TSTP Solution File: GEO243+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO243+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_uns --cores 0 -t %d %s
% Computer : n022.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 16:09:28 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 2 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(subsumption_resolution,[],[f79,f83]) ).
fof(f83,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f79,plain,
left_apart_point(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( left_apart_point(sK2,line_connecting(sK0,sK1))
& ~ right_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f71,f72]) ).
fof(f72,plain,
( ? [X0,X1,X2] :
( left_apart_point(X2,line_connecting(X0,X1))
& ~ right_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X0,X1) )
=> ( left_apart_point(sK2,line_connecting(sK0,sK1))
& ~ right_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
? [X0,X1,X2] :
( left_apart_point(X2,line_connecting(X0,X1))
& ~ right_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X0,X2,X1] :
( left_apart_point(X1,line_connecting(X0,X2))
& ~ right_apart_point(X1,line_connecting(X2,X0))
& distinct_points(X0,X2) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X1,X2,X0] :
( ~ right_apart_point(X1,line_connecting(X2,X0))
& left_apart_point(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X2,X0] :
( distinct_points(X0,X2)
=> ( left_apart_point(X1,line_connecting(X0,X2))
=> right_apart_point(X1,line_connecting(X2,X0)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X6,X5] :
( distinct_points(X2,X5)
=> ( left_apart_point(X6,line_connecting(X2,X5))
=> right_apart_point(X6,line_connecting(X5,X2)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X6,X5] :
( distinct_points(X2,X5)
=> ( left_apart_point(X6,line_connecting(X2,X5))
=> right_apart_point(X6,line_connecting(X5,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO243+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % 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 : n022.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 21:35:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (19054)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 % (19075)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50 % (19054)First to succeed.
% 0.20/0.50 % (19054)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 % (19054)------------------------------
% 0.20/0.50 % (19054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (19054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (19054)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (19054)Memory used [KB]: 5884
% 0.20/0.50 % (19054)Time elapsed: 0.003 s
% 0.20/0.50 % (19054)Instructions burned: 2 (million)
% 0.20/0.50 % (19054)------------------------------
% 0.20/0.50 % (19054)------------------------------
% 0.20/0.50 % (19050)Success in time 0.152 s
%------------------------------------------------------------------------------