%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL029+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:55 PM UTC 2026
% Result : Theorem 6.65s 2.50s
% Output : Refutation 11.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 16
% Syntax : Number of formulae : 199 ( 159 unt; 2 def)
% Number of atoms : 249 ( 207 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 43 ~; 36 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 252 ( 0 sgn 246 !; 6 ?)
% 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,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> ( join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2)
& join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) = meet(composition(X0,X2),composition(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> ( join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2)) = composition(meet(X0,X1),X2)
& join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) = meet(composition(X0,X2),composition(X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( composition(meet(X0,X1),X2) != join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2))
| meet(composition(X0,X2),composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) )
& join(X0,one) = one
& join(X1,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( composition(meet(X0,X1),X2) != join(meet(composition(X0,X2),composition(X1,X2)),composition(meet(X0,X1),X2))
| meet(composition(X0,X2),composition(X1,X2)) != join(composition(meet(X0,X1),X2),meet(composition(X0,X2),composition(X1,X2))) )
& join(X0,one) = one
& join(X1,one) = one ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( ( composition(meet(sK0,sK1),sK2) != join(meet(composition(sK0,sK2),composition(sK1,sK2)),composition(meet(sK0,sK1),sK2))
| meet(composition(sK0,sK2),composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(composition(sK0,sK2),composition(sK1,sK2))) )
& one = join(sK0,one)
& one = join(sK1,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17]) ).
fof(f19,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f18]) ).
fof(f20,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
( composition(meet(sK0,sK1),sK2) != join(meet(composition(sK0,sK2),composition(sK1,sK2)),composition(meet(sK0,sK1),sK2))
| meet(composition(sK0,sK2),composition(sK1,sK2)) != join(composition(meet(sK0,sK1),sK2),meet(composition(sK0,sK2),composition(sK1,sK2))) ),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2))
| complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
inference(definition_unfolding,[],[f21,f26,f26,f26,f26,f26,f26]) ).
fof(f36,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f26]) ).
fof(f37,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f27,f29]) ).
fof(f38,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f23,f29]) ).
fof(f39,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
inference(forward_demodulation,[],[f35,f29]) ).
fof(f41,definition,
( spl3_1
<=> complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) = join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f42,plain,
( complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,definition,
( spl3_2
<=> composition(complement(join(complement(sK0),complement(sK1))),sK2) = join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f45,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f39,f44,f41]) ).
fof(f47,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f24,f34]) ).
fof(f54,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f31,f34]) ).
fof(f55,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f25,f31]) ).
fof(f68,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f37,f37]) ).
fof(f70,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f37,f29]) ).
fof(f71,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f68,f29]) ).
fof(f75,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f28,f37]) ).
fof(f83,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f29,f28]) ).
fof(f87,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f28,f22]) ).
fof(f152,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f54,f32]) ).
fof(f160,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f152,f34]) ).
fof(f169,plain,
one = converse(one),
inference(superposition,[],[f32,f160]) ).
fof(f174,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f38,f34]) ).
fof(f199,plain,
! [X2,X3,X0,X1] : composition(join(composition(X0,X1),X3),X2) = join(composition(X0,composition(X1,X2)),composition(X3,X2)),
inference(superposition,[],[f25,f33]) ).
fof(f209,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f55,f31]) ).
fof(f220,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f209,f24]) ).
fof(f227,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f220,f24]) ).
fof(f232,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f227,f31]) ).
fof(f252,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f34,f232]) ).
fof(f257,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f252,f34]) ).
fof(f290,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f257,f32]) ).
fof(f294,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f257,f32]) ).
fof(f299,plain,
! [X0,X1] : composition(join(X0,X0),X1) = composition(X0,join(X1,X1)),
inference(superposition,[],[f25,f257]) ).
fof(f306,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f294,f29]) ).
fof(f463,plain,
zero = complement(top),
inference(superposition,[],[f36,f22]) ).
fof(f655,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f306,f20]) ).
fof(f656,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK1)),
inference(superposition,[],[f306,f19]) ).
