%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT248_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:37:19 PM UTC 2026
% Result : Theorem 166.53s 24.39s
% Output : Refutation 167.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 61 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 39 ~; 21 |; 0 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-5 aty)
% Number of functors : 93 ( 93 usr; 13 con; 0-7 aty)
% Number of variables : 161 ( 158 !; 3 ?; 161 :)
% 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,
int: $tType ).
tff(type_def_9,type,
nat: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_11,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,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_5,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_6,type,
combi:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_7,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_8,type,
pi:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).
tff(func_def_9,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_10,type,
if:
!>[X0: $tType] : fun(bool,fun(X0,fun(X0,X0))) ).
tff(func_def_11,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_12,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_13,type,
ord_less:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_14,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_15,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_16,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_17,type,
fFalse: bool ).
tff(func_def_18,type,
fTrue: bool ).
tff(func_def_19,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_20,type,
lab: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_21,type,
lba: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_22,type,
a: arrow_411405190le_alt ).
tff(func_def_23,type,
b: arrow_411405190le_alt ).
tff(func_def_24,type,
h: fun(arrow_159774573e_indi,nat) ).
tff(func_def_25,type,
sK2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_26,type,
sK3: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_27,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_28,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_29,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_30,type,
sK7: ( 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_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_31,type,
sK8: ( 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_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_32,type,
sK9: ( 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_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_33,type,
sK10: ( 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_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).
tff(func_def_34,type,
sK11: ( 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_35,type,
sK12: ( 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_36,type,
sK13: ( 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_37,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_38,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_39,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_40,type,
sK17: ( arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_41,type,
sK18: ( 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_42,type,
sK19: ( 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,
sK20: ( 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_44,type,
sK21: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_45,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_46,type,
sK23:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_47,type,
sK24:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_48,type,
sK25:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).
tff(func_def_49,type,
sK26:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).
tff(func_def_50,type,
sK27:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).
tff(func_def_51,type,
sK28:
!>[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_52,type,
sK29:
!>[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_53,type,
sK30:
!>[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_54,type,
sK31:
!>[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_55,type,
sK32:
!>[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_56,type,
sK33:
!>[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_57,type,
sK34:
!>[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_58,type,
sK35:
!>[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_59,type,
sK36:
!>[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_60,type,
sK37:
!>[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_61,type,
sK38:
!>[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_62,type,
sK39:
!>[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_63,type,
sK40:
!>[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_64,type,
sK41:
!>[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_65,type,
sK42:
!>[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_66,type,
sK43:
!>[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_67,type,
sK44:
!>[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_68,type,
sK45:
!>[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_69,type,
sK46:
!>[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_70,type,
sK47:
!>[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_71,type,
sK48:
!>[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_72,type,
sK49:
!>[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_73,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_74,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_75,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_76,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_77,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_78,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_79,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_80,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_81,type,
sK58:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_82,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_83,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_84,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_85,type,
sK62:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_86,type,
sK63:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_87,type,
sK64:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_88,type,
sK65:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_89,type,
sK66:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_90,type,
sK67: int > nat ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_8,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_9,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_10,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_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(pred_def_13,type,
sP0: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_14,type,
sP1: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(f1,axiom,
arrow_2069624013nimity(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_u) ).
tff(f8,axiom,
member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),lba),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
tff(f11,axiom,
! [X0: nat] : 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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),X0)),lab),lba)),arrow_1985332922le_Lin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__C0_C) ).
tff(f14,axiom,
! [X0: nat] : member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),X0)),lab),lba),arrow_610318064e_Prof),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_PiProf) ).
tff(f38,axiom,
! [X0: nat] : ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),zero_zero(nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_not__less0) ).
tff(f39,axiom,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,arrow_1985332922le_Lin)
=> ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X1,X0),X2)
=> ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X0,X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_Lin__irrefl) ).
