TSTP Solution File: GEO236+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO236+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 : 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 : Wed Aug 31 16:09:26 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 50 ( 19 ~; 5 |; 22 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(subsumption_resolution,[],[f123,f131]) ).
fof(f131,plain,
! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f123,plain,
left_apart_point(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( left_apart_point(sK0,reverse_line(sK1))
& left_apart_point(sK0,sK2)
& ~ distinct_lines(sK2,sK1)
& ~ unequally_directed_lines(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f101,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2] :
( left_apart_point(X0,reverse_line(X1))
& left_apart_point(X0,X2)
& ~ distinct_lines(X2,X1)
& ~ unequally_directed_lines(X2,X1) )
=> ( left_apart_point(sK0,reverse_line(sK1))
& left_apart_point(sK0,sK2)
& ~ distinct_lines(sK2,sK1)
& ~ unequally_directed_lines(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0,X1,X2] :
( left_apart_point(X0,reverse_line(X1))
& left_apart_point(X0,X2)
& ~ distinct_lines(X2,X1)
& ~ unequally_directed_lines(X2,X1) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
? [X1,X0,X2] :
( left_apart_point(X1,reverse_line(X0))
& left_apart_point(X1,X2)
& ~ distinct_lines(X2,X0)
& ~ unequally_directed_lines(X2,X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X2,X1,X0] :
( ~ distinct_lines(X2,X0)
& ~ unequally_directed_lines(X2,X0)
& left_apart_point(X1,reverse_line(X0))
& left_apart_point(X1,X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ! [X2,X1,X0] :
( ( left_apart_point(X1,reverse_line(X0))
& left_apart_point(X1,X2) )
=> ( distinct_lines(X2,X0)
| unequally_directed_lines(X2,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X2,X0,X1] :
( ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X0,X1) )
=> ( distinct_lines(X1,X2)
| unequally_directed_lines(X1,X2) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X2,X0,X1] :
( ( left_apart_point(X0,reverse_line(X2))
& left_apart_point(X0,X1) )
=> ( distinct_lines(X1,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO236+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:32:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (6454)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55 % (6468)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (6468)First to succeed.
% 0.20/0.56 % (6454)Also succeeded, but the first one will report.
% 0.20/0.56 % (6468)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (6468)------------------------------
% 0.20/0.56 % (6468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6468)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (6468)Memory used [KB]: 6012
% 0.20/0.56 % (6468)Time elapsed: 0.009 s
% 0.20/0.56 % (6468)Instructions burned: 2 (million)
% 0.20/0.56 % (6468)------------------------------
% 0.20/0.56 % (6468)------------------------------
% 0.20/0.56 % (6452)Success in time 0.204 s
%------------------------------------------------------------------------------