TSTP Solution File: GEO249+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO249+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n026.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 16:12:28 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 2 |; 17 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(subsumption_resolution,[],[f160,f130]) ).
fof(f130,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f160,plain,
left_apart_point(sK1,sF5),
inference(definition_folding,[],[f137,f159,f158]) ).
fof(f158,plain,
parallel_through_point(sK0,sK2) = sF4,
introduced(function_definition,[]) ).
fof(f159,plain,
sF5 = reverse_line(sF4),
introduced(function_definition,[]) ).
fof(f137,plain,
left_apart_point(sK1,reverse_line(parallel_through_point(sK0,sK2))),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ left_apart_point(sK1,reverse_line(sK0))
& left_apart_point(sK1,reverse_line(parallel_through_point(sK0,sK2)))
& left_apart_point(sK2,reverse_line(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X0))
& left_apart_point(X1,reverse_line(parallel_through_point(X0,X2)))
& left_apart_point(X2,reverse_line(X0)) )
=> ( ~ left_apart_point(sK1,reverse_line(sK0))
& left_apart_point(sK1,reverse_line(parallel_through_point(sK0,sK2)))
& left_apart_point(sK2,reverse_line(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,reverse_line(X0))
& left_apart_point(X1,reverse_line(parallel_through_point(X0,X2)))
& left_apart_point(X2,reverse_line(X0)) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X2,reverse_line(X0))
& left_apart_point(X2,reverse_line(parallel_through_point(X0,X1)))
& left_apart_point(X1,reverse_line(X0)) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X2,X1,X0] :
( ~ left_apart_point(X2,reverse_line(X0))
& left_apart_point(X2,reverse_line(parallel_through_point(X0,X1)))
& left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
~ ! [X2,X1,X0] :
( ( left_apart_point(X2,reverse_line(parallel_through_point(X0,X1)))
& left_apart_point(X1,reverse_line(X0)) )
=> left_apart_point(X2,reverse_line(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3] :
( ( left_apart_point(X0,reverse_line(X1))
& left_apart_point(X3,reverse_line(parallel_through_point(X1,X0))) )
=> left_apart_point(X3,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X3] :
( ( left_apart_point(X0,reverse_line(X1))
& left_apart_point(X3,reverse_line(parallel_through_point(X1,X0))) )
=> left_apart_point(X3,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO249+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:48:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (15486)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.45 % (15462)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.45 % (15486)First to succeed.
% 0.19/0.45 % (15462)Also succeeded, but the first one will report.
% 0.19/0.46 % (15486)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (15486)------------------------------
% 0.19/0.46 % (15486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (15486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (15486)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (15486)Memory used [KB]: 5500
% 0.19/0.46 % (15486)Time elapsed: 0.006 s
% 0.19/0.46 % (15486)Instructions burned: 3 (million)
% 0.19/0.46 % (15486)------------------------------
% 0.19/0.46 % (15486)------------------------------
% 0.19/0.46 % (15460)Success in time 0.108 s
%------------------------------------------------------------------------------