%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL008+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 : n020.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 12:33:40 PM UTC 2026
% Result : Theorem 10.41s 2.59s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 77 unt; 2 def)
% Number of atoms : 131 ( 102 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 57 ( 30 ~; 23 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 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 : 136 ( 0 sgn 133 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2))
& join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X1),composition(X0,X2))
& join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) = composition(X0,join(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( join(join(composition(X0,join(X1,X2)),composition(X0,X1)),composition(X0,X2)) != join(composition(X0,X1),composition(X0,X2))
| composition(X0,join(X1,X2)) != join(join(composition(X0,X1),composition(X0,X2)),composition(X0,join(X1,X2))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
( join(join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,sK2))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f23]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f24,f26]) ).
fof(f34,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f20,f26]) ).
fof(f35,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK2),join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(forward_demodulation,[],[f18,f26]) ).
fof(f36,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK2),join(composition(sK0,sK1),composition(sK0,join(sK1,sK2))))
| composition(sK0,join(sK1,sK2)) != join(join(composition(sK0,sK1),composition(sK0,sK2)),composition(sK0,join(sK1,sK2))) ),
inference(forward_demodulation,[],[f35,f26]) ).
fof(f37,plain,
( composition(sK0,join(sK1,sK2)) != join(composition(sK0,join(sK1,sK2)),join(composition(sK0,sK1),composition(sK0,sK2)))
| join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK2),join(composition(sK0,sK1),composition(sK0,join(sK1,sK2)))) ),
inference(forward_demodulation,[],[f36,f26]) ).
fof(f39,definition,
( spl3_1
<=> join(composition(sK0,sK1),composition(sK0,sK2)) = join(composition(sK0,sK2),join(composition(sK0,sK1),composition(sK0,join(sK1,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f40,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK2),join(composition(sK0,sK1),composition(sK0,join(sK1,sK2))))
| spl3_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,definition,
( spl3_2
<=> composition(sK0,join(sK1,sK2)) = join(composition(sK0,join(sK1,sK2)),join(composition(sK0,sK1),composition(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f43,plain,
( composition(sK0,join(sK1,sK2)) != join(composition(sK0,join(sK1,sK2)),join(composition(sK0,sK1),composition(sK0,sK2)))
| spl3_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f37,f42,f39]) ).
fof(f52,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f31]) ).
fof(f53,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f22,f27]) ).
fof(f67,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f74,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f34,f31]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),join(X3,X2)) = join(X3,join(X0,join(X1,X2))),
inference(superposition,[],[f67,f67]) ).
fof(f111,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK1),join(composition(sK0,join(sK1,sK2)),composition(sK0,sK2)))
| spl3_1 ),
inference(superposition,[],[f40,f67]) ).
fof(f112,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2))))
| spl3_1 ),
inference(forward_demodulation,[],[f111,f26]) ).
fof(f122,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,join(X1,X2))) = join(X0,join(X1,join(X3,X2))),
inference(forward_demodulation,[],[f81,f25]) ).
fof(f130,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f52,f28]) ).
fof(f140,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f130,f31]) ).
fof(f154,plain,
one = converse(one),
inference(superposition,[],[f28,f140]) ).
fof(f160,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f140,f154]) ).
fof(f191,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f53,f27]) ).
fof(f202,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f191,f21]) ).
fof(f211,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f202,f21]) ).
fof(f217,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f211,f27]) ).
fof(f237,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f31,f217]) ).
fof(f242,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f237,f31]) ).
fof(f285,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != join(composition(sK0,sK1),composition(sK0,join(sK2,join(sK1,sK2))))
| spl3_1 ),
inference(superposition,[],[f112,f242]) ).
fof(f289,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f25,f242]) ).
fof(f292,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != composition(sK0,join(sK1,join(sK2,join(sK1,sK2))))
| spl3_1 ),
inference(forward_demodulation,[],[f285,f242]) ).
fof(f299,plain,
( join(composition(sK0,sK1),composition(sK0,sK2)) != composition(sK0,join(sK1,join(sK1,join(sK2,sK2))))
| spl3_1 ),
inference(forward_demodulation,[],[f292,f122]) ).
