TSTP Solution File: GEO215+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO215+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 : 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 16:09:17 EDT 2022
% Result : Theorem 1.42s 0.54s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 27 ~; 33 |; 6 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(unit_resulting_resolution,[],[f69,f70,f91,f95,f96,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X3,X0,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5)
| unorthogonal_lines(X5,X7)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f96,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(unit_resulting_resolution,[],[f81,f71,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) )
=> 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/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f71,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
? [X1,X0,X2] :
( convergent_lines(X2,X0)
& ~ unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X2,X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X0,X1)
& convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X2,X0,X1] :
( convergent_lines(X2,X0)
=> ( unorthogonal_lines(X2,X1)
| unorthogonal_lines(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X6,X7,X5] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X5,X7)
| unorthogonal_lines(X6,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X6,X7,X5] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X5,X7)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f81,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f95,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f81,f71,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f91,plain,
distinct_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f71,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f70,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f69,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 21:25:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (21618)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)
% 0.20/0.50 % (21610)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)
% 0.20/0.51 % (21610)Refutation not found, incomplete strategy% (21610)------------------------------
% 0.20/0.51 % (21610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21610)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (21610)Memory used [KB]: 6012
% 0.20/0.51 % (21610)Time elapsed: 0.094 s
% 0.20/0.51 % (21610)Instructions burned: 5 (million)
% 0.20/0.51 % (21610)------------------------------
% 0.20/0.51 % (21610)------------------------------
% 0.20/0.51 % (21599)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)
% 1.26/0.51 % (21609)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.26/0.52 % (21605)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)
% 1.26/0.52 % (21620)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)
% 1.26/0.52 % (21598)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)
% 1.26/0.52 % (21613)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)
% 1.26/0.53 % (21602)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)
% 1.26/0.53 % (21621)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.53 % (21622)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)
% 1.26/0.53 % (21607)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.26/0.53 % (21619)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)
% 1.42/0.53 % (21608)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)
% 1.42/0.53 % (21597)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.53 % (21614)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.53 % (21608)Refutation not found, incomplete strategy% (21608)------------------------------
% 1.42/0.53 % (21608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (21608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (21608)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.53
% 1.42/0.53 % (21608)Memory used [KB]: 5884
% 1.42/0.53 % (21608)Time elapsed: 0.126 s
% 1.42/0.53 % (21608)Instructions burned: 4 (million)
% 1.42/0.53 % (21608)------------------------------
% 1.42/0.53 % (21608)------------------------------
% 1.42/0.53 % (21617)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)
% 1.42/0.53 % (21614)Instruction limit reached!
% 1.42/0.53 % (21614)------------------------------
% 1.42/0.53 % (21614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (21614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (21614)Termination reason: Unknown
% 1.42/0.53 % (21614)Termination phase: Finite model building preprocessing
% 1.42/0.53
% 1.42/0.53 % (21614)Memory used [KB]: 5884
% 1.42/0.53 % (21614)Time elapsed: 0.004 s
% 1.42/0.53 % (21614)Instructions burned: 3 (million)
% 1.42/0.53 % (21614)------------------------------
% 1.42/0.53 % (21614)------------------------------
% 1.42/0.53 % (21607)Instruction limit reached!
% 1.42/0.53 % (21607)------------------------------
% 1.42/0.53 % (21607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (21607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (21607)Termination reason: Unknown
% 1.42/0.53 % (21607)Termination phase: Saturation
% 1.42/0.53
% 1.42/0.53 % (21607)Memory used [KB]: 6012
% 1.42/0.53 % (21607)Time elapsed: 0.128 s
% 1.42/0.53 % (21607)Instructions burned: 13 (million)
% 1.42/0.53 % (21607)------------------------------
% 1.42/0.53 % (21607)------------------------------
% 1.42/0.53 % (21611)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)
% 1.42/0.54 % (21601)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)
% 1.42/0.54 % (21623)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 % (21605)First to succeed.
% 1.42/0.54 % (21611)Instruction limit reached!
% 1.42/0.54 % (21611)------------------------------
% 1.42/0.54 % (21611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (21611)Termination reason: Unknown
% 1.42/0.54 % (21611)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (21611)Memory used [KB]: 5884
% 1.42/0.54 % (21611)Time elapsed: 0.105 s
% 1.42/0.54 % (21611)Instructions burned: 3 (million)
% 1.42/0.54 % (21611)------------------------------
% 1.42/0.54 % (21611)------------------------------
% 1.42/0.54 % (21599)Instruction limit reached!
% 1.42/0.54 % (21599)------------------------------
% 1.42/0.54 % (21599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (21599)Termination reason: Unknown
% 1.42/0.54 % (21599)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (21599)Memory used [KB]: 5884
% 1.42/0.54 % (21599)Time elapsed: 0.106 s
% 1.42/0.54 % (21599)Instructions burned: 3 (million)
% 1.42/0.54 % (21599)------------------------------
% 1.42/0.54 % (21599)------------------------------
% 1.42/0.54 % (21600)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)
% 1.42/0.54 % (21605)Refutation found. Thanks to Tanya!
% 1.42/0.54 % SZS status Theorem for theBenchmark
% 1.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54 % (21605)------------------------------
% 1.42/0.54 % (21605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (21605)Termination reason: Refutation
% 1.42/0.54
% 1.42/0.54 % (21605)Memory used [KB]: 6012
% 1.42/0.54 % (21605)Time elapsed: 0.144 s
% 1.42/0.54 % (21605)Instructions burned: 6 (million)
% 1.42/0.54 % (21605)------------------------------
% 1.42/0.54 % (21605)------------------------------
% 1.42/0.54 % (21596)Success in time 0.184 s
%------------------------------------------------------------------------------