TSTP Solution File: SWW529_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW529_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 : n032.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 04:19:48 EDT 2024
% Result : Theorem 0.44s 0.62s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 79
% Syntax : Number of formulae : 117 ( 10 unt; 66 typ; 0 def)
% Number of atoms : 129 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 130 ( 52 ~; 44 |; 17 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 62 ( 35 >; 27 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 7 prp; 0-3 aty)
% Number of functors : 42 ( 42 usr; 9 con; 0-5 aty)
% Number of variables : 107 ( 47 !; 4 ?; 107 :)
% ( 56 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
code_term: $tType ).
tff(type_def_7,type,
code_code_numeral: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
huffma1450048681e_tree: $tType > $tType ).
tff(type_def_10,type,
nat: $tType ).
tff(type_def_11,type,
product_unit: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_13,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_3,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_4,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_6,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_7,type,
huffma675207370phabet:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,bool) ) ).
tff(func_def_8,type,
huffma410068972_depth:
!>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > nat ) ).
tff(func_def_9,type,
huffma945805758height:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_10,type,
huffma928900296x_tree:
!>[X0: $tType] : ( ( code_code_numeral * code_code_numeral ) > fun(product_prod(code_code_numeral,code_code_numeral),product_prod(product_prod(huffma1450048681e_tree(X0),fun(product_unit,code_term)),product_prod(code_code_numeral,code_code_numeral))) ) ).
tff(func_def_11,type,
huffma1146269203erNode:
!>[X0: $tType] : ( ( nat * huffma1450048681e_tree(X0) * huffma1450048681e_tree(X0) ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_12,type,
huffma2021818691e_Leaf:
!>[X0: $tType] : ( ( nat * X0 ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_13,type,
huffma107959123e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),X1))) * huffma1450048681e_tree(X0) ) > X1 ) ).
tff(func_def_14,type,
inf_inf:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_15,type,
sup_sup:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_16,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_17,type,
random_random:
!>[X0: $tType] : ( code_code_numeral > fun(product_prod(code_code_numeral,code_code_numeral),product_prod(product_prod(X0,fun(product_unit,code_term)),product_prod(code_code_numeral,code_code_numeral))) ) ).
tff(func_def_18,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_19,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_20,type,
fFalse: bool ).
tff(func_def_21,type,
fTrue: bool ).
tff(func_def_22,type,
fconj: fun(bool,fun(bool,bool)) ).
tff(func_def_23,type,
fdisj: fun(bool,fun(bool,bool)) ).
tff(func_def_24,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_25,type,
t_1: huffma1450048681e_tree(a) ).
tff(func_def_26,type,
t_2: huffma1450048681e_tree(a) ).
tff(func_def_27,type,
w: nat ).
tff(func_def_28,type,
sK0: a ).
tff(func_def_29,type,
sK1: a ).
tff(func_def_30,type,
sK2:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_31,type,
sK3:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_32,type,
sK4:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_33,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_34,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_35,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_36,type,
sK8:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_37,type,
sK9:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_38,type,
sK10:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(pred_def_1,type,
enum:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
typerep:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
cl_HOL_Oequal:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
code_term_of:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
random:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
finite_finite:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_14,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_15,type,
huffma1518433673istent:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_16,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(pred_def_19,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f440,plain,
$false,
inference(avatar_sat_refutation,[],[f377,f378,f387,f392,f410,f437]) ).
tff(f437,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_5 ),
inference(avatar_contradiction_clause,[],[f436]) ).
tff(f436,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f433,f426]) ).
tff(f426,plain,
( pp(aa(a,bool,huffma675207370phabet(a,t_1),sK0))
| ~ spl12_5 ),
inference(resolution,[],[f312,f391]) ).
tff(f391,plain,
( pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),sK0),huffma675207370phabet(a,t_1)))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f389]) ).
tff(f389,plain,
( spl12_5
<=> pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),sK0),huffma675207370phabet(a,t_1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
tff(f312,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) )
& ( pp(aa(X0,bool,X1,X2))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1)) ) ),
inference(nnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
<=> pp(aa(X0,bool,X1,X2)) ),
inference(rectify,[],[f74]) ).
