TSTP Solution File: GEO089-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n018.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 : Wed Aug 30 23:30:48 EDT 2023
% Result : Unsatisfiable 21.66s 3.46s
% Output : Refutation 21.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 74 ( 18 unt; 0 def)
% Number of atoms : 145 ( 4 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 135 ( 64 ~; 63 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75222,plain,
$false,
inference(avatar_sat_refutation,[],[f63425,f63437,f63442,f63465,f63470,f70826,f70965,f75095,f75221]) ).
fof(f75221,plain,
( ~ spl0_7483
| spl0_8144 ),
inference(avatar_contradiction_clause,[],[f75220]) ).
fof(f75220,plain,
( $false
| ~ spl0_7483
| spl0_8144 ),
inference(subsumption_resolution,[],[f75151,f63464]) ).
fof(f63464,plain,
( incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),ax0_sk10(sk15,sk16))
| ~ spl0_7483 ),
inference(avatar_component_clause,[],[f63462]) ).
fof(f63462,plain,
( spl0_7483
<=> incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),ax0_sk10(sk15,sk16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7483])]) ).
fof(f75151,plain,
( ~ incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),ax0_sk10(sk15,sk16))
| spl0_8144 ),
inference(unit_resulting_resolution,[],[f70964,f2096]) ).
fof(f2096,plain,
! [X5] :
( ~ incident_c(X5,ax0_sk10(sk15,sk16))
| incident_c(X5,sk16) ),
inference(superposition,[],[f53,f2074]) ).
fof(f2074,plain,
sk16 = sum(ax0_sk9(sk15,sk16),ax0_sk10(sk15,sk16)),
inference(unit_resulting_resolution,[],[f50,f39]) ).
fof(f39,axiom,
! [X0,X1] :
( sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',c4_39) ).
fof(f50,axiom,
inner_point(sk15,sk16),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',corollary_2_11_68) ).
fof(f53,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X2)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',sum_defn_6) ).
fof(f70964,plain,
( ~ incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk16)
| spl0_8144 ),
inference(avatar_component_clause,[],[f70962]) ).
fof(f70962,plain,
( spl0_8144
<=> incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8144])]) ).
fof(f75095,plain,
( ~ spl0_7481
| spl0_8129 ),
inference(avatar_split_clause,[],[f75023,f70823,f63434]) ).
fof(f63434,plain,
( spl0_7481
<=> incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),ax0_sk9(sk15,sk16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7481])]) ).
fof(f70823,plain,
( spl0_8129
<=> incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8129])]) ).
fof(f75023,plain,
( ~ incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),ax0_sk9(sk15,sk16))
| spl0_8129 ),
inference(unit_resulting_resolution,[],[f70825,f2098]) ).
fof(f2098,plain,
! [X6] :
( ~ incident_c(X6,ax0_sk9(sk15,sk16))
| incident_c(X6,sk16) ),
inference(superposition,[],[f52,f2074]) ).
fof(f52,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',sum_defn_5) ).
fof(f70825,plain,
( ~ incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk16)
| spl0_8129 ),
inference(avatar_component_clause,[],[f70823]) ).
fof(f70965,plain,
( ~ spl0_8144
| spl0_7484 ),
inference(avatar_split_clause,[],[f70937,f63467,f70962]) ).
fof(f63467,plain,
( spl0_7484
<=> incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7484])]) ).
fof(f70937,plain,
( ~ incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk16)
| spl0_7484 ),
inference(unit_resulting_resolution,[],[f49,f63469,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',part_of_defn_1) ).
fof(f63469,plain,
( ~ incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk14)
| spl0_7484 ),
inference(avatar_component_clause,[],[f63467]) ).
fof(f49,axiom,
part_of(sk16,sk14),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',corollary_2_11_67) ).
fof(f70826,plain,
( ~ spl0_8129
| spl0_7482 ),
inference(avatar_split_clause,[],[f70798,f63439,f70823]) ).
fof(f63439,plain,
( spl0_7482
<=> incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7482])]) ).
fof(f70798,plain,
( ~ incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk16)
| spl0_7482 ),
inference(unit_resulting_resolution,[],[f49,f63441,f1]) ).
fof(f63441,plain,
( ~ incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk14)
| spl0_7482 ),
inference(avatar_component_clause,[],[f63439]) ).
fof(f63470,plain,
( ~ spl0_7484
| spl0_7462 ),
inference(avatar_split_clause,[],[f63458,f63038,f63467]) ).
fof(f63038,plain,
( spl0_7462
<=> part_of(ax0_sk10(sk15,sk16),sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7462])]) ).
fof(f63458,plain,
( ~ incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),sk14)
| spl0_7462 ),
inference(unit_resulting_resolution,[],[f63039,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',part_of_defn_3) ).
fof(f63039,plain,
( ~ part_of(ax0_sk10(sk15,sk16),sk14)
| spl0_7462 ),
inference(avatar_component_clause,[],[f63038]) ).
fof(f63465,plain,
( spl0_7483
| spl0_7462 ),
inference(avatar_split_clause,[],[f63459,f63038,f63462]) ).
fof(f63459,plain,
( incident_c(ax0_sk1(ax0_sk10(sk15,sk16),sk14),ax0_sk10(sk15,sk16))
| spl0_7462 ),
inference(unit_resulting_resolution,[],[f63039,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',part_of_defn_2) ).
fof(f63442,plain,
( ~ spl0_7482
| spl0_7460 ),
inference(avatar_split_clause,[],[f63430,f63030,f63439]) ).
