TSTP Solution File: REL041-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL041-2 : 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 : n005.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 14:48:14 EDT 2024
% Result : Unsatisfiable 133.00s 19.48s
% Output : Refutation 133.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 16
% Syntax : Number of formulae : 190 ( 190 unt; 0 def)
% Number of atoms : 190 ( 189 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 218 ( 218 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1175527,plain,
$false,
inference(trivial_inequality_removal,[],[f1175321]) ).
fof(f1175321,plain,
zero != zero,
inference(superposition,[],[f18,f1174319]) ).
fof(f1174319,plain,
! [X0] : zero = meet(composition(sk1,X0),composition(sk1,complement(X0))),
inference(superposition,[],[f733158,f5856]) ).
fof(f5856,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f5855,f5797]) ).
fof(f5797,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f3865,f3733]) ).
fof(f3733,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f3684,f4]) ).
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(f3684,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f19,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
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(f3865,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f3864,f31]) ).
fof(f31,plain,
zero = complement(top),
inference(forward_demodulation,[],[f26,f13]) ).
fof(f26,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(f3864,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f3838,f3861]) ).
fof(f3861,plain,
top = join(top,top),
inference(forward_demodulation,[],[f3860,f35]) ).
fof(f35,plain,
top = join(top,zero),
inference(superposition,[],[f12,f31]) ).
fof(f3860,plain,
join(top,zero) = join(top,top),
inference(forward_demodulation,[],[f3836,f1171]) ).
fof(f1171,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f314]) ).
fof(f314,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f287,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f287,plain,
join(zero,top) = converse(converse(top)),
inference(superposition,[],[f267,f35]) ).
fof(f267,plain,
! [X0,X1] : join(X1,X0) = converse(converse(join(X0,X1))),
inference(forward_demodulation,[],[f266,f8]) ).
fof(f266,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(converse(join(X1,X0))),
inference(forward_demodulation,[],[f232,f9]) ).
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(f232,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = converse(join(converse(X1),converse(X0))),
inference(superposition,[],[f199,f9]) ).
fof(f199,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f70,f9]) ).
fof(f70,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/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
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(f3836,plain,
join(top,zero) = join(zero,join(top,top)),
inference(superposition,[],[f2400,f3748]) ).
fof(f3748,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f3697,f1210]) ).
fof(f1210,plain,
join(top,top) = join(complement(zero),top),
inference(forward_demodulation,[],[f1208,f8]) ).
fof(f1208,plain,
join(complement(zero),top) = converse(converse(join(top,top))),
inference(superposition,[],[f267,f1198]) ).
fof(f1198,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f1170,f12]) ).
fof(f1170,plain,
! [X0] : join(top,X0) = join(top,join(zero,X0)),
inference(superposition,[],[f2,f35]) ).
fof(f3697,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f19,f65]) ).
fof(f65,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f56,f31]) ).
fof(f56,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f36,f12]) ).
fof(f36,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f32,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f31]) ).
fof(f2400,plain,
! [X0,X1] : join(top,X1) = join(join(X1,complement(X0)),X0),
inference(forward_demodulation,[],[f2379,f8]) ).
fof(f2379,plain,
! [X0,X1] : converse(converse(join(top,X1))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f267,f1477]) ).
fof(f1477,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f1143,f1]) ).
fof(f1143,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f3838,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f3748]) ).
fof(f5855,plain,
! [X0] : join(zero,X0) = join(join(zero,X0),zero),
inference(forward_demodulation,[],[f5842,f8]) ).
fof(f5842,plain,
! [X0] : join(join(zero,X0),zero) = converse(converse(join(zero,X0))),
inference(superposition,[],[f267,f3865]) ).
fof(f733158,plain,
! [X0] : zero = join(meet(composition(sk1,X0),composition(sk1,complement(X0))),zero),
inference(forward_demodulation,[],[f733157,f91]) ).
fof(f91,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f27,f4]) ).
fof(f27,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f4,f1]) ).
fof(f733157,plain,
! [X0] : zero = join(meet(composition(sk1,complement(X0)),composition(sk1,X0)),zero),
inference(forward_demodulation,[],[f732946,f386916]) ).
fof(f386916,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f385729,f5856]) ).
fof(f385729,plain,
! [X0] : zero = join(composition(X0,zero),zero),
inference(forward_demodulation,[],[f385728,f385373]) ).
fof(f385373,plain,
zero = composition(top,zero),
inference(superposition,[],[f385346,f5856]) ).
fof(f385346,plain,
zero = join(composition(top,zero),zero),
inference(forward_demodulation,[],[f385345,f12709]) ).
fof(f12709,plain,
composition(top,zero) = converse(composition(zero,top)),
inference(superposition,[],[f8,f12574]) ).
