%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL033+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:59 PM UTC 2026
% Result : Theorem 103.23s 15.80s
% Output : Refutation 103.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 25
% Syntax : Number of formulae : 338 ( 334 unt; 10 def)
% Number of atoms : 342 ( 341 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 : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 437 ( 434 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,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] :
( composition(X0,top) = X0
=> composition(meet(X0,X1),X2) = meet(X0,composition(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> composition(meet(X0,X1),X2) = meet(X0,composition(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( composition(meet(X0,X1),X2) != meet(X0,composition(X1,X2))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(meet(sK0,sK1),sK2) != meet(sK0,composition(sK1,sK2))
& sK0 = composition(sK0,top) ),
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(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,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
composition(meet(sK0,sK1),sK2) != meet(sK0,composition(sK1,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(complement(join(complement(sK0),complement(sK1))),sK2) != complement(join(complement(sK0),complement(composition(sK1,sK2)))),
inference(definition_unfolding,[],[f38,f24,f24]) ).
fof(f44,definition,
sF3 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f45,plain,
complement(sK0) = sF3,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF4 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f47,plain,
complement(sK1) = 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(sF6,sK2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
composition(sF6,sK2) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = composition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
composition(sK1,sK2) = 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 = join(sF3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f59,plain,
join(sF3,sF9) = 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,plain,
sF7 != sF11,
inference(definition_folding,[],[f43,f61,f59,f57,f55,f45,f53,f51,f49,f47,f45]) ).
fof(f63,definition,
sF12 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f64,plain,
composition(sK0,top) = sF12,
inference(reorient_equations,[],[f63]) ).
fof(f65,plain,
sK0 = sF12,
inference(definition_folding,[],[f37,f64]) ).
fof(f66,plain,
zero = complement(top),
inference(backward_demodulation,[],[f39,f32]) ).
fof(f67,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f23,f21]) ).
fof(f69,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(backward_demodulation,[],[f41,f21]) ).
fof(f70,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f31,f21]) ).
fof(f71,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f64,f65]) ).
fof(f72,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f73,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f75,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f30,f28]) ).
fof(f77,plain,
top = join(sK0,sF3),
inference(superposition,[],[f32,f45]) ).
fof(f86,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),
inference(superposition,[],[f67,f67]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f67,f21]) ).
fof(f134,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(f135,plain,
! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
inference(superposition,[],[f27,f71]) ).
fof(f136,plain,
! [X0] : composition(join(sK1,X0),sK2) = join(sF8,composition(X0,sK2)),
inference(superposition,[],[f27,f55]) ).
fof(f156,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f75,f26]) ).
fof(f164,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f156,f28]) ).
fof(f174,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f27,f164]) ).
fof(f175,plain,
one = converse(one),
inference(superposition,[],[f26,f164]) ).
fof(f176,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f164,f175]) ).
fof(f177,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f174,f175]) ).
fof(f193,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f197,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f22,f67]) ).
fof(f200,plain,
! [X0] : join(sF3,join(sF9,X0)) = join(sF10,X0),
inference(superposition,[],[f22,f59]) ).
fof(f207,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f229,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),join(complement(X0),X2)),
inference(superposition,[],[f197,f67]) ).
fof(f230,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f197,f32]) ).
fof(f233,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f197,f67]) ).
fof(f234,plain,
! [X2,X0,X1] : join(X0,join(complement(join(complement(X0),complement(complement(X2)))),X1)) = join(complement(join(complement(X0),X2)),join(X0,X1)),
inference(superposition,[],[f197,f197]) ).
fof(f242,plain,
! [X2,X0,X1] : join(X0,join(complement(join(complement(X0),complement(complement(X2)))),X1)) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(forward_demodulation,[],[f234,f207]) ).
fof(f243,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f233,f21]) ).
fof(f244,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f230,f207]) ).
fof(f245,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(X0),join(X2,complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f229,f207]) ).
fof(f256,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f244,f66]) ).
fof(f257,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(X0),join(X2,complement(join(complement(X1),join(complement(join(complement(X0),X1)),complement(X0)))))),
inference(forward_demodulation,[],[f245,f207]) ).
fof(f264,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(X0),join(X2,complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))))),
inference(forward_demodulation,[],[f257,f21]) ).
fof(f271,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(X2,complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1))))))),
inference(forward_demodulation,[],[f264,f22]) ).
fof(f289,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f134,f30]) ).
fof(f295,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f289,f29]) ).
fof(f305,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f295,f29]) ).
fof(f311,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f305,f30]) ).
fof(f330,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,X1))) = converse(join(composition(X0,X1),composition(X0,X2))),
inference(superposition,[],[f311,f21]) ).
fof(f331,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f311]) ).
fof(f343,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f331,f28]) ).
fof(f354,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,X1))) = converse(composition(X0,join(X1,X2))),
inference(backward_demodulation,[],[f330,f343]) ).
fof(f363,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f343,f26]) ).
fof(f379,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f22,f343]) ).
fof(f408,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f70,f66]) ).
fof(f415,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(composition(one,X0)))),
inference(superposition,[],[f70,f175]) ).
fof(f420,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sK0))),
inference(superposition,[],[f70,f71]) ).
fof(f430,plain,
complement(top) = join(complement(top),composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f420,f45]) ).
fof(f433,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f415,f176]) ).
fof(f435,plain,
zero = join(zero,composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f430,f66]) ).
fof(f437,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f433,f176]) ).
fof(f439,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f256,f437]) ).
fof(f447,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)),
inference(superposition,[],[f197,f437]) ).
fof(f451,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f197,f437]) ).
fof(f453,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f451,f67]) ).
fof(f457,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),X0)))),
inference(forward_demodulation,[],[f447,f207]) ).
fof(f458,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f243,f453]) ).
fof(f462,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))),
inference(forward_demodulation,[],[f457,f21]) ).
fof(f466,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(top))),
inference(forward_demodulation,[],[f462,f32]) ).
fof(f468,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f466,f207]) ).
fof(f470,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f468,f66]) ).
fof(f478,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f458,f197]) ).
fof(f481,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f458,f32]) ).
fof(f482,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f458,f458]) ).
fof(f484,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f458,f21]) ).
fof(f486,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f458]) ).
fof(f496,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(backward_demodulation,[],[f242,f486]) ).
fof(f499,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f481,f66]) ).
fof(f500,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f478,f22]) ).
fof(f513,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f197,f482]) ).
fof(f521,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f513,f207]) ).
fof(f523,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f521,f500]) ).
fof(f528,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f470,f523]) ).
fof(f538,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f439,f528]) ).
fof(f541,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f482,f538]) ).
fof(f546,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(backward_demodulation,[],[f86,f538]) ).
fof(f548,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f546,f22]) ).
fof(f601,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f538,f541]) ).
