TSTP Solution File: GEO197+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO197+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 : n003.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 16:09:08 EDT 2022
% Result : Theorem 1.32s 0.53s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 12 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 162 ( 51 ~; 58 |; 38 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[f142,f172,f180,f190]) ).
fof(f190,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| ~ spl3_7 ),
inference(unit_resulting_resolution,[],[f62,f50,f141,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2)
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f39,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(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( 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(f141,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl3_7
<=> apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f50,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(f62,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( convergent_lines(sK2,sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
& convergent_lines(sK2,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) )
=> ( convergent_lines(sK2,sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0)
& convergent_lines(sK2,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X2,X0] :
( convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2)
& apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X2,X0,X1] :
( apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X0,X1)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X0,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) )
=> ~ apart_point_and_line(intersection_point(X1,X2),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X1)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X1)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f180,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f175,plain,
( $false
| ~ spl3_6 ),
inference(unit_resulting_resolution,[],[f60,f50,f136,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ convergent_lines(X1,X2)
| distinct_points(X0,intersection_point(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f136,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl3_6
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f60,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f172,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| ~ spl3_5 ),
inference(unit_resulting_resolution,[],[f60,f50,f133,f53]) ).
fof(f133,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl3_5
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f142,plain,
( spl3_5
| spl3_7
| spl3_6 ),
inference(avatar_split_clause,[],[f138,f135,f140,f132]) ).
fof(f138,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK2,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(subsumption_resolution,[],[f123,f63]) ).
fof(f63,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f123,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK2,sK1),sK0)
| apart_point_and_line(intersection_point(sK2,sK1),sK1) ),
inference(resolution,[],[f75,f81]) ).
fof(f81,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK1)),
inference(resolution,[],[f71,f62]) ).
fof(f71,plain,
! [X0] :
( ~ convergent_lines(sK2,X0)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,X0)) ),
inference(resolution,[],[f61,f54]) ).
fof(f61,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f68,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X3,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| ~ distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0,X3] :
( ( distinct_lines(X1,X2)
& distinct_points(X0,X3) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X4,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f68,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f60,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( 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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO197+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 : n003.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 21:29:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (26523)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (26511)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (26523)Instruction limit reached!
% 0.20/0.50 % (26523)------------------------------
% 0.20/0.50 % (26523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (26523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (26523)Termination reason: Unknown
% 0.20/0.50 % (26523)Termination phase: Finite model building constraint generation
% 0.20/0.50
% 0.20/0.50 % (26523)Memory used [KB]: 5884
% 0.20/0.50 % (26523)Time elapsed: 0.104 s
% 0.20/0.50 % (26523)Instructions burned: 3 (million)
% 0.20/0.50 % (26523)------------------------------
% 0.20/0.50 % (26523)------------------------------
% 0.20/0.50 % (26531)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)
% 0.20/0.50 % (26519)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)
% 0.20/0.50 % (26519)Instruction limit reached!
% 0.20/0.50 % (26519)------------------------------
% 0.20/0.50 % (26519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (26519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (26519)Termination reason: Unknown
% 0.20/0.50 % (26519)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (26519)Memory used [KB]: 5884
% 0.20/0.50 % (26519)Time elapsed: 0.072 s
% 0.20/0.50 % (26519)Instructions burned: 4 (million)
% 0.20/0.50 % (26519)------------------------------
% 0.20/0.50 % (26519)------------------------------
% 0.20/0.50 % (26534)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)
% 0.20/0.51 % (26526)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)
% 0.20/0.51 % (26512)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 % (26517)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)
% 0.20/0.51 % (26528)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 % (26534)First to succeed.
% 0.20/0.52 % (26507)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)
% 0.20/0.52 % (26507)Instruction limit reached!
% 0.20/0.52 % (26507)------------------------------
% 0.20/0.52 % (26507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26507)Termination reason: Unknown
% 0.20/0.52 % (26507)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26507)Memory used [KB]: 5884
% 0.20/0.52 % (26507)Time elapsed: 0.114 s
% 0.20/0.52 % (26507)Instructions burned: 4 (million)
% 0.20/0.52 % (26507)------------------------------
% 0.20/0.52 % (26507)------------------------------
% 0.20/0.52 % (26521)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)
% 0.20/0.52 % (26510)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)
% 0.20/0.52 % (26508)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)
% 0.20/0.52 % (26508)Refutation not found, incomplete strategy% (26508)------------------------------
% 0.20/0.52 % (26508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26508)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (26508)Memory used [KB]: 5884
% 0.20/0.52 % (26508)Time elapsed: 0.125 s
% 0.20/0.52 % (26508)Instructions burned: 3 (million)
% 0.20/0.52 % (26508)------------------------------
% 0.20/0.52 % (26508)------------------------------
% 0.20/0.52 % (26506)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)
% 0.20/0.52 % (26530)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)
% 1.32/0.53 % (26534)Refutation found. Thanks to Tanya!
% 1.32/0.53 % SZS status Theorem for theBenchmark
% 1.32/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53 % (26534)------------------------------
% 1.32/0.53 % (26534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (26534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (26534)Termination reason: Refutation
% 1.32/0.53
% 1.32/0.53 % (26534)Memory used [KB]: 6012
% 1.32/0.53 % (26534)Time elapsed: 0.124 s
% 1.32/0.53 % (26534)Instructions burned: 6 (million)
% 1.32/0.53 % (26534)------------------------------
% 1.32/0.53 % (26534)------------------------------
% 1.32/0.53 % (26503)Success in time 0.17 s
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