%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW542_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:40:25 PM UTC 2026
% Result : Theorem 6.26s 1.25s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 10 unt; 0 typ; 5 def)
% Number of atoms : 215 ( 58 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 226 ( 92 ~; 105 |; 8 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 6 con; 0-5 aty)
% Number of variables : 132 ( 0 sgn 127 !; 5 ?; 132 :)
% 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) > X0 ) ).
tff(func_def_22,type,
sK1:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_23,type,
sK2:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_24,type,
sK3:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_25,type,
sK4:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_26,type,
sK5:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > huffma1450048681e_tree(X0) ) ).
tff(func_def_27,type,
sK6:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > X0 ) ).
tff(func_def_28,type,
sK7: fun(nat,bool) > nat ).
tff(func_def_29,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_30,type,
sK9: int > nat ).
tff(func_def_31,type,
sK10: ( nat * fun(nat,bool) ) > nat ).
tff(func_def_32,type,
sK11: fun(int,bool) > int ).
tff(func_def_33,type,
sK12: fun(int,bool) > nat ).
tff(func_def_34,type,
sK13: fun(int,bool) > int ).
tff(func_def_35,type,
sK14: fun(int,bool) > nat ).
tff(func_def_36,type,
sK15: int > nat ).
tff(func_def_37,type,
sK16: int > nat ).
tff(func_def_38,type,
sK17: fun(nat,nat) > nat ).
tff(func_def_39,type,
sK18: fun(nat,nat) > nat ).
tff(func_def_40,type,
sK19:
!>[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,
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(f2,axiom,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat,X4: nat,X5: huffma1450048681e_tree(X0),X6: X0] :
( ( member(X0,X6,huffma675207370phabet(X0,X5))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = huffma1401021291ibling(X0,X5,X6) ) )
& ( ~ member(X0,X6,huffma675207370phabet(X0,X5))
=> ( ( member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X3,X2,X1)))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X3,X2,X1),X6) ) )
& ( ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X3,X2,X1)))
=> ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = X6 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_sibling_Osimps_I4_J) ).
tff(f5,axiom,
! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_height__gt__0__notin__alphabet__imp__sibling__left) ).
tff(f6,axiom,
! [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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_height__gt__0__notin__alphabet__imp__sibling__right) ).
tff(f7,axiom,
! [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,X4,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_height__gt__0__in__alphabet__imp__sibling__left) ).
tff(f23,axiom,
! [X0: $tType,X1: X0,X2: nat] : ( huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) = zero_zero(nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_height_Osimps_I1_J) ).
tff(f33,axiom,
! [X0: nat] : ~ ord_less(nat,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_less__irrefl__nat) ).
tff(f40,axiom,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ! [X2: nat,X3: X0] : ( X1 != huffma2021818691e_Leaf(X0,X2,X3) )
=> ~ ! [X2: nat,X4: huffma1450048681e_tree(X0),X5: huffma1450048681e_tree(X0)] : ( X1 != huffma1146269203erNode(X0,X2,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_tree_Oexhaust) ).
tff(f124,axiom,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f125,conjecture,
( ( 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))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f126,negated_conjecture,
~ ( ( 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))
=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) ) ),
inference(negated_conjecture,[status(cth)],[f125]) ).
tff(f128,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ! [X2: nat,X3: X0] : ( X1 != huffma2021818691e_Leaf(X0,X2,X3) )
=> ~ ! [X4: nat,X5: huffma1450048681e_tree(X0),X6: huffma1450048681e_tree(X0)] : ( huffma1146269203erNode(X0,X4,X5,X6) != X1 ) ),
inference(rectify,[],[f40]) ).
tff(f131,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0),X2: huffma1450048681e_tree(X0),X3: nat,X4: nat,X5: huffma1450048681e_tree(X0),X6: X0] :
( ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = huffma1401021291ibling(X0,X5,X6) )
| ~ member(X0,X6,huffma675207370phabet(X0,X5)) )
& ( ( ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = huffma1401021291ibling(X0,huffma1146269203erNode(X0,X3,X2,X1),X6) )
| ~ member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X3,X2,X1))) )
& ( ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = X6 )
| member(X0,X6,huffma675207370phabet(X0,huffma1146269203erNode(X0,X3,X2,X1))) ) )
| member(X0,X6,huffma675207370phabet(X0,X5)) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f134,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,[],[f5]) ).
tff(f135,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,[],[f134]) ).
tff(f136,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,[],[f6]) ).
