TSTP Solution File: GEO253+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO253+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 : n026.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 16:09:32 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 27 ~; 19 |; 16 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 51 ( 42 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(unit_resulting_resolution,[],[f128,f170,f147]) ).
fof(f147,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) )
& ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
<=> right_apart_point(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
fof(f170,plain,
right_apart_point(sK1,sK2),
inference(subsumption_resolution,[],[f169,f129]) ).
fof(f129,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f169,plain,
( right_apart_point(sK1,sK2)
| left_apart_point(sK1,sK2) ),
inference(resolution,[],[f151,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
| left_apart_point(X1,X0)
| right_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) )
& ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) )
<=> apart_point_and_line(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) )
<=> apart_point_and_line(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_defns) ).
fof(f151,plain,
apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ apart_point_and_line(sK0,sK2)
& apart_point_and_line(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X1,X2) )
=> ( ~ apart_point_and_line(sK0,sK2)
& apart_point_and_line(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X1,X2) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(X0,X1)
& apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ! [X1,X0,X2] :
( apart_point_and_line(X2,X1)
=> apart_point_and_line(X0,X1) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0,X2] :
( ( apart_point_and_line(X2,X1)
& incident_point_and_line(X0,parallel_through_point(X1,X2)) )
=> apart_point_and_line(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X5,X3,X2] :
( ( incident_point_and_line(X5,parallel_through_point(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X5,X3,X2] :
( ( incident_point_and_line(X5,parallel_through_point(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f128,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO253+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % 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 : n026.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 21:49:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (17810)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (17818)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)
% 0.20/0.50 % (17818)First to succeed.
% 0.20/0.50 % (17818)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 % (17818)------------------------------
% 0.20/0.50 % (17818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17818)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (17818)Memory used [KB]: 1535
% 0.20/0.50 % (17818)Time elapsed: 0.075 s
% 0.20/0.50 % (17818)Instructions burned: 3 (million)
% 0.20/0.50 % (17818)------------------------------
% 0.20/0.50 % (17818)------------------------------
% 0.20/0.50 % (17794)Success in time 0.143 s
%------------------------------------------------------------------------------