TSTP Solution File: GEO262+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 11:15:04 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 125 ( 44 ~; 20 |; 52 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 56 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(resolution,[],[f276,f116]) ).
fof(f116,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ between_on_line(sK2,intersection_point(sK2,parallel_through_point(sK3,sK4)),sK5,intersection_point(sK2,parallel_through_point(sK3,sK6)))
& ~ apart_point_and_line(sK5,sK3)
& convergent_lines(sK2,sK3)
& convergent_lines(sK1,sK3)
& ~ apart_point_and_line(sK5,sK2)
& convergent_lines(sK1,sK2)
& between_on_line(sK1,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f63,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) )
=> ( ~ between_on_line(sK2,intersection_point(sK2,parallel_through_point(sK3,sK4)),sK5,intersection_point(sK2,parallel_through_point(sK3,sK6)))
& ~ apart_point_and_line(sK5,sK3)
& convergent_lines(sK2,sK3)
& convergent_lines(sK1,sK3)
& ~ apart_point_and_line(sK5,sK2)
& convergent_lines(sK1,sK2)
& between_on_line(sK1,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) )
=> between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5))) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X5,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X2,X5)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2,X5,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X2,X5)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f276,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(subsumption_resolution,[],[f257,f138]) ).
fof(f138,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
fof(f257,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f256,f139]) ).
fof(f139,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f256,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f255,f140]) ).
fof(f140,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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/benchmark/theBenchmark.p',oag11) ).
fof(f255,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f135,f140]) ).
fof(f135,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 06:08:34 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % (15358)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (15359)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (15362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (15360)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (15363)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (15361)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 theBenchmark for (476ds/0Mi)
% 0.15/0.32 % (15364)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (15365)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 % (15364)First to succeed.
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 % (15364)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (15364)------------------------------
% 0.15/0.33 % (15364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (15364)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (15364)Memory used [KB]: 884
% 0.15/0.33 % (15364)Time elapsed: 0.006 s
% 0.15/0.33 % (15364)Instructions burned: 10 (million)
% 0.15/0.33 % (15364)------------------------------
% 0.15/0.33 % (15364)------------------------------
% 0.15/0.33 % (15358)Success in time 0.022 s
%------------------------------------------------------------------------------