TSTP Solution File: DAT021_1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n005.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 May 1 02:18:34 EDT 2024
% Result : Theorem 0.61s 0.84s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 122 ( 14 unt; 8 typ; 0 def)
% Number of atoms : 282 ( 58 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 312 ( 144 ~; 123 |; 30 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 308 ( 46 atm; 59 fun; 169 num; 34 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 14 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 12 ( 6 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 35 !; 9 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_10,type,
sK0: collection ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f441,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f96,f105,f140,f148,f182,f245,f253,f294,f344,f357,f360,f363,f367,f440]) ).
tff(f440,plain,
( ~ spl3_5
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f439]) ).
tff(f439,plain,
( $false
| ~ spl3_5
| ~ spl3_10 ),
inference(evaluation,[],[f438]) ).
tff(f438,plain,
( ~ $less($sum(2,3),9)
| ~ spl3_5
| ~ spl3_10 ),
inference(forward_demodulation,[],[f411,f91]) ).
tff(f91,plain,
( ( 3 = sK1 )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f89]) ).
tff(f89,plain,
( spl3_5
<=> ( 3 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f411,plain,
( ~ $less($sum(2,sK1),9)
| ~ spl3_10 ),
inference(evaluation,[],[f410]) ).
tff(f410,plain,
( ~ $less($sum(1,$sum(sK1,1)),9)
| ~ spl3_10 ),
inference(superposition,[],[f177,f395]) ).
tff(f395,plain,
( ( 1 = sK2 )
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f394,f43]) ).
tff(f43,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox2/tmp/tmp.LwSryFRRd1/Vampire---4.8_27578',ax1) ).
tff(f394,plain,
( in(sK2,empty)
| ( 1 = sK2 )
| ~ spl3_10 ),
inference(resolution,[],[f122,f42]) ).
tff(f42,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f30]) ).
tff(f30,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/tmp/tmp.LwSryFRRd1/Vampire---4.8_27578',ax4) ).
tff(f122,plain,
( in(sK2,add(1,empty))
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f120,plain,
( spl3_10
<=> in(sK2,add(1,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
tff(f177,plain,
~ $less($sum(1,$sum(sK1,sK2)),9),
inference(forward_demodulation,[],[f174,f8]) ).
tff(f8,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f174,plain,
~ $less($sum($sum(sK1,sK2),1),9),
inference(resolution,[],[f64,f13]) ).
tff(f13,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f64,plain,
! [X0: $int] :
( $less(X0,$sum(sK1,sK2))
| ~ $less($sum(X0,1),9) ),
inference(resolution,[],[f48,f17]) ).
tff(f17,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f48,plain,
! [X0: $int] :
( ~ $less($sum(sK1,sK2),X0)
| ~ $less(X0,9) ),
inference(resolution,[],[f36,f14]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f36,plain,
~ $less($sum(sK1,sK2),9),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ~ $less($sum(sK1,sK2),9)
& ( sK1 != sK2 )
& in(sK2,sK0)
& in(sK1,sK0)
& ( add(5,add(3,add(1,empty))) = sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f26]) ).
tff(f26,plain,
( ? [X0: collection,X1: $int,X2: $int] :
( ~ $less($sum(X1,X2),9)
& ( X1 != X2 )
& in(X2,X0)
& in(X1,X0)
& ( add(5,add(3,add(1,empty))) = X0 ) )
=> ( ~ $less($sum(sK1,sK2),9)
& ( sK1 != sK2 )
& in(sK2,sK0)
& in(sK1,sK0)
& ( add(5,add(3,add(1,empty))) = sK0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
? [X0: collection,X1: $int,X2: $int] :
( ~ $less($sum(X1,X2),9)
& ( X1 != X2 )
& in(X2,X0)
& in(X1,X0)
& ( add(5,add(3,add(1,empty))) = X0 ) ),
inference(flattening,[],[f24]) ).
tff(f24,plain,
? [X0: collection,X1: $int,X2: $int] :
( ~ $less($sum(X1,X2),9)
& ( X1 != X2 )
& in(X2,X0)
& in(X1,X0)
& ( add(5,add(3,add(1,empty))) = X0 ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: $int,X2: $int] :
( ( ( X1 != X2 )
& in(X2,X0)
& in(X1,X0)
& ( add(5,add(3,add(1,empty))) = X0 ) )
=> $less($sum(X1,X2),9) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: $int,X2: $int] :
( ( ( X1 != X2 )
& in(X2,X0)
& in(X1,X0)
& ( add(5,add(3,add(1,empty))) = X0 ) )
=> $less($sum(X1,X2),9) ),
file('/export/starexec/sandbox2/tmp/tmp.LwSryFRRd1/Vampire---4.8_27578',co1) ).
tff(f367,plain,
( ~ spl3_9
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f366]) ).
