TSTP Solution File: GEO258+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 11:15:03 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 3 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 95 ( 33 ~; 36 |; 16 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 60 ( 52 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f239,f251,f259,f260,f264]) ).
fof(f264,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f234,f228,f248]) ).
fof(f248,plain,
( spl4_4
<=> before_on_line(sK0,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f228,plain,
( spl4_2
<=> before_on_line(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f234,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f151,f105]) ).
fof(f105,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ~ between_on_line(sK0,sK3,sK2,sK1)
& between_on_line(sK0,sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f61,f99]) ).
fof(f99,plain,
( ? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) )
=> ( ~ between_on_line(sK0,sK3,sK2,sK1)
& between_on_line(sK0,sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X3,X4] :
( between_on_line(X1,X0,X3,X4)
=> between_on_line(X1,X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X1,X2)
| before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) )
& ( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ) ) )
& ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) )
& ( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ) ) )
& ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
<=> ( ( before_on_line(X0,X2,X1)
& before_on_line(X0,X3,X2) )
| ( before_on_line(X0,X2,X3)
& before_on_line(X0,X1,X2) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X3,X4] :
( between_on_line(X1,X0,X3,X4)
<=> ( ( before_on_line(X1,X3,X0)
& before_on_line(X1,X4,X3) )
| ( before_on_line(X1,X3,X4)
& before_on_line(X1,X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bet_def) ).
fof(f260,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f253,f236,f228]) ).
fof(f236,plain,
( spl4_3
<=> before_on_line(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f253,plain,
( ~ before_on_line(sK0,sK2,sK3)
| ~ before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f154,f106]) ).
fof(f106,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f259,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f242,f248,f224]) ).
fof(f224,plain,
( spl4_1
<=> before_on_line(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f242,plain,
( ~ before_on_line(sK0,sK2,sK1)
| ~ before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f153,f106]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f251,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f241,f236,f248]) ).
fof(f241,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f152,f105]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X3)
| before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f239,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f233,f236,f224]) ).
fof(f233,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f150,f105]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X3)
| before_on_line(X0,X3,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f231,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f222,f228,f224]) ).
fof(f222,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f149,f105]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X1,X2)
| before_on_line(X0,X3,X2) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:38:11 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (31591)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (31595)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.18/0.36 % (31594)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)
% 0.18/0.36 % (31598)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)
% 0.18/0.36 % (31597)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.36 % (31593)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.36 % (31596)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.18/0.36 % (31592)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [1,1]
% 0.18/0.36 TRYING [1,1]
% 0.18/0.36 % (31594)First to succeed.
% 0.18/0.36 TRYING [2,2]
% 0.18/0.36 TRYING [2,2]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 % (31594)Refutation found. Thanks to Tanya!
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.36 % (31594)------------------------------
% 0.18/0.36 % (31594)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.36 % (31594)Termination reason: Refutation
% 0.18/0.36
% 0.18/0.36 % (31594)Memory used [KB]: 902
% 0.18/0.36 % (31594)Time elapsed: 0.006 s
% 0.18/0.36 % (31594)Instructions burned: 9 (million)
% 0.18/0.36 % (31594)------------------------------
% 0.18/0.36 % (31594)------------------------------
% 0.18/0.36 % (31591)Success in time 0.023 s
%------------------------------------------------------------------------------