TSTP Solution File: REL010-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL010-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:48:02 EDT 2024
% Result : Unsatisfiable 17.00s 2.78s
% Output : Refutation 17.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 16
% Syntax : Number of formulae : 230 ( 230 unt; 0 def)
% Number of atoms : 230 ( 229 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 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 : 201 ( 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60945,plain,
$false,
inference(trivial_inequality_removal,[],[f60891]) ).
fof(f60891,plain,
zero != zero,
inference(superposition,[],[f18,f60426]) ).
fof(f60426,plain,
zero = meet(sk2,composition(converse(sk1),sk3)),
inference(superposition,[],[f21348,f19029]) ).
fof(f19029,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f19028,f16276]) ).
fof(f16276,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),zero) = X0,
inference(forward_demodulation,[],[f15040,f27]) ).
fof(f27,plain,
zero = complement(top),
inference(forward_demodulation,[],[f22,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f22,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f15040,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(top)) = X0,
inference(backward_demodulation,[],[f1835,f14989]) ).
fof(f14989,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f6127,f14988]) ).
fof(f14988,plain,
! [X0,X1] : top = join(meet(X0,X1),top),
inference(forward_demodulation,[],[f14980,f12]) ).
fof(f14980,plain,
! [X0,X1] : top = join(meet(X0,X1),join(meet(X1,meet(X0,composition(X1,converse(one)))),complement(meet(X1,meet(X0,composition(X1,converse(one))))))),
inference(superposition,[],[f162,f721]) ).
fof(f721,plain,
! [X0,X1] : meet(X1,meet(X0,composition(X1,converse(one)))) = join(meet(X0,X1),meet(X1,meet(X0,composition(X1,converse(one))))),
inference(forward_demodulation,[],[f720,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f720,plain,
! [X0,X1] : meet(X1,composition(meet(X0,composition(X1,converse(one))),one)) = join(meet(X0,X1),meet(X1,composition(meet(X0,composition(X1,converse(one))),one))),
inference(forward_demodulation,[],[f699,f93]) ).
fof(f93,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f23,f4]) ).
fof(f23,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f699,plain,
! [X0,X1] : meet(composition(meet(X0,composition(X1,converse(one))),one),X1) = join(meet(X0,X1),meet(composition(meet(X0,composition(X1,converse(one))),one),X1)),
inference(superposition,[],[f16,f6]) ).
fof(f16,axiom,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_2_16) ).
fof(f162,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f6127,plain,
! [X0] : join(top,X0) = join(meet(X0,X0),top),
inference(forward_demodulation,[],[f6117,f1087]) ).
fof(f1087,plain,
! [X0] : join(top,X0) = join(sk3,join(X0,top)),
inference(backward_demodulation,[],[f980,f1084]) ).
fof(f1084,plain,
! [X0] : join(top,X0) = join(top,join(meet(sk3,top),X0)),
inference(backward_demodulation,[],[f971,f1081]) ).
fof(f1081,plain,
! [X0] : join(top,X0) = join(sk3,join(top,X0)),
inference(superposition,[],[f2,f968]) ).
fof(f968,plain,
top = join(sk3,top),
inference(forward_demodulation,[],[f967,f39]) ).
fof(f39,plain,
top = join(zero,top),
inference(superposition,[],[f31,f1]) ).
fof(f31,plain,
top = join(top,zero),
inference(superposition,[],[f12,f27]) ).
fof(f967,plain,
join(zero,top) = join(sk3,top),
inference(forward_demodulation,[],[f966,f1]) ).
fof(f966,plain,
join(top,zero) = join(sk3,top),
inference(forward_demodulation,[],[f965,f1]) ).
fof(f965,plain,
join(top,zero) = join(top,sk3),
inference(forward_demodulation,[],[f963,f852]) ).
fof(f852,plain,
! [X0] : join(top,X0) = join(top,join(X0,complement(composition(sk1,sk2)))),
inference(superposition,[],[f850,f1]) ).
fof(f850,plain,
! [X0] : join(top,X0) = join(top,join(complement(composition(sk1,sk2)),X0)),
inference(superposition,[],[f2,f844]) ).
