%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL042+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 : n007.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 12:34:05 PM UTC 2026
% Result : Theorem 13.53s 2.85s
% Output : Refutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 13
% Syntax : Number of formulae : 116 ( 112 unt; 0 def)
% Number of atoms : 120 ( 119 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 183 ( 182 !; 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(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(f17,conjecture,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( one != join(composition(converse(X0),X0),one)
& ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( one != join(composition(converse(sK0),sK0),one)
& ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
one != join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X1] : zero = complement(join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))),
inference(definition_unfolding,[],[f21,f28]) ).
fof(f40,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f25,f28]) ).
fof(f44,plain,
zero = complement(top),
inference(forward_demodulation,[],[f40,f26]) ).
fof(f45,plain,
one != join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f22,f24]) ).
fof(f59,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f37,f38]) ).
fof(f72,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f29,f24]) ).
fof(f74,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f29,f24]) ).
fof(f78,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f72,f24]) ).
fof(f149,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f33,f38]) ).
fof(f152,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f34,f33]) ).
fof(f157,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f149,f35]) ).
fof(f166,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f157,f38]) ).
fof(f177,plain,
one = converse(one),
inference(superposition,[],[f35,f166]) ).
fof(f181,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f166,f177]) ).
fof(f199,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f23,f29]) ).
fof(f206,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f24,f23]) ).
fof(f207,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f199,f206]) ).
fof(f248,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f59,f26]) ).
fof(f267,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f27,f166]) ).
fof(f278,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f267,f24]) ).
fof(f289,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f278,f181]) ).
fof(f406,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f207,f29]) ).
fof(f408,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,[],[f207,f289]) ).
fof(f416,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f408,f74]) ).
fof(f417,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f406,f24]) ).
fof(f436,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f417,f416]) ).
fof(f478,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f416,f26]) ).
fof(f479,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f416,f416]) ).
fof(f502,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f478,f44]) ).
fof(f521,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f436,f207]) ).
fof(f523,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f436,f24]) ).
fof(f548,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f521,f23]) ).
fof(f611,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f436,f248]) ).
fof(f678,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f78,f26]) ).
fof(f707,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f678,f24]) ).
fof(f739,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f707,f24]) ).
fof(f753,plain,
! [X0] : complement(X0) = join(complement(top),complement(X0)),
inference(forward_demodulation,[],[f739,f479]) ).
fof(f762,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f753,f44]) ).
fof(f783,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f24,f502]) ).
fof(f787,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(zero))))),
inference(superposition,[],[f207,f502]) ).
fof(f796,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f787,f548]) ).
fof(f829,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f24,f796]) ).
fof(f837,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f502,f796]) ).
fof(f838,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f837,f502]) ).
fof(f882,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f78,f838]) ).
fof(f1290,plain,
! [X0] : top = join(top,complement(join(X0,zero))),
inference(superposition,[],[f523,f44]) ).
fof(f1363,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1290,f502]) ).
fof(f1378,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1363,f838]) ).
fof(f1406,plain,
top = converse(top),
inference(superposition,[],[f248,f1378]) ).
fof(f1487,plain,
! [X0] : join(zero,complement(join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0))))) = complement(complement(composition(sK0,X0))),
inference(superposition,[],[f882,f39]) ).
fof(f1524,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f78,f882]) ).
fof(f1551,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1524,f829]) ).
fof(f1582,plain,
! [X0] : composition(sK0,X0) = join(zero,complement(join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0))))),
inference(forward_demodulation,[],[f1487,f838]) ).
fof(f1607,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1551,f24]) ).
fof(f1632,plain,
! [X0] : composition(sK0,X0) = complement(join(complement(complement(composition(sK0,complement(X0)))),complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f1582,f762]) ).
fof(f1652,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1607,f23]) ).
fof(f1671,plain,
! [X0] : composition(sK0,X0) = complement(join(composition(sK0,complement(X0)),complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f1632,f796]) ).
fof(f1684,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1652,f436]) ).
fof(f1701,plain,
! [X0] : composition(sK0,X0) = complement(join(complement(composition(sK0,X0)),composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f1671,f24]) ).
fof(f1911,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),composition(sK0,X0))),composition(sK0,X0)),
inference(superposition,[],[f882,f1701]) ).
fof(f1964,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(join(composition(sK0,complement(X0)),composition(sK0,X0)))),
inference(forward_demodulation,[],[f1911,f24]) ).
fof(f1984,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(join(composition(sK0,X0),composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f1964,f24]) ).
fof(f1993,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(forward_demodulation,[],[f1984,f1684]) ).
fof(f1996,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f1993,f24]) ).
