TSTP Solution File: GEO178+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 16:12:07 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 90 ( 36 ~; 27 |; 18 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 37 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f216,f218]) ).
fof(f218,plain,
spl4_2,
inference(avatar_split_clause,[],[f217,f166]) ).
fof(f166,plain,
( spl4_2
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f217,plain,
distinct_points(sK1,sK0),
inference(subsumption_resolution,[],[f209,f149]) ).
fof(f149,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK0) )
& apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
| ~ distinct_points(X1,X0) )
& apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) )
=> ( ( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK0) )
& apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
| ~ distinct_points(X1,X0) )
& apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
? [X1,X0,X2] :
( ( ~ distinct_points(X0,X2)
| ~ distinct_points(X0,X1) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
? [X0,X2,X1] :
( ( ~ distinct_points(X0,X2)
| ~ distinct_points(X0,X1) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X0,X2,X1] :
( ( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f209,plain,
( ~ distinct_points(sK2,sK0)
| distinct_points(sK1,sK0) ),
inference(resolution,[],[f191,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f191,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK2,sK0))
| distinct_points(sK1,X0) ),
inference(resolution,[],[f138,f150]) ).
fof(f150,plain,
apart_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f116]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f216,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f215,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f214,f149]) ).
fof(f214,plain,
( ~ distinct_points(sK2,sK0)
| spl4_1 ),
inference(subsumption_resolution,[],[f210,f164]) ).
fof(f164,plain,
( ~ distinct_points(sK1,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl4_1
<=> distinct_points(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f210,plain,
( distinct_points(sK1,sK2)
| ~ distinct_points(sK2,sK0) ),
inference(resolution,[],[f191,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[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(f169,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f151,f166,f162]) ).
fof(f151,plain,
( ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK1,sK2) ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n016.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 21:47:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (29010)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (29002)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (29002)First to succeed.
% 0.19/0.52 % (29002)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (29002)------------------------------
% 0.19/0.52 % (29002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29002)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (29002)Memory used [KB]: 5500
% 0.19/0.52 % (29002)Time elapsed: 0.119 s
% 0.19/0.52 % (29002)Instructions burned: 4 (million)
% 0.19/0.52 % (29002)------------------------------
% 0.19/0.52 % (29002)------------------------------
% 0.19/0.52 % (28985)Success in time 0.171 s
%------------------------------------------------------------------------------