TSTP Solution File: SWW541_5 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n028.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 : Mon Jun 24 18:53:36 EDT 2024
% Result : Theorem 2.26s 0.72s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 120 ( 48 ~; 37 |; 13 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 4 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 6 con; 0-5 aty)
% Number of variables : 111 ( 96 !; 15 ?; 111 :)
% 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: int > nat ).
tff(func_def_22,type,
sK1: fun(int,bool) > nat ).
tff(func_def_23,type,
sK2: fun(int,bool) > int ).
tff(func_def_24,type,
sK3: fun(int,bool) > int ).
tff(func_def_25,type,
sK4: fun(int,bool) > nat ).
tff(func_def_26,type,
sK5:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_27,type,
sK6: ( nat * fun(nat,bool) ) > nat ).
tff(func_def_28,type,
sK7: fun(nat,bool) > nat ).
tff(func_def_29,type,
sK8:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_30,type,
sK9:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_31,type,
sK10:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_32,type,
sK11:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_33,type,
sK12:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_34,type,
sK13:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_35,type,
sK14: fun(nat,nat) > nat ).
tff(func_def_36,type,
sK15: fun(nat,nat) > nat ).
tff(func_def_37,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
huffma1518433673istent:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_10,type,
huffma1393970616ptimum:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > $o ) ).
tff(pred_def_11,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_12,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f7243,plain,
$false,
inference(avatar_sat_refutation,[],[f6580,f6918,f7137,f7242]) ).
tff(f7242,plain,
~ spl17_182,
inference(avatar_contradiction_clause,[],[f7241]) ).
tff(f7241,plain,
( $false
| ~ spl17_182 ),
inference(trivial_inequality_removal,[],[f7240]) ).
tff(f7240,plain,
( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
| ~ spl17_182 ),
inference(superposition,[],[f358,f6917]) ).
tff(f6917,plain,
( ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) )
| ~ spl17_182 ),
inference(avatar_component_clause,[],[f6916]) ).
tff(f6916,plain,
( spl17_182
<=> ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_182])]) ).
tff(f358,plain,
huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a),
inference(cnf_transformation,[],[f132]) ).
tff(f132,plain,
huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a),
inference(flattening,[],[f131]) ).
tff(f131,negated_conjecture,
( ~ huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ),
inference(negated_conjecture,[],[f130]) ).
tff(f130,conjecture,
huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f7137,plain,
( spl17_151
| ~ spl17_181 ),
inference(avatar_split_clause,[],[f7136,f6912,f5722]) ).
tff(f5722,plain,
( spl17_151
<=> ord_less(int,zero_zero(int),zero_zero(int)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_151])]) ).
tff(f6912,plain,
( spl17_181
<=> ( t_1 = huffma2021818691e_Leaf(a1,sK11(a1,t_1),sK12(a1,t_1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_181])]) ).
tff(f7136,plain,
( ord_less(int,zero_zero(int),zero_zero(int))
| ~ spl17_181 ),
inference(forward_demodulation,[],[f7115,f384]) ).
tff(f384,plain,
zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
inference(cnf_transformation,[],[f79]) ).
tff(f79,axiom,
zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f7115,plain,
( ord_less(int,zero_zero(int),semiring_1_of_nat(int,zero_zero(nat)))
| ~ spl17_181 ),
inference(superposition,[],[f968,f7079]) ).
tff(f7079,plain,
( ( zero_zero(nat) = huffma945805758height(a1,t_1) )
| ~ spl17_181 ),
inference(superposition,[],[f496,f6914]) ).
tff(f6914,plain,
( ( t_1 = huffma2021818691e_Leaf(a1,sK11(a1,t_1),sK12(a1,t_1)) )
| ~ spl17_181 ),
inference(avatar_component_clause,[],[f6912]) ).
tff(f496,plain,
! [X0: $tType,X2: nat,X1: X0] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: $tType,X1: X0,X2: nat] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X0: $tType,X17: X0,X30: nat] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X30,X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f968,plain,
ord_less(int,zero_zero(int),semiring_1_of_nat(int,huffma945805758height(a1,t_1))),
inference(resolution,[],[f963,f368]) ).
