TSTP Solution File: GEO252+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n005.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 16:09:31 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 53 ( 21 ~; 8 |; 20 &)
% ( 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 : 31 ( 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(subsumption_resolution,[],[f102,f90]) ).
fof(f90,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f102,plain,
left_apart_point(sK1,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( right_apart_point(sK2,sK0)
& ( ~ distinct_points(sK1,sK2)
| ~ left_convergent_lines(line_connecting(sK1,sK2),sK0) )
& left_apart_point(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f79,f80]) ).
fof(f80,plain,
( ? [X0,X1,X2] :
( right_apart_point(X2,X0)
& ( ~ distinct_points(X1,X2)
| ~ left_convergent_lines(line_connecting(X1,X2),X0) )
& left_apart_point(X1,X0) )
=> ( right_apart_point(sK2,sK0)
& ( ~ distinct_points(sK1,sK2)
| ~ left_convergent_lines(line_connecting(sK1,sK2),sK0) )
& left_apart_point(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1,X2] :
( right_apart_point(X2,X0)
& ( ~ distinct_points(X1,X2)
| ~ left_convergent_lines(line_connecting(X1,X2),X0) )
& left_apart_point(X1,X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X1,X0,X2] :
( right_apart_point(X2,X1)
& ( ~ distinct_points(X0,X2)
| ~ left_convergent_lines(line_connecting(X0,X2),X1) )
& left_apart_point(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X2,X0,X1] :
( ( ~ distinct_points(X0,X2)
| ~ left_convergent_lines(line_connecting(X0,X2),X1) )
& right_apart_point(X2,X1)
& left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X2,X0,X1] :
( ( right_apart_point(X2,X1)
& left_apart_point(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X2),X1)
& distinct_points(X0,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X3,X5] :
( ( 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,
! [X2,X3,X5] :
( ( 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/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO252+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_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:34:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (20445)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (20437)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (20461)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (20445)First to succeed.
% 0.20/0.52 % (20445)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (20445)------------------------------
% 0.20/0.52 % (20445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (20445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20445)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (20445)Memory used [KB]: 5884
% 0.20/0.52 % (20445)Time elapsed: 0.004 s
% 0.20/0.52 % (20445)Instructions burned: 2 (million)
% 0.20/0.52 % (20445)------------------------------
% 0.20/0.52 % (20445)------------------------------
% 0.20/0.52 % (20434)Success in time 0.169 s
%------------------------------------------------------------------------------