TSTP Solution File: GEO247+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO247+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 : n028.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 16:12:27 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 87 ( 12 ~; 1 |; 70 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 48 ( 24 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(resolution,[],[f148,f129]) ).
fof(f129,plain,
left_apart_point(sK0,sK4),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( left_apart_point(sK2,reverse_line(sK3))
& left_apart_point(sK5,reverse_line(sK3))
& left_apart_point(sK0,sK4)
& left_apart_point(sK1,reverse_line(sK4))
& left_apart_point(sK2,sK4)
& left_apart_point(sK5,reverse_line(sK4))
& ~ convergent_lines(sK3,sK4)
& left_apart_point(sK0,sK3)
& left_apart_point(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f105,f106]) ).
fof(f106,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( left_apart_point(X2,reverse_line(X3))
& left_apart_point(X5,reverse_line(X3))
& left_apart_point(X0,X4)
& left_apart_point(X1,reverse_line(X4))
& left_apart_point(X2,X4)
& left_apart_point(X5,reverse_line(X4))
& ~ convergent_lines(X3,X4)
& left_apart_point(X0,X3)
& left_apart_point(X1,X3) )
=> ( left_apart_point(sK2,reverse_line(sK3))
& left_apart_point(sK5,reverse_line(sK3))
& left_apart_point(sK0,sK4)
& left_apart_point(sK1,reverse_line(sK4))
& left_apart_point(sK2,sK4)
& left_apart_point(sK5,reverse_line(sK4))
& ~ convergent_lines(sK3,sK4)
& left_apart_point(sK0,sK3)
& left_apart_point(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
? [X0,X1,X2,X3,X4,X5] :
( left_apart_point(X2,reverse_line(X3))
& left_apart_point(X5,reverse_line(X3))
& left_apart_point(X0,X4)
& left_apart_point(X1,reverse_line(X4))
& left_apart_point(X2,X4)
& left_apart_point(X5,reverse_line(X4))
& ~ convergent_lines(X3,X4)
& left_apart_point(X0,X3)
& left_apart_point(X1,X3) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
? [X2,X4,X3,X0,X1,X5] :
( left_apart_point(X3,reverse_line(X0))
& left_apart_point(X5,reverse_line(X0))
& left_apart_point(X2,X1)
& left_apart_point(X4,reverse_line(X1))
& left_apart_point(X3,X1)
& left_apart_point(X5,reverse_line(X1))
& ~ convergent_lines(X0,X1)
& left_apart_point(X2,X0)
& left_apart_point(X4,X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
? [X5,X3,X0,X4,X2,X1] :
( ~ convergent_lines(X0,X1)
& left_apart_point(X4,reverse_line(X1))
& left_apart_point(X4,X0)
& left_apart_point(X3,reverse_line(X0))
& left_apart_point(X5,reverse_line(X0))
& left_apart_point(X2,X0)
& left_apart_point(X5,reverse_line(X1))
& left_apart_point(X3,X1)
& left_apart_point(X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X5,X3,X0,X4,X2,X1] :
( ( left_apart_point(X4,reverse_line(X1))
& left_apart_point(X4,X0)
& left_apart_point(X3,reverse_line(X0))
& left_apart_point(X5,reverse_line(X0))
& left_apart_point(X2,X0)
& left_apart_point(X5,reverse_line(X1))
& left_apart_point(X3,X1)
& left_apart_point(X2,X1) )
=> convergent_lines(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X0,X6,X4,X3] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X2)
& left_apart_point(X6,X2)
& left_apart_point(X4,X1)
& left_apart_point(X3,reverse_line(X2))
& left_apart_point(X4,reverse_line(X2))
& left_apart_point(X0,X1)
& left_apart_point(X6,reverse_line(X1)) )
=> convergent_lines(X1,X2) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2,X0,X6,X4,X3] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X2)
& left_apart_point(X6,X2)
& left_apart_point(X4,X1)
& left_apart_point(X3,reverse_line(X2))
& left_apart_point(X4,reverse_line(X2))
& left_apart_point(X0,X1)
& left_apart_point(X6,reverse_line(X1)) )
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f148,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO247+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13 % 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 : n028.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 21:43:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (30887)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (30887)First to succeed.
% 0.19/0.49 % (30895)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)
% 0.19/0.49 % (30887)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (30887)------------------------------
% 0.19/0.49 % (30887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (30887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (30887)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (30887)Memory used [KB]: 5500
% 0.19/0.49 % (30887)Time elapsed: 0.075 s
% 0.19/0.49 % (30887)Instructions burned: 2 (million)
% 0.19/0.49 % (30887)------------------------------
% 0.19/0.49 % (30887)------------------------------
% 0.19/0.49 % (30879)Success in time 0.145 s
%------------------------------------------------------------------------------