tff(f42,axiom,
! [X0: 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_2069624013nimity(X0)
<=> ! [X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
=> ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ! [X4: arrow_159774573e_indi] : member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4))
=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),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),X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_unanimity__def) ).
tff(f47,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2,X4: X0,X5: fun(X0,fun(X2,X1))] : ( product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_prod_Orecs) ).
tff(f80,axiom,
! [X0: $tType,X1: $tType,X2: product_prod(X0,X1)] :
~ ! [X3: X0,X4: X1] : ( X2 != product_Pair(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_PairE) ).
tff(f112,axiom,
! [X0: $tType,X1: X0,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),aa(bool,fun(X0,fun(X0,X0)),if(X0),fFalse),X2),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_T) ).
tff(f113,axiom,
! [X0: bool] :
( ( X0 = fTrue )
| ( X0 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T) ).
tff(f115,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
tff(f116,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X1,X0)] : ( aa(X2,X0,combb(X1,X0,X2,X5,X4),X3) = aa(X1,X0,X5,aa(X2,X1,X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_U) ).
tff(f117,axiom,
! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
tff(f120,conjecture,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f121,negated_conjecture,
~ ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba))),
inference(negated_conjecture,[status(cth)],[f120]) ).
tff(f122,plain,
member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba))),
inference(flattening,[],[f121]) ).
tff(f123,plain,
! [X0: 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_2069624013nimity(X0)
=> ! [X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
=> ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ! [X4: arrow_159774573e_indi] : member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4))
=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),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),X0,X1)) ) ) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
tff(f149,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X0,X1),X2)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X1,X0),X2)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,arrow_1985332922le_Lin) ),
inference(ennf_transformation,[],[f39]) ).
tff(f150,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X0,X1),X2)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X1,X0),X2)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,arrow_1985332922le_Lin) ),
inference(flattening,[],[f149]) ).
tff(f154,plain,
! [X0: 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))] :
( ! [X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),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),X0,X1))
| ? [X4: arrow_159774573e_indi] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,X4)) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof) )
| ~ arrow_2069624013nimity(X0) ),
inference(ennf_transformation,[],[f123]) ).
tff(f193,plain,
! [X0: $tType,X1: $tType,X2: product_prod(X0,X1)] :
? [X3: X0,X4: X1] : ( product_Pair(X0,X1,X3,X4) = X2 ),
inference(ennf_transformation,[],[f80]) ).
tff(f232,plain,
! [X0: 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))] :
( ! [X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),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),X0,X1))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK13(X1,X2,X3))) )
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof) )
| ~ arrow_2069624013nimity(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X1,X2,X3))],[f154]) ).
tff(f271,plain,
! [X0: $tType,X1: $tType,X2: product_prod(X0,X1)] : ( product_Pair(X0,X1,sK65(X0,X1,X2),sK66(X0,X1,X2)) = X2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66]),skolemize(X3,sK65(X0,X1,X2)),skolemize(X4,sK66(X0,X1,X2))],[f193]) ).
tff(f284,plain,
arrow_2069624013nimity(f),
inference(cnf_transformation,[],[f1]) ).
tff(f291,plain,
member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),lba),
inference(cnf_transformation,[],[f8]) ).
tff(f294,plain,
! [X0: nat] : 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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),X0)),lab),lba)),arrow_1985332922le_Lin),
inference(cnf_transformation,[],[f11]) ).
tff(f299,plain,
! [X0: nat] : member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),X0)),lab),lba),arrow_610318064e_Prof),
inference(cnf_transformation,[],[f14]) ).
tff(f351,plain,
! [X0: nat] : ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),X0),zero_zero(nat))),
inference(cnf_transformation,[],[f38]) ).
tff(f352,plain,
! [X2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X1,X0),X2)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X0,X1),X2)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X2,arrow_1985332922le_Lin) ),
inference(cnf_transformation,[],[f150]) ).
