%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050+2 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:09 PM UTC 2026
% Result : Theorem 14.78s 4.32s
% Output : Refutation 25.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 21
% Syntax : Number of formulae : 150 ( 137 unt; 7 def)
% Number of atoms : 163 ( 147 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 9 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn 177 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( composition(complement(composition(X0,top)),top) != join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top))
| complement(composition(X0,top)) != join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
( composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top))
| complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = composition(sF2,top),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
composition(sF2,top) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF5 = join(sF3,sF2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF2) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
( sF3 != sF4
| sF2 != sF5 ),
inference(definition_folding,[],[f31,f42,f36,f34,f38,f36,f34,f36,f34,f40,f38,f36,f34,f36,f34,f38,f36,f34]) ).
fof(f45,definition,
( spl6_1
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f47,plain,
( sF2 != sF5
| spl6_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl6_2
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f52,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f43,f49,f45]) ).
fof(f54,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f73,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f74,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f77,plain,
join(sF2,sF3) = sF5,
inference(superposition,[],[f42,f18]) ).
fof(f78,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f77,f40]) ).
fof(f86,plain,
( sF2 != sF4
| spl6_1 ),
inference(superposition,[],[f47,f78]) ).
fof(f114,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f116,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f121,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f116,f27]) ).
fof(f130,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f121,f26]) ).
fof(f133,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f130,f26]) ).
fof(f135,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f133,f27]) ).
fof(f151,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f135]) ).
fof(f152,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f151,f25]) ).
fof(f171,plain,
! [X0] : composition(sK0,join(top,X0)) = join(sF1,composition(sK0,X0)),
inference(superposition,[],[f152,f34]) ).
fof(f173,plain,
! [X0] : composition(sF2,join(X0,top)) = join(composition(sF2,X0),sF3),
inference(superposition,[],[f152,f38]) ).
fof(f245,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f19,f29]) ).
fof(f249,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f294,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f152,f23]) ).
fof(f301,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f114,f23]) ).
fof(f315,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f301,f25]) ).
fof(f331,plain,
one = converse(one),
inference(superposition,[],[f23,f315]) ).
fof(f347,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f315,f331]) ).
fof(f410,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f28,f25]) ).
fof(f420,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f28,f315]) ).
fof(f428,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f420,f347]) ).
fof(f497,plain,
! [X0] : composition(sK0,composition(top,X0)) = composition(sF1,X0),
inference(superposition,[],[f22,f34]) ).
fof(f571,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f294,f29]) ).
fof(f668,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f249,f428]) ).
fof(f683,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f668,f20]) ).
fof(f707,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(superposition,[],[f683,f245]) ).
fof(f708,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f683,f29]) ).
fof(f720,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f20,f683]) ).
fof(f739,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f720,f245]) ).
fof(f749,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f739,f707]) ).
fof(f756,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f73,f749]) ).
fof(f764,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f428,f749]) ).
fof(f815,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(superposition,[],[f74,f756]) ).
fof(f837,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f815,f19]) ).
fof(f868,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f837,f683]) ).
fof(f879,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f868,f749]) ).
fof(f885,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f879,f18]) ).
fof(f886,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = join(complement(join(complement(X1),X0)),X1),
inference(superposition,[],[f879,f245]) ).
fof(f962,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),X1) = X1,
inference(forward_demodulation,[],[f886,f707]) ).
fof(f1001,plain,
! [X0,X1] : join(complement(X1),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f885,f885]) ).
fof(f1026,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(complement(join(X0,X1))),X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f756,f885]) ).
fof(f1062,plain,
! [X0,X1] : complement(X1) = join(complement(join(join(X0,X1),X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1026,f749]) ).
fof(f1087,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,join(X1,X1))),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1062,f19]) ).
fof(f1097,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1087,f764]) ).
fof(f1106,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1097,f1001]) ).
fof(f1161,plain,
! [X0,X1] : complement(complement(X0)) = join(complement(join(complement(complement(join(X1,X0))),complement(X0))),complement(complement(X0))),
inference(superposition,[],[f756,f1106]) ).
fof(f1162,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(complement(join(X1,X0))),complement(X0)),
inference(superposition,[],[f879,f1106]) ).
fof(f1164,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(join(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f1162,f749]) ).
fof(f1165,plain,
! [X0,X1] : join(complement(join(complement(complement(join(X1,X0))),complement(X0))),X0) = X0,
inference(forward_demodulation,[],[f1161,f749]) ).
fof(f1189,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X1,join(X0,complement(X0))),
inference(forward_demodulation,[],[f1164,f19]) ).
