%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT203_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 : n026.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 12:37:46 PM UTC 2026
% Result : Theorem 12.05s 2.23s
% Output : Refutation 12.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-6 aty)
% Number of functors : 110 ( 110 usr; 14 con; 0-7 aty)
% Number of variables : 25 ( 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
arrow_159774573e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
arrow_1985332922le_Lin: fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool) ).
tff(func_def_1,type,
arrow_610318064e_Prof: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool) ).
tff(func_def_2,type,
arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_3,type,
arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_4,type,
arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_5,type,
arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_6,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).
tff(func_def_7,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(X1,fun(X0,X2))) ).
tff(func_def_8,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_9,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_10,type,
pi:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_11,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_12,type,
order_215145569der_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(product_prod(X0,X0),bool),bool) ) ).
tff(func_def_13,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_14,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_15,type,
conversep:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(X1,fun(X0,bool)) ) ).
tff(func_def_16,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_17,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X0,X1),X2) * X0 * X1 ) > X2 ) ).
tff(func_def_18,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_19,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_20,type,
converse:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > fun(product_prod(X1,X0),bool) ) ).
tff(func_def_21,type,
inv_image:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X1,X0) ) > fun(product_prod(X1,X1),bool) ) ).
tff(func_def_22,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_23,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_24,type,
fFalse: bool ).
tff(func_def_25,type,
fNot: fun(bool,bool) ).
tff(func_def_26,type,
fTrue: bool ).
tff(func_def_27,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_28,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_29,type,
f: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_30,type,
p: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_31,type,
p1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_32,type,
q: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_33,type,
a: arrow_411405190le_alt ).
tff(func_def_34,type,
a1: arrow_411405190le_alt ).
tff(func_def_35,type,
b: arrow_411405190le_alt ).
tff(func_def_36,type,
b1: arrow_411405190le_alt ).
tff(func_def_37,type,
sK0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_38,type,
sK1: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_39,type,
sK2: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_40,type,
sK3: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_41,type,
sK4: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > arrow_411405190le_alt ).
tff(func_def_42,type,
sK5: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > arrow_411405190le_alt ).
tff(func_def_43,type,
sK6: ( arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_44,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_45,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_46,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_47,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_48,type,
sK11:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_49,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_50,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_51,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_52,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_53,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_54,type,
sK17:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_55,type,
sK18:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_56,type,
sK19:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_57,type,
sK20:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_58,type,
sK21:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_59,type,
sK22:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_60,type,
sK23:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_61,type,
sK24:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_62,type,
sK25:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_63,type,
sK26:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X0 ) ).
tff(func_def_64,type,
sK27:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_65,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_66,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_67,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_68,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_69,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_70,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_71,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_72,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_73,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_74,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_75,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_76,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_77,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).
tff(func_def_78,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).
tff(func_def_79,type,
sK42:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_80,type,
sK43:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_81,type,
sK44:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_82,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_83,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_84,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_85,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_86,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_87,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_88,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_89,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_90,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_91,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_92,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_93,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_94,type,
sK57:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_95,type,
sK58:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_96,type,
sK59:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_97,type,
sK60:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_98,type,
sK61:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_99,type,
sK62:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_100,type,
sK63:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_101,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,bool)) ) > X0 ) ).
tff(func_def_102,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 * fun(X0,fun(X1,bool)) ) > X1 ) ).
tff(func_def_103,type,
sK66:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_104,type,
sK67:
!>[X0: $tType] : X0 ).
tff(func_def_105,type,
sK68:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_106,type,
sK69:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_107,type,
sK70:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(pred_def_1,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_3,type,
arrow_987702531ctator: ( fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).
tff(pred_def_4,type,
arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_5,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_6,type,
irrefl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_7,type,
total_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_8,type,
pp: bool > $o ).
tff(f2,axiom,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),q),arrow_610318064e_Prof)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096Q_A_058_AProf_096) ).
tff(f9,axiom,
pp(aa(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),f),pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_610318064e_Prof,combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),arrow_1985332922le_Lin)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_assms_I1_J) ).
tff(f38,axiom,
! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
( pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X5),pi(X0,X1,X4,combk(fun(X1,bool),X0,X3))))
=> ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X4))
=> pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X5,X2)),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_funcset__mem) ).
tff(f118,conjecture,
pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,q)),arrow_1985332922le_Lin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f119,negated_conjecture,
~ pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,q)),arrow_1985332922le_Lin)),
inference(negated_conjecture,[status(cth)],[f118]) ).
tff(f120,plain,
~ pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,q)),arrow_1985332922le_Lin)),
inference(flattening,[],[f119]) ).
tff(f151,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X5,X2)),X3))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X4))
| ~ pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X5),pi(X0,X1,X4,combk(fun(X1,bool),X0,X3)))) ),
inference(ennf_transformation,[],[f38]) ).
tff(f152,plain,
! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X5,X2)),X3))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X4))
| ~ pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X5),pi(X0,X1,X4,combk(fun(X1,bool),X0,X3)))) ),
inference(flattening,[],[f151]) ).
