TSTP Solution File: GEO210+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n015.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 16:09:14 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 36 ~; 28 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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; 0-2 aty)
% Number of variables : 63 ( 51 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f149,f102]) ).
fof(f102,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ~ unorthogonal_lines(sK2,sK0)
& distinct_lines(sK2,orthogonal_through_point(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f79,f80]) ).
fof(f80,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X0)
& distinct_lines(X2,orthogonal_through_point(X0,X1))
& ~ apart_point_and_line(X1,X2) )
=> ( ~ unorthogonal_lines(sK2,sK0)
& distinct_lines(sK2,orthogonal_through_point(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X0)
& distinct_lines(X2,orthogonal_through_point(X0,X1))
& ~ apart_point_and_line(X1,X2) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X2,X1,X0] :
( ~ unorthogonal_lines(X0,X2)
& distinct_lines(X0,orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X2,X1,X0] :
( distinct_lines(X0,orthogonal_through_point(X2,X1))
& ~ unorthogonal_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ! [X2,X1,X0] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) )
=> ~ distinct_lines(X0,orthogonal_through_point(X2,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X5,X8,X6] :
( ( ~ apart_point_and_line(X8,X5)
& ~ unorthogonal_lines(X5,X6) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X5,X8,X6] :
( ( ~ apart_point_and_line(X8,X5)
& ~ unorthogonal_lines(X5,X6) )
=> ~ distinct_lines(X5,orthogonal_through_point(X6,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f149,plain,
apart_point_and_line(sK1,sK2),
inference(resolution,[],[f148,f106]) ).
fof(f106,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f148,plain,
! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(subsumption_resolution,[],[f143,f104]) ).
fof(f104,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(sK0,sK1))
| apart_point_and_line(X0,sK2)
| unorthogonal_lines(sK2,sK0) ),
inference(resolution,[],[f114,f100]) ).
fof(f100,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f114,plain,
! [X2,X3] :
( unorthogonal_lines(orthogonal_through_point(sK0,sK1),X3)
| apart_point_and_line(X2,sK2)
| apart_point_and_line(X2,orthogonal_through_point(sK0,sK1))
| unorthogonal_lines(sK2,X3) ),
inference(resolution,[],[f103,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X0,X2)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X1,X2)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X0,X2)
| apart_point_and_line(X3,X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X3,X2,X0] :
( unorthogonal_lines(X3,X2)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X0,X3)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X3,X2,X0] :
( apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X0,X3)
| unorthogonal_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X3,X2,X0] :
( distinct_lines(X3,X1)
=> ( apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X0,X3)
| unorthogonal_lines(X3,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X8,X6,X7,X5] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| apart_point_and_line(X8,X5)
| apart_point_and_line(X8,X6)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f103,plain,
distinct_lines(sK2,orthogonal_through_point(sK0,sK1)),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 21:40:35 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.47 % (15471)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.48 % (15471)First to succeed.
% 0.20/0.48 % (15463)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)
% 0.20/0.49 % (15471)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (15471)------------------------------
% 0.20/0.49 % (15471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (15471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (15471)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (15471)Memory used [KB]: 1535
% 0.20/0.49 % (15471)Time elapsed: 0.089 s
% 0.20/0.49 % (15471)Instructions burned: 4 (million)
% 0.20/0.49 % (15471)------------------------------
% 0.20/0.49 % (15471)------------------------------
% 0.20/0.49 % (15458)Success in time 0.142 s
%------------------------------------------------------------------------------