TSTP Solution File: REL001-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL001-1 : 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 : n028.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 13:44:36 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 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 : 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 : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f803,plain,
$false,
inference(subsumption_resolution,[],[f801,f17]) ).
fof(f17,plain,
sk1 != sF0,
inference(definition_folding,[],[f14,f16]) ).
fof(f16,plain,
join(zero,sk1) = sF0,
introduced(function_definition,[]) ).
fof(f14,axiom,
sk1 != join(zero,sk1),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',goals_14) ).
fof(f801,plain,
sk1 = sF0,
inference(backward_demodulation,[],[f16,f788]) ).
fof(f788,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f640,f652]) ).
fof(f652,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f645,f640]) ).
fof(f645,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(backward_demodulation,[],[f481,f640]) ).
fof(f481,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f480,f18]) ).
fof(f18,plain,
zero = complement(top),
inference(forward_demodulation,[],[f15,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',def_top_12) ).
fof(f15,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',maddux4_definiton_of_meet_4) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',def_zero_13) ).
fof(f480,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f476,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',maddux1_join_commutativity_1) ).
fof(f476,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(top)) = X0,
inference(backward_demodulation,[],[f371,f475]) ).
fof(f475,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f467,f12]) ).
fof(f467,plain,
! [X1] : join(top,complement(X1)) = join(X1,complement(X1)),
inference(superposition,[],[f67,f392]) ).
fof(f392,plain,
! [X1] : complement(X1) = join(complement(X1),complement(X1)),
inference(forward_demodulation,[],[f381,f390]) ).
fof(f390,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f343,f378]) ).
fof(f378,plain,
one = converse(one),
inference(superposition,[],[f343,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',composition_identity_6) ).
fof(f343,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f323,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',converse_idempotence_8) ).
fof(f323,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f60,f6]) ).
fof(f60,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.abugg3NuvD/Vampire---4.8_2026',converse_multiplicativity_10) ).
fof(f381,plain,
! [X1] : complement(X1) = join(complement(X1),complement(composition(one,X1))),
inference(superposition,[],[f19,f343]) ).
fof(f19,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.abugg3NuvD/Vampire---4.8_2026',converse_cancellativity_11) ).
fof(f67,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026',maddux2_join_associativity_2) ).
fof(f371,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f370,f1]) ).
fof(f370,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f369,f1]) ).
fof(f369,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f368,f1]) ).
fof(f368,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f367,f1]) ).
fof(f367,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f20,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.abugg3NuvD/Vampire---4.8_2026',maddux3_a_kind_of_de_Morgan_3) ).
fof(f640,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f481,f393]) ).
fof(f393,plain,
! [X2] : join(zero,complement(complement(X2))) = X2,
inference(backward_demodulation,[],[f376,f392]) ).
fof(f376,plain,
! [X2] : join(zero,complement(join(complement(X2),complement(X2)))) = X2,
inference(forward_demodulation,[],[f375,f18]) ).
fof(f375,plain,
! [X2] : join(complement(top),complement(join(complement(X2),complement(X2)))) = X2,
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
! [X2] : join(complement(join(complement(X2),complement(X2))),complement(top)) = X2,
inference(superposition,[],[f20,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 19:33:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.abugg3NuvD/Vampire---4.8_2026
% 0.15/0.36 % (2155)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2169)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)
% 0.22/0.42 % (2168)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.22/0.42 % (2172)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)
% 0.22/0.42 % (2171)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)
% 0.22/0.42 % (2163)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.22/0.42 % (2178)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)
% 0.22/0.42 % (2156)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)
% 0.22/0.44 % (2156)First to succeed.
% 0.22/0.44 % (2156)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (2156)------------------------------
% 0.22/0.44 % (2156)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (2156)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (2156)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (2156)Memory used [KB]: 1663
% 0.22/0.44 % (2156)Time elapsed: 0.019 s
% 0.22/0.44 % (2156)------------------------------
% 0.22/0.44 % (2156)------------------------------
% 0.22/0.44 % (2155)Success in time 0.077 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------