%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:33:42 PM UTC 2026
% Result : Theorem 13.38s 3.48s
% Output : Refutation 15.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of formulae : 110 ( 106 unt; 0 def)
% Number of atoms : 114 ( 113 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 169 ( 166 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& meet(X0,composition(converse(X1),X2)) = zero ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
zero = meet(sK0,composition(converse(sK1),sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
zero != meet(composition(sK1,sK0),sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
zero != complement(join(complement(composition(sK1,sK0)),complement(sK2))),
inference(definition_unfolding,[],[f22,f27]) ).
fof(f40,plain,
zero = complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))),
inference(definition_unfolding,[],[f21,f27]) ).
fof(f42,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f24,f27,f27,f27,f27,f27]) ).
fof(f44,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f26,f27]) ).
fof(f45,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f28,f36]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[],[f44,f37]) ).
fof(f47,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(forward_demodulation,[],[f42,f36]) ).
fof(f49,plain,
zero != complement(join(complement(sK2),complement(composition(sK1,sK0)))),
inference(forward_demodulation,[],[f39,f36]) ).
fof(f81,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f38,f36]) ).
fof(f82,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f38,f36]) ).
fof(f85,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f81,f36]) ).
fof(f119,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f34]) ).
fof(f140,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f119,f31]) ).
fof(f145,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f140,f34]) ).
fof(f151,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f30,f145]) ).
fof(f152,plain,
one = converse(one),
inference(superposition,[],[f31,f145]) ).
fof(f153,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f151,f152]) ).
fof(f156,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f145,f152]) ).
fof(f162,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f33,f152]) ).
fof(f167,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f45,f46]) ).
fof(f175,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f45,f145]) ).
fof(f179,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f175,f156]) ).
fof(f227,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f35,f37]) ).
fof(f229,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f35,f38]) ).
fof(f240,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f243,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f229,f240]) ).
fof(f270,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f243,f38]) ).
fof(f272,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,[],[f243,f179]) ).
fof(f278,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f272,f82]) ).
fof(f279,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f270,f36]) ).
fof(f295,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f279,f278]) ).
fof(f324,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f295,f243]) ).
fof(f326,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f295,f36]) ).
fof(f327,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f295,f37]) ).
fof(f346,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f327,f46]) ).
fof(f347,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f324,f35]) ).
fof(f362,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f36,f346]) ).
fof(f365,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(zero))))),
inference(superposition,[],[f243,f346]) ).
fof(f369,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f365,f347]) ).
fof(f370,plain,
! [X0] : join(top,X0) = join(complement(zero),X0),
inference(superposition,[],[f369,f46]) ).
fof(f394,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f346,f369]) ).
fof(f395,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f394,f346]) ).
fof(f456,plain,
top = complement(zero),
inference(superposition,[],[f395,f46]) ).
fof(f483,plain,
! [X0] : zero = join(zero,complement(join(top,X0))),
inference(superposition,[],[f295,f456]) ).
fof(f489,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f483,f362]) ).
fof(f559,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f243,f326]) ).
fof(f579,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f559,f36]) ).
fof(f598,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f579,f369]) ).
fof(f861,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f85,f395]) ).
fof(f1040,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f598,f36]) ).
fof(f1193,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(complement(join(X0,X1))),X1),
inference(superposition,[],[f1040,f598]) ).
fof(f1276,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(join(X0,X1),X1),
inference(forward_demodulation,[],[f1193,f369]) ).
fof(f1302,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f1276,f36]) ).
fof(f1324,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f1302,f579]) ).
fof(f4037,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f861,f227]) ).
fof(f4050,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f4037,f36]) ).
fof(f4112,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(complement(complement(X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f4050,f35]) ).
fof(f4148,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f4112,f369]) ).
fof(f4173,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f4148,f1324]) ).
fof(f4186,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f4173,f489]) ).
fof(f4192,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X1)),X0)),
inference(forward_demodulation,[],[f4186,f362]) ).
fof(f4195,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f4192,f369]) ).
fof(f4892,plain,
complement(join(complement(sK2),complement(composition(sK1,zero)))) = join(complement(join(complement(composition(sK1,sK0)),complement(sK2))),complement(join(complement(sK2),complement(composition(sK1,zero))))),
inference(superposition,[],[f47,f40]) ).
fof(f4955,plain,
complement(join(complement(sK2),complement(composition(sK1,zero)))) = join(complement(join(complement(sK2),complement(composition(sK1,zero)))),complement(join(complement(composition(sK1,sK0)),complement(sK2)))),
inference(forward_demodulation,[],[f4892,f36]) ).
