TSTP Solution File: GEO172+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO172+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 20:14:55 EDT 2024
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 16 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 167 ( 62 ~; 67 |; 21 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 86 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f643,plain,
$false,
inference(avatar_sat_refutation,[],[f608,f626,f631,f637,f642]) ).
fof(f642,plain,
~ spl3_10,
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f640,f99]) ).
fof(f99,plain,
incident_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ equal_points(sK2,intersection_point(sK0,sK1))
& incident_point_and_line(sK2,sK1)
& incident_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f95]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( ~ equal_points(X2,intersection_point(X0,X1))
& incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> ( ~ equal_points(sK2,intersection_point(sK0,sK1))
& incident_point_and_line(sK2,sK1)
& incident_point_and_line(sK2,sK0)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ equal_points(X2,intersection_point(X0,X1))
& incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ equal_points(X2,intersection_point(X0,X1))
& incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& convergent_lines(X0,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f640,plain,
( ~ incident_point_and_line(sK2,sK1)
| ~ spl3_10 ),
inference(resolution,[],[f582,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f582,plain,
( apart_point_and_line(sK2,sK1)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f580,plain,
( spl3_10
<=> apart_point_and_line(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f637,plain,
~ spl3_9,
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f636,plain,
( $false
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f632,f97]) ).
fof(f97,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f632,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_9 ),
inference(resolution,[],[f578,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,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/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f578,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl3_9
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f631,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f629,f98]) ).
fof(f98,plain,
incident_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f629,plain,
( ~ incident_point_and_line(sK2,sK0)
| ~ spl3_11 ),
inference(resolution,[],[f586,f119]) ).
fof(f586,plain,
( apart_point_and_line(sK2,sK0)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl3_11
<=> apart_point_and_line(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f626,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f621,f97]) ).
fof(f621,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_8 ),
inference(resolution,[],[f574,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f574,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl3_8
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f608,plain,
( spl3_9
| spl3_8
| spl3_11
| spl3_10 ),
inference(avatar_split_clause,[],[f566,f580,f584,f572,f576]) ).
fof(f566,plain,
( apart_point_and_line(sK2,sK1)
| apart_point_and_line(sK2,sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(resolution,[],[f222,f164]) ).
fof(f164,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f154,f102]) ).
fof(f102,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f154,plain,
! [X0] :
( distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f148,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,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/benchmark/theBenchmark.p',apart5) ).
fof(f148,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f144,f103]) ).
fof(f103,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f144,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f126,f97]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,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/benchmark/theBenchmark.p',ceq3) ).
fof(f222,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X1) ),
inference(resolution,[],[f138,f140]) ).
fof(f140,plain,
distinct_points(sK2,intersection_point(sK0,sK1)),
inference(resolution,[],[f118,f100]) ).
fof(f100,plain,
~ equal_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f96]) ).
fof(f118,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f50]) ).
fof(f50,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/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO172+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 14:07:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (11064)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (11065)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (11068)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (11067)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 theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (11066)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (11069)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (11070)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (11071)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 TRYING [2,3]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [2,4]
% 0.19/0.37 TRYING [2,4]
% 0.19/0.38 TRYING [4]
% 0.19/0.38 TRYING [2,5]
% 0.19/0.38 TRYING [2,5]
% 0.19/0.38 TRYING [2,6]
% 0.19/0.38 TRYING [2,6]
% 0.19/0.38 TRYING [5]
% 0.19/0.38 TRYING [2,7]
% 0.19/0.38 TRYING [2,7]
% 0.19/0.38 TRYING [5]
% 0.19/0.38 % (11070)First to succeed.
% 0.19/0.38 % (11067)Also succeeded, but the first one will report.
% 0.19/0.38 % (11070)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11064"
% 0.19/0.38 TRYING [2,8]
% 0.19/0.39 TRYING [2,8]
% 0.19/0.39 % (11070)Refutation found. Thanks to Tanya!
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39 % (11070)------------------------------
% 0.19/0.39 % (11070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.39 % (11070)Termination reason: Refutation
% 0.19/0.39
% 0.19/0.39 % (11070)Memory used [KB]: 1116
% 0.19/0.39 % (11070)Time elapsed: 0.018 s
% 0.19/0.39 % (11070)Instructions burned: 30 (million)
% 0.19/0.39 % (11064)Success in time 0.022 s
%------------------------------------------------------------------------------