TSTP Solution File: REL004-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL004-2 : 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 : n004.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 14:47:58 EDT 2024
% Result : Unsatisfiable 34.12s 5.22s
% Output : Refutation 34.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 9
% Syntax : Number of formulae : 172 ( 172 unt; 0 def)
% Number of atoms : 172 ( 171 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 227 ( 227 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166851,plain,
$false,
inference(trivial_inequality_removal,[],[f166706]) ).
fof(f166706,plain,
converse(complement(sk1)) != converse(complement(sk1)),
inference(superposition,[],[f17,f165052]) ).
fof(f165052,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f163791,f1430]) ).
fof(f1430,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f890,f1428]) ).
fof(f1428,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[],[f1427,f932]) ).
fof(f932,plain,
! [X0] : join(zero,meet(X0,meet(top,X0))) = X0,
inference(backward_demodulation,[],[f519,f890]) ).
fof(f519,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f374,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f374,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f354,f26]) ).
fof(f26,plain,
zero = complement(top),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f21,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f354,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f18,f12]) ).
fof(f18,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/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f1427,plain,
! [X0] : meet(top,X0) = join(zero,meet(X0,meet(top,X0))),
inference(forward_demodulation,[],[f1426,f122]) ).
fof(f122,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f22,f4]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f1426,plain,
! [X0] : meet(top,X0) = join(zero,meet(meet(top,X0),X0)),
inference(forward_demodulation,[],[f1417,f4]) ).
fof(f1417,plain,
! [X0] : meet(top,X0) = join(zero,complement(join(complement(meet(top,X0)),complement(X0)))),
inference(superposition,[],[f18,f907]) ).
fof(f907,plain,
! [X0] : zero = meet(meet(top,X0),complement(X0)),
inference(backward_demodulation,[],[f135,f872]) ).
fof(f872,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f449,f361]) ).
fof(f361,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f340,f4]) ).
fof(f340,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f18,f13]) ).
fof(f449,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f420,f26]) ).
fof(f420,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f392,f415]) ).
fof(f415,plain,
top = join(top,top),
inference(forward_demodulation,[],[f406,f12]) ).
fof(f406,plain,
join(zero,complement(zero)) = join(top,top),
inference(superposition,[],[f401,f1]) ).
fof(f401,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f400,f26]) ).
fof(f400,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f399,f393]) ).
fof(f393,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f391,f30]) ).
fof(f30,plain,
top = join(top,zero),
inference(superposition,[],[f12,f26]) ).
fof(f391,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f79,f373]) ).
fof(f373,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f372,f90]) ).
fof(f90,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f79,f12]) ).
fof(f372,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f18,f68]) ).
fof(f68,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f57,f26]) ).
fof(f57,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f31,f12]) ).
fof(f31,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f27,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f26]) ).
fof(f79,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f30]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f399,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f396,f1]) ).
fof(f396,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f18,f389]) ).
fof(f389,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f31,f373]) ).
fof(f392,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f373]) ).
fof(f135,plain,
! [X0] : zero = meet(meet(top,X0),join(zero,complement(X0))),
inference(superposition,[],[f131,f28]) ).
fof(f28,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f26]) ).
fof(f131,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f119,f26]) ).
fof(f119,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f22,f12]) ).
fof(f890,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(backward_demodulation,[],[f28,f872]) ).
fof(f163791,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[],[f163551,f163267]) ).
fof(f163267,plain,
! [X0] : converse(X0) = join(converse(X0),complement(converse(complement(X0)))),
inference(superposition,[],[f162965,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f162965,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(superposition,[],[f156861,f1]) ).
fof(f156861,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f156860,f872]) ).
fof(f156860,plain,
! [X0] : join(zero,X0) = join(complement(converse(complement(converse(X0)))),X0),
inference(forward_demodulation,[],[f156564,f1430]) ).
fof(f156564,plain,
! [X0] : join(zero,complement(complement(X0))) = join(complement(converse(complement(converse(X0)))),complement(complement(X0))),
inference(superposition,[],[f33991,f28122]) ).
fof(f28122,plain,
! [X0] : zero = meet(complement(X0),complement(converse(complement(converse(X0))))),
inference(superposition,[],[f11788,f1430]) ).