fof(f620,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(forward_demodulation,[],[f601,f538]) ).
fof(f623,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f620,f541]) ).
fof(f626,plain,
top = complement(zero),
inference(superposition,[],[f623,f66]) ).
fof(f627,plain,
sK0 = complement(sF3),
inference(superposition,[],[f623,f45]) ).
fof(f628,plain,
sK1 = complement(sF4),
inference(superposition,[],[f623,f47]) ).
fof(f629,plain,
sF5 = complement(sF6),
inference(superposition,[],[f623,f51]) ).
fof(f631,plain,
sF10 = complement(sF11),
inference(superposition,[],[f623,f61]) ).
fof(f638,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f458,f623]) ).
fof(f673,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f638,f21]) ).
fof(f683,plain,
complement(sF3) = join(complement(sF3),complement(sF5)),
inference(superposition,[],[f638,f49]) ).
fof(f687,plain,
complement(sF3) = join(complement(sF3),sF6),
inference(forward_demodulation,[],[f683,f51]) ).
fof(f690,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f548,f673]) ).
fof(f692,plain,
complement(sF3) = join(sF6,complement(sF3)),
inference(forward_demodulation,[],[f687,f21]) ).
fof(f694,plain,
sK0 = join(sF6,sK0),
inference(forward_demodulation,[],[f692,f627]) ).
fof(f696,plain,
sK0 = join(sK0,sF6),
inference(forward_demodulation,[],[f694,f21]) ).
fof(f705,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(top)),
inference(superposition,[],[f673,f32]) ).
fof(f712,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f673,f638]) ).
fof(f719,plain,
complement(sF4) = join(complement(sF4),complement(sF5)),
inference(superposition,[],[f673,f49]) ).
fof(f724,plain,
complement(sF4) = join(complement(sF4),sF6),
inference(forward_demodulation,[],[f719,f51]) ).
fof(f727,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f712,f21]) ).
fof(f730,plain,
! [X0] : complement(complement(X0)) = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[],[f705,f21]) ).
fof(f731,plain,
complement(sF4) = join(sF6,complement(sF4)),
inference(forward_demodulation,[],[f724,f21]) ).
fof(f734,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f727,f623]) ).
fof(f737,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f730,f623]) ).
fof(f738,plain,
sK1 = join(sF6,sK1),
inference(forward_demodulation,[],[f731,f628]) ).
fof(f741,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f734,f207]) ).
fof(f742,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f737,f66]) ).
fof(f743,plain,
sK1 = join(sK1,sF6),
inference(forward_demodulation,[],[f738,f21]) ).
fof(f746,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f741,f623]) ).
fof(f751,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f408,f742]) ).
fof(f752,plain,
zero = composition(converse(sK0),sF3),
inference(backward_demodulation,[],[f435,f742]) ).
fof(f786,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f690,f623]) ).
fof(f793,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),X0))),
inference(superposition,[],[f690,f623]) ).
fof(f804,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(superposition,[],[f690,f458]) ).
fof(f819,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f804,f193]) ).
fof(f830,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(X2,complement(join(complement(X1),join(complement(X0),complement(X1)))))),
inference(backward_demodulation,[],[f271,f793]) ).
fof(f838,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f819,f32]) ).
fof(f849,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(X2,complement(join(complement(X1),complement(X0))))),
inference(forward_demodulation,[],[f830,f746]) ).
fof(f876,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f21,f838]) ).
fof(f888,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f786,f623]) ).
fof(f899,plain,
! [X0,X1] : join(X1,X0) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f786,f21]) ).
fof(f958,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f899,f623]) ).
fof(f983,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,complement(join(complement(X2),join(X0,X1))))),
inference(superposition,[],[f22,f899]) ).
fof(f990,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X1,complement(join(complement(X2),join(X0,X1))))),
inference(forward_demodulation,[],[f983,f22]) ).
fof(f1175,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f105,f623]) ).
fof(f1187,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(complement(join(complement(join(X1,complement(complement(X0)))),X0)),complement(complement(X0))),
inference(superposition,[],[f105,f484]) ).
fof(f1203,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(complement(complement(X0)),complement(join(complement(join(X1,complement(complement(X0)))),X0))),
inference(forward_demodulation,[],[f1187,f21]) ).
fof(f1235,plain,
! [X0,X1] : join(X1,complement(complement(X0))) = join(complement(complement(X0)),complement(join(X0,complement(join(X1,complement(complement(X0))))))),
inference(forward_demodulation,[],[f1203,f21]) ).
fof(f1256,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(X0,complement(join(X1,X0))))),
inference(forward_demodulation,[],[f1235,f623]) ).
fof(f1270,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(complement(join(X1,X0)))),
inference(forward_demodulation,[],[f1256,f888]) ).
fof(f1279,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1270,f623]) ).
fof(f1306,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = join(composition(X1,converse(X2)),composition(join(converse(X0),X1),converse(X2))),
inference(superposition,[],[f1279,f134]) ).
fof(f1326,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = composition(join(X1,join(converse(X0),X1)),converse(X2)),
inference(forward_demodulation,[],[f1306,f27]) ).
fof(f1336,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = composition(join(X1,converse(X0)),converse(X2)),
inference(forward_demodulation,[],[f1326,f746]) ).
fof(f1345,plain,
! [X2,X0,X1] : join(X2,complement(join(X0,X1))) = join(X2,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f958,f22]) ).
fof(f1385,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X1,complement(join(complement(X2),X0)))),
inference(backward_demodulation,[],[f990,f1345]) ).
fof(f1398,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(X2,X1)),
inference(backward_demodulation,[],[f849,f1385]) ).
fof(f1423,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f1398,f623]) ).
fof(f1455,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(join(X2,X1),complement(X0)),
inference(superposition,[],[f21,f1398]) ).
fof(f1464,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X2,join(X1,complement(X0))),
inference(forward_demodulation,[],[f1455,f22]) ).
fof(f1829,plain,
composition(converse(sF3),sK0) = converse(zero),
inference(superposition,[],[f75,f752]) ).
fof(f2116,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(sF3)),complement(converse(zero)))),
inference(superposition,[],[f70,f1829]) ).
fof(f2123,plain,
complement(sK0) = join(complement(sK0),composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2116,f28]) ).
fof(f2129,plain,
sF3 = join(sF3,composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2123,f45]) ).
fof(f2136,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1175,f21]) ).
fof(f2181,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f1175,f1175]) ).
fof(f2231,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2181,f21]) ).
fof(f2266,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2231,f1464]) ).
fof(f2291,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f2266,f496]) ).
fof(f2313,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2291,f623]) ).
fof(f2332,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2313,f623]) ).
fof(f2361,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f2332,f21]) ).
fof(f2538,plain,
! [X2,X0,X1] : join(complement(join(X2,X1)),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,X2)))),
inference(superposition,[],[f2361,f1398]) ).