fof(f5005,plain,
complement(join(complement(sK2),complement(composition(sK1,zero)))) = join(complement(join(complement(sK2),complement(composition(sK1,zero)))),complement(join(complement(sK2),complement(composition(sK1,sK0))))),
inference(forward_demodulation,[],[f4955,f4195]) ).
fof(f6703,plain,
! [X0] : zero = join(zero,composition(converse(join(one,X0)),complement(join(top,composition(X0,top))))),
inference(superposition,[],[f167,f153]) ).
fof(f6732,plain,
! [X0] : zero = composition(converse(join(one,X0)),complement(join(top,composition(X0,top)))),
inference(forward_demodulation,[],[f6703,f362]) ).
fof(f6747,plain,
! [X0] : zero = composition(converse(join(one,X0)),zero),
inference(forward_demodulation,[],[f6732,f489]) ).
fof(f6753,plain,
! [X0] : zero = composition(join(one,converse(X0)),zero),
inference(forward_demodulation,[],[f6747,f162]) ).
fof(f6756,plain,
! [X0] : zero = join(zero,composition(converse(X0),zero)),
inference(forward_demodulation,[],[f6753,f153]) ).
fof(f6757,plain,
! [X0] : zero = composition(converse(X0),zero),
inference(forward_demodulation,[],[f6756,f362]) ).
fof(f6762,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f6757,f34]) ).
fof(f8975,plain,
complement(join(complement(sK2),complement(zero))) = join(complement(join(complement(sK2),complement(zero))),complement(join(complement(sK2),complement(composition(sK1,sK0))))),
inference(superposition,[],[f5005,f6762]) ).
fof(f8976,plain,
complement(join(complement(zero),complement(sK2))) = join(complement(join(complement(zero),complement(sK2))),complement(join(complement(sK2),complement(composition(sK1,sK0))))),
inference(forward_demodulation,[],[f8975,f4195]) ).
fof(f8999,plain,
complement(join(top,complement(sK2))) = join(complement(join(top,complement(sK2))),complement(join(complement(sK2),complement(composition(sK1,sK0))))),
inference(forward_demodulation,[],[f8976,f370]) ).
fof(f9013,plain,
zero = join(zero,complement(join(complement(sK2),complement(composition(sK1,sK0))))),
inference(forward_demodulation,[],[f8999,f489]) ).
fof(f9021,plain,
zero = complement(join(complement(sK2),complement(composition(sK1,sK0)))),
inference(forward_demodulation,[],[f9013,f362]) ).
fof(f9024,plain,
$false,
inference(forward_subsumption_resolution,[],[f9021,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.62 % Computer : n018.cluster.edu
% 0.16/0.62 % Model : x86_64 x86_64
% 0.16/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.62 % Memory : 8046.5625MB
% 0.16/0.62 % OS : Linux 6.8.0-71-generic
% 0.16/0.62 % CPULimit : 300
% 0.16/0.62 % WCLimit : 300
% 0.16/0.62 % DateTime : Sun Sep 27 22:53:26 UTC 2026
% 0.16/0.62 % CPUTime :
% 0.16/0.63 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.69 Running first-order theorem proving
% 0.19/0.69 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.38/3.48 % (2818545)Detected formulas, will run a generic FOF schedule.
% 13.38/3.48 % (2818556)dis-21_1_sil=8000:lcm=predicate:random_seed=3628596649: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)
% 13.38/3.48 % (2818556)Refutation not found, incomplete strategy
% 13.38/3.48 % (2818556)------------------------------
% 13.38/3.48 % (2818556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818556)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818556)Termination reason: Refutation not found, incomplete strategy
% 13.38/3.48 % (2818556)Time elapsed: 0.002 s
% 13.38/3.48 % (2818556)Peak memory usage: 88 MB
% 13.38/3.48 % (2818556)Instructions burned: 1 (million)
% 13.38/3.48 % (2818550)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=1569281638:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.38/3.48 % (2818551)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=290799803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.38/3.48 % (2818554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3578179939:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.38/3.48 % (2818552)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=4104774638:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.38/3.48 % (2818553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=229612037:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.38/3.48 % (2818555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=958570717:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.38/3.48 % (2818553)Instruction limit reached!
% 13.38/3.48 % (2818553)------------------------------
% 13.38/3.48 % (2818553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818553)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818553)Termination reason: Instruction limit
% 13.38/3.48 % (2818553)Termination phase: Saturation
% 13.38/3.48 % (2818553)Time elapsed: 0.108 s
% 13.38/3.48 % (2818553)Peak memory usage: 89 MB
% 13.38/3.48 % (2818553)Instructions burned: 110 (million)
% 13.38/3.48 % (2818554)Instruction limit reached!
