TSTP Solution File: GEO224+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO224+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 : n020.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 : Sun May 5 05:16:15 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 80 ( 30 ~; 28 |; 14 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 66 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316,plain,
$false,
inference(resolution,[],[f308,f107]) ).
fof(f107,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(f308,plain,
! [X0] : distinct_lines(sK3,X0),
inference(resolution,[],[f304,f112]) ).
fof(f112,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/benchmark/theBenchmark.p',cp1) ).
fof(f304,plain,
! [X0,X1] :
( convergent_lines(parallel_through_point(X1,sK2),X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f277,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_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/benchmark/theBenchmark.p',p1) ).
fof(f277,plain,
! [X0,X1] :
( distinct_lines(parallel_through_point(X1,sK2),X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f275,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f71,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(f275,plain,
! [X0] : distinct_lines(sK3,parallel_through_point(X0,sK2)),
inference(resolution,[],[f267,f110]) ).
fof(f110,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/benchmark/theBenchmark.p',cp2) ).
fof(f267,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f129,f145]) ).
fof(f145,plain,
apart_point_and_line(sK2,sK3),
inference(resolution,[],[f144,f103]) ).
fof(f103,plain,
point(sK2),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ! [X2] :
( ~ incident_point_and_line(X2,sK3)
| ~ point(X2) )
& line(sK3)
& point(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f53,f97]) ).
fof(f97,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) )
=> ( ! [X2] :
( ~ incident_point_and_line(X2,sK3)
| ~ point(X2) )
& line(sK3)
& point(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( incident_point_and_line(X2,X1)
& point(X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( incident_point_and_line(X2,X1)
& point(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f144,plain,
! [X0] :
( ~ point(X0)
| apart_point_and_line(X0,sK3) ),
inference(resolution,[],[f123,f105]) ).
fof(f105,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK3)
| ~ point(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f123,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_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(f129,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,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/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n020.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 : Fri May 3 21:52:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (28259)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (28263)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 % (28260)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (28266)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 % (28264)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (28261)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (28262)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 TRYING [3]
% 0.22/0.38 TRYING [3,1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (28265)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [4,1]
% 0.22/0.38 TRYING [3,1]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 % (28264)First to succeed.
% 0.22/0.39 % (28262)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [4]
% 0.22/0.39 % (28264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28259"
% 0.22/0.39 TRYING [4,1]
% 0.22/0.39 % (28264)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 % (28264)------------------------------
% 0.22/0.39 % (28264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (28264)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (28264)Memory used [KB]: 975
% 0.22/0.39 % (28264)Time elapsed: 0.007 s
% 0.22/0.39 % (28264)Instructions burned: 10 (million)
% 0.22/0.39 % (28259)Success in time 0.025 s
%------------------------------------------------------------------------------