TSTP Solution File: REL018-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL018-1 : 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 : n016.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 14:48:05 EDT 2024
% Result : Unsatisfiable 9.71s 1.71s
% Output : Refutation 9.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 14
% Syntax : Number of formulae : 174 ( 174 unt; 0 def)
% Number of atoms : 174 ( 173 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 : 6 ( 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 : 166 ( 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50652,plain,
$false,
inference(trivial_inequality_removal,[],[f50627]) ).
fof(f50627,plain,
complement(sk1) != complement(sk1),
inference(superposition,[],[f15,f50462]) ).
fof(f50462,plain,
complement(sk1) = composition(complement(sk1),top),
inference(superposition,[],[f2100,f50343]) ).
fof(f50343,plain,
sk1 = complement(composition(complement(sk1),top)),
inference(forward_demodulation,[],[f50342,f954]) ).
fof(f954,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[],[f844,f951]) ).
fof(f951,plain,
zero = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f950,f612]) ).
fof(f612,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f606,f24]) ).
fof(f24,plain,
zero = complement(top),
inference(forward_demodulation,[],[f19,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f19,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(f606,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f561,f603]) ).
fof(f603,plain,
top = join(top,top),
inference(forward_demodulation,[],[f602,f354]) ).
fof(f354,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f322,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f322,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f311,f12]) ).
fof(f311,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f310,f8]) ).
fof(f310,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(X1,converse(converse(X0))),
inference(forward_demodulation,[],[f274,f30]) ).
fof(f30,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(f274,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f237,f9]) ).
fof(f237,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f32,f9]) ).
fof(f32,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f602,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f601,f24]) ).
fof(f601,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f600,f593]) ).
fof(f593,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f590,f28]) ).
fof(f28,plain,
top = join(top,zero),
inference(superposition,[],[f12,f24]) ).
fof(f590,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f166,f561]) ).
fof(f166,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f28]) ).
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(f600,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f597,f1]) ).
fof(f597,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f16,f588]) ).
fof(f588,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f29,f561]) ).
fof(f29,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f25,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f24]) ).
fof(f16,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(f561,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f560,f179]) ).
fof(f179,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f166,f12]) ).
fof(f560,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f531,f1]) ).
fof(f531,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f16,f64]) ).
fof(f64,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f55,f24]) ).
fof(f55,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f29,f12]) ).
fof(f950,plain,
join(zero,zero) = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f949,f24]) ).
fof(f949,plain,
join(zero,complement(top)) = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f948,f1]) ).
fof(f948,plain,
join(complement(top),zero) = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f947,f604]) ).
fof(f604,plain,
top = join(top,complement(zero)),
inference(backward_demodulation,[],[f179,f603]) ).
fof(f947,plain,
join(complement(join(top,complement(zero))),zero) = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f946,f24]) ).
fof(f946,plain,
composition(converse(sk1),complement(sk1)) = join(complement(join(top,complement(complement(top)))),zero),
inference(forward_demodulation,[],[f945,f884]) ).
fof(f884,plain,
! [X0] : complement(join(top,complement(X0))) = meet(X0,composition(converse(sk1),complement(sk1))),
inference(forward_demodulation,[],[f869,f1]) ).
fof(f869,plain,
! [X0] : meet(X0,composition(converse(sk1),complement(sk1))) = complement(join(complement(X0),top)),
inference(superposition,[],[f4,f843]) ).
fof(f843,plain,
top = complement(composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f823,f12]) ).
fof(f823,plain,
! [X0] : join(composition(converse(sk1),complement(sk1)),X0) = X0,
inference(superposition,[],[f801,f548]) ).
fof(f548,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f524,f4]) ).
fof(f524,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f16,f13]) ).
fof(f801,plain,
! [X0] : join(zero,X0) = join(composition(converse(sk1),complement(sk1)),join(zero,X0)),
inference(superposition,[],[f2,f793]) ).
fof(f793,plain,
zero = join(composition(converse(sk1),complement(sk1)),zero),
inference(forward_demodulation,[],[f775,f24]) ).
fof(f775,plain,
complement(top) = join(composition(converse(sk1),complement(sk1)),complement(top)),
inference(superposition,[],[f11,f14]) ).
fof(f14,axiom,
sk1 = composition(sk1,top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f945,plain,
composition(converse(sk1),complement(sk1)) = join(meet(complement(top),composition(converse(sk1),complement(sk1))),zero),
inference(forward_demodulation,[],[f929,f84]) ).
fof(f84,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f20,f4]) ).
fof(f20,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f929,plain,
composition(converse(sk1),complement(sk1)) = join(meet(composition(converse(sk1),complement(sk1)),complement(top)),zero),
inference(superposition,[],[f567,f843]) ).
fof(f567,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f540,f24]) ).
fof(f540,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f16,f12]) ).
