TSTP Solution File: GEO172+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO172+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 : n029.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 16:08:55 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 50 ~; 51 |; 24 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 94 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(subsumption_resolution,[],[f212,f175]) ).
fof(f175,plain,
distinct_points(sK2,intersection_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f149,f162]) ).
fof(f162,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f149,plain,
~ equal_points(sK2,intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( incident_point_and_line(sK2,sK1)
& convergent_lines(sK1,sK0)
& ~ equal_points(sK2,intersection_point(sK1,sK0))
& incident_point_and_line(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2] :
( incident_point_and_line(X2,X1)
& convergent_lines(X1,X0)
& ~ equal_points(X2,intersection_point(X1,X0))
& incident_point_and_line(X2,X0) )
=> ( incident_point_and_line(sK2,sK1)
& convergent_lines(sK1,sK0)
& ~ equal_points(sK2,intersection_point(sK1,sK0))
& incident_point_and_line(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2] :
( incident_point_and_line(X2,X1)
& convergent_lines(X1,X0)
& ~ equal_points(X2,intersection_point(X1,X0))
& incident_point_and_line(X2,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
? [X1,X0,X2] :
( incident_point_and_line(X2,X0)
& convergent_lines(X0,X1)
& ~ equal_points(X2,intersection_point(X0,X1))
& incident_point_and_line(X2,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X1,X2,X0] :
( ~ equal_points(X2,intersection_point(X0,X1))
& convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X2,X0] :
( ( convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X2,X0] :
( ( convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f212,plain,
~ distinct_points(sK2,intersection_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f165,f174,f185,f168,f171,f155]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X2,X1,X0,X3] :
( ~ distinct_points(X1,X3)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X2,X3,X0] :
( ( distinct_points(X1,X3)
& distinct_lines(X0,X2) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X0,X4,X1] :
( ( 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,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f171,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f150,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
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(f150,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f168,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK0),
inference(unit_resulting_resolution,[],[f150,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f185,plain,
distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f134,f166,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f166,plain,
convergent_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f134,f150,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X2,X0] :
( 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(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f134,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f174,plain,
~ apart_point_and_line(sK2,sK1),
inference(unit_resulting_resolution,[],[f151,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( incident_point_and_line(X0,X1)
=> ~ apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f151,plain,
incident_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f165,plain,
~ apart_point_and_line(sK2,sK0),
inference(unit_resulting_resolution,[],[f148,f159]) ).
fof(f148,plain,
incident_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO172+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:33:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (14004)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)
% 0.20/0.50 % (14004)Instruction limit reached!
% 0.20/0.50 % (14004)------------------------------
% 0.20/0.50 % (14004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (14011)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.50 % (14004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (14004)Termination reason: Unknown
% 0.20/0.50 % (14004)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (14004)Memory used [KB]: 6012
% 0.20/0.50 % (14004)Time elapsed: 0.089 s
% 0.20/0.50 % (14004)Instructions burned: 4 (million)
% 0.20/0.50 % (14004)------------------------------
% 0.20/0.50 % (14004)------------------------------
% 0.20/0.50 % (14011)First to succeed.
% 0.20/0.50 % (14025)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)
% 0.20/0.51 % (14017)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)
% 0.20/0.51 % (14006)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)
% 0.20/0.51 % (14008)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (14007)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)
% 0.20/0.51 % (14009)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)
% 0.20/0.51 % (14021)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (14024)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (14001)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (14011)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 % (14011)------------------------------
% 0.20/0.52 % (14011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14011)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (14011)Memory used [KB]: 6012
% 0.20/0.52 % (14011)Time elapsed: 0.097 s
% 0.20/0.52 % (14011)Instructions burned: 7 (million)
% 0.20/0.52 % (14011)------------------------------
% 0.20/0.52 % (14011)------------------------------
% 0.20/0.52 % (13998)Success in time 0.162 s
%------------------------------------------------------------------------------