tff(f183,plain,
pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),q),arrow_610318064e_Prof)),
inference(cnf_transformation,[],[f2]) ).
tff(f190,plain,
pp(aa(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),f),pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_610318064e_Prof,combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),arrow_1985332922le_Lin)))),
inference(cnf_transformation,[],[f9]) ).
tff(f272,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
( pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),aa(X0,X1,X5,X2)),X3))
| ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X2),X4))
| ~ pp(aa(fun(fun(X0,X1),bool),bool,aa(fun(X0,X1),fun(fun(fun(X0,X1),bool),bool),member(fun(X0,X1)),X5),pi(X0,X1,X4,combk(fun(X1,bool),X0,X3)))) ),
inference(cnf_transformation,[],[f152]) ).
tff(f381,plain,
~ pp(aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),bool),member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,q)),arrow_1985332922le_Lin)),
inference(cnf_transformation,[],[f120]) ).
tff(f7171,plain,
! [X0: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool)] :
( ~ pp(aa(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),f),pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),arrow_1985332922le_Lin))))
| ~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),q),X0)) ),
inference(resolution,[],[f272,f381]) ).
tff(f24787,plain,
~ pp(aa(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool,aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool),bool),member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),q),arrow_610318064e_Prof)),
inference(resolution,[],[f7171,f190]) ).
tff(f24874,plain,
$false,
inference(forward_subsumption_resolution,[],[f24787,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT203_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 00:01:56 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.48 Running first-order model finding
% 0.17/0.48 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
% 12.05/2.23 % (3343955)Will run a generic schedule for satisfiability detection.
% 12.05/2.23 % (3343960)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=407203063_2999 on theBenchmark for (2999ds/0Mi)
% 12.05/2.23 % (3343961)% WARNING: option uhcvi not known.
% 12.05/2.23 % (3343962)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2255726494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.05/2.23 % (3343963)dis+10_1_sil=32000:sp=arity:random_seed=2267398658:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.05/2.23 % (3343961)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2256551319:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.05/2.23 % (3343964)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3958033057:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.05/2.23 % (3343965)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=675598643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.05/2.23 % (3343966)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1062349754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3343974)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=935253986:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3343976)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1456467623:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.05/2.23 % (3343963)Instruction limit reached!
% 12.05/2.23 % (3343963)------------------------------
% 12.05/2.23 % (3343963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343963)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343963)Termination reason: Instruction limit
% 12.05/2.23 % (3343963)Termination phase: Saturation
% 12.05/2.23 % (3343963)Time elapsed: 0.102 s
% 12.05/2.23 % (3343963)Peak memory usage: 12 MB
% 12.05/2.23 % (3343963)Instructions burned: 103 (million)
% 12.05/2.23 % (3343964)Instruction limit reached!
% 12.05/2.23 % (3343964)------------------------------
% 12.05/2.23 % (3343964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343964)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343964)Termination reason: Instruction limit
% 12.05/2.23 % (3343964)Termination phase: Saturation
% 12.05/2.23 % (3343964)Time elapsed: 0.105 s
% 12.05/2.23 % (3343964)Peak memory usage: 12 MB
% 12.05/2.23 % (3343964)Instructions burned: 116 (million)
% 12.05/2.23 % (3343976)Instruction limit reached!
% 12.05/2.23 % (3343976)------------------------------
% 12.05/2.23 % (3343976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343976)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343976)Termination reason: Instruction limit
% 12.05/2.23 % (3343976)Termination phase: Saturation
% 12.05/2.23 % (3343976)Time elapsed: 0.064 s
% 12.05/2.23 % (3343976)Peak memory usage: 13 MB
% 12.05/2.23 % (3343976)Instructions burned: 131 (million)
% 12.05/2.23 % (3343965)Instruction limit reached!
% 12.05/2.23 % (3343965)------------------------------
% 12.05/2.23 % (3343965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343965)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343965)Termination reason: Instruction limit
% 12.05/2.23 % (3343965)Termination phase: Saturation
% 12.05/2.23 % (3343965)Time elapsed: 0.123 s
% 12.05/2.23 % (3343965)Peak memory usage: 12 MB
% 12.05/2.23 % (3343965)Instructions burned: 132 (million)
% 12.05/2.23 % (3343982)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4219939418:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.05/2.23 % (3343981)ott-21_1_sil=16000:fs=off:random_seed=713034426:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.05/2.23 % (3343980)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=3639914186:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.05/2.23 % (3343983)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1057856112:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 12.05/2.23 % (3343966)Instruction limit reached!
% 12.05/2.23 % (3343966)------------------------------
% 12.05/2.23 % (3343966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343966)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343966)Termination reason: Instruction limit
% 12.05/2.23 % (3343966)Termination phase: Saturation
% 12.05/2.23 % (3343966)Time elapsed: 0.156 s
% 12.05/2.23 % (3343966)Peak memory usage: 12 MB
% 12.05/2.23 % (3343966)Instructions burned: 159 (million)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3343988)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2694220459:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.05/2.23 % (3343989)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4198192083:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3343992)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=2785566701: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)
% 12.05/2.23 % (3343981)Instruction limit reached!