fof(f844,plain,
! [X0] : join(X0,composition(converse(sk1),complement(sk1))) = X0,
inference(superposition,[],[f823,f1]) ).
fof(f50342,plain,
join(sk1,zero) = complement(composition(complement(sk1),top)),
inference(forward_demodulation,[],[f50341,f24]) ).
fof(f50341,plain,
complement(composition(complement(sk1),top)) = join(sk1,complement(top)),
inference(forward_demodulation,[],[f50340,f1]) ).
fof(f50340,plain,
complement(composition(complement(sk1),top)) = join(complement(top),sk1),
inference(forward_demodulation,[],[f50339,f40119]) ).
fof(f40119,plain,
top = join(sk1,composition(complement(sk1),top)),
inference(backward_demodulation,[],[f702,f40118]) ).
fof(f40118,plain,
top = composition(top,top),
inference(backward_demodulation,[],[f716,f40117]) ).
fof(f40117,plain,
top = join(composition(complement(sk1),top),sk1),
inference(forward_demodulation,[],[f40088,f954]) ).
fof(f40088,plain,
top = join(composition(complement(sk1),top),join(sk1,zero)),
inference(backward_demodulation,[],[f5419,f40042]) ).
fof(f40042,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f38333,f32754]) ).
fof(f32754,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f1450,f32688]) ).
fof(f32688,plain,
one = converse(one),
inference(superposition,[],[f1450,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f1450,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f1425,f8]) ).
fof(f1425,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f68,f6]) ).
fof(f68,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f38333,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f38332,f38186]) ).
fof(f38186,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f37873,f2018]) ).
fof(f2018,plain,
top = converse(top),
inference(superposition,[],[f1966,f355]) ).
fof(f355,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f325,f8]) ).
fof(f325,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f311,f115]) ).
fof(f115,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f30,f12]) ).
fof(f1966,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f1689,f1960]) ).
fof(f1960,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1959,f354]) ).
fof(f1959,plain,
! [X0,X1] : join(top,complement(X0)) = join(complement(complement(X1)),complement(X1)),
inference(forward_demodulation,[],[f1958,f1955]) ).
fof(f1955,plain,
! [X0,X1] : meet(join(top,complement(X0)),X1) = complement(complement(X1)),
inference(forward_demodulation,[],[f1923,f952]) ).
fof(f952,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f823,f951]) ).
fof(f1923,plain,
! [X0,X1] : meet(join(top,complement(X0)),X1) = complement(join(zero,complement(X1))),
inference(backward_demodulation,[],[f1502,f1918]) ).
fof(f1918,plain,
! [X0] : zero = meet(X0,zero),
inference(backward_demodulation,[],[f958,f1836]) ).
fof(f1836,plain,
! [X0] : zero = complement(join(top,complement(X0))),
inference(backward_demodulation,[],[f955,f1828]) ).
fof(f1828,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f1819,f952]) ).
fof(f1819,plain,
! [X0] : zero = join(zero,meet(zero,X0)),
inference(forward_demodulation,[],[f1818,f955]) ).
fof(f1818,plain,
! [X0] : zero = join(zero,complement(join(top,complement(X0)))),
inference(forward_demodulation,[],[f1817,f647]) ).
fof(f647,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f603]) ).
fof(f1817,plain,
! [X0] : zero = join(zero,complement(join(top,join(top,complement(X0))))),
inference(forward_demodulation,[],[f1816,f169]) ).
fof(f169,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f1816,plain,
! [X0] : zero = join(zero,complement(join(top,join(complement(X0),top)))),
inference(forward_demodulation,[],[f1815,f953]) ).
fof(f953,plain,
top = complement(zero),
inference(backward_demodulation,[],[f843,f951]) ).
fof(f1815,plain,
! [X0] : zero = join(zero,complement(join(top,join(complement(X0),complement(zero))))),
inference(forward_demodulation,[],[f1810,f169]) ).
fof(f1810,plain,
! [X0] : zero = join(zero,complement(join(complement(zero),join(top,complement(X0))))),
inference(superposition,[],[f16,f1713]) ).
fof(f1713,plain,
! [X0] : zero = meet(zero,join(top,complement(X0))),
inference(backward_demodulation,[],[f1514,f1712]) ).
fof(f1712,plain,
! [X0] : zero = complement(join(top,meet(X0,zero))),
inference(backward_demodulation,[],[f1495,f1711]) ).
fof(f1711,plain,
! [X0] : zero = meet(join(top,complement(X0)),zero),
inference(forward_demodulation,[],[f1705,f24]) ).
fof(f1705,plain,
! [X0] : complement(top) = meet(join(top,complement(X0)),zero),
inference(backward_demodulation,[],[f1496,f1701]) ).
