TSTP Solution File: GEO252+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO252+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 : n027.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 16:12:28 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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 : 50 ( 19 ~; 8 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 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(f182,plain,
$false,
inference(resolution,[],[f160,f136]) ).
fof(f136,plain,
left_apart_point(sK0,sK1),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( right_apart_point(sK2,sK1)
& ( ~ left_convergent_lines(line_connecting(sK0,sK2),sK1)
| ~ distinct_points(sK0,sK2) )
& left_apart_point(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( right_apart_point(X2,X1)
& ( ~ left_convergent_lines(line_connecting(X0,X2),X1)
| ~ distinct_points(X0,X2) )
& left_apart_point(X0,X1) )
=> ( right_apart_point(sK2,sK1)
& ( ~ left_convergent_lines(line_connecting(sK0,sK2),sK1)
| ~ distinct_points(sK0,sK2) )
& left_apart_point(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2] :
( right_apart_point(X2,X1)
& ( ~ left_convergent_lines(line_connecting(X0,X2),X1)
| ~ distinct_points(X0,X2) )
& left_apart_point(X0,X1) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
? [X2,X1,X0] :
( right_apart_point(X0,X1)
& ( ~ left_convergent_lines(line_connecting(X2,X0),X1)
| ~ distinct_points(X2,X0) )
& left_apart_point(X2,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X1,X2,X0] :
( ( ~ left_convergent_lines(line_connecting(X2,X0),X1)
| ~ distinct_points(X2,X0) )
& right_apart_point(X0,X1)
& left_apart_point(X2,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
~ ! [X1,X2,X0] :
( ( right_apart_point(X0,X1)
& left_apart_point(X2,X1) )
=> ( left_convergent_lines(line_connecting(X2,X0),X1)
& distinct_points(X2,X0) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X5,X3,X2] :
( ( left_apart_point(X2,X3)
& right_apart_point(X5,X3) )
=> ( left_convergent_lines(line_connecting(X2,X5),X3)
& distinct_points(X2,X5) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X5,X3,X2] :
( ( left_apart_point(X2,X3)
& right_apart_point(X5,X3) )
=> ( left_convergent_lines(line_connecting(X2,X5),X3)
& distinct_points(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f160,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO252+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:49:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (905)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (908)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (914)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (897)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (897)First to succeed.
% 0.19/0.51 % (897)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (897)------------------------------
% 0.19/0.51 % (897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (897)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (897)Memory used [KB]: 5500
% 0.19/0.51 % (897)Time elapsed: 0.108 s
% 0.19/0.51 % (897)Instructions burned: 2 (million)
% 0.19/0.51 % (897)------------------------------
% 0.19/0.51 % (897)------------------------------
% 0.19/0.51 % (889)Success in time 0.161 s
%------------------------------------------------------------------------------