TSTP Solution File: GEO237+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO237+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_uns --cores 0 -t %d %s
% Computer : n014.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 16:09:27 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 77 ( 29 ~; 15 |; 24 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 50 ( 34 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,plain,
$false,
inference(resolution,[],[f198,f129]) ).
fof(f129,plain,
apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ divides_points(sK0,sK3,sK1)
& divides_points(sK0,sK2,sK3)
& apart_point_and_line(sK1,sK0)
& ~ divides_points(sK0,sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f103,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3] :
( ~ divides_points(X0,X3,X1)
& divides_points(X0,X2,X3)
& apart_point_and_line(X1,X0)
& ~ divides_points(X0,X2,X1) )
=> ( ~ divides_points(sK0,sK3,sK1)
& divides_points(sK0,sK2,sK3)
& apart_point_and_line(sK1,sK0)
& ~ divides_points(sK0,sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X0,X3,X1)
& divides_points(X0,X2,X3)
& apart_point_and_line(X1,X0)
& ~ divides_points(X0,X2,X1) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
? [X0,X1,X3,X2] :
( ~ divides_points(X0,X2,X1)
& divides_points(X0,X3,X2)
& apart_point_and_line(X1,X0)
& ~ divides_points(X0,X3,X1) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
? [X1,X2,X3,X0] :
( ~ divides_points(X0,X2,X1)
& ~ divides_points(X0,X3,X1)
& divides_points(X0,X3,X2)
& apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X1,X2,X3,X0] :
( apart_point_and_line(X1,X0)
=> ( divides_points(X0,X3,X2)
=> ( divides_points(X0,X2,X1)
| divides_points(X0,X3,X1) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X4,X3,X0] :
( apart_point_and_line(X4,X1)
=> ( divides_points(X1,X0,X3)
=> ( divides_points(X1,X0,X4)
| divides_points(X1,X3,X4) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X4,X3,X0] :
( apart_point_and_line(X4,X1)
=> ( divides_points(X1,X0,X3)
=> ( divides_points(X1,X0,X4)
| divides_points(X1,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f198,plain,
! [X0,X1] : ~ apart_point_and_line(X1,X0),
inference(subsumption_resolution,[],[f197,f159]) ).
fof(f159,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f197,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
| ~ apart_point_and_line(X1,X0) ),
inference(subsumption_resolution,[],[f122,f159]) ).
fof(f122,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
| left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ) )
& ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ) )
& ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
<=> ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( apart_point_and_line(X0,X1)
<=> ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apt_def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:33:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (6025)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (6025)First to succeed.
% 0.19/0.50 % (6029)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (6025)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (6025)------------------------------
% 0.19/0.51 % (6025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6025)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (6025)Memory used [KB]: 6012
% 0.19/0.51 % (6025)Time elapsed: 0.100 s
% 0.19/0.51 % (6025)Instructions burned: 3 (million)
% 0.19/0.51 % (6025)------------------------------
% 0.19/0.51 % (6025)------------------------------
% 0.19/0.51 % (6024)Success in time 0.161 s
%------------------------------------------------------------------------------