fof(f1701,plain,
! [X0] : top = join(top,meet(zero,X0)),
inference(forward_demodulation,[],[f1684,f354]) ).
fof(f1684,plain,
! [X0] : join(complement(X0),X0) = join(top,meet(zero,X0)),
inference(superposition,[],[f157,f1221]) ).
fof(f1221,plain,
! [X0] : join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(forward_demodulation,[],[f1220,f955]) ).
fof(f1220,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1210,f1]) ).
fof(f1210,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f16,f965]) ).
fof(f965,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f29,f952]) ).
fof(f157,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1496,plain,
! [X0] : complement(join(top,meet(zero,X0))) = meet(join(top,complement(X0)),zero),
inference(superposition,[],[f958,f955]) ).
fof(f1495,plain,
! [X0] : meet(join(top,complement(X0)),zero) = complement(join(top,meet(X0,zero))),
inference(superposition,[],[f958,f958]) ).
fof(f1514,plain,
! [X0] : meet(zero,join(top,complement(X0))) = complement(join(top,meet(X0,zero))),
inference(superposition,[],[f955,f958]) ).
fof(f955,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(backward_demodulation,[],[f868,f951]) ).
fof(f868,plain,
! [X0] : meet(composition(converse(sk1),complement(sk1)),X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f843]) ).
fof(f958,plain,
! [X0] : meet(X0,zero) = complement(join(top,complement(X0))),
inference(backward_demodulation,[],[f884,f951]) ).
fof(f1502,plain,
! [X0,X1] : meet(join(top,complement(X0)),X1) = complement(join(meet(X0,zero),complement(X1))),
inference(superposition,[],[f4,f958]) ).
fof(f1958,plain,
! [X0,X1] : join(top,complement(X0)) = join(meet(join(top,complement(X0)),X1),complement(X1)),
inference(forward_demodulation,[],[f1928,f952]) ).
fof(f1928,plain,
! [X0,X1] : join(top,complement(X0)) = join(meet(join(top,complement(X0)),X1),complement(join(zero,X1))),
inference(backward_demodulation,[],[f1507,f1918]) ).
fof(f1507,plain,
! [X0,X1] : join(top,complement(X0)) = join(meet(join(top,complement(X0)),X1),complement(join(meet(X0,zero),X1))),
inference(superposition,[],[f16,f958]) ).
fof(f1689,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f157,f12]) ).
fof(f37873,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f30244,f954]) ).
fof(f30244,plain,
! [X0,X1] : join(composition(converse(X1),complement(composition(X1,top))),X0) = X0,
inference(forward_demodulation,[],[f30076,f952]) ).
fof(f30076,plain,
! [X0,X1] : join(zero,X0) = join(composition(converse(X1),complement(composition(X1,top))),join(zero,X0)),
inference(superposition,[],[f787,f24]) ).
fof(f787,plain,
! [X2,X0,X1] : join(complement(X1),X2) = join(composition(converse(X0),complement(composition(X0,X1))),join(complement(X1),X2)),
inference(superposition,[],[f2,f11]) ).
fof(f38332,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f38331,f1966]) ).
fof(f38331,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f38312,f954]) ).
fof(f38312,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f7,f38186]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f5419,plain,
top = join(composition(complement(sk1),top),join(sk1,complement(composition(top,top)))),
inference(superposition,[],[f168,f716]) ).
fof(f168,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f716,plain,
composition(top,top) = join(composition(complement(sk1),top),sk1),
inference(forward_demodulation,[],[f712,f8]) ).
fof(f712,plain,
join(composition(complement(sk1),top),sk1) = converse(converse(composition(top,top))),
inference(superposition,[],[f311,f702]) ).
fof(f702,plain,
join(sk1,composition(complement(sk1),top)) = composition(top,top),
inference(superposition,[],[f660,f12]) ).
fof(f660,plain,
! [X0] : composition(join(sk1,X0),top) = join(sk1,composition(X0,top)),
inference(superposition,[],[f7,f14]) ).
fof(f50339,plain,
complement(composition(complement(sk1),top)) = join(complement(join(sk1,composition(complement(sk1),top))),sk1),
inference(forward_demodulation,[],[f50338,f23009]) ).
fof(f23009,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X1),complement(X0)),
inference(superposition,[],[f3414,f2100]) ).
fof(f3414,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[],[f1872,f1067]) ).
fof(f1067,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f952,f548]) ).
fof(f1872,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),complement(X2))) = meet(complement(meet(X1,X0)),X2),
inference(backward_demodulation,[],[f17,f1870]) ).
fof(f1870,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f1864,f954]) ).
fof(f1864,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(meet(X1,X0)),zero),
inference(backward_demodulation,[],[f1318,f1834]) ).
fof(f1834,plain,
! [X0,X1] : zero = complement(join(top,meet(X0,X1))),
inference(backward_demodulation,[],[f1465,f1828]) ).
