TSTP Solution File: GEO202+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n006.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 16:09:10 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 38 ~; 47 |; 20 &)
% ( 0 <=>; 17 =>; 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 : 93 ( 87 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(unit_resulting_resolution,[],[f63,f68,f84,f91,f83,f85,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X3,X2] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X3,X1,X2] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X3,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X3,X1,X2] :
( ( distinct_lines(X0,X2)
& distinct_points(X3,X1) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X4,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( 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(f85,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f58,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X2,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) )
=> distinct_points(X1,intersection_point(X0,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,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(f58,plain,
convergent_lines(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
? [X0,X2,X1] :
( 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,X2)
& distinct_points(X1,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X2,X1] :
( 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(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X2,X1] :
( ( distinct_points(X1,X0)
& convergent_lines(line_connecting(X1,X2),line_connecting(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] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X0,X1] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f54,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(f83,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f54,f58,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f91,plain,
distinct_points(sK2,intersection_point(line_connecting(sK2,sK1),line_connecting(sK2,sK0))),
inference(unit_resulting_resolution,[],[f54,f59,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X2)
| distinct_points(X0,X1)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X2,X0] :
( distinct_points(X2,X1)
| ~ distinct_points(X0,X2)
| distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( distinct_points(X0,X2)
=> ( distinct_points(X0,X1)
| distinct_points(X2,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f59,plain,
distinct_points(intersection_point(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f84,plain,
distinct_lines(line_connecting(sK2,sK1),line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f58,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f68,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f57,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ~ distinct_points(X2,X0)
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0)) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
=> ( apart_point_and_line(X1,line_connecting(X2,X0))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f57,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f54,f56,f52]) ).
fof(f56,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:34:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % (1067)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)
% 0.19/0.45 % (1055)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)
% 0.19/0.45 % (1059)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)
% 0.19/0.46 % (1059)Instruction limit reached!
% 0.19/0.46 % (1059)------------------------------
% 0.19/0.46 % (1059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (1059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (1059)Termination reason: Unknown
% 0.19/0.46 % (1059)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (1059)Memory used [KB]: 6012
% 0.19/0.46 % (1059)Time elapsed: 0.058 s
% 0.19/0.46 % (1059)Instructions burned: 7 (million)
% 0.19/0.46 % (1059)------------------------------
% 0.19/0.46 % (1059)------------------------------
% 0.19/0.46 % (1055)Instruction limit reached!
% 0.19/0.46 % (1055)------------------------------
% 0.19/0.46 % (1055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (1055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (1055)Termination reason: Unknown
% 0.19/0.46 % (1055)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (1055)Memory used [KB]: 6012
% 0.19/0.46 % (1055)Time elapsed: 0.059 s
% 0.19/0.46 % (1055)Instructions burned: 8 (million)
% 0.19/0.46 % (1055)------------------------------
% 0.19/0.46 % (1055)------------------------------
% 0.19/0.48 % (1067)Instruction limit reached!
% 0.19/0.48 % (1067)------------------------------
% 0.19/0.48 % (1067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (1067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (1067)Termination reason: Unknown
% 0.19/0.48 % (1067)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (1067)Memory used [KB]: 1663
% 0.19/0.48 % (1067)Time elapsed: 0.073 s
% 0.19/0.48 % (1067)Instructions burned: 46 (million)
% 0.19/0.48 % (1067)------------------------------
% 0.19/0.48 % (1067)------------------------------
% 0.19/0.49 % (1052)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)
% 0.19/0.50 % (1052)First to succeed.
% 0.19/0.50 % (1048)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)
% 0.19/0.50 % (1047)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)
% 0.19/0.50 % (1053)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)
% 0.19/0.51 % (1053)Also succeeded, but the first one will report.
% 0.19/0.51 % (1042)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (1045)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 % (1069)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)
% 0.19/0.51 % (1060)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)
% 0.19/0.51 % (1072)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 % (1046)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 % (1064)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (1052)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1052)------------------------------
% 0.19/0.52 % (1052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1052)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1052)Memory used [KB]: 6012
% 0.19/0.52 % (1052)Time elapsed: 0.105 s
% 0.19/0.52 % (1052)Instructions burned: 9 (million)
% 0.19/0.52 % (1052)------------------------------
% 0.19/0.52 % (1052)------------------------------
% 0.19/0.52 % (1040)Success in time 0.178 s
%------------------------------------------------------------------------------