fof(f1190,plain,
! [X0,X1] : join(complement(join(join(X1,X0),complement(X0))),X0) = X0,
inference(forward_demodulation,[],[f1165,f749]) ).
fof(f1207,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X1,top),
inference(forward_demodulation,[],[f1189,f29]) ).
fof(f1208,plain,
! [X0,X1] : join(complement(join(X1,join(X0,complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f1190,f19]) ).
fof(f1215,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f1207,f29]) ).
fof(f1216,plain,
! [X0,X1] : join(complement(join(X1,top)),X0) = X0,
inference(forward_demodulation,[],[f1208,f29]) ).
fof(f1222,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f1216,f1215]) ).
fof(f1321,plain,
! [X0] : join(X0,complement(X0)) = join(complement(complement(top)),X0),
inference(superposition,[],[f885,f1222]) ).
fof(f1337,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f1321,f749]) ).
fof(f1351,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1337,f29]) ).
fof(f1362,plain,
! [X0] : composition(sK0,top) = join(sF1,composition(sK0,X0)),
inference(superposition,[],[f171,f1351]) ).
fof(f1383,plain,
! [X0] : sF1 = join(sF1,composition(sK0,X0)),
inference(forward_demodulation,[],[f1362,f34]) ).
fof(f1432,plain,
! [X0] : composition(sF2,top) = join(composition(sF2,complement(join(complement(top),X0))),sF3),
inference(superposition,[],[f173,f962]) ).
fof(f1433,plain,
! [X0] : composition(sF2,top) = join(composition(sF2,complement(X0)),sF3),
inference(forward_demodulation,[],[f1432,f1222]) ).
fof(f1453,plain,
! [X0] : sF3 = join(composition(sF2,complement(X0)),sF3),
inference(forward_demodulation,[],[f1433,f38]) ).
fof(f1474,plain,
! [X0] : sF3 = join(composition(sF2,X0),sF3),
inference(superposition,[],[f1453,f749]) ).
fof(f2456,plain,
zero = complement(top),
inference(superposition,[],[f32,f29]) ).
fof(f2466,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f683,f32]) ).
fof(f2468,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f962,f32]) ).
fof(f2492,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = complement(zero),
inference(superposition,[],[f749,f32]) ).
fof(f2505,plain,
top = complement(zero),
inference(forward_demodulation,[],[f2492,f29]) ).
fof(f4824,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))),
inference(superposition,[],[f18,f410]) ).
fof(f5398,plain,
join(sF1,composition(sK0,composition(top,complement(one)))) = composition(sK0,composition(top,top)),
inference(superposition,[],[f171,f571]) ).
fof(f5408,plain,
composition(sF1,top) = join(sF1,composition(sK0,composition(top,complement(one)))),
inference(forward_demodulation,[],[f5398,f497]) ).
fof(f5433,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f5408,f1383]) ).
fof(f5514,plain,
complement(top) = join(composition(converse(sF1),complement(sF1)),complement(top)),
inference(superposition,[],[f28,f5433]) ).
fof(f5529,plain,
complement(top) = composition(converse(sF1),complement(sF1)),
inference(forward_demodulation,[],[f5514,f708]) ).
fof(f5537,plain,
complement(top) = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f5529,f36]) ).
fof(f5539,plain,
zero = composition(converse(sF1),sF2),
inference(forward_demodulation,[],[f5537,f2456]) ).
fof(f5693,plain,
sF3 = join(sF2,sF3),
inference(superposition,[],[f1474,f23]) ).
fof(f5717,plain,
sF3 = sF4,
inference(forward_demodulation,[],[f5693,f40]) ).
fof(f5721,plain,
spl6_2,
inference(avatar_split_clause,[],[f5717,f49]) ).
fof(f10752,plain,
converse(zero) = composition(converse(sF2),sF1),
inference(superposition,[],[f114,f5539]) ).
fof(f11436,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f54,f2468]) ).
fof(f11458,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f11436,f25]) ).
fof(f27150,plain,
zero = converse(zero),
inference(superposition,[],[f2466,f11458]) ).
fof(f28228,plain,
complement(sF1) = join(complement(sF1),composition(sF2,complement(converse(zero)))),
inference(superposition,[],[f4824,f10752]) ).
fof(f28266,plain,
complement(sF1) = join(complement(sF1),composition(sF2,complement(zero))),
inference(forward_demodulation,[],[f28228,f27150]) ).
fof(f28276,plain,
complement(sF1) = join(complement(sF1),composition(sF2,top)),
inference(forward_demodulation,[],[f28266,f2505]) ).
fof(f28283,plain,
complement(sF1) = join(complement(sF1),sF3),
inference(forward_demodulation,[],[f28276,f38]) ).
fof(f28288,plain,
sF2 = join(sF2,sF3),
inference(forward_demodulation,[],[f28283,f36]) ).
fof(f28291,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f28288,f40]) ).
fof(f28294,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f28291,f86]) ).
fof(f28295,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f28294]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f52]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f5721]) ).
cnf(s3,plain,
spl6_1,
inference(sat_conversion,[],[f28295]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f28300,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL050+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n004.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 22:57:22 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.04/3.23 % (3980508)Detected formulas, will run a generic FOF schedule.