tff(f359,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: 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)),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK13(X1,X2,X3)))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,X2,X3),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),X0,X1))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ~ arrow_2069624013nimity(X0) ),
inference(cnf_transformation,[],[f232]) ).
tff(f392,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X2,X4: X0,X5: fun(X0,fun(X2,X1))] : ( product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X4),X3) ),
inference(cnf_transformation,[],[f47]) ).
tff(f442,plain,
! [X1: $tType,X0: $tType,X2: product_prod(X0,X1)] : ( product_Pair(X0,X1,sK65(X0,X1,X2),sK66(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f271]) ).
tff(f487,plain,
! [X0: $tType,X2: X0,X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),aa(bool,fun(X0,fun(X0,X0)),if(X0),fFalse),X2),X1) = X1 ),
inference(cnf_transformation,[],[f112]) ).
tff(f488,plain,
! [X0: bool] :
( ( fTrue = X0 )
| ( fFalse = X0 ) ),
inference(cnf_transformation,[],[f113]) ).
tff(f490,plain,
pp(fTrue),
inference(cnf_transformation,[],[f115]) ).
tff(f491,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X2,X4: fun(X2,X1),X5: fun(X1,X0)] : ( aa(X2,X0,combb(X1,X0,X2,X5,X4),X3) = aa(X1,X0,X5,aa(X2,X1,X4,X3)) ),
inference(cnf_transformation,[],[f116]) ).
tff(f492,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
inference(cnf_transformation,[],[f117]) ).
tff(f495,plain,
member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba))),
inference(cnf_transformation,[],[f122]) ).
tff(f537,plain,
! [X0: $tType,X2: X0,X1: X0] : ( aa(X0,X0,combc(X0,X0,X0,aa(bool,fun(X0,fun(X0,X0)),if(X0),fFalse),X1),X2) = X1 ),
inference(forward_demodulation,[],[f487,f492]) ).
tff(f563,plain,
! [X0: nat] : ~ pp(aa(nat,bool,combc(nat,nat,bool,ord_less(nat),zero_zero(nat)),X0)),
inference(forward_demodulation,[],[f351,f492]) ).
tff(f603,plain,
! [X0: bool] :
( pp(X0)
| ( fFalse = X0 ) ),
inference(superposition,[],[f490,f488]) ).
tff(f860,plain,
! [X0: nat] : ( fFalse = aa(nat,bool,combc(nat,nat,bool,ord_less(nat),zero_zero(nat)),X0) ),
inference(unit_resulting_resolution,[],[f603,f563]) ).
tff(f1226,plain,
! [X4: $tType,X1: $tType,X0: $tType,X2: $tType,X3: fun(X0,fun(X1,X2)),X6: X4,X7: X1,X5: fun(X4,X0)] : ( product_prod_rec(X4,X1,X2,combb(X0,fun(X1,X2),X4,X3,X5),product_Pair(X4,X1,X6,X7)) = aa(X1,X2,aa(X0,fun(X1,X2),X3,aa(X4,X0,X5,X6)),X7) ),
inference(superposition,[],[f392,f491]) ).
tff(f1266,plain,
! [X4: $tType,X1: $tType,X0: $tType,X2: $tType,X3: fun(X0,fun(X1,X2)),X6: X4,X7: X1,X5: fun(X4,X0)] : ( aa(X1,X2,aa(X0,fun(X1,X2),X3,aa(X4,X0,X5,X6)),X7) = aa(X4,X2,combc(X4,X1,X2,combb(X0,fun(X1,X2),X4,X3,X5),X7),X6) ),
inference(superposition,[],[f492,f491]) ).
tff(f1270,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X6: X1,X7: X2,X4: fun(X0,fun(X1,fun(X2,X3))),X5: X0] : ( aa(X2,X3,product_prod_rec(X0,X1,fun(X2,X3),X4,product_Pair(X0,X1,X5,X6)),X7) = aa(X1,X3,combc(X1,X2,X3,aa(X0,fun(X1,fun(X2,X3)),X4,X5),X7),X6) ),
inference(superposition,[],[f492,f392]) ).
