TSTP Solution File: GEO258+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO258+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 : n015.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 05:16:26 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% 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(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f223,f234,f253,f259,f262,f267]) ).
fof(f267,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f228,f220,f250]) ).
fof(f250,plain,
( spl4_4
<=> before_on_line(sK0,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f220,plain,
( spl4_2
<=> before_on_line(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f228,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f163,f116]) ).
fof(f116,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f110]) ).
fof(f110,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])],[f73,f109]) ).
fof(f109,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(f73,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5,X6] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5,X6] :
( between_on_line(X3,X2,X5,X6)
=> between_on_line(X3,X6,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f163,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,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,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,[],[f70]) ).
fof(f70,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,[],[f10]) ).
fof(f10,axiom,
! [X3,X2,X5,X6] :
( between_on_line(X3,X2,X5,X6)
<=> ( ( before_on_line(X3,X5,X2)
& before_on_line(X3,X6,X5) )
| ( before_on_line(X3,X5,X6)
& before_on_line(X3,X2,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_defns) ).
fof(f262,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f243,f231,f220]) ).
fof(f231,plain,
( spl4_3
<=> before_on_line(sK0,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f243,plain,
( ~ before_on_line(sK0,sK2,sK3)
| ~ before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f166,f117]) ).
fof(f117,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f166,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,[],[f115]) ).
fof(f259,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f235,f250,f216]) ).
fof(f216,plain,
( spl4_1
<=> before_on_line(sK0,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f235,plain,
( ~ before_on_line(sK0,sK2,sK1)
| ~ before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f165,f117]) ).
fof(f165,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,[],[f115]) ).
fof(f253,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f229,f231,f250]) ).
fof(f229,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f164,f116]) ).
fof(f164,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,[],[f115]) ).
fof(f234,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f224,f231,f216]) ).
fof(f224,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f162,f116]) ).
fof(f162,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,[],[f115]) ).
fof(f223,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f214,f220,f216]) ).
fof(f214,plain,
( before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK3,sK2) ),
inference(resolution,[],[f161,f116]) ).
fof(f161,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,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 22:04:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (30104)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (30105)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (30107)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)
% 0.15/0.33 % (30109)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (30110)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (30111)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)
% 0.15/0.33 % (30108)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (30106)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1,1]
% 0.15/0.33 TRYING [1,1]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [2,2]
% 0.15/0.33 % (30107)First to succeed.
% 0.15/0.33 TRYING [2,2]
% 0.15/0.33 % (30107)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30104"
% 0.15/0.33 TRYING [3,3]
% 0.15/0.33 % (30107)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (30107)------------------------------
% 0.15/0.33 % (30107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (30107)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (30107)Memory used [KB]: 905
% 0.15/0.33 % (30107)Time elapsed: 0.006 s
% 0.15/0.33 % (30107)Instructions burned: 9 (million)
% 0.15/0.33 % (30104)Success in time 0.021 s
%------------------------------------------------------------------------------