%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050+3 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:09 PM UTC 2026
% Result : Theorem 10.25s 2.56s
% Output : Refutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 14
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 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 : 190 ( 189 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(cnf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f22,f25]) ).
fof(f44,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f26,f35]) ).
fof(f45,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f24,f35]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[],[f38,f23]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f37]) ).
fof(f50,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f36,f37]) ).
fof(f73,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f44,f35]) ).
fof(f77,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f48,f32]) ).
fof(f85,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f77,f37]) ).
fof(f93,plain,
one = converse(one),
inference(superposition,[],[f32,f85]) ).
fof(f95,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f85,f93]) ).
fof(f114,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f31,f30]) ).
fof(f115,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f31,f85]) ).
fof(f129,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f115,f93]) ).
fof(f135,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f34,f44]) ).
fof(f144,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f155,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f45,f85]) ).
fof(f158,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f155,f95]) ).
fof(f266,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f114,f30]) ).
fof(f274,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f266,f36]) ).
fof(f285,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f274,f36]) ).
fof(f293,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f285,f30]) ).
fof(f316,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f37,f293]) ).
fof(f322,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f316,f37]) ).
fof(f355,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f322,f32]) ).
fof(f390,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f50,f23]) ).
fof(f520,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f135,f44]) ).
fof(f522,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,[],[f135,f158]) ).
fof(f541,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f522,f44]) ).
fof(f543,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f520,f35]) ).
fof(f558,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f543,f541]) ).
fof(f587,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f558,f135]) ).
fof(f588,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f558,f23]) ).
fof(f589,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f558,f558]) ).
fof(f591,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f558,f35]) ).
fof(f612,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f588,f46]) ).
fof(f613,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f587,f34]) ).
fof(f624,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f135,f589]) ).
fof(f641,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f624,f144]) ).
fof(f643,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f641,f613]) ).
fof(f651,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f35,f612]) ).
fof(f680,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f44,f643]) ).
fof(f695,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f35,f643]) ).
fof(f696,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f612,f643]) ).
fof(f697,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f696,f612]) ).
fof(f708,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f680,f643]) ).
fof(f742,plain,
top = complement(zero),
inference(superposition,[],[f697,f46]) ).
fof(f781,plain,
! [X0] : zero = join(zero,complement(join(top,X0))),
inference(superposition,[],[f558,f742]) ).
fof(f787,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f781,f651]) ).
fof(f940,plain,
! [X0,X1] : join(join(top,X0),X1) = join(X1,complement(zero)),
inference(superposition,[],[f695,f787]) ).
fof(f941,plain,
! [X0] : join(top,X0) = complement(zero),
inference(superposition,[],[f697,f787]) ).
fof(f942,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f941,f742]) ).
fof(f943,plain,
! [X0,X1] : join(join(top,X0),X1) = join(X1,top),
inference(forward_demodulation,[],[f940,f742]) ).
fof(f959,plain,
! [X0,X1] : join(X1,top) = join(top,join(X0,X1)),
inference(forward_demodulation,[],[f943,f34]) ).
fof(f974,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f959,f942]) ).
fof(f1025,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(superposition,[],[f50,f974]) ).
fof(f1101,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f73,f708]) ).
fof(f1115,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1101,f35]) ).
fof(f1156,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1115,f643]) ).
fof(f1184,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1156,f35]) ).
fof(f1205,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1184,f34]) ).
fof(f1220,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1205,f591]) ).
fof(f1233,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1220,f35]) ).
fof(f2602,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f355,f23]) ).
fof(f2714,plain,
top = composition(top,top),
inference(superposition,[],[f942,f2602]) ).
fof(f2752,plain,
! [X0] : composition(top,X0) = composition(top,composition(top,X0)),
inference(superposition,[],[f33,f2714]) ).
fof(f2904,plain,
top = converse(top),
inference(superposition,[],[f942,f1025]) ).
fof(f2905,plain,
zero = complement(converse(top)),
inference(superposition,[],[f787,f1025]) ).
fof(f2946,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f48,f2904]) ).
fof(f6144,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1220,f390]) ).
fof(f6181,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f6144,f2905]) ).
fof(f6212,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f6181,f612]) ).
fof(f6271,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f73,f6212]) ).
fof(f6286,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f50,f6212]) ).
fof(f6292,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f6286,f37]) ).
fof(f6305,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f6271,f35]) ).
fof(f6327,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f6305,f643]) ).