fof(f12574,plain,
converse(composition(top,zero)) = composition(zero,top),
inference(superposition,[],[f4927,f6569]) ).
fof(f6569,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f6568,f31]) ).
fof(f6568,plain,
complement(top) = converse(zero),
inference(forward_demodulation,[],[f6567,f314]) ).
fof(f6567,plain,
converse(zero) = complement(join(zero,top)),
inference(forward_demodulation,[],[f6516,f5869]) ).
fof(f5869,plain,
! [X0] : meet(X0,top) = X0,
inference(superposition,[],[f5797,f5146]) ).
fof(f5146,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(superposition,[],[f5029,f1]) ).
fof(f5029,plain,
! [X0] : join(meet(X0,top),zero) = X0,
inference(forward_demodulation,[],[f5001,f31]) ).
fof(f5001,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f19,f4852]) ).
fof(f4852,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f4837,f1948]) ).
fof(f1948,plain,
! [X0] : join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[],[f1143,f1864]) ).
fof(f1864,plain,
! [X0] : top = join(complement(X0),join(zero,X0)),
inference(superposition,[],[f1691,f1]) ).
fof(f1691,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f1615,f31]) ).
fof(f1615,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f1175,f305]) ).
fof(f305,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f276,f8]) ).
fof(f276,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f267,f12]) ).
fof(f1175,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f12]) ).
fof(f4837,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f4806,f35]) ).
fof(f4806,plain,
! [X0] : join(top,zero) = join(top,X0),
inference(superposition,[],[f3768,f100]) ).
fof(f100,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f88,f31]) ).
fof(f88,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f27,f12]) ).
fof(f3768,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f3725,f1143]) ).
fof(f3725,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(superposition,[],[f2400,f19]) ).
fof(f6516,plain,
complement(join(zero,top)) = meet(converse(zero),top),
inference(superposition,[],[f36,f6458]) ).
fof(f6458,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f6433,f4865]) ).
fof(f4865,plain,
top = converse(top),
inference(superposition,[],[f4837,f124]) ).
fof(f124,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f68,f12]) ).
fof(f68,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f6433,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f8,f5988]) ).
fof(f5988,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f5884,f4865]) ).
fof(f5884,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f5797,f124]) ).
fof(f4927,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[],[f10,f4865]) ).
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(f385345,plain,
zero = join(converse(composition(zero,top)),zero),
inference(forward_demodulation,[],[f385344,f6635]) ).
fof(f6635,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f10,f6569]) ).
fof(f385344,plain,
zero = join(composition(converse(top),zero),zero),
inference(forward_demodulation,[],[f385332,f31]) ).
fof(f385332,plain,
complement(top) = join(composition(converse(top),complement(top)),complement(top)),
inference(superposition,[],[f11,f384939]) ).
fof(f384939,plain,
top = composition(top,top),
inference(superposition,[],[f374471,f4837]) ).
fof(f374471,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(superposition,[],[f7020,f4852]) ).
fof(f7020,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f7,f502]) ).
fof(f502,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f489,f495]) ).
fof(f495,plain,
one = converse(one),
inference(superposition,[],[f489,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f489,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f468,f8]) ).
fof(f468,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f75,f6]) ).
fof(f75,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
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(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(f385728,plain,
! [X0] : composition(top,zero) = join(composition(X0,zero),zero),
inference(forward_demodulation,[],[f385695,f4852]) ).
fof(f385695,plain,
! [X0] : join(composition(X0,zero),zero) = composition(join(X0,top),zero),
inference(superposition,[],[f7,f385373]) ).
fof(f732946,plain,
! [X0] : composition(meet(sk1,composition(composition(sk1,X0),converse(complement(X0)))),zero) = join(meet(composition(sk1,complement(X0)),composition(sk1,X0)),composition(meet(sk1,composition(composition(sk1,X0),converse(complement(X0)))),zero)),
inference(superposition,[],[f14,f446753]) ).
fof(f446753,plain,
! [X0] : zero = meet(complement(X0),composition(converse(sk1),composition(sk1,X0))),
inference(superposition,[],[f14971,f374704]) ).
fof(f374704,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(forward_demodulation,[],[f374703,f502]) ).
fof(f374703,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[],[f374702,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f374702,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(forward_demodulation,[],[f374701,f75]) ).
fof(f374701,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(composition(converse(sk1),sk1)),X0)),
inference(forward_demodulation,[],[f374361,f299761]) ).
fof(f299761,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[],[f299487,f298992]) ).
fof(f298992,plain,
! [X0] : converse(X0) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f298848,f8]) ).
fof(f298848,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f298552,f8]) ).
fof(f298552,plain,
! [X0] : converse(converse(X0)) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f267,f290775]) ).
fof(f290775,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f290774,f5797]) ).
fof(f290774,plain,
! [X0] : join(zero,X0) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f290311,f5989]) ).
