TSTP Solution File: GEO261+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 16:12:30 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 96 ( 37 ~; 19 |; 31 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 71 ( 51 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(subsumption_resolution,[],[f184,f182]) ).
fof(f182,plain,
unequally_directed_lines(sK3,sK0),
inference(resolution,[],[f175,f152]) ).
fof(f152,plain,
convergent_lines(sK3,sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ apart_point_and_line(sK4,sK0)
& between_on_line(sK3,sK2,sK4,sK1)
& ~ divides_points(sK0,sK2,sK1)
& convergent_lines(sK3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ apart_point_and_line(X4,X0)
& between_on_line(X3,X2,X4,X1)
& ~ divides_points(X0,X2,X1)
& convergent_lines(X3,X0) )
=> ( ~ apart_point_and_line(sK4,sK0)
& between_on_line(sK3,sK2,sK4,sK1)
& ~ divides_points(sK0,sK2,sK1)
& convergent_lines(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2,X3,X4] :
( ~ apart_point_and_line(X4,X0)
& between_on_line(X3,X2,X4,X1)
& ~ divides_points(X0,X2,X1)
& convergent_lines(X3,X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
? [X4,X2,X0,X3,X1] :
( ~ apart_point_and_line(X1,X4)
& between_on_line(X3,X0,X1,X2)
& ~ divides_points(X4,X0,X2)
& convergent_lines(X3,X4) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
? [X2,X0,X1,X3,X4] :
( ~ divides_points(X4,X0,X2)
& ~ apart_point_and_line(X1,X4)
& convergent_lines(X3,X4)
& between_on_line(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X2,X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,X4)
& convergent_lines(X3,X4)
& between_on_line(X3,X0,X1,X2) )
=> divides_points(X4,X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X4,X1,X2] :
( ( convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4)
& ~ apart_point_and_line(X3,X2) )
=> divides_points(X2,X0,X4) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X4,X1,X2] :
( ( convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4)
& ~ apart_point_and_line(X3,X2) )
=> divides_points(X2,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f175,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
<=> convergent_lines(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
fof(f184,plain,
~ unequally_directed_lines(sK3,sK0),
inference(resolution,[],[f181,f183]) ).
fof(f183,plain,
unequally_directed_lines(sK3,reverse_line(sK0)),
inference(resolution,[],[f174,f152]) ).
fof(f174,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f181,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f180,f172]) ).
fof(f172,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(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(f180,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(subsumption_resolution,[],[f139,f173]) ).
fof(f173,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:45:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (7209)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (7224)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (7209)First to succeed.
% 0.19/0.50 % (7209)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (7209)------------------------------
% 0.19/0.50 % (7209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7209)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (7209)Memory used [KB]: 5500
% 0.19/0.50 % (7209)Time elapsed: 0.106 s
% 0.19/0.50 % (7209)Instructions burned: 2 (million)
% 0.19/0.50 % (7209)------------------------------
% 0.19/0.50 % (7209)------------------------------
% 0.19/0.50 % (7204)Success in time 0.158 s
%------------------------------------------------------------------------------