TSTP Solution File: SWW530_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW530_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 11:18:53 EDT 2024
% Result : Theorem 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 57
% Syntax : Number of formulae : 94 ( 13 unt; 44 typ; 0 def)
% Number of atoms : 108 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 39 ~; 41 |; 1 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 40 ( 23 >; 17 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 7 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-5 aty)
% Number of variables : 78 ( 42 !; 0 ?; 78 :)
% ( 36 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
b: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
huffma1450048681e_tree: $tType > $tType ).
tff(type_def_9,type,
int: $tType ).
tff(type_def_10,type,
list: $tType > $tType ).
tff(type_def_11,type,
nat: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
huffma410068972_depth:
!>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > nat ) ).
tff(func_def_2,type,
huffma945805758height:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_3,type,
huffma632063779ight_F:
!>[X0: $tType] : ( list(huffma1450048681e_tree(X0)) > nat ) ).
tff(func_def_4,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_5,type,
nat1: int > nat ).
tff(func_def_6,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_8,type,
linorder_sort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_10,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_11,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_12,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_13,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_14,type,
ord_max:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
a1: a ).
tff(func_def_19,type,
t_1: huffma1450048681e_tree(b) ).
tff(func_def_20,type,
t_2: huffma1450048681e_tree(a) ).
tff(pred_def_1,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_12,type,
nat_tr1645093318rphism:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f371,plain,
$false,
inference(avatar_sat_refutation,[],[f265,f266,f331,f340,f360,f370]) ).
tff(f370,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f369]) ).
tff(f369,plain,
( $false
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f362,f211]) ).
tff(f211,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X1: X0] : ord_less_eq(nat,huffma410068972_depth(X0,X2,X1),huffma945805758height(X0,X2)),
inference(cnf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: $tType,X1: X0,X2: huffma1450048681e_tree(X0)] : ord_less_eq(nat,huffma410068972_depth(X0,X2,X1),huffma945805758height(X0,X2)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X0: $tType,X4: X0,X6: huffma1450048681e_tree(X0)] : ord_less_eq(nat,huffma410068972_depth(X0,X6,X4),huffma945805758height(X0,X6)),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',fact_1_depth__le__height) ).
tff(f362,plain,
( ~ ord_less_eq(nat,huffma410068972_depth(a,t_2,a1),huffma945805758height(a,t_2))
| spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f260,f315]) ).
tff(f315,plain,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(b,t_1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f313,plain,
( spl0_5
<=> ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(b,t_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f260,plain,
( ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| spl0_2 ),
inference(avatar_component_clause,[],[f258]) ).
tff(f258,plain,
( spl0_2
<=> ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f360,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f344,f258,f309]) ).
tff(f309,plain,
( spl0_4
<=> ord_less_eq(nat,huffma945805758height(a,t_2),huffma945805758height(b,t_1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f344,plain,
( ord_less_eq(nat,huffma945805758height(a,t_2),huffma945805758height(b,t_1))
| spl0_2 ),
inference(resolution,[],[f260,f217]) ).
tff(f217,plain,
! [X0: nat,X1: nat] :
( ord_less_eq(nat,X1,X0)
| ord_less_eq(nat,X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: nat,X1: nat] :
( ord_less_eq(nat,X0,X1)
| ord_less_eq(nat,X1,X0) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X27: nat,X28: nat] :
( ord_less_eq(nat,X27,X28)
| ord_less_eq(nat,X28,X27) ),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',fact_47_nat__le__linear) ).
tff(f340,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f339,f254,f258]) ).
tff(f254,plain,
( spl0_1
<=> ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f339,plain,
( ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| spl0_1 ),
inference(subsumption_resolution,[],[f338,f214]) ).
tff(f214,plain,
linorder(nat),
inference(cnf_transformation,[],[f117]) ).
tff(f117,axiom,
linorder(nat),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',arity_Nat_Onat___Orderings_Olinorder) ).
tff(f338,plain,
( ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ~ linorder(nat)
| spl0_1 ),
inference(subsumption_resolution,[],[f297,f256]) ).