fof(f5989,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f5899,f5871]) ).
fof(f5871,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f5797,f5183]) ).
fof(f5183,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f5138,f1]) ).
fof(f5138,plain,
! [X0] : join(meet(top,X0),zero) = X0,
inference(superposition,[],[f5029,f57]) ).
fof(f57,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f36,f33]) ).
fof(f33,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f4,f31]) ).
fof(f5899,plain,
! [X0] : complement(complement(X0)) = meet(top,X0),
inference(superposition,[],[f33,f5797]) ).
fof(f290311,plain,
! [X0] : join(zero,complement(complement(X0))) = join(complement(complement(X0)),complement(converse(complement(converse(X0))))),
inference(superposition,[],[f240897,f156193]) ).
fof(f156193,plain,
! [X0] : zero = meet(complement(X0),complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f156192,f5797]) ).
fof(f156192,plain,
! [X0] : zero = meet(join(zero,complement(X0)),complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f155959,f5869]) ).
fof(f155959,plain,
! [X0] : zero = meet(join(zero,complement(X0)),complement(converse(complement(converse(meet(X0,top)))))),
inference(superposition,[],[f43029,f36]) ).
fof(f43029,plain,
! [X0] : zero = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f42753,f31]) ).
fof(f42753,plain,
! [X0] : complement(top) = meet(X0,complement(converse(complement(converse(complement(X0)))))),
inference(superposition,[],[f6202,f19951]) ).
fof(f19951,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f19950,f4852]) ).
fof(f19950,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(X0,top),
inference(forward_demodulation,[],[f19656,f4865]) ).
fof(f19656,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(X0,converse(top)),
inference(superposition,[],[f18725,f306]) ).
fof(f306,plain,
! [X0] : converse(top) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f279,f8]) ).
fof(f279,plain,
! [X0] : join(converse(complement(converse(X0))),X0) = converse(converse(converse(top))),
inference(superposition,[],[f267,f124]) ).
fof(f18725,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(superposition,[],[f13869,f2]) ).
fof(f13869,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f13800,f8]) ).
fof(f13800,plain,
! [X0,X1] : converse(converse(join(X0,X1))) = join(join(X0,X1),X0),
inference(superposition,[],[f267,f13395]) ).
fof(f13395,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f13358]) ).
fof(f13358,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f13319,f5989]) ).
fof(f13319,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f13318,f502]) ).
fof(f13318,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(forward_demodulation,[],[f13260,f502]) ).
fof(f13260,plain,
! [X0] : complement(X0) = join(composition(one,complement(composition(one,X0))),complement(X0)),
inference(superposition,[],[f11,f495]) ).
fof(f6202,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
inference(superposition,[],[f4,f5989]) ).
fof(f240897,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f240896,f21049]) ).
fof(f21049,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(X2,X0)),
inference(superposition,[],[f14796,f14033]) ).
fof(f14033,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f13883,f1]) ).
fof(f13883,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f13683,f91]) ).
fof(f13683,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f13395,f19]) ).
fof(f14796,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f14648,f2]) ).
fof(f14648,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f8805,f5856]) ).
fof(f8805,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),zero) = X0,
inference(forward_demodulation,[],[f8804,f5989]) ).
fof(f8804,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),zero) = X0,
inference(forward_demodulation,[],[f8756,f31]) ).
fof(f8756,plain,
! [X0,X1] : join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[],[f19,f7551]) ).
fof(f7551,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f6272,f2]) ).
fof(f6272,plain,
! [X0,X1] : top = join(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f6227,f4837]) ).
fof(f6227,plain,
! [X0,X1] : join(top,X1) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f1501,f5989]) ).
fof(f1501,plain,
! [X0,X1] : join(top,X1) = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f1487,f8]) ).
fof(f1487,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = converse(converse(join(top,X1))),
inference(superposition,[],[f267,f1143]) ).
fof(f240896,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(meet(X0,X1),join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f240085,f91]) ).
fof(f240085,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(superposition,[],[f3713,f19]) ).
fof(f3713,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f19,f1]) ).
fof(f299487,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(superposition,[],[f14086,f298889]) ).
fof(f298889,plain,
! [X0] : meet(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f298673,f5989]) ).
fof(f298673,plain,
! [X0] : complement(complement(X0)) = meet(X0,converse(complement(converse(complement(X0))))),
inference(superposition,[],[f4,f290775]) ).
fof(f14086,plain,
! [X0,X1] : join(X1,converse(meet(X0,converse(X1)))) = X1,
inference(forward_demodulation,[],[f14061,f8]) ).
fof(f14061,plain,
! [X0,X1] : converse(converse(X1)) = join(X1,converse(meet(X0,converse(X1)))),
inference(superposition,[],[f125,f13883]) ).