fof(f2547,plain,
join(sK0,complement(sK0)) = join(complement(sF6),sK0),
inference(superposition,[],[f2361,f696]) ).
fof(f2550,plain,
join(complement(sF4),sF3) = join(sF3,complement(sF5)),
inference(superposition,[],[f2361,f49]) ).
fof(f2603,plain,
join(complement(sF4),sF3) = join(sF3,sF6),
inference(forward_demodulation,[],[f2550,f51]) ).
fof(f2606,plain,
join(sK0,complement(sK0)) = join(sK0,complement(sF6)),
inference(forward_demodulation,[],[f2547,f21]) ).
fof(f2610,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X1,X2))) = join(complement(join(X2,X1)),complement(X0)),
inference(forward_demodulation,[],[f2538,f888]) ).
fof(f2642,plain,
join(sF3,complement(sF4)) = join(sF3,sF6),
inference(forward_demodulation,[],[f2603,f21]) ).
fof(f2645,plain,
join(sK0,complement(sK0)) = join(sK0,sF5),
inference(forward_demodulation,[],[f2606,f629]) ).
fof(f2672,plain,
join(sF3,sK1) = join(sF3,sF6),
inference(forward_demodulation,[],[f2642,f628]) ).
fof(f2675,plain,
top = join(sK0,sF5),
inference(forward_demodulation,[],[f2645,f32]) ).
fof(f2692,plain,
join(sK1,sF3) = join(sF3,sF6),
inference(forward_demodulation,[],[f2672,f21]) ).
fof(f2775,plain,
! [X2,X0,X1] : complement(join(X2,X1)) = join(complement(join(complement(X0),join(X1,X2))),complement(join(complement(complement(X0)),join(X2,X1)))),
inference(superposition,[],[f2136,f1398]) ).
fof(f2803,plain,
! [X2,X0,X1] : complement(join(X2,X1)) = join(complement(join(X0,join(X2,X1))),complement(join(complement(X0),join(X1,X2)))),
inference(superposition,[],[f2136,f1398]) ).
fof(f2887,plain,
! [X2,X1] : complement(join(X1,X2)) = complement(join(X2,X1)),
inference(forward_demodulation,[],[f2775,f2803]) ).
fof(f3128,plain,
! [X2,X0,X1] : complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1))))))))),
inference(superposition,[],[f69,f28]) ).
fof(f3309,plain,
! [X2,X0,X1] : composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[],[f30,f72]) ).
fof(f3315,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = converse(composition(X2,join(converse(X1),X0))),
inference(backward_demodulation,[],[f1336,f3309]) ).
fof(f3332,plain,
! [X2,X0,X1] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = converse(composition(X0,join(converse(X2),X1))),
inference(backward_demodulation,[],[f134,f3315]) ).
fof(f4615,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f73,f742]) ).
fof(f4633,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f4615,f28]) ).
fof(f5076,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f363,f876]) ).
fof(f5137,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f379,f27]) ).
fof(f5757,plain,
composition(sK1,sK2) = join(sF8,composition(sF6,sK2)),
inference(superposition,[],[f136,f743]) ).
fof(f5810,plain,
composition(sK1,sK2) = join(sF8,sF7),
inference(forward_demodulation,[],[f5757,f53]) ).
fof(f5818,plain,
composition(sK1,sK2) = join(sF7,sF8),
inference(forward_demodulation,[],[f5810,f21]) ).
fof(f5820,plain,
sF8 = join(sF7,sF8),
inference(forward_demodulation,[],[f5818,f55]) ).
fof(f5828,plain,
complement(sF7) = join(complement(sF7),complement(sF8)),
inference(superposition,[],[f638,f5820]) ).
fof(f5844,plain,
complement(sF7) = join(complement(sF7),sF9),
inference(forward_demodulation,[],[f5828,f57]) ).
fof(f5850,plain,
complement(sF7) = join(sF9,complement(sF7)),
inference(forward_demodulation,[],[f5844,f21]) ).
fof(f5871,plain,
join(sK0,composition(complement(sK0),top)) = composition(top,top),
inference(superposition,[],[f135,f32]) ).
fof(f5910,plain,
composition(top,top) = join(sK0,composition(sF3,top)),
inference(forward_demodulation,[],[f5871,f45]) ).
fof(f7712,plain,
zero = converse(zero),
inference(superposition,[],[f499,f4633]) ).
fof(f7717,plain,
sF3 = join(sF3,composition(sF3,complement(zero))),
inference(backward_demodulation,[],[f2129,f7712]) ).
fof(f7805,plain,
sF3 = join(sF3,composition(sF3,top)),
inference(forward_demodulation,[],[f7717,f626]) ).
fof(f7845,plain,
sF3 = composition(sF3,top),
inference(forward_demodulation,[],[f7805,f5076]) ).
fof(f7865,plain,
join(sK0,sF3) = composition(top,top),
inference(backward_demodulation,[],[f5910,f7845]) ).
fof(f7869,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f7865,f77]) ).
fof(f8012,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f70,f7869]) ).
fof(f8025,plain,
complement(top) = composition(join(one,converse(top)),complement(top)),
inference(forward_demodulation,[],[f8012,f177]) ).
fof(f8037,plain,
zero = composition(join(one,converse(top)),zero),
inference(forward_demodulation,[],[f8025,f66]) ).
fof(f8047,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f8037,f177]) ).
fof(f8053,plain,
zero = composition(converse(top),zero),
inference(forward_demodulation,[],[f8047,f742]) ).
fof(f8122,plain,
! [X0] : composition(converse(X0),zero) = converse(composition(zero,X0)),
inference(superposition,[],[f75,f7712]) ).
fof(f8125,plain,
zero = converse(composition(zero,top)),
inference(backward_demodulation,[],[f8053,f8122]) ).
fof(f8136,plain,
! [X0] : join(zero,composition(X0,converse(zero))) = converse(composition(zero,join(converse(X0),top))),
inference(superposition,[],[f3332,f8125]) ).
fof(f8137,plain,
converse(zero) = composition(zero,top),
inference(superposition,[],[f28,f8125]) ).
fof(f8163,plain,
zero = composition(zero,top),
inference(forward_demodulation,[],[f8137,f7712]) ).
fof(f8164,plain,
! [X0] : join(zero,composition(X0,converse(zero))) = converse(composition(zero,join(top,converse(X0)))),
inference(forward_demodulation,[],[f8136,f354]) ).
fof(f8179,plain,
! [X0] : join(zero,composition(X0,converse(zero))) = converse(composition(zero,top)),
inference(forward_demodulation,[],[f8164,f838]) ).
fof(f8184,plain,
! [X0] : converse(zero) = join(zero,composition(X0,converse(zero))),
inference(forward_demodulation,[],[f8179,f8163]) ).
