s
% 5.40/1.43 % (3032640)Peak memory usage: 15 MB
% 5.40/1.43 % (3032640)Instructions burned: 685 (million)
% 5.40/1.43 % (3032654)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3489380233:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 5.40/1.43 % (3032624) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3032617-3032624"...
% 5.40/1.43 % (3032624)...printing done.
% 5.40/1.43 % (3032624)Refutation found. Thanks to Tanya!
% 5.40/1.43 % SZS status Unsatisfiable for theBenchmark
% 5.40/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.43 % (3032624)------------------------------
% 5.40/1.43 % (3032624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.43 % (3032624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.43 % (3032624)CaDiCaL version: 2.1.3
% 5.40/1.43 % (3032624)Termination reason: Refutation
% 5.40/1.43 % (3032624)Time elapsed: 0.835 s
% 5.40/1.43 % (3032624)Peak memory usage: 24 MB
% 5.40/1.43 % (3032624)Instructions burned: 1663 (million)
% 5.40/1.43 % (3032617)Success in time 0.888 s
% 5.40/1.43 % Vampire exiting
%------------------------------------------------------------------------------