tff(f256,plain,
( ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) )
| spl0_1 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f297,plain,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2) )
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ~ linorder(nat) ),
inference(superposition,[],[f240,f208]) ).
tff(f208,plain,
huffma410068972_depth(a,t_2,a1) = ord_max(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)),
inference(cnf_transformation,[],[f130]) ).
tff(f130,axiom,
huffma410068972_depth(a,t_2,a1) = ord_max(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',conj_0) ).
tff(f240,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ord_max(X0,X2,X1) = X1 )
| ~ ord_less_eq(X0,X2,X1)
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f205]) ).
tff(f205,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ord_less_eq(X0,X2,X1)
| ( ord_max(X0,X2,X1) != X1 ) )
& ( ( ord_max(X0,X2,X1) = X1 )
| ~ ord_less_eq(X0,X2,X1) ) )
| ~ linorder(X0) ),
inference(nnf_transformation,[],[f195]) ).
tff(f195,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X2,X1)
<=> ( ord_max(X0,X2,X1) = X1 ) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X2,X1)
<=> ( ord_max(X0,X2,X1) = X1 ) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X7: $tType] :
( linorder(X7)
=> ! [X9: X7,X10: X7] :
( ord_less_eq(X7,X10,X9)
<=> ( ord_max(X7,X10,X9) = X9 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',fact_8_min__max_Ole__iff__sup) ).
tff(f331,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f330,f313,f309]) ).
tff(f330,plain,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(b,t_1) )
| ~ ord_less_eq(nat,huffma945805758height(a,t_2),huffma945805758height(b,t_1)) ),
inference(subsumption_resolution,[],[f290,f214]) ).
tff(f290,plain,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(b,t_1) )
| ~ ord_less_eq(nat,huffma945805758height(a,t_2),huffma945805758height(b,t_1))
| ~ linorder(nat) ),
inference(superposition,[],[f233,f208]) ).
tff(f233,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( ord_max(X0,X1,X2) = X1 )
| ~ ord_less_eq(X0,X2,X1)
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ord_max(X0,X1,X2) = X1 )
| ~ ord_less_eq(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ord_less_eq(X0,X2,X1)
=> ( ord_max(X0,X1,X2) = X1 ) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X13: X0,X12: X0] :
( ord_less_eq(X0,X12,X13)
=> ( ord_max(X0,X13,X12) = X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',fact_13_min__max_Osup__absorb1) ).
tff(f266,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f210,f262]) ).
tff(f262,plain,
( spl0_3
<=> p ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f210,plain,
~ p,
inference(cnf_transformation,[],[f134]) ).
tff(f134,plain,
~ p,
inference(flattening,[],[f133]) ).
tff(f133,negated_conjecture,
~ p,
inference(negated_conjecture,[],[f132]) ).
tff(f132,conjecture,
p,
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',conj_2) ).
tff(f265,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f209,f262,f258,f254]) ).
tff(f209,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(flattening,[],[f167]) ).
tff(f167,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,axiom,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2) )
=> ( ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
=> p ) ),
file('/export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418',conj_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW530_5 : TPTP v8.1.2. Released v6.0.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n020.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 : Fri May 3 19:28:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF1_THM_EQU_NAR problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.nJ5kW4sAof/Vampire---4.8_16418
% 0.61/0.75 % (16534)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)
% 0.61/0.75 % (16527)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)
% 0.61/0.75 % (16529)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.75 % (16531)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)
% 0.61/0.75 % (16530)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)
% 0.61/0.75 % (16532)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)
% 0.61/0.75 % (16533)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)
% 0.61/0.75 % (16528)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)
% 0.61/0.76 % (16533)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.76 % (16533)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.76 % (16532)First to succeed.
% 0.61/0.76 % (16532)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16526"
% 0.61/0.76 % (16529)Also succeeded, but the first one will report.
% 0.61/0.76 % (16532)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Theorem for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (16532)------------------------------
% 0.61/0.76 % (16532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (16532)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (16532)Memory used [KB]: 1177
% 0.61/0.76 % (16532)Time elapsed: 0.007 s
% 0.61/0.76 % (16532)Instructions burned: 10 (million)
% 0.61/0.76 % (16526)Success in time 0.393 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------