% 17.04/3.23 % (3980522)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2472732516:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 17.04/3.23 % (3980522)Instruction limit reached!
% 17.04/3.23 % (3980522)------------------------------
% 17.04/3.23 % (3980522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23 % (3980522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23 % (3980522)CaDiCaL version: 2.1.3
% 17.04/3.23 % (3980522)Termination reason: Instruction limit
% 17.04/3.23 % (3980522)Termination phase: Saturation
% 17.04/3.23 % (3980522)Time elapsed: 0.048 s
% 17.04/3.23 % (3980522)Peak memory usage: 90 MB
% 17.04/3.23 % (3980522)Instructions burned: 141 (million)
% 17.04/3.23 % (3980517)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=110478686:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 17.04/3.23 % (3980523)dis-21_1_sil=8000:lcm=predicate:random_seed=2357192598:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 17.04/3.23 % (3980523)Refutation not found, incomplete strategy
% 17.04/3.23 % (3980523)------------------------------
% 17.04/3.23 % (3980523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23 % (3980523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23 % (3980523)CaDiCaL version: 2.1.3
% 17.04/3.23 % (3980523)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.23 % (3980523)Time elapsed: 0.001 s
% 17.04/3.23 % (3980523)Peak memory usage: 88 MB
% 17.04/3.23 % (3980523)Instructions burned: 1 (million)
% 17.04/3.23 % (3980518)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=48877111:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 17.04/3.23 % (3980519)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=3340038696:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 17.04/3.23 % (3980520)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3407387118:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 17.04/3.23 % (3980521)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3699999157:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 17.04/3.23 % (3980521)Instruction limit reached!
% 17.04/3.23 % (3980521)------------------------------
% 17.04/3.23 % (3980521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23 % (3980521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23 % (3980521)CaDiCaL version: 2.1.3
% 17.04/3.23 % (3980521)Termination reason: Instruction limit
% 17.04/3.23 % (3980521)Termination phase: Saturation
% 17.04/3.23 % (3980521)Time elapsed: 0.107 s
% 17.04/3.23 % (3980521)Peak memory usage: 88 MB
% 17.04/3.23 % (3980521)Instructions burned: 119 (million)
% 17.04/3.23 % (3980520)Instruction limit reached!
% 17.04/3.23 % (3980520)------------------------------
% 17.04/3.23 % (3980520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23 % (3980520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23 % (3980520)CaDiCaL version: 2.1.3
% 17.04/3.23 % (3980520)Termination reason: Instruction limit
% 17.04/3.23 % (3980520)Termination phase: Saturation
% 17.04/3.23 % (3980520)Time elapsed: 0.115 s
% 17.04/3.23 % (3980520)Peak memory usage: 89 MB
% 17.04/3.23 % (3980520)Instructions burned: 110 (million)
% 17.04/3.23 % (3980527)lrs+10_1_sil=8000:sp=occurrence:random_seed=3775024509:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 17.04/3.23 % (3980523)------------------------------
% 17.04/3.23 % (3980523)------------------------------
% 17.04/3.23 % (3980536)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4148074648:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.04/3.23 % (3980537)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1060682317:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 17.04/3.23 % (3980539)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=365993149:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.78/4.32 % (3980527)Instruction limit reached!
% 14.78/4.32 % (3980527)------------------------------
% 14.78/4.32 % (3980527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980527)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980527)Termination reason: Instruction limit
% 14.78/4.32 % (3980527)Termination phase: Saturation
% 14.78/4.32 % (3980527)Time elapsed: 0.274 s
% 14.78/4.32 % (3980527)Peak memory usage: 92 MB
% 14.78/4.32 % (3980527)Instructions burned: 285 (million)
% 14.78/4.32 % (3980536)Instruction limit reached!