fof(f125,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(X1,converse(X0))),
inference(superposition,[],[f68,f1]) ).
fof(f374361,plain,
! [X0] : composition(one,X0) = join(X0,composition(complement(converse(complement(composition(converse(sk1),sk1)))),X0)),
inference(superposition,[],[f7020,f298910]) ).
fof(f298910,plain,
one = join(one,complement(converse(complement(composition(converse(sk1),sk1))))),
inference(forward_demodulation,[],[f298909,f17]) ).
fof(f17,axiom,
one = join(composition(converse(sk1),sk1),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f298909,plain,
join(composition(converse(sk1),sk1),one) = join(one,complement(converse(complement(composition(converse(sk1),sk1))))),
inference(forward_demodulation,[],[f298714,f75]) ).
fof(f298714,plain,
join(composition(converse(sk1),sk1),one) = join(one,complement(converse(complement(converse(composition(converse(sk1),sk1)))))),
inference(superposition,[],[f209260,f290775]) ).
fof(f209260,plain,
! [X0] : join(one,X0) = join(join(composition(converse(sk1),sk1),X0),one),
inference(forward_demodulation,[],[f209057,f8]) ).
fof(f209057,plain,
! [X0] : converse(converse(join(one,X0))) = join(join(composition(converse(sk1),sk1),X0),one),
inference(superposition,[],[f267,f1156]) ).
fof(f1156,plain,
! [X0] : join(one,X0) = join(one,join(composition(converse(sk1),sk1),X0)),
inference(superposition,[],[f2,f20]) ).
fof(f20,plain,
one = join(one,composition(converse(sk1),sk1)),
inference(superposition,[],[f17,f1]) ).
fof(f14971,plain,
! [X0,X1] : zero = meet(complement(join(X1,X0)),X0),
inference(superposition,[],[f10386,f14648]) ).
fof(f10386,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X1,X0)),
inference(forward_demodulation,[],[f10385,f5797]) ).
fof(f10385,plain,
! [X0,X1] : zero = meet(join(zero,complement(X0)),meet(X1,X0)),
inference(forward_demodulation,[],[f10335,f5869]) ).
fof(f10335,plain,
! [X0,X1] : zero = meet(join(zero,complement(X0)),meet(X1,meet(X0,top))),
inference(superposition,[],[f9799,f36]) ).
fof(f9799,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[],[f9740,f31]) ).
fof(f9740,plain,
! [X0,X1] : complement(top) = meet(X0,meet(X1,complement(X0))),
inference(superposition,[],[f4,f8552]) ).
fof(f8552,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(superposition,[],[f7461,f91]) ).
fof(f7461,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f6272,f19]) ).
fof(f14,axiom,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dedekind_law_14) ).
fof(f18,axiom,
zero != meet(composition(sk1,sk2),composition(sk1,complement(sk2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL041-2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:14:26 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (9521)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9524)WARNING: value z3 for option sas not known
% 0.13/0.37 % (9525)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (9526)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)
% 0.13/0.37 % (9528)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)
% 0.13/0.37 % (9524)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)
% 0.13/0.37 % (9527)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)
% 0.13/0.37 % (9523)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (9522)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.19/0.40 TRYING [3]
% 0.19/0.42 TRYING [3]
% 0.19/0.46 TRYING [4]
% 1.23/0.54 TRYING [4]
% 2.08/0.69 TRYING [5]
% 7.80/1.48 TRYING [1]
% 7.80/1.48 TRYING [2]
% 7.80/1.49 TRYING [3]
% 8.38/1.54 TRYING [5]
% 8.38/1.56 TRYING [4]
% 9.19/1.67 TRYING [6]
% 10.54/1.85 TRYING [5]
% 18.10/2.96 TRYING [6]
% 35.29/5.39 TRYING [7]
% 49.92/7.54 TRYING [7]
% 120.89/17.77 TRYING [8]
% 132.63/19.46 % (9528)First to succeed.
% 133.00/19.48 % (9528)Refutation found. Thanks to Tanya!
% 133.00/19.48 % SZS status Unsatisfiable for theBenchmark
% 133.00/19.48 % SZS output start Proof for theBenchmark
% See solution above
% 133.00/19.48 % (9528)------------------------------
% 133.00/19.48 % (9528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 133.00/19.48 % (9528)Termination reason: Refutation
% 133.00/19.48
% 133.00/19.48 % (9528)Memory used [KB]: 227364
% 133.00/19.48 % (9528)Time elapsed: 19.091 s
% 133.00/19.48 % (9528)Instructions burned: 50016 (million)
% 133.00/19.48 % (9528)------------------------------
% 133.00/19.48 % (9528)------------------------------
% 133.00/19.48 % (9521)Success in time 19.073 s
%------------------------------------------------------------------------------