tff(f366,plain,
( $false
| ~ spl3_9
| ~ spl3_11 ),
inference(evaluation,[],[f365]) ).
tff(f365,plain,
( $less(9,$sum(2,3))
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f352,f118]) ).
tff(f118,plain,
( ( 3 = sK2 )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f116]) ).
tff(f116,plain,
( spl3_9
<=> ( 3 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
tff(f352,plain,
( $less(9,$sum(2,sK2))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f350,plain,
( spl3_11
<=> $less(9,$sum(2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
tff(f363,plain,
( ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f362]) ).
tff(f362,plain,
( $false
| ~ spl3_9
| ~ spl3_12 ),
inference(evaluation,[],[f361]) ).
tff(f361,plain,
( ( 9 = $sum(2,3) )
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f356,f118]) ).
tff(f356,plain,
( ( 9 = $sum(2,sK2) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f354]) ).
tff(f354,plain,
( spl3_12
<=> ( 9 = $sum(2,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
tff(f360,plain,
( spl3_9
| spl3_10
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f306,f71,f120,f116]) ).
tff(f71,plain,
( spl3_4
<=> in(sK2,add(3,add(1,empty))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f306,plain,
( in(sK2,add(1,empty))
| ( 3 = sK2 )
| ~ spl3_4 ),
inference(resolution,[],[f73,f42]) ).
tff(f73,plain,
( in(sK2,add(3,add(1,empty)))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f357,plain,
( spl3_11
| spl3_12
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f348,f93,f354,f350]) ).
tff(f93,plain,
( spl3_6
<=> in(sK1,add(1,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f348,plain,
( ( 9 = $sum(2,sK2) )
| $less(9,$sum(2,sK2))
| ~ spl3_6 ),
inference(evaluation,[],[f347]) ).
tff(f347,plain,
( ( 9 = $sum(1,$sum(1,sK2)) )
| $less(9,$sum(2,sK2))
| ~ spl3_6 ),
inference(forward_demodulation,[],[f346,f305]) ).
tff(f305,plain,
( ( 1 = sK1 )
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f304,f43]) ).
tff(f304,plain,
( in(sK1,empty)
| ( 1 = sK1 )
| ~ spl3_6 ),
inference(resolution,[],[f95,f42]) ).
tff(f95,plain,
( in(sK1,add(1,empty))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f346,plain,
( $less(9,$sum(2,sK2))
| ( 9 = $sum(1,$sum(sK1,sK2)) )
| ~ spl3_6 ),
inference(evaluation,[],[f345]) ).
tff(f345,plain,
( $less(9,$sum(1,$sum(1,sK2)))
| ( 9 = $sum(1,$sum(sK1,sK2)) )
| ~ spl3_6 ),
inference(forward_demodulation,[],[f326,f305]) ).
tff(f326,plain,
( $less(9,$sum(1,$sum(sK1,sK2)))
| ( 9 = $sum(1,$sum(sK1,sK2)) ) ),
inference(resolution,[],[f177,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f344,plain,
( ~ spl3_6
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f343]) ).
tff(f343,plain,
( $false
| ~ spl3_6
| ~ spl3_10 ),
inference(evaluation,[],[f342]) ).
tff(f342,plain,
( ~ $less($sum(2,1),9)
| ~ spl3_6
| ~ spl3_10 ),
inference(forward_demodulation,[],[f328,f324]) ).
tff(f324,plain,
( ( 1 = sK2 )
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f323,f43]) ).
tff(f323,plain,
( in(sK2,empty)
| ( 1 = sK2 )
| ~ spl3_10 ),
inference(resolution,[],[f122,f42]) ).
tff(f328,plain,
( ~ $less($sum(2,sK2),9)
| ~ spl3_6 ),
inference(evaluation,[],[f327]) ).
tff(f327,plain,
( ~ $less($sum(1,$sum(1,sK2)),9)
| ~ spl3_6 ),
inference(superposition,[],[f177,f305]) ).
tff(f294,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f293]) ).
tff(f293,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(evaluation,[],[f292]) ).
tff(f292,plain,
( ~ $less($sum(3,5),9)
| ~ spl3_3
| ~ spl3_5 ),
inference(forward_demodulation,[],[f283,f69]) ).
tff(f69,plain,
( ( 5 = sK2 )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f67,plain,
( spl3_3
<=> ( 5 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f283,plain,
( ~ $less($sum(3,sK2),9)
| ~ spl3_5 ),
inference(superposition,[],[f36,f91]) ).
tff(f253,plain,
( spl3_5
| spl3_6
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f231,f102,f93,f89]) ).
tff(f102,plain,
( spl3_8
<=> in(sK1,add(3,add(1,empty))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f231,plain,
( in(sK1,add(1,empty))
| ( 3 = sK1 )
| ~ spl3_8 ),
inference(resolution,[],[f104,f42]) ).
