TSTP Solution File: REL023-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Fri Sep 1 21:56:43 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 80 unt; 0 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 88 (; 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7141,plain,
$false,
inference(trivial_inequality_removal,[],[f7140]) ).
fof(f7140,plain,
composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(backward_demodulation,[],[f651,f7086]) ).
fof(f7086,plain,
! [X2,X3] : join(X2,meet(X2,X3)) = X2,
inference(superposition,[],[f6951,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',maddux1_join_commutativity_1) ).
fof(f6951,plain,
! [X59,X60] : join(meet(X59,X60),X59) = X59,
inference(superposition,[],[f1522,f15]) ).
fof(f15,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',maddux4_definiton_of_meet_4) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',maddux3_a_kind_of_de_Morgan_3) ).
fof(f1522,plain,
! [X3,X4] : join(X3,X4) = join(X3,join(X3,X4)),
inference(superposition,[],[f2,f1508]) ).
fof(f1508,plain,
! [X2] : join(X2,X2) = X2,
inference(superposition,[],[f1429,f1225]) ).
fof(f1225,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f690,f1150]) ).
fof(f1150,plain,
! [X1] : meet(X1,X1) = X1,
inference(superposition,[],[f1041,f404]) ).
fof(f404,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f382,f4]) ).
fof(f382,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f15,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',def_zero_13) ).
fof(f1041,plain,
! [X2] : join(zero,X2) = X2,
inference(superposition,[],[f563,f404]) ).
fof(f563,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f535,f23]) ).
fof(f23,plain,
zero = complement(top),
inference(forward_demodulation,[],[f18,f13]) ).
fof(f18,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/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',def_top_12) ).
fof(f535,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(backward_demodulation,[],[f477,f529]) ).
fof(f529,plain,
top = join(top,top),
inference(forward_demodulation,[],[f528,f367]) ).
fof(f367,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f335,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',converse_idempotence_8) ).
fof(f335,plain,
! [X0] : join(complement(X0),X0) = converse(converse(top)),
inference(superposition,[],[f324,f12]) ).
fof(f324,plain,
! [X11,X12] : join(X11,X12) = converse(converse(join(X12,X11))),
inference(forward_demodulation,[],[f323,f9]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',converse_additivity_9) ).
fof(f323,plain,
! [X11,X12] : join(X11,X12) = converse(join(converse(X12),converse(X11))),
inference(forward_demodulation,[],[f287,f8]) ).
fof(f287,plain,
! [X11,X12] : converse(join(converse(X12),converse(X11))) = converse(converse(join(X11,X12))),
inference(superposition,[],[f249,f9]) ).
fof(f249,plain,
! [X2,X3] : converse(join(X2,X3)) = converse(join(X3,X2)),
inference(superposition,[],[f40,f9]) ).
fof(f40,plain,
! [X2,X3] : join(converse(X3),converse(X2)) = converse(join(X2,X3)),
inference(superposition,[],[f9,f1]) ).
fof(f528,plain,
join(top,top) = join(complement(zero),zero),
inference(forward_demodulation,[],[f527,f23]) ).
fof(f527,plain,
join(top,top) = join(complement(zero),complement(top)),
inference(forward_demodulation,[],[f526,f478]) ).
fof(f478,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f475,f27]) ).
fof(f27,plain,
top = join(top,zero),
inference(superposition,[],[f12,f23]) ).
fof(f475,plain,
join(top,zero) = join(top,complement(join(top,top))),
inference(superposition,[],[f99,f417]) ).
fof(f417,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f416,f124]) ).
fof(f124,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f99,f12]) ).
fof(f416,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f389,f1]) ).
fof(f389,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f15,f63]) ).
fof(f63,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f54,f23]) ).
fof(f54,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f28,f12]) ).
fof(f28,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f24,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f23]) ).
fof(f99,plain,
! [X16] : join(top,join(zero,X16)) = join(top,X16),
inference(superposition,[],[f2,f27]) ).
fof(f526,plain,
join(top,top) = join(complement(zero),complement(join(top,complement(join(top,top))))),
inference(forward_demodulation,[],[f523,f1]) ).
fof(f523,plain,
join(top,top) = join(complement(zero),complement(join(complement(join(top,top)),top))),
inference(superposition,[],[f15,f473]) ).
fof(f473,plain,
complement(zero) = meet(join(top,top),top),
inference(superposition,[],[f28,f417]) ).
fof(f477,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f417]) ).
fof(f690,plain,
! [X2,X1] : meet(X1,X2) = complement(complement(meet(X2,X1))),
inference(backward_demodulation,[],[f19,f686]) ).