fof(f303,plain,
( composition(sK0,join(sK1,sK2)) != composition(sK0,join(sK1,join(sK1,join(sK2,sK2))))
| spl3_1 ),
inference(forward_demodulation,[],[f299,f242]) ).
fof(f312,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f25,f19]) ).
fof(f316,plain,
zero = complement(top),
inference(superposition,[],[f32,f19]) ).
fof(f353,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f33,f26]) ).
fof(f362,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f33,f33]) ).
fof(f373,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,[],[f362,f26]) ).
fof(f379,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f373,f26]) ).
fof(f382,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,[],[f379,f25]) ).
fof(f452,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f312,f26]) ).
fof(f456,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f312,f19]) ).
fof(f649,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f74,f160]) ).
fof(f663,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f649,f140]) ).
fof(f674,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f312,f663]) ).
fof(f680,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f674,f19]) ).
fof(f789,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(composition(X1,complement(composition(converse(X1),X0)))),complement(complement(X0)))))),
inference(superposition,[],[f382,f74]) ).
fof(f793,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(complement(X0)))))),
inference(superposition,[],[f382,f663]) ).
fof(f824,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f793,f452]) ).
fof(f828,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(top,complement(composition(X1,complement(composition(converse(X1),X0))))))),
inference(forward_demodulation,[],[f789,f452]) ).
fof(f837,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f824,f456]) ).
fof(f838,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f828,f680]) ).
fof(f843,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f838,f316]) ).
fof(f848,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f843,f26]) ).
fof(f864,plain,
top = complement(zero),
inference(superposition,[],[f19,f848]) ).
fof(f1064,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(zero)))) = X0,
inference(superposition,[],[f353,f848]) ).
fof(f1107,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f1064,f864]) ).
fof(f1124,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1107,f837]) ).
fof(f1154,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f663,f1124]) ).
fof(f1176,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f25,f1154]) ).
fof(f1519,plain,
( composition(sK0,join(sK1,sK2)) != composition(sK0,join(sK1,join(sK2,sK2)))
| spl3_1 ),
inference(superposition,[],[f303,f1176]) ).
fof(f1520,plain,
( composition(sK0,join(sK1,sK2)) != composition(sK0,join(sK1,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f1519,f1154]) ).
fof(f1521,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f1520]) ).
fof(f1522,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1566,plain,
( composition(sK0,join(sK1,sK2)) != join(composition(sK0,sK2),join(composition(sK0,join(sK1,sK2)),composition(sK0,sK1)))
| spl3_2 ),
inference(forward_demodulation,[],[f43,f67]) ).
fof(f1567,plain,
( composition(sK0,join(sK1,sK2)) != join(composition(sK0,sK1),join(composition(sK0,sK2),composition(sK0,join(sK1,sK2))))
| spl3_2 ),
inference(forward_demodulation,[],[f1566,f67]) ).
fof(f1568,plain,
( composition(sK0,join(sK1,sK2)) != join(composition(sK0,join(sK1,sK2)),composition(sK0,join(sK1,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f1567,f289]) ).
fof(f1569,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f1568,f1154]) ).
fof(f1570,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f1569]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f1522]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f1570]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f1571,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL008+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.52 % Computer : n020.cluster.edu
% 0.13/0.52 % Model : x86_64 x86_64
% 0.13/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.52 % Memory : 8046.5625MB
% 0.13/0.52 % OS : Linux 6.8.0-71-generic
% 0.13/0.52 % CPULimit : 300
% 0.13/0.52 % WCLimit : 300
% 0.13/0.52 % DateTime : Sun Sep 27 22:51:21 UTC 2026
% 0.13/0.53 % CPUTime :
% 0.13/0.53 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.56 Running first-order theorem proving
% 0.17/0.56 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
% 10.41/2.59 % (3853781)Detected formulas, will run a generic FOF schedule.
% 10.41/2.59 % (3853836)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2243797678:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.41/2.59 % (3853838)dis-21_1_sil=8000:lcm=predicate:random_seed=3601972509: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)
% 10.41/2.59 % (3853838)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853838)------------------------------
% 10.41/2.59 % (3853838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853838)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853838)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853838)Time elapsed: 0.002 s
% 10.41/2.59 % (3853838)Peak memory usage: 88 MB
% 10.41/2.59 % (3853838)Instructions burned: 1 (million)
% 10.41/2.59 % (3853836)Instruction limit reached!
