TSTP Solution File: GEO196+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n013.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 14:43:24 EDT 2023
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 118 ( 41 ~; 34 |; 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 : 83 (; 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(avatar_sat_refutation,[],[f170,f222,f226]) ).
fof(f226,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| spl5_2 ),
inference(resolution,[],[f224,f216]) ).
fof(f216,plain,
! [X3,X4] : ~ apart_point_and_line(X3,X4),
inference(resolution,[],[f184,f199]) ).
fof(f199,plain,
! [X3,X4] : ~ distinct_lines(X3,parallel_through_point(X3,X4)),
inference(resolution,[],[f196,f114]) ).
fof(f114,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_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.YVWANI54l6/Vampire---4.8_29925',p1) ).
fof(f196,plain,
! [X2,X1] : ~ convergent_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f193,f154]) ).
fof(f154,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f114,f110]) ).
fof(f110,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.YVWANI54l6/Vampire---4.8_29925',cp1) ).
fof(f193,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f137,f106]) ).
fof(f106,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.YVWANI54l6/Vampire---4.8_29925',apart3) ).
fof(f137,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/sandbox2/tmp/tmp.YVWANI54l6/Vampire---4.8_29925',ceq3) ).
fof(f184,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f136,f108]) ).
fof(f108,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.YVWANI54l6/Vampire---4.8_29925',cp2) ).
fof(f136,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
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.YVWANI54l6/Vampire---4.8_29925',ceq2) ).
fof(f224,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| spl5_2 ),
inference(resolution,[],[f169,f130]) ).
fof(f130,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,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.YVWANI54l6/Vampire---4.8_29925',a4) ).
fof(f169,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl5_2
<=> incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f222,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f216,f171]) ).
fof(f171,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| spl5_1 ),
inference(resolution,[],[f165,f130]) ).
fof(f165,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK0)
| spl5_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl5_1
<=> incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f170,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f103,f167,f163]) ).
fof(f103,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.YVWANI54l6/Vampire---4.8_29925',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 30 18:06:47 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.38 % (30184)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (30205)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.38 % (30204)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.38 % (30211)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.38 TRYING [1,1]
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.38 TRYING [2,2]
% 0.18/0.38 TRYING [1,1]
% 0.18/0.38 TRYING [2,2]
% 0.18/0.38 % (30215)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.38 TRYING [3]
% 0.18/0.38 % (30207)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)
% 0.18/0.38 TRYING [3,3]
% 0.18/0.38 % (30216)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)
% 0.18/0.38 % (30214)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.38 TRYING [3,3]
% 0.18/0.38 TRYING [4]
% 0.18/0.38 TRYING [4,4]
% 0.18/0.38 TRYING [4,4]
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.38 % (30207)First to succeed.
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [5]
% 0.18/0.39 TRYING [5,5]
% 0.18/0.39 % (30207)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Theorem for Vampire---4
% 0.18/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.39 % (30207)------------------------------
% 0.18/0.39 % (30207)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.39 % (30207)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.39 % (30207)Termination reason: Refutation
% 0.18/0.39
% 0.18/0.39 % (30207)Memory used [KB]: 5500
% 0.18/0.39 % (30207)Time elapsed: 0.005 s
% 0.18/0.39 % (30207)------------------------------
% 0.18/0.39 % (30207)------------------------------
% 0.18/0.39 % (30184)Success in time 0.048 s
% 0.18/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------