fof(f844,plain,
top = join(top,complement(composition(sk1,sk2))),
inference(forward_demodulation,[],[f843,f480]) ).
fof(f480,plain,
top = join(top,top),
inference(forward_demodulation,[],[f473,f12]) ).
fof(f473,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f467,f1]) ).
fof(f467,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f466,f27]) ).
fof(f466,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f465,f459]) ).
fof(f459,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f458,f39]) ).
fof(f458,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f456,f1]) ).
fof(f456,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f159,f388]) ).
fof(f388,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f387,f204]) ).
fof(f204,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f159,f12]) ).
fof(f387,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f19,f73]) ).
fof(f73,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f62,f27]) ).
fof(f62,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f32,f12]) ).
fof(f32,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f28,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f27]) ).
fof(f19,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f159,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f31]) ).
fof(f465,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f462,f1]) ).
fof(f462,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f19,f454]) ).
fof(f454,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f32,f388]) ).
fof(f843,plain,
join(top,top) = join(top,complement(composition(sk1,sk2))),
inference(forward_demodulation,[],[f837,f152]) ).
fof(f152,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f837,plain,
join(top,complement(composition(sk1,sk2))) = join(sk3,join(complement(sk3),top)),
inference(superposition,[],[f773,f12]) ).
fof(f773,plain,
! [X0] : join(top,X0) = join(sk3,join(complement(sk3),join(composition(sk1,sk2),X0))),
inference(forward_demodulation,[],[f772,f2]) ).
fof(f772,plain,
! [X0] : join(top,X0) = join(sk3,join(join(complement(sk3),composition(sk1,sk2)),X0)),
inference(superposition,[],[f2,f771]) ).
fof(f771,plain,
top = join(sk3,join(complement(sk3),composition(sk1,sk2))),
inference(forward_demodulation,[],[f767,f39]) ).
fof(f767,plain,
join(zero,top) = join(sk3,join(complement(sk3),composition(sk1,sk2))),
inference(superposition,[],[f590,f680]) ).
fof(f680,plain,
top = join(join(complement(sk3),composition(sk1,sk2)),meet(sk3,join(sk3,top))),
inference(superposition,[],[f12,f575]) ).
fof(f575,plain,
complement(join(complement(sk3),composition(sk1,sk2))) = meet(sk3,join(sk3,top)),
inference(forward_demodulation,[],[f571,f93]) ).
fof(f571,plain,
complement(join(complement(sk3),composition(sk1,sk2))) = meet(join(sk3,top),sk3),
inference(superposition,[],[f23,f401]) ).
fof(f401,plain,
join(complement(sk3),composition(sk1,sk2)) = join(complement(sk3),complement(join(sk3,top))),
inference(forward_demodulation,[],[f400,f394]) ).
fof(f394,plain,
join(top,complement(join(complement(sk3),composition(sk1,sk2)))) = join(sk3,top),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f392,plain,
join(top,complement(join(complement(sk3),composition(sk1,sk2)))) = join(top,sk3),
inference(superposition,[],[f159,f361]) ).
fof(f361,plain,
sk3 = join(zero,complement(join(complement(sk3),composition(sk1,sk2)))),
inference(superposition,[],[f19,f110]) ).
fof(f110,plain,
zero = meet(sk3,composition(sk1,sk2)),
inference(superposition,[],[f93,f17]) ).
fof(f17,axiom,
zero = meet(composition(sk1,sk2),sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f400,plain,
join(complement(sk3),composition(sk1,sk2)) = join(complement(sk3),complement(join(top,complement(join(complement(sk3),composition(sk1,sk2)))))),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f397,plain,
join(complement(sk3),composition(sk1,sk2)) = join(complement(sk3),complement(join(complement(join(complement(sk3),composition(sk1,sk2))),top))),
inference(superposition,[],[f19,f390]) ).
fof(f390,plain,
complement(sk3) = meet(join(complement(sk3),composition(sk1,sk2)),top),
inference(superposition,[],[f32,f361]) ).
