TSTP Solution File: GEO184+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue Apr 30 11:14:31 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 10 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 151 ( 53 ~; 51 |; 31 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[f279,f294,f306,f311,f316]) ).
fof(f316,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f314,f100]) ).
fof(f100,plain,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f55,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f314,plain,
( ~ incident_point_and_line(sK0,sK2)
| ~ spl4_9 ),
inference(resolution,[],[f278,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,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/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f278,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl4_9
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f311,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f309,f101]) ).
fof(f101,plain,
incident_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f309,plain,
( ~ incident_point_and_line(sK1,sK2)
| ~ spl4_8 ),
inference(resolution,[],[f274,f121]) ).
fof(f274,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl4_8
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f306,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f301,f98]) ).
fof(f98,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f97]) ).
fof(f301,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f266,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f266,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl4_6
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f294,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f289,f98]) ).
fof(f289,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_5 ),
inference(resolution,[],[f262,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f262,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl4_5
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f279,plain,
( spl4_5
| spl4_8
| spl4_9
| spl4_6 ),
inference(avatar_split_clause,[],[f255,f264,f276,f272,f260]) ).
fof(f255,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f251,f142]) ).
fof(f142,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f120,f102]) ).
fof(f102,plain,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f97]) ).
fof(f120,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f251,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(resolution,[],[f140,f98]) ).
fof(f140,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,[],[f95]) ).
fof(f95,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,[],[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(ennf_transformation,[],[f51]) ).
fof(f51,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/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n002.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 : Tue Apr 30 06:08:55 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (4904)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (4908)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (4907)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)
% 0.22/0.38 % (4906)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (4909)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (4910)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (4911)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)
% 0.22/0.38 % (4905)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [1,1]
% 0.22/0.39 TRYING [1,1]
% 0.22/0.39 TRYING [2,2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2,2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3,2]
% 0.22/0.39 TRYING [3,2]
% 0.22/0.39 TRYING [4,2]
% 0.22/0.39 TRYING [4,2]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 % (4910)First to succeed.
% 0.22/0.39 TRYING [5,2]
% 0.22/0.39 TRYING [5,2]
% 0.22/0.39 % (4910)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (4910)------------------------------
% 0.22/0.39 % (4910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (4910)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (4910)Memory used [KB]: 1010
% 0.22/0.39 % (4910)Time elapsed: 0.010 s
% 0.22/0.39 % (4910)Instructions burned: 12 (million)
% 0.22/0.39 % (4910)------------------------------
% 0.22/0.39 % (4910)------------------------------
% 0.22/0.39 % (4904)Success in time 0.027 s
%------------------------------------------------------------------------------