TSTP Solution File: GEO176+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO176+2 : 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 : n005.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 16:12:06 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 104 ( 34 ~; 33 |; 27 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 35 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f109,f137]) ).
fof(f137,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f120,f68]) ).
fof(f68,plain,
~ distinct_points(sK0,intersection_point(sK1,sK3)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( apart_point_and_line(sK0,sK1)
| apart_point_and_line(sK0,sK3) )
& ~ distinct_points(sK0,intersection_point(sK1,sK3))
& convergent_lines(sK1,sK3)
& distinct_points(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3) )
& ~ distinct_points(X0,intersection_point(X1,X3))
& convergent_lines(X1,X3)
& distinct_points(X0,X2) )
=> ( ( apart_point_and_line(sK0,sK1)
| apart_point_and_line(sK0,sK3) )
& ~ distinct_points(sK0,intersection_point(sK1,sK3))
& convergent_lines(sK1,sK3)
& distinct_points(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3) )
& ~ distinct_points(X0,intersection_point(X1,X3))
& convergent_lines(X1,X3)
& distinct_points(X0,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
? [X2,X1,X3,X0] :
( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
& ~ distinct_points(X2,intersection_point(X1,X0))
& convergent_lines(X1,X0)
& distinct_points(X2,X3) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X3,X1,X2,X0] :
( ~ distinct_points(X2,intersection_point(X1,X0))
& distinct_points(X2,X3)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X3,X1,X2,X0] :
( ( distinct_points(X2,X3)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
& convergent_lines(X1,X0) )
=> distinct_points(X2,intersection_point(X1,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f120,plain,
( distinct_points(sK0,intersection_point(sK1,sK3))
| ~ spl4_1 ),
inference(resolution,[],[f110,f67]) ).
fof(f67,plain,
convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f52]) ).
fof(f110,plain,
( ! [X0] :
( ~ convergent_lines(sK1,X0)
| distinct_points(sK0,intersection_point(sK1,X0)) )
| ~ spl4_1 ),
inference(resolution,[],[f74,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| distinct_points(X1,intersection_point(X0,X2)) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ~ convergent_lines(X1,X0)
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| distinct_points(X2,intersection_point(X1,X0)) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( distinct_points(X2,intersection_point(X1,X0))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X0)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X1,X0)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f74,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f109,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f104,f68]) ).
fof(f104,plain,
( distinct_points(sK0,intersection_point(sK1,sK3))
| ~ spl4_2 ),
inference(resolution,[],[f85,f67]) ).
fof(f85,plain,
( ! [X0] :
( ~ convergent_lines(X0,sK3)
| distinct_points(sK0,intersection_point(X0,sK3)) )
| ~ spl4_2 ),
inference(resolution,[],[f64,f78]) ).
fof(f78,plain,
( apart_point_and_line(sK0,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl4_2
<=> apart_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f79,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f69,f76,f72]) ).
fof(f69,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK1) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n005.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 21:24:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (13427)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.49 % (13435)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.49 % (13435)First to succeed.
% 0.21/0.50 % (13435)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (13435)------------------------------
% 0.21/0.50 % (13435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (13435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (13435)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (13435)Memory used [KB]: 5500
% 0.21/0.50 % (13435)Time elapsed: 0.077 s
% 0.21/0.50 % (13435)Instructions burned: 3 (million)
% 0.21/0.50 % (13435)------------------------------
% 0.21/0.50 % (13435)------------------------------
% 0.21/0.50 % (13405)Success in time 0.148 s
%------------------------------------------------------------------------------