TSTP Solution File: GEO228+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO228+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 : n009.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 11:14:53 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 1 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 141 ( 61 ~; 54 |; 16 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f188,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f157,f158,f183,f186,f187]) ).
fof(f187,plain,
( spl2_3
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f185,f145,f154]) ).
fof(f154,plain,
( spl2_3
<=> unequally_directed_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f145,plain,
( spl2_1
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f185,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f147,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
fof(f147,plain,
( convergent_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f186,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f184,f145,f149]) ).
fof(f149,plain,
( spl2_2
<=> unequally_directed_lines(sK0,reverse_line(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f184,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_1 ),
inference(resolution,[],[f147,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f183,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f181,f156]) ).
fof(f156,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f181,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f177,f146]) ).
fof(f146,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f177,plain,
( convergent_lines(sK0,sK1)
| ~ unequally_directed_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f125,f151]) ).
fof(f151,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f125,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f103,f149,f154,f145]) ).
fof(f103,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK0,sK1) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f98,f99]) ).
fof(f99,plain,
( ? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ( ( unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK0,sK1) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
? [X0,X1] :
( ~ convergent_lines(X0,X1)
<~> ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f157,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f104,f154,f145]) ).
fof(f104,plain,
( unequally_directed_lines(sK0,sK1)
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f152,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f105,f149,f145]) ).
fof(f105,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:42:26 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8745)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (8746)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (8750)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (8751)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (8748)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)
% 0.21/0.39 % (8749)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 % (8747)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (8752)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)
% 0.21/0.39 TRYING [5]
% 0.21/0.39 % (8751)First to succeed.
% 0.21/0.40 TRYING [1]
% 0.21/0.40 % (8748)Also succeeded, but the first one will report.
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [1,1]
% 0.21/0.40 TRYING [1,1]
% 0.21/0.40 TRYING [2,1]
% 0.21/0.40 TRYING [2,1]
% 0.21/0.40 % (8751)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (8751)------------------------------
% 0.21/0.40 % (8751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (8751)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (8751)Memory used [KB]: 861
% 0.21/0.40 % (8751)Time elapsed: 0.008 s
% 0.21/0.40 % (8751)Instructions burned: 5 (million)
% 0.21/0.40 % (8751)------------------------------
% 0.21/0.40 % (8751)------------------------------
% 0.21/0.40 % (8745)Success in time 0.027 s
%------------------------------------------------------------------------------