TSTP Solution File: SWV062+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n017.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 18:44:02 EDT 2022
% Result : Theorem 0.16s 0.49s
% Output : Refutation 0.16s
% 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 : 13 ( 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(f238,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f232,f233,f234,f235,f236,f237]) ).
fof(f237,plain,
spl0_4,
inference(avatar_split_clause,[],[f161,f220]) ).
fof(f220,plain,
( spl0_4
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f161,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( leq(n0,pv41)
& leq(n0,pv43)
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(pv41,minus(n5,n1))
& ( ~ leq(n0,pv10)
| ~ leq(n0,pv43)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(n0,pv41)
| ~ leq(pv10,minus(n135300,n1)) )
& leq(pv10,minus(n135300,n1)) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv43)
| ~ leq(pv43,minus(n5,n1))
| ~ leq(pv41,minus(n5,n1))
| ~ leq(n0,pv41)
| ~ leq(pv10,minus(n135300,n1)) )
& leq(pv41,minus(n5,n1))
& leq(n0,pv41)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv43)
& leq(pv43,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv41,minus(n5,n1))
& leq(n0,pv41)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv43)
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv43)
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv41,minus(n5,n1))
& leq(n0,pv41)
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,pv43)
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv43)
& leq(pv41,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0003) ).
fof(f236,plain,
spl0_2,
inference(avatar_split_clause,[],[f164,f212]) ).
fof(f212,plain,
( spl0_2
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f164,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f116]) ).
fof(f235,plain,
spl0_3,
inference(avatar_split_clause,[],[f167,f216]) ).
fof(f216,plain,
( spl0_3
<=> leq(n0,pv41) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f167,plain,
leq(n0,pv41),
inference(cnf_transformation,[],[f116]) ).
fof(f234,plain,
spl0_1,
inference(avatar_split_clause,[],[f163,f208]) ).
fof(f208,plain,
( spl0_1
<=> leq(pv41,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f163,plain,
leq(pv41,minus(n5,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f233,plain,
spl0_5,
inference(avatar_split_clause,[],[f166,f224]) ).
fof(f224,plain,
( spl0_5
<=> leq(n0,pv43) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f166,plain,
leq(n0,pv43),
inference(cnf_transformation,[],[f116]) ).
fof(f232,plain,
spl0_6,
inference(avatar_split_clause,[],[f165,f228]) ).
fof(f228,plain,
( spl0_6
<=> leq(pv43,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f165,plain,
leq(pv43,minus(n5,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f231,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f162,f228,f224,f220,f216,f212,f208]) ).
fof(f162,plain,
( ~ leq(pv43,minus(n5,n1))
| ~ leq(n0,pv43)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv41)
| ~ leq(n0,pv10)
| ~ leq(pv41,minus(n5,n1)) ),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n017.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 : Tue Aug 30 18:26:20 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.47 % (12385)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (12384)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (12393)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (12384)First to succeed.
% 0.16/0.49 % (12393)Instruction limit reached!
% 0.16/0.49 % (12393)------------------------------
% 0.16/0.49 % (12393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (12384)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (12384)------------------------------
% 0.16/0.49 % (12384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (12384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (12384)Termination reason: Refutation
% 0.16/0.49
% 0.16/0.49 % (12384)Memory used [KB]: 6012
% 0.16/0.49 % (12384)Time elapsed: 0.107 s
% 0.16/0.49 % (12384)Instructions burned: 4 (million)
% 0.16/0.49 % (12384)------------------------------
% 0.16/0.49 % (12384)------------------------------
% 0.16/0.49 % (12377)Success in time 0.17 s
%------------------------------------------------------------------------------