TSTP Solution File: GEO176+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO176+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 : n004.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 14:43:15 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 95 ( 33 ~; 32 |; 21 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 77 (; 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[f159,f210,f212]) ).
fof(f212,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f154,f204]) ).
fof(f204,plain,
! [X3,X4] : ~ apart_point_and_line(X3,X4),
inference(resolution,[],[f173,f199]) ).
fof(f199,plain,
! [X6,X7] : ~ distinct_lines(X6,parallel_through_point(X6,X7)),
inference(resolution,[],[f193,f111]) ).
fof(f111,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',p1) ).
fof(f193,plain,
! [X2,X1] : ~ convergent_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f190,f162]) ).
fof(f162,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f111,f109]) ).
fof(f109,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/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',cp1) ).
fof(f190,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f136,f105]) ).
fof(f105,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',apart3) ).
fof(f136,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
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/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',ceq3) ).
fof(f173,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f134,f107]) ).
fof(f107,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/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',cp2) ).
fof(f134,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,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/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',ceq2) ).
fof(f154,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl5_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f210,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f204,f158]) ).
fof(f158,plain,
( apart_point_and_line(sK0,sK3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl5_2
<=> apart_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f159,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f101,f156,f152]) ).
fof(f101,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ distinct_points(sK0,intersection_point(sK2,sK3))
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& 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] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ distinct_points(sK0,intersection_point(sK2,sK3))
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.sTqQtJCpGX/Vampire---4.8_22190',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 18:02:37 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.43 % (22549)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (22570)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.43 % (22572)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.43 % (22573)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)
% 0.23/0.43 % (22574)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (22575)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.43 % (22576)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.43 % (22577)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.43 TRYING [1,1]
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [1,1]
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [1,2]
% 0.23/0.43 TRYING [1,2]
% 0.23/0.43 TRYING [2,2]
% 0.23/0.43 TRYING [1]
% 0.23/0.43 TRYING [2,2]
% 0.23/0.43 TRYING [3]
% 0.23/0.43 % (22573)First to succeed.
% 0.23/0.43 TRYING [2]
% 0.23/0.43 TRYING [2,3]
% 0.23/0.43 TRYING [2,3]
% 0.23/0.43 TRYING [3]
% 0.23/0.44 TRYING [2,4]
% 0.23/0.44 % (22573)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (22573)------------------------------
% 0.23/0.44 % (22573)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (22573)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (22573)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (22573)Memory used [KB]: 5500
% 0.23/0.44 % (22573)Time elapsed: 0.005 s
% 0.23/0.44 % (22573)------------------------------
% 0.23/0.44 % (22573)------------------------------
% 0.23/0.44 % (22549)Success in time 0.066 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------