% 14.78/4.32 % (3980536)------------------------------
% 14.78/4.32 % (3980536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980536)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980536)Termination reason: Instruction limit
% 14.78/4.32 % (3980536)Termination phase: Saturation
% 14.78/4.32 % (3980536)Time elapsed: 0.160 s
% 14.78/4.32 % (3980536)Peak memory usage: 90 MB
% 14.78/4.32 % (3980536)Instructions burned: 157 (million)
% 14.78/4.32 % (3980539)Instruction limit reached!
% 14.78/4.32 % (3980539)------------------------------
% 14.78/4.32 % (3980539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980539)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980539)Termination reason: Instruction limit
% 14.78/4.32 % (3980539)Termination phase: Saturation
% 14.78/4.32 % (3980539)Time elapsed: 0.130 s
% 14.78/4.32 % (3980539)Peak memory usage: 92 MB
% 14.78/4.32 % (3980539)Instructions burned: 249 (million)
% 14.78/4.32 % (3980543)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=209976269:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.78/4.32 % (3980544)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3724842569:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 14.78/4.32 % (3980537)Instruction limit reached!
% 14.78/4.32 % (3980537)------------------------------
% 14.78/4.32 % (3980537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980537)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980537)Termination reason: Instruction limit
% 14.78/4.32 % (3980537)Termination phase: Saturation
% 14.78/4.32 % (3980537)Time elapsed: 0.326 s
% 14.78/4.32 % (3980537)Peak memory usage: 92 MB
% 14.78/4.32 % (3980537)Instructions burned: 325 (million)
% 14.78/4.32 % (3980545)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2136953755:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.78/4.32 % (3980545)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980545)------------------------------
% 14.78/4.32 % (3980545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980545)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980545)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980545)Time elapsed: 0.002 s
% 14.78/4.32 % (3980545)Peak memory usage: 88 MB
% 14.78/4.32 % (3980543)Instruction limit reached!
% 14.78/4.32 % (3980543)------------------------------
% 14.78/4.32 % (3980543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980543)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980543)Termination reason: Instruction limit
% 14.78/4.32 % (3980543)Termination phase: Saturation
% 14.78/4.32 % (3980543)Time elapsed: 0.170 s
% 14.78/4.32 % (3980543)Peak memory usage: 92 MB
% 14.78/4.32 % (3980543)Instructions burned: 294 (million)
% 14.78/4.32 % (3980550)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2586665076:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 14.78/4.32 % (3980550)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980550)------------------------------
% 14.78/4.32 % (3980550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980550)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980550)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980550)Time elapsed: 0.002 s
% 14.78/4.32 % (3980550)Peak memory usage: 88 MB
% 14.78/4.32 % (3980519)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980519)------------------------------
% 14.78/4.32 % (3980519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980519)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980519)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980519)Time elapsed: 0.944 s
% 14.78/4.32 % (3980519)Peak memory usage: 128 MB
% 14.78/4.32 % (3980519)Instructions burned: 889 (million)
% 14.78/4.32 % (3980552)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1537358898:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 14.78/4.32 % (3980552)Instruction limit reached!
% 14.78/4.32 % (3980552)------------------------------
% 14.78/4.32 % (3980552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980552)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980552)Termination reason: Instruction limit
% 14.78/4.32 % (3980552)Termination phase: Saturation
% 14.78/4.32 % (3980552)Time elapsed: 0.104 s
% 14.78/4.32 % (3980552)Peak memory usage: 88 MB
% 14.78/4.32 % (3980552)Instructions burned: 115 (million)
% 14.78/4.32 % (3980545)------------------------------
% 14.78/4.32 % (3980545)------------------------------
% 14.78/4.32 % (3980550)------------------------------
% 14.78/4.32 % (3980550)------------------------------
% 14.78/4.32 % (3980555)lrs+10_1_sil=8000:sp=occurrence:random_seed=3939439701:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 14.78/4.32 % (3980556)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4044582385:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 14.78/4.32 % (3980556)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980556)------------------------------
% 14.78/4.32 % (3980556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980556)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980556)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980556)Time elapsed: 0.002 s
% 14.78/4.32 % (3980556)Peak memory usage: 89 MB
% 14.78/4.32 % (3980519)------------------------------
% 14.78/4.32 % (3980519)------------------------------
% 14.78/4.32 % (3980557)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=59228061:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 14.78/4.32 % (3980560)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3313813150:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 14.78/4.32 % (3980560)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980560)------------------------------
% 14.78/4.32 % (3980560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980560)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980560)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980560)Time elapsed: 0.002 s
% 14.78/4.32 % (3980560)Peak memory usage: 89 MB
% 14.78/4.32 % (3980556)------------------------------
% 14.78/4.32 % (3980556)------------------------------
% 14.78/4.32 % (3980563)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3684082349:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 14.78/4.32 % (3980560)------------------------------
% 14.78/4.32 % (3980560)------------------------------
% 14.78/4.32 % (3980555)Instruction limit reached!
