%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL033+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:59 PM UTC 2026
% Result : Theorem 68.37s 10.60s
% Output : Refutation 69.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 29
% Syntax : Number of formulae : 387 ( 346 unt; 14 def)
% Number of atoms : 434 ( 388 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 93 ( 46 ~; 39 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 350 ( 0 sgn 347 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law) ).
fof(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/sandbox/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> ( join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2))) = meet(X0,composition(X1,X2))
& join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> ( join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2))) = meet(X0,composition(X1,X2))
& join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( meet(X0,composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(X0,composition(X1,X2)))
| composition(meet(X0,X1),X2) != join(meet(X0,composition(X1,X2)),composition(meet(X0,X1),X2)) )
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ( meet(sK0,composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(sK0,composition(sK1,sK2)))
| composition(meet(sK0,sK1),sK2) != join(meet(sK0,composition(sK1,sK2)),composition(meet(sK0,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,
( meet(sK0,composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(sK0,composition(sK1,sK2)))
| composition(meet(sK0,sK1),sK2) != join(meet(sK0,composition(sK1,sK2)),composition(meet(sK0,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,
( complement(join(complement(sK0),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(sK0),complement(composition(sK1,sK2)))))
| composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(join(complement(sK0),complement(composition(sK1,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2)) ),
inference(definition_unfolding,[],[f38,f24,f24,f24,f24,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 = composition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f47,plain,
composition(sK1,sK2) = sF4,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f49,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f51,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
complement(sK1) = sF8,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF9 = join(sF3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f57,plain,
join(sF3,sF8) = sF9,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f59,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF11 = composition(sF10,sK2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f61,plain,
composition(sF10,sK2) = sF11,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF12 = join(sF11,sF7),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f63,plain,
join(sF11,sF7) = sF12,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF13 = join(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f65,plain,
join(sF7,sF11) = sF13,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
( sF7 != sF12
| sF11 != sF13 ),
inference(definition_folding,[],[f43,f65,f61,f59,f57,f55,f45,f53,f51,f49,f47,f45,f61,f59,f57,f55,f45,f63,f53,f51,f49,f47,f45,f61,f59,f57,f55,f45,f53,f51,f49,f47,f45]) ).
fof(f67,definition,
sF14 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f68,plain,
composition(sK0,top) = sF14,
inference(reorient_equations,[],[f67]) ).
fof(f69,plain,
sK0 = sF14,
inference(definition_folding,[],[f37,f68]) ).
fof(f71,definition,
( spl15_1
<=> sF11 = sF13 ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f73,plain,
( sF11 != sF13
| spl15_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f75,definition,
( spl15_2
<=> sF7 = sF12 ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f76,plain,
( sF7 = sF12
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f66,f75,f71]) ).
fof(f79,plain,
zero = complement(top),
inference(backward_demodulation,[],[f39,f32]) ).
fof(f80,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f23,f21]) ).
fof(f82,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(f83,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f31,f21]) ).
fof(f84,plain,
sF12 = join(sF7,sF11),
inference(forward_demodulation,[],[f63,f21]) ).
fof(f85,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f68,f69]) ).
fof(f86,plain,
sF12 = sF13,
inference(backward_demodulation,[],[f65,f84]) ).
fof(f87,plain,
( sF11 != sF12
| spl15_1 ),
inference(forward_demodulation,[],[f73,f86]) ).
fof(f88,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f89,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f95,plain,
top = join(sK0,sF3),
inference(superposition,[],[f32,f45]) ).
fof(f101,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f30,f28]) ).
fof(f102,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,[],[f80,f80]) ).
fof(f121,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f80,f21]) ).
fof(f150,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(f151,plain,
! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
inference(superposition,[],[f27,f85]) ).
fof(f152,plain,
! [X0] : composition(join(sK1,X0),sK2) = join(sF4,composition(X0,sK2)),
inference(superposition,[],[f27,f47]) ).
fof(f157,plain,
! [X0] : composition(join(X0,sF10),sK2) = join(composition(X0,sK2),sF11),
inference(superposition,[],[f27,f61]) ).
fof(f162,plain,
! [X0] : join(sF11,composition(X0,sK2)) = composition(join(X0,sF10),sK2),
inference(forward_demodulation,[],[f157,f21]) ).
fof(f171,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f173,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f22,f80]) ).
fof(f177,plain,
! [X0] : join(sF3,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f22,f51]) ).
fof(f178,plain,
! [X0] : join(sF7,join(sF11,X0)) = join(sF12,X0),
inference(superposition,[],[f22,f84]) ).
fof(f183,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f207,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f173,f32]) ).
fof(f210,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f173,f80]) ).
fof(f220,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f210,f21]) ).
fof(f221,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f207,f183]) ).
fof(f233,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f221,f79]) ).
fof(f264,plain,
complement(top) = join(complement(top),composition(converse(sK0),complement(sK0))),
inference(superposition,[],[f83,f85]) ).
fof(f273,plain,
complement(top) = join(complement(top),composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f264,f45]) ).
fof(f275,plain,
zero = join(zero,composition(converse(sK0),sF3)),
inference(forward_demodulation,[],[f273,f79]) ).
fof(f282,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f150,f30]) ).
fof(f288,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f282,f29]) ).
fof(f291,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f288,f29]) ).
fof(f293,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f291,f30]) ).
fof(f308,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f293]) ).
fof(f319,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f308,f28]) ).
fof(f338,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f319,f26]) ).
fof(f352,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f22,f319]) ).
fof(f379,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f101,f26]) ).
fof(f395,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f379,f28]) ).
fof(f407,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f83,f395]) ).
fof(f415,plain,
one = converse(one),
inference(superposition,[],[f26,f395]) ).
fof(f418,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f395,f415]) ).
fof(f428,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f407,f418]) ).
fof(f435,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f233,f428]) ).
fof(f460,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)),
inference(superposition,[],[f173,f428]) ).
fof(f464,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,[],[f173,f428]) ).
fof(f466,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f464,f80]) ).
fof(f470,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),X0)))),
inference(forward_demodulation,[],[f460,f183]) ).
fof(f471,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f220,f466]) ).
fof(f475,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))),
inference(forward_demodulation,[],[f470,f21]) ).
fof(f479,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(top))),
inference(forward_demodulation,[],[f475,f32]) ).
fof(f481,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f479,f183]) ).
fof(f483,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f481,f79]) ).
fof(f491,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f471,f173]) ).
fof(f495,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f471,f21]) ).
fof(f496,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f471,f32]) ).
fof(f497,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f471,f471]) ).
fof(f512,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f496,f79]) ).
fof(f513,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f491,f22]) ).
fof(f524,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(complement(complement(X0)),X1)),
inference(superposition,[],[f22,f497]) ).
fof(f526,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f173,f497]) ).
fof(f534,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f526,f183]) ).
fof(f536,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f534,f513]) ).
fof(f538,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f524,f536]) ).
fof(f541,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f483,f536]) ).
fof(f551,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f435,f541]) ).
fof(f554,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f497,f551]) ).
fof(f559,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,[],[f102,f551]) ).
fof(f561,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,[],[f559,f22]) ).
fof(f586,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f22,f551]) ).
fof(f598,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[],[f586,f551]) ).
fof(f613,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f551,f554]) ).
