TSTP Solution File: GEO242+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : 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 : Wed Aug 30 23:32:11 EDT 2023
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 48 ( 20 ~; 2 |; 22 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 (; 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(subsumption_resolution,[],[f102,f123]) ).
fof(f123,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.37gYfYzYWK/Vampire---4.8_26291',oag11) ).
fof(f102,plain,
left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ~ left_apart_point(sK1,reverse_line(sK2))
& left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1)))
& distinct_points(sK0,sK1)
& ~ apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f62,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X2))
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ( ~ left_apart_point(sK1,reverse_line(sK2))
& left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1)))
& distinct_points(sK0,sK1)
& ~ apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X2))
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X2))
& left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( ( left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> left_apart_point(X1,reverse_line(X2)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X1) )
=> left_apart_point(X3,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X1) )
=> left_apart_point(X3,reverse_line(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.37gYfYzYWK/Vampire---4.8_26291',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.14 % 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 : Tue Aug 29 20:52:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.37gYfYzYWK/Vampire---4.8_26291
% 0.14/0.36 % (26398)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (26400)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42 % (26404)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.42 % (26401)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42 % (26402)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.42 % (26399)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.42 % (26405)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42 % (26400)First to succeed.
% 0.22/0.42 % (26404)Also succeeded, but the first one will report.
% 0.22/0.42 % (26403)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 % (26405)Also succeeded, but the first one will report.
% 0.22/0.42 % (26400)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (26400)------------------------------
% 0.22/0.42 % (26400)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (26400)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (26400)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (26400)Memory used [KB]: 1023
% 0.22/0.42 % (26400)Time elapsed: 0.004 s
% 0.22/0.42 % (26400)------------------------------
% 0.22/0.42 % (26400)------------------------------
% 0.22/0.42 % (26398)Success in time 0.063 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------