TSTP Solution File: GEO173+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 30 23:31:23 EDT 2023
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 159 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 154 ( 53 ~; 58 |; 28 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 79 (; 67 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f148,f153,f259,f263,f267]) ).
fof(f267,plain,
~ spl5_9,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl5_9 ),
inference(resolution,[],[f252,f97]) ).
fof(f97,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',con) ).
fof(f252,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl5_9
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f263,plain,
~ spl5_8,
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| ~ spl5_8 ),
inference(resolution,[],[f249,f98]) ).
fof(f98,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f249,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl5_8
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f259,plain,
( spl5_8
| spl5_3
| spl5_2
| spl5_9 ),
inference(avatar_split_clause,[],[f244,f251,f144,f151,f248]) ).
fof(f151,plain,
( spl5_3
<=> apart_point_and_line(sK1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f144,plain,
( spl5_2
<=> apart_point_and_line(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f244,plain,
( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sF4)
| apart_point_and_line(sK1,sF4)
| apart_point_and_line(sK1,sK2) ),
inference(resolution,[],[f231,f207]) ).
fof(f207,plain,
distinct_lines(sF4,sK2),
inference(resolution,[],[f162,f101]) ).
fof(f101,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',apart3) ).
fof(f162,plain,
! [X1] :
( convergent_lines(sK2,X1)
| distinct_lines(sF4,X1) ),
inference(resolution,[],[f122,f138]) ).
fof(f138,plain,
convergent_lines(sK2,sF4),
inference(resolution,[],[f109,f136]) ).
fof(f136,plain,
distinct_lines(sK2,sF4),
inference(definition_folding,[],[f96,f135]) ).
fof(f135,plain,
line_connecting(sK0,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f96,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f93]) ).
fof(f109,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',p1) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',ceq3) ).
fof(f231,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(resolution,[],[f134,f94]) ).
fof(f94,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',cu1) ).
fof(f153,plain,
( ~ spl5_1
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f149,f151,f141]) ).
fof(f141,plain,
( spl5_1
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f149,plain,
( ~ apart_point_and_line(sK1,sF4)
| ~ distinct_points(sK0,sK1) ),
inference(superposition,[],[f108,f135]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',ci2) ).
fof(f148,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f142,f94]) ).
fof(f142,plain,
( ~ distinct_points(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f146,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f139,f144,f141]) ).
fof(f139,plain,
( ~ apart_point_and_line(sK0,sF4)
| ~ distinct_points(sK0,sK1) ),
inference(superposition,[],[f107,f135]) ).
fof(f107,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778',ci1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 22:33:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.iJJKhpdey2/Vampire---4.8_2778
% 0.13/0.34 % (2886)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39 % (2891)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.39 % (2893)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.20/0.39 % (2889)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.20/0.39 % (2888)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.20/0.39 % (2890)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.20/0.39 % (2892)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.20/0.39 % (2887)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.20/0.40 % (2889)First to succeed.
% 0.20/0.40 % (2889)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for Vampire---4
% 0.20/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.40 % (2889)------------------------------
% 0.20/0.40 % (2889)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.40 % (2889)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.40 % (2889)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (2889)Memory used [KB]: 5628
% 0.20/0.40 % (2889)Time elapsed: 0.008 s
% 0.20/0.40 % (2889)------------------------------
% 0.20/0.40 % (2889)------------------------------
% 0.20/0.40 % (2886)Success in time 0.06 s
% 0.20/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------