TSTP Solution File: GEO175+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO175+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 : n015.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 16:08:57 EDT 2022
% Result : Theorem 1.32s 0.54s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 143 ( 44 ~; 62 |; 28 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 75 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f310,f100]) ).
fof(f100,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK1),
inference(resolution,[],[f82,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f82,plain,
convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( convergent_lines(sK1,sK3)
& distinct_points(sK2,intersection_point(sK1,sK3))
& ~ apart_point_and_line(sK2,sK3)
& ~ apart_point_and_line(sK2,sK1)
& distinct_points(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f55,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X1,X3)
& distinct_points(X2,intersection_point(X1,X3))
& ~ apart_point_and_line(X2,X3)
& ~ apart_point_and_line(X2,X1)
& distinct_points(X2,X0) )
=> ( convergent_lines(sK1,sK3)
& distinct_points(sK2,intersection_point(sK1,sK3))
& ~ apart_point_and_line(sK2,sK3)
& ~ apart_point_and_line(sK2,sK1)
& distinct_points(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X1,X3)
& distinct_points(X2,intersection_point(X1,X3))
& ~ apart_point_and_line(X2,X3)
& ~ apart_point_and_line(X2,X1)
& distinct_points(X2,X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X1,X2,X0,X3] :
( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X3)
& distinct_points(X2,X0)
& distinct_points(X2,intersection_point(X1,X3))
& convergent_lines(X1,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X2,X0,X3] :
( ( distinct_points(X2,X0)
& distinct_points(X2,intersection_point(X1,X3))
& convergent_lines(X1,X3) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X3,X0,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X3,X0,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f310,plain,
apart_point_and_line(intersection_point(sK1,sK3),sK1),
inference(subsumption_resolution,[],[f307,f79]) ).
fof(f79,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f307,plain,
( apart_point_and_line(sK2,sK1)
| apart_point_and_line(intersection_point(sK1,sK3),sK1) ),
inference(resolution,[],[f208,f85]) ).
fof(f85,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(f208,plain,
! [X0] :
( convergent_lines(sK1,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(intersection_point(sK1,sK3),X0) ),
inference(subsumption_resolution,[],[f207,f80]) ).
fof(f80,plain,
~ apart_point_and_line(sK2,sK3),
inference(cnf_transformation,[],[f69]) ).
fof(f207,plain,
! [X0] :
( apart_point_and_line(intersection_point(sK1,sK3),X0)
| convergent_lines(sK1,X0)
| apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK2,X0) ),
inference(subsumption_resolution,[],[f194,f99]) ).
fof(f99,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK3),
inference(resolution,[],[f82,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f194,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(intersection_point(sK1,sK3),sK3)
| apart_point_and_line(intersection_point(sK1,sK3),X0)
| apart_point_and_line(sK2,sK3)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f117,f82]) ).
fof(f117,plain,
! [X3,X4,X5] :
( ~ convergent_lines(X5,X4)
| apart_point_and_line(intersection_point(sK1,sK3),X3)
| apart_point_and_line(sK2,X3)
| convergent_lines(X5,X3)
| apart_point_and_line(intersection_point(sK1,sK3),X4)
| apart_point_and_line(sK2,X4) ),
inference(resolution,[],[f103,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f103,plain,
! [X2,X1] :
( ~ distinct_lines(X2,X1)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK2,X2)
| apart_point_and_line(intersection_point(sK1,sK3),X1)
| apart_point_and_line(intersection_point(sK1,sK3),X2) ),
inference(resolution,[],[f81,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,X0)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X1)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X3,X2,X1] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X3,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X3,X2,X1] :
( ( distinct_points(X3,X2)
& distinct_lines(X0,X1) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X4,X1,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f81,plain,
distinct_points(sK2,intersection_point(sK1,sK3)),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO175+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
% 0.13/0.34 % Computer : n015.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 21:35:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (29799)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)
% 0.19/0.51 % (29798)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)
% 0.19/0.52 % (29801)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)
% 0.19/0.52 % (29816)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)
% 0.19/0.53 % (29812)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (29807)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (29821)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (29808)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (29812)Instruction limit reached!