fof(f63030,plain,
( spl0_7460
<=> part_of(ax0_sk9(sk15,sk16),sk14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7460])]) ).
fof(f63430,plain,
( ~ incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),sk14)
| spl0_7460 ),
inference(unit_resulting_resolution,[],[f63031,f3]) ).
fof(f63031,plain,
( ~ part_of(ax0_sk9(sk15,sk16),sk14)
| spl0_7460 ),
inference(avatar_component_clause,[],[f63030]) ).
fof(f63437,plain,
( spl0_7481
| spl0_7460 ),
inference(avatar_split_clause,[],[f63431,f63030,f63434]) ).
fof(f63431,plain,
( incident_c(ax0_sk1(ax0_sk9(sk15,sk16),sk14),ax0_sk9(sk15,sk16))
| spl0_7460 ),
inference(unit_resulting_resolution,[],[f63031,f2]) ).
fof(f63425,plain,
( ~ spl0_7460
| ~ spl0_7462 ),
inference(avatar_contradiction_clause,[],[f63424]) ).
fof(f63424,plain,
( $false
| ~ spl0_7460
| ~ spl0_7462 ),
inference(subsumption_resolution,[],[f63403,f63040]) ).
fof(f63040,plain,
( part_of(ax0_sk10(sk15,sk16),sk14)
| ~ spl0_7462 ),
inference(avatar_component_clause,[],[f63038]) ).
fof(f63403,plain,
( ~ part_of(ax0_sk10(sk15,sk16),sk14)
| ~ spl0_7460 ),
inference(unit_resulting_resolution,[],[f829,f1374,f1373,f4407,f4370,f63032,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| part_of(X2,X3)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',end_point_defn_14) ).
fof(f63032,plain,
( part_of(ax0_sk9(sk15,sk16),sk14)
| ~ spl0_7460 ),
inference(avatar_component_clause,[],[f63030]) ).
fof(f4370,plain,
~ part_of(ax0_sk9(sk15,sk16),ax0_sk10(sk15,sk16)),
inference(unit_resulting_resolution,[],[f57,f2973,f1]) ).
fof(f2973,plain,
~ incident_c(ax0_sk8(ax0_sk9(sk15,sk16)),ax0_sk10(sk15,sk16)),
inference(unit_resulting_resolution,[],[f57,f59,f1369,f26]) ).
fof(f26,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X1)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',meet_defn_26) ).
fof(f1369,plain,
meet(sk15,ax0_sk9(sk15,sk16),ax0_sk10(sk15,sk16)),
inference(unit_resulting_resolution,[],[f50,f38]) ).
fof(f38,axiom,
! [X0,X1] :
( meet(X0,ax0_sk9(X0,X1),ax0_sk10(X0,X1))
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',c4_38) ).
fof(f59,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(unit_resulting_resolution,[],[f37,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',inner_point_defn_22) ).
fof(f37,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',c3_37) ).
fof(f57,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(unit_resulting_resolution,[],[f37,f21]) ).
fof(f21,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',inner_point_defn_21) ).
fof(f4407,plain,
~ part_of(ax0_sk10(sk15,sk16),ax0_sk9(sk15,sk16)),
inference(unit_resulting_resolution,[],[f57,f3569,f1]) ).
fof(f3569,plain,
~ incident_c(ax0_sk8(ax0_sk10(sk15,sk16)),ax0_sk9(sk15,sk16)),
inference(unit_resulting_resolution,[],[f59,f57,f1369,f27]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',meet_defn_27) ).
fof(f1373,plain,
incident_c(sk15,ax0_sk10(sk15,sk16)),
inference(unit_resulting_resolution,[],[f1369,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',meet_defn_25) ).
fof(f1374,plain,
incident_c(sk15,ax0_sk9(sk15,sk16)),
inference(unit_resulting_resolution,[],[f1369,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',meet_defn_24) ).
fof(f829,plain,
end_point(sk15,sk14),
inference(unit_resulting_resolution,[],[f645,f51,f23]) ).
fof(f23,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',inner_point_defn_23) ).
fof(f51,axiom,
~ inner_point(sk15,sk14),
file('/export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253',corollary_2_11_69) ).
fof(f645,plain,
incident_c(sk15,sk14),
inference(unit_resulting_resolution,[],[f49,f56,f1]) ).
fof(f56,plain,
incident_c(sk15,sk16),
inference(unit_resulting_resolution,[],[f50,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n018.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 : Wed Aug 30 00:06:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.W59a2C5OtJ/Vampire---4.8_27253
% 0.13/0.35 % (27363)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (27368)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.19/0.41 % (27365)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.19/0.41 % (27376)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.19/0.41 % (27377)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.19/0.41 % (27373)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.41 % (27370)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.19/0.41 % (27372)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 21.22/3.43 % (27373)First to succeed.
% 21.66/3.46 % (27373)Refutation found. Thanks to Tanya!
% 21.66/3.46 % SZS status Unsatisfiable for Vampire---4
% 21.66/3.46 % SZS output start Proof for Vampire---4
% See solution above
% 21.66/3.46 % (27373)------------------------------
% 21.66/3.46 % (27373)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 21.66/3.46 % (27373)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 21.66/3.46 % (27373)Termination reason: Refutation
% 21.66/3.46
% 21.66/3.46 % (27373)Memory used [KB]: 73943
% 21.66/3.46 % (27373)Time elapsed: 3.038 s
% 21.66/3.46 % (27373)------------------------------
% 21.66/3.46 % (27373)------------------------------
% 21.66/3.46 % (27363)Success in time 3.075 s
% 21.66/3.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------