tff(f74,axiom,
! [X1: $tType,X36: fun(X1,bool),X25: X1] :
( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X25),X36))
<=> pp(aa(X1,bool,X36,X25)) ),
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',fact_73_mem__def) ).
tff(f433,plain,
( ~ pp(aa(a,bool,huffma675207370phabet(a,t_1),sK0))
| ~ spl12_1
| ~ spl12_4 ),
inference(resolution,[],[f432,f386]) ).
tff(f386,plain,
( sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,sK0))
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f384]) ).
tff(f384,plain,
( spl12_4
<=> sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
tff(f432,plain,
( ! [X0: a] :
( ~ sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,X0))
| ~ pp(aa(a,bool,huffma675207370phabet(a,t_1),X0)) )
| ~ spl12_1 ),
inference(forward_literal_rewriting,[],[f372,f313]) ).
tff(f313,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X1))
| ~ pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f254]) ).
tff(f372,plain,
( ! [X0: a] :
( ~ sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,X0))
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f371]) ).
tff(f371,plain,
( spl12_1
<=> ! [X0: a] :
( ~ sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,X0))
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f410,plain,
spl12_3,
inference(avatar_split_clause,[],[f407,f380]) ).
tff(f380,plain,
( spl12_3
<=> huffma1518433673istent(a,t_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
tff(f407,plain,
huffma1518433673istent(a,t_1),
inference(resolution,[],[f283,f340]) ).
tff(f340,plain,
huffma1518433673istent(a,huffma1146269203erNode(a,w,t_1,t_2)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
huffma1518433673istent(a,huffma1146269203erNode(a,w,t_1,t_2)),
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',fact_0_InnerNode_Oprems) ).
tff(f283,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0)] :
( ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| huffma1518433673istent(X0,X2) ),
inference(cnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
| ~ huffma1518433673istent(X0,X1)
| ~ huffma1518433673istent(X0,X2) )
& ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) )
| ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
inference(flattening,[],[f236]) ).
tff(f236,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( ( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
| ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) != bot_bot(fun(X0,bool)) )
| ~ huffma1518433673istent(X0,X1)
| ~ huffma1518433673istent(X0,X2) )
& ( ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) )
| ~ huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1)) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat] :
( huffma1518433673istent(X0,huffma1146269203erNode(X0,X3,X2,X1))
<=> ( ( inf_inf(fun(X0,bool),huffma675207370phabet(X0,X2),huffma675207370phabet(X0,X1)) = bot_bot(fun(X0,bool)) )
& huffma1518433673istent(X0,X1)
& huffma1518433673istent(X0,X2) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X1: $tType,X15: huffma1450048681e_tree(X1),X16: huffma1450048681e_tree(X1),X17: nat] :
( huffma1518433673istent(X1,huffma1146269203erNode(X1,X17,X16,X15))
<=> ( ( inf_inf(fun(X1,bool),huffma675207370phabet(X1,X16),huffma675207370phabet(X1,X15)) = bot_bot(fun(X1,bool)) )
& huffma1518433673istent(X1,X15)
& huffma1518433673istent(X1,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',fact_13_consistent_Osimps_I2_J) ).
tff(f392,plain,
( ~ spl12_3
| spl12_5 ),
inference(avatar_split_clause,[],[f279,f389,f380]) ).
tff(f279,plain,
( pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),sK0),huffma675207370phabet(a,t_1)))
| ~ huffma1518433673istent(a,t_1) ),
inference(cnf_transformation,[],[f233]) ).
tff(f233,plain,
( ( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,sK0) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),sK0),huffma675207370phabet(a,t_1))) )
| ~ huffma1518433673istent(a,t_1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f212,f232]) ).
tff(f232,plain,
( ? [X0: a] :
( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,X0) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) )
=> ( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,sK0) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),sK0),huffma675207370phabet(a,t_1))) ) ),
introduced(choice_axiom,[]) ).
tff(f212,plain,
( ? [X0: a] :
( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,X0) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) )
| ~ huffma1518433673istent(a,t_1) ),
inference(ennf_transformation,[],[f175]) ).