fof(f8188,plain,
! [X0] : converse(zero) = composition(X0,converse(zero)),
inference(forward_demodulation,[],[f8184,f742]) ).
fof(f8191,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f8188,f7712]) ).
fof(f8455,plain,
join(sF10,complement(sF7)) = join(sF3,complement(sF7)),
inference(superposition,[],[f200,f5850]) ).
fof(f8930,plain,
! [X2,X0,X1] : join(X0,complement(join(X0,join(X1,X2)))) = join(complement(join(X2,X1)),X0),
inference(superposition,[],[f2361,f1423]) ).
fof(f8976,plain,
! [X2,X0,X1] : join(X0,complement(join(X1,X2))) = join(complement(join(X2,X1)),X0),
inference(forward_demodulation,[],[f8930,f888]) ).
fof(f10772,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f5137,f32]) ).
fof(f11314,plain,
! [X2,X0,X1] : join(composition(X1,top),composition(X0,complement(X2))) = join(composition(X1,X2),composition(join(X0,X1),complement(X2))),
inference(superposition,[],[f10772,f21]) ).
fof(f11377,plain,
! [X0] : join(composition(sF3,top),composition(sF6,complement(X0))) = join(composition(sF3,X0),composition(join(sK1,sF3),complement(X0))),
inference(superposition,[],[f10772,f2692]) ).
fof(f11444,plain,
! [X0] : join(composition(sF3,X0),composition(join(sK1,sF3),complement(X0))) = join(sF3,composition(sF6,complement(X0))),
inference(forward_demodulation,[],[f11377,f7845]) ).
fof(f11532,plain,
! [X0] : join(sF3,composition(sF6,complement(X0))) = join(composition(sF3,top),composition(sK1,complement(X0))),
inference(forward_demodulation,[],[f11444,f11314]) ).
fof(f11582,plain,
! [X0] : join(sF3,composition(sF6,complement(X0))) = join(sF3,composition(sK1,complement(X0))),
inference(forward_demodulation,[],[f11532,f7845]) ).
fof(f11876,plain,
! [X0] : join(sF3,composition(sF6,X0)) = join(sF3,composition(sK1,X0)),
inference(superposition,[],[f11582,f623]) ).
fof(f12669,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sF3),complement(join(complement(X0),complement(sF3))))))) = join(complement(join(complement(composition(converse(sF3),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sF3),complement(join(complement(X0),complement(sF3)))))))),
inference(superposition,[],[f3128,f7845]) ).
fof(f12725,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sF3),complement(join(complement(X0),sK0)))))) = join(complement(join(complement(composition(converse(sF3),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sF3),complement(join(complement(X0),sK0))))))),
inference(forward_demodulation,[],[f12669,f627]) ).
fof(f12787,plain,
! [X0] : complement(join(complement(top),complement(composition(converse(sF3),complement(join(sK0,complement(X0))))))) = join(complement(join(complement(composition(converse(sF3),X0)),complement(top))),complement(join(complement(top),complement(composition(converse(sF3),complement(join(sK0,complement(X0)))))))),
inference(forward_demodulation,[],[f12725,f2887]) ).
fof(f12826,plain,
! [X0] : complement(join(zero,complement(composition(converse(sF3),complement(join(sK0,complement(X0))))))) = join(complement(join(complement(composition(converse(sF3),X0)),zero)),complement(join(zero,complement(composition(converse(sF3),complement(join(sK0,complement(X0)))))))),
inference(forward_demodulation,[],[f12787,f66]) ).
fof(f12858,plain,
! [X0] : complement(complement(composition(converse(sF3),complement(join(sK0,complement(X0)))))) = join(complement(join(complement(composition(converse(sF3),X0)),zero)),complement(complement(composition(converse(sF3),complement(join(sK0,complement(X0))))))),
inference(forward_demodulation,[],[f12826,f742]) ).
fof(f12879,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = join(complement(join(complement(composition(converse(sF3),X0)),zero)),composition(converse(sF3),complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f12858,f623]) ).
fof(f12897,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = join(complement(join(zero,complement(composition(converse(sF3),X0)))),composition(converse(sF3),complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f12879,f2887]) ).
fof(f12912,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = join(complement(complement(composition(converse(sF3),X0))),composition(converse(sF3),complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f12897,f742]) ).
fof(f12923,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = join(composition(converse(sF3),X0),composition(converse(sF3),complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f12912,f623]) ).
fof(f12932,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = composition(converse(sF3),join(X0,complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f12923,f343]) ).
fof(f12937,plain,
! [X0] : composition(converse(sF3),X0) = composition(converse(sF3),complement(join(sK0,complement(X0)))),
inference(forward_demodulation,[],[f12932,f484]) ).
fof(f14706,plain,
! [X0,X1] : composition(converse(X0),join(complement(composition(X0,top)),X1)) = join(zero,composition(converse(X0),X1)),
inference(superposition,[],[f343,f751]) ).
fof(f14707,plain,
! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(composition(converse(X0),X1),zero),
inference(superposition,[],[f343,f751]) ).
fof(f14726,plain,
! [X0,X1] : join(zero,composition(converse(X0),X1)) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f14707,f21]) ).
fof(f14727,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(complement(composition(X0,top)),X1)),
inference(forward_demodulation,[],[f14706,f742]) ).
fof(f14759,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f14726,f742]) ).
fof(f15056,plain,
! [X2,X0,X1] : composition(converse(X0),complement(join(X2,X1))) = composition(converse(X0),join(complement(composition(X0,top)),complement(join(X1,X2)))),
inference(superposition,[],[f14759,f2610]) ).
fof(f15109,plain,
! [X2,X0,X1] : composition(converse(X0),complement(join(X2,X1))) = composition(converse(X0),complement(join(X1,X2))),
inference(forward_demodulation,[],[f15056,f14727]) ).
fof(f15785,plain,
! [X2,X0,X1] : composition(X0,complement(join(X2,X1))) = composition(X0,complement(join(X1,X2))),
inference(superposition,[],[f15109,f28]) ).
fof(f20593,plain,
! [X2,X0,X1] : join(complement(join(X0,X1)),X2) = join(complement(join(X1,X0)),X2),
inference(superposition,[],[f21,f8976]) ).
fof(f22381,plain,
join(complement(sF7),complement(sF10)) = join(complement(sF7),complement(join(sF3,complement(sF7)))),
inference(superposition,[],[f958,f8455]) ).
fof(f22408,plain,
join(complement(sF7),complement(sF10)) = join(complement(sF7),complement(sF3)),
inference(forward_demodulation,[],[f22381,f958]) ).
fof(f22430,plain,
join(complement(sF7),complement(sF10)) = join(complement(sF3),complement(sF7)),
inference(forward_demodulation,[],[f22408,f21]) ).