tff(f368,plain,
linordered_semidom(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
linordered_semidom(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f963,plain,
! [X0: $tType] :
( ~ linordered_semidom(X0)
| ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,huffma945805758height(a1,t_1))) ),
inference(resolution,[],[f407,f360]) ).
tff(f360,plain,
ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)),
inference(cnf_transformation,[],[f128]) ).
tff(f128,axiom,
ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f407,plain,
! [X0: $tType,X1: nat] :
( ~ ord_less(nat,zero_zero(nat),X1)
| ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
| ~ linordered_semidom(X0) ),
inference(cnf_transformation,[],[f302]) ).
tff(f302,plain,
! [X0: $tType] :
( ! [X1: nat] :
( ( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
| ~ ord_less(nat,zero_zero(nat),X1) )
& ( ord_less(nat,zero_zero(nat),X1)
| ~ ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1)) ) )
| ~ linordered_semidom(X0) ),
inference(nnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: $tType] :
( ! [X1: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
<=> ord_less(nat,zero_zero(nat),X1) )
| ~ linordered_semidom(X0) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $tType] :
( linordered_semidom(X0)
=> ! [X1: nat] :
( ord_less(X0,zero_zero(X0),semiring_1_of_nat(X0,X1))
<=> ord_less(nat,zero_zero(nat),X1) ) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X2: $tType] :
( linordered_semidom(X2)
=> ! [X19: nat] :
( ord_less(X2,zero_zero(X2),semiring_1_of_nat(X2,X19))
<=> ord_less(nat,zero_zero(nat),X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f6918,plain,
( spl17_181
| spl17_182 ),
inference(avatar_split_clause,[],[f6891,f6916,f6912]) ).
tff(f6891,plain,
! [X0: nat,X1: huffma1450048681e_tree(a1)] :
( ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) )
| ( t_1 = huffma2021818691e_Leaf(a1,sK11(a1,t_1),sK12(a1,t_1)) ) ),
inference(resolution,[],[f1493,f359]) ).
tff(f359,plain,
member(a1,a,huffma675207370phabet(a1,t_1)),
inference(cnf_transformation,[],[f129]) ).
tff(f129,axiom,
member(a1,a,huffma675207370phabet(a1,t_1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1493,plain,
! [X0: $tType,X2: X0,X3: nat,X1: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] :
( ~ member(X0,X2,huffma675207370phabet(X0,X1))
| ( huffma1401021291ibling(X0,X1,X2) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X3,X1,X4),X2) )
| ( huffma2021818691e_Leaf(X0,sK11(X0,X1),sK12(X0,X1)) = X1 ) ),
inference(superposition,[],[f538,f466]) ).
tff(f466,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ( huffma1146269203erNode(X0,sK8(X0,X1),sK9(X0,X1),sK10(X0,X1)) = X1 )
| ( huffma2021818691e_Leaf(X0,sK11(X0,X1),sK12(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f332]) ).
tff(f332,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ( huffma1146269203erNode(X0,sK8(X0,X1),sK9(X0,X1),sK10(X0,X1)) = X1 )
| ( huffma2021818691e_Leaf(X0,sK11(X0,X1),sK12(X0,X1)) = X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f329,f331,f330]) ).
tff(f330,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
=> ( huffma1146269203erNode(X0,sK8(X0,X1),sK9(X0,X1),sK10(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
tff(f331,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 )
=> ( huffma2021818691e_Leaf(X0,sK11(X0,X1),sK12(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
tff(f329,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X2,X3,X4) = X1 )
| ? [X5: nat,X6: X0] : ( huffma2021818691e_Leaf(X0,X5,X6) = X1 ) ),
inference(rectify,[],[f282]) ).
tff(f282,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ? [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) = X1 )
| ? [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ! [X2: nat,X3: X0] : ( huffma2021818691e_Leaf(X0,X2,X3) != X1 )
=> ~ ! [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) != X1 ) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X0: $tType,X41: huffma1450048681e_tree(X0)] :
( ! [X43: nat,X26: X0] : ( huffma2021818691e_Leaf(X0,X43,X26) != X41 )
=> ~ ! [X43: nat,X44: huffma1450048681e_tree(X0),X45: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X43,X44,X45) != X41 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f538,plain,
! [X0: $tType,X2: nat,X3: huffma1450048681e_tree(X0),X1: huffma1450048681e_tree(X0),X6: X0,X4: huffma1450048681e_tree(X0),X5: nat] :
( ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3)))
| ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) ) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0),X5: nat,X6: X0] :
( ( ( ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = X6 )
| member(X0,X6,huffma675207370phabet(X0,X1)) )
& ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,X1,X6) )
| ~ member(X0,X6,huffma675207370phabet(X0,X1)) ) )
| member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3))) )
& ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) )
| ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3))) ) ),
inference(ennf_transformation,[],[f232]) ).
