TSTP Solution File: GEO203+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO203+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 : n018.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 16:09:11 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 123 ( 45 ~; 38 |; 28 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(subsumption_resolution,[],[f201,f123]) ).
fof(f123,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))),
inference(unit_resulting_resolution,[],[f95,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f95,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f78,f79]) ).
fof(f79,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( ~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0)
& distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ~ equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X1,X0,X2] :
( ~ equal_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2))
& convergent_lines(X1,X2)
& convergent_lines(X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X1,X0,X2] :
( ~ equal_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1)
& convergent_lines(X1,X2)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2))
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0,X2] :
( ( convergent_lines(X1,X2)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2))
& convergent_lines(X1,X0) )
=> equal_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> equal_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f201,plain,
apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))),
inference(unit_resulting_resolution,[],[f124,f95,f125,f126,f120,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0,X3,X1,X2] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2,X3] :
( ( distinct_lines(X0,X2)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f120,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))),
inference(unit_resulting_resolution,[],[f95,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f126,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(unit_resulting_resolution,[],[f96,f110]) ).
fof(f110,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( equal_lines(X0,X1)
| distinct_lines(X0,X1) )
& ( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ( equal_lines(X1,X0)
| distinct_lines(X1,X0) )
& ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( equal_lines(X1,X0)
<=> ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f96,plain,
~ equal_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f125,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f94,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f94,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f80]) ).
fof(f124,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f93,f115]) ).
fof(f93,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 21:44:24 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (9389)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51 % (9393)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (9405)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (9392)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (9394)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (9400)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (9390)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52 % (9397)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)
% 0.21/0.52 % (9400)First to succeed.
% 0.21/0.52 % (9400)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (9400)------------------------------
% 0.21/0.52 % (9400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (9400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (9400)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (9400)Memory used [KB]: 6012
% 0.21/0.52 % (9400)Time elapsed: 0.120 s
% 0.21/0.52 % (9400)Instructions burned: 5 (million)
% 0.21/0.52 % (9400)------------------------------
% 0.21/0.52 % (9400)------------------------------
% 0.21/0.52 % (9388)Success in time 0.166 s
%------------------------------------------------------------------------------