TSTP Solution File: GEO178+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO178+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 : n028.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 05:15:52 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 32 ~; 24 |; 14 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f157,f160]) ).
fof(f160,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f158,f93]) ).
fof(f93,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f91]) ).
fof(f91,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f158,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(subsumption_resolution,[],[f151,f135]) ).
fof(f135,plain,
( ~ distinct_points(sK2,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl3_1
<=> distinct_points(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f151,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f149,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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(f149,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(sK2,X0) ),
inference(resolution,[],[f118,f94]) ).
fof(f94,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f92]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f157,plain,
spl3_2,
inference(avatar_split_clause,[],[f156,f137]) ).
fof(f137,plain,
( spl3_2
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f156,plain,
distinct_points(sK2,sK1),
inference(subsumption_resolution,[],[f150,f93]) ).
fof(f150,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f149,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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(f140,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f95,f137,f133]) ).
fof(f95,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO178+3 : TPTP v8.1.2. 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 : n028.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 : Fri May 3 21:53:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27899)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27905)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (27901)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (27904)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (27900)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (27902)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 % (27906)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 % (27903)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (27905)First to succeed.
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 % (27902)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (27905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27899"
% 0.13/0.37 TRYING [3,2]
% 0.13/0.38 TRYING [3,2]
% 0.13/0.38 % (27905)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (27905)------------------------------
% 0.13/0.38 % (27905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (27905)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (27905)Memory used [KB]: 947
% 0.13/0.38 % (27905)Time elapsed: 0.006 s
% 0.13/0.38 % (27905)Instructions burned: 4 (million)
% 0.13/0.38 % (27899)Success in time 0.022 s
%------------------------------------------------------------------------------