TSTP Solution File: GEO264+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO264+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_sat --cores 0 -t %d %s
% Computer : n024.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 16:12:31 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 : 14 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 44 ( 13 ~; 2 |; 22 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 20 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f162,f132]) ).
fof(f132,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(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(f162,plain,
left_apart_point(sK0,line_connecting(sK1,sK3)),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( left_apart_point(sK0,line_connecting(sK1,sK3))
& right_apart_point(sK2,line_connecting(sK0,sK1))
& ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& right_apart_point(sK2,line_connecting(sK3,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2,X3] :
( left_apart_point(X0,line_connecting(X1,X3))
& right_apart_point(X2,line_connecting(X0,X1))
& ~ left_apart_point(X2,line_connecting(X1,X3))
& right_apart_point(X2,line_connecting(X3,X0)) )
=> ( left_apart_point(sK0,line_connecting(sK1,sK3))
& right_apart_point(sK2,line_connecting(sK0,sK1))
& ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& right_apart_point(sK2,line_connecting(sK3,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2,X3] :
( left_apart_point(X0,line_connecting(X1,X3))
& right_apart_point(X2,line_connecting(X0,X1))
& ~ left_apart_point(X2,line_connecting(X1,X3))
& right_apart_point(X2,line_connecting(X3,X0)) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
? [X1,X2,X0,X3] :
( left_apart_point(X1,line_connecting(X2,X3))
& right_apart_point(X0,line_connecting(X1,X2))
& ~ left_apart_point(X0,line_connecting(X2,X3))
& right_apart_point(X0,line_connecting(X3,X1)) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X3,X0,X2,X1] :
( ~ left_apart_point(X0,line_connecting(X2,X3))
& right_apart_point(X0,line_connecting(X3,X1))
& right_apart_point(X0,line_connecting(X1,X2))
& left_apart_point(X1,line_connecting(X2,X3)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ! [X3,X0,X2,X1] :
( left_apart_point(X1,line_connecting(X2,X3))
=> ( ( right_apart_point(X0,line_connecting(X3,X1))
& right_apart_point(X0,line_connecting(X1,X2)) )
=> left_apart_point(X0,line_connecting(X2,X3)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X8,X6,X2,X5] :
( left_apart_point(X6,line_connecting(X2,X5))
=> ( ( right_apart_point(X8,line_connecting(X6,X2))
& right_apart_point(X8,line_connecting(X5,X6)) )
=> left_apart_point(X8,line_connecting(X2,X5)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X8,X6,X2,X5] :
( left_apart_point(X6,line_connecting(X2,X5))
=> ( ( right_apart_point(X8,line_connecting(X6,X2))
& right_apart_point(X8,line_connecting(X5,X6)) )
=> left_apart_point(X8,line_connecting(X2,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO264+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n024.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:36:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (9882)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49 % (9882)First to succeed.
% 0.20/0.50 % (9882)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 % (9882)------------------------------
% 0.20/0.50 % (9882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (9882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (9882)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (9882)Memory used [KB]: 5500
% 0.20/0.50 % (9882)Time elapsed: 0.094 s
% 0.20/0.50 % (9882)Instructions burned: 3 (million)
% 0.20/0.50 % (9882)------------------------------
% 0.20/0.50 % (9882)------------------------------
% 0.20/0.50 % (9874)Success in time 0.143 s
%------------------------------------------------------------------------------