fof(f689,plain,
! [X0] : join(X0,composition(X0,sK1)) = X0,
inference(forward_demodulation,[],[f656,f32]) ).
fof(f690,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f655,f32]) ).
fof(f810,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f160,f169]) ).
fof(f929,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f47,f690]) ).
fof(f930,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK1))),
inference(superposition,[],[f47,f689]) ).
fof(f941,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK1),X0)),
inference(forward_demodulation,[],[f930,f54]) ).
fof(f942,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f929,f54]) ).
fof(f950,plain,
! [X0] : join(X0,composition(converse(sK1),X0)) = X0,
inference(forward_demodulation,[],[f941,f34]) ).
fof(f951,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f942,f34]) ).
fof(f982,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f290,f951]) ).
fof(f985,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f982,f32]) ).
fof(f998,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f985,f32]) ).
fof(f1027,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK1),one))),
inference(superposition,[],[f290,f950]) ).
fof(f1030,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK1))),
inference(forward_demodulation,[],[f1027,f32]) ).
fof(f1043,plain,
! [X0] : join(X0,composition(X0,converse(sK1))) = X0,
inference(forward_demodulation,[],[f1030,f32]) ).
fof(f1076,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f47,f998]) ).
fof(f1077,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f1076,f54]) ).
fof(f1097,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f1077,f34]) ).
fof(f1109,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f1097,f34]) ).
fof(f1121,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f28,f1109]) ).
fof(f1162,plain,
! [X0] : join(X0,top) = join(X0,complement(composition(sK0,X0))),
inference(superposition,[],[f1121,f22]) ).
fof(f1417,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK1)))),
inference(superposition,[],[f47,f1043]) ).
fof(f1418,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK1)),X0)),
inference(forward_demodulation,[],[f1417,f54]) ).
fof(f1440,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK1,X0)),
inference(forward_demodulation,[],[f1418,f34]) ).
fof(f1453,plain,
! [X0] : join(X0,composition(sK1,X0)) = X0,
inference(forward_demodulation,[],[f1440,f34]) ).
fof(f1464,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sK1,X0),X1)),
inference(superposition,[],[f83,f1453]) ).
fof(f1466,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK1,X0),X1)),
inference(superposition,[],[f28,f1453]) ).
fof(f1503,plain,
! [X0,X1] : join(X0,composition(sK1,X1)) = join(X0,composition(sK1,join(X0,X1))),
inference(superposition,[],[f1466,f257]) ).
fof(f1511,plain,
! [X0] : join(X0,top) = join(X0,complement(composition(sK1,X0))),
inference(superposition,[],[f1466,f22]) ).
fof(f1603,plain,
! [X0] : join(X0,composition(sK1,complement(X0))) = join(X0,composition(sK1,top)),
inference(superposition,[],[f1503,f22]) ).
fof(f2464,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f174,f810]) ).
fof(f2495,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f2464,f160]) ).
fof(f2518,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f87,f2495]) ).
fof(f2523,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,[],[f75,f2495]) ).
fof(f2529,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f2523,f37]) ).
fof(f2534,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f2518,f22]) ).
fof(f2567,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f2529,f71]) ).
fof(f2680,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(superposition,[],[f2567,f87]) ).
fof(f2683,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f2567,f1464]) ).
fof(f2720,plain,
! [X0,X1] : join(complement(join(complement(X0),join(complement(complement(X0)),X1))),complement(complement(X0))) = X0,
inference(superposition,[],[f37,f2567]) ).
fof(f2742,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(forward_demodulation,[],[f2720,f29]) ).
fof(f2758,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f2742,f87]) ).
fof(f2765,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2758,f2680]) ).
fof(f2775,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f37,f2765]) ).
fof(f2787,plain,
! [X0] : join(complement(X0),composition(sK1,top)) = join(complement(X0),composition(sK1,X0)),
inference(superposition,[],[f1603,f2765]) ).
fof(f2788,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f2495,f2765]) ).
fof(f2988,plain,
! [X0] : complement(X0) = join(complement(join(X0,X0)),complement(top)),
inference(superposition,[],[f2775,f22]) ).