fof(f590,plain,
! [X0] : join(sk3,X0) = join(zero,join(X0,meet(sk3,join(sk3,top)))),
inference(superposition,[],[f577,f1]) ).
fof(f577,plain,
! [X0] : join(sk3,X0) = join(zero,join(meet(sk3,join(sk3,top)),X0)),
inference(backward_demodulation,[],[f393,f575]) ).
fof(f393,plain,
! [X0] : join(zero,join(complement(join(complement(sk3),composition(sk1,sk2))),X0)) = join(sk3,X0),
inference(superposition,[],[f2,f361]) ).
fof(f963,plain,
join(top,sk3) = join(top,join(zero,complement(composition(sk1,sk2)))),
inference(superposition,[],[f852,f879]) ).
fof(f879,plain,
join(sk3,complement(composition(sk1,sk2))) = join(zero,complement(composition(sk1,sk2))),
inference(forward_demodulation,[],[f878,f1]) ).
fof(f878,plain,
join(sk3,complement(composition(sk1,sk2))) = join(complement(composition(sk1,sk2)),zero),
inference(forward_demodulation,[],[f876,f27]) ).
fof(f876,plain,
join(sk3,complement(composition(sk1,sk2))) = join(complement(composition(sk1,sk2)),complement(top)),
inference(backward_demodulation,[],[f425,f875]) ).
fof(f875,plain,
top = join(top,composition(sk1,sk2)),
inference(forward_demodulation,[],[f866,f480]) ).
fof(f866,plain,
join(top,top) = join(top,composition(sk1,sk2)),
inference(superposition,[],[f852,f12]) ).
fof(f425,plain,
join(sk3,complement(composition(sk1,sk2))) = join(complement(composition(sk1,sk2)),complement(join(top,composition(sk1,sk2)))),
inference(forward_demodulation,[],[f424,f417]) ).
fof(f417,plain,
join(top,complement(join(sk3,complement(composition(sk1,sk2))))) = join(top,composition(sk1,sk2)),
inference(superposition,[],[f159,f384]) ).
fof(f384,plain,
composition(sk1,sk2) = join(zero,complement(join(sk3,complement(composition(sk1,sk2))))),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f358,plain,
composition(sk1,sk2) = join(zero,complement(join(complement(composition(sk1,sk2)),sk3))),
inference(superposition,[],[f19,f17]) ).
fof(f424,plain,
join(sk3,complement(composition(sk1,sk2))) = join(complement(composition(sk1,sk2)),complement(join(top,complement(join(sk3,complement(composition(sk1,sk2))))))),
inference(forward_demodulation,[],[f421,f1]) ).
fof(f421,plain,
join(sk3,complement(composition(sk1,sk2))) = join(complement(composition(sk1,sk2)),complement(join(complement(join(sk3,complement(composition(sk1,sk2)))),top))),
inference(superposition,[],[f19,f415]) ).
fof(f415,plain,
complement(composition(sk1,sk2)) = meet(join(sk3,complement(composition(sk1,sk2))),top),
inference(superposition,[],[f32,f384]) ).
fof(f971,plain,
! [X0] : join(sk3,join(top,X0)) = join(top,join(meet(sk3,top),X0)),
inference(backward_demodulation,[],[f576,f968]) ).
fof(f576,plain,
! [X0] : join(sk3,join(top,X0)) = join(top,join(meet(sk3,join(sk3,top)),X0)),
inference(backward_demodulation,[],[f453,f575]) ).
fof(f453,plain,
! [X0] : join(top,join(complement(join(complement(sk3),composition(sk1,sk2))),X0)) = join(sk3,join(top,X0)),
inference(forward_demodulation,[],[f452,f2]) ).
fof(f452,plain,
! [X0] : join(top,join(complement(join(complement(sk3),composition(sk1,sk2))),X0)) = join(join(sk3,top),X0),
inference(superposition,[],[f2,f394]) ).
fof(f980,plain,
! [X0] : join(sk3,join(X0,top)) = join(top,join(meet(sk3,top),X0)),
inference(backward_demodulation,[],[f601,f968]) ).
