TSTP Solution File: GEO213+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 11:14:47 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 48 ~; 47 |; 20 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 77 ( 68 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f179,f185]) ).
fof(f185,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f160,f89]) ).
fof(f89,plain,
~ convergent_lines(sK0,sK2),
inference(resolution,[],[f68,f58]) ).
fof(f58,plain,
~ distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f68,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f160,plain,
( convergent_lines(sK0,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl4_2
<=> convergent_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f179,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f174,f87]) ).
fof(f87,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f67,f59]) ).
fof(f59,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f67,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f174,plain,
( ~ convergent_lines(sK1,sK2)
| spl4_1 ),
inference(resolution,[],[f168,f101]) ).
fof(f101,plain,
! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK2) ),
inference(resolution,[],[f97,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f97,plain,
~ convergent_lines(sK2,sK0),
inference(resolution,[],[f94,f68]) ).
fof(f94,plain,
~ distinct_lines(sK2,sK0),
inference(resolution,[],[f91,f60]) ).
fof(f60,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f91,plain,
! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,sK0) ),
inference(resolution,[],[f69,f58]) ).
fof(f69,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f168,plain,
( ~ convergent_lines(sK1,sK0)
| spl4_1 ),
inference(resolution,[],[f162,f62]) ).
fof(f62,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f162,plain,
( ! [X0] :
( convergent_lines(X0,sK1)
| ~ convergent_lines(X0,sK0) )
| spl4_1 ),
inference(resolution,[],[f156,f74]) ).
fof(f156,plain,
( ~ convergent_lines(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl4_1
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f161,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f145,f158,f154]) ).
fof(f145,plain,
( convergent_lines(sK0,sK2)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f142,f57]) ).
fof(f57,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f142,plain,
! [X0] :
( ~ unorthogonal_lines(X0,sK1)
| convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK1) ),
inference(resolution,[],[f81,f59]) ).
fof(f81,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 05:55:18 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (15046)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (15049)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)
% 0.10/0.34 % (15048)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (15050)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 % (15047)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.34 % (15053)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)
% 0.10/0.34 % (15052)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.34 % (15051)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [1,1]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [1,1]
% 0.10/0.34 TRYING [2,1]
% 0.10/0.34 TRYING [2,1]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3,1]
% 0.10/0.34 TRYING [3,1]
% 0.10/0.34 % (15049)First to succeed.
% 0.10/0.34 Cannot enumerate next child to try in an incomplete setup
% 0.10/0.34 Cannot enumerate next child to try in an incomplete setup
% 0.10/0.34 % (15050)Refutation not found, incomplete strategy% (15050)------------------------------
% 0.10/0.34 % (15050)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (15048)Refutation not found, incomplete strategy% (15048)------------------------------
% 0.10/0.34 % (15048)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (15048)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.34
% 0.10/0.34 % (15048)Memory used [KB]: 854
% 0.10/0.34 % (15048)Time elapsed: 0.005 s
% 0.10/0.34 % (15048)Instructions burned: 8 (million)
% 0.10/0.34 % (15048)------------------------------
% 0.10/0.34 % (15048)------------------------------
% 0.10/0.34 % (15050)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.34
% 0.10/0.34 % (15050)Memory used [KB]: 855
% 0.10/0.34 % (15050)Time elapsed: 0.005 s
% 0.10/0.34 % (15050)Instructions burned: 8 (million)
% 0.10/0.34 % (15050)------------------------------
% 0.10/0.34 % (15050)------------------------------
% 0.10/0.34 TRYING [4]
% 0.10/0.34 % (15053)Also succeeded, but the first one will report.
% 0.10/0.34 % (15049)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Theorem for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (15049)------------------------------
% 0.10/0.34 % (15049)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (15049)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (15049)Memory used [KB]: 904
% 0.10/0.34 % (15049)Time elapsed: 0.006 s
% 0.10/0.34 % (15049)Instructions burned: 8 (million)
% 0.10/0.34 % (15049)------------------------------
% 0.10/0.34 % (15049)------------------------------
% 0.10/0.34 % (15046)Success in time 0.017 s
%------------------------------------------------------------------------------