fof(f3009,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f70,f2775]) ).
fof(f3012,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f2567,f2775]) ).
fof(f3033,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f3012,f29]) ).
fof(f3036,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f3009,f29]) ).
fof(f3051,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,X0))),
inference(forward_demodulation,[],[f2988,f29]) ).
fof(f3073,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f3033,f83]) ).
fof(f3076,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f3036,f29]) ).
fof(f3087,plain,
! [X0] : complement(X0) = join(complement(top),complement(X0)),
inference(forward_demodulation,[],[f3051,f2788]) ).
fof(f3100,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f3073,f2765]) ).
fof(f3103,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f3076,f28]) ).
fof(f3112,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f3087,f463]) ).
fof(f3124,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3103,f2683]) ).
fof(f3132,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3124,f2765]) ).
fof(f3163,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(composition(sK1,X0))),
inference(superposition,[],[f3132,f1453]) ).
fof(f3177,plain,
! [X0] : join(complement(X0),complement(composition(sK1,X0))) = join(complement(X0),complement(join(complement(X0),composition(sK1,top)))),
inference(superposition,[],[f3132,f2787]) ).
fof(f3239,plain,
! [X0] : join(complement(X0),complement(composition(sK1,top))) = join(complement(X0),complement(composition(sK1,X0))),
inference(forward_demodulation,[],[f3177,f3132]) ).
fof(f3252,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f3163,f1511]) ).
fof(f3292,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f3252,f22]) ).
fof(f3369,plain,
! [X0] : composition(sK1,X0) = join(complement(join(complement(composition(sK1,X0)),X0)),complement(join(complement(X0),complement(composition(sK1,top))))),
inference(superposition,[],[f70,f3239]) ).
fof(f3404,plain,
! [X0] : composition(sK1,X0) = join(complement(join(X0,complement(composition(sK1,X0)))),complement(join(complement(X0),complement(composition(sK1,top))))),
inference(forward_demodulation,[],[f3369,f29]) ).
fof(f3428,plain,
! [X0] : composition(sK1,X0) = join(complement(join(X0,top)),complement(join(complement(X0),complement(composition(sK1,top))))),
inference(forward_demodulation,[],[f3404,f1511]) ).
fof(f3438,plain,
! [X0] : composition(sK1,X0) = join(complement(top),complement(join(complement(X0),complement(composition(sK1,top))))),
inference(forward_demodulation,[],[f3428,f3292]) ).
fof(f3441,plain,
! [X0] : composition(sK1,X0) = join(zero,complement(join(complement(X0),complement(composition(sK1,top))))),
inference(forward_demodulation,[],[f3438,f463]) ).
fof(f3442,plain,
! [X0] : composition(sK1,X0) = complement(join(complement(X0),complement(composition(sK1,top)))),
inference(forward_demodulation,[],[f3441,f3112]) ).
fof(f3587,plain,
! [X0] : complement(composition(sK1,X0)) = join(complement(X0),complement(composition(sK1,top))),
inference(superposition,[],[f2765,f3442]) ).
fof(f3665,plain,
! [X0] : complement(composition(sK1,complement(X0))) = join(X0,complement(composition(sK1,top))),
inference(superposition,[],[f3587,f2765]) ).
fof(f4139,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X0,join(X1,complement(composition(sK1,top)))),
inference(superposition,[],[f28,f3665]) ).
fof(f4181,plain,
! [X0,X1] : complement(composition(sK1,complement(join(X0,X1)))) = join(X0,complement(composition(sK1,complement(X1)))),
inference(forward_demodulation,[],[f4139,f3665]) ).
fof(f4229,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = complement(composition(sK1,complement(join(X1,complement(X0))))),
inference(superposition,[],[f4181,f2765]) ).
fof(f4405,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = complement(composition(sK1,complement(join(complement(X0),X1)))),
inference(superposition,[],[f4229,f29]) ).
fof(f4623,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(composition(sK1,X0))),
inference(superposition,[],[f4405,f71]) ).