fof(f1465,plain,
! [X0,X1] : meet(zero,join(complement(X0),complement(X1))) = complement(join(top,meet(X0,X1))),
inference(superposition,[],[f955,f4]) ).
fof(f1318,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(meet(X1,X0)),complement(join(top,meet(X0,X1)))),
inference(forward_demodulation,[],[f1317,f953]) ).
fof(f1317,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(meet(X1,X0)),complement(join(complement(zero),meet(X0,X1)))),
inference(forward_demodulation,[],[f1303,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f1303,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(meet(X1,X0)),meet(zero,join(complement(X0),complement(X1)))),
inference(superposition,[],[f1221,f20]) ).
fof(f17,plain,
! [X2,X0,X1] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[],[f4,f4]) ).
fof(f50338,plain,
complement(composition(complement(sk1),top)) = join(meet(complement(sk1),complement(composition(complement(sk1),top))),sk1),
inference(forward_demodulation,[],[f50262,f84]) ).
fof(f50262,plain,
complement(composition(complement(sk1),top)) = join(meet(complement(composition(complement(sk1),top)),complement(sk1)),sk1),
inference(superposition,[],[f545,f49800]) ).
fof(f49800,plain,
sk1 = meet(complement(composition(complement(sk1),top)),sk1),
inference(forward_demodulation,[],[f49746,f2100]) ).
fof(f49746,plain,
complement(complement(sk1)) = meet(complement(composition(complement(sk1),top)),sk1),
inference(superposition,[],[f3414,f1380]) ).
fof(f1380,plain,
complement(sk1) = join(composition(complement(sk1),top),complement(sk1)),
inference(forward_demodulation,[],[f1379,f8]) ).
fof(f1379,plain,
complement(sk1) = join(composition(converse(converse(complement(sk1))),top),complement(sk1)),
inference(forward_demodulation,[],[f1375,f953]) ).
fof(f1375,plain,
complement(sk1) = join(composition(converse(converse(complement(sk1))),complement(zero)),complement(sk1)),
inference(superposition,[],[f11,f1341]) ).
fof(f1341,plain,
zero = composition(converse(complement(sk1)),sk1),
inference(superposition,[],[f863,f954]) ).
fof(f863,plain,
! [X0] : join(composition(converse(complement(sk1)),sk1),X0) = X0,
inference(forward_demodulation,[],[f862,f8]) ).
fof(f862,plain,
! [X0] : converse(converse(X0)) = join(composition(converse(complement(sk1)),sk1),X0),
inference(forward_demodulation,[],[f856,f68]) ).
fof(f856,plain,
! [X0] : converse(converse(X0)) = join(converse(composition(converse(sk1),complement(sk1))),X0),
inference(superposition,[],[f31,f823]) ).
fof(f31,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f545,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f16,f4]) ).
fof(f2100,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f1871,f1067]) ).
fof(f1871,plain,
! [X0,X1] : meet(X0,X1) = complement(complement(meet(X1,X0))),
inference(backward_demodulation,[],[f4,f1870]) ).
fof(f15,axiom,
complement(sk1) != composition(complement(sk1),top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : REL018-1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 01:01:40 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (11722)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (11726)WARNING: value z3 for option sas not known
% 0.16/0.32 % (11727)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (11725)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.32 % (11724)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (11728)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)
% 0.16/0.32 % (11729)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)
% 0.16/0.32 % (11726)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)
% 0.16/0.32 % (11730)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)
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [3]
% 0.16/0.37 TRYING [4]
% 0.16/0.38 TRYING [5]
% 0.16/0.49 TRYING [5]
% 0.16/0.51 TRYING [6]
% 4.83/1.05 TRYING [7]
% 7.49/1.42 TRYING [1]
% 7.49/1.42 TRYING [2]
% 7.49/1.42 TRYING [3]
% 7.90/1.44 TRYING [4]
% 8.11/1.49 TRYING [5]
% 9.49/1.66 TRYING [6]
% 9.71/1.70 % (11729)First to succeed.
% 9.71/1.71 % (11729)Refutation found. Thanks to Tanya!
% 9.71/1.71 % SZS status Unsatisfiable for theBenchmark
% 9.71/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 9.71/1.71 % (11729)------------------------------
% 9.71/1.71 % (11729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 9.71/1.71 % (11729)Termination reason: Refutation
% 9.71/1.71
% 9.71/1.71 % (11729)Memory used [KB]: 17942
% 9.71/1.71 % (11729)Time elapsed: 1.387 s
% 9.71/1.71 % (11729)Instructions burned: 2726 (million)
% 9.71/1.71 % (11729)------------------------------
% 9.71/1.71 % (11729)------------------------------
% 9.71/1.71 % (11722)Success in time 1.391 s
%------------------------------------------------------------------------------