tff(f104,plain,
( in(sK1,add(3,add(1,empty)))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f245,plain,
( ~ spl3_3
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f244]) ).
tff(f244,plain,
( $false
| ~ spl3_3
| ~ spl3_6 ),
inference(evaluation,[],[f243]) ).
tff(f243,plain,
( ~ $less($sum(1,5),9)
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_demodulation,[],[f233,f69]) ).
tff(f233,plain,
( ~ $less($sum(1,sK2),9)
| ~ spl3_6 ),
inference(superposition,[],[f36,f230]) ).
tff(f230,plain,
( ( 1 = sK1 )
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f229,f43]) ).
tff(f229,plain,
( in(sK1,empty)
| ( 1 = sK1 )
| ~ spl3_6 ),
inference(resolution,[],[f95,f42]) ).
tff(f182,plain,
( ~ spl3_7
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f181]) ).
tff(f181,plain,
( $false
| ~ spl3_7
| ~ spl3_10 ),
inference(evaluation,[],[f180]) ).
tff(f180,plain,
( ~ $less($sum(2,5),9)
| ~ spl3_7
| ~ spl3_10 ),
inference(forward_demodulation,[],[f179,f100]) ).
tff(f100,plain,
( ( 5 = sK1 )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f98,plain,
( spl3_7
<=> ( 5 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f179,plain,
( ~ $less($sum(2,sK1),9)
| ~ spl3_10 ),
inference(evaluation,[],[f178]) ).
tff(f178,plain,
( ~ $less($sum(1,$sum(sK1,1)),9)
| ~ spl3_10 ),
inference(forward_demodulation,[],[f177,f173]) ).
tff(f173,plain,
( ( 1 = sK2 )
| ~ spl3_10 ),
inference(subsumption_resolution,[],[f172,f43]) ).
tff(f172,plain,
( in(sK2,empty)
| ( 1 = sK2 )
| ~ spl3_10 ),
inference(resolution,[],[f122,f42]) ).
tff(f148,plain,
( ~ spl3_5
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f125,f116,f89]) ).
tff(f125,plain,
( ( 3 != sK1 )
| ~ spl3_9 ),
inference(superposition,[],[f35,f118]) ).
tff(f35,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f27]) ).
tff(f140,plain,
( ~ spl3_7
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f139]) ).
tff(f139,plain,
( $false
| ~ spl3_7
| ~ spl3_9 ),
inference(evaluation,[],[f138]) ).
tff(f138,plain,
( ~ $less($sum(3,5),9)
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f137,f100]) ).
tff(f137,plain,
( ~ $less($sum(3,sK1),9)
| ~ spl3_9 ),
inference(forward_demodulation,[],[f126,f8]) ).
tff(f126,plain,
( ~ $less($sum(sK1,3),9)
| ~ spl3_9 ),
inference(superposition,[],[f36,f118]) ).
tff(f105,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f85,f102,f98]) ).
tff(f85,plain,
( in(sK1,add(3,add(1,empty)))
| ( 5 = sK1 ) ),
inference(resolution,[],[f60,f42]) ).
tff(f60,plain,
in(sK1,add(5,add(3,add(1,empty)))),
inference(superposition,[],[f33,f32]) ).
tff(f32,plain,
add(5,add(3,add(1,empty))) = sK0,
inference(cnf_transformation,[],[f27]) ).
tff(f33,plain,
in(sK1,sK0),
inference(cnf_transformation,[],[f27]) ).
tff(f96,plain,
( spl3_5
| spl3_6
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f87,f67,f93,f89]) ).
tff(f87,plain,
( in(sK1,add(1,empty))
| ( 3 = sK1 )
| ~ spl3_3 ),
inference(resolution,[],[f86,f42]) ).
tff(f86,plain,
( in(sK1,add(3,add(1,empty)))
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f85,f76]) ).
tff(f76,plain,
( ( 5 != sK1 )
| ~ spl3_3 ),
inference(superposition,[],[f35,f69]) ).
tff(f74,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f65,f71,f67]) ).
tff(f65,plain,
( in(sK2,add(3,add(1,empty)))
| ( 5 = sK2 ) ),
inference(resolution,[],[f59,f42]) ).
tff(f59,plain,
in(sK2,add(5,add(3,add(1,empty)))),
inference(superposition,[],[f34,f32]) ).
tff(f34,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:30:26 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF0_THM_EQU_ARI problem
% 0.11/0.32 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.LwSryFRRd1/Vampire---4.8_27578
% 0.61/0.80 % (27688)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 (2995ds/34Mi)
% 0.61/0.80 % (27692)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 (2995ds/34Mi)
% 0.61/0.80 % (27690)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (27691)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80 % (27689)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 (2995ds/51Mi)
% 0.61/0.80 % (27693)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80 % (27694)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 (2995ds/83Mi)
% 0.61/0.80 % (27695)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 (2995ds/56Mi)
% 0.61/0.82 % (27691)Instruction limit reached!
