TSTP Solution File: GEO190+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO190+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 : n021.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 16:09:04 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 108 ( 33 ~; 29 |; 35 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 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 : 92 ( 80 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(unit_resulting_resolution,[],[f135,f166,f240,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f240,plain,
! [X2] : convergent_lines(line_connecting(sK1,sK0),parallel_through_point(X2,sK2)),
inference(resolution,[],[f186,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f186,plain,
! [X6] : distinct_lines(line_connecting(sK1,sK0),parallel_through_point(X6,sK2)),
inference(resolution,[],[f173,f126]) ).
fof(f126,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f173,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| distinct_lines(line_connecting(sK1,sK0),X0) ),
inference(resolution,[],[f172,f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f172,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(resolution,[],[f140,f155]) ).
fof(f155,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) )
& ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X1,X0] :
( ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) )
& ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f140,plain,
~ incident_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ~ incident_point_and_line(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK1)
& incident_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f110,f111]) ).
fof(f111,plain,
( ? [X0,X1,X2] :
( ~ incident_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2) )
=> ( ~ incident_point_and_line(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK1)
& incident_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
? [X2,X1,X0] :
( ~ incident_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X0)
& distinct_points(X2,X1)
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
? [X2,X1,X0] :
( ~ incident_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X0)
& distinct_points(X2,X0)
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( ( distinct_points(X1,X0)
& distinct_points(X2,X0)
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> incident_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& incident_point_and_line(X2,line_connecting(X0,X1)) )
=> incident_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& incident_point_and_line(X2,line_connecting(X0,X1)) )
=> incident_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f166,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(f135,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % 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 : n021.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 21:22:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (11098)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)
% 0.19/0.51 % (11098)Instruction limit reached!
% 0.19/0.51 % (11098)------------------------------
% 0.19/0.51 % (11098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11098)Termination reason: Unknown
% 0.19/0.51 % (11098)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (11098)Memory used [KB]: 6012
% 0.19/0.51 % (11098)Time elapsed: 0.115 s
% 0.19/0.51 % (11098)Instructions burned: 3 (million)
% 0.19/0.51 % (11098)------------------------------
% 0.19/0.51 % (11098)------------------------------
% 0.19/0.51 % (11101)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 % (11120)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)
% 0.19/0.51 % (11116)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)
% 0.19/0.51 % (11115)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)
% 0.19/0.51 % (11115)Instruction limit reached!
% 0.19/0.51 % (11115)------------------------------
% 0.19/0.51 % (11115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11099)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)
% 0.19/0.51 % (11120)First to succeed.
% 0.19/0.51 % (11115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11115)Termination reason: Unknown
% 0.19/0.51 % (11115)Termination phase: Preprocessing 2
% 0.19/0.51
% 0.19/0.51 % (11115)Memory used [KB]: 1407
% 0.19/0.51 % (11115)Time elapsed: 0.004 s
% 0.19/0.51 % (11115)Instructions burned: 2 (million)
% 0.19/0.51 % (11115)------------------------------
% 0.19/0.51 % (11115)------------------------------
% 0.19/0.52 % (11099)Refutation not found, incomplete strategy% (11099)------------------------------
% 0.19/0.52 % (11099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11099)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (11099)Memory used [KB]: 6012
% 0.19/0.52 % (11099)Time elapsed: 0.120 s
% 0.19/0.52 % (11099)Instructions burned: 2 (million)
% 0.19/0.52 % (11099)------------------------------
% 0.19/0.52 % (11099)------------------------------
% 0.19/0.52 % (11112)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)
% 0.19/0.52 % (11105)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)
% 0.19/0.52 % (11124)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)
% 0.19/0.52 % (11108)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)
% 0.19/0.52 % (11125)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (11116)Instruction limit reached!
% 0.19/0.52 % (11116)------------------------------
% 0.19/0.52 % (11116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11116)Termination reason: Unknown
% 0.19/0.52 % (11116)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (11116)Memory used [KB]: 6140
% 0.19/0.52 % (11116)Time elapsed: 0.138 s
% 0.19/0.52 % (11116)Instructions burned: 11 (million)
% 0.19/0.52 % (11116)------------------------------
% 0.19/0.52 % (11116)------------------------------
% 0.19/0.52 % (11122)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 % (11097)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)
% 0.19/0.53 % (11100)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)
% 0.19/0.53 % (11102)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)
% 0.19/0.53 % (11108)Instruction limit reached!
% 0.19/0.53 % (11108)------------------------------
% 0.19/0.53 % (11108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11108)Termination reason: Unknown
% 0.19/0.53 % (11108)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (11108)Memory used [KB]: 6012
% 0.19/0.53 % (11108)Time elapsed: 0.137 s
% 0.19/0.53 % (11108)Instructions burned: 8 (million)
% 0.19/0.53 % (11108)------------------------------
% 0.19/0.53 % (11108)------------------------------
% 0.19/0.53 % (11103)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)
% 0.19/0.53 % (11112)Instruction limit reached!
% 0.19/0.53 % (11112)------------------------------
% 0.19/0.53 % (11112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11112)Termination reason: Unknown
% 0.19/0.53 % (11112)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (11112)Memory used [KB]: 6012
% 0.19/0.53 % (11112)Time elapsed: 0.092 s
% 0.19/0.53 % (11112)Instructions burned: 7 (million)
% 0.19/0.53 % (11112)------------------------------
% 0.19/0.53 % (11112)------------------------------
% 0.19/0.53 % (11104)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)
% 0.19/0.53 % (11120)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (11120)------------------------------
% 0.19/0.53 % (11120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11120)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (11120)Memory used [KB]: 1535
% 0.19/0.53 % (11120)Time elapsed: 0.074 s
% 0.19/0.53 % (11120)Instructions burned: 7 (million)
% 0.19/0.53 % (11120)------------------------------
% 0.19/0.53 % (11120)------------------------------
% 0.19/0.53 % (11092)Success in time 0.181 s
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