fof(f5039,plain,
! [X0] : complement(converse(top)) = composition(converse(X0),complement(composition(X0,converse(top)))),
inference(superposition,[],[f27,f611]) ).
fof(f5048,plain,
! [X0] : complement(top) = composition(converse(X0),complement(composition(X0,top))),
inference(forward_demodulation,[],[f5039,f1406]) ).
fof(f5084,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(forward_demodulation,[],[f5048,f44]) ).
fof(f7541,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f152,f33]) ).
fof(f7568,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f7541,f37]) ).
fof(f7586,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f7568,f37]) ).
fof(f7596,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f7586,f33]) ).
fof(f7626,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f38,f7596]) ).
fof(f7643,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f7626,f38]) ).
fof(f7712,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1684,f7643]) ).
fof(f13336,plain,
! [X0,X1] : join(composition(converse(X0),X1),zero) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(superposition,[],[f7643,f5084]) ).
fof(f13349,plain,
! [X0,X1] : join(zero,composition(converse(X0),X1)) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f13336,f24]) ).
fof(f13382,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f13349,f783]) ).
fof(f19478,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f7712,f26]) ).
fof(f19678,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f19478,f24]) ).
fof(f19881,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,top))),
inference(superposition,[],[f1996,f19678]) ).
fof(f20083,plain,
! [X0] : composition(converse(sK0),composition(sK0,X0)) = composition(converse(sK0),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f13382,f19881]) ).
fof(f20273,plain,
! [X0] : complement(complement(X0)) = join(composition(converse(sK0),composition(sK0,X0)),complement(complement(X0))),
inference(superposition,[],[f27,f20083]) ).
fof(f20327,plain,
! [X0] : complement(complement(X0)) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f20273,f829]) ).
fof(f20356,plain,
! [X0] : join(X0,composition(converse(sK0),composition(sK0,X0))) = X0,
inference(forward_demodulation,[],[f20327,f838]) ).
fof(f20389,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(superposition,[],[f20356,f35]) ).
fof(f20485,plain,
$false,
inference(forward_subsumption_resolution,[],[f20389,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL042+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 22:54:25 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 12.05/2.62 % (1866701)Detected formulas, will run a generic FOF schedule.
% 12.05/2.62 % (1866711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1004252520:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.05/2.62 % (1866710)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3851302558:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.05/2.62 % (1866706)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=3389072390:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.05/2.62 % (1866707)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=3390577191:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.05/2.62 % (1866712)dis-21_1_sil=8000:lcm=predicate:random_seed=2313615894: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)
% 12.05/2.62 % (1866708)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=487619865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.05/2.62 % (1866709)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1583634845:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.05/2.62 % (1866712)Refutation not found, incomplete strategy
% 12.05/2.62 % (1866712)------------------------------
% 12.05/2.62 % (1866712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.05/2.62 % (1866712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.62 % (1866712)CaDiCaL version: 2.1.3
% 12.05/2.62 % (1866712)Termination reason: Refutation not found, incomplete strategy
% 12.05/2.62 % (1866712)Time elapsed: 0.002 s
% 12.05/2.62 % (1866712)Peak memory usage: 88 MB
% 12.05/2.62 % (1866712)Instructions burned: 1 (million)
% 12.05/2.62 % (1866711)Instruction limit reached!
% 12.05/2.62 % (1866711)------------------------------
% 12.05/2.62 % (1866711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.05/2.62 % (1866711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.62 % (1866711)CaDiCaL version: 2.1.3
% 12.05/2.62 % (1866711)Termination reason: Instruction limit
% 12.05/2.62 % (1866711)Termination phase: Saturation
% 12.05/2.62 % (1866711)Time elapsed: 0.046 s
% 12.05/2.62 % (1866711)Peak memory usage: 90 MB
% 12.05/2.62 % (1866711)Instructions burned: 142 (million)
% 12.05/2.62 % (1866709)Instruction limit reached!
% 12.05/2.62 % (1866709)------------------------------
% 12.05/2.62 % (1866709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.05/2.62 % (1866709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.62 % (1866709)CaDiCaL version: 2.1.3
% 12.05/2.62 % (1866709)Termination reason: Instruction limit
% 12.05/2.62 % (1866709)Termination phase: Saturation
% 12.05/2.62 % (1866709)Time elapsed: 0.063 s
% 12.05/2.62 % (1866709)Peak memory usage: 89 MB
% 12.05/2.62 % (1866709)Instructions burned: 110 (million)
% 12.05/2.62 % (1866710)Instruction limit reached!
