TSTP Solution File: GEO244+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO244+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 : n009.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 16:09:29 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 : 13 ( 3 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 1 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 27 ( 15 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(subsumption_resolution,[],[f66,f60]) ).
fof(f60,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f66,plain,
left_apart_point(sK1,reverse_line(line_connecting(sK0,sK2))),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( distinct_points(sK0,sK2)
& ~ left_apart_point(sK1,line_connecting(sK2,sK0))
& left_apart_point(sK1,reverse_line(line_connecting(sK0,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X2)
& ~ left_apart_point(X1,line_connecting(X2,X0))
& left_apart_point(X1,reverse_line(line_connecting(X0,X2))) )
=> ( distinct_points(sK0,sK2)
& ~ left_apart_point(sK1,line_connecting(sK2,sK0))
& left_apart_point(sK1,reverse_line(line_connecting(sK0,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( distinct_points(X0,X2)
& ~ left_apart_point(X1,line_connecting(X2,X0))
& left_apart_point(X1,reverse_line(line_connecting(X0,X2))) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
? [X0,X2,X1] :
( distinct_points(X0,X1)
& ~ left_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1))) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
=> left_apart_point(X2,line_connecting(X1,X0)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X4,line_connecting(X3,X0)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X4,line_connecting(X3,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO244+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:31:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (18834)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49 % (18852)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.49 % (18834)First to succeed.
% 0.20/0.49 % (18835)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.49 % (18843)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (18834)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 % (18834)------------------------------
% 0.20/0.50 % (18834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18834)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (18834)Memory used [KB]: 5884
% 0.20/0.50 % (18834)Time elapsed: 0.005 s
% 0.20/0.50 % (18834)Instructions burned: 2 (million)
% 0.20/0.50 % (18834)------------------------------
% 0.20/0.50 % (18834)------------------------------
% 0.20/0.50 % (18826)Success in time 0.151 s
%------------------------------------------------------------------------------