tff(f1283,plain,
! [X1: $tType,X0: $tType,X2: $tType,X3: fun(X0,fun(X2,X1)),X4: X2,X5: X0] : ( aa(X0,X1,combc(X0,X2,X1,X3,X4),X5) = product_prod_rec(X0,X2,X1,X3,product_Pair(X0,X2,X5,X4)) ),
inference(superposition,[],[f392,f492]) ).
tff(f3097,plain,
! [X2: 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)),X0: product_prod(arrow_411405190le_alt,arrow_411405190le_alt),X1: fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),X0,aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X1,sK13(X1,sK65(arrow_411405190le_alt,arrow_411405190le_alt,X0),sK66(arrow_411405190le_alt,arrow_411405190le_alt,X0))))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),X0,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),X2,X1))
| ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),X1,arrow_610318064e_Prof)
| ~ arrow_2069624013nimity(X2) ),
inference(superposition,[],[f359,f442]) ).
tff(f3309,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),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,combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba))),
inference(unit_resulting_resolution,[],[f352,f495,f294]) ).
tff(f31336,plain,
! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X6: X1,X7: X2,X4: fun(X0,fun(X1,fun(X2,X3))),X5: X0] : ( aa(X2,X3,product_prod_rec(X0,X1,fun(X2,X3),X4,product_Pair(X0,X1,X5,X6)),X7) = aa(X0,X3,combc(X0,X2,X3,combc(X0,X1,fun(X2,X3),X4,X6),X7),X5) ),
inference(superposition,[],[f492,f1283]) ).
tff(f94071,plain,
! [X4: $tType,X1: $tType,X0: $tType,X3: $tType,X2: $tType,X8: X1,X6: fun(X0,X4),X9: X2,X7: X0,X5: fun(X4,fun(X1,fun(X2,X3)))] : ( aa(X2,X3,product_prod_rec(X0,X1,fun(X2,X3),combb(X4,fun(X1,fun(X2,X3)),X0,X5,X6),product_Pair(X0,X1,X7,X8)),X9) = aa(X1,X3,combc(X1,X2,X3,aa(X4,fun(X1,fun(X2,X3)),X5,aa(X0,X4,X6,X7)),X9),X8) ),
inference(superposition,[],[f492,f1226]) ).
tff(f111611,plain,
! [X0: $tType,X2: X0,X1: X0] : ( aa(X0,X0,product_prod_rec(bool,X0,fun(X0,X0),if(X0),product_Pair(bool,X0,fFalse,X1)),X2) = X2 ),
inference(superposition,[],[f537,f1270]) ).
tff(f200604,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a))))),
inference(unit_resulting_resolution,[],[f3097,f284,f299,f3309]) ).
tff(f200648,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),product_prod_rec(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),product_Pair(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a))),lab)),lba)),
inference(forward_demodulation,[],[f200604,f31336]) ).
tff(f200651,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(arrow_159774573e_indi,bool,combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat)),sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a))))),lba),lab)),
inference(forward_demodulation,[],[f200648,f94071]) ).
tff(f200652,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),product_prod_rec(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),product_Pair(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(arrow_159774573e_indi,bool,combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat)),sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)))),lab)),lba)),
inference(forward_demodulation,[],[f200651,f1270]) ).
tff(f200653,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),product_prod_rec(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),product_Pair(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),aa(arrow_159774573e_indi,nat,h,sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a))))),zero_zero(nat)),lab)),lba)),
inference(forward_demodulation,[],[f200652,f1266]) ).
