TSTP Solution File: GEO242+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : 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 : Fri Sep 1 14:43:42 EDT 2023
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% 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(f198,plain,
$false,
inference(resolution,[],[f157,f132]) ).
fof(f132,plain,
left_convergent_lines(sK7,reverse_line(line_connecting(sK5,sK6))),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ~ left_apart_point(sK6,reverse_line(sK7))
& left_convergent_lines(sK7,reverse_line(line_connecting(sK5,sK6)))
& distinct_points(sK5,sK6)
& ~ apart_point_and_line(sK5,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f61,f106]) ).
fof(f106,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(sK6,reverse_line(sK7))
& left_convergent_lines(sK7,reverse_line(line_connecting(sK5,sK6)))
& distinct_points(sK5,sK6)
& ~ apart_point_and_line(sK5,sK7) ) ),
introduced(choice_axiom,[]) ).
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(flattening,[],[f60]) ).
fof(f60,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/sandbox2/tmp/tmp.ehn45ih3vp/Vampire---4.8_4698',con) ).
fof(f157,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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/sandbox2/tmp/tmp.ehn45ih3vp/Vampire---4.8_4698',oag11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO242+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n028.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 18:24:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.38 % (4902)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39 % (4905)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.39 % (4909)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.39 % (4910)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.20/0.39 % (4914)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.39 % (4917)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.39 % (4920)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.39 % (4922)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.39 % (4917)First to succeed.
% 0.20/0.39 % (4910)Also succeeded, but the first one will report.
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [1,1]
% 0.20/0.39 % (4920)Also succeeded, but the first one will report.
% 0.20/0.39 % (4917)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for Vampire---4
% 0.20/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.39 % (4917)------------------------------
% 0.20/0.39 % (4917)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.39 % (4917)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.39 % (4917)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (4917)Memory used [KB]: 895
% 0.20/0.39 % (4917)Time elapsed: 0.003 s
% 0.20/0.39 % (4917)------------------------------
% 0.20/0.39 % (4917)------------------------------
% 0.20/0.39 % (4902)Success in time 0.038 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------