fof(f11788,plain,
! [X0] : zero = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f11703,f26]) ).
fof(f11703,plain,
! [X0] : complement(top) = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(superposition,[],[f1460,f2213]) ).
fof(f2213,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[],[f167,f2212]) ).
fof(f2212,plain,
top = converse(top),
inference(forward_demodulation,[],[f2211,f2210]) ).
fof(f2210,plain,
top = join(converse(top),top),
inference(forward_demodulation,[],[f2207,f8]) ).
fof(f2207,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f33,f2198]) ).
fof(f2198,plain,
converse(top) = join(top,converse(top)),
inference(forward_demodulation,[],[f2190,f167]) ).
fof(f2190,plain,
join(top,converse(top)) = join(top,converse(complement(converse(top)))),
inference(superposition,[],[f2027,f619]) ).
fof(f619,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f576,f8]) ).
fof(f576,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f329,f167]) ).
fof(f329,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f328,f8]) ).
fof(f328,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(X1,converse(converse(X0))),
inference(forward_demodulation,[],[f292,f32]) ).
fof(f32,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f292,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f255,f9]) ).
fof(f255,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f34,f9]) ).
fof(f34,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f2027,plain,
! [X0] : join(top,X0) = join(top,join(X0,top)),
inference(forward_demodulation,[],[f2026,f1884]) ).
fof(f1884,plain,
! [X0] : join(top,X0) = complement(meet(zero,complement(X0))),
inference(superposition,[],[f1430,f1785]) ).
fof(f1785,plain,
! [X0] : complement(join(top,X0)) = meet(zero,complement(X0)),
inference(superposition,[],[f986,f1430]) ).
fof(f986,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f966]) ).
fof(f966,plain,
top = complement(zero),
inference(backward_demodulation,[],[f426,f945]) ).
fof(f945,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f872,f361]) ).
fof(f426,plain,
meet(top,top) = complement(zero),
inference(backward_demodulation,[],[f40,f425]) ).
fof(f425,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f417,f26]) ).
fof(f417,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f373,f415]) ).
fof(f40,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f28,f26]) ).
fof(f2026,plain,
! [X0] : join(top,join(X0,top)) = complement(meet(zero,complement(X0))),
inference(forward_demodulation,[],[f1995,f1926]) ).
fof(f1926,plain,
! [X0] : meet(zero,X0) = meet(zero,meet(zero,X0)),
inference(forward_demodulation,[],[f1925,f986]) ).
fof(f1925,plain,
! [X0] : complement(join(top,complement(X0))) = meet(zero,meet(zero,X0)),
inference(forward_demodulation,[],[f1917,f1714]) ).
fof(f1714,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f1701]) ).
fof(f1701,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1697,f1430]) ).
fof(f1697,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f1430,f1678]) ).
fof(f1678,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f1442,f872]) ).
fof(f1442,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f930,f1428]) ).
fof(f930,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,meet(top,X0)))),
inference(backward_demodulation,[],[f367,f890]) ).
fof(f367,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f344,f1]) ).
fof(f344,plain,
! [X0] : complement(X0) = join(zero,complement(join(complement(complement(X0)),X0))),
inference(superposition,[],[f18,f131]) ).
fof(f1917,plain,
! [X0] : meet(zero,meet(zero,X0)) = complement(join(top,join(top,complement(X0)))),
inference(superposition,[],[f986,f1799]) ).
fof(f1799,plain,
! [X0] : join(top,complement(X0)) = complement(meet(zero,X0)),
inference(superposition,[],[f1430,f986]) ).
fof(f1995,plain,
! [X0] : join(top,join(X0,top)) = complement(meet(zero,meet(zero,complement(X0)))),
inference(superposition,[],[f1884,f1864]) ).
fof(f1864,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(X0,top)),
inference(superposition,[],[f1785,f1]) ).
fof(f33,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f2211,plain,
converse(top) = join(converse(top),top),
inference(forward_demodulation,[],[f2208,f8]) ).
fof(f2208,plain,
join(converse(top),top) = converse(converse(converse(top))),
inference(superposition,[],[f329,f2198]) ).
fof(f167,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f32,f12]) ).
fof(f1460,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f897,f1459]) ).
fof(f1459,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f891,f1430]) ).
