TSTP Solution File: REL023-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n023.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 : Thu Aug 31 13:45:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 64 (; 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3445,plain,
$false,
inference(trivial_inequality_removal,[],[f3444]) ).
fof(f3444,plain,
composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(backward_demodulation,[],[f21,f3432]) ).
fof(f3432,plain,
! [X8,X9,X7] : composition(X7,X9) = join(composition(X7,X9),composition(meet(X7,X8),X9)),
inference(superposition,[],[f7,f2915]) ).
fof(f2915,plain,
! [X31,X30] : join(X30,meet(X30,X31)) = X30,
inference(forward_demodulation,[],[f2821,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',maddux1_join_commutativity_1) ).
fof(f2821,plain,
! [X31,X30] : join(meet(X30,X31),X30) = X30,
inference(superposition,[],[f2103,f1196]) ).
fof(f1196,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f1182,f1]) ).
fof(f1182,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f18,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',maddux4_definiton_of_meet_4) ).
fof(f18,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f17,f1]) ).
fof(f17,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f16,f4]) ).
fof(f16,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',maddux3_a_kind_of_de_Morgan_3) ).
fof(f2103,plain,
! [X2,X3] : join(X2,X3) = join(X2,join(X2,X3)),
inference(superposition,[],[f2,f2074]) ).
fof(f2074,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f2059,f1607]) ).
fof(f1607,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1606,f1177]) ).
fof(f1177,plain,
! [X21,X22] : join(meet(X21,complement(complement(X21))),complement(join(X22,complement(X22)))) = X21,
inference(superposition,[],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X1,complement(X1)),
inference(superposition,[],[f12,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',def_top_12) ).
fof(f1606,plain,
! [X0,X1] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),complement(join(X1,complement(X1)))),
inference(forward_demodulation,[],[f1587,f52]) ).
fof(f52,plain,
! [X6,X5] : meet(X5,X6) = meet(X6,X5),
inference(forward_demodulation,[],[f44,f4]) ).
fof(f44,plain,
! [X6,X5] : meet(X5,X6) = complement(join(complement(X6),complement(X5))),
inference(superposition,[],[f4,f1]) ).
fof(f1587,plain,
! [X0,X1] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),complement(join(X1,complement(X1)))),
inference(superposition,[],[f1412,f41]) ).
fof(f41,plain,
! [X0,X1] : meet(X0,complement(X0)) = complement(join(X1,complement(X1))),
inference(superposition,[],[f4,f19]) ).
fof(f1412,plain,
! [X8,X7] : join(meet(X7,X8),meet(complement(X8),X7)) = X7,
inference(superposition,[],[f1196,f52]) ).
fof(f2059,plain,
! [X6] : complement(X6) = join(complement(X6),complement(X6)),
inference(forward_demodulation,[],[f2058,f159]) ).
fof(f159,plain,
! [X4] : composition(one,X4) = X4,
inference(backward_demodulation,[],[f152,f156]) ).
fof(f156,plain,
one = converse(one),
inference(superposition,[],[f152,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',composition_identity_6) ).
fof(f152,plain,
! [X4] : composition(converse(one),X4) = X4,
inference(superposition,[],[f145,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',converse_idempotence_8) ).
fof(f145,plain,
! [X0] : converse(X0) = composition(converse(one),converse(X0)),
inference(superposition,[],[f10,f6]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',converse_multiplicativity_10) ).
fof(f2058,plain,
! [X6] : complement(X6) = join(complement(X6),complement(composition(one,X6))),
inference(forward_demodulation,[],[f2040,f159]) ).
fof(f2040,plain,
! [X6] : complement(X6) = join(complement(X6),composition(one,complement(composition(one,X6)))),
inference(superposition,[],[f15,f156]) ).
fof(f15,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',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.gLBs3W48u6/Vampire---4.8_24085',maddux2_join_associativity_2) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085',composition_distributivity_7) ).
fof(f21,plain,
composition(sk1,meet(sk2,sk3)) != join(composition(sk1,meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))),
inference(superposition,[],[f14,f1]) ).
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.gLBs3W48u6/Vampire---4.8_24085',goals_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 22:15:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.gLBs3W48u6/Vampire---4.8_24085
% 0.14/0.35 % (24192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (24197)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.41 % (24195)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.21/0.41 % (24194)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.21/0.41 % (24198)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.21/0.41 % (24196)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.21/0.41 % (24199)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.21/0.42 % (24193)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.21/0.51 % (24199)First to succeed.
% 0.21/0.51 % (24199)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.51 % (24199)------------------------------
% 0.21/0.51 % (24199)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.51 % (24199)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.51 % (24199)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (24199)Memory used [KB]: 3454
% 0.21/0.51 % (24199)Time elapsed: 0.096 s
% 0.21/0.51 % (24199)------------------------------
% 0.21/0.51 % (24199)------------------------------
% 0.21/0.51 % (24192)Success in time 0.155 s
% 0.21/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------