fof(f632,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(forward_demodulation,[],[f613,f551]) ).
fof(f635,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f632,f554]) ).
fof(f638,plain,
top = complement(zero),
inference(superposition,[],[f635,f79]) ).
fof(f639,plain,
sK0 = complement(sF3),
inference(superposition,[],[f635,f45]) ).
fof(f640,plain,
sK1 = complement(sF8),
inference(superposition,[],[f635,f55]) ).
fof(f641,plain,
sF4 = complement(sF5),
inference(superposition,[],[f635,f49]) ).
fof(f642,plain,
sF6 = complement(sF7),
inference(superposition,[],[f635,f53]) ).
fof(f643,plain,
sF9 = complement(sF10),
inference(superposition,[],[f635,f59]) ).
fof(f645,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f80,f635]) ).
fof(f650,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f471,f635]) ).
fof(f683,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f650,f21]) ).
fof(f694,plain,
complement(sF3) = join(complement(sF3),complement(sF9)),
inference(superposition,[],[f650,f57]) ).
fof(f695,plain,
complement(sF3) = join(complement(sF3),complement(sF6)),
inference(superposition,[],[f650,f51]) ).
fof(f696,plain,
complement(sF7) = join(complement(sF7),complement(sF12)),
inference(superposition,[],[f650,f84]) ).
fof(f698,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(complement(join(X0,X1)),X2)),
inference(superposition,[],[f22,f650]) ).
fof(f700,plain,
sF6 = join(sF6,complement(sF12)),
inference(forward_demodulation,[],[f696,f642]) ).
fof(f701,plain,
complement(sF3) = join(complement(sF3),sF7),
inference(forward_demodulation,[],[f695,f53]) ).
fof(f702,plain,
complement(sF3) = join(complement(sF3),sF10),
inference(forward_demodulation,[],[f694,f59]) ).
fof(f705,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f561,f683]) ).
fof(f706,plain,
complement(sF3) = join(sF7,complement(sF3)),
inference(forward_demodulation,[],[f701,f21]) ).
fof(f707,plain,
complement(sF3) = join(sF10,complement(sF3)),
inference(forward_demodulation,[],[f702,f21]) ).
fof(f708,plain,
sK0 = join(sF7,sK0),
inference(forward_demodulation,[],[f706,f639]) ).
fof(f709,plain,
sK0 = join(sF10,sK0),
inference(forward_demodulation,[],[f707,f639]) ).
fof(f710,plain,
sK0 = join(sK0,sF7),
inference(forward_demodulation,[],[f708,f21]) ).
fof(f711,plain,
sK0 = join(sK0,sF10),
inference(forward_demodulation,[],[f709,f21]) ).
fof(f721,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(top)),
inference(superposition,[],[f683,f32]) ).
fof(f726,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f683,f650]) ).
fof(f732,plain,
complement(sF8) = join(complement(sF8),complement(sF9)),
inference(superposition,[],[f683,f57]) ).
fof(f733,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f683,f51]) ).
fof(f739,plain,
complement(sF5) = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f733,f53]) ).
fof(f740,plain,
complement(sF8) = join(complement(sF8),sF10),
inference(forward_demodulation,[],[f732,f59]) ).
fof(f742,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f726,f21]) ).
fof(f745,plain,
! [X0] : complement(complement(X0)) = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[],[f721,f21]) ).
fof(f746,plain,
complement(sF5) = join(sF7,complement(sF5)),
inference(forward_demodulation,[],[f739,f21]) ).
fof(f747,plain,
complement(sF8) = join(sF10,complement(sF8)),
inference(forward_demodulation,[],[f740,f21]) ).
fof(f749,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f742,f635]) ).
fof(f752,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f745,f635]) ).
fof(f753,plain,
sF4 = join(sF7,sF4),
inference(forward_demodulation,[],[f746,f641]) ).
fof(f754,plain,
sK1 = join(sF10,sK1),
inference(forward_demodulation,[],[f747,f640]) ).
fof(f756,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f749,f183]) ).
fof(f757,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f752,f79]) ).
fof(f758,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f753,f21]) ).
fof(f759,plain,
sK1 = join(sK1,sF10),
inference(forward_demodulation,[],[f754,f21]) ).
fof(f761,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f756,f635]) ).
fof(f767,plain,
zero = composition(converse(sK0),sF3),
inference(backward_demodulation,[],[f275,f757]) ).
fof(f822,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f705,f635]) ).
fof(f840,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(complement(complement(X0)),X1)),
inference(superposition,[],[f705,f471]) ).
fof(f855,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f840,f171]) ).
fof(f874,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f855,f32]) ).
fof(f912,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f21,f874]) ).
fof(f924,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f822,f635]) ).
fof(f935,plain,
! [X0,X1] : join(X1,X0) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f822,f21]) ).
fof(f994,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f935,f635]) ).
fof(f1517,plain,
! [X2,X0,X1] : complement(join(X2,X0)) = join(complement(join(X2,X0)),complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f683,f183]) ).
fof(f1526,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f598,f183]) ).
fof(f1621,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f121,f635]) ).
fof(f1791,plain,
sF12 = join(sF7,sF12),
inference(superposition,[],[f538,f84]) ).
fof(f1850,plain,
! [X0,X1] : complement(join(complement(X1),complement(composition(one,complement(join(complement(X0),complement(composition(converse(one),X1)))))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(composition(one,complement(join(complement(X0),complement(composition(converse(one),X1))))))))),
inference(superposition,[],[f82,f418]) ).
fof(f1880,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,[],[f82,f28]) ).
fof(f1928,plain,
! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(converse(one),X1))))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(converse(one),X1)))))))),
inference(forward_demodulation,[],[f1850,f418]) ).
fof(f1943,plain,
! [X0,X1] : complement(join(complement(X1),join(complement(X0),complement(composition(converse(one),X1))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),join(complement(X0),complement(composition(converse(one),X1)))))),
inference(forward_demodulation,[],[f1928,f635]) ).
fof(f1954,plain,
! [X0,X1] : complement(join(complement(X1),join(complement(X0),complement(composition(one,X1))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),join(complement(X0),complement(composition(one,X1)))))),
inference(forward_demodulation,[],[f1943,f415]) ).
fof(f1962,plain,
! [X0,X1] : complement(join(complement(X1),join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f1954,f418]) ).
fof(f1968,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = complement(join(complement(X1),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f1962,f683]) ).
fof(f1974,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = complement(join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f1968,f761]) ).
fof(f1986,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(complement(join(X1,X0)),join(X0,complement(X1))),
inference(superposition,[],[f761,f994]) ).
fof(f2050,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(complement(X1),join(complement(join(X1,X0)),X0)),
inference(forward_demodulation,[],[f1986,f183]) ).
fof(f2075,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f2050,f698]) ).
fof(f2085,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2075,f21]) ).
fof(f2185,plain,
join(sK0,complement(sK0)) = join(sK0,complement(sF10)),
inference(superposition,[],[f924,f711]) ).
fof(f2186,plain,
join(sK0,complement(sK0)) = join(sK0,complement(sF7)),
inference(superposition,[],[f924,f710]) ).
fof(f2188,plain,
join(sF3,complement(sF8)) = join(sF3,complement(sF9)),
inference(superposition,[],[f924,f57]) ).