tff(f137,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,[],[f136]) ).
tff(f138,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,X4,X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(ennf_transformation,[],[f7]) ).
tff(f139,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,X4,X3) )
| ~ member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4)) ),
inference(flattening,[],[f138]) ).
tff(f157,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,[],[f128]) ).
tff(f196,plain,
( ( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a) )
& 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)) ) ),
inference(ennf_transformation,[],[f126]) ).
tff(f203,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: nat,X1: huffma1450048681e_tree(X0),X6: X0,X4: nat,X5: huffma1450048681e_tree(X0)] :
( ~ member(X0,X6,huffma675207370phabet(X0,X5))
| ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X4,X5,huffma1146269203erNode(X0,X3,X2,X1)),X6) = huffma1401021291ibling(X0,X5,X6) ) ),
inference(cnf_transformation,[],[f131]) ).
tff(f208,plain,
! [X0: $tType,X2: nat,X3: X0,X1: huffma1450048681e_tree(X0),X4: huffma1450048681e_tree(X0)] :
( member(X0,X3,huffma675207370phabet(X0,X4))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
| ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X2,X4,X1),X3) = huffma1401021291ibling(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f135]) ).
tff(f209,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X3: X0,X1: nat,X4: huffma1450048681e_tree(X0)] :
( member(X0,X3,huffma675207370phabet(X0,X2))
| ~ ord_less(nat,zero_zero(nat),huffma945805758height(X0,X4))
| ( huffma1401021291ibling(X0,huffma1146269203erNode(X0,X1,X2,X4),X3) = huffma1401021291ibling(X0,X4,X3) ) ),
inference(cnf_transformation,[],[f137]) ).
tff(f210,plain,
! [X0: $tType,X2: nat,X3: X0,X1: huffma1450048681e_tree(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,X4,X3) ) ),
inference(cnf_transformation,[],[f139]) ).
tff(f231,plain,
! [X0: $tType,X2: nat,X1: X0] : ( zero_zero(nat) = huffma945805758height(X0,huffma2021818691e_Leaf(X0,X2,X1)) ),
inference(cnf_transformation,[],[f23]) ).
tff(f240,plain,
! [X0: nat] : ~ ord_less(nat,X0,X0),
inference(cnf_transformation,[],[f33]) ).
tff(f250,plain,
! [X0: $tType,X1: huffma1450048681e_tree(X0)] :
( ( huffma1146269203erNode(X0,sK3(X0,X1),sK4(X0,X1),sK5(X0,X1)) = X1 )
| ( huffma2021818691e_Leaf(X0,sK1(X0,X1),sK2(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f157]) ).
tff(f368,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(f369,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,[],[f196]) ).
tff(f371,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,[],[f196]) ).
tff(f398,definition,
( spl20_1
<=> member(a1,a,huffma675207370phabet(a1,t_1)) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
tff(f399,plain,
( ~ member(a1,a,huffma675207370phabet(a1,t_1))
| spl20_1 ),
inference(avatar_component_clause,[],[f398]) ).
tff(f400,plain,
( member(a1,a,huffma675207370phabet(a1,t_1))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f398]) ).
tff(f402,definition,
( spl20_2
<=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_2,a) ) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
tff(f404,plain,
( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_2,a) )
| spl20_2 ),
inference(avatar_component_clause,[],[f402]) ).
tff(f405,plain,
( spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f369,f402,f398]) ).
tff(f407,definition,
( spl20_3
<=> ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) = huffma1401021291ibling(a1,t_1,a) ) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
tff(f409,plain,
( ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) != huffma1401021291ibling(a1,t_1,a) )
| spl20_3 ),
inference(avatar_component_clause,[],[f407]) ).
tff(f410,plain,
( ~ spl20_3
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f371,f398,f407]) ).
tff(f841,definition,
( spl20_6
<=> ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
tff(f843,plain,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f841]) ).
tff(f845,definition,
( spl20_7
<=> ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2)) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
tff(f847,plain,
( ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f845]) ).
tff(f848,plain,
( spl20_6
| spl20_7 ),
inference(avatar_split_clause,[],[f368,f845,f841]) ).
tff(f1479,plain,
( ! [X0: nat,X1: huffma1450048681e_tree(a1)] :
( ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1))
| ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) = huffma1401021291ibling(a1,X1,a) ) )
| spl20_1 ),
inference(resolution,[],[f208,f399]) ).
tff(f1481,plain,
( ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) = huffma1401021291ibling(a1,X1,a) )
| spl20_1
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f1479,f843]) ).
