TSTP Solution File: GEO192+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO192+2 : 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 : Fri Sep 1 14:43:22 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 8 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 146 ( 60 ~; 58 |; 14 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 70 (; 61 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f167,f177,f179,f190,f202]) ).
fof(f202,plain,
( spl3_2
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl3_2
| ~ spl3_5 ),
inference(resolution,[],[f189,f182]) ).
fof(f182,plain,
( ~ distinct_lines(sK2,sK1)
| spl3_2 ),
inference(resolution,[],[f181,f41]) ).
fof(f41,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',apart2) ).
fof(f181,plain,
( ! [X1] :
( distinct_lines(X1,sK2)
| ~ distinct_lines(X1,sK1) )
| spl3_2 ),
inference(resolution,[],[f61,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,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/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',apart5) ).
fof(f61,plain,
( ~ distinct_lines(sK1,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl3_2
<=> distinct_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f189,plain,
( distinct_lines(sK2,sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl3_5
<=> distinct_lines(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f190,plain,
( ~ spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f168,f187,f160]) ).
fof(f160,plain,
( spl3_3
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f168,plain,
( distinct_lines(sK2,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f86,f38]) ).
fof(f38,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) )
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(X1,X2)
| ~ distinct_lines(X0,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) )
=> ( ( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) )
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X1,X2)
| ~ distinct_lines(X0,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X1,X2)
| ~ distinct_lines(X0,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',con) ).
fof(f86,plain,
! [X3,X4,X5] :
( ~ apart_point_and_line(intersection_point(X3,X4),X5)
| distinct_lines(X5,X4)
| ~ convergent_lines(X3,X4) ),
inference(resolution,[],[f80,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',ceq2) ).
fof(f80,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f46,f42]) ).
fof(f42,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',apart1) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.FDYko6Jg4b/Vampire---4.8_4723',con2) ).
fof(f179,plain,
( spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| spl3_1
| ~ spl3_4 ),
inference(resolution,[],[f166,f69]) ).
fof(f69,plain,
( ~ distinct_lines(sK2,sK0)
| spl3_1 ),
inference(resolution,[],[f67,f41]) ).
fof(f67,plain,
( ! [X2] :
( distinct_lines(X2,sK2)
| ~ distinct_lines(X2,sK0) )
| spl3_1 ),
inference(resolution,[],[f47,f57]) ).
fof(f57,plain,
( ~ distinct_lines(sK0,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_1
<=> distinct_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f166,plain,
( distinct_lines(sK2,sK0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl3_4
<=> distinct_lines(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f177,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| spl3_3 ),
inference(resolution,[],[f162,f37]) ).
fof(f37,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f162,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f167,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f153,f164,f160]) ).
fof(f153,plain,
( distinct_lines(sK2,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f82,f38]) ).
fof(f82,plain,
! [X3,X4,X5] :
( ~ apart_point_and_line(intersection_point(X3,X4),X5)
| distinct_lines(X5,X3)
| ~ convergent_lines(X3,X4) ),
inference(resolution,[],[f76,f51]) ).
fof(f76,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f45,f42]) ).
fof(f45,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f62,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f39,f59,f55]) ).
fof(f39,plain,
( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO192+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15 % 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 : Wed Aug 30 18:05:37 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.43 % (5020)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (5052)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43 % (5055)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (5053)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (5056)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43 % (5060)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43 % (5054)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [1,1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2,2]
% 0.22/0.43 TRYING [2,2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [2,3]
% 0.22/0.43 TRYING [2,3]
% 0.22/0.43 TRYING [3,3]
% 0.22/0.43 TRYING [3,3]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [2,4]
% 0.22/0.44 TRYING [2,4]
% 0.22/0.44 % (5054)First to succeed.
% 0.22/0.44 TRYING [3,4]
% 0.22/0.44 TRYING [5]
% 0.22/0.44 TRYING [3,4]
% 0.22/0.44 % (5060)Also succeeded, but the first one will report.
% 0.22/0.44 % (5054)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 % (5054)------------------------------
% 0.22/0.44 % (5054)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (5054)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (5054)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (5054)Memory used [KB]: 5373
% 0.22/0.44 % (5054)Time elapsed: 0.008 s
% 0.22/0.44 % (5054)------------------------------
% 0.22/0.44 % (5054)------------------------------
% 0.22/0.44 % (5020)Success in time 0.067 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------