fof(f4677,plain,
! [X0,X1] : join(complement(X1),complement(composition(sK1,X0))) = join(complement(X0),complement(composition(sK1,X1))),
inference(superposition,[],[f4229,f4405]) ).
fof(f4796,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(composition(sK1,X0)),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f4623,f29]) ).
fof(f4869,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(composition(sK1,X0)),complement(join(complement(X1),join(complement(join(complement(X0),X1)),complement(X0))))),
inference(forward_demodulation,[],[f4796,f83]) ).
fof(f4903,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(composition(sK1,X0)),complement(join(complement(X1),join(complement(X0),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f4869,f29]) ).
fof(f4928,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(composition(sK1,X0)),complement(join(complement(X1),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f4903,f3132]) ).
fof(f4945,plain,
! [X0,X1] : complement(composition(sK1,complement(join(complement(X0),X1)))) = join(complement(composition(sK1,X0)),complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f4928,f3100]) ).
fof(f4956,plain,
! [X0,X1] : join(X1,complement(composition(sK1,X0))) = join(complement(composition(sK1,X0)),complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f4945,f4405]) ).
fof(f5000,plain,
! [X0] : join(complement(one),complement(composition(sK1,X0))) = join(complement(X0),complement(sK1)),
inference(superposition,[],[f4677,f32]) ).
fof(f5335,plain,
! [X0] : join(X0,complement(composition(sK1,composition(sK0,complement(X0))))) = join(complement(composition(sK1,composition(sK0,complement(X0)))),complement(join(complement(X0),top))),
inference(superposition,[],[f4956,f1162]) ).
fof(f5411,plain,
! [X0] : join(X0,complement(composition(sK1,composition(sK0,complement(X0))))) = join(complement(join(complement(X0),top)),complement(composition(sK1,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5335,f29]) ).
fof(f5474,plain,
! [X0] : join(X0,complement(composition(sK1,composition(sK0,complement(X0))))) = join(complement(join(top,complement(X0))),complement(composition(sK1,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5411,f29]) ).
fof(f5530,plain,
! [X0] : join(X0,complement(composition(sK1,composition(sK0,complement(X0))))) = join(complement(top),complement(composition(sK1,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5474,f2534]) ).
fof(f5577,plain,
! [X0] : join(X0,complement(composition(sK1,composition(sK0,complement(X0))))) = join(zero,complement(composition(sK1,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5530,f463]) ).
fof(f5612,plain,
! [X0] : complement(composition(sK1,composition(sK0,complement(X0)))) = join(X0,complement(composition(sK1,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5577,f3112]) ).
fof(f5961,plain,
! [X0] : complement(composition(sK1,composition(sK0,X0))) = join(complement(X0),complement(composition(sK1,composition(sK0,X0)))),
inference(superposition,[],[f5612,f2765]) ).
fof(f6078,plain,
complement(composition(sK1,sK0)) = join(complement(one),complement(composition(sK1,sK0))),
inference(superposition,[],[f5961,f32]) ).
fof(f6120,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK1,sK0)),
inference(forward_demodulation,[],[f6078,f5000]) ).
fof(f6169,plain,
( complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))) != join(composition(complement(complement(composition(sK1,sK0))),sK2),complement(join(complement(composition(sK0,sK2)),complement(composition(sK1,sK2)))))
| spl3_1 ),
inference(superposition,[],[f42,f6120]) ).
fof(f6214,plain,
( complement(join(complement(sK2),complement(composition(sK1,composition(sK0,sK2))))) != join(composition(complement(complement(composition(sK1,sK0))),sK2),complement(join(complement(sK2),complement(composition(sK1,composition(sK0,sK2))))))
| spl3_1 ),
inference(forward_demodulation,[],[f6169,f4677]) ).
fof(f6230,plain,
( complement(complement(composition(sK1,composition(sK0,sK2)))) != join(composition(complement(complement(composition(sK1,sK0))),sK2),complement(complement(composition(sK1,composition(sK0,sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f6214,f5961]) ).