tff(f232,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: nat,X3: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0),X5: nat,X6: X0] :
( ( ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3)))
=> ( ( ~ member(X0,X6,huffma675207370phabet(X0,X1))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = X6 ) )
& ( member(X0,X6,huffma675207370phabet(X0,X1))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,X1,X6) ) ) ) )
& ( member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X5,X4,X3)))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,huffma1146269203erNode(X0,X5,X4,X3),X1),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X5,X4,X3),X6) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: $tType,X15: huffma1450048681e_tree(X2),X12: nat,X9: huffma1450048681e_tree(X2),X10: huffma1450048681e_tree(X2),X11: nat,X14: X2] :
( ( ~ member(X2,X14,huffma675207370phabet(X2,huffma1146269203erNode(X2,X11,X10,X9)))
=> ( ( ~ member(X2,X14,huffma675207370phabet(X2,X15))
=> ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) = X14 ) )
& ( member(X2,X14,huffma675207370phabet(X2,X15))
=> ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) = huffma1401021291ibling(X2,X15,X14) ) ) ) )
& ( member(X2,X14,huffma675207370phabet(X2,huffma1146269203erNode(X2,X11,X10,X9)))
=> ( huffma1401021291ibling(X2,huffma1146269203erNode(X2,X11,X10,X9),X14) = huffma1401021291ibling(X2,huffma1146269203erNode(X2,X12,huffma1146269203erNode(X2,X11,X10,X9),X15),X14) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f6580,plain,
~ spl17_151,
inference(avatar_contradiction_clause,[],[f6576]) ).
tff(f6576,plain,
( $false
| ~ spl17_151 ),
inference(resolution,[],[f5724,f562]) ).
tff(f562,plain,
! [X1: int] : ~ ord_less(int,X1,X1),
inference(equality_resolution,[],[f471]) ).
tff(f471,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f336]) ).
tff(f336,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(flattening,[],[f335]) ).
tff(f335,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(nnf_transformation,[],[f193]) ).
tff(f193,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
<=> ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) ) ),
inference(rectify,[],[f84]) ).
tff(f84,axiom,
! [X12: int,X64: int] :
( ord_less(int,X64,X12)
<=> ( ( X12 != X64 )
& ord_less_eq(int,X64,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f5724,plain,
( ord_less(int,zero_zero(int),zero_zero(int))
| ~ spl17_151 ),
inference(avatar_component_clause,[],[f5722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW541_5 : TPTP v8.2.0. Released v6.0.0.
% 0.12/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n028.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 : Wed Jun 19 05:55:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.36 This is a TF1_THM_EQU_NAR problem
% 0.19/0.36 Running first-order model finding
% 0.19/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (15223)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.44 % Exception at run slice level
% 0.21/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.44 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (15229)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.44 % (15229)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.44 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (15228)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.44 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (15225)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.44 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (15227)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.44 % (15227)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.45 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (15224)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.45 % Exception at run slice level
% 0.21/0.45 User error: Immediate (shared) subterms of term/literal huffma1401021291ibling(huffma945805758height,X0,a) have different types/not well-typed!
% 0.21/0.45 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (15226)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.45 % (15226)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.45 % Exception at run slice level
% 0.21/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.45 % (15226)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.45 % Exception at run slice level
% 0.21/0.45 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.49 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (15232)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.21/0.49 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (15233)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.21/0.50 % (15229)Instruction limit reached!
% 0.21/0.50 % (15229)------------------------------
% 0.21/0.50 % (15229)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (15229)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (15229)Termination reason: Time limit
% 0.21/0.50 % (15229)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (15229)Memory used [KB]: 2287
% 0.21/0.50 % (15229)Time elapsed: 0.061 s
% 0.21/0.50 % (15229)Instructions burned: 116 (million)
% 0.21/0.50 % (15227)Instruction limit reached!