% 14.78/4.32 % (3980555)------------------------------
% 14.78/4.32 % (3980555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980555)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980555)Termination reason: Instruction limit
% 14.78/4.32 % (3980555)Termination phase: Saturation
% 14.78/4.32 % (3980555)Time elapsed: 0.893 s
% 14.78/4.32 % (3980555)Peak memory usage: 96 MB
% 14.78/4.32 % (3980555)Instructions burned: 907 (million)
% 14.78/4.32 % (3980567)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=566518311:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 14.78/4.32 % (3980568)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=3020170485:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 14.78/4.32 % (3980563)Instruction limit reached!
% 14.78/4.32 % (3980563)------------------------------
% 14.78/4.32 % (3980563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980563)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980563)Termination reason: Instruction limit
% 14.78/4.32 % (3980563)Termination phase: Saturation
% 14.78/4.32 % (3980563)Time elapsed: 0.554 s
% 14.78/4.32 % (3980563)Peak memory usage: 96 MB
% 14.78/4.32 % (3980563)Instructions burned: 592 (million)
% 14.78/4.32 % (3980568)Instruction limit reached!
% 14.78/4.32 % (3980568)------------------------------
% 14.78/4.32 % (3980568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980568)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980568)Termination reason: Instruction limit
% 14.78/4.32 % (3980568)Termination phase: Saturation
% 14.78/4.32 % (3980568)Time elapsed: 0.092 s
% 14.78/4.32 % (3980568)Peak memory usage: 90 MB
% 14.78/4.32 % (3980568)Instructions burned: 125 (million)
% 14.78/4.32 % (3980572)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2703872664:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 14.78/4.32 % (3980572)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980572)------------------------------
% 14.78/4.32 % (3980572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980572)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980572)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980572)Time elapsed: 0.001 s
% 14.78/4.32 % (3980572)Peak memory usage: 88 MB
% 14.78/4.32 % (3980571)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3810774756:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 14.78/4.32 % (3980517)First to succeed.
% 14.78/4.32 % (3980571)Instruction limit reached!
% 14.78/4.32 % (3980571)------------------------------
% 14.78/4.32 % (3980571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980571)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980571)Termination reason: Instruction limit
% 14.78/4.32 % (3980571)Termination phase: Saturation
% 14.78/4.32 % (3980571)Time elapsed: 0.121 s
% 14.78/4.32 % (3980571)Peak memory usage: 89 MB
% 14.78/4.32 % (3980571)Instructions burned: 134 (million)
% 14.78/4.32 % (3980517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3980508"
% 14.78/4.32 % (3980544)Also succeeded, but the first one will report.
% 14.78/4.32 % (3980575)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1798842880:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 14.78/4.32 % (3980575)Refutation not found, incomplete strategy
% 14.78/4.32 % (3980575)------------------------------
% 14.78/4.32 % (3980575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.32 % (3980575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.32 % (3980575)CaDiCaL version: 2.1.3
% 14.78/4.32 % (3980575)Termination reason: Refutation not found, incomplete strategy
% 14.78/4.32 % (3980575)Time elapsed: 0.003 s
% 14.78/4.32 % (3980575)Peak memory usage: 88 MB
% 14.78/4.32 % (3980575)Instructions burned: 1 (million)
% 14.78/4.32 % (3980572)------------------------------
% 14.78/4.32 % (3980572)------------------------------
% 14.78/4.32 % (3980517)Refutation found. Thanks to Tanya!
% 14.78/4.32 % SZS status Theorem for theBenchmark
% 14.78/4.32 % SZS output start Proof for theBenchmark
% See solution above
% 25.40/4.63 % (3980517)------------------------------
% 25.40/4.63 % (3980517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.40/4.63 % (3980517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.40/4.63 % (3980517)CaDiCaL version: 2.1.3
% 25.40/4.63 % (3980517)Termination reason: Refutation
% 25.40/4.63 % (3980517)Time elapsed: 2.881 s
% 25.40/4.63 % (3980517)Peak memory usage: 147 MB
% 25.40/4.63 % (3980517)Instructions burned: 2851 (million)
% 25.40/4.63 % (3980517)------------------------------
% 25.40/4.63 % (3980517)------------------------------
% 25.40/4.63 % (3980508)Success in time 3.512 s
% 25.40/4.63 % Vampire exiting
%------------------------------------------------------------------------------