% 12.05/2.62 % (1866710)------------------------------
% 12.05/2.62 % (1866710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.05/2.62 % (1866710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.62 % (1866710)CaDiCaL version: 2.1.3
% 12.05/2.62 % (1866710)Termination reason: Instruction limit
% 12.05/2.62 % (1866710)Termination phase: Saturation
% 12.05/2.62 % (1866710)Time elapsed: 0.065 s
% 12.05/2.62 % (1866710)Peak memory usage: 89 MB
% 12.05/2.62 % (1866710)Instructions burned: 120 (million)
% 12.05/2.62 % (1866720)lrs+10_1_sil=8000:sp=occurrence:random_seed=925383230:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.05/2.62 % (1866720)Instruction limit reached!
% 12.05/2.62 % (1866720)------------------------------
% 12.05/2.62 % (1866720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.05/2.62 % (1866720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.62 % (1866720)CaDiCaL version: 2.1.3
% 12.05/2.62 % (1866720)Termination reason: Instruction limit
% 12.05/2.62 % (1866720)Termination phase: Saturation
% 12.05/2.62 % (1866720)Time elapsed: 0.091 s
% 12.05/2.62 % (1866720)Peak memory usage: 91 MB
% 12.05/2.62 % (1866720)Instructions burned: 286 (million)
% 13.53/2.85 % (1866722)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2876615955:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.53/2.85 % (1866721)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2393765938:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.53/2.85 % (1866712)------------------------------
% 13.53/2.85 % (1866712)------------------------------
% 13.53/2.85 % (1866721)Instruction limit reached!
% 13.53/2.85 % (1866721)------------------------------
% 13.53/2.85 % (1866721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866721)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866721)Termination reason: Instruction limit
% 13.53/2.85 % (1866721)Termination phase: Saturation
% 13.53/2.85 % (1866721)Time elapsed: 0.096 s
% 13.53/2.85 % (1866721)Peak memory usage: 90 MB
% 13.53/2.85 % (1866721)Instructions burned: 157 (million)
% 13.53/2.85 % (1866724)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=4007772171:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.53/2.85 % (1866727)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=700303557:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.53/2.85 % (1866724)Instruction limit reached!
% 13.53/2.85 % (1866724)------------------------------
% 13.53/2.85 % (1866724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866724)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866724)Termination reason: Instruction limit
% 13.53/2.85 % (1866724)Termination phase: Saturation
% 13.53/2.85 % (1866724)Time elapsed: 0.086 s
% 13.53/2.85 % (1866724)Peak memory usage: 92 MB
% 13.53/2.85 % (1866724)Instructions burned: 250 (million)
% 13.53/2.85 % (1866722)Instruction limit reached!
% 13.53/2.85 % (1866722)------------------------------
% 13.53/2.85 % (1866722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866722)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866722)Termination reason: Instruction limit
% 13.53/2.85 % (1866722)Termination phase: Saturation
% 13.53/2.85 % (1866722)Time elapsed: 0.192 s
% 13.53/2.85 % (1866722)Peak memory usage: 92 MB
% 13.53/2.85 % (1866722)Instructions burned: 325 (million)
% 13.53/2.85 % (1866728)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2812640668:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 13.53/2.85 % (1866731)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2367933897:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 13.53/2.85 % (1866731)Instruction limit reached!
% 13.53/2.85 % (1866731)------------------------------
% 13.53/2.85 % (1866731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866731)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866731)Termination reason: Instruction limit
% 13.53/2.85 % (1866731)Termination phase: Saturation
% 13.53/2.85 % (1866731)Time elapsed: 0.037 s
% 13.53/2.85 % (1866731)Peak memory usage: 90 MB
% 13.53/2.85 % (1866731)Instructions burned: 114 (million)
% 13.53/2.85 % (1866727)Instruction limit reached!
% 13.53/2.85 % (1866727)------------------------------
% 13.53/2.85 % (1866727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866727)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866727)Termination reason: Instruction limit
% 13.53/2.85 % (1866727)Termination phase: Saturation
% 13.53/2.85 % (1866727)Time elapsed: 0.169 s
% 13.53/2.85 % (1866727)Peak memory usage: 91 MB
% 13.53/2.85 % (1866727)Instructions burned: 295 (million)
% 13.53/2.85 % (1866732)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=194136525:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 13.53/2.85 % (1866732)Refutation not found, incomplete strategy
% 13.53/2.85 % (1866732)------------------------------
% 13.53/2.85 % (1866732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866732)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866732)Termination reason: Refutation not found, incomplete strategy
% 13.53/2.85 % (1866732)Time elapsed: 0.001 s
% 13.53/2.85 % (1866732)Peak memory usage: 87 MB
% 13.53/2.85 % (1866732)Instructions burned: 1 (million)
% 13.53/2.85 % (1866735)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1821887920:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.53/2.85 % (1866735)Instruction limit reached!