tff(f1482,plain,
( ( huffma1401021291ibling(a1,t_2,a) != huffma1401021291ibling(a1,t_2,a) )
| spl20_1
| spl20_2
| ~ spl20_6 ),
inference(superposition,[],[f404,f1481]) ).
tff(f1483,plain,
( $false
| spl20_1
| spl20_2
| ~ spl20_6 ),
inference(trivial_inequality_removal,[],[f1482]) ).
tff(f1484,plain,
( spl20_1
| spl20_2
| ~ spl20_6 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
tff(f1531,plain,
( ! [X2: huffma1450048681e_tree(a1),X3: huffma1450048681e_tree(a1),X0: nat,X1: nat] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,huffma1146269203erNode(a1,X1,X2,X3)),a) )
| ~ spl20_1 ),
inference(resolution,[],[f400,f203]) ).
tff(f1537,plain,
( ! [X0: huffma1450048681e_tree(a1),X1: nat] :
( ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X1,t_1,X0),a) )
| ( huffma2021818691e_Leaf(a1,sK1(a1,X0),sK2(a1,X0)) = X0 ) )
| ~ spl20_1 ),
inference(superposition,[],[f1531,f250]) ).
tff(f1604,plain,
( ! [X0: huffma1450048681e_tree(a1),X1: nat] :
( ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X1,t_1,X0),a) )
| ( zero_zero(nat) = huffma945805758height(a1,X0) ) )
| ~ spl20_1 ),
inference(superposition,[],[f231,f1537]) ).
tff(f1637,plain,
( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
| ( zero_zero(nat) = huffma945805758height(a1,t_2) )
| ~ spl20_1
| spl20_3 ),
inference(superposition,[],[f409,f1604]) ).
tff(f1639,plain,
( ( zero_zero(nat) = huffma945805758height(a1,t_2) )
| ~ spl20_1
| spl20_3 ),
inference(trivial_inequality_removal,[],[f1637]) ).
tff(f1651,plain,
( ord_less(nat,zero_zero(nat),zero_zero(nat))
| ~ spl20_1
| spl20_3
| ~ spl20_7 ),
inference(superposition,[],[f847,f1639]) ).
tff(f1661,plain,
( $false
| ~ spl20_1
| spl20_3
| ~ spl20_7 ),
inference(forward_subsumption_resolution,[],[f1651,f240]) ).
tff(f1662,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_7 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
tff(f1665,plain,
( ! [X0: huffma1450048681e_tree(a1),X1: nat] :
( ~ ord_less(nat,zero_zero(nat),huffma945805758height(a1,X0))
| ( huffma1401021291ibling(a1,X0,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X1,t_1,X0),a) ) )
| spl20_1 ),
inference(resolution,[],[f399,f209]) ).
tff(f1754,plain,
( ! [X0: nat] : ( huffma1401021291ibling(a1,t_2,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,t_2),a) )
| spl20_1
| ~ spl20_7 ),
inference(resolution,[],[f1665,f847]) ).
tff(f1763,plain,
( ( huffma1401021291ibling(a1,t_2,a) != huffma1401021291ibling(a1,t_2,a) )
| spl20_1
| spl20_2
| ~ spl20_7 ),
inference(superposition,[],[f404,f1754]) ).
tff(f1764,plain,
( $false
| spl20_1
| spl20_2
| ~ spl20_7 ),
inference(trivial_inequality_removal,[],[f1763]) ).
tff(f1765,plain,
( spl20_1
| spl20_2
| ~ spl20_7 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
tff(f1780,plain,
( ! [X2: huffma1450048681e_tree(a1),X0: a1,X1: nat] :
( ~ member(a1,X0,huffma675207370phabet(a1,t_1))
| ( huffma1401021291ibling(a1,huffma1146269203erNode(a1,X1,t_1,X2),X0) = huffma1401021291ibling(a1,t_1,X0) ) )
| ~ spl20_6 ),
inference(resolution,[],[f843,f210]) ).
tff(f2577,plain,
( ! [X0: nat,X1: huffma1450048681e_tree(a1)] : ( huffma1401021291ibling(a1,t_1,a) = huffma1401021291ibling(a1,huffma1146269203erNode(a1,X0,t_1,X1),a) )
| ~ spl20_1
| ~ spl20_6 ),
inference(resolution,[],[f1780,f400]) ).