% 0.21/0.50 % (15227)------------------------------
% 0.21/0.50 % (15227)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (15227)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (15227)Termination reason: Time limit
% 0.21/0.50 % (15227)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (15227)Memory used [KB]: 1591
% 0.21/0.50 % (15227)Time elapsed: 0.083 s
% 0.21/0.50 % (15227)Instructions burned: 104 (million)
% 0.21/0.50 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50 % (15230)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.50 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50 % (15231)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.21/0.50 % (15230)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.53 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (15234)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.21/0.53 % Exception at run slice level
% 0.21/0.53 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.56 % (15222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.56 % (15235)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 0.21/0.56 % (15232)Instruction limit reached!
% 0.21/0.56 % (15232)------------------------------
% 0.21/0.56 % (15232)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.56 % (15232)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.56 % (15232)Termination reason: Time limit
% 1.36/0.56 % (15232)Termination phase: Saturation
% 1.36/0.56
% 1.36/0.56 % (15232)Memory used [KB]: 1866
% 1.36/0.56 % (15232)Time elapsed: 0.080 s
% 1.36/0.57 % (15232)Instructions burned: 270 (million)
% 1.36/0.57 % (15222)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.57 % (15236)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.36/0.57 % (15236)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.49/0.59 % (15231)Instruction limit reached!
% 1.49/0.59 % (15231)------------------------------
% 1.49/0.59 % (15231)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.49/0.59 % (15231)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.49/0.59 % (15231)Termination reason: Time limit
% 1.49/0.59 % (15231)Termination phase: Saturation
% 1.49/0.59
% 1.49/0.59 % (15231)Memory used [KB]: 2697
% 1.49/0.59 % (15231)Time elapsed: 0.086 s
% 1.49/0.59 % (15231)Instructions burned: 175 (million)
% 1.49/0.60 % (15222)Running in auto input_syntax mode. Trying TPTP
% 1.49/0.60 % (15237)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.49/0.60 % (15237)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.49/0.60 % Exception at run slice level
% 1.49/0.60 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.79/0.64 % (15222)Running in auto input_syntax mode. Trying TPTP
% 1.79/0.64 % (15239)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 1.85/0.65 % (15222)Running in auto input_syntax mode. Trying TPTP
% 1.85/0.65 % (15238)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2997ds/2892Mi)
% 1.85/0.65 % Exception at run slice level
% 1.85/0.65 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.85/0.70 % (15230)Instruction limit reached!
% 1.85/0.70 % (15230)------------------------------
% 1.85/0.70 % (15230)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.85/0.70 % (15230)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.85/0.70 % (15230)Termination reason: Time limit
% 1.85/0.70 % (15230)Termination phase: Saturation
% 1.85/0.70
% 1.85/0.70 % (15230)Memory used [KB]: 2879
% 1.85/0.70 % (15230)Time elapsed: 0.200 s
% 1.85/0.70 % (15230)Instructions burned: 405 (million)
% 2.26/0.71 % (15222)Running in auto input_syntax mode. Trying TPTP
% 2.26/0.71 % (15240)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2997ds/1735Mi)
% 2.26/0.71 % (15240)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 2.26/0.72 % (15233)First to succeed.
% 2.26/0.72 % (15233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15222"
% 2.26/0.72 % (15222)Running in auto input_syntax mode. Trying TPTP
% 2.26/0.72 % (15233)Refutation found. Thanks to Tanya!
% 2.26/0.72 % SZS status Theorem for theBenchmark
% 2.26/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.72 % (15233)------------------------------
% 2.26/0.72 % (15233)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.26/0.72 % (15233)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.26/0.72 % (15233)Termination reason: Refutation
% 2.26/0.72
% 2.26/0.72 % (15233)Memory used [KB]: 3023
% 2.26/0.72 % (15233)Time elapsed: 0.231 s
% 2.26/0.72 % (15233)Instructions burned: 774 (million)
% 2.26/0.72 % (15233)------------------------------
% 2.26/0.72 % (15233)------------------------------
% 2.26/0.72 % (15222)Success in time 0.34 s
%------------------------------------------------------------------------------