fof(f22441,plain,
join(complement(sF7),complement(sF10)) = join(sK0,complement(sF7)),
inference(forward_demodulation,[],[f22430,f627]) ).
fof(f22448,plain,
join(complement(sF7),sF11) = join(sK0,complement(sF7)),
inference(forward_demodulation,[],[f22441,f61]) ).
fof(f22452,plain,
join(sF11,complement(sF7)) = join(sK0,complement(sF7)),
inference(forward_demodulation,[],[f22448,f21]) ).
fof(f22472,plain,
join(sF11,complement(complement(sF7))) = join(sF11,complement(join(sK0,complement(sF7)))),
inference(superposition,[],[f888,f22452]) ).
fof(f22501,plain,
join(sF11,sF7) = join(sF11,complement(join(sK0,complement(sF7)))),
inference(forward_demodulation,[],[f22472,f623]) ).
fof(f22523,plain,
join(sF7,sF11) = join(sF11,complement(join(sK0,complement(sF7)))),
inference(forward_demodulation,[],[f22501,f21]) ).
fof(f26465,plain,
composition(converse(sF3),sF6) = composition(converse(sF3),complement(join(sK0,sF5))),
inference(superposition,[],[f12937,f629]) ).
fof(f26547,plain,
composition(converse(sF3),sF6) = composition(converse(sF3),complement(top)),
inference(forward_demodulation,[],[f26465,f2675]) ).
fof(f26589,plain,
composition(converse(sF3),zero) = composition(converse(sF3),sF6),
inference(forward_demodulation,[],[f26547,f66]) ).
fof(f26620,plain,
zero = composition(converse(sF3),sF6),
inference(forward_demodulation,[],[f26589,f8191]) ).
fof(f27344,plain,
converse(zero) = composition(converse(sF6),sF3),
inference(superposition,[],[f75,f26620]) ).
fof(f27395,plain,
zero = composition(converse(sF6),sF3),
inference(forward_demodulation,[],[f27344,f7712]) ).
fof(f27491,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),complement(zero)))) = join(complement(join(complement(composition(sF6,X0)),complement(sF3))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),complement(zero))))),
inference(superposition,[],[f40,f27395]) ).
fof(f27546,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),complement(zero)))) = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),complement(zero))))),
inference(forward_demodulation,[],[f27491,f20593]) ).
fof(f27566,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),top))) = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(complement(X0),top)))),
inference(forward_demodulation,[],[f27546,f626]) ).
fof(f27581,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(top,complement(X0)))) = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(join(top,complement(X0))))),
inference(forward_demodulation,[],[f27566,f15785]) ).
fof(f27591,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(top)) = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),complement(top))),
inference(forward_demodulation,[],[f27581,f838]) ).
fof(f27598,plain,
! [X0] : composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),zero) = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),composition(complement(join(complement(sF6),complement(composition(sF3,converse(X0))))),zero)),
inference(forward_demodulation,[],[f27591,f66]) ).
fof(f27604,plain,
! [X0] : zero = join(complement(join(complement(sF3),complement(composition(sF6,X0)))),zero),
inference(forward_demodulation,[],[f27598,f8191]) ).
fof(f27608,plain,
! [X0] : zero = join(zero,complement(join(complement(composition(sF6,X0)),complement(sF3)))),
inference(forward_demodulation,[],[f27604,f8976]) ).
fof(f27612,plain,
! [X0] : zero = complement(join(complement(composition(sF6,X0)),complement(sF3))),
inference(forward_demodulation,[],[f27608,f742]) ).
fof(f27615,plain,
! [X0] : zero = complement(join(complement(sF3),complement(composition(sF6,X0)))),
inference(forward_demodulation,[],[f27612,f2887]) ).
fof(f27618,plain,
! [X0] : zero = complement(join(sK0,complement(composition(sF6,X0)))),
inference(forward_demodulation,[],[f27615,f627]) ).
fof(f36675,plain,
zero = complement(join(sK0,complement(sF7))),
inference(superposition,[],[f27618,f53]) ).
fof(f36798,plain,
join(sF11,zero) = join(sF7,sF11),
inference(backward_demodulation,[],[f22523,f36675]) ).
fof(f36854,plain,
join(sF7,sF11) = join(zero,sF11),
inference(forward_demodulation,[],[f36798,f21]) ).
fof(f36897,plain,
sF11 = join(sF7,sF11),
inference(forward_demodulation,[],[f36854,f742]) ).
fof(f37048,plain,
complement(sF7) = join(complement(sF7),complement(sF11)),
inference(superposition,[],[f638,f36897]) ).
fof(f37087,plain,
complement(sF7) = join(complement(sF7),sF10),
inference(forward_demodulation,[],[f37048,f631]) ).
fof(f37102,plain,
complement(sF7) = join(sF10,complement(sF7)),
inference(forward_demodulation,[],[f37087,f21]) ).
fof(f37115,plain,
complement(sF7) = join(sF3,complement(sF7)),
inference(backward_demodulation,[],[f8455,f37102]) ).
fof(f46165,plain,
join(sF3,sF7) = join(sF3,composition(sK1,sK2)),
inference(superposition,[],[f11876,f53]) ).
fof(f46255,plain,
join(sF3,sF8) = join(sF3,sF7),
inference(forward_demodulation,[],[f46165,f55]) ).
fof(f46424,plain,
join(sF3,complement(sF8)) = join(sF3,complement(join(sF3,sF7))),
inference(superposition,[],[f888,f46255]) ).
fof(f46462,plain,
join(sF3,complement(sF8)) = join(sF3,complement(sF7)),
inference(forward_demodulation,[],[f46424,f888]) ).
fof(f46488,plain,
complement(sF7) = join(sF3,complement(sF8)),
inference(forward_demodulation,[],[f46462,f37115]) ).
fof(f46517,plain,
join(sF3,sF9) = complement(sF7),
inference(forward_demodulation,[],[f46488,f57]) ).
fof(f46526,plain,
sF10 = complement(sF7),
inference(forward_demodulation,[],[f46517,f59]) ).
fof(f46784,plain,
sF7 = complement(sF10),
inference(superposition,[],[f623,f46526]) ).
fof(f46845,plain,
sF7 = sF11,
inference(backward_demodulation,[],[f61,f46784]) ).
fof(f46857,plain,
$false,
inference(forward_subsumption_resolution,[],[f46845,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL033+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n014.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 22:54:46 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.55 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
% 25.17/4.87 % (1263083)Detected formulas, will run a generic FOF schedule.
