TSTP Solution File: GEO252+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO252+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 : n003.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 14:43:45 EDT 2023
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 43 ( 16 ~; 6 |; 17 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 (; 15 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,plain,
$false,
inference(resolution,[],[f158,f131]) ).
fof(f131,plain,
left_apart_point(sK6,reverse_line(sK7)),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( ~ left_convergent_lines(line_connecting(sK5,sK6),sK7)
| ~ distinct_points(sK5,sK6) )
& left_apart_point(sK6,reverse_line(sK7))
& left_apart_point(sK5,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f61,f106]) ).
fof(f106,plain,
( ? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
=> ( ( ~ left_convergent_lines(line_connecting(sK5,sK6),sK7)
| ~ distinct_points(sK5,sK6) )
& left_apart_point(sK6,reverse_line(sK7))
& left_apart_point(sK5,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X0,X2) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
& distinct_points(X0,X3) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
& distinct_points(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.totTR9QXtX/Vampire---4.8_29023',con) ).
fof(f158,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.totTR9QXtX/Vampire---4.8_29023',oag10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO252+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
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 30 18:13:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.40 % (29130)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (29135)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.41 % (29131)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.41 % (29132)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.41 % (29133)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)
% 0.21/0.41 % (29134)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.41 % (29136)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.41 % (29137)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)
% 0.21/0.41 % (29135)First to succeed.
% 0.21/0.41 % (29133)Also succeeded, but the first one will report.
% 0.21/0.41 % (29135)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for Vampire---4
% 0.21/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.41 % (29135)------------------------------
% 0.21/0.41 % (29135)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41 % (29135)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41 % (29135)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (29135)Memory used [KB]: 895
% 0.21/0.41 % (29135)Time elapsed: 0.003 s
% 0.21/0.41 % (29135)------------------------------
% 0.21/0.41 % (29135)------------------------------
% 0.21/0.41 % (29130)Success in time 0.06 s
% 0.21/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------