TSTP Solution File: GEO256+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO256+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 : n007.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 16:09:33 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 87 ( 29 ~; 4 |; 47 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 43 ( 23 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f157,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f157,plain,
left_apart_point(sK4,sK1),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( distinct_points(sK0,sK2)
& ~ before_on_line(sK1,sK2,sK3)
& before_on_line(sK1,sK0,sK3)
& distinct_points(sK3,sK2)
& left_apart_point(sK4,sK1)
& ~ apart_point_and_line(sK2,sK1)
& ~ before_on_line(sK1,sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2,X3,X4] :
( distinct_points(X0,X2)
& ~ before_on_line(X1,X2,X3)
& before_on_line(X1,X0,X3)
& distinct_points(X3,X2)
& left_apart_point(X4,X1)
& ~ apart_point_and_line(X2,X1)
& ~ before_on_line(X1,X0,X2) )
=> ( distinct_points(sK0,sK2)
& ~ before_on_line(sK1,sK2,sK3)
& before_on_line(sK1,sK0,sK3)
& distinct_points(sK3,sK2)
& left_apart_point(sK4,sK1)
& ~ apart_point_and_line(sK2,sK1)
& ~ before_on_line(sK1,sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2,X3,X4] :
( distinct_points(X0,X2)
& ~ before_on_line(X1,X2,X3)
& before_on_line(X1,X0,X3)
& distinct_points(X3,X2)
& left_apart_point(X4,X1)
& ~ apart_point_and_line(X2,X1)
& ~ before_on_line(X1,X0,X2) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
? [X1,X3,X2,X4,X0] :
( distinct_points(X1,X2)
& ~ before_on_line(X3,X2,X4)
& before_on_line(X3,X1,X4)
& distinct_points(X4,X2)
& left_apart_point(X0,X3)
& ~ apart_point_and_line(X2,X3)
& ~ before_on_line(X3,X1,X2) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X3,X1,X4,X2] :
( ~ before_on_line(X3,X2,X4)
& ~ before_on_line(X3,X1,X2)
& before_on_line(X3,X1,X4)
& ~ apart_point_and_line(X2,X3)
& distinct_points(X4,X2)
& left_apart_point(X0,X3)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X3,X1,X4,X2] :
( ( ~ apart_point_and_line(X2,X3)
& distinct_points(X4,X2)
& left_apart_point(X0,X3)
& distinct_points(X1,X2) )
=> ( before_on_line(X3,X1,X4)
=> ( before_on_line(X3,X2,X4)
| before_on_line(X3,X1,X2) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X6,X0,X4,X1,X3] :
( ( left_apart_point(X6,X1)
& distinct_points(X0,X4)
& distinct_points(X3,X4)
& ~ apart_point_and_line(X4,X1) )
=> ( before_on_line(X1,X0,X3)
=> ( before_on_line(X1,X4,X3)
| before_on_line(X1,X0,X4) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X6,X0,X4,X1,X3] :
( ( left_apart_point(X6,X1)
& distinct_points(X0,X4)
& distinct_points(X3,X4)
& ~ apart_point_and_line(X4,X1) )
=> ( before_on_line(X1,X0,X3)
=> ( before_on_line(X1,X4,X3)
| before_on_line(X1,X0,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GEO256+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n007.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 21:25:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (17703)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.44 % (17694)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.44 % (17703)First to succeed.
% 0.18/0.45 % (17694)Also succeeded, but the first one will report.
% 0.18/0.45 % (17703)Refutation found. Thanks to Tanya!
% 0.18/0.45 % SZS status Theorem for theBenchmark
% 0.18/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.45 % (17703)------------------------------
% 0.18/0.45 % (17703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45 % (17703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45 % (17703)Termination reason: Refutation
% 0.18/0.45
% 0.18/0.45 % (17703)Memory used [KB]: 1535
% 0.18/0.45 % (17703)Time elapsed: 0.009 s
% 0.18/0.45 % (17703)Instructions burned: 3 (million)
% 0.18/0.45 % (17703)------------------------------
% 0.18/0.45 % (17703)------------------------------
% 0.18/0.45 % (17676)Success in time 0.112 s
%------------------------------------------------------------------------------