tff(f200654,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),product_prod_rec(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),product_Pair(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(nat,bool,combc(nat,nat,bool,ord_less(nat),zero_zero(nat)),aa(arrow_159774573e_indi,nat,h,sK13(combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),combc(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combb(bool,fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_159774573e_indi,if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combc(arrow_159774573e_indi,nat,bool,combb(nat,fun(nat,bool),arrow_159774573e_indi,ord_less(nat),h),zero_zero(nat))),lab),lba),sK65(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a)),sK66(arrow_411405190le_alt,arrow_411405190le_alt,product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a))))),lab)),lba)),
inference(forward_demodulation,[],[f200653,f492]) ).
tff(f201184,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),product_prod_rec(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),if(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),product_Pair(bool,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fFalse,lab)),lba)),
inference(forward_demodulation,[],[f200654,f860]) ).
tff(f201237,plain,
~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),lba),
inference(forward_demodulation,[],[f201184,f111611]) ).
tff(f201262,plain,
$false,
inference(forward_subsumption_resolution,[],[f201237,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT248_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:01:25 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.64/1.91 % (3466335)Detected formulas, will run a generic FOF schedule.
% 6.64/1.91 % (3466342)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1265206438:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.64/1.91 % (3466342)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.64/1.91 % (3466341)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1918081400:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.64/1.91 % (3466340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3070736032:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.64/1.91 % (3466345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1554287776:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.64/1.91 % (3466344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=819967612:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.64/1.91 % (3466343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2710414617:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.64/1.91 % (3466343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.64/1.91 % (3466343)Refutation not found, incomplete strategy
% 6.64/1.91 % (3466343)------------------------------
% 6.64/1.91 % (3466343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.91 % (3466343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.91 % (3466343)CaDiCaL version: 2.1.3
% 6.64/1.91 % (3466343)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.91 % (3466343)Time elapsed: 0.018 s
% 6.64/1.91 % (3466343)Peak memory usage: 89 MB
% 6.64/1.91 % (3466343)Instructions burned: 33 (million)
% 6.64/1.91 % (3466346)dis-21_1_sil=8000:lcm=predicate:random_seed=776491546:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.64/1.91 % (3466344)Instruction limit reached!
% 6.64/1.91 % (3466344)------------------------------
% 6.64/1.91 % (3466344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.91 % (3466344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.91 % (3466344)CaDiCaL version: 2.1.3
% 6.64/1.91 % (3466344)Termination reason: Instruction limit
% 6.64/1.91 % (3466344)Termination phase: Saturation
% 6.64/1.91 % (3466344)Time elapsed: 0.074 s
% 6.64/1.91 % (3466344)Peak memory usage: 89 MB
% 6.64/1.91 % (3466344)Instructions burned: 119 (million)
% 6.64/1.91 % (3466345)Instruction limit reached!
% 6.64/1.91 % (3466345)------------------------------
% 6.64/1.91 % (3466345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.91 % (3466345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.91 % (3466345)CaDiCaL version: 2.1.3
% 6.64/1.91 % (3466345)Termination reason: Instruction limit
% 6.64/1.91 % (3466345)Termination phase: Saturation
% 6.64/1.91 % (3466345)Time elapsed: 0.092 s
% 6.64/1.91 % (3466345)Peak memory usage: 89 MB
% 6.64/1.91 % (3466345)Instructions burned: 140 (million)
% 6.64/1.91 % (3466346)Instruction limit reached!
% 6.64/1.91 % (3466346)------------------------------
% 6.64/1.91 % (3466346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.91 % (3466346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.91 % (3466346)CaDiCaL version: 2.1.3
% 6.64/1.91 % (3466346)Termination reason: Instruction limit
% 6.64/1.91 % (3466346)Termination phase: Saturation
% 6.64/1.91 % (3466346)Time elapsed: 0.068 s
% 6.64/1.91 % (3466346)Peak memory usage: 89 MB
% 6.64/1.91 % (3466346)Instructions burned: 131 (million)
% 6.64/1.91 % Exception at run slice level
% 6.64/1.91 User error: GNN currently only supports monomorphic FOL.