fof(f601,plain,
! [X0] : join(top,join(meet(sk3,join(sk3,top)),X0)) = join(sk3,join(X0,top)),
inference(forward_demodulation,[],[f595,f163]) ).
fof(f163,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f595,plain,
! [X0] : join(top,join(meet(sk3,join(sk3,top)),X0)) = join(top,join(sk3,X0)),
inference(superposition,[],[f159,f577]) ).
fof(f6117,plain,
! [X0] : join(meet(X0,X0),top) = join(sk3,join(X0,top)),
inference(superposition,[],[f4042,f5436]) ).
fof(f5436,plain,
! [X0] : join(X0,top) = join(top,meet(X0,X0)),
inference(superposition,[],[f5032,f1829]) ).
fof(f1829,plain,
! [X0] : join(meet(X0,X0),zero) = X0,
inference(backward_demodulation,[],[f389,f1827]) ).
fof(f1827,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1826,f1072]) ).
fof(f1072,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f389,f1]) ).
fof(f1826,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f1804,f93]) ).
fof(f1804,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(superposition,[],[f373,f102]) ).
fof(f102,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f90,f27]) ).
fof(f90,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f23,f12]) ).
fof(f373,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f19,f4]) ).
fof(f389,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f368,f27]) ).
fof(f368,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f19,f12]) ).
fof(f5032,plain,
! [X0] : join(top,X0) = join(join(X0,zero),top),
inference(forward_demodulation,[],[f4952,f1081]) ).
fof(f4952,plain,
! [X0] : join(join(X0,zero),top) = join(sk3,join(top,X0)),
inference(superposition,[],[f4042,f205]) ).
fof(f205,plain,
! [X0] : join(top,X0) = join(top,join(X0,zero)),
inference(superposition,[],[f159,f1]) ).
fof(f4042,plain,
! [X0] : join(X0,top) = join(sk3,join(top,X0)),
inference(superposition,[],[f163,f968]) ).
fof(f1835,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),complement(join(top,X1))) = X0,
inference(backward_demodulation,[],[f1369,f1827]) ).
fof(f1369,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))) = X0,
inference(superposition,[],[f19,f152]) ).
fof(f19028,plain,
! [X0] : join(X0,zero) = join(meet(X0,join(X0,zero)),zero),
inference(forward_demodulation,[],[f19027,f93]) ).
fof(f19027,plain,
! [X0] : join(X0,zero) = join(meet(join(X0,zero),X0),zero),
inference(forward_demodulation,[],[f18978,f1827]) ).
fof(f18978,plain,
! [X0] : join(X0,zero) = join(meet(join(X0,zero),complement(complement(X0))),zero),
inference(superposition,[],[f373,f18746]) ).
fof(f18746,plain,
! [X0] : zero = meet(join(X0,zero),complement(X0)),
inference(superposition,[],[f18448,f1]) ).
fof(f18448,plain,
! [X0] : zero = meet(join(zero,X0),complement(X0)),
inference(superposition,[],[f18261,f1827]) ).
fof(f18261,plain,
! [X0] : zero = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f18260,f27]) ).
fof(f18260,plain,
! [X0] : complement(top) = meet(join(zero,complement(X0)),X0),
inference(forward_demodulation,[],[f18242,f1860]) ).
fof(f1860,plain,
! [X0] : join(zero,complement(X0)) = complement(meet(X0,top)),
inference(superposition,[],[f1827,f32]) ).
fof(f18242,plain,
! [X0] : complement(top) = meet(complement(meet(X0,top)),X0),
inference(superposition,[],[f1878,f18154]) ).
fof(f18154,plain,
! [X0] : top = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f18153,f16038]) ).
fof(f16038,plain,
! [X1] : top = join(X1,top),
inference(backward_demodulation,[],[f3939,f14993]) ).
fof(f14993,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f152,f14989]) ).
fof(f3939,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[],[f163,f12]) ).
fof(f18153,plain,
! [X0] : join(zero,top) = join(meet(top,X0),complement(X0)),
inference(forward_demodulation,[],[f18140,f1]) ).
fof(f18140,plain,
! [X0] : join(top,zero) = join(meet(top,X0),complement(X0)),
inference(superposition,[],[f1949,f18006]) ).