% 13.53/2.85 % (1866735)------------------------------
% 13.53/2.85 % (1866735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866735)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866735)Termination reason: Instruction limit
% 13.53/2.85 % (1866735)Termination phase: Saturation
% 13.53/2.85 % (1866735)Time elapsed: 0.036 s
% 13.53/2.85 % (1866735)Peak memory usage: 89 MB
% 13.53/2.85 % (1866735)Instructions burned: 117 (million)
% 13.53/2.85 % (1866736)lrs+10_1_sil=8000:sp=occurrence:random_seed=1357706059:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 13.53/2.85 % (1866732)------------------------------
% 13.53/2.85 % (1866732)------------------------------
% 13.53/2.85 % (1866740)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2062134722:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.53/2.85 % (1866740)Instruction limit reached!
% 13.53/2.85 % (1866740)------------------------------
% 13.53/2.85 % (1866740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866740)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866740)Termination reason: Instruction limit
% 13.53/2.85 % (1866740)Termination phase: Saturation
% 13.53/2.85 % (1866740)Time elapsed: 0.118 s
% 13.53/2.85 % (1866740)Peak memory usage: 92 MB
% 13.53/2.85 % (1866740)Instructions burned: 441 (million)
% 13.53/2.85 % (1866741)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1245538500:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.53/2.85 % (1866743)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=946531828:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.53/2.85 % (1866743)Refutation not found, incomplete strategy
% 13.53/2.85 % (1866743)------------------------------
% 13.53/2.85 % (1866743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866743)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866743)Termination reason: Refutation not found, incomplete strategy
% 13.53/2.85 % (1866743)Time elapsed: 0.001 s
% 13.53/2.85 % (1866743)Peak memory usage: 89 MB
% 13.53/2.85 % (1866743)Instructions burned: 2 (million)
% 13.53/2.85 % (1866743)------------------------------
% 13.53/2.85 % (1866743)------------------------------
% 13.53/2.85 % (1866736)Instruction limit reached!
% 13.53/2.85 % (1866736)------------------------------
% 13.53/2.85 % (1866736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866736)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866736)Termination reason: Instruction limit
% 13.53/2.85 % (1866736)Termination phase: Saturation
% 13.53/2.85 % (1866736)Time elapsed: 0.524 s
% 13.53/2.85 % (1866736)Peak memory usage: 97 MB
% 13.53/2.85 % (1866736)Instructions burned: 907 (million)
% 13.53/2.85 % (1866746)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1044497106:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 13.53/2.85 % (1866747)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2607797460:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 13.53/2.85 % (1866707)First to succeed.
% 13.53/2.85 % (1866707)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1866701"
% 13.53/2.85 % (1866746)Instruction limit reached!
% 13.53/2.85 % (1866746)------------------------------
% 13.53/2.85 % (1866746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866746)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866746)Termination reason: Instruction limit
% 13.53/2.85 % (1866746)Termination phase: Saturation
% 13.53/2.85 % (1866746)Time elapsed: 0.190 s
% 13.53/2.85 % (1866746)Peak memory usage: 95 MB
% 13.53/2.85 % (1866746)Instructions burned: 594 (million)
% 13.53/2.85 % (1866750)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=3873532367:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 13.53/2.85 % (1866750)Instruction limit reached!
% 13.53/2.85 % (1866750)------------------------------
% 13.53/2.85 % (1866750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.85 % (1866750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.85 % (1866750)CaDiCaL version: 2.1.3
% 13.53/2.85 % (1866750)Termination reason: Instruction limit
% 13.53/2.85 % (1866750)Termination phase: Saturation
% 13.53/2.85 % (1866750)Time elapsed: 0.043 s
% 13.53/2.85 % (1866750)Peak memory usage: 91 MB
% 13.53/2.85 % (1866750)Instructions burned: 127 (million)
% 13.53/2.85 % (1866707)Refutation found. Thanks to Tanya!
% 13.53/2.85 % SZS status Theorem for theBenchmark
% 13.53/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 14.55/3.05 % (1866707)------------------------------
% 14.55/3.05 % (1866707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.55/3.05 % (1866707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/3.05 % (1866707)CaDiCaL version: 2.1.3
% 14.55/3.05 % (1866707)Termination reason: Refutation
% 14.55/3.05 % (1866707)Time elapsed: 1.532 s
% 14.55/3.05 % (1866707)Peak memory usage: 141 MB
% 14.55/3.05 % (1866707)Instructions burned: 2425 (million)
% 14.55/3.05 % (1866707)------------------------------
% 14.55/3.05 % (1866707)------------------------------
% 14.55/3.05 % (1866701)Success in time 1.967 s
% 14.55/3.05 % Vampire exiting
%------------------------------------------------------------------------------