fof(f2191,plain,
join(sF7,complement(sF11)) = join(sF7,complement(sF12)),
inference(superposition,[],[f924,f84]) ).
fof(f2237,plain,
join(sF3,complement(sF8)) = join(sF3,sF10),
inference(forward_demodulation,[],[f2188,f59]) ).
fof(f2239,plain,
join(sK0,complement(sK0)) = join(sK0,sF6),
inference(forward_demodulation,[],[f2186,f642]) ).
fof(f2240,plain,
join(sK0,complement(sK0)) = join(sK0,sF9),
inference(forward_demodulation,[],[f2185,f643]) ).
fof(f2263,plain,
join(sF3,sF10) = join(sF3,sK1),
inference(forward_demodulation,[],[f2237,f640]) ).
fof(f2265,plain,
top = join(sK0,sF6),
inference(forward_demodulation,[],[f2239,f32]) ).
fof(f2266,plain,
top = join(sK0,sF9),
inference(forward_demodulation,[],[f2240,f32]) ).
fof(f2283,plain,
join(sF3,sF10) = join(sK1,sF3),
inference(forward_demodulation,[],[f2263,f21]) ).
fof(f2355,plain,
complement(sF7) = join(complement(sF12),complement(join(sF7,complement(sF11)))),
inference(superposition,[],[f645,f84]) ).
fof(f2419,plain,
sF6 = join(complement(sF12),complement(join(sF7,complement(sF11)))),
inference(forward_demodulation,[],[f2355,f642]) ).
fof(f2550,plain,
composition(converse(sF3),sK0) = converse(zero),
inference(superposition,[],[f101,f767]) ).
fof(f2589,plain,
complement(sK0) = join(complement(sK0),composition(converse(converse(sF3)),complement(converse(zero)))),
inference(superposition,[],[f83,f2550]) ).
fof(f2596,plain,
complement(sK0) = join(complement(sK0),composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2589,f28]) ).
fof(f2604,plain,
sF3 = join(sF3,composition(sF3,complement(converse(zero)))),
inference(forward_demodulation,[],[f2596,f45]) ).
fof(f2613,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1621,f21]) ).
fof(f2671,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(join(X1,complement(X0)),X0)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1621,f761]) ).
fof(f2717,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(join(X1,complement(X0)),X0))),
inference(forward_demodulation,[],[f2671,f21]) ).
fof(f2768,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(X1,join(complement(X0),X0)))),
inference(forward_demodulation,[],[f2717,f22]) ).
fof(f2804,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(X1,join(X0,complement(X0))))),
inference(forward_demodulation,[],[f2768,f1526]) ).
fof(f2833,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f2804,f1517]) ).
fof(f2944,plain,
complement(sF11) = join(complement(sF12),complement(join(complement(sF7),sF11))),
inference(superposition,[],[f2613,f84]) ).
fof(f3034,plain,
complement(sF11) = join(complement(sF12),complement(join(sF11,complement(sF7)))),
inference(forward_demodulation,[],[f2944,f2833]) ).
fof(f3083,plain,
complement(sF11) = join(complement(sF12),complement(join(sF11,sF6))),
inference(forward_demodulation,[],[f3034,f642]) ).
fof(f3128,plain,
complement(sF11) = join(complement(sF12),complement(join(sF6,sF11))),
inference(forward_demodulation,[],[f3083,f21]) ).
fof(f3878,plain,
! [X0,X1] : converse(composition(converse(X0),join(one,X1))) = join(X0,converse(composition(converse(X0),X1))),
inference(superposition,[],[f88,f338]) ).
fof(f3894,plain,
! [X0,X1] : converse(composition(converse(X0),join(one,X1))) = join(X0,composition(converse(X1),X0)),
inference(forward_demodulation,[],[f3878,f101]) ).
fof(f3910,plain,
! [X0,X1] : composition(converse(join(one,X1)),X0) = join(X0,composition(converse(X1),X0)),
inference(forward_demodulation,[],[f3894,f101]) ).
fof(f4331,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),complement(join(complement(composition(converse(X0),X1)),complement(X2)))) = join(complement(join(complement(composition(X0,X2)),complement(X1))),composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),complement(join(complement(composition(converse(X0),X1)),complement(X2))))),
inference(superposition,[],[f40,f21]) ).
fof(f4939,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f89,f757]) ).
fof(f4959,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f4939,f28]) ).
fof(f5152,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f338,f912]) ).
fof(f5192,plain,
join(sK0,composition(complement(sK0),top)) = composition(top,top),
inference(superposition,[],[f151,f32]) ).
fof(f5225,plain,
composition(top,top) = join(sK0,composition(sF3,top)),
inference(forward_demodulation,[],[f5192,f45]) ).
fof(f5957,plain,
composition(sK1,sK2) = join(sF4,composition(sF10,sK2)),
inference(superposition,[],[f152,f759]) ).
fof(f6010,plain,
composition(sK1,sK2) = join(sF4,sF11),
inference(forward_demodulation,[],[f5957,f61]) ).
fof(f6018,plain,
sF4 = join(sF4,sF11),
inference(forward_demodulation,[],[f6010,f47]) ).
fof(f6035,plain,
complement(sF11) = join(complement(sF4),complement(join(complement(sF4),sF11))),
inference(superposition,[],[f2613,f6018]) ).
fof(f6038,plain,
complement(sF11) = join(complement(sF4),complement(sF11)),
inference(forward_demodulation,[],[f6035,f924]) ).
fof(f6045,plain,
complement(sF11) = join(sF5,complement(sF11)),
inference(forward_demodulation,[],[f6038,f49]) ).
fof(f6265,plain,
join(sF6,complement(sF11)) = join(sF3,complement(sF11)),
inference(superposition,[],[f177,f6045]) ).
fof(f6268,plain,
! [X0] : join(sF6,X0) = join(sF3,join(X0,sF5)),
inference(superposition,[],[f177,f21]) ).
fof(f6766,plain,
! [X0] : join(sF12,X0) = join(sF7,join(X0,sF11)),
inference(superposition,[],[f178,f21]) ).
fof(f6888,plain,
join(sF7,sF4) = join(sF12,sF4),
inference(superposition,[],[f6766,f6018]) ).
fof(f6943,plain,
join(sF7,sF4) = join(sF4,sF12),
inference(forward_demodulation,[],[f6888,f21]) ).
fof(f6962,plain,
join(sF4,sF7) = join(sF4,sF12),
inference(forward_demodulation,[],[f6943,f21]) ).
fof(f6974,plain,
sF4 = join(sF4,sF12),
inference(forward_demodulation,[],[f6962,f758]) ).
fof(f7487,plain,
zero = converse(zero),
inference(superposition,[],[f512,f4959]) ).
fof(f7496,plain,
sF3 = join(sF3,composition(sF3,complement(zero))),
inference(backward_demodulation,[],[f2604,f7487]) ).
fof(f7578,plain,
sF3 = join(sF3,composition(sF3,top)),
inference(forward_demodulation,[],[f7496,f638]) ).
fof(f7616,plain,
sF3 = composition(sF3,top),
inference(forward_demodulation,[],[f7578,f5152]) ).
fof(f7634,plain,
join(sK0,sF3) = composition(top,top),
inference(backward_demodulation,[],[f5225,f7616]) ).
fof(f7638,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f7634,f95]) ).