fof(f18006,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(superposition,[],[f17717,f93]) ).
fof(f17717,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(backward_demodulation,[],[f1964,f17713]) ).
fof(f17713,plain,
! [X0] : zero = meet(X0,zero),
inference(backward_demodulation,[],[f17300,f17688]) ).
fof(f17688,plain,
! [X0,X1] : zero = join(zero,meet(zero,meet(X0,X1))),
inference(superposition,[],[f373,f16643]) ).
fof(f16643,plain,
! [X0,X1] : zero = meet(zero,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f15901,f27]) ).
fof(f15901,plain,
! [X0,X1] : complement(top) = meet(zero,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f7843,f14989]) ).
fof(f7843,plain,
! [X0,X1] : complement(join(top,meet(X0,X1))) = meet(zero,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f7842,f93]) ).
fof(f7842,plain,
! [X0,X1] : meet(complement(meet(X1,X0)),zero) = complement(join(top,meet(X0,X1))),
inference(forward_demodulation,[],[f7771,f1]) ).
fof(f7771,plain,
! [X0,X1] : meet(complement(meet(X1,X0)),zero) = complement(join(meet(X0,X1),top)),
inference(superposition,[],[f1878,f1862]) ).
fof(f1862,plain,
top = complement(zero),
inference(superposition,[],[f1827,f27]) ).
fof(f17300,plain,
! [X0] : meet(X0,zero) = join(zero,meet(zero,meet(X0,zero))),
inference(forward_demodulation,[],[f17276,f27]) ).
fof(f17276,plain,
! [X0] : meet(X0,zero) = join(zero,meet(complement(top),meet(X0,zero))),
inference(superposition,[],[f1946,f17118]) ).
fof(f17118,plain,
! [X0] : zero = meet(meet(X0,zero),top),
inference(superposition,[],[f17113,f93]) ).
fof(f17113,plain,
! [X0] : zero = meet(meet(zero,X0),top),
inference(forward_demodulation,[],[f17087,f27]) ).
fof(f17087,plain,
! [X0] : complement(top) = meet(meet(zero,X0),top),
inference(superposition,[],[f32,f16882]) ).
fof(f16882,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f15028,f1949]) ).
fof(f15028,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f1355,f14989]) ).
fof(f1355,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f152,f1]) ).
fof(f1946,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f369,f1863]) ).
fof(f1863,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f4,f1827]) ).
fof(f369,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f19,f1]) ).
fof(f1964,plain,
! [X0] : join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[],[f373,f1862]) ).
fof(f1949,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(meet(X0,complement(X1)),X2)),
inference(backward_demodulation,[],[f374,f1864]) ).
fof(f1864,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f4,f1827]) ).
fof(f374,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f19]) ).
fof(f1878,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(complement(meet(X1,X0)),X2),
inference(backward_demodulation,[],[f20,f1858]) ).
fof(f1858,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(superposition,[],[f1827,f23]) ).
fof(f20,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f4,f4]) ).
fof(f21348,plain,
zero = join(meet(sk2,composition(converse(sk1),sk3)),zero),
inference(forward_demodulation,[],[f21347,f17715]) ).
fof(f17715,plain,
! [X0] : zero = meet(zero,X0),
inference(backward_demodulation,[],[f17161,f17688]) ).
fof(f17161,plain,
! [X0] : meet(zero,X0) = join(zero,meet(zero,meet(zero,X0))),
inference(forward_demodulation,[],[f17137,f27]) ).
fof(f17137,plain,
! [X0] : meet(zero,X0) = join(zero,meet(complement(top),meet(zero,X0))),
inference(superposition,[],[f1946,f17113]) ).
fof(f21347,plain,
meet(zero,sk2) = join(meet(sk2,composition(converse(sk1),sk3)),meet(zero,sk2)),
inference(forward_demodulation,[],[f21317,f93]) ).
fof(f21317,plain,
meet(sk2,zero) = join(meet(sk2,composition(converse(sk1),sk3)),meet(sk2,zero)),
inference(backward_demodulation,[],[f18223,f21304]) ).
