TSTP Solution File: GEO243+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO243+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_uns --cores 0 -t %d %s
% Computer : n007.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 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 2 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f132,f126]) ).
fof(f126,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[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) ).
fof(f132,plain,
left_apart_point(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1)))
& left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) )
=> ( ~ left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1)))
& left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X2,X0,X1] :
( ~ left_apart_point(X1,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X1,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X0,X2,X1] :
( distinct_points(X0,X2)
=> ( left_apart_point(X1,line_connecting(X0,X2))
=> left_apart_point(X1,reverse_line(line_connecting(X2,X0))) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X4,X3] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,line_connecting(X0,X3))
=> left_apart_point(X4,reverse_line(line_connecting(X3,X0))) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X4,X3] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,line_connecting(X0,X3))
=> left_apart_point(X4,reverse_line(line_connecting(X3,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO243+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.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 21:18:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (24656)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (24646)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (24646)First to succeed.
% 0.20/0.49 % (24646)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (24646)------------------------------
% 0.20/0.49 % (24646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24646)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (24646)Memory used [KB]: 6012
% 0.20/0.49 % (24646)Time elapsed: 0.004 s
% 0.20/0.49 % (24646)Instructions burned: 2 (million)
% 0.20/0.49 % (24646)------------------------------
% 0.20/0.49 % (24646)------------------------------
% 0.20/0.49 % (24629)Success in time 0.134 s
%------------------------------------------------------------------------------