fof(f7768,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f83,f7638]) ).
fof(f7779,plain,
complement(top) = composition(converse(join(one,top)),complement(top)),
inference(forward_demodulation,[],[f7768,f3910]) ).
fof(f7790,plain,
zero = composition(converse(join(one,top)),zero),
inference(forward_demodulation,[],[f7779,f79]) ).
fof(f7799,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f7790,f3910]) ).
fof(f7805,plain,
zero = composition(converse(top),zero),
inference(forward_demodulation,[],[f7799,f757]) ).
fof(f7829,plain,
! [X0,X1] : join(composition(sF3,join(top,X0)),X1) = join(sF3,join(composition(sF3,X0),X1)),
inference(superposition,[],[f352,f7616]) ).
fof(f7834,plain,
! [X0,X1] : join(sF3,join(composition(sF3,X0),X1)) = join(composition(sF3,top),X1),
inference(forward_demodulation,[],[f7829,f874]) ).
fof(f7844,plain,
! [X0,X1] : join(sF3,X1) = join(sF3,join(composition(sF3,X0),X1)),
inference(forward_demodulation,[],[f7834,f7616]) ).
fof(f7869,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f101,f7487]) ).
fof(f7871,plain,
zero = converse(composition(zero,top)),
inference(backward_demodulation,[],[f7805,f7869]) ).
fof(f8324,plain,
converse(zero) = composition(zero,top),
inference(superposition,[],[f28,f7871]) ).
fof(f8348,plain,
zero = composition(zero,top),
inference(forward_demodulation,[],[f8324,f7487]) ).
fof(f8376,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,join(top,X0)),
inference(superposition,[],[f319,f8348]) ).
fof(f8385,plain,
! [X0] : join(zero,composition(zero,X0)) = composition(zero,top),
inference(forward_demodulation,[],[f8376,f874]) ).
fof(f8400,plain,
! [X0] : zero = join(zero,composition(zero,X0)),
inference(forward_demodulation,[],[f8385,f8348]) ).
fof(f8411,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f8400,f757]) ).
fof(f8426,plain,
! [X0] : converse(zero) = composition(converse(X0),zero),
inference(backward_demodulation,[],[f7869,f8411]) ).
fof(f8442,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f8426,f7487]) ).
fof(f8576,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f8442,f28]) ).
fof(f9045,plain,
complement(sF12) = join(complement(sF4),complement(join(complement(sF4),sF12))),
inference(superposition,[],[f2613,f6974]) ).
fof(f9048,plain,
complement(sF12) = join(complement(sF4),complement(sF12)),
inference(forward_demodulation,[],[f9045,f924]) ).
fof(f9056,plain,
complement(sF12) = join(sF5,complement(sF12)),
inference(forward_demodulation,[],[f9048,f49]) ).
fof(f9061,plain,
join(sF6,complement(sF12)) = join(sF3,complement(sF12)),
inference(superposition,[],[f177,f9056]) ).
fof(f9094,plain,
sF6 = join(sF3,complement(sF12)),
inference(forward_demodulation,[],[f9061,f700]) ).
fof(f16078,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,[],[f1880,f7616]) ).
fof(f16140,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,[],[f16078,f639]) ).
fof(f16207,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,[],[f16140,f2833]) ).
fof(f16250,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,[],[f16207,f79]) ).
fof(f16286,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,[],[f16250,f757]) ).
fof(f16311,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,[],[f16286,f635]) ).
fof(f16334,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,[],[f16311,f2833]) ).
fof(f16351,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,[],[f16334,f757]) ).
fof(f16365,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,[],[f16351,f635]) ).
fof(f16377,plain,
! [X0] : composition(converse(sF3),complement(join(sK0,complement(X0)))) = composition(converse(sF3),join(X0,complement(join(sK0,complement(X0))))),
inference(forward_demodulation,[],[f16365,f319]) ).
fof(f16385,plain,
! [X0] : composition(converse(sF3),X0) = composition(converse(sF3),complement(join(sK0,complement(X0)))),
inference(forward_demodulation,[],[f16377,f495]) ).
fof(f18395,plain,
join(complement(sF11),complement(join(sF3,complement(sF11)))) = join(complement(sF6),complement(sF11)),
inference(superposition,[],[f2085,f6265]) ).
fof(f18403,plain,
join(sF7,complement(sF11)) = join(complement(sF11),complement(join(sF3,complement(sF11)))),
inference(forward_demodulation,[],[f18395,f53]) ).
fof(f18421,plain,
join(sF7,complement(sF11)) = join(complement(sF11),complement(sF3)),
inference(forward_demodulation,[],[f18403,f994]) ).
fof(f18429,plain,
join(sF7,complement(sF11)) = join(complement(sF3),complement(sF11)),
inference(forward_demodulation,[],[f18421,f21]) ).
fof(f18435,plain,
join(sF7,complement(sF11)) = join(sK0,complement(sF11)),
inference(forward_demodulation,[],[f18429,f639]) ).
fof(f18439,plain,
sF6 = join(complement(sF12),complement(join(sK0,complement(sF11)))),
inference(backward_demodulation,[],[f2419,f18435]) ).
fof(f18440,plain,
join(sF7,complement(sF12)) = join(sK0,complement(sF11)),
inference(backward_demodulation,[],[f2191,f18435]) ).
fof(f18459,plain,
join(sF7,complement(complement(sF12))) = join(sF7,complement(join(sK0,complement(sF11)))),
inference(superposition,[],[f924,f18440]) ).
fof(f18479,plain,
join(sF7,sF12) = join(sF7,complement(join(sK0,complement(sF11)))),
inference(forward_demodulation,[],[f18459,f635]) ).
fof(f18498,plain,
sF12 = join(sF7,complement(join(sK0,complement(sF11)))),
inference(forward_demodulation,[],[f18479,f1791]) ).
fof(f20408,plain,
join(complement(sF12),complement(sF6)) = join(complement(sF3),complement(sF12)),
inference(superposition,[],[f2085,f9094]) ).
fof(f20418,plain,
join(complement(sF12),complement(sF6)) = join(sK0,complement(sF12)),
inference(forward_demodulation,[],[f20408,f639]) ).
fof(f20440,plain,
join(complement(sF6),complement(sF12)) = join(sK0,complement(sF12)),
inference(forward_demodulation,[],[f20418,f21]) ).
fof(f20456,plain,
join(sF7,complement(sF12)) = join(sK0,complement(sF12)),
inference(forward_demodulation,[],[f20440,f53]) ).
fof(f20469,plain,
join(sK0,complement(sF11)) = join(sK0,complement(sF12)),
inference(forward_demodulation,[],[f20456,f18440]) ).
fof(f24517,plain,
composition(converse(sF3),sF7) = composition(converse(sF3),complement(join(sK0,sF6))),
inference(superposition,[],[f16385,f642]) ).
fof(f24520,plain,
composition(converse(sF3),sF10) = composition(converse(sF3),complement(join(sK0,sF9))),
inference(superposition,[],[f16385,f643]) ).
fof(f24521,plain,
composition(converse(sF3),sF12) = composition(converse(sF3),complement(join(sK0,complement(sF11)))),
inference(superposition,[],[f16385,f20469]) ).
fof(f24598,plain,
composition(converse(sF3),sF12) = composition(converse(sF3),sF11),
inference(forward_demodulation,[],[f24521,f16385]) ).
