TSTP Solution File: GEO240+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO240+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 : n014.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 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 20 ~; 2 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(subsumption_resolution,[],[f76,f82]) ).
fof(f82,plain,
! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
~ ( 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/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f76,plain,
left_apart_point(sK2,reverse_line(sK1)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( left_apart_point(sK2,reverse_line(sK1))
& ~ left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f63,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2] :
( left_apart_point(X2,reverse_line(X1))
& ~ left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ apart_point_and_line(X0,X1) )
=> ( left_apart_point(sK2,reverse_line(sK1))
& ~ left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1,X2] :
( left_apart_point(X2,reverse_line(X1))
& ~ left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ~ left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& left_apart_point(X2,reverse_line(X1))
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( ( left_apart_point(X2,reverse_line(X1))
& ~ apart_point_and_line(X0,X1) )
=> left_convergent_lines(X1,reverse_line(line_connecting(X0,X2))) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X3] :
( ( ~ apart_point_and_line(X0,X1)
& left_apart_point(X3,reverse_line(X1)) )
=> left_convergent_lines(X1,reverse_line(line_connecting(X0,X3))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X1,X3] :
( ( ~ apart_point_and_line(X0,X1)
& left_apart_point(X3,reverse_line(X1)) )
=> left_convergent_lines(X1,reverse_line(line_connecting(X0,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO240+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % 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 : n014.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 21:34:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (8426)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (8442)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49 % (8427)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (8426)First to succeed.
% 0.20/0.50 % (8426)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 % (8426)------------------------------
% 0.20/0.50 % (8426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (8426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (8426)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (8426)Memory used [KB]: 5884
% 0.20/0.50 % (8426)Time elapsed: 0.004 s
% 0.20/0.50 % (8426)Instructions burned: 2 (million)
% 0.20/0.50 % (8426)------------------------------
% 0.20/0.50 % (8426)------------------------------
% 0.20/0.50 % (8418)Success in time 0.147 s
%------------------------------------------------------------------------------