fof(f891,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f31,f872]) ).
fof(f897,plain,
! [X0,X1] : complement(join(complement(X1),meet(X0,top))) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f61,f872]) ).
fof(f61,plain,
! [X0,X1] : meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),meet(X0,top))),
inference(superposition,[],[f4,f31]) ).
fof(f33991,plain,
! [X0,X1] : join(X1,complement(X0)) = join(meet(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f33990,f18600]) ).
fof(f18600,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(forward_demodulation,[],[f18597,f14868]) ).
fof(f14868,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[],[f14819,f122]) ).
fof(f14819,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),complement(X0))),
inference(superposition,[],[f1478,f14506]) ).
fof(f14506,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f14469,f1430]) ).
fof(f14469,plain,
! [X0,X1] : complement(complement(X0)) = meet(join(X0,X1),X0),
inference(superposition,[],[f1495,f14205]) ).
fof(f14205,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = X1,
inference(superposition,[],[f14104,f1]) ).
fof(f14104,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f11801,f1430]) ).
fof(f11801,plain,
! [X0,X1] : meet(X0,join(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f11787,f11721]) ).
fof(f11721,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(superposition,[],[f1430,f1460]) ).
fof(f11787,plain,
! [X0,X1] : meet(X0,complement(meet(X1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f11702,f1430]) ).
fof(f11702,plain,
! [X0,X1] : complement(complement(X0)) = meet(X0,complement(meet(X1,complement(X0)))),
inference(superposition,[],[f1460,f5161]) ).
fof(f5161,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5109,f1]) ).
fof(f5109,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f5031,f122]) ).
fof(f5031,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1714,f1478]) ).
fof(f1495,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f4,f1494]) ).
fof(f1494,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f1493,f872]) ).
fof(f1493,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f1485,f945]) ).
fof(f1485,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X1,X0)),complement(meet(X1,X0)))),
inference(backward_demodulation,[],[f571,f1479]) ).
fof(f1479,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = meet(X2,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f125,f1460]) ).
fof(f125,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X1,X0))),
inference(superposition,[],[f4,f22]) ).
fof(f571,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X1,X0)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f564,f122]) ).
fof(f564,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X1,X0)))),
inference(superposition,[],[f519,f22]) ).
fof(f1478,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f18,f1460]) ).
fof(f18597,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,meet(complement(X0),join(X0,complement(X1)))),
inference(backward_demodulation,[],[f17013,f18504]) ).
fof(f18504,plain,
! [X2,X0,X1] : meet(complement(X2),join(X0,complement(X1))) = complement(join(X2,meet(complement(X0),X1))),
inference(superposition,[],[f1461,f1461]) ).
fof(f1461,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f898,f1459]) ).
fof(f898,plain,
! [X0,X1] : complement(join(meet(X0,top),complement(X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f62,f872]) ).
fof(f62,plain,
! [X0,X1] : meet(join(zero,complement(X0)),X1) = complement(join(meet(X0,top),complement(X1))),
inference(superposition,[],[f4,f31]) ).
fof(f17013,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f17012,f11664]) ).
fof(f11664,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(superposition,[],[f1460,f1430]) ).
fof(f17012,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,meet(complement(X0),complement(meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f16927,f122]) ).
fof(f16927,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,meet(complement(meet(complement(X0),X1)),complement(X0))),
inference(superposition,[],[f1478,f16519]) ).
fof(f16519,plain,
! [X0,X1] : meet(complement(meet(complement(X0),X1)),X0) = X0,
inference(forward_demodulation,[],[f16449,f1430]) ).
fof(f16449,plain,
! [X0,X1] : complement(complement(X0)) = meet(complement(meet(complement(X0),X1)),X0),
inference(superposition,[],[f1495,f11786]) ).
fof(f11786,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f11701,f1430]) ).
fof(f11701,plain,
! [X0,X1] : complement(complement(X0)) = meet(X0,complement(meet(complement(X0),X1))),
inference(superposition,[],[f1460,f5117]) ).
fof(f5117,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f5031,f1]) ).
fof(f33990,plain,
! [X0,X1] : join(meet(X0,X1),complement(X0)) = complement(meet(complement(X1),X0)),
inference(forward_demodulation,[],[f33989,f17394]) ).