fof(f24599,plain,
composition(converse(sF3),complement(top)) = composition(converse(sF3),sF10),
inference(forward_demodulation,[],[f24520,f2266]) ).
fof(f24601,plain,
composition(converse(sF3),complement(top)) = composition(converse(sF3),sF7),
inference(forward_demodulation,[],[f24517,f2265]) ).
fof(f24646,plain,
composition(converse(sF3),zero) = composition(converse(sF3),sF10),
inference(forward_demodulation,[],[f24599,f79]) ).
fof(f24648,plain,
composition(converse(sF3),zero) = composition(converse(sF3),sF7),
inference(forward_demodulation,[],[f24601,f79]) ).
fof(f24673,plain,
zero = composition(converse(sF3),sF10),
inference(forward_demodulation,[],[f24646,f8576]) ).
fof(f24675,plain,
zero = composition(converse(sF3),sF7),
inference(forward_demodulation,[],[f24648,f8576]) ).
fof(f25368,plain,
converse(zero) = composition(converse(sF10),sF3),
inference(superposition,[],[f101,f24673]) ).
fof(f25421,plain,
zero = composition(converse(sF10),sF3),
inference(forward_demodulation,[],[f25368,f7487]) ).
fof(f25525,plain,
! [X0] : composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(join(complement(zero),complement(X0)))) = join(complement(join(complement(composition(sF10,X0)),complement(sF3))),composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(join(complement(zero),complement(X0))))),
inference(superposition,[],[f4331,f25421]) ).
fof(f25586,plain,
! [X0] : composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(join(top,complement(X0)))) = join(complement(join(complement(composition(sF10,X0)),complement(sF3))),composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(join(top,complement(X0))))),
inference(forward_demodulation,[],[f25525,f638]) ).
fof(f25609,plain,
! [X0] : composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(top)) = join(complement(join(complement(composition(sF10,X0)),complement(sF3))),composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),complement(top))),
inference(forward_demodulation,[],[f25586,f874]) ).
fof(f25627,plain,
! [X0] : composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),zero) = join(complement(join(complement(composition(sF10,X0)),complement(sF3))),composition(complement(join(complement(sF10),complement(composition(sF3,converse(X0))))),zero)),
inference(forward_demodulation,[],[f25609,f79]) ).
fof(f25641,plain,
! [X0] : zero = join(complement(join(complement(composition(sF10,X0)),complement(sF3))),zero),
inference(forward_demodulation,[],[f25627,f8576]) ).
fof(f25652,plain,
! [X0] : zero = join(zero,complement(join(complement(composition(sF10,X0)),complement(sF3)))),
inference(forward_demodulation,[],[f25641,f21]) ).
fof(f25662,plain,
! [X0] : zero = complement(join(complement(composition(sF10,X0)),complement(sF3))),
inference(forward_demodulation,[],[f25652,f757]) ).
fof(f25671,plain,
! [X0] : zero = complement(join(complement(sF3),complement(composition(sF10,X0)))),
inference(forward_demodulation,[],[f25662,f1974]) ).
fof(f25677,plain,
! [X0] : zero = complement(join(sK0,complement(composition(sF10,X0)))),
inference(forward_demodulation,[],[f25671,f639]) ).
fof(f31238,plain,
zero = complement(join(sK0,complement(sF11))),
inference(superposition,[],[f25677,f61]) ).
fof(f31353,plain,
sF12 = join(sF7,zero),
inference(backward_demodulation,[],[f18498,f31238]) ).
fof(f31354,plain,
sF6 = join(complement(sF12),zero),
inference(backward_demodulation,[],[f18439,f31238]) ).
fof(f31405,plain,
sF6 = join(zero,complement(sF12)),
inference(forward_demodulation,[],[f31354,f21]) ).
fof(f31406,plain,
sF12 = join(zero,sF7),
inference(forward_demodulation,[],[f31353,f21]) ).
fof(f31446,plain,
sF6 = complement(sF12),
inference(forward_demodulation,[],[f31405,f757]) ).
fof(f31447,plain,
sF7 = sF12,
inference(forward_demodulation,[],[f31406,f757]) ).
fof(f31485,plain,
complement(sF11) = join(sF6,complement(join(sF6,sF11))),
inference(backward_demodulation,[],[f3128,f31446]) ).
fof(f31598,plain,
spl15_2,
inference(avatar_split_clause,[],[f31447,f75]) ).
fof(f31653,plain,
complement(sF11) = join(sF6,complement(sF11)),
inference(forward_demodulation,[],[f31485,f924]) ).
fof(f31699,plain,
complement(sF11) = join(sF3,complement(sF11)),
inference(backward_demodulation,[],[f6265,f31653]) ).
fof(f31768,plain,
( sF7 != sF11
| spl15_1
| ~ spl15_2 ),
inference(backward_demodulation,[],[f87,f76]) ).
fof(f31883,plain,
( composition(converse(sF3),sF7) = composition(converse(sF3),sF11)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f24598,f76]) ).
fof(f31976,plain,
( zero = composition(converse(sF3),sF11)
| ~ spl15_2 ),
inference(forward_demodulation,[],[f31883,f24675]) ).
fof(f32127,plain,
( ! [X0] : composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(join(complement(zero),complement(X0)))) = join(complement(join(complement(composition(sF3,X0)),complement(sF11))),composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(join(complement(zero),complement(X0)))))
| ~ spl15_2 ),
inference(superposition,[],[f4331,f31976]) ).
fof(f32190,plain,
( ! [X0] : composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(join(top,complement(X0)))) = join(complement(join(complement(composition(sF3,X0)),complement(sF11))),composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(join(top,complement(X0)))))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32127,f638]) ).
fof(f32213,plain,
( ! [X0] : composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(top)) = join(complement(join(complement(composition(sF3,X0)),complement(sF11))),composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),complement(top)))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32190,f874]) ).
fof(f32232,plain,
( ! [X0] : composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),zero) = join(complement(join(complement(composition(sF3,X0)),complement(sF11))),composition(complement(join(complement(sF3),complement(composition(sF11,converse(X0))))),zero))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32213,f79]) ).
fof(f32244,plain,
( ! [X0] : zero = join(complement(join(complement(composition(sF3,X0)),complement(sF11))),zero)
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32232,f8576]) ).
fof(f32255,plain,
( ! [X0] : zero = join(zero,complement(join(complement(composition(sF3,X0)),complement(sF11))))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32244,f21]) ).
fof(f32264,plain,
( ! [X0] : zero = complement(join(complement(composition(sF3,X0)),complement(sF11)))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32255,f757]) ).
fof(f32269,plain,
( ! [X0] : zero = complement(join(complement(sF11),complement(composition(sF3,X0))))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f32264,f1974]) ).
fof(f34429,plain,
( ! [X0] : join(complement(sF11),complement(complement(composition(sF3,X0)))) = join(complement(sF11),zero)
| ~ spl15_2 ),
inference(superposition,[],[f924,f32269]) ).
fof(f34521,plain,
( ! [X0] : join(zero,complement(sF11)) = join(complement(sF11),complement(complement(composition(sF3,X0))))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f34429,f21]) ).
fof(f34583,plain,
( ! [X0] : join(zero,complement(sF11)) = join(complement(sF11),composition(sF3,X0))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f34521,f635]) ).