% 13.38/3.48 % (2818554)------------------------------
% 13.38/3.48 % (2818554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818554)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818554)Termination reason: Instruction limit
% 13.38/3.48 % (2818554)Termination phase: Saturation
% 13.38/3.48 % (2818554)Time elapsed: 0.117 s
% 13.38/3.48 % (2818554)Peak memory usage: 89 MB
% 13.38/3.48 % (2818554)Instructions burned: 119 (million)
% 13.38/3.48 % (2818555)Instruction limit reached!
% 13.38/3.48 % (2818555)------------------------------
% 13.38/3.48 % (2818555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818555)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818555)Termination reason: Instruction limit
% 13.38/3.48 % (2818555)Termination phase: Saturation
% 13.38/3.48 % (2818555)Time elapsed: 0.146 s
% 13.38/3.48 % (2818555)Peak memory usage: 90 MB
% 13.38/3.48 % (2818555)Instructions burned: 139 (million)
% 13.38/3.48 % (2818556)------------------------------
% 13.38/3.48 % (2818556)------------------------------
% 13.38/3.48 % (2818564)lrs+10_1_sil=8000:sp=occurrence:random_seed=2029871447:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 13.38/3.48 % (2818565)lrs+10_1_sil=32000:urr=on:br=off:random_seed=894063211:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.38/3.48 % (2818567)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=507539444:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.38/3.48 % (2818566)lrs+1011_1_sil=32000:sp=occurrence:random_seed=870457886:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.38/3.48 % (2818567)Instruction limit reached!
% 13.38/3.48 % (2818567)------------------------------
% 13.38/3.48 % (2818567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818567)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818567)Termination reason: Instruction limit
% 13.38/3.48 % (2818567)Termination phase: Saturation
% 13.38/3.48 % (2818567)Time elapsed: 0.130 s
% 13.38/3.48 % (2818567)Peak memory usage: 92 MB
% 13.38/3.48 % (2818567)Instructions burned: 250 (million)
% 13.38/3.48 % (2818565)Instruction limit reached!
% 13.38/3.48 % (2818565)------------------------------
% 13.38/3.48 % (2818565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818565)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818565)Termination reason: Instruction limit
% 13.38/3.48 % (2818565)Termination phase: Saturation
% 13.38/3.48 % (2818565)Time elapsed: 0.155 s
% 13.38/3.48 % (2818565)Peak memory usage: 91 MB
% 13.38/3.48 % (2818565)Instructions burned: 157 (million)
% 13.38/3.48 % (2818564)Instruction limit reached!
% 13.38/3.48 % (2818564)------------------------------
% 13.38/3.48 % (2818564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818564)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818564)Termination reason: Instruction limit
% 13.38/3.48 % (2818564)Termination phase: Saturation
% 13.38/3.48 % (2818564)Time elapsed: 0.283 s
% 13.38/3.48 % (2818564)Peak memory usage: 91 MB
% 13.38/3.48 % (2818564)Instructions burned: 286 (million)
% 13.38/3.48 % (2818573)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2950468685:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.38/3.48 % (2818566)Instruction limit reached!
% 13.38/3.48 % (2818566)------------------------------
% 13.38/3.48 % (2818566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818566)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818566)Termination reason: Instruction limit
% 13.38/3.48 % (2818566)Termination phase: Saturation
% 13.38/3.48 % (2818566)Time elapsed: 0.327 s
% 13.38/3.48 % (2818566)Peak memory usage: 92 MB
% 13.38/3.48 % (2818566)Instructions burned: 325 (million)
% 13.38/3.48 % (2818572)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3316802368:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 13.38/3.48 % (2818574)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1189674489:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 13.38/3.48 % (2818552)Refutation not found, incomplete strategy
% 13.38/3.48 % (2818552)------------------------------
% 13.38/3.48 % (2818552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818552)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818552)Termination reason: Refutation not found, incomplete strategy
% 13.38/3.48 % (2818552)Time elapsed: 1.004 s
% 13.38/3.48 % (2818552)Peak memory usage: 127 MB
% 13.38/3.48 % (2818552)Instructions burned: 899 (million)
% 13.38/3.48 % (2818574)Instruction limit reached!