fof(f21304,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f21303,f21243]) ).
fof(f21243,plain,
zero = composition(top,zero),
inference(superposition,[],[f21105,f19033]) ).
fof(f19033,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f3909,f19029]) ).
fof(f3909,plain,
! [X0] : join(X0,zero) = join(zero,join(X0,zero)),
inference(superposition,[],[f163,f490]) ).
fof(f490,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f482,f27]) ).
fof(f482,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f388,f480]) ).
fof(f21105,plain,
zero = join(zero,composition(top,zero)),
inference(forward_demodulation,[],[f21104,f2244]) ).
fof(f2244,plain,
top = converse(top),
inference(backward_demodulation,[],[f2191,f2234]) ).
fof(f2234,plain,
top = join(top,converse(top)),
inference(superposition,[],[f2232,f1]) ).
fof(f2232,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f2229,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f2229,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f34,f2191]) ).
fof(f34,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f2191,plain,
converse(top) = join(top,converse(top)),
inference(forward_demodulation,[],[f2190,f1340]) ).
fof(f1340,plain,
converse(top) = join(sk3,converse(top)),
inference(superposition,[],[f1081,f128]) ).
fof(f128,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f33,f12]) ).
fof(f33,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f2190,plain,
join(top,converse(top)) = join(sk3,converse(top)),
inference(forward_demodulation,[],[f2159,f1359]) ).
fof(f1359,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(superposition,[],[f152,f128]) ).
fof(f2159,plain,
join(top,converse(top)) = join(top,converse(complement(converse(complement(sk3))))),
inference(superposition,[],[f1222,f128]) ).
fof(f1222,plain,
! [X0] : join(top,X0) = join(top,join(complement(sk3),X0)),
inference(superposition,[],[f2,f1206]) ).
fof(f1206,plain,
top = join(top,complement(sk3)),
inference(forward_demodulation,[],[f1192,f480]) ).
fof(f1192,plain,
join(top,top) = join(top,complement(sk3)),
inference(superposition,[],[f1095,f12]) ).
fof(f1095,plain,
! [X0] : join(top,X0) = join(top,join(sk3,X0)),
inference(superposition,[],[f2,f1091]) ).
fof(f1091,plain,
top = join(top,sk3),
inference(forward_demodulation,[],[f1089,f973]) ).
fof(f973,plain,
top = join(top,meet(sk3,top)),
inference(backward_demodulation,[],[f578,f968]) ).
fof(f578,plain,
join(sk3,top) = join(top,meet(sk3,join(sk3,top))),
inference(backward_demodulation,[],[f394,f575]) ).
fof(f1089,plain,
join(top,sk3) = join(top,meet(sk3,top)),
inference(superposition,[],[f159,f974]) ).
fof(f974,plain,
sk3 = join(zero,meet(sk3,top)),
inference(backward_demodulation,[],[f579,f968]) ).
fof(f579,plain,
sk3 = join(zero,meet(sk3,join(sk3,top))),
inference(backward_demodulation,[],[f361,f575]) ).
fof(f21104,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f21042,f27]) ).
fof(f21042,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f543,f20852]) ).
fof(f20852,plain,
top = composition(top,top),
inference(superposition,[],[f20541,f162]) ).
fof(f20541,plain,
! [X0] : top = composition(join(one,X0),top),
inference(forward_demodulation,[],[f20540,f14989]) ).
fof(f20540,plain,
! [X0] : join(top,composition(X0,top)) = composition(join(one,X0),top),
inference(forward_demodulation,[],[f20539,f8]) ).
fof(f20539,plain,
! [X0] : join(top,composition(X0,top)) = composition(join(converse(converse(one)),X0),top),
inference(forward_demodulation,[],[f20473,f2244]) ).
fof(f20473,plain,
! [X0] : join(converse(top),composition(X0,converse(top))) = composition(join(converse(converse(one)),X0),converse(top)),
inference(superposition,[],[f434,f20317]) ).
fof(f20317,plain,
top = composition(top,converse(one)),
inference(superposition,[],[f19385,f19352]) ).
fof(f19352,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[],[f19134,f1827]) ).
