TSTP Solution File: GEO147+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n021.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 14:42:59 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 20 |; 13 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 62 (; 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f668,plain,
$false,
inference(resolution,[],[f665,f215]) ).
fof(f215,plain,
connect(sK8,sK9,sK7),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ~ incident_o(sK7,trajectory_of(sK9))
| ~ incident_o(sK7,trajectory_of(sK8)) )
& connect(sK8,sK9,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f73,f119]) ).
fof(f119,plain,
( ? [X0,X1,X2] :
( ( ~ incident_o(X0,trajectory_of(X2))
| ~ incident_o(X0,trajectory_of(X1)) )
& connect(X1,X2,X0) )
=> ( ( ~ incident_o(sK7,trajectory_of(sK9))
| ~ incident_o(sK7,trajectory_of(sK8)) )
& connect(sK8,sK9,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f73,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.NLTKr9W3gp/Vampire---4.8_22063',t13) ).
fof(f665,plain,
! [X0] : ~ connect(sK8,X0,sK7),
inference(resolution,[],[f664,f284]) ).
fof(f284,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( connect(X0,X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(X1,X2))) )
& ( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ) ),
inference(nnf_transformation,[],[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.NLTKr9W3gp/Vampire---4.8_22063',connect_defn) ).
fof(f664,plain,
! [X1] : ~ once(at_the_same_time(at(sK8,sK7),at(X1,sK7))),
inference(resolution,[],[f640,f278]) ).
fof(f278,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
| ~ once(at_the_same_time(X1,X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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.NLTKr9W3gp/Vampire---4.8_22063',symmetry_of_at_the_same_time) ).
fof(f640,plain,
! [X0] : ~ once(at_the_same_time(at(X0,sK7),at(sK8,sK7))),
inference(resolution,[],[f285,f633]) ).
fof(f633,plain,
! [X0] : ~ connect(X0,sK8,sK7),
inference(resolution,[],[f628,f616]) ).
fof(f616,plain,
! [X2,X0,X1] :
( once(at(X1,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f284,f234]) ).
fof(f234,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,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.NLTKr9W3gp/Vampire---4.8_22063',conjunction_at_the_same_time) ).
fof(f628,plain,
~ once(at(sK8,sK7)),
inference(resolution,[],[f627,f275]) ).
fof(f275,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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.NLTKr9W3gp/Vampire---4.8_22063',at_on_trajectory) ).
fof(f627,plain,
~ incident_o(sK7,trajectory_of(sK8)),
inference(resolution,[],[f620,f215]) ).
fof(f620,plain,
! [X2] :
( ~ connect(X2,sK9,sK7)
| ~ incident_o(sK7,trajectory_of(sK8)) ),
inference(resolution,[],[f616,f358]) ).
fof(f358,plain,
( ~ once(at(sK9,sK7))
| ~ incident_o(sK7,trajectory_of(sK8)) ),
inference(resolution,[],[f275,f216]) ).
fof(f216,plain,
( ~ incident_o(sK7,trajectory_of(sK9))
| ~ incident_o(sK7,trajectory_of(sK8)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f285,plain,
! [X2,X0,X1] :
( connect(X0,X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 18:11:45 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.43 % (22259)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (22301)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)
% 0.23/0.43 % (22299)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43 % (22300)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43 % (22302)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43 % (22303)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)
% 0.23/0.43 % (22304)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)
% 0.23/0.43 % (22305)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)
% 0.23/0.44 TRYING [1]
% 0.23/0.44 TRYING [2]
% 0.23/0.45 TRYING [1]
% 0.23/0.45 TRYING [2]
% 0.23/0.45 TRYING [3]
% 0.23/0.45 % (22304)First to succeed.
% 0.23/0.46 % (22304)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (22304)------------------------------
% 0.23/0.46 % (22304)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (22304)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (22304)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (22304)Memory used [KB]: 1535
% 0.23/0.46 % (22304)Time elapsed: 0.023 s
% 0.23/0.46 % (22304)------------------------------
% 0.23/0.46 % (22304)------------------------------
% 0.23/0.46 % (22259)Success in time 0.082 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------