fof(f6338,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f6327,f1233]) ).
fof(f6345,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f6338,f695]) ).
fof(f6350,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f6345,f35]) ).
fof(f6352,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f6350,f6292]) ).
fof(f7207,plain,
! [X0] : complement(composition(top,X0)) = join(complement(composition(top,X0)),composition(converse(top),complement(composition(top,X0)))),
inference(superposition,[],[f45,f2752]) ).
fof(f7220,plain,
! [X0] : complement(composition(top,X0)) = composition(join(one,converse(top)),complement(composition(top,X0))),
inference(forward_demodulation,[],[f7207,f129]) ).
fof(f7234,plain,
! [X0] : complement(composition(top,X0)) = composition(converse(top),complement(composition(top,X0))),
inference(forward_demodulation,[],[f7220,f1025]) ).
fof(f7243,plain,
! [X0] : complement(composition(top,X0)) = composition(top,complement(composition(top,X0))),
inference(forward_demodulation,[],[f7234,f2904]) ).
fof(f8322,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f37,f6352]) ).
fof(f8393,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f697,f8322]) ).
fof(f8913,plain,
! [X0] : converse(complement(composition(top,X0))) = composition(converse(complement(composition(top,X0))),top),
inference(superposition,[],[f2946,f7243]) ).
fof(f8935,plain,
! [X0] : complement(converse(composition(top,X0))) = composition(complement(converse(composition(top,X0))),top),
inference(forward_demodulation,[],[f8913,f8393]) ).
fof(f8949,plain,
! [X0] : complement(composition(converse(X0),top)) = composition(complement(composition(converse(X0),top)),top),
inference(forward_demodulation,[],[f8935,f2946]) ).
fof(f10818,plain,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(superposition,[],[f8949,f37]) ).
fof(f10927,plain,
complement(composition(sK0,top)) != complement(composition(sK0,top)),
inference(superposition,[],[f21,f10818]) ).
fof(f10949,plain,
$false,
inference(trivial_inequality_removal,[],[f10927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL050+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n010.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 22:57:47 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 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
% 9.96/2.49 % (1397641)Detected formulas, will run a generic FOF schedule.
% 9.96/2.49 % (1397731)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1238017343:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.96/2.49 % (1397731)Refutation not found, incomplete strategy
% 9.96/2.49 % (1397731)------------------------------
% 9.96/2.49 % (1397731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.49 % (1397731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.49 % (1397731)CaDiCaL version: 2.1.3
% 9.96/2.49 % (1397731)Termination reason: Refutation not found, incomplete strategy
% 9.96/2.49 % (1397731)Time elapsed: 0.001 s
% 9.96/2.49 % (1397731)Peak memory usage: 88 MB
% 9.96/2.49 % (1397728)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=2937685045:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.96/2.49 % (1397729)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=157740751:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.96/2.49 % (1397735)dis-21_1_sil=8000:lcm=predicate:random_seed=3652683497: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)
% 9.96/2.49 % (1397733)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=417454343:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.96/2.49 % (1397732)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3889693300:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.96/2.49 % (1397735)Refutation not found, incomplete strategy
% 9.96/2.49 % (1397735)------------------------------
% 9.96/2.49 % (1397735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.49 % (1397735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.49 % (1397735)CaDiCaL version: 2.1.3
% 9.96/2.49 % (1397735)Termination reason: Refutation not found, incomplete strategy
% 9.96/2.49 % (1397735)Time elapsed: 0.002 s
% 9.96/2.49 % (1397735)Peak memory usage: 88 MB
% 9.96/2.49 % (1397735)Instructions burned: 1 (million)
% 9.96/2.49 % (1397730)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=2832757010:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.96/2.49 % (1397732)Instruction limit reached!
% 9.96/2.49 % (1397732)------------------------------
% 9.96/2.49 % (1397732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.49 % (1397732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.49 % (1397732)CaDiCaL version: 2.1.3
% 9.96/2.49 % (1397732)Termination reason: Instruction limit
% 9.96/2.49 % (1397732)Termination phase: Saturation
% 9.96/2.49 % (1397732)Time elapsed: 0.068 s
% 9.96/2.49 % (1397732)Peak memory usage: 89 MB
% 9.96/2.49 % (1397732)Instructions burned: 120 (million)
% 9.96/2.49 % (1397733)Instruction limit reached!