% 6.64/1.91 % (3466354)lrs+10_1_sil=8000:sp=occurrence:random_seed=4129658502:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.64/1.91 % (3466356)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2008928362:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.64/1.91 % (3466355)lrs+10_1_sil=32000:urr=on:br=off:random_seed=366658753:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.35/2.24 % (3466343)------------------------------
% 9.35/2.24 % (3466343)------------------------------
% 9.35/2.24 % (3466357)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2454167795:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.35/2.24 % (3466355)Instruction limit reached!
% 9.35/2.24 % (3466355)------------------------------
% 9.35/2.24 % (3466355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466355)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466355)Termination reason: Instruction limit
% 9.35/2.24 % (3466355)Termination phase: Saturation
% 9.35/2.24 % (3466355)Time elapsed: 0.096 s
% 9.35/2.24 % (3466355)Peak memory usage: 90 MB
% 9.35/2.24 % (3466355)Instructions burned: 158 (million)
% 9.35/2.24 % (3466357)Instruction limit reached!
% 9.35/2.24 % (3466357)------------------------------
% 9.35/2.24 % (3466357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466357)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466357)Termination reason: Instruction limit
% 9.35/2.24 % (3466357)Termination phase: Saturation
% 9.35/2.24 % (3466357)Time elapsed: 0.075 s
% 9.35/2.24 % (3466357)Peak memory usage: 90 MB
% 9.35/2.24 % (3466357)Instructions burned: 251 (million)
% 9.35/2.24 % Exception at run slice level
% 9.35/2.24 User error: GNN currently only supports monomorphic FOL.
% 9.35/2.24 % Exception at run slice level
% 9.35/2.24 User error: GNN currently only supports monomorphic FOL.
% 9.35/2.24 % (3466354)Instruction limit reached!
% 9.35/2.24 % (3466354)------------------------------
% 9.35/2.24 % (3466354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466354)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466354)Termination reason: Instruction limit
% 9.35/2.24 % (3466354)Termination phase: Saturation
% 9.35/2.24 % (3466354)Time elapsed: 0.164 s
% 9.35/2.24 % (3466354)Peak memory usage: 90 MB
% 9.35/2.24 % (3466354)Instructions burned: 287 (million)
% 9.35/2.24 % (3466361)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=761639162:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.35/2.24 % (3466356)Instruction limit reached!
% 9.35/2.24 % (3466356)------------------------------
% 9.35/2.24 % (3466356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466356)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466356)Termination reason: Instruction limit
% 9.35/2.24 % (3466356)Termination phase: Saturation
% 9.35/2.24 % (3466356)Time elapsed: 0.196 s
% 9.35/2.24 % (3466356)Peak memory usage: 93 MB
% 9.35/2.24 % (3466356)Instructions burned: 326 (million)
% 9.35/2.24 % (3466364)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=427807025:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.35/2.24 % (3466361)Refutation not found, incomplete strategy
% 9.35/2.24 % (3466361)------------------------------
% 9.35/2.24 % (3466361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466361)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466361)Termination reason: Refutation not found, incomplete strategy
% 9.35/2.24 % (3466361)Time elapsed: 0.033 s
% 9.35/2.24 % (3466361)Peak memory usage: 89 MB
% 9.35/2.24 % (3466361)Instructions burned: 64 (million)
% 9.35/2.24 % (3466363)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=155302609:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.35/2.24 % (3466364)Instruction limit reached!
% 9.35/2.24 % (3466364)------------------------------
% 9.35/2.24 % (3466364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3466364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3466364)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3466364)Termination reason: Instruction limit
% 9.35/2.24 % (3466364)Termination phase: Saturation
% 9.35/2.24 % (3466364)Time elapsed: 0.035 s
% 9.35/2.24 % (3466364)Peak memory usage: 89 MB
% 9.35/2.24 % (3466364)Instructions burned: 115 (million)
% 10.43/2.53 % (3466366)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=755045853:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 10.43/2.