TSTP Solution File: GEO196+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO196+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 : n025.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 23:31:41 EDT 2023
% Result : Theorem 0.24s 0.46s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 112 ( 37 ~; 32 |; 33 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 74 (; 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f297,f311]) ).
fof(f311,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl5_2 ),
inference(unit_resulting_resolution,[],[f182,f104,f299,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',ceq2) ).
fof(f299,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| spl5_2 ),
inference(unit_resulting_resolution,[],[f147,f118]) ).
fof(f118,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',a4) ).
fof(f147,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl5_2
<=> incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f104,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',cp2) ).
fof(f182,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(unit_resulting_resolution,[],[f153,f101,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',apart5) ).
fof(f101,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',apart2) ).
fof(f153,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(unit_resulting_resolution,[],[f106,f110]) ).
fof(f110,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.CPDBQfyy2Y/Vampire---4.8_13061',p1) ).
fof(f106,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',cp1) ).
fof(f297,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| spl5_1 ),
inference(unit_resulting_resolution,[],[f182,f104,f156,f124]) ).
fof(f156,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| spl5_1 ),
inference(unit_resulting_resolution,[],[f143,f118]) ).
fof(f143,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl5_1
<=> incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f148,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f99,f145,f141]) ).
fof(f99,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) )
& incident_point_and_line(intersection_point(sK0,sK1),sK3)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) )
& incident_point_and_line(intersection_point(sK0,sK1),sK3)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X2,X3),X1)
& incident_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.38 % Computer : n025.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Tue Aug 29 22:41:41 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 This is a FOF_THM_RFO_NEQ problem
% 0.17/0.39 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.CPDBQfyy2Y/Vampire---4.8_13061
% 0.17/0.39 % (13281)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (13287)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)
% 0.24/0.45 % (13283)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)
% 0.24/0.45 % (13285)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)
% 0.24/0.45 % (13284)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)
% 0.24/0.45 % (13286)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)
% 0.24/0.45 % (13288)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)
% 0.24/0.45 % (13282)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)
% 0.24/0.45 % (13287)First to succeed.
% 0.24/0.45 % (13283)Also succeeded, but the first one will report.
% 0.24/0.46 % (13287)Refutation found. Thanks to Tanya!
% 0.24/0.46 % SZS status Theorem for Vampire---4
% 0.24/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.46 % (13287)------------------------------
% 0.24/0.46 % (13287)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.46 % (13287)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.46 % (13287)Termination reason: Refutation
% 0.24/0.46
% 0.24/0.46 % (13287)Memory used [KB]: 5500
% 0.24/0.46 % (13287)Time elapsed: 0.006 s
% 0.24/0.46 % (13287)------------------------------
% 0.24/0.46 % (13287)------------------------------
% 0.24/0.46 % (13281)Success in time 0.066 s
% 0.24/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------