fof(f34638,plain,
( ! [X0] : complement(sF11) = join(complement(sF11),composition(sF3,X0))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f34583,f757]) ).
fof(f46759,plain,
! [X0] : join(sF3,sF5) = join(sF6,composition(sF3,X0)),
inference(superposition,[],[f6268,f7844]) ).
fof(f46834,plain,
! [X0] : sF6 = join(sF6,composition(sF3,X0)),
inference(forward_demodulation,[],[f46759,f51]) ).
fof(f47393,plain,
join(sF11,composition(sF3,sK2)) = composition(join(sK1,sF3),sK2),
inference(superposition,[],[f162,f2283]) ).
fof(f47463,plain,
join(sF11,composition(sF3,sK2)) = join(sF4,composition(sF3,sK2)),
inference(forward_demodulation,[],[f47393,f152]) ).
fof(f47569,plain,
join(composition(sF3,sK2),complement(join(sF4,composition(sF3,sK2)))) = join(complement(sF11),composition(sF3,sK2)),
inference(superposition,[],[f2085,f47463]) ).
fof(f47583,plain,
( complement(sF11) = join(composition(sF3,sK2),complement(join(sF4,composition(sF3,sK2))))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47569,f34638]) ).
fof(f47603,plain,
( complement(sF11) = join(composition(sF3,sK2),complement(sF4))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47583,f994]) ).
fof(f47614,plain,
( complement(sF11) = join(complement(sF4),composition(sF3,sK2))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47603,f21]) ).
fof(f47623,plain,
( complement(sF11) = join(sF5,composition(sF3,sK2))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47614,f49]) ).
fof(f47636,plain,
( join(sF3,complement(sF11)) = join(sF6,composition(sF3,sK2))
| ~ spl15_2 ),
inference(superposition,[],[f177,f47623]) ).
fof(f47684,plain,
( sF6 = join(sF3,complement(sF11))
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47636,f46834]) ).
fof(f47698,plain,
( sF6 = complement(sF11)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f31699,f47684]) ).
fof(f47947,plain,
( complement(sF6) = sF11
| ~ spl15_2 ),
inference(superposition,[],[f635,f47698]) ).
fof(f48075,plain,
( sF7 = sF11
| ~ spl15_2 ),
inference(forward_demodulation,[],[f47947,f53]) ).
fof(f48107,plain,
( $false
| spl15_1
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f48075,f31768]) ).
fof(f48108,plain,
( spl15_1
| ~ spl15_2 ),
inference(avatar_contradiction_clause,[],[f48107]) ).
cnf(s1,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f78]) ).
cnf(s2,plain,
spl15_2,
inference(sat_conversion,[],[f31598]) ).
cnf(s4,plain,
( spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f48108]) ).
cnf(s5,plain,
spl15_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f48134,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL033+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:50:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.20/3.70 % (3043528)Detected formulas, will run a generic FOF schedule.
% 19.20/3.70 % (3043550)dis-21_1_sil=8000:lcm=predicate:random_seed=3774754420: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)
% 19.20/3.70 % (3043550)Refutation not found, incomplete strategy
% 19.20/3.70 % (3043550)------------------------------
% 19.20/3.70 % (3043550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.20/3.70 % (3043550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.70 % (3043550)CaDiCaL version: 2.1.3
% 19.20/3.70 % (3043550)Termination reason: Refutation not found, incomplete strategy
% 19.20/3.70 % (3043550)Time elapsed: 0.002 s
% 19.20/3.70 % (3043550)Peak memory usage: 88 MB
% 19.20/3.70 % (3043550)Instructions burned: 2 (million)
% 19.20/3.70 % (3043548)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3513963886:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.20/3.70 % (3043545)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=2337354135:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.20/3.70 % (3043544)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=4284328393:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.20/3.70 % (3043547)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2842730220:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.20/3.70 % (3043546)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=881426122:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.20/3.70 % (3043549)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1531661319:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.20/3.70 % (3043547)Instruction limit reached!
% 19.20/3.70 % (3043547)------------------------------
% 19.20/3.70 % (3043547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.20/3.70 % (3043547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.70 % (3043547)CaDiCaL version: 2.1.3
% 19.20/3.70 % (3043547)Termination reason: Instruction limit
% 19.20/3.70 % (3043547)Termination phase: Saturation
% 19.20/3.70 % (3043547)Time elapsed: 0.108 s
% 19.20/3.70 % (3043547)Peak memory usage: 89 MB
% 19.20/3.70 % (3043547)Instructions burned: 109 (million)
% 19.20/3.70 % (3043548)Instruction limit reached!
% 19.20/3.70 % (3043548)------------------------------
% 19.20/3.70 % (3043548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.20/3.70 % (3043548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.70 % (3043548)CaDiCaL version: 2.1.3
% 19.20/3.70 % (3043548)Termination reason: Instruction limit
% 19.20/3.70 % (3043548)Termination phase: Saturation
% 19.20/3.70 % (3043548)Time elapsed: 0.115 s
% 19.20/3.70 % (3043548)Peak memory usage: 88 MB
% 19.20/3.70 % (3043548)Instructions burned: 119 (million)
% 19.20/3.70 % (3043549)Instruction limit reached!
% 19.20/3.70 % (3043549)------------------------------
% 19.20/3.70 % (3043549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.20/3.70 % (3043549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.70 % (3043549)CaDiCaL version: 2.1.3
% 19.20/3.70 % (3043549)Termination reason: Instruction limit
% 19.20/3.70 % (3043549)Termination phase: Saturation
% 19.20/3.70 % (3043549)Time elapsed: 0.141 s
% 19.20/3.70 % (3043549)Peak memory usage: 90 MB
% 19.20/3.70 % (3043549)Instructions burned: 139 (million)
% 19.20/3.70 % (3043550)------------------------------
% 19.20/3.70 % (3043550)------------------------------
% 19.20/3.70 % (3043559)lrs+10_1_sil=8000:sp=occurrence:random_seed=409320894:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 19.20/3.70 % (3043560)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3484195871:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 19.20/3.70 % (3043564)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=1691030214:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.20/3.70 % (3043562)lrs+1011_1_sil=32000:sp=occurrence:random_seed=206311091:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 31.45/5.33 % (3043560)Instruction limit reached!
% 31.45/5.33 % (3043560)------------------------------
% 31.45/5.33 % (3043560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043560)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043560)Termination reason: Instruction limit
% 31.45/5.33 % (3043560)Termination phase: Saturation
% 31.45/5.33 % (3043560)Time elapsed: 0.113 s
% 31.45/5.33 % (3043560)Peak memory usage: 90 MB
% 31.45/5.33 % (3043560)Instructions burned: 157 (million)
% 31.45/5.33 % (3043564)Instruction limit reached!
% 31.45/5.33 % (3043564)------------------------------
% 31.45/5.33 % (3043564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043564)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043564)Termination reason: Instruction limit
% 31.45/5.33 % (3043564)Termination phase: Saturation
% 31.45/5.33 % (3043564)Time elapsed: 0.132 s
% 31.45/5.33 % (3043564)Peak memory usage: 92 MB
% 31.45/5.33 % (3043564)Instructions burned: 249 (million)
% 31.45/5.33 % (3043559)Instruction limit reached!