% 25.17/4.87 % (1263089)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=1406069533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 25.17/4.87 % (1263088)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=800654226:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 25.17/4.87 % (1263090)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=4112193812:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 25.17/4.87 % (1263091)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4144169191:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 25.17/4.87 % (1263092)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4221142438:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 25.17/4.87 % (1263093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1973048644:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 25.17/4.87 % (1263094)dis-21_1_sil=8000:lcm=predicate:random_seed=669141420: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)
% 25.17/4.87 % (1263094)Refutation not found, incomplete strategy
% 25.17/4.87 % (1263094)------------------------------
% 25.17/4.87 % (1263094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.87 % (1263094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.87 % (1263094)CaDiCaL version: 2.1.3
% 25.17/4.87 % (1263094)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.87 % (1263094)Time elapsed: 0.003 s
% 25.17/4.87 % (1263094)Peak memory usage: 88 MB
% 25.17/4.87 % (1263094)Instructions burned: 1 (million)
% 25.17/4.87 % (1263091)Instruction limit reached!
% 25.17/4.87 % (1263091)------------------------------
% 25.17/4.87 % (1263091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.87 % (1263091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.87 % (1263091)CaDiCaL version: 2.1.3
% 25.17/4.87 % (1263091)Termination reason: Instruction limit
% 25.17/4.87 % (1263091)Termination phase: Saturation
% 25.17/4.87 % (1263091)Time elapsed: 0.104 s
% 25.17/4.87 % (1263091)Peak memory usage: 90 MB
% 25.17/4.87 % (1263091)Instructions burned: 109 (million)
% 25.17/4.87 % (1263092)Instruction limit reached!
% 25.17/4.87 % (1263092)------------------------------
% 25.17/4.87 % (1263092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.87 % (1263092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.87 % (1263092)CaDiCaL version: 2.1.3
% 25.17/4.87 % (1263092)Termination reason: Instruction limit
% 25.17/4.87 % (1263092)Termination phase: Saturation
% 25.17/4.87 % (1263092)Time elapsed: 0.115 s
% 25.17/4.87 % (1263092)Peak memory usage: 89 MB
% 25.17/4.87 % (1263092)Instructions burned: 119 (million)
% 25.17/4.87 % (1263093)Instruction limit reached!
% 25.17/4.87 % (1263093)------------------------------
% 25.17/4.87 % (1263093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.87 % (1263093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.87 % (1263093)CaDiCaL version: 2.1.3
% 25.17/4.87 % (1263093)Termination reason: Instruction limit
% 25.17/4.87 % (1263093)Termination phase: Saturation
% 25.17/4.87 % (1263093)Time elapsed: 0.138 s
% 25.17/4.87 % (1263093)Peak memory usage: 90 MB
% 25.17/4.87 % (1263093)Instructions burned: 139 (million)
% 25.17/4.87 % (1263102)lrs+10_1_sil=8000:sp=occurrence:random_seed=2703410914:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 25.17/4.87 % (1263103)lrs+10_1_sil=32000:urr=on:br=off:random_seed=615902018:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 25.17/4.87 % (1263094)------------------------------
% 25.17/4.87 % (1263094)------------------------------
% 25.17/4.87 % (1263104)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2044663297:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 25.17/4.87 % (1263103)Instruction limit reached!
% 25.17/4.87 % (1263103)------------------------------
% 25.17/4.87 % (1263103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263103)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263103)Termination reason: Instruction limit
% 37.66/6.69 % (1263103)Termination phase: Saturation
% 37.66/6.69 % (1263103)Time elapsed: 0.153 s
% 37.66/6.69 % (1263103)Peak memory usage: 91 MB
% 37.66/6.69 % (1263103)Instructions burned: 157 (million)
% 37.66/6.69 % (1263102)Instruction limit reached!
% 37.66/6.69 % (1263102)------------------------------
% 37.66/6.69 % (1263102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263102)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263102)Termination reason: Instruction limit
% 37.66/6.69 % (1263102)Termination phase: Saturation
% 37.66/6.69 % (1263102)Time elapsed: 0.284 s
% 37.66/6.69 % (1263102)Peak memory usage: 91 MB
% 37.66/6.69 % (1263102)Instructions burned: 285 (million)
% 37.66/6.69 % (1263107)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=2666284055:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 37.66/6.69 % (1263104)Instruction limit reached!
% 37.66/6.69 % (1263104)------------------------------
% 37.66/6.69 % (1263104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263104)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263104)Termination reason: Instruction limit
% 37.66/6.69 % (1263104)Termination phase: Saturation
% 37.66/6.69 % (1263104)Time elapsed: 0.326 s
% 37.66/6.69 % (1263104)Peak memory usage: 92 MB
% 37.66/6.69 % (1263104)Instructions burned: 325 (million)
% 37.66/6.69 % (1263109)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1122743789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 37.66/6.69 % (1263110)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1279420454:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 37.66/6.69 % (1263107)Instruction limit reached!
% 37.66/6.69 % (1263107)------------------------------
% 37.66/6.69 % (1263107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263107)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263107)Termination reason: Instruction limit
% 37.66/6.69 % (1263107)Termination phase: Saturation
% 37.66/6.69 % (1263107)Time elapsed: 0.251 s
% 37.66/6.69 % (1263107)Peak memory usage: 92 MB
% 37.66/6.69 % (1263107)Instructions burned: 249 (million)
% 37.66/6.69 % (1263112)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2417079793:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 37.66/6.69 % (1263109)Instruction limit reached!
% 37.66/6.69 % (1263109)------------------------------
% 37.66/6.69 % (1263109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263109)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263109)Termination reason: Instruction limit
% 37.66/6.69 % (1263109)Termination phase: Saturation
% 37.66/6.69 % (1263109)Time elapsed: 0.292 s
% 37.66/6.69 % (1263109)Peak memory usage: 91 MB
% 37.66/6.69 % (1263109)Instructions burned: 294 (million)
% 37.66/6.69 % (1263112)Instruction limit reached!
% 37.66/6.69 % (1263112)------------------------------
% 37.66/6.69 % (1263112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.66/6.69 % (1263112)CaDiCaL version: 2.1.3
% 37.66/6.69 % (1263112)Termination reason: Instruction limit
% 37.66/6.69 % (1263112)Termination phase: Saturation
% 37.66/6.69 % (1263112)Time elapsed: 0.115 s
% 37.66/6.69 % (1263112)Peak memory usage: 90 MB
% 37.66/6.69 % (1263112)Instructions burned: 113 (million)
% 37.66/6.69 % (1263115)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4207103143:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 37.66/6.69 % (1263115)Refutation not found, incomplete strategy
% 37.66/6.69 % (1263115)------------------------------
% 37.66/6.69 % (1263115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.66/6.69 % (1263115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263115)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263115)Termination reason: Refutation not found, incomplete strategy
% 74.58/11.80 % (1263115)Time elapsed: 0.002 s
% 74.58/11.80 % (1263115)Peak memory usage: 88 MB
% 74.58/11.80 % (1263115)Instructions burned: 1 (million)
% 74.58/11.80 % (1263117)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4203071687:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 74.58/11.80 % (1263118)lrs+10_1_sil=8000:sp=occurrence:random_seed=3550564554:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 74.58/11.80 % (1263117)Instruction limit reached!