fof(f6245,plain,
( complement(complement(composition(sK1,composition(sK0,sK2)))) != join(complement(complement(composition(sK1,composition(sK0,sK2)))),composition(complement(complement(composition(sK1,sK0))),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f6230,f29]) ).
fof(f6251,plain,
( complement(complement(composition(sK1,composition(sK0,sK2)))) != join(complement(complement(composition(sK1,composition(sK0,sK2)))),composition(composition(sK1,sK0),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f6245,f2765]) ).
fof(f6252,plain,
( complement(complement(composition(sK1,composition(sK0,sK2)))) != join(composition(composition(sK1,sK0),sK2),complement(complement(composition(sK1,composition(sK0,sK2)))))
| spl3_1 ),
inference(forward_demodulation,[],[f6251,f29]) ).
fof(f6253,plain,
( composition(sK1,composition(sK0,sK2)) != join(composition(composition(sK1,sK0),sK2),composition(sK1,composition(sK0,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f6252,f2765]) ).
fof(f6254,plain,
( composition(sK1,composition(sK0,sK2)) != join(composition(sK1,composition(sK0,sK2)),composition(composition(sK1,sK0),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f6253,f29]) ).
fof(f6255,plain,
( composition(sK1,composition(sK0,sK2)) != composition(join(composition(sK1,sK0),composition(sK1,sK0)),sK2)
| spl3_1 ),
inference(forward_demodulation,[],[f6254,f199]) ).
fof(f6256,plain,
( composition(sK1,composition(sK0,sK2)) != composition(composition(sK1,sK0),join(sK2,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f6255,f299]) ).
fof(f6257,plain,
( composition(sK1,composition(sK0,sK2)) != composition(sK1,composition(sK0,join(sK2,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f6256,f33]) ).
fof(f6258,plain,
( composition(sK1,composition(sK0,sK2)) != composition(sK1,composition(sK0,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f6257,f2788]) ).
fof(f6259,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f6258]) ).
fof(f6260,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f6259]) ).
fof(f6261,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(join(complement(sK2),complement(composition(sK1,composition(sK0,sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f45,f4677]) ).
fof(f6262,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(composition(complement(join(complement(sK0),complement(sK1))),sK2),complement(complement(composition(sK1,composition(sK0,sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f6261,f5961]) ).
fof(f6263,plain,
( composition(complement(join(complement(sK0),complement(sK1))),sK2) != join(complement(complement(composition(sK1,composition(sK0,sK2)))),composition(complement(join(complement(sK0),complement(sK1))),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f6262,f29]) ).
fof(f6264,plain,
( composition(complement(complement(composition(sK1,sK0))),sK2) != join(complement(complement(composition(sK1,composition(sK0,sK2)))),composition(complement(complement(composition(sK1,sK0))),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f6263,f6120]) ).
fof(f6265,plain,
( composition(composition(sK1,sK0),sK2) != join(complement(complement(composition(sK1,composition(sK0,sK2)))),composition(composition(sK1,sK0),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f6264,f2765]) ).
fof(f6266,plain,
( composition(composition(sK1,sK0),sK2) != join(composition(composition(sK1,sK0),sK2),complement(complement(composition(sK1,composition(sK0,sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f6265,f29]) ).
fof(f6267,plain,
( composition(composition(sK1,sK0),sK2) != join(composition(composition(sK1,sK0),sK2),composition(sK1,composition(sK0,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f6266,f2765]) ).
fof(f6268,plain,
( composition(composition(sK1,sK0),sK2) != join(composition(sK1,composition(sK0,sK2)),composition(composition(sK1,sK0),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f6267,f29]) ).
fof(f6269,plain,
( composition(composition(sK1,sK0),sK2) != composition(join(composition(sK1,sK0),composition(sK1,sK0)),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f6268,f199]) ).
fof(f6270,plain,
( composition(composition(sK1,sK0),sK2) != composition(composition(sK1,sK0),join(sK2,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f6269,f299]) ).
fof(f6271,plain,
( composition(composition(sK1,sK0),sK2) != composition(sK1,composition(sK0,join(sK2,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f6270,f33]) ).
fof(f6272,plain,
( composition(sK1,composition(sK0,sK2)) != composition(composition(sK1,sK0),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f6271,f2788]) ).
fof(f6273,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f6272,f33]) ).
fof(f6274,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f6273]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f6260]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f6274]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f6275,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL029+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 22:53:01 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 6.65/2.50 % (1259178)Detected formulas, will run a generic FOF schedule.