% 31.45/5.33 % (3043559)------------------------------
% 31.45/5.33 % (3043559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043559)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043559)Termination reason: Instruction limit
% 31.45/5.33 % (3043559)Termination phase: Saturation
% 31.45/5.33 % (3043559)Time elapsed: 0.271 s
% 31.45/5.33 % (3043559)Peak memory usage: 92 MB
% 31.45/5.33 % (3043559)Instructions burned: 285 (million)
% 31.45/5.33 % (3043574)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2278415267:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 31.45/5.33 % (3043576)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3532458939:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 31.45/5.33 % (3043562)Instruction limit reached!
% 31.45/5.33 % (3043562)------------------------------
% 31.45/5.33 % (3043562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043562)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043562)Termination reason: Instruction limit
% 31.45/5.33 % (3043562)Termination phase: Saturation
% 31.45/5.33 % (3043562)Time elapsed: 0.322 s
% 31.45/5.33 % (3043562)Peak memory usage: 92 MB
% 31.45/5.33 % (3043562)Instructions burned: 325 (million)
% 31.45/5.33 % (3043575)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1645834479:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 31.45/5.33 % (3043574)Instruction limit reached!
% 31.45/5.33 % (3043574)------------------------------
% 31.45/5.33 % (3043574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043574)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043574)Termination reason: Instruction limit
% 31.45/5.33 % (3043574)Termination phase: Saturation
% 31.45/5.33 % (3043574)Time elapsed: 0.153 s
% 31.45/5.33 % (3043574)Peak memory usage: 92 MB
% 31.45/5.33 % (3043574)Instructions burned: 295 (million)
% 31.45/5.33 % (3043576)Instruction limit reached!
% 31.45/5.33 % (3043576)------------------------------
% 31.45/5.33 % (3043576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.45/5.33 % (3043576)CaDiCaL version: 2.1.3
% 31.45/5.33 % (3043576)Termination reason: Instruction limit
% 31.45/5.33 % (3043576)Termination phase: Saturation
% 31.45/5.33 % (3043576)Time elapsed: 0.112 s
% 31.45/5.33 % (3043576)Peak memory usage: 90 MB
% 31.45/5.33 % (3043576)Instructions burned: 114 (million)
% 31.45/5.33 % (3043580)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3641269315:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 31.45/5.33 % (3043580)Refutation not found, incomplete strategy
% 31.45/5.33 % (3043580)------------------------------
% 31.45/5.33 % (3043580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.45/5.33 % (3043580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043580)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043580)Termination reason: Refutation not found, incomplete strategy
% 47.60/7.63 % (3043580)Time elapsed: 0.001 s
% 47.60/7.63 % (3043580)Peak memory usage: 88 MB
% 47.60/7.63 % (3043580)Instructions burned: 1 (million)
% 47.60/7.63 % (3043581)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1592900831:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 47.60/7.63 % (3043582)lrs+10_1_sil=8000:sp=occurrence:random_seed=340361162:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 47.60/7.63 % (3043581)Instruction limit reached!
% 47.60/7.63 % (3043581)------------------------------
% 47.60/7.63 % (3043581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/7.63 % (3043581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043581)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043581)Termination reason: Instruction limit
% 47.60/7.63 % (3043581)Termination phase: Saturation
% 47.60/7.63 % (3043581)Time elapsed: 0.105 s
% 47.60/7.63 % (3043581)Peak memory usage: 89 MB
% 47.60/7.63 % (3043581)Instructions burned: 115 (million)
% 47.60/7.63 % (3043580)------------------------------
% 47.60/7.63 % (3043580)------------------------------
% 47.60/7.63 % (3043589)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1228058551:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 47.60/7.63 % (3043588)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=504466622:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 47.60/7.63 % (3043588)Instruction limit reached!
% 47.60/7.63 % (3043588)------------------------------
% 47.60/7.63 % (3043588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/7.63 % (3043588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043588)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043588)Termination reason: Instruction limit
% 47.60/7.63 % (3043588)Termination phase: Saturation
% 47.60/7.63 % (3043588)Time elapsed: 0.389 s
% 47.60/7.63 % (3043588)Peak memory usage: 92 MB
% 47.60/7.63 % (3043588)Instructions burned: 437 (million)
% 47.60/7.63 % (3043592)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1148801375:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 47.60/7.63 % (3043592)Refutation not found, incomplete strategy
% 47.60/7.63 % (3043592)------------------------------
% 47.60/7.63 % (3043592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/7.63 % (3043592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043592)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043592)Termination reason: Refutation not found, incomplete strategy
% 47.60/7.63 % (3043592)Time elapsed: 0.004 s
% 47.60/7.63 % (3043592)Peak memory usage: 89 MB
% 47.60/7.63 % (3043592)Instructions burned: 2 (million)
% 47.60/7.63 % (3043582)Instruction limit reached!
% 47.60/7.63 % (3043582)------------------------------
% 47.60/7.63 % (3043582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/7.63 % (3043582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043582)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043582)Termination reason: Instruction limit
% 47.60/7.63 % (3043582)Termination phase: Saturation
% 47.60/7.63 % (3043582)Time elapsed: 0.889 s
% 47.60/7.63 % (3043582)Peak memory usage: 98 MB
% 47.60/7.63 % (3043582)Instructions burned: 907 (million)
% 47.60/7.63 % (3043594)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3900713094:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 47.60/7.63 % (3043592)------------------------------
% 47.60/7.63 % (3043592)------------------------------
% 47.60/7.63 % (3043599)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2578111916:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 47.60/7.63 % (3043594)Instruction limit reached!
% 47.60/7.63 % (3043594)------------------------------
% 47.60/7.63 % (3043594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/7.63 % (3043594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/7.63 % (3043594)CaDiCaL version: 2.1.3
% 47.60/7.63 % (3043594)Termination reason: Instruction limit
% 47.60/7.63 % (3043594)Termination phase: Saturation
% 47.60/7.63 % (3043594)Time elapsed: 0.478 s
% 47.60/7.63 % (3043594)Peak memory usage: 91 MB
% 47.60/7.63 % (3043594)Instructions burned: 592 (million)
% 68.37/10.59 % (3043602)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=2321784287:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 68.37/10.59 % (3043602)Instruction limit reached!
% 68.37/10.59 % (3043602)------------------------------
% 68.37/10.59 % (3043602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.59 % (3043602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.59 % (3043602)CaDiCaL version: 2.1.3
% 68.37/10.59 % (3043602)Termination reason: Instruction limit
% 68.37/10.59 % (3043602)Termination phase: Saturation
% 68.37/10.59 % (3043602)Time elapsed: 0.132 s
% 68.37/10.59 % (3043602)Peak memory usage: 92 MB
% 68.37/10.59 % (3043602)Instructions burned: 126 (million)
% 68.37/10.59 % (3043575)Instruction limit reached!
% 68.37/10.59 % (3043575)------------------------------
% 68.37/10.59 % (3043575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.59 % (3043575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.59 % (3043575)CaDiCaL version: 2.1.3
% 68.37/10.59 % (3043575)Termination reason: Instruction limit
% 68.37/10.59 % (3043575)Termination phase: Saturation
% 68.37/10.59 % (3043575)Time elapsed: 2.417 s
% 68.37/10.59 % (3043575)Peak memory usage: 140 MB
% 68.37/10.59 % (3043575)Instructions burned: 2351 (million)
% 68.37/10.59 % (3043604)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2439811062:i=134:gtgl=5:slsql=off:gtg=exists_sym_2968 on theBenchmark for (2968ds/134Mi)
% 68.37/10.59 % (3043604)Instruction limit reached!