tff(f175,plain,
( huffma1518433673istent(a,t_1)
=> ? [X0: a] :
( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,X0) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
( huffma1518433673istent(a,t_1)
=> ? [X4: a] :
( ( huffma410068972_depth(a,t_1,X4) = huffma945805758height(a,t_1) )
& pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X4),huffma675207370phabet(a,t_1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',fact_2_InnerNode_I1_J) ).
tff(f387,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f356,f384,f380]) ).
tff(f356,plain,
( sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,sK0))
| ~ huffma1518433673istent(a,t_1) ),
inference(equality_proxy_replacement,[],[f280,f344]) ).
tff(f344,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ11_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ11_eqProxy])]) ).
tff(f280,plain,
( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,sK0) )
| ~ huffma1518433673istent(a,t_1) ),
inference(cnf_transformation,[],[f233]) ).
tff(f378,plain,
~ spl12_2,
inference(avatar_split_clause,[],[f268,f374]) ).
tff(f374,plain,
( spl12_2
<=> thesis ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f268,plain,
~ thesis,
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
~ thesis,
inference(flattening,[],[f163]) ).
tff(f163,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f162]) ).
tff(f162,conjecture,
thesis,
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',conj_1) ).
tff(f377,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f345,f374,f371]) ).
tff(f345,plain,
! [X0: a] :
( thesis
| ~ sQ11_eqProxy(nat,huffma945805758height(a,t_1),huffma410068972_depth(a,t_1,X0))
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ),
inference(equality_proxy_replacement,[],[f267,f344]) ).
tff(f267,plain,
! [X0: a] :
( thesis
| ( huffma945805758height(a,t_1) != huffma410068972_depth(a,t_1,X0) )
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: a] :
( thesis
| ( huffma945805758height(a,t_1) != huffma410068972_depth(a,t_1,X0) )
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ),
inference(flattening,[],[f206]) ).
tff(f206,plain,
! [X0: a] :
( thesis
| ( huffma945805758height(a,t_1) != huffma410068972_depth(a,t_1,X0) )
| ~ pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1))) ),
inference(ennf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: a] :
( pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X0),huffma675207370phabet(a,t_1)))
=> ( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,X0) )
=> thesis ) ),
inference(rectify,[],[f161]) ).
tff(f161,axiom,
! [X56: a] :
( pp(aa(fun(a,bool),bool,aa(a,fun(fun(a,bool),bool),member(a),X56),huffma675207370phabet(a,t_1)))
=> ( ( huffma945805758height(a,t_1) = huffma410068972_depth(a,t_1,X56) )
=> thesis ) ),
file('/export/starexec/sandbox/tmp/tmp.mGfmGiCg8S/Vampire---4.8_28512',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWW529_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 18:02:06 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TF1_THM_EQU_NAR problem
% 0.10/0.30 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.mGfmGiCg8S/Vampire---4.8_28512
% 0.44/0.61 % (28772)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.44/0.61 % (28770)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)
% 0.44/0.61 % (28771)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)
% 0.44/0.61 % (28773)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)
% 0.44/0.61 % (28776)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)
% 0.44/0.61 % (28777)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)
% 0.44/0.62 % (28774)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)
% 0.44/0.62 % (28776)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.44/0.62 % (28776)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.44/0.62 % (28770)First to succeed.
% 0.44/0.62 % (28775)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)
% 0.44/0.62 % (28770)Refutation found. Thanks to Tanya!
% 0.44/0.62 % SZS status Theorem for Vampire---4
% 0.44/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 0.44/0.62 % (28770)------------------------------
% 0.44/0.62 % (28770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.44/0.62 % (28770)Termination reason: Refutation
% 0.44/0.62
% 0.44/0.62 % (28770)Memory used [KB]: 1229
% 0.44/0.62 % (28770)Time elapsed: 0.010 s
% 0.44/0.62 % (28770)Instructions burned: 15 (million)
% 0.44/0.62 % (28770)------------------------------
% 0.44/0.62 % (28770)------------------------------
% 0.44/0.62 % (28766)Success in time 0.314 s
% 0.44/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------