% 6.65/2.50 % (1259184)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=4215693004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/2.50 % (1259188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1431560588:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/2.50 % (1259186)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=142689746:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/2.50 % (1259183)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=3037576288:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/2.50 % (1259187)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4192470642:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/2.50 % (1259185)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=3044631226:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/2.50 % (1259189)dis-21_1_sil=8000:lcm=predicate:random_seed=3314849685: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)
% 6.65/2.50 % (1259189)Refutation not found, incomplete strategy
% 6.65/2.50 % (1259189)------------------------------
% 6.65/2.50 % (1259189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259189)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259189)Termination reason: Refutation not found, incomplete strategy
% 6.65/2.50 % (1259189)Time elapsed: 0.003 s
% 6.65/2.50 % (1259189)Peak memory usage: 88 MB
% 6.65/2.50 % (1259189)Instructions burned: 1 (million)
% 6.65/2.50 % (1259188)Instruction limit reached!
% 6.65/2.50 % (1259188)------------------------------
% 6.65/2.50 % (1259188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259188)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259188)Termination reason: Instruction limit
% 6.65/2.50 % (1259188)Termination phase: Saturation
% 6.65/2.50 % (1259188)Time elapsed: 0.099 s
% 6.65/2.50 % (1259188)Peak memory usage: 89 MB
% 6.65/2.50 % (1259188)Instructions burned: 139 (million)
% 6.65/2.50 % (1259186)Instruction limit reached!
% 6.65/2.50 % (1259186)------------------------------
% 6.65/2.50 % (1259186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259186)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259186)Termination reason: Instruction limit
% 6.65/2.50 % (1259186)Termination phase: Saturation
% 6.65/2.50 % (1259186)Time elapsed: 0.090 s
% 6.65/2.50 % (1259186)Peak memory usage: 89 MB
% 6.65/2.50 % (1259186)Instructions burned: 109 (million)
% 6.65/2.50 % (1259187)Instruction limit reached!
% 6.65/2.50 % (1259187)------------------------------
% 6.65/2.50 % (1259187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259187)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259187)Termination reason: Instruction limit
% 6.65/2.50 % (1259187)Termination phase: Saturation
% 6.65/2.50 % (1259187)Time elapsed: 0.105 s
% 6.65/2.50 % (1259187)Peak memory usage: 88 MB
% 6.65/2.50 % (1259187)Instructions burned: 120 (million)
% 6.65/2.50 % (1259198)lrs+10_1_sil=32000:urr=on:br=off:random_seed=838037063:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.65/2.50 % (1259197)lrs+10_1_sil=8000:sp=occurrence:random_seed=3148472771:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.65/2.50 % (1259198)Instruction limit reached!
% 6.65/2.50 % (1259198)------------------------------
% 6.65/2.50 % (1259198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259198)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259198)Termination reason: Instruction limit
% 6.65/2.50 % (1259198)Termination phase: Saturation
% 6.65/2.50 % (1259198)Time elapsed: 0.108 s
% 6.65/2.50 % (1259198)Peak memory usage: 89 MB
% 6.65/2.50 % (1259198)Instructions burned: 157 (million)
% 6.65/2.50 % (1259199)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2418863865:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.65/2.50 % (1259189)------------------------------
% 6.65/2.50 % (1259189)------------------------------
% 6.65/2.50 % (1259202)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=2079919209:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.65/2.50 % (1259197)Instruction limit reached!