fof(f19134,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f29,f19033]) ).
fof(f29,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f27]) ).
fof(f19385,plain,
top = meet(top,composition(top,converse(one))),
inference(backward_demodulation,[],[f15911,f19352]) ).
fof(f15911,plain,
top = meet(top,meet(top,composition(top,converse(one)))),
inference(backward_demodulation,[],[f14967,f14989]) ).
fof(f14967,plain,
meet(top,meet(top,composition(top,converse(one)))) = join(top,meet(top,meet(top,composition(top,converse(one))))),
inference(superposition,[],[f721,f1941]) ).
fof(f1941,plain,
top = meet(top,top),
inference(backward_demodulation,[],[f491,f1862]) ).
fof(f491,plain,
meet(top,top) = complement(zero),
inference(backward_demodulation,[],[f45,f490]) ).
fof(f45,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f29,f27]) ).
fof(f434,plain,
! [X2,X0,X1] : composition(join(converse(X0),X2),converse(X1)) = join(converse(composition(X1,X0)),composition(X2,converse(X1))),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f543,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(superposition,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f21303,plain,
! [X0] : composition(X0,zero) = composition(top,zero),
inference(forward_demodulation,[],[f21302,f16038]) ).
fof(f21302,plain,
! [X0] : composition(X0,zero) = composition(join(X0,top),zero),
inference(forward_demodulation,[],[f21274,f19029]) ).
fof(f21274,plain,
! [X0] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(superposition,[],[f7,f21243]) ).
fof(f18223,plain,
meet(sk2,composition(converse(sk1),zero)) = join(meet(sk2,composition(converse(sk1),sk3)),meet(sk2,composition(converse(sk1),zero))),
inference(forward_demodulation,[],[f18186,f93]) ).
fof(f18186,plain,
meet(sk2,composition(converse(sk1),zero)) = join(meet(composition(converse(sk1),sk3),sk2),meet(sk2,composition(converse(sk1),zero))),
inference(superposition,[],[f635,f110]) ).
fof(f635,plain,
! [X2,X0,X1] : meet(X2,composition(converse(X0),meet(X1,composition(X0,X2)))) = join(meet(composition(converse(X0),X1),X2),meet(X2,composition(converse(X0),meet(X1,composition(X0,X2))))),
inference(forward_demodulation,[],[f612,f93]) ).
fof(f612,plain,
! [X2,X0,X1] : meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2) = join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2)),
inference(superposition,[],[f15,f8]) ).
fof(f15,axiom,
! [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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1_15) ).
fof(f18,axiom,
zero != meet(sk2,composition(converse(sk1),sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL010-2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:06:50 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (24807)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (24810)WARNING: value z3 for option sas not known
% 0.11/0.34 % (24810)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (24811)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (24808)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (24813)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (24814)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (24809)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (24815)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.16/0.37 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.43 TRYING [4]
% 0.16/0.48 TRYING [4]
% 2.42/0.71 TRYING [5]
% 7.81/1.45 TRYING [1]
% 7.81/1.45 TRYING [2]
% 7.81/1.46 TRYING [3]
% 8.09/1.52 TRYING [4]
% 8.46/1.54 TRYING [5]
% 10.19/1.79 TRYING [6]
% 10.47/1.83 TRYING [5]
% 17.00/2.76 % (24814)First to succeed.
% 17.00/2.78 % (24814)Refutation found. Thanks to Tanya!
% 17.00/2.78 % SZS status Unsatisfiable for theBenchmark
% 17.00/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 17.00/2.78 % (24814)------------------------------
% 17.00/2.78 % (24814)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 17.00/2.78 % (24814)Termination reason: Refutation
% 17.00/2.78
% 17.00/2.78 % (24814)Memory used [KB]: 29084
% 17.00/2.78 % (24814)Time elapsed: 2.428 s
% 17.00/2.78 % (24814)Instructions burned: 4635 (million)
% 17.00/2.78 % (24814)------------------------------
% 17.00/2.78 % (24814)------------------------------
% 17.00/2.78 % (24807)Success in time 2.446 s
%------------------------------------------------------------------------------