TSTP Solution File: SWV065+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV065+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 : n018.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 69 ( 22 ~; 18 |; 22 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f223,f224,f225,f226,f228]) ).
fof(f228,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f136,f209]) ).
fof(f209,plain,
( ~ leq(n0,n0)
| spl0_2 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl0_2
<=> leq(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f136,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f226,plain,
spl0_5,
inference(avatar_split_clause,[],[f152,f219]) ).
fof(f219,plain,
( spl0_5
<=> leq(pv53,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f152,plain,
leq(pv53,minus(n5,n1)),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( leq(n0,pv53)
& leq(pv53,minus(n5,n1))
& leq(pv10,minus(n135300,n1))
& ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,n0)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10) )
& leq(n0,pv10) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,n0)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10) )
& leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,n0)
& leq(n0,pv53)
& leq(pv53,minus(n5,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv53,minus(n5,n1))
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10)
& leq(n0,n0)
& leq(n0,pv53)
& leq(pv53,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0006) ).
fof(f225,plain,
spl0_3,
inference(avatar_split_clause,[],[f151,f211]) ).
fof(f211,plain,
( spl0_3
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f151,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f106]) ).
fof(f224,plain,
spl0_1,
inference(avatar_split_clause,[],[f153,f203]) ).
fof(f203,plain,
( spl0_1
<=> leq(n0,pv53) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f153,plain,
leq(n0,pv53),
inference(cnf_transformation,[],[f106]) ).
fof(f223,plain,
spl0_4,
inference(avatar_split_clause,[],[f149,f215]) ).
fof(f215,plain,
( spl0_4
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f149,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f106]) ).
fof(f222,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f150,f219,f215,f211,f207,f203]) ).
fof(f150,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,n0)
| ~ leq(n0,pv53) ),
inference(cnf_transformation,[],[f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:01:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (25430)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (25440)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53 % (25446)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53 % (25419)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (25432)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (25432)Instruction limit reached!
% 0.21/0.53 % (25432)------------------------------
% 0.21/0.53 % (25432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (25432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (25432)Termination reason: Unknown
% 0.21/0.53 % (25432)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (25432)Memory used [KB]: 1535
% 0.21/0.53 % (25432)Time elapsed: 0.006 s
% 0.21/0.53 % (25432)Instructions burned: 3 (million)
% 0.21/0.53 % (25432)------------------------------
% 0.21/0.53 % (25432)------------------------------
% 0.21/0.53 % (25424)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)
% 0.21/0.53 % (25439)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (25424)First to succeed.
% 0.21/0.54 % (25438)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (25424)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (25424)------------------------------
% 0.21/0.54 % (25424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25424)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (25424)Memory used [KB]: 6012
% 0.21/0.54 % (25424)Time elapsed: 0.070 s
% 0.21/0.54 % (25424)Instructions burned: 4 (million)
% 0.21/0.54 % (25424)------------------------------
% 0.21/0.54 % (25424)------------------------------
% 0.21/0.54 % (25417)Success in time 0.169 s
%------------------------------------------------------------------------------