TSTP Solution File: GEO147+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO147+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 : n029.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 23:31:12 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 29 ~; 23 |; 12 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 55 (; 49 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f376,plain,
$false,
inference(avatar_sat_refutation,[],[f298,f364,f375]) ).
fof(f375,plain,
spl32_2,
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| spl32_2 ),
inference(subsumption_resolution,[],[f368,f355]) ).
fof(f355,plain,
once(at(sK2,sK0)),
inference(unit_resulting_resolution,[],[f299,f200]) ).
fof(f200,plain,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( once(X1)
& once(X0) )
| ~ once(at_the_same_time(X0,X1)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
=> ( once(X1)
& once(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X13,X14] :
( once(at_the_same_time(X13,X14))
=> ( once(X14)
& once(X13) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542',conjunction_at_the_same_time) ).
fof(f299,plain,
once(at_the_same_time(at(sK1,sK0),at(sK2,sK0))),
inference(unit_resulting_resolution,[],[f182,f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(unused_predicate_definition_removal,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542',connect_defn) ).
fof(f182,plain,
connect(sK1,sK2,sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ~ incident_o(sK0,trajectory_of(sK2))
| ~ incident_o(sK0,trajectory_of(sK1)) )
& connect(sK1,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f76,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( ( ~ incident_o(X0,trajectory_of(X2))
| ~ incident_o(X0,trajectory_of(X1)) )
& connect(X1,X2,X0) )
=> ( ( ~ incident_o(sK0,trajectory_of(sK2))
| ~ incident_o(sK0,trajectory_of(sK1)) )
& connect(sK1,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1,X2] :
( ( ~ incident_o(X0,trajectory_of(X2))
| ~ incident_o(X0,trajectory_of(X1)) )
& connect(X1,X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X2))
& incident_o(X0,trajectory_of(X1)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ( incident_o(X2,trajectory_of(X12))
& incident_o(X2,trajectory_of(X11)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ( incident_o(X2,trajectory_of(X12))
& incident_o(X2,trajectory_of(X11)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542',t13) ).
fof(f368,plain,
( ~ once(at(sK2,sK0))
| spl32_2 ),
inference(unit_resulting_resolution,[],[f297,f227]) ).
fof(f227,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( once(at(X0,X1))
| ~ incident_o(X1,trajectory_of(X0)) )
& ( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( once(at(X0,X1))
<=> incident_o(X1,trajectory_of(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X11,X2] :
( once(at(X11,X2))
<=> incident_o(X2,trajectory_of(X11)) ),
file('/export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542',at_on_trajectory) ).
fof(f297,plain,
( ~ incident_o(sK0,trajectory_of(sK2))
| spl32_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl32_2
<=> incident_o(sK0,trajectory_of(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f364,plain,
spl32_1,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| spl32_1 ),
inference(subsumption_resolution,[],[f351,f308]) ).
fof(f308,plain,
( ! [X0] : ~ once(at_the_same_time(X0,at(sK1,sK0)))
| spl32_1 ),
inference(unit_resulting_resolution,[],[f300,f200]) ).
fof(f300,plain,
( ~ once(at(sK1,sK0))
| spl32_1 ),
inference(unit_resulting_resolution,[],[f293,f227]) ).
fof(f293,plain,
( ~ incident_o(sK0,trajectory_of(sK1))
| spl32_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl32_1
<=> incident_o(sK0,trajectory_of(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f351,plain,
once(at_the_same_time(at(sK2,sK0),at(sK1,sK0))),
inference(unit_resulting_resolution,[],[f299,f229]) ).
fof(f229,plain,
! [X0,X1] :
( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) )
& ( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
<=> once(at_the_same_time(X1,X0)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X13,X14] :
( once(at_the_same_time(X13,X14))
<=> once(at_the_same_time(X14,X13)) ),
file('/export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542',symmetry_of_at_the_same_time) ).
fof(f298,plain,
( ~ spl32_1
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f183,f295,f291]) ).
fof(f183,plain,
( ~ incident_o(sK0,trajectory_of(sK2))
| ~ incident_o(sK0,trajectory_of(sK1)) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n029.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 : Tue Aug 29 22:11:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.F32YgbNR1C/Vampire---4.8_25542
% 0.21/0.36 % (25649)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (25652)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)
% 0.21/0.42 % (25655)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)
% 0.21/0.42 % (25654)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)
% 0.21/0.42 % (25653)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)
% 0.21/0.42 % (25650)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)
% 0.21/0.42 % (25651)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)
% 0.21/0.42 % (25656)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)
% 0.21/0.43 % (25653)First to succeed.
% 0.21/0.43 % (25652)Also succeeded, but the first one will report.
% 0.21/0.43 % (25653)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (25653)------------------------------
% 0.21/0.43 % (25653)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (25653)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (25653)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (25653)Memory used [KB]: 5756
% 0.21/0.43 % (25653)Time elapsed: 0.010 s
% 0.21/0.43 % (25653)------------------------------
% 0.21/0.43 % (25653)------------------------------
% 0.21/0.43 % (25649)Success in time 0.068 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------