% 9.96/2.49 % (1397733)------------------------------
% 9.96/2.49 % (1397733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.96/2.49 % (1397733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.96/2.49 % (1397733)CaDiCaL version: 2.1.3
% 9.96/2.49 % (1397733)Termination reason: Instruction limit
% 9.96/2.49 % (1397733)Termination phase: Saturation
% 9.96/2.49 % (1397733)Time elapsed: 0.083 s
% 9.96/2.49 % (1397733)Peak memory usage: 90 MB
% 9.96/2.49 % (1397733)Instructions burned: 139 (million)
% 9.96/2.49 % (1397731)------------------------------
% 9.96/2.49 % (1397731)------------------------------
% 9.96/2.49 % (1397804)lrs+10_1_sil=8000:sp=occurrence:random_seed=1252009445:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.96/2.49 % (1397810)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1125482858:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.96/2.49 % (1397816)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4050366627:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.96/2.49 % (1397735)------------------------------
% 9.96/2.49 % (1397735)------------------------------
% 9.96/2.49 % (1397810)Instruction limit reached!
% 9.96/2.49 % (1397810)------------------------------
% 9.96/2.49 % (1397810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397810)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397810)Termination reason: Instruction limit
% 10.25/2.56 % (1397810)Termination phase: Saturation
% 10.25/2.56 % (1397810)Time elapsed: 0.086 s
% 10.25/2.56 % (1397810)Peak memory usage: 90 MB
% 10.25/2.56 % (1397810)Instructions burned: 157 (million)
% 10.25/2.56 % (1397816)Instruction limit reached!
% 10.25/2.56 % (1397816)------------------------------
% 10.25/2.56 % (1397816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397816)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397816)Termination reason: Instruction limit
% 10.25/2.56 % (1397816)Termination phase: Saturation
% 10.25/2.56 % (1397816)Time elapsed: 0.103 s
% 10.25/2.56 % (1397816)Peak memory usage: 92 MB
% 10.25/2.56 % (1397816)Instructions burned: 328 (million)
% 10.25/2.56 % (1397804)Instruction limit reached!
% 10.25/2.56 % (1397804)------------------------------
% 10.25/2.56 % (1397804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397804)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397804)Termination reason: Instruction limit
% 10.25/2.56 % (1397804)Termination phase: Saturation
% 10.25/2.56 % (1397804)Time elapsed: 0.169 s
% 10.25/2.56 % (1397804)Peak memory usage: 91 MB
% 10.25/2.56 % (1397804)Instructions burned: 286 (million)
% 10.25/2.56 % (1397821)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=3397751513:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.25/2.56 % (1397823)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2929693613:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.25/2.56 % (1397822)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2224099519:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.25/2.56 % (1397824)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=204149253:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.25/2.56 % (1397824)Refutation not found, incomplete strategy
% 10.25/2.56 % (1397824)------------------------------
% 10.25/2.56 % (1397824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397824)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397824)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.56 % (1397824)Time elapsed: 0.001 s
% 10.25/2.56 % (1397824)Peak memory usage: 88 MB
% 10.25/2.56 % (1397821)Instruction limit reached!
% 10.25/2.56 % (1397821)------------------------------
% 10.25/2.56 % (1397821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397821)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397821)Termination reason: Instruction limit
% 10.25/2.56 % (1397821)Termination phase: Saturation
% 10.25/2.56 % (1397821)Time elapsed: 0.155 s
% 10.25/2.56 % (1397821)Peak memory usage: 92 MB
% 10.25/2.56 % (1397821)Instructions burned: 249 (million)
% 10.25/2.56 % (1397822)Instruction limit reached!
% 10.25/2.56 % (1397822)------------------------------
% 10.25/2.56 % (1397822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397822)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397822)Termination reason: Instruction limit
% 10.25/2.56 % (1397822)Termination phase: Saturation
% 10.25/2.56 % (1397822)Time elapsed: 0.178 s
% 10.25/2.56 % (1397822)Peak memory usage: 92 MB
% 10.25/2.56 % (1397822)Instructions burned: 294 (million)
% 10.25/2.56 % (1397730)Refutation not found, incomplete strategy
% 10.25/2.56 % (1397730)------------------------------
% 10.25/2.56 % (1397730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397730)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397730)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.56 % (1397730)Time elapsed: 0.593 s
% 10.25/2.56 % (1397730)Peak memory usage: 128 MB
% 10.25/2.56 % (1397730)Instructions burned: 883 (million)
% 10.25/2.56 % (1397829)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4073421278:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.25/2.56 % (1397829)Refutation not found, incomplete strategy
% 10.25/2.56 % (1397829)------------------------------
% 10.25/2.56 % (1397829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397829)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397829)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.56 % (1397829)Time elapsed: 0.001 s
% 10.25/2.56 % (1397829)Peak memory usage: 87 MB
% 10.25/2.56 % (1397829)Instructions burned: 1 (million)
% 10.25/2.56 % (1397824)------------------------------
% 10.25/2.56 % (1397824)------------------------------
% 10.25/2.56 % (1397830)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3859980544:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.25/2.56 % (1397830)Instruction limit reached!