% 68.37/10.59 % (3043604)------------------------------
% 68.37/10.59 % (3043604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.59 % (3043604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.59 % (3043604)CaDiCaL version: 2.1.3
% 68.37/10.59 % (3043604)Termination reason: Instruction limit
% 68.37/10.59 % (3043604)Termination phase: Saturation
% 68.37/10.59 % (3043604)Time elapsed: 0.136 s
% 68.37/10.59 % (3043604)Peak memory usage: 90 MB
% 68.37/10.59 % (3043604)Instructions burned: 134 (million)
% 68.37/10.59 % (3043606)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2686318618:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 68.37/10.59 % (3043606)Refutation not found, incomplete strategy
% 68.37/10.59 % (3043606)------------------------------
% 68.37/10.59 % (3043606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.59 % (3043606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.59 % (3043606)CaDiCaL version: 2.1.3
% 68.37/10.59 % (3043606)Termination reason: Refutation not found, incomplete strategy
% 68.37/10.59 % (3043606)Time elapsed: 0.002 s
% 68.37/10.59 % (3043606)Peak memory usage: 88 MB
% 68.37/10.59 % (3043606)Instructions burned: 1 (million)
% 68.37/10.59 % (3043607)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3944074427:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 68.37/10.59 % (3043607)Refutation not found, incomplete strategy
% 68.37/10.59 % (3043607)------------------------------
% 68.37/10.59 % (3043607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.59 % (3043607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043607)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043607)Termination reason: Refutation not found, incomplete strategy
% 68.37/10.60 % (3043607)Time elapsed: 0.003 s
% 68.37/10.60 % (3043607)Peak memory usage: 88 MB
% 68.37/10.60 % (3043607)Instructions burned: 1 (million)
% 68.37/10.60 % (3043606)------------------------------
% 68.37/10.60 % (3043606)------------------------------
% 68.37/10.60 % (3043607)------------------------------
% 68.37/10.60 % (3043607)------------------------------
% 68.37/10.60 % (3043611)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=1002005353:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 68.37/10.60 % (3043613)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=397859774:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2959 on theBenchmark for (2959ds/150Mi)
% 68.37/10.60 % (3043589)Instruction limit reached!
% 68.37/10.60 % (3043589)------------------------------
% 68.37/10.60 % (3043589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043589)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043589)Termination reason: Instruction limit
% 68.37/10.60 % (3043589)Termination phase: Saturation
% 68.37/10.60 % (3043589)Time elapsed: 2.948 s
% 68.37/10.60 % (3043589)Peak memory usage: 165 MB
% 68.37/10.60 % (3043589)Instructions burned: 5202 (million)
% 68.37/10.60 % (3043613)Instruction limit reached!
% 68.37/10.60 % (3043613)------------------------------
% 68.37/10.60 % (3043613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043613)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043613)Termination reason: Instruction limit
% 68.37/10.60 % (3043613)Termination phase: Saturation
% 68.37/10.60 % (3043613)Time elapsed: 0.158 s
% 68.37/10.60 % (3043613)Peak memory usage: 90 MB
% 68.37/10.60 % (3043613)Instructions burned: 150 (million)
% 68.37/10.60 % (3043616)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2667970234:i=14155:bd=all_2955 on theBenchmark for (2955ds/14155Mi)
% 68.37/10.60 % (3043617)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=882591954:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 68.37/10.60 % (3043617)Instruction limit reached!
% 68.37/10.60 % (3043617)------------------------------
% 68.37/10.60 % (3043617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043617)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043617)Termination reason: Instruction limit
% 68.37/10.60 % (3043617)Termination phase: Saturation
% 68.37/10.60 % (3043617)Time elapsed: 0.489 s
% 68.37/10.60 % (3043617)Peak memory usage: 89 MB
% 68.37/10.60 % (3043617)Instructions burned: 667 (million)
% 68.37/10.60 % (3043622)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=110516643:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 68.37/10.60 % (3043622)Instruction limit reached!
% 68.37/10.60 % (3043622)------------------------------
% 68.37/10.60 % (3043622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043622)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043622)Termination reason: Instruction limit
% 68.37/10.60 % (3043622)Termination phase: Saturation
% 68.37/10.60 % (3043622)Time elapsed: 0.141 s
% 68.37/10.60 % (3043622)Peak memory usage: 91 MB
% 68.37/10.60 % (3043622)Instructions burned: 186 (million)
% 68.37/10.60 % (3043626)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=526614360:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2944 on theBenchmark for (2944ds/193Mi)
% 68.37/10.60 % (3043626)Instruction limit reached!
% 68.37/10.60 % (3043626)------------------------------
% 68.37/10.60 % (3043626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043626)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043626)Termination reason: Instruction limit
% 68.37/10.60 % (3043626)Termination phase: Saturation
% 68.37/10.60 % (3043626)Time elapsed: 0.183 s
% 68.37/10.60 % (3043626)Peak memory usage: 90 MB
% 68.37/10.60 % (3043626)Instructions burned: 194 (million)
% 68.37/10.60 % (3043628)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1873372618:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2940 on theBenchmark for (2940ds/4850Mi)
% 68.37/10.60 % (3043628)Refutation not found, incomplete strategy
% 68.37/10.60 % (3043628)------------------------------
% 68.37/10.60 % (3043628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.37/10.60 % (3043628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.37/10.60 % (3043628)CaDiCaL version: 2.1.3
% 68.37/10.60 % (3043628)Termination reason: Refutation not found, incomplete strategy
% 68.37/10.60 % (3043628)Time elapsed: 0.002 s
% 68.37/10.60 % (3043628)Peak memory usage: 88 MB
% 68.37/10.60 % (3043628)Instructions burned: 1 (million)
% 68.37/10.60 % (3043628)------------------------------
% 68.37/10.60 % (3043628)------------------------------
% 68.37/10.60 % (3043630)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=362246960:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 68.37/10.60 % (3043616)First to succeed.
% 68.37/10.60 % (3043616)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3043528"
% 68.37/10.60 % (3043616)Refutation found. Thanks to Tanya!
% 68.37/10.60 % SZS status Theorem for theBenchmark
% 68.37/10.60 % SZS output start Proof for theBenchmark
% See solution above
% 69.23/10.87 % (3043616)------------------------------
% 69.23/10.87 % (3043616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.23/10.87 % (3043616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.23/10.87 % (3043616)CaDiCaL version: 2.1.3
% 69.23/10.87 % (3043616)Termination reason: Refutation
% 69.23/10.87 % (3043616)Time elapsed: 4.798 s
% 69.23/10.87 % (3043616)Peak memory usage: 194 MB
% 69.23/10.87 % (3043616)Instructions burned: 8050 (million)
% 69.23/10.87 % (3043616)------------------------------
% 69.23/10.87 % (3043616)------------------------------
% 69.23/10.87 % (3043528)Success in time 9.67 s
% 69.23/10.87 % Vampire exiting
%------------------------------------------------------------------------------