TSTP Solution File: GEO257+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% 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 14:43:46 EDT 2023
% Result : Theorem 0.22s 0.43s
% 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 : 65 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 64 ( 12 ~; 2 |; 43 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 38 (; 23 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(resolution,[],[f165,f126]) ).
fof(f126,plain,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ~ before_on_line(sK0,sK1,sK3)
& before_on_line(sK0,sK2,sK3)
& before_on_line(sK0,sK1,sK2)
& left_apart_point(sK4,sK0)
& incident_point_and_line(sK3,sK0)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f72,f106]) ).
fof(f106,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( ~ before_on_line(sK0,sK1,sK3)
& before_on_line(sK0,sK2,sK3)
& before_on_line(sK0,sK1,sK2)
& left_apart_point(sK4,sK0)
& incident_point_and_line(sK3,sK0)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) )
=> before_on_line(X0,X1,X3) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5,X6,X8] :
( ( left_apart_point(X8,X3)
& incident_point_and_line(X6,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( ( before_on_line(X3,X5,X6)
& before_on_line(X3,X2,X5) )
=> before_on_line(X3,X2,X6) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5,X6,X8] :
( ( left_apart_point(X8,X3)
& incident_point_and_line(X6,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( ( before_on_line(X3,X5,X6)
& before_on_line(X3,X2,X5) )
=> before_on_line(X3,X2,X6) ) ),
file('/export/starexec/sandbox/tmp/tmp.FHkeC0QfqZ/Vampire---4.8_31143',con) ).
fof(f165,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.FHkeC0QfqZ/Vampire---4.8_31143',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO257+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 18:13:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (31390)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (31415)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 % (31416)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (31417)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)
% 0.22/0.42 % (31418)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 % (31419)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43 % (31423)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)
% 0.22/0.43 % (31421)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43 % (31417)First to succeed.
% 0.22/0.43 % (31419)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (31417)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (31417)------------------------------
% 0.22/0.43 % (31417)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31417)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31417)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (31417)Memory used [KB]: 5373
% 0.22/0.43 % (31417)Time elapsed: 0.004 s
% 0.22/0.43 % (31417)------------------------------
% 0.22/0.43 % (31417)------------------------------
% 0.22/0.43 % (31390)Success in time 0.063 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------