TSTP Solution File: GEO261+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO261+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 : n009.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 : Sun May 5 05:16:27 EDT 2024
% Result : Theorem 0.23s 0.39s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 90 ( 34 ~; 19 |; 28 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 64 ( 49 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262,plain,
$false,
inference(subsumption_resolution,[],[f256,f168]) ).
fof(f168,plain,
unequally_directed_lines(sK1,sK2),
inference(resolution,[],[f137,f115]) ).
fof(f115,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ~ divides_points(sK2,sK3,sK5)
& ~ apart_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& between_on_line(sK1,sK3,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f66,f110]) ).
fof(f110,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ divides_points(X1,X2,X4)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X2,X3,X4) )
=> ( ~ divides_points(sK2,sK3,sK5)
& ~ apart_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& between_on_line(sK1,sK3,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
? [X0,X1,X2,X3,X4] :
( ~ divides_points(X1,X2,X4)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X2,X3,X4) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0,X1,X2,X3,X4] :
( ~ divides_points(X1,X2,X4)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X2,X3,X4) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X2,X3,X4) )
=> divides_points(X1,X2,X4) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> divides_points(X2,X0,X4) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> divides_points(X2,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f137,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,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/sandbox/benchmark/theBenchmark.p',con_def) ).
fof(f256,plain,
~ unequally_directed_lines(sK1,sK2),
inference(resolution,[],[f249,f169]) ).
fof(f169,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(resolution,[],[f138,f115]) ).
fof(f138,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f249,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f248,f139]) ).
fof(f139,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f83]) ).
fof(f83,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/benchmark/theBenchmark.p',oag11) ).
fof(f248,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f134,f139]) ).
fof(f134,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,[],[f80]) ).
fof(f80,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,[],[f79]) ).
fof(f79,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/sandbox/benchmark/theBenchmark.p',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO261+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.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 : Fri May 3 22:01:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (19418)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19419)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (19421)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)
% 0.15/0.39 % (19422)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (19423)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (19420)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (19424)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.39 % (19425)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)
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [2]
% 0.23/0.39 % (19424)First to succeed.
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [2]
% 0.23/0.39 TRYING [1,1]
% 0.23/0.39 % (19424)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19418"
% 0.23/0.39 TRYING [1,1]
% 0.23/0.39 TRYING [3]
% 0.23/0.39 TRYING [2,2]
% 0.23/0.39 TRYING [2,2]
% 0.23/0.39 % (19424)Refutation found. Thanks to Tanya!
% 0.23/0.39 % SZS status Theorem for theBenchmark
% 0.23/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.39 % (19424)------------------------------
% 0.23/0.39 % (19424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (19424)Termination reason: Refutation
% 0.23/0.39
% 0.23/0.39 % (19424)Memory used [KB]: 882
% 0.23/0.39 % (19424)Time elapsed: 0.007 s
% 0.23/0.39 % (19424)Instructions burned: 8 (million)
% 0.23/0.39 % (19418)Success in time 0.024 s
%------------------------------------------------------------------------------