TSTP Solution File: GEO225+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n004.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 16:09:22 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 75 ( 24 ~; 13 |; 29 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 36 ( 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(subsumption_resolution,[],[f87,f67]) ).
fof(f67,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( point(sK1)
& point(sK0)
& distinct_points(sK0,sK1)
& ! [X2] :
( ( apart_point_and_line(sK0,X2)
| apart_point_and_line(sK1,X2) )
& line(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f55]) ).
fof(f55,plain,
( ? [X0,X1] :
( point(X1)
& point(X0)
& distinct_points(X0,X1)
& ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) ) )
=> ( point(sK1)
& point(sK0)
& distinct_points(sK0,sK1)
& ! [X2] :
( ( apart_point_and_line(sK0,X2)
| apart_point_and_line(sK1,X2) )
& line(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] :
( point(X1)
& point(X0)
& distinct_points(X0,X1)
& ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X1)
& distinct_points(X0,X1)
& point(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( ( point(X1)
& distinct_points(X0,X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X5)
& point(X6) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X5)
& point(X6) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f87,plain,
~ distinct_points(sK0,sK1),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f84,plain,
( ~ distinct_points(sK0,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f80,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f80,plain,
! [X4] :
( apart_point_and_line(sK0,line_connecting(X4,sK1))
| ~ distinct_points(X4,sK1) ),
inference(resolution,[],[f66,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f66,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n004.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 21:28:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (26164)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)
% 0.20/0.50 % (26164)First to succeed.
% 0.20/0.50 % (26164)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (26164)------------------------------
% 0.20/0.50 % (26164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (26164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (26164)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (26164)Memory used [KB]: 5884
% 0.20/0.50 % (26164)Time elapsed: 0.093 s
% 0.20/0.50 % (26164)Instructions burned: 2 (million)
% 0.20/0.50 % (26164)------------------------------
% 0.20/0.50 % (26164)------------------------------
% 0.20/0.50 % (26162)Success in time 0.155 s
%------------------------------------------------------------------------------