TSTP Solution File: SWV077+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV077+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 : Sun May 5 10:27:56 EDT 2024
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 236 ( 11 equ)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 97 ( 39 ~; 29 |; 18 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 154 ( 154 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 3 !; 0 ?; 4 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f216,plain,
$false,
inference(avatar_sat_refutation,[],[f211,f212,f213,f214,f215]) ).
tff(f215,plain,
spl1_3,
inference(avatar_split_clause,[],[f140,f203]) ).
tff(f203,plain,
( spl1_3
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f140,plain,
true,
inference(cnf_transformation,[],[f51]) ).
tff(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.3B95JZg7Rv/Vampire---4.8_29322',ttrue) ).
tff(f214,plain,
spl1_1,
inference(avatar_split_clause,[],[f111,f195]) ).
tff(f195,plain,
( spl1_1
<=> leq(n0,pv31) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f111,plain,
leq(n0,pv31),
inference(cnf_transformation,[],[f88]) ).
tff(f88,plain,
( ( ( ~ true
& ( n0 = pv40 ) )
| ( ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& ( n0 != pv40 ) )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ),
inference(flattening,[],[f87]) ).
tff(f87,plain,
( ( ( ~ true
& ( n0 = pv40 ) )
| ( ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& ( n0 != pv40 ) )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ),
inference(ennf_transformation,[],[f54]) ).
tff(f54,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( ( n0 = pv40 )
=> true )
& ( ( n0 != pv40 )
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(negated_conjecture,[],[f53]) ).
tff(f53,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( ( n0 = pv40 )
=> true )
& ( ( n0 != pv40 )
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3B95JZg7Rv/Vampire---4.8_29322',cl5_nebula_array_0018) ).
tff(f213,plain,
spl1_2,
inference(avatar_split_clause,[],[f112,f199]) ).
tff(f199,plain,
( spl1_2
<=> leq(pv31,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f112,plain,
leq(pv31,minus(n5,n1)),
inference(cnf_transformation,[],[f88]) ).
tff(f212,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f192,f208,f199,f195]) ).
tff(f208,plain,
( spl1_4
<=> sQ0_eqProxy($i,n0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f192,plain,
( sQ0_eqProxy($i,n0,pv40)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(duplicate_literal_removal,[],[f173]) ).
tff(f173,plain,
( sQ0_eqProxy($i,n0,pv40)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(equality_proxy_replacement,[],[f114,f171]) ).
tff(f171,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f114,plain,
( ( n0 = pv40 )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(cnf_transformation,[],[f88]) ).
tff(f211,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f172,f203,f208,f199,f195]) ).
tff(f172,plain,
( ~ true
| ~ sQ0_eqProxy($i,n0,pv40)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(equality_proxy_replacement,[],[f115,f171]) ).
tff(f115,plain,
( ~ true
| ( n0 != pv40 )
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31) ),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWV077+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 21:10:38 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.3B95JZg7Rv/Vampire---4.8_29322
% 0.48/0.72 % (29430)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.72 % (29432)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.72 % (29431)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.72 % (29433)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.72 % (29434)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.72 % (29435)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.72 % (29436)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.72 % (29437)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.73 % (29430)First to succeed.
% 0.55/0.73 % (29430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29429"
% 0.55/0.73 % (29433)Also succeeded, but the first one will report.
% 0.55/0.73 % (29435)Also succeeded, but the first one will report.
% 0.55/0.73 % (29432)Also succeeded, but the first one will report.
% 0.55/0.73 % (29430)Refutation found. Thanks to Tanya!
% 0.55/0.73 % SZS status Theorem for Vampire---4
% 0.55/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73 % (29430)------------------------------
% 0.55/0.73 % (29430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (29430)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (29430)Memory used [KB]: 1080
% 0.55/0.73 % (29430)Time elapsed: 0.003 s
% 0.55/0.73 % (29430)Instructions burned: 5 (million)
% 0.55/0.73 % (29429)Success in time 0.371 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------