% 74.58/11.80 % (1263117)------------------------------
% 74.58/11.80 % (1263117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.58/11.80 % (1263117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263117)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263117)Termination reason: Instruction limit
% 74.58/11.80 % (1263117)Termination phase: Saturation
% 74.58/11.80 % (1263117)Time elapsed: 0.105 s
% 74.58/11.80 % (1263117)Peak memory usage: 89 MB
% 74.58/11.80 % (1263117)Instructions burned: 115 (million)
% 74.58/11.80 % (1263115)------------------------------
% 74.58/11.80 % (1263115)------------------------------
% 74.58/11.80 % (1263122)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1385488608:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 74.58/11.80 % (1263123)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=925561279:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 74.58/11.80 % (1263122)Instruction limit reached!
% 74.58/11.80 % (1263122)------------------------------
% 74.58/11.80 % (1263122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.58/11.80 % (1263122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263122)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263122)Termination reason: Instruction limit
% 74.58/11.80 % (1263122)Termination phase: Saturation
% 74.58/11.80 % (1263122)Time elapsed: 0.368 s
% 74.58/11.80 % (1263122)Peak memory usage: 92 MB
% 74.58/11.80 % (1263122)Instructions burned: 437 (million)
% 74.58/11.80 % (1263118)Instruction limit reached!
% 74.58/11.80 % (1263118)------------------------------
% 74.58/11.80 % (1263118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.58/11.80 % (1263118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263118)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263118)Termination reason: Instruction limit
% 74.58/11.80 % (1263118)Termination phase: Saturation
% 74.58/11.80 % (1263118)Time elapsed: 0.865 s
% 74.58/11.80 % (1263118)Peak memory usage: 97 MB
% 74.58/11.80 % (1263118)Instructions burned: 908 (million)
% 74.58/11.80 % (1263126)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1972512785:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 74.58/11.80 % (1263126)Refutation not found, incomplete strategy
% 74.58/11.80 % (1263126)------------------------------
% 74.58/11.80 % (1263126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.58/11.80 % (1263126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263126)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263126)Termination reason: Refutation not found, incomplete strategy
% 74.58/11.80 % (1263126)Time elapsed: 0.004 s
% 74.58/11.80 % (1263126)Peak memory usage: 89 MB
% 74.58/11.80 % (1263126)Instructions burned: 2 (million)
% 74.58/11.80 % (1263127)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1876302527:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 74.58/11.80 % (1263126)------------------------------
% 74.58/11.80 % (1263126)------------------------------
% 74.58/11.80 % (1263127)Instruction limit reached!
% 74.58/11.80 % (1263127)------------------------------
% 74.58/11.80 % (1263127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.58/11.80 % (1263127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.58/11.80 % (1263127)CaDiCaL version: 2.1.3
% 74.58/11.80 % (1263127)Termination reason: Instruction limit
% 74.58/11.80 % (1263127)Termination phase: Saturation
% 74.58/11.80 % (1263127)Time elapsed: 0.541 s
% 74.58/11.80 % (1263127)Peak memory usage: 90 MB
% 74.58/11.80 % (1263127)Instructions burned: 592 (million)
% 74.58/11.80 % (1263130)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2554791209:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 93.24/15.80 % (1263110)Instruction limit reached!
% 93.24/15.80 % (1263110)------------------------------
% 93.24/15.80 % (1263110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263110)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263110)Termination reason: Instruction limit
% 93.24/15.80 % (1263110)Termination phase: Saturation
% 93.24/15.80 % (1263110)Time elapsed: 2.502 s
% 93.24/15.80 % (1263110)Peak memory usage: 141 MB
% 93.24/15.80 % (1263110)Instructions burned: 2351 (million)
% 93.24/15.80 % (1263131)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=3389425204:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 93.24/15.80 % (1263131)Instruction limit reached!
% 93.24/15.80 % (1263131)------------------------------
% 93.24/15.80 % (1263131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263131)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263131)Termination reason: Instruction limit
% 93.24/15.80 % (1263131)Termination phase: Saturation
% 93.24/15.80 % (1263131)Time elapsed: 0.139 s
% 93.24/15.80 % (1263131)Peak memory usage: 91 MB
% 93.24/15.80 % (1263131)Instructions burned: 125 (million)
% 93.24/15.80 % (1263133)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=145225150:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 93.24/15.80 % (1263133)Instruction limit reached!
% 93.24/15.80 % (1263133)------------------------------
% 93.24/15.80 % (1263133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263133)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263133)Termination reason: Instruction limit
% 93.24/15.80 % (1263133)Termination phase: Saturation
% 93.24/15.80 % (1263133)Time elapsed: 0.133 s
% 93.24/15.80 % (1263133)Peak memory usage: 89 MB
% 93.24/15.80 % (1263133)Instructions burned: 134 (million)
% 93.24/15.80 % (1263135)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1735507216:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 93.24/15.80 % (1263135)Refutation not found, incomplete strategy
% 93.24/15.80 % (1263135)------------------------------
% 93.24/15.80 % (1263135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263135)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263135)Termination reason: Refutation not found, incomplete strategy
% 93.24/15.80 % (1263135)Time elapsed: 0.002 s
% 93.24/15.80 % (1263135)Peak memory usage: 88 MB
% 93.24/15.80 % (1263137)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1869982437:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 93.24/15.80 % (1263137)Refutation not found, incomplete strategy
% 93.24/15.80 % (1263137)------------------------------
% 93.24/15.80 % (1263137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263137)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263137)Termination reason: Refutation not found, incomplete strategy
% 93.24/15.80 % (1263137)Time elapsed: 0.003 s
% 93.24/15.80 % (1263137)Peak memory usage: 88 MB
% 93.24/15.80 % (1263137)Instructions burned: 1 (million)
% 93.24/15.80 % (1263135)------------------------------
% 93.24/15.80 % (1263135)------------------------------
% 93.24/15.80 % (1263137)------------------------------
% 93.24/15.80 % (1263137)------------------------------
% 93.24/15.80 % (1263140)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=1337502084:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 93.24/15.80 % (1263141)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=425418393:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 93.24/15.80 % (1263141)Instruction limit reached!
% 93.24/15.80 % (1263141)------------------------------
% 93.24/15.80 % (1263141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263141)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263141)Termination reason: Instruction limit
% 93.24/15.80 % (1263141)Termination phase: Saturation
% 93.24/15.80 % (1263141)Time elapsed: 0.155 s
% 93.24/15.80 % (1263141)Peak memory usage: 90 MB
% 93.24/15.80 % (1263141)Instructions burned: 150 (million)
% 93.24/15.80 % (1263144)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3035773571:i=14155:bd=all_2946 on theBenchmark for (2946ds/14155Mi)
% 93.24/15.80 % (1263123)Instruction limit reached!