% 12.05/2.23 % (3343981)------------------------------
% 12.05/2.23 % (3343981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343981)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343981)Termination reason: Instruction limit
% 12.05/2.23 % (3343981)Termination phase: Saturation
% 12.05/2.23 % (3343981)Time elapsed: 0.143 s
% 12.05/2.23 % (3343981)Peak memory usage: 12 MB
% 12.05/2.23 % (3343981)Instructions burned: 181 (million)
% 12.05/2.23 % (3343995)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=929285121:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 12.05/2.23 % (3343982)Instruction limit reached!
% 12.05/2.23 % (3343982)------------------------------
% 12.05/2.23 % (3343982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343982)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343982)Termination reason: Instruction limit
% 12.05/2.23 % (3343982)Termination phase: Saturation
% 12.05/2.23 % (3343982)Time elapsed: 0.247 s
% 12.05/2.23 % (3343982)Peak memory usage: 13 MB
% 12.05/2.23 % (3343982)Instructions burned: 477 (million)
% 12.05/2.23 % (3343997)fmb+10_1_sil=64000:random_seed=1475666717:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 12.05/2.23 % (3343997)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344000)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=8384035:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344002)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2465647616:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344004)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=923985577:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 12.05/2.23 % (3343980)Instruction limit reached!
% 12.05/2.23 % (3343980)------------------------------
% 12.05/2.23 % (3343980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343980)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343980)Termination reason: Instruction limit
% 12.05/2.23 % (3343980)Termination phase: Saturation
% 12.05/2.23 % (3343980)Time elapsed: 0.567 s
% 12.05/2.23 % (3343980)Peak memory usage: 15 MB
% 12.05/2.23 % (3343980)Instructions burned: 685 (million)
% 12.05/2.23 % (3344007)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2372734850:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 12.05/2.23 % (3344007)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.05/2.23 % (3343992)Instruction limit reached!
% 12.05/2.23 % (3343992)------------------------------
% 12.05/2.23 % (3343992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343992)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343992)Termination reason: Instruction limit
% 12.05/2.23 % (3343992)Termination phase: Saturation
% 12.05/2.23 % (3343992)Time elapsed: 0.673 s
% 12.05/2.23 % (3343992)Peak memory usage: 15 MB
% 12.05/2.23 % (3343992)Instructions burned: 693 (million)
% 12.05/2.23 % (3344012)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=929901511:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344014)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1412660744:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344016)ott-2_1_sil=16000:newcnf=on:random_seed=3164705547:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 12.05/2.23 % (3343995)Instruction limit reached!
% 12.05/2.23 % (3343995)------------------------------
% 12.05/2.23 % (3343995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343995)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343995)Termination reason: Instruction limit
% 12.05/2.23 % (3343995)Termination phase: Saturation
% 12.05/2.23 % (3343995)Time elapsed: 0.772 s
% 12.05/2.23 % (3343995)Peak memory usage: 18 MB
% 12.05/2.23 % (3343995)Instructions burned: 879 (million)
% 12.05/2.23 % (3344019)ott+10_1_sil=32000:tgt=ground:random_seed=1930509446:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 12.05/2.23 % (3343988)Instruction limit reached!
% 12.05/2.23 % (3343988)------------------------------
% 12.05/2.23 % (3343988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3343988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3343988)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3343988)Termination reason: Instruction limit
% 12.05/2.23 % (3343988)Termination phase: Saturation
% 12.05/2.23 % (3343988)Time elapsed: 1.028 s
% 12.05/2.23 % (3343988)Peak memory usage: 15 MB
% 12.05/2.23 % (3343988)Instructions burned: 1179 (million)
% 12.05/2.23 % (3344021)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4179919652:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 12.05/2.23 % Exception at run slice level
% 12.05/2.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.05/2.23 % (3344023)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3131581024:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 12.05/2.23 % (3344004) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3343955-3344004"...
% 12.05/2.23 % (3344004)...printing done.
% 12.05/2.23 % (3344004)Refutation found. Thanks to Tanya!
% 12.05/2.23 % SZS status Theorem for theBenchmark
% 12.05/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 12.05/2.23 % (3344004)------------------------------
% 12.05/2.23 % (3344004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.23 % (3344004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.23 % (3344004)CaDiCaL version: 2.1.3
% 12.05/2.23 % (3344004)Termination reason: Refutation
% 12.05/2.23 % (3344004)Time elapsed: 1.191 s
% 12.05/2.23 % (3344004)Peak memory usage: 19 MB
% 12.05/2.23 % (3344004)Instructions burned: 2634 (million)
% 12.05/2.23 % (3343955)Success in time 1.736 s
% 12.05/2.23 % Vampire exiting
%------------------------------------------------------------------------------