TSTP Solution File: GEO201+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n017.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 16:09:10 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 40 ~; 49 |; 10 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 78 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(subsumption_resolution,[],[f114,f82]) ).
fof(f82,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f50,f63,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X1,X0))
| ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X1,X0)
| distinct_points(X2,intersection_point(X1,X0)) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2)
| distinct_points(X0,intersection_point(X1,X2)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
=> distinct_points(X0,intersection_point(X1,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f63,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f58,f55,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f55,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( convergent_lines(sK0,sK1)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( convergent_lines(X0,X1)
& distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) )
=> ( convergent_lines(sK0,sK1)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1] :
( convergent_lines(X0,X1)
& distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X1,X0] :
( convergent_lines(X1,X0)
& distinct_points(intersection_point(X1,X0),intersection_point(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ distinct_points(intersection_point(X1,X0),intersection_point(X0,X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f58,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f50,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f114,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f61,f64,f65,f54,f81,f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X2,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X2,X3)
| ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X3,X0)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2)
| ~ distinct_points(X3,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X1,X3,X0] :
( ( distinct_lines(X1,X2)
& distinct_points(X3,X0) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X3,X4,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f81,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK0),
inference(unit_resulting_resolution,[],[f50,f63,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X1,X0))
| ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f50,f55,f51]) ).
fof(f64,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f50,f55,f52]) ).
fof(f61,plain,
distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f55,f48]) ).
fof(f48,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:59:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.47 % (3739)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)
% 0.21/0.48 % (3755)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)
% 0.21/0.49 % (3739)First to succeed.
% 0.21/0.49 % (3739)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (3739)------------------------------
% 0.21/0.49 % (3739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (3739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (3739)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (3739)Memory used [KB]: 5884
% 0.21/0.49 % (3739)Time elapsed: 0.077 s
% 0.21/0.49 % (3739)Instructions burned: 4 (million)
% 0.21/0.49 % (3739)------------------------------
% 0.21/0.49 % (3739)------------------------------
% 0.21/0.49 % (3731)Success in time 0.138 s
%------------------------------------------------------------------------------