% 6.65/2.50 % (1259197)------------------------------
% 6.65/2.50 % (1259197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259197)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259197)Termination reason: Instruction limit
% 6.65/2.50 % (1259197)Termination phase: Saturation
% 6.65/2.50 % (1259197)Time elapsed: 0.295 s
% 6.65/2.50 % (1259197)Peak memory usage: 92 MB
% 6.65/2.50 % (1259197)Instructions burned: 285 (million)
% 6.65/2.50 % (1259199)Instruction limit reached!
% 6.65/2.50 % (1259199)------------------------------
% 6.65/2.50 % (1259199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259199)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259199)Termination reason: Instruction limit
% 6.65/2.50 % (1259199)Termination phase: Saturation
% 6.65/2.50 % (1259199)Time elapsed: 0.279 s
% 6.65/2.50 % (1259199)Peak memory usage: 92 MB
% 6.65/2.50 % (1259199)Instructions burned: 326 (million)
% 6.65/2.50 % (1259204)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1121590859:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.65/2.50 % (1259202)Instruction limit reached!
% 6.65/2.50 % (1259202)------------------------------
% 6.65/2.50 % (1259202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259202)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259202)Termination reason: Instruction limit
% 6.65/2.50 % (1259202)Termination phase: Saturation
% 6.65/2.50 % (1259202)Time elapsed: 0.216 s
% 6.65/2.50 % (1259202)Peak memory usage: 91 MB
% 6.65/2.50 % (1259202)Instructions burned: 248 (million)
% 6.65/2.50 % (1259206)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4004815043:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 6.65/2.50 % (1259184)First to succeed.
% 6.65/2.50 % (1259184)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1259178"
% 6.65/2.50 % (1259207)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3702898459:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 6.65/2.50 % (1259204)Instruction limit reached!
% 6.65/2.50 % (1259204)------------------------------
% 6.65/2.50 % (1259204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259204)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259204)Termination reason: Instruction limit
% 6.65/2.50 % (1259204)Termination phase: Saturation
% 6.65/2.50 % (1259204)Time elapsed: 0.277 s
% 6.65/2.50 % (1259204)Peak memory usage: 91 MB
% 6.65/2.50 % (1259204)Instructions burned: 295 (million)
% 6.65/2.50 % (1259209)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=788735472:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 6.65/2.50 % (1259209)Refutation not found, incomplete strategy
% 6.65/2.50 % (1259209)------------------------------
% 6.65/2.50 % (1259209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259209)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259209)Termination reason: Refutation not found, incomplete strategy
% 6.65/2.50 % (1259209)Time elapsed: 0.002 s
% 6.65/2.50 % (1259209)Peak memory usage: 88 MB
% 6.65/2.50 % (1259209)Instructions burned: 1 (million)
% 6.65/2.50 % (1259207)Instruction limit reached!
% 6.65/2.50 % (1259207)------------------------------
% 6.65/2.50 % (1259207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.50 % (1259207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.50 % (1259207)CaDiCaL version: 2.1.3
% 6.65/2.50 % (1259207)Termination reason: Instruction limit
% 6.65/2.50 % (1259207)Termination phase: Saturation
% 6.65/2.50 % (1259207)Time elapsed: 0.096 s
% 6.65/2.50 % (1259207)Peak memory usage: 89 MB
% 6.65/2.50 % (1259207)Instructions burned: 113 (million)
% 6.65/2.50 % (1259184)Refutation found. Thanks to Tanya!
% 6.65/2.50 % SZS status Theorem for theBenchmark
% 6.65/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 11.03/2.64 % (1259184)------------------------------
% 11.03/2.64 % (1259184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.64 % (1259184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.64 % (1259184)CaDiCaL version: 2.1.3
% 11.03/2.64 % (1259184)Termination reason: Refutation
% 11.03/2.64 % (1259184)Time elapsed: 1.016 s
% 11.03/2.64 % (1259184)Peak memory usage: 137 MB
% 11.03/2.64 % (1259184)Instructions burned: 1716 (million)
% 11.03/2.64 % (1259184)------------------------------
% 11.03/2.64 % (1259184)------------------------------
% 11.03/2.64 % (1259178)Success in time 1.465 s
% 11.03/2.64 % Vampire exiting
%------------------------------------------------------------------------------