TSTP Solution File: GEO264+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO264+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 : 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 16:09:36 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 47 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 45 ( 14 ~; 1 |; 23 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 36 ( 20 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(resolution,[],[f149,f164]) ).
fof(f164,plain,
left_apart_point(sK1,sF8),
inference(definition_folding,[],[f124,f162]) ).
fof(f162,plain,
line_connecting(sK0,sK2) = sF8,
introduced(function_definition,[]) ).
fof(f124,plain,
left_apart_point(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( left_apart_point(sK3,reverse_line(line_connecting(sK2,sK1)))
& left_apart_point(sK3,reverse_line(line_connecting(sK1,sK0)))
& ~ left_apart_point(sK3,line_connecting(sK0,sK2))
& left_apart_point(sK1,line_connecting(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f103,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3] :
( left_apart_point(X3,reverse_line(line_connecting(X2,X1)))
& left_apart_point(X3,reverse_line(line_connecting(X1,X0)))
& ~ left_apart_point(X3,line_connecting(X0,X2))
& left_apart_point(X1,line_connecting(X0,X2)) )
=> ( left_apart_point(sK3,reverse_line(line_connecting(sK2,sK1)))
& left_apart_point(sK3,reverse_line(line_connecting(sK1,sK0)))
& ~ left_apart_point(sK3,line_connecting(sK0,sK2))
& left_apart_point(sK1,line_connecting(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0,X1,X2,X3] :
( left_apart_point(X3,reverse_line(line_connecting(X2,X1)))
& left_apart_point(X3,reverse_line(line_connecting(X1,X0)))
& ~ left_apart_point(X3,line_connecting(X0,X2))
& left_apart_point(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
? [X1,X2,X0,X3] :
( left_apart_point(X3,reverse_line(line_connecting(X0,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X1)))
& ~ left_apart_point(X3,line_connecting(X1,X0))
& left_apart_point(X2,line_connecting(X1,X0)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X1,X0,X3,X2] :
( ~ left_apart_point(X3,line_connecting(X1,X0))
& left_apart_point(X3,reverse_line(line_connecting(X0,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X1)))
& left_apart_point(X2,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0,X3,X2] :
( left_apart_point(X2,line_connecting(X1,X0))
=> ( ( left_apart_point(X3,reverse_line(line_connecting(X0,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X1))) )
=> left_apart_point(X3,line_connecting(X1,X0)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X0,X4,X6] :
( left_apart_point(X4,line_connecting(X0,X3))
=> ( ( left_apart_point(X6,reverse_line(line_connecting(X4,X0)))
& left_apart_point(X6,reverse_line(line_connecting(X3,X4))) )
=> left_apart_point(X6,line_connecting(X0,X3)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X0,X4,X6] :
( left_apart_point(X4,line_connecting(X0,X3))
=> ( ( left_apart_point(X6,reverse_line(line_connecting(X4,X0)))
& left_apart_point(X6,reverse_line(line_connecting(X3,X4))) )
=> left_apart_point(X6,line_connecting(X0,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f149,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ~ 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,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO264+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:43:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 % (29739)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.45 % (29749)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.45 % (29739)First to succeed.
% 0.19/0.46 % (29739)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 % (29739)------------------------------
% 0.19/0.46 % (29739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (29739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (29739)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (29739)Memory used [KB]: 6012
% 0.19/0.46 % (29739)Time elapsed: 0.080 s
% 0.19/0.46 % (29739)Instructions burned: 3 (million)
% 0.19/0.46 % (29739)------------------------------
% 0.19/0.46 % (29739)------------------------------
% 0.19/0.46 % (29735)Success in time 0.118 s
%------------------------------------------------------------------------------