% 10.41/2.59 % (3853836)------------------------------
% 10.41/2.59 % (3853836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853836)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853836)Termination reason: Instruction limit
% 10.41/2.59 % (3853836)Termination phase: Saturation
% 10.41/2.59 % (3853836)Time elapsed: 0.050 s
% 10.41/2.59 % (3853836)Peak memory usage: 88 MB
% 10.41/2.59 % (3853836)Instructions burned: 120 (million)
% 10.41/2.59 % (3853833)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=3873079718:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.41/2.59 % (3853832)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=2469493013:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.41/2.59 % (3853831)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=3531354088:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.41/2.59 % (3853834)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=29211639:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.41/2.59 % (3853834)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853834)------------------------------
% 10.41/2.59 % (3853834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853834)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853834)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853834)Time elapsed: 0.003 s
% 10.41/2.59 % (3853834)Peak memory usage: 88 MB
% 10.41/2.59 % (3853834)Instructions burned: 1 (million)
% 10.41/2.59 % (3853837)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1486985071:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.41/2.59 % (3853837)Instruction limit reached!
% 10.41/2.59 % (3853837)------------------------------
% 10.41/2.59 % (3853837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853837)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853837)Termination reason: Instruction limit
% 10.41/2.59 % (3853837)Termination phase: Saturation
% 10.41/2.59 % (3853837)Time elapsed: 0.140 s
% 10.41/2.59 % (3853837)Peak memory usage: 90 MB
% 10.41/2.59 % (3853837)Instructions burned: 140 (million)
% 10.41/2.59 % (3853847)lrs+10_1_sil=8000:sp=occurrence:random_seed=2969241307:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.41/2.59 % (3853838)------------------------------
% 10.41/2.59 % (3853838)------------------------------
% 10.41/2.59 % (3853834)------------------------------
% 10.41/2.59 % (3853834)------------------------------
% 10.41/2.59 % (3853853)lrs+10_1_sil=32000:urr=on:br=off:random_seed=698002025:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.41/2.59 % (3853847)Instruction limit reached!
% 10.41/2.59 % (3853847)------------------------------
% 10.41/2.59 % (3853847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853847)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853847)Termination reason: Instruction limit
% 10.41/2.59 % (3853847)Termination phase: Saturation
% 10.41/2.59 % (3853847)Time elapsed: 0.237 s
% 10.41/2.59 % (3853847)Peak memory usage: 91 MB
% 10.41/2.59 % (3853847)Instructions burned: 287 (million)
% 10.41/2.59 % (3853853)Instruction limit reached!
% 10.41/2.59 % (3853853)------------------------------
% 10.41/2.59 % (3853853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853853)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853853)Termination reason: Instruction limit
% 10.41/2.59 % (3853853)Termination phase: Saturation
% 10.41/2.59 % (3853853)Time elapsed: 0.063 s
% 10.41/2.59 % (3853853)Peak memory usage: 89 MB
% 10.41/2.59 % (3853853)Instructions burned: 158 (million)
% 10.41/2.59 % (3853855)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3869836013:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.41/2.59 % (3853860)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=967787317:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.41/2.59 % (3853864)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1518175787:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.41/2.59 % (3853864)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853864)------------------------------
% 10.41/2.59 % (3853864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853864)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853864)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853864)Time elapsed: 0.002 s
% 10.41/2.59 % (3853864)Peak memory usage: 88 MB
% 10.41/2.59 % (3853864)Instructions burned: 1 (million)
% 10.41/2.59 % (3853865)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4188227246:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.41/2.59 % (3853864)------------------------------
% 10.41/2.59 % (3853864)------------------------------
% 10.41/2.59 % (3853855)Instruction limit reached!
% 10.41/2.59 % (3853855)------------------------------
% 10.41/2.59 % (3853855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853855)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853855)Termination reason: Instruction limit
% 10.41/2.59 % (3853855)Termination phase: Saturation
% 10.41/2.59 % (3853855)Time elapsed: 0.326 s
% 10.41/2.59 % (3853855)Peak memory usage: 92 MB
% 10.41/2.59 % (3853855)Instructions burned: 326 (million)
% 10.41/2.59 % (3853860)Instruction limit reached!