fof(f17394,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
inference(superposition,[],[f14234,f5161]) ).
fof(f14234,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X0,X2))) = X2,
inference(superposition,[],[f14104,f74]) ).
fof(f74,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[],[f2,f1]) ).
fof(f33989,plain,
! [X0,X1] : complement(meet(complement(X1),X0)) = join(meet(meet(X0,X1),join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f33742,f11721]) ).
fof(f33742,plain,
! [X0,X1] : complement(meet(complement(X1),X0)) = join(meet(meet(X0,X1),complement(meet(X0,complement(X1)))),complement(X0)),
inference(superposition,[],[f1517,f359]) ).
fof(f359,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f18,f4]) ).
fof(f1517,plain,
! [X2,X0,X1] : complement(meet(X1,X0)) = join(meet(X2,complement(meet(X0,X1))),complement(join(meet(X0,X1),X2))),
inference(backward_demodulation,[],[f1491,f1494]) ).
fof(f1491,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(meet(X2,complement(meet(X0,X1))),complement(join(meet(X0,X1),X2))),
inference(backward_demodulation,[],[f349,f1489]) ).
fof(f1489,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = meet(X2,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f124,f1483]) ).
fof(f1483,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(X2,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f108,f1479]) ).
fof(f108,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(X2,join(complement(X0),complement(X1))),
inference(superposition,[],[f22,f4]) ).
fof(f124,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X1,X0),complement(X2))),
inference(superposition,[],[f4,f22]) ).
fof(f349,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(superposition,[],[f18,f4]) ).
fof(f163551,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(superposition,[],[f5151,f163217]) ).
fof(f163217,plain,
! [X0] : meet(converse(complement(converse(complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f163216,f1430]) ).
fof(f163216,plain,
! [X0] : complement(complement(X0)) = meet(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f163128,f1430]) ).
fof(f163128,plain,
! [X0] : complement(complement(X0)) = meet(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(superposition,[],[f1461,f156861]) ).
fof(f5151,plain,
! [X0,X1] : join(converse(meet(converse(X0),X1)),X0) = X0,
inference(forward_demodulation,[],[f5141,f8]) ).
fof(f5141,plain,
! [X0,X1] : converse(converse(X0)) = join(converse(meet(converse(X0),X1)),X0),
inference(superposition,[],[f33,f5031]) ).
fof(f17,axiom,
converse(complement(sk1)) != complement(converse(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : REL004-2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:11:03 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (10912)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (10915)WARNING: value z3 for option sas not known
% 0.11/0.34 % (10914)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 % (10919)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)
% 0.11/0.34 % (10918)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 % (10916)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (10917)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 % (10913)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (10915)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.16/0.35 TRYING [1]
% 0.16/0.35 TRYING [2]
% 0.16/0.36 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.42 TRYING [4]
% 0.16/0.47 TRYING [4]
% 2.39/0.68 TRYING [5]
% 4.32/0.94 TRYING [5]
% 7.33/1.44 TRYING [1]
% 7.33/1.44 TRYING [2]
% 7.33/1.45 TRYING [3]
% 8.25/1.51 TRYING [4]
% 9.53/1.72 TRYING [6]
% 10.31/1.80 TRYING [5]
% 18.45/2.99 TRYING [6]
% 25.90/4.06 TRYING [6]
% 33.47/5.20 % (10918)First to succeed.
% 34.12/5.22 % (10918)Refutation found. Thanks to Tanya!
% 34.12/5.22 % SZS status Unsatisfiable for theBenchmark
% 34.12/5.22 % SZS output start Proof for theBenchmark
% See solution above
% 34.12/5.22 % (10918)------------------------------
% 34.12/5.22 % (10918)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 34.12/5.22 % (10918)Termination reason: Refutation
% 34.12/5.22
% 34.12/5.22 % (10918)Memory used [KB]: 55747
% 34.12/5.22 % (10918)Time elapsed: 4.867 s
% 34.12/5.22 % (10918)Instructions burned: 9372 (million)
% 34.12/5.22 % (10918)------------------------------
% 34.12/5.22 % (10918)------------------------------
% 34.12/5.22 % (10912)Success in time 4.878 s
%------------------------------------------------------------------------------