TSTP Solution File: SWV062+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n029.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 : Wed Aug 31 18:55:23 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 85 ( 25 ~; 20 |; 32 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[f522,f523,f524,f525,f526,f527,f528]) ).
fof(f528,plain,
spl61_5,
inference(avatar_split_clause,[],[f286,f515]) ).
fof(f515,plain,
( spl61_5
<=> leq(pv41,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_5])]) ).
fof(f286,plain,
leq(pv41,minus(n5,n1)),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( leq(pv41,minus(n5,n1))
& leq(n0,pv43)
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& ( ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(n0,pv10) )
& leq(pv43,minus(n5,n1))
& leq(n0,pv41) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
( ( ~ leq(pv41,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv43)
| ~ leq(n0,pv41)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(n0,pv10) )
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10)
& leq(pv43,minus(n5,n1))
& leq(n0,pv41) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10)
& leq(pv43,minus(n5,n1))
& leq(n0,pv41) )
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv41)
& leq(pv41,minus(n5,n1))
& leq(n0,pv43)
& leq(pv43,minus(n5,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(n0,pv43)
& leq(n0,pv10)
& leq(pv43,minus(n5,n1))
& leq(n0,pv41) )
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv41)
& leq(pv41,minus(n5,n1))
& leq(n0,pv43)
& leq(pv43,minus(n5,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0003) ).
fof(f527,plain,
spl61_6,
inference(avatar_split_clause,[],[f283,f519]) ).
fof(f519,plain,
( spl61_6
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).
fof(f283,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f138]) ).
fof(f526,plain,
spl61_2,
inference(avatar_split_clause,[],[f281,f503]) ).
fof(f503,plain,
( spl61_2
<=> leq(pv43,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).
fof(f281,plain,
leq(pv43,minus(n5,n1)),
inference(cnf_transformation,[],[f138]) ).
fof(f525,plain,
spl61_3,
inference(avatar_split_clause,[],[f285,f507]) ).
fof(f507,plain,
( spl61_3
<=> leq(n0,pv43) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).
fof(f285,plain,
leq(n0,pv43),
inference(cnf_transformation,[],[f138]) ).
fof(f524,plain,
spl61_4,
inference(avatar_split_clause,[],[f280,f511]) ).
fof(f511,plain,
( spl61_4
<=> leq(n0,pv41) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).
fof(f280,plain,
leq(n0,pv41),
inference(cnf_transformation,[],[f138]) ).
fof(f523,plain,
spl61_1,
inference(avatar_split_clause,[],[f284,f499]) ).
fof(f499,plain,
( spl61_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).
fof(f284,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f138]) ).
fof(f522,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(avatar_split_clause,[],[f282,f519,f515,f511,f507,f503,f499]) ).
fof(f282,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(n0,pv41)
| ~ leq(n0,pv43)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(n0,pv10) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:08:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (23476)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (23467)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (23462)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (23479)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (23459)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (23461)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (23484)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 % (23471)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (23462)First to succeed.
% 0.20/0.53 % (23469)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (23463)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23485)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (23464)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (23462)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23462)------------------------------
% 0.20/0.54 % (23462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23462)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23462)Memory used [KB]: 5756
% 0.20/0.54 % (23462)Time elapsed: 0.110 s
% 0.20/0.54 % (23462)Instructions burned: 14 (million)
% 0.20/0.54 % (23462)------------------------------
% 0.20/0.54 % (23462)------------------------------
% 0.20/0.54 % (23456)Success in time 0.179 s
%------------------------------------------------------------------------------