TSTP Solution File: GEO225+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO225+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_sat --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 16:12:23 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 79 ( 23 ~; 13 |; 33 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 30 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(subsumption_resolution,[],[f105,f81]) ).
fof(f81,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( point(sK1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ) )
& distinct_points(sK0,sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f64,f65]) ).
fof(f65,plain,
( ? [X0,X1] :
( point(X1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) )
& distinct_points(X0,X1)
& point(X0) )
=> ( point(sK1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ) )
& distinct_points(sK0,sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1] :
( point(X1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) )
& distinct_points(X0,X1)
& point(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0] :
( point(X0)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ) )
& distinct_points(X1,X0)
& point(X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X1,X0] :
( ! [X2] :
( line(X2)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ) )
& point(X1)
& point(X0)
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X1,X0] :
( ( point(X1)
& point(X0)
& distinct_points(X1,X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X6,X5] :
( ( point(X6)
& distinct_points(X5,X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X6,X5] :
( ( point(X6)
& distinct_points(X5,X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f105,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f104,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f104,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f99,f81]) ).
fof(f99,plain,
! [X0] :
( ~ distinct_points(X0,sK1)
| apart_point_and_line(sK0,line_connecting(X0,sK1)) ),
inference(resolution,[],[f86,f82]) ).
fof(f82,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.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 21:32:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (1989)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (1995)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (2013)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (2000)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (1989)First to succeed.
% 0.20/0.52 % (1993)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (1989)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (1989)------------------------------
% 0.20/0.52 % (1989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1989)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (1989)Memory used [KB]: 5500
% 0.20/0.52 % (1989)Time elapsed: 0.103 s
% 0.20/0.52 % (1989)Instructions burned: 2 (million)
% 0.20/0.52 % (1989)------------------------------
% 0.20/0.52 % (1989)------------------------------
% 0.20/0.52 % (1984)Success in time 0.16 s
%------------------------------------------------------------------------------