TSTP Solution File: SWW542_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW542_5 : TPTP v8.2.0. 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 : n004.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 : Tue May 21 07:01:13 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 57
% Syntax : Number of formulae : 103 ( 1 unt; 46 typ; 0 def)
% Number of atoms : 160 ( 36 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 169 ( 66 ~; 74 |; 4 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 44 ( 28 >; 16 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 6 con; 0-5 aty)
% Number of variables : 136 ( 100 !; 0 ?; 136 :)
% ( 36 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a1: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
huffma1450048681e_tree: $tType > $tType ).
tff(type_def_8,type,
int: $tType ).
tff(type_def_9,type,
nat: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
huffma675207370phabet:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,bool) ) ).
tff(func_def_2,type,
huffma1134658180e_cost:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_3,type,
huffma410068972_depth:
!>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > nat ) ).
tff(func_def_4,type,
huffma1352802255e_freq:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > fun(X0,nat) ) ).
tff(func_def_5,type,
huffma945805758height:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_6,type,
huffma1401021291ibling:
!>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > X0 ) ).
tff(func_def_7,type,
huffma1146269203erNode:
!>[X0: $tType] : ( ( nat * huffma1450048681e_tree(X0) * huffma1450048681e_tree(X0) ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_8,type,
huffma2021818691e_Leaf:
!>[X0: $tType] : ( ( nat * X0 ) > huffma1450048681e_tree(X0) ) ).
tff(func_def_9,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_10,type,
huffma1280178957ee_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(nat,fun(X0,X1)) * fun(nat,fun(huffma1450048681e_tree(X0),fun(huffma1450048681e_tree(X0),fun(X1,fun(X1,X1))))) * huffma1450048681e_tree(X0) ) > X1 ) ).
tff(func_def_11,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_12,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_13,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_14,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_15,type,
fFalse: bool ).
tff(func_def_16,type,
fTrue: bool ).
tff(func_def_17,type,
a: a1 ).
tff(func_def_18,type,
t_1: huffma1450048681e_tree(a1) ).
tff(func_def_19,type,
t_2: huffma1450048681e_tree(a1) ).
tff(func_def_20,type,
w: nat ).
tff(func_def_21,type,
sK0:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_22,type,
sK1:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_23,type,
sK2:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_24,type,
sK3:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_25,type,
sK4:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_26,type,
sK5:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
huffma1518433673istent:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_9,type,
huffma1393970616ptimum:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_10,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_12,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
pp: bool > $o ).
tff(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f273,f274,f290,f292,f320,f322]) ).
tff(f322,plain,
( ~ spl6_2
| spl6_4
| spl6_5 ),
inference(avatar_split_clause,[],[f321,f270,f265,f256]) ).
tff(f256,plain,
( spl6_2
<=> ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f265,plain,
( spl6_4
<=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f270,plain,
( spl6_5
<=> member(a1,a,huffma675207370phabet(a1,t_1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
tff(f321,plain,
( ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| spl6_4
| spl6_5 ),
inference(subsumption_resolution,[],[f316,f271]) ).
tff(f271,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| spl6_5 ),
inference(avatar_component_clause,[],[f270]) ).
tff(f316,plain,
( member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| spl6_4 ),
inference(trivial_inequality_removal,[],[f312]) ).
tff(f312,plain,
( ( huffma1401021291ibling(a1,t_2,a) != huffma1401021291ibling(a1,t_2,a) )
| member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| spl6_4 ),
inference(superposition,[],[f267,f199]) ).
tff(f199,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: X0,X1: nat,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) = huffma1401021291ibling(X0,X4,X3) )
| member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(cnf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) = huffma1401021291ibling(X0,X4,X3) )
| member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(flattening,[],[f162]) ).