fof(f686,plain,
! [X2,X3] : join(complement(X2),complement(X3)) = complement(meet(X2,X3)),
inference(forward_demodulation,[],[f685,f411]) ).
fof(f411,plain,
! [X5] : complement(X5) = join(zero,complement(join(X5,complement(complement(X5))))),
inference(forward_demodulation,[],[f386,f1]) ).
fof(f386,plain,
! [X5] : complement(X5) = join(zero,complement(join(complement(complement(X5)),X5))),
inference(superposition,[],[f15,f92]) ).
fof(f92,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f80,f23]) ).
fof(f80,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f19,f12]) ).
fof(f685,plain,
! [X2,X3] : join(complement(X2),complement(X3)) = join(zero,complement(join(meet(X2,X3),complement(complement(meet(X2,X3)))))),
inference(forward_demodulation,[],[f684,f1]) ).
fof(f684,plain,
! [X2,X3] : join(complement(X2),complement(X3)) = join(zero,complement(join(complement(complement(meet(X2,X3))),meet(X2,X3)))),
inference(forward_demodulation,[],[f683,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f683,plain,
! [X2,X3] : join(complement(X2),complement(X3)) = join(zero,meet(complement(meet(X2,X3)),join(complement(X2),complement(X3)))),
inference(forward_demodulation,[],[f673,f83]) ).
fof(f83,plain,
! [X2,X3] : meet(X2,X3) = meet(X3,X2),
inference(superposition,[],[f19,f4]) ).
fof(f673,plain,
! [X2,X3] : join(complement(X2),complement(X3)) = join(zero,meet(join(complement(X2),complement(X3)),complement(meet(X2,X3)))),
inference(superposition,[],[f601,f4]) ).
fof(f601,plain,
! [X1] : join(zero,meet(X1,complement(complement(X1)))) = X1,
inference(superposition,[],[f420,f1]) ).
fof(f420,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f396,f23]) ).
fof(f396,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f15,f12]) ).
fof(f19,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f4,f1]) ).
fof(f1429,plain,
! [X1] : complement(X1) = join(complement(X1),complement(X1)),
inference(forward_demodulation,[],[f1418,f1427]) ).
fof(f1427,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f1404,f1415]) ).
fof(f1415,plain,
one = converse(one),
inference(superposition,[],[f1404,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',composition_identity_6) ).
fof(f1404,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f1381,f8]) ).
fof(f1381,plain,
! [X2] : converse(converse(X2)) = composition(converse(one),X2),
inference(superposition,[],[f67,f6]) ).
fof(f67,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/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',converse_multiplicativity_10) ).
fof(f1418,plain,
! [X1] : complement(X1) = join(complement(composition(one,X1)),complement(X1)),
inference(superposition,[],[f11,f1404]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',converse_cancellativity_11) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',maddux2_join_associativity_2) ).
fof(f651,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)),
inference(forward_demodulation,[],[f638,f1]) ).
fof(f638,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3)),
inference(superposition,[],[f14,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',composition_distributivity_7) ).
fof(f14,axiom,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
file('/export/starexec/sandbox2/tmp/tmp.GfBjoGH5FU/Vampire---4.8_18573',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36 % Computer : n024.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 30 15:21:22 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.19/0.44 % (18712)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.44 % (18717)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.44 % (18714)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.44 % (18716)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.44 % (18713)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.44 % (18718)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.44 % (18715)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.44 % (18719)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.45 TRYING [1]
% 0.19/0.45 TRYING [2]
% 0.19/0.45 TRYING [1]
% 0.19/0.45 TRYING [3]
% 0.19/0.45 TRYING [2]
% 0.19/0.46 TRYING [3]
% 0.19/0.46 TRYING [4]
% 0.19/0.52 TRYING [5]
% 0.19/0.53 TRYING [4]
% 0.19/0.63 TRYING [1]
% 0.19/0.63 TRYING [2]
% 0.19/0.63 TRYING [3]
% 0.19/0.63 % (18718)First to succeed.
% 0.19/0.64 % (18718)Refutation found. Thanks to Tanya!
% 0.19/0.64 % SZS status Unsatisfiable for Vampire---4
% 0.19/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.64 % (18718)------------------------------
% 0.19/0.64 % (18718)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.64 % (18718)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.64 % (18718)Termination reason: Refutation
% 0.19/0.64
% 0.19/0.64 % (18718)Memory used [KB]: 7036
% 0.19/0.64 % (18718)Time elapsed: 0.193 s
% 0.19/0.64 % (18718)------------------------------
% 0.19/0.64 % (18718)------------------------------
% 0.19/0.64 % (18712)Success in time 0.272 s
% 0.19/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------