% 0.61/0.82 % (27691)------------------------------
% 0.61/0.82 % (27691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (27692)Instruction limit reached!
% 0.61/0.82 % (27692)------------------------------
% 0.61/0.82 % (27692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (27691)Termination reason: Unknown
% 0.61/0.82 % (27691)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (27691)Memory used [KB]: 1235
% 0.61/0.82 % (27691)Time elapsed: 0.019 s
% 0.61/0.82 % (27691)Instructions burned: 34 (million)
% 0.61/0.82 % (27691)------------------------------
% 0.61/0.82 % (27691)------------------------------
% 0.61/0.82 % (27692)Termination reason: Unknown
% 0.61/0.82 % (27692)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (27692)Memory used [KB]: 1187
% 0.61/0.82 % (27692)Time elapsed: 0.019 s
% 0.61/0.82 % (27692)Instructions burned: 35 (million)
% 0.61/0.82 % (27692)------------------------------
% 0.61/0.82 % (27692)------------------------------
% 0.61/0.82 % (27688)Instruction limit reached!
% 0.61/0.82 % (27688)------------------------------
% 0.61/0.82 % (27688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (27688)Termination reason: Unknown
% 0.61/0.82 % (27688)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (27688)Memory used [KB]: 1165
% 0.61/0.82 % (27688)Time elapsed: 0.020 s
% 0.61/0.82 % (27688)Instructions burned: 34 (million)
% 0.61/0.82 % (27688)------------------------------
% 0.61/0.82 % (27688)------------------------------
% 0.61/0.82 % (27697)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.82 % (27696)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.82 % (27698)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.82 % (27693)Instruction limit reached!
% 0.61/0.82 % (27693)------------------------------
% 0.61/0.82 % (27693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (27693)Termination reason: Unknown
% 0.61/0.82 % (27693)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (27693)Memory used [KB]: 1299
% 0.61/0.82 % (27693)Time elapsed: 0.026 s
% 0.61/0.82 % (27693)Instructions burned: 45 (million)
% 0.61/0.82 % (27693)------------------------------
% 0.61/0.82 % (27693)------------------------------
% 0.61/0.82 % (27689)Instruction limit reached!
% 0.61/0.82 % (27689)------------------------------
% 0.61/0.82 % (27689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (27689)Termination reason: Unknown
% 0.61/0.82 % (27689)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (27689)Memory used [KB]: 1231
% 0.61/0.82 % (27689)Time elapsed: 0.027 s
% 0.61/0.82 % (27689)Instructions burned: 52 (million)
% 0.61/0.82 % (27689)------------------------------
% 0.61/0.82 % (27689)------------------------------
% 0.61/0.83 % (27699)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.83 % (27700)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.83 % (27695)Instruction limit reached!
% 0.61/0.83 % (27695)------------------------------
% 0.61/0.83 % (27695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (27695)Termination reason: Unknown
% 0.61/0.83 % (27695)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (27695)Memory used [KB]: 1345
% 0.61/0.83 % (27695)Time elapsed: 0.031 s
% 0.61/0.83 % (27695)Instructions burned: 57 (million)
% 0.61/0.83 % (27695)------------------------------
% 0.61/0.83 % (27695)------------------------------
% 0.61/0.83 % (27701)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.84 % (27700)First to succeed.
% 0.61/0.84 % (27690)Instruction limit reached!
% 0.61/0.84 % (27690)------------------------------
% 0.61/0.84 % (27690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (27690)Termination reason: Unknown
% 0.61/0.84 % (27690)Termination phase: Saturation
% 0.61/0.84
% 0.61/0.84 % (27690)Memory used [KB]: 1515
% 0.61/0.84 % (27690)Time elapsed: 0.041 s
% 0.61/0.84 % (27690)Instructions burned: 79 (million)
% 0.61/0.84 % (27690)------------------------------
% 0.61/0.84 % (27690)------------------------------
% 0.61/0.84 % (27700)Refutation found. Thanks to Tanya!
% 0.61/0.84 % SZS status Theorem for Vampire---4
% 0.61/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.84 % (27700)------------------------------
% 0.61/0.84 % (27700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (27700)Termination reason: Refutation
% 0.61/0.84
% 0.61/0.84 % (27700)Memory used [KB]: 1129
% 0.61/0.84 % (27700)Time elapsed: 0.013 s
% 0.61/0.84 % (27700)Instructions burned: 21 (million)
% 0.61/0.84 % (27700)------------------------------
% 0.61/0.84 % (27700)------------------------------
% 0.61/0.84 % (27686)Success in time 0.508 s
% 0.61/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------