% 93.24/15.80 % (1263123)------------------------------
% 93.24/15.80 % (1263123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.24/15.80 % (1263123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.24/15.80 % (1263123)CaDiCaL version: 2.1.3
% 93.24/15.80 % (1263123)Termination reason: Instruction limit
% 93.24/15.80 % (1263123)Termination phase: Saturation
% 93.24/15.80 % (1263123)Time elapsed: 5.352 s
% 103.23/15.80 % (1263123)Peak memory usage: 166 MB
% 103.23/15.80 % (1263123)Instructions burned: 5202 (million)
% 103.23/15.80 % (1263146)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3873933074:i=667:av=off:fsr=off_2923 on theBenchmark for (2923ds/667Mi)
% 103.23/15.80 % (1263146)Instruction limit reached!
% 103.23/15.80 % (1263146)------------------------------
% 103.23/15.80 % (1263146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263146)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263146)Termination reason: Instruction limit
% 103.23/15.80 % (1263146)Termination phase: Saturation
% 103.23/15.80 % (1263146)Time elapsed: 0.502 s
% 103.23/15.80 % (1263146)Peak memory usage: 89 MB
% 103.23/15.80 % (1263146)Instructions burned: 668 (million)
% 103.23/15.80 % (1263148)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=472435653:s2a=on:i=185:s2at=1.8:fdi=4_2914 on theBenchmark for (2914ds/185Mi)
% 103.23/15.80 % (1263148)Instruction limit reached!
% 103.23/15.80 % (1263148)------------------------------
% 103.23/15.80 % (1263148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263148)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263148)Termination reason: Instruction limit
% 103.23/15.80 % (1263148)Termination phase: Saturation
% 103.23/15.80 % (1263148)Time elapsed: 0.182 s
% 103.23/15.80 % (1263148)Peak memory usage: 90 MB
% 103.23/15.80 % (1263148)Instructions burned: 186 (million)
% 103.23/15.80 % (1263150)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3336949481:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2910 on theBenchmark for (2910ds/193Mi)
% 103.23/15.80 % (1263150)Instruction limit reached!
% 103.23/15.80 % (1263150)------------------------------
% 103.23/15.80 % (1263150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263150)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263150)Termination reason: Instruction limit
% 103.23/15.80 % (1263150)Termination phase: Saturation
% 103.23/15.80 % (1263150)Time elapsed: 0.192 s
% 103.23/15.80 % (1263150)Peak memory usage: 91 MB
% 103.23/15.80 % (1263150)Instructions burned: 194 (million)
% 103.23/15.80 % (1263152)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3666006105:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2905 on theBenchmark for (2905ds/4850Mi)
% 103.23/15.80 % (1263152)Refutation not found, incomplete strategy
% 103.23/15.80 % (1263152)------------------------------
% 103.23/15.80 % (1263152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263152)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263152)Termination reason: Refutation not found, incomplete strategy
% 103.23/15.80 % (1263152)Time elapsed: 0.002 s
% 103.23/15.80 % (1263152)Peak memory usage: 88 MB
% 103.23/15.80 % (1263152)Instructions burned: 1 (million)
% 103.23/15.80 % (1263152)------------------------------
% 103.23/15.80 % (1263152)------------------------------
% 103.23/15.80 % (1263154)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2479001906:i=12111:sd=1:ss=included_2898 on theBenchmark for (2898ds/12111Mi)
% 103.23/15.80 % (1263140)Instruction limit reached!
% 103.23/15.80 % (1263140)------------------------------
% 103.23/15.80 % (1263140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263140)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263140)Termination reason: Instruction limit
% 103.23/15.80 % (1263140)Termination phase: Saturation
% 103.23/15.80 % (1263140)Time elapsed: 6.132 s
% 103.23/15.80 % (1263140)Peak memory usage: 186 MB
% 103.23/15.80 % (1263140)Instructions burned: 6060 (million)
% 103.23/15.80 % (1263156)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3865491728:i=319:kws=precedence:fsr=off_2888 on theBenchmark for (2888ds/319Mi)
% 103.23/15.80 % (1263156)Instruction limit reached!
% 103.23/15.80 % (1263156)------------------------------
% 103.23/15.80 % (1263156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263156)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263156)Termination reason: Instruction limit
% 103.23/15.80 % (1263156)Termination phase: Saturation
% 103.23/15.80 % (1263156)Time elapsed: 0.318 s
% 103.23/15.80 % (1263156)Peak memory usage: 93 MB
% 103.23/15.80 % (1263156)Instructions burned: 319 (million)
% 103.23/15.80 % (1263158)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3606786770:i=2064:ep=RST_2882 on theBenchmark for (2882ds/2064Mi)
% 103.23/15.80 % (1263144)First to succeed.
% 103.23/15.80 % (1263158)Instruction limit reached!
% 103.23/15.80 % (1263158)------------------------------
% 103.23/15.80 % (1263158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.23/15.80 % (1263158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.23/15.80 % (1263158)CaDiCaL version: 2.1.3
% 103.23/15.80 % (1263158)Termination reason: Instruction limit
% 103.23/15.80 % (1263158)Termination phase: Saturation
% 103.23/15.80 % (1263158)Time elapsed: 1.949 s
% 103.23/15.80 % (1263158)Peak memory usage: 105 MB
% 103.23/15.80 % (1263158)Instructions burned: 2065 (million)
% 103.23/15.80 % (1263144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1263083"
% 103.23/15.80 % (1263160)dis-1011_128_sil=32000:random_seed=2446604314:i=3706:ep=RST:av=off_2859 on theBenchmark for (2859ds/3706Mi)
% 103.23/15.80 % (1263144)Refutation found. Thanks to Tanya!
% 103.23/15.80 % SZS status Theorem for theBenchmark
% 103.23/15.80 % SZS output start Proof for theBenchmark
% See solution above
% 103.59/16.20 % (1263144)------------------------------
% 103.59/16.20 % (1263144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.59/16.20 % (1263144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.59/16.20 % (1263144)CaDiCaL version: 2.1.3
% 103.59/16.20 % (1263144)Termination reason: Refutation
% 103.59/16.20 % (1263144)Time elapsed: 8.286 s
% 103.59/16.20 % (1263144)Peak memory usage: 189 MB
% 103.59/16.20 % (1263144)Instructions burned: 7682 (million)
% 103.59/16.20 % (1263144)------------------------------
% 103.59/16.20 % (1263144)------------------------------
% 103.59/16.20 % (1263083)Success in time 14.485 s
% 103.59/16.20 % Vampire exiting
%------------------------------------------------------------------------------