% 13.38/3.48 % (2818574)------------------------------
% 13.38/3.48 % (2818574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818574)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818574)Termination reason: Instruction limit
% 13.38/3.48 % (2818574)Termination phase: Saturation
% 13.38/3.48 % (2818574)Time elapsed: 0.114 s
% 13.38/3.48 % (2818574)Peak memory usage: 90 MB
% 13.38/3.48 % (2818574)Instructions burned: 113 (million)
% 13.38/3.48 % (2818576)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3157333547:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 13.38/3.48 % (2818576)Refutation not found, incomplete strategy
% 13.38/3.48 % (2818576)------------------------------
% 13.38/3.48 % (2818576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818576)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818576)Termination reason: Refutation not found, incomplete strategy
% 13.38/3.48 % (2818576)Time elapsed: 0.001 s
% 13.38/3.48 % (2818576)Peak memory usage: 87 MB
% 13.38/3.48 % (2818576)Instructions burned: 1 (million)
% 13.38/3.48 % (2818572)Instruction limit reached!
% 13.38/3.48 % (2818572)------------------------------
% 13.38/3.48 % (2818572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818572)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818572)Termination reason: Instruction limit
% 13.38/3.48 % (2818572)Termination phase: Saturation
% 13.38/3.48 % (2818572)Time elapsed: 0.271 s
% 13.38/3.48 % (2818572)Peak memory usage: 90 MB
% 13.38/3.48 % (2818572)Instructions burned: 295 (million)
% 13.38/3.48 % (2818579)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3901971586:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 13.38/3.48 % (2818581)lrs+10_1_sil=8000:sp=occurrence:random_seed=4284637897:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 13.38/3.48 % (2818552)------------------------------
% 13.38/3.48 % (2818552)------------------------------
% 13.38/3.48 % (2818579)Instruction limit reached!
% 13.38/3.48 % (2818579)------------------------------
% 13.38/3.48 % (2818579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818579)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818579)Termination reason: Instruction limit
% 13.38/3.48 % (2818579)Termination phase: Saturation
% 13.38/3.48 % (2818579)Time elapsed: 0.065 s
% 13.38/3.48 % (2818579)Peak memory usage: 89 MB
% 13.38/3.48 % (2818579)Instructions burned: 115 (million)
% 13.38/3.48 % (2818576)------------------------------
% 13.38/3.48 % (2818576)------------------------------
% 13.38/3.48 % (2818584)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=295528676:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 13.38/3.48 % (2818584)Refutation not found, incomplete strategy
% 13.38/3.48 % (2818584)------------------------------
% 13.38/3.48 % (2818584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818584)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818584)Termination reason: Refutation not found, incomplete strategy
% 13.38/3.48 % (2818584)Time elapsed: 0.002 s
% 13.38/3.48 % (2818584)Peak memory usage: 88 MB
% 13.38/3.48 % (2818584)Instructions burned: 1 (million)
% 13.38/3.48 % (2818588)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1849612349:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 13.38/3.48 % (2818551)First to succeed.
% 13.38/3.48 % (2818551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2818545"
% 13.38/3.48 % (2818604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=356835527:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 13.38/3.48 % (2818604)Refutation not found, incomplete strategy
% 13.38/3.48 % (2818604)------------------------------
% 13.38/3.48 % (2818604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.48 % (2818604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.48 % (2818604)CaDiCaL version: 2.1.3
% 13.38/3.48 % (2818604)Termination reason: Refutation not found, incomplete strategy
% 13.38/3.48 % (2818604)Time elapsed: 0.002 s
% 13.38/3.48 % (2818604)Peak memory usage: 89 MB
% 13.38/3.48 % (2818604)Instructions burned: 2 (million)
% 13.38/3.48 % (2818581)Also succeeded, but the first one will report.
% 13.38/3.48 % (2818584)------------------------------
% 13.38/3.48 % (2818584)------------------------------
% 13.38/3.48 % (2818551)Refutation found. Thanks to Tanya!
% 13.38/3.48 % SZS status Theorem for theBenchmark
% 13.38/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 15.11/3.69 % (2818551)------------------------------
% 15.11/3.69 % (2818551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.11/3.69 % (2818551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/3.69 % (2818551)CaDiCaL version: 2.1.3
% 15.11/3.69 % (2818551)Termination reason: Refutation
% 15.11/3.69 % (2818551)Time elapsed: 1.463 s
% 15.11/3.69 % (2818551)Peak memory usage: 134 MB
% 15.11/3.69 % (2818551)Instructions burned: 1603 (million)
% 15.11/3.69 % (2818551)------------------------------
% 15.11/3.69 % (2818551)------------------------------
% 15.11/3.69 % (2818545)Success in time 2.012 s
% 15.11/3.69 % Vampire exiting
%------------------------------------------------------------------------------