tff(f2589,plain,
( ( huffma1401021291ibling(a1,t_1,a) != huffma1401021291ibling(a1,t_1,a) )
| ~ spl20_1
| spl20_3
| ~ spl20_6 ),
inference(superposition,[],[f409,f2577]) ).
tff(f2591,plain,
( $false
| ~ spl20_1
| spl20_3
| ~ spl20_6 ),
inference(trivial_inequality_removal,[],[f2589]) ).
tff(f2592,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_6 ),
inference(avatar_contradiction_clause,[],[f2591]) ).
cnf(s1,plain,
( spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f405]) ).
cnf(s2,plain,
( ~ spl20_1
| ~ spl20_3 ),
inference(sat_conversion,[],[f410]) ).
cnf(s4,plain,
( spl20_6
| spl20_7 ),
inference(sat_conversion,[],[f848]) ).
cnf(s7,plain,
( spl20_1
| spl20_2
| ~ spl20_6 ),
inference(sat_conversion,[],[f1484]) ).
cnf(s9,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_7 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s10,plain,
( spl20_1
| spl20_2
| ~ spl20_7 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s14,plain,
( ~ spl20_1
| spl20_3
| ~ spl20_6 ),
inference(sat_conversion,[],[f2592]) ).
cnf(s16,plain,
( spl20_2
| spl20_1 ),
inference(rat,[],[s4,s7,s10]) ).
cnf(s17,plain,
spl20_1,
inference(rat,[],[s16,s1]) ).
cnf(s19,plain,
~ spl20_3,
inference(rat,[],[s2,s17]) ).
cnf(s20,plain,
~ spl20_6,
inference(rat,[],[s14,s17,s19]) ).
cnf(s21,plain,
~ spl20_7,
inference(rat,[],[s9,s17,s19]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s4,s21,s20]) ).
tff(f2594,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW542_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n019.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 14:18:33 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28 Running first-order model finding
% 0.11/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.26/1.25 % (4024412)Will run a generic schedule for satisfiability detection.
% 6.26/1.25 % (4024419)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2380951252:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.26/1.25 % (4024423)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=272377815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.26/1.25 % (4024418)% WARNING: option uhcvi not known.
% 6.26/1.25 % (4024417)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2612914667_2999 on theBenchmark for (2999ds/0Mi)
% 6.26/1.25 % (4024421)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2324912587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.26/1.25 % (4024420)dis+10_1_sil=32000:sp=arity:random_seed=74191063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.26/1.25 % (4024418)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3111824344:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.26/1.25 % (4024422)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=411921066:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024431)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1340084740:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024433)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3184253870:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.26/1.25 % (4024421)Instruction limit reached!
% 6.26/1.25 % (4024421)------------------------------
% 6.26/1.25 % (4024421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024421)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024421)Termination reason: Instruction limit
% 6.26/1.25 % (4024421)Termination phase: Saturation
% 6.26/1.25 % (4024421)Time elapsed: 0.103 s
% 6.26/1.25 % (4024421)Peak memory usage: 12 MB
% 6.26/1.25 % (4024421)Instructions burned: 116 (million)
% 6.26/1.25 % (4024423)Instruction limit reached!
% 6.26/1.25 % (4024423)------------------------------
% 6.26/1.25 % (4024423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024423)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024423)Termination reason: Instruction limit
% 6.26/1.25 % (4024423)Termination phase: Saturation
% 6.26/1.25 % (4024423)Time elapsed: 0.112 s
% 6.26/1.25 % (4024423)Peak memory usage: 13 MB
% 6.26/1.25 % (4024423)Instructions burned: 159 (million)
% 6.26/1.25 % (4024420)Instruction limit reached!
% 6.26/1.25 % (4024420)------------------------------
% 6.26/1.25 % (4024420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024420)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024420)Termination reason: Instruction limit
% 6.26/1.25 % (4024420)Termination phase: Saturation
% 6.26/1.25 % (4024420)Time elapsed: 0.107 s
% 6.26/1.25 % (4024420)Peak memory usage: 12 MB
% 6.26/1.25 % (4024420)Instructions burned: 103 (million)
% 6.26/1.25 % (4024436)ott-21_1_sil=16000:fs=off:random_seed=3424382606:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.26/1.25 % (4024437)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3471852497:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.26/1.25 % (4024422)Instruction limit reached!