% 10.41/2.59 % (3853860)------------------------------
% 10.41/2.59 % (3853860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853860)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853860)Termination reason: Instruction limit
% 10.41/2.59 % (3853860)Termination phase: Saturation
% 10.41/2.59 % (3853860)Time elapsed: 0.246 s
% 10.41/2.59 % (3853860)Peak memory usage: 92 MB
% 10.41/2.59 % (3853860)Instructions burned: 251 (million)
% 10.41/2.59 % (3853833)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853833)------------------------------
% 10.41/2.59 % (3853833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853833)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853833)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853833)Time elapsed: 0.947 s
% 10.41/2.59 % (3853833)Peak memory usage: 127 MB
% 10.41/2.59 % (3853833)Instructions burned: 890 (million)
% 10.41/2.59 % (3853873)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1458664474:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 10.41/2.59 % (3853873)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853873)------------------------------
% 10.41/2.59 % (3853873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853873)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853873)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853873)Time elapsed: 0.001 s
% 10.41/2.59 % (3853873)Peak memory usage: 88 MB
% 10.41/2.59 % (3853872)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=600083973:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 10.41/2.59 % (3853872)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853872)------------------------------
% 10.41/2.59 % (3853872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853872)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853872)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853872)Time elapsed: 0.002 s
% 10.41/2.59 % (3853872)Peak memory usage: 88 MB
% 10.41/2.59 % (3853872)Instructions burned: 1 (million)
% 10.41/2.59 % (3853832)First to succeed.
% 10.41/2.59 % (3853874)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1701182290:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 10.41/2.59 % (3853832)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3853781"
% 10.41/2.59 % (3853874)Instruction limit reached!
% 10.41/2.59 % (3853874)------------------------------
% 10.41/2.59 % (3853874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853874)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853874)Termination reason: Instruction limit
% 10.41/2.59 % (3853874)Termination phase: Saturation
% 10.41/2.59 % (3853874)Time elapsed: 0.067 s
% 10.41/2.59 % (3853874)Peak memory usage: 89 MB
% 10.41/2.59 % (3853874)Instructions burned: 115 (million)
% 10.41/2.59 % (3853873)------------------------------
% 10.41/2.59 % (3853873)------------------------------
% 10.41/2.59 % (3853833)------------------------------
% 10.41/2.59 % (3853833)------------------------------
% 10.41/2.59 % (3853885)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3157175170:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 10.41/2.59 % (3853885)Refutation not found, incomplete strategy
% 10.41/2.59 % (3853885)------------------------------
% 10.41/2.59 % (3853885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.59 % (3853885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.59 % (3853885)CaDiCaL version: 2.1.3
% 10.41/2.59 % (3853885)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.59 % (3853885)Time elapsed: 0.001 s
% 10.41/2.59 % (3853885)Peak memory usage: 88 MB
% 10.41/2.59 % (3853885)Instructions burned: 1 (million)
% 10.41/2.59 % (3853884)lrs+10_1_sil=8000:sp=occurrence:random_seed=258858007:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 10.41/2.59 % (3853831)Also succeeded, but the first one will report.
% 10.41/2.59 % (3853872)------------------------------
% 10.41/2.59 % (3853872)------------------------------
% 10.41/2.59 % (3853832)Refutation found. Thanks to Tanya!
% 10.41/2.59 % SZS status Theorem for theBenchmark
% 10.41/2.59 % SZS output start Proof for theBenchmark
% See solution above
% 11.75/2.79 % (3853832)------------------------------
% 11.75/2.79 % (3853832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/2.79 % (3853832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.79 % (3853832)CaDiCaL version: 2.1.3
% 11.75/2.79 % (3853832)Termination reason: Refutation
% 11.75/2.79 % (3853832)Time elapsed: 1.055 s
% 11.75/2.79 % (3853832)Peak memory usage: 131 MB
% 11.75/2.79 % (3853832)Instructions burned: 1168 (million)
% 11.75/2.79 % (3853832)------------------------------
% 11.75/2.79 % (3853832)------------------------------
% 11.75/2.79 % (3853781)Success in time 1.584 s
% 11.75/2.79 % Vampire exiting
%------------------------------------------------------------------------------