% 10.25/2.56 % (1397830)------------------------------
% 10.25/2.56 % (1397830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397830)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397830)Termination reason: Instruction limit
% 10.25/2.56 % (1397830)Termination phase: Saturation
% 10.25/2.56 % (1397830)Time elapsed: 0.058 s
% 10.25/2.56 % (1397830)Peak memory usage: 88 MB
% 10.25/2.56 % (1397830)Instructions burned: 115 (million)
% 10.25/2.56 % (1397730)------------------------------
% 10.25/2.56 % (1397730)------------------------------
% 10.25/2.56 % (1397833)lrs+10_1_sil=8000:sp=occurrence:random_seed=564022301:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.25/2.56 % (1397829)------------------------------
% 10.25/2.56 % (1397829)------------------------------
% 10.25/2.56 % (1397834)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1855437765:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.25/2.56 % (1397834)Refutation not found, incomplete strategy
% 10.25/2.56 % (1397834)------------------------------
% 10.25/2.56 % (1397834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397834)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397834)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.56 % (1397834)Time elapsed: 0.001 s
% 10.25/2.56 % (1397834)Peak memory usage: 88 MB
% 10.25/2.56 % (1397835)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=673000099:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.25/2.56 % (1397837)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2398954799:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.25/2.56 % (1397837)Refutation not found, incomplete strategy
% 10.25/2.56 % (1397837)------------------------------
% 10.25/2.56 % (1397837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397837)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397837)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.56 % (1397837)Time elapsed: 0.002 s
% 10.25/2.56 % (1397837)Peak memory usage: 89 MB
% 10.25/2.56 % (1397837)Instructions burned: 1 (million)
% 10.25/2.56 % (1397729)First to succeed.
% 10.25/2.56 % (1397729)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1397641"
% 10.25/2.56 % (1397834)------------------------------
% 10.25/2.56 % (1397834)------------------------------
% 10.25/2.56 % (1397823)Instruction limit reached!
% 10.25/2.56 % (1397823)------------------------------
% 10.25/2.56 % (1397823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.56 % (1397823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.56 % (1397823)CaDiCaL version: 2.1.3
% 10.25/2.56 % (1397823)Termination reason: Instruction limit
% 10.25/2.56 % (1397823)Termination phase: Saturation
% 10.25/2.56 % (1397823)Time elapsed: 0.832 s
% 10.25/2.56 % (1397823)Peak memory usage: 142 MB
% 10.25/2.56 % (1397823)Instructions burned: 2352 (million)
% 10.25/2.56 % (1397837)------------------------------
% 10.25/2.56 % (1397837)------------------------------
% 10.25/2.56 % (1397841)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4235024787:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 10.25/2.56 % (1397842)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2792968116:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 10.25/2.56 % (1397729)Refutation found. Thanks to Tanya!
% 10.25/2.56 % SZS status Theorem for theBenchmark
% 10.25/2.56 % SZS output start Proof for theBenchmark
% See solution above
% 11.98/2.75 % (1397729)------------------------------
% 11.98/2.75 % (1397729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.75 % (1397729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.75 % (1397729)CaDiCaL version: 2.1.3
% 11.98/2.75 % (1397729)Termination reason: Refutation
% 11.98/2.75 % (1397729)Time elapsed: 1.183 s
% 11.98/2.75 % (1397729)Peak memory usage: 137 MB
% 11.98/2.75 % (1397729)Instructions burned: 1835 (million)
% 11.98/2.75 % (1397729)------------------------------
% 11.98/2.75 % (1397729)------------------------------
% 11.98/2.75 % (1397641)Success in time 1.617 s
% 11.98/2.75 % Vampire exiting
%------------------------------------------------------------------------------