% 6.26/1.25 % (4024422)------------------------------
% 6.26/1.25 % (4024422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024422)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024422)Termination reason: Instruction limit
% 6.26/1.25 % (4024422)Termination phase: Saturation
% 6.26/1.25 % (4024422)Time elapsed: 0.132 s
% 6.26/1.25 % (4024422)Peak memory usage: 13 MB
% 6.26/1.25 % (4024422)Instructions burned: 131 (million)
% 6.26/1.25 % (4024435)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1519270905:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.26/1.25 % (4024440)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3786669753:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024443)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=229393184:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 6.26/1.25 % (4024433)Instruction limit reached!
% 6.26/1.25 % (4024433)------------------------------
% 6.26/1.25 % (4024433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024433)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024433)Termination reason: Instruction limit
% 6.26/1.25 % (4024433)Termination phase: Saturation
% 6.26/1.25 % (4024433)Time elapsed: 0.132 s
% 6.26/1.25 % (4024433)Peak memory usage: 13 MB
% 6.26/1.25 % (4024433)Instructions burned: 131 (million)
% 6.26/1.25 % (4024445)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3267937437:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024447)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1088953864:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 6.26/1.25 % (4024436)Instruction limit reached!
% 6.26/1.25 % (4024436)------------------------------
% 6.26/1.25 % (4024436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024436)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024436)Termination reason: Instruction limit
% 6.26/1.25 % (4024436)Termination phase: Saturation
% 6.26/1.25 % (4024436)Time elapsed: 0.158 s
% 6.26/1.25 % (4024436)Peak memory usage: 13 MB
% 6.26/1.25 % (4024436)Instructions burned: 180 (million)
% 6.26/1.25 % (4024449)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=907856116:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 6.26/1.25 % (4024437)Instruction limit reached!
% 6.26/1.25 % (4024437)------------------------------
% 6.26/1.25 % (4024437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024437)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024437)Termination reason: Instruction limit
% 6.26/1.25 % (4024437)Termination phase: Saturation
% 6.26/1.25 % (4024437)Time elapsed: 0.478 s
% 6.26/1.25 % (4024437)Peak memory usage: 14 MB
% 6.26/1.25 % (4024437)Instructions burned: 477 (million)
% 6.26/1.25 % (4024453)fmb+10_1_sil=64000:random_seed=3170293008:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.26/1.25 % (4024453)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024455)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1754677207:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024435)Instruction limit reached!
% 6.26/1.25 % (4024435)------------------------------
% 6.26/1.25 % (4024435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024435)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024435)Termination reason: Instruction limit
% 6.26/1.25 % (4024435)Termination phase: Saturation
% 6.26/1.25 % (4024435)Time elapsed: 0.587 s
% 6.26/1.25 % (4024435)Peak memory usage: 14 MB
% 6.26/1.25 % (4024435)Instructions burned: 684 (million)
% 6.26/1.25 % (4024459)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1317279673:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024462)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3560685809:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 6.26/1.25 % (4024461)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2752039386:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 6.26/1.25 % (4024462)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.26/1.25 % (4024447)Instruction limit reached!
% 6.26/1.25 % (4024447)------------------------------
% 6.26/1.25 % (4024447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.25 % (4024447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.25 % (4024447)CaDiCaL version: 2.1.3
% 6.26/1.25 % (4024447)Termination reason: Instruction limit
% 6.26/1.25 % (4024447)Termination phase: Saturation
% 6.26/1.25 % (4024447)Time elapsed: 0.572 s
% 6.26/1.25 % (4024447)Peak memory usage: 16 MB
% 6.26/1.25 % (4024447)Instructions burned: 693 (million)
% 6.26/1.25 % (4024465)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1688176473:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024467)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1524569923:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 6.26/1.25 % Exception at run slice level
% 6.26/1.25 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.26/1.25 % (4024461) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4024412-4024461"...
% 6.26/1.25 % (4024461)...printing done.
% 6.26/1.25 % (4024461)Refutation found. Thanks to Tanya!
% 6.26/1.25 % SZS status Theorem for theBenchmark
% 6.26/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.26 % (4024461)------------------------------
% 6.26/1.26 % (4024461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.26 % (4024461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.26 % (4024461)CaDiCaL version: 2.1.3
% 6.26/1.26 % (4024461)Termination reason: Refutation
% 6.26/1.26 % (4024461)Time elapsed: 0.143 s
% 6.26/1.26 % (4024461)Peak memory usage: 13 MB
% 6.26/1.26 % (4024461)Instructions burned: 138 (million)
% 6.26/1.26 % (4024412)Success in time 0.957 s
% 6.26/1.26 % Vampire exiting
%------------------------------------------------------------------------------