tff(f162,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) = huffma1401021291ibling(X0,X4,X3) )
| member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
=> ( ~ member(X0,X3,huffma675207370phabet(X0,X2))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) = huffma1401021291ibling(X0,X4,X3) ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X2: $tType,X12: nat,X13: huffma1450048681e_tree(X2),X14: X2,X15: huffma1450048681e_tree(X2)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X2,X15))
=> ( ~ member(X2,X14,huffma675207370phabet(X2,X13))
=> ( huffma1401021291ibling(X2,X15,X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,X13,X15),X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_height__gt__0__notin__alphabet__imp__sibling__right) ).
tff(f267,plain,
( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_2,a) )
| spl6_4 ),
inference(avatar_component_clause,[],[f265]) ).
tff(f320,plain,
( ~ spl6_1
| spl6_4
| spl6_5 ),
inference(avatar_contradiction_clause,[],[f319]) ).
tff(f319,plain,
( $false
| ~ spl6_1
| spl6_4
| spl6_5 ),
inference(subsumption_resolution,[],[f318,f254]) ).
tff(f254,plain,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f252]) ).
tff(f252,plain,
( spl6_1
<=> ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f318,plain,
( ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| spl6_4
| spl6_5 ),
inference(subsumption_resolution,[],[f317,f271]) ).
tff(f317,plain,
( member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| spl6_4 ),
inference(trivial_inequality_removal,[],[f311]) ).
tff(f311,plain,
( ( huffma1401021291ibling(a1,t_2,a) != huffma1401021291ibling(a1,t_2,a) )
| member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| spl6_4 ),
inference(superposition,[],[f267,f200]) ).
tff(f200,plain,
! [X0: $tType,X2: nat,X3: X0,X1: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) = huffma1401021291ibling(X0,X1,X3) )
| member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(cnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) = huffma1401021291ibling(X0,X1,X3) )
| member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(flattening,[],[f164]) ).
tff(f164,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) = huffma1401021291ibling(X0,X1,X3) )
| member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(ennf_transformation,[],[f132]) ).
tff(f132,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
=> ( ~ member(X0,X3,huffma675207370phabet(X0,X4))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) = huffma1401021291ibling(X0,X1,X3) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: $tType,X15: huffma1450048681e_tree(X2),X12: nat,X14: X2,X13: huffma1450048681e_tree(X2)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X2,X13))
=> ( ~ member(X2,X14,huffma675207370phabet(X2,X13))
=> ( huffma1401021291ibling(X2,X15,X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,X13,X15),X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_height__gt__0__notin__alphabet__imp__sibling__left) ).
tff(f292,plain,
( ~ spl6_5
| ~ spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f291,f261,f256,f270]) ).
tff(f261,plain,
( spl6_3
<=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f291,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ~ spl6_2
| spl6_3 ),
inference(subsumption_resolution,[],[f281,f258]) ).
tff(f258,plain,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f281,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| spl6_3 ),
inference(trivial_inequality_removal,[],[f279]) ).
tff(f279,plain,
( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
| ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| spl6_3 ),
inference(superposition,[],[f263,f197]) ).
tff(f197,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: X0,X1: nat,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X2,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(cnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X2,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(flattening,[],[f158]) ).
tff(f158,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X2,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(ennf_transformation,[],[f129]) ).
tff(f129,plain,
! [X0: $tType,X1: nat,X2: huffma1450048681e_tree(X0),X3: X0,X4: huffma1450048681e_tree(X0)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
=> ( member(X0,X3,huffma675207370phabet(X0,X2))
=> ( huffma1401021291ibling(X0,X2,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) ) ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X2: $tType,X12: nat,X13: huffma1450048681e_tree(X2),X14: X2,X15: huffma1450048681e_tree(X2)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X2,X15))
=> ( member(X2,X14,huffma675207370phabet(X2,X13))
=> ( huffma1401021291ibling(X2,X13,X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,X13,X15),X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_height__gt__0__in__alphabet__imp__sibling__right) ).
tff(f263,plain,
( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a) )
| spl6_3 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f290,plain,
( ~ spl6_1
| ~ spl6_5
| spl6_3 ),
inference(avatar_split_clause,[],[f282,f261,f270,f252]) ).
