TSTP Solution File: GEO196+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n005.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 23:31:40 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 171 ( 67 ~; 57 |; 34 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 96 (; 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f256,f289]) ).
fof(f289,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f278,f61]) ).
fof(f61,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f278,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(unit_resulting_resolution,[],[f69,f235,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',ceq1) ).
fof(f235,plain,
~ distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f72,f70,f43,f44,f78,f59]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,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,[],[f37]) ).
fof(f37,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,[],[f18]) ).
fof(f18,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/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',cu1) ).
fof(f78,plain,
distinct_lines(sK3,sK2),
inference(unit_resulting_resolution,[],[f48,f42,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,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/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',ceq3) ).
fof(f42,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK2,sK3),sK0) )
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
& ~ apart_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])],[f20,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) )
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK2,sK3),sK0) )
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) )
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) )
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',con) ).
fof(f48,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',apart3) ).
fof(f44,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f43,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f70,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f42,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',ci3) ).
fof(f72,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
inference(unit_resulting_resolution,[],[f42,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',ci4) ).
fof(f69,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f41,f51]) ).
fof(f41,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f256,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f44,f43,f119,f70,f72,f78,f59]) ).
fof(f119,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f46,f113,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',apart4) ).
fof(f113,plain,
( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f71,f67,f57]) ).
fof(f67,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f71,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f41,f52]) ).
fof(f46,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376',apart1) ).
fof(f68,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f45,f65,f61]) ).
fof(f45,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO196+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 19:23:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.22/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.k1l4YTVWcX/Vampire---4.8_376
% 0.22/0.37 % (488)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (502)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)
% 0.22/0.43 % (503)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)
% 0.22/0.43 % (506)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)
% 0.22/0.43 % (495)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)
% 0.22/0.43 % (505)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)
% 0.22/0.43 % (504)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)
% 0.22/0.43 % (507)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)
% 0.22/0.44 % (506)First to succeed.
% 0.22/0.44 % (506)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (506)------------------------------
% 0.22/0.44 % (506)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (506)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (506)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (506)Memory used [KB]: 5500
% 0.22/0.44 % (506)Time elapsed: 0.010 s
% 0.22/0.44 % (506)------------------------------
% 0.22/0.44 % (506)------------------------------
% 0.22/0.44 % (488)Success in time 0.068 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------