% 0.19/0.53 % (29812)------------------------------
% 0.19/0.53 % (29812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29796)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)
% 0.19/0.53 % (29819)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (29795)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)
% 1.32/0.53 % (29808)Instruction limit reached!
% 1.32/0.53 % (29808)------------------------------
% 1.32/0.53 % (29808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (29808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (29808)Termination reason: Unknown
% 1.32/0.53 % (29808)Termination phase: Saturation
% 1.32/0.53
% 1.32/0.53 % (29808)Memory used [KB]: 6012
% 1.32/0.53 % (29808)Time elapsed: 0.005 s
% 1.32/0.53 % (29808)Instructions burned: 3 (million)
% 1.32/0.53 % (29808)------------------------------
% 1.32/0.53 % (29808)------------------------------
% 1.32/0.53 % (29799)First to succeed.
% 1.32/0.53 % (29812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (29812)Termination reason: Unknown
% 1.32/0.53 % (29812)Termination phase: Saturation
% 1.32/0.53
% 1.32/0.53 % (29812)Memory used [KB]: 6012
% 1.32/0.53 % (29812)Time elapsed: 0.005 s
% 1.32/0.53 % (29812)Instructions burned: 2 (million)
% 1.32/0.53 % (29812)------------------------------
% 1.32/0.53 % (29812)------------------------------
% 1.32/0.53 % (29797)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)
% 1.32/0.53 % (29802)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)
% 1.32/0.53 % (29796)Instruction limit reached!
% 1.32/0.53 % (29796)------------------------------
% 1.32/0.53 % (29796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (29796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (29796)Termination reason: Unknown
% 1.32/0.53 % (29796)Termination phase: Saturation
% 1.32/0.53
% 1.32/0.53 % (29796)Memory used [KB]: 6012
% 1.32/0.53 % (29796)Time elapsed: 0.127 s
% 1.32/0.53 % (29796)Instructions burned: 3 (million)
% 1.32/0.53 % (29796)------------------------------
% 1.32/0.53 % (29796)------------------------------
% 1.32/0.53 % (29797)Refutation not found, incomplete strategy% (29797)------------------------------
% 1.32/0.53 % (29797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (29797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (29797)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (29797)Memory used [KB]: 6012
% 1.32/0.53 % (29797)Time elapsed: 0.132 s
% 1.32/0.53 % (29797)Instructions burned: 2 (million)
% 1.32/0.53 % (29797)------------------------------
% 1.32/0.53 % (29797)------------------------------
% 1.32/0.53 % (29800)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)
% 1.32/0.53 % (29815)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53 % (29805)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)
% 1.32/0.54 % (29810)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)
% 1.32/0.54 % (29798)Instruction limit reached!
% 1.32/0.54 % (29798)------------------------------
% 1.32/0.54 % (29798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54 % (29798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54 % (29798)Termination reason: Unknown
% 1.32/0.54 % (29798)Termination phase: Saturation
% 1.32/0.54
% 1.32/0.54 % (29798)Memory used [KB]: 6012
% 1.32/0.54 % (29798)Time elapsed: 0.141 s
% 1.32/0.54 % (29798)Instructions burned: 15 (million)
% 1.32/0.54 % (29798)------------------------------
% 1.32/0.54 % (29798)------------------------------
% 1.32/0.54 % (29815)Also succeeded, but the first one will report.
% 1.32/0.54 % (29803)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)
% 1.32/0.54 % (29799)Refutation found. Thanks to Tanya!
% 1.32/0.54 % SZS status Theorem for theBenchmark
% 1.32/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.54 % (29799)------------------------------
% 1.32/0.54 % (29799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54 % (29799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54 % (29799)Termination reason: Refutation
% 1.32/0.54
% 1.32/0.54 % (29799)Memory used [KB]: 1535
% 1.32/0.54 % (29799)Time elapsed: 0.135 s
% 1.32/0.54 % (29799)Instructions burned: 13 (million)
% 1.32/0.54 % (29799)------------------------------
% 1.32/0.54 % (29799)------------------------------
% 1.32/0.54 % (29793)Success in time 0.186 s
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