TSTP Solution File: GEO202+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO202+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_sat --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 16:12:15 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 14 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 200 ( 70 ~; 86 |; 31 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 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 : 121 ( 112 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(subsumption_resolution,[],[f233,f73]) ).
fof(f73,plain,
! [X0] : distinct_points(X0,X0),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f66,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f233,plain,
~ distinct_points(sK1,sK1),
inference(subsumption_resolution,[],[f231,f81]) ).
fof(f81,plain,
~ distinct_points(sK1,sK0),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f60,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( distinct_points(sK1,sK2)
& distinct_points(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),sK1)
& distinct_points(sK1,sK0)
& convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( distinct_points(X1,X2)
& distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X0)),X1)
& distinct_points(X1,X0)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X0)) )
=> ( distinct_points(sK1,sK2)
& distinct_points(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),sK1)
& distinct_points(sK1,sK0)
& convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( distinct_points(X1,X2)
& distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X0)),X1)
& distinct_points(X1,X0)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X0)) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X1,X0,X2] :
( distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X0)),X1)
& convergent_lines(line_connecting(X1,X2),line_connecting(X1,X0))
& distinct_points(X1,X0)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X1,X0,X2] :
( ( convergent_lines(line_connecting(X1,X2),line_connecting(X1,X0))
& distinct_points(X1,X0)
& distinct_points(X1,X2) )
=> ~ distinct_points(intersection_point(line_connecting(X1,X2),line_connecting(X1,X0)),X1) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2)) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2)) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f231,plain,
( distinct_points(sK1,sK0)
| ~ distinct_points(sK1,sK1) ),
inference(resolution,[],[f224,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X2,X0)
| distinct_points(X0,X1) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( ~ distinct_points(X0,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X2,X1] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f224,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
inference(subsumption_resolution,[],[f223,f75]) ).
fof(f75,plain,
~ distinct_points(sK1,sK2),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f62,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f223,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| distinct_points(sK1,sK2) ),
inference(subsumption_resolution,[],[f221,f73]) ).
fof(f221,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK1)
| distinct_points(sK1,sK2) ),
inference(resolution,[],[f220,f83]) ).
fof(f220,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK2))
| ~ apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
inference(subsumption_resolution,[],[f212,f77]) ).
fof(f77,plain,
~ convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f59,plain,
convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f47]) ).
fof(f212,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| convergent_lines(line_connecting(sK1,sK2),line_connecting(sK1,sK0))
| ~ apart_point_and_line(sK1,line_connecting(sK1,sK2)) ),
inference(resolution,[],[f144,f70]) ).
fof(f70,plain,
~ distinct_points(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),sK1),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f61,plain,
distinct_points(intersection_point(line_connecting(sK1,sK2),line_connecting(sK1,sK0)),sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f144,plain,
! [X3,X4,X5] :
( distinct_points(intersection_point(X3,X4),X5)
| convergent_lines(X3,X4)
| ~ apart_point_and_line(X5,X4)
| ~ apart_point_and_line(X5,X3) ),
inference(subsumption_resolution,[],[f141,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f141,plain,
! [X3,X4,X5] :
( distinct_points(intersection_point(X3,X4),X5)
| convergent_lines(X3,X4)
| ~ apart_point_and_line(X5,X3)
| distinct_lines(X3,X4)
| ~ apart_point_and_line(X5,X4) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X3,X4,X5] :
( convergent_lines(X3,X4)
| ~ apart_point_and_line(X5,X4)
| ~ apart_point_and_line(X5,X3)
| distinct_lines(X3,X4)
| distinct_points(intersection_point(X3,X4),X5)
| convergent_lines(X3,X4) ),
inference(resolution,[],[f101,f93]) ).
fof(f93,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f79,f73]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,intersection_point(X2,X1))
| convergent_lines(X2,X1)
| apart_point_and_line(X0,X2) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( distinct_points(X0,intersection_point(X2,X1))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X2,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X0] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ apart_point_and_line(intersection_point(X2,X1),X0)
| distinct_points(intersection_point(X2,X1),X3)
| convergent_lines(X2,X1)
| ~ apart_point_and_line(X3,X0)
| ~ apart_point_and_line(X3,X1)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f74,f91]) ).
fof(f91,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f76,f73]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,intersection_point(X2,X1))
| convergent_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ apart_point_and_line(X3,X1)
| distinct_lines(X0,X1)
| distinct_points(X3,X2)
| ~ apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X3,X0) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X3,X2)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X3,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X3,X0,X1,X2] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X3,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X3,X0,X1,X2] :
( ( distinct_lines(X3,X0)
& distinct_points(X1,X2) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X1,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 21:00:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (4911)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48 % (4903)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (4908)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48 % (4916)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 TRYING [4]
% 0.19/0.49 TRYING [5]
% 0.19/0.49 % (4906)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (4924)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.50 TRYING [6]
% 0.19/0.51 % (4916)First to succeed.
% 0.19/0.51 % (4916)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4916)------------------------------
% 0.19/0.51 % (4916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4916)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4916)Memory used [KB]: 1023
% 0.19/0.51 % (4916)Time elapsed: 0.104 s
% 0.19/0.51 % (4916)Instructions burned: 23 (million)
% 0.19/0.51 % (4916)------------------------------
% 0.19/0.51 % (4916)------------------------------
% 0.19/0.51 % (4896)Success in time 0.166 s
%------------------------------------------------------------------------------