tff(f282,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| spl6_3 ),
inference(trivial_inequality_removal,[],[f278]) ).
tff(f278,plain,
( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
| ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| spl6_3 ),
inference(superposition,[],[f263,f198]) ).
tff(f198,plain,
! [X0: $tType,X2: nat,X3: X0,X1: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X4,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X4,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(flattening,[],[f160]) ).
tff(f160,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ( huffma1401021291ibling(X0,X4,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(ennf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: X0,X4: huffma1450048681e_tree(X0)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
=> ( member(X0,X3,huffma675207370phabet(X0,X4))
=> ( huffma1401021291ibling(X0,X4,X3) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X2: $tType,X15: huffma1450048681e_tree(X2),X12: nat,X14: X2,X13: huffma1450048681e_tree(X2)] :
( ord_less(nat,zero_zero(nat),huffma945805758height(X2,X13))
=> ( member(X2,X14,huffma675207370phabet(X2,X13))
=> ( huffma1401021291ibling(X2,X13,X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,X13,X15),X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_height__gt__0__in__alphabet__imp__sibling__left) ).
tff(f274,plain,
( ~ spl6_3
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f192,f270,f261]) ).
tff(f192,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a) ) ),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
( ( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_2,a) )
& ~ member(a1,a,huffma675207370phabet(a1,t_1)) )
| ( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a) )
& member(a1,a,huffma675207370phabet(a1,t_1)) ) ),
inference(ennf_transformation,[],[f126]) ).
tff(f126,negated_conjecture,
~ ( ( ~ member(a1,a,huffma675207370phabet(a1,t_1))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) )
& ( member(a1,a,huffma675207370phabet(a1,t_1))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ) ) ),
inference(negated_conjecture,[],[f125]) ).
tff(f125,conjecture,
( ( ~ member(a1,a,huffma675207370phabet(a1,t_1))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) )
& ( member(a1,a,huffma675207370phabet(a1,t_1))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f273,plain,
( spl6_5
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f193,f265,f270]) ).
tff(f193,plain,
( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_2,a) )
| member(a1,a,huffma675207370phabet(a1,t_1)) ),
inference(cnf_transformation,[],[f156]) ).
tff(f259,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f190,f256,f252]) ).
tff(f190,plain,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)) ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,axiom,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW542_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 20:54:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TF1_THM_EQU_NAR problem
% 0.16/0.37 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/benchmark/theBenchmark.p
% 0.58/0.74 % (26752)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74 % (26757)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.74 % (26750)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.74 % (26753)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.74 % (26751)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 theBenchmark for (2996ds/51Mi)
% 0.58/0.74 % (26755)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.74 % (26754)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.74 % (26756)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 theBenchmark for (2996ds/83Mi)
% 0.58/0.74 % (26757)Refutation not found, incomplete strategy% (26757)------------------------------
% 0.58/0.74 % (26757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26757)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26757)Memory used [KB]: 1148
% 0.58/0.74 % (26757)Time elapsed: 0.003 s
% 0.58/0.74 % (26757)Instructions burned: 6 (million)
% 0.58/0.74 % (26757)------------------------------
% 0.58/0.74 % (26757)------------------------------
% 0.58/0.74 % (26756)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.74 % (26758)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 theBenchmark for (2996ds/55Mi)
% 0.58/0.74 % (26756)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.58/0.74 % (26755)First to succeed.
% 0.58/0.75 % (26755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26749"
% 0.58/0.75 % (26755)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for theBenchmark
% 0.58/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.75 % (26755)------------------------------
% 0.58/0.75 % (26755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (26755)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (26755)Memory used [KB]: 1182
% 0.58/0.75 % (26755)Time elapsed: 0.008 s
% 0.58/0.75 % (26755)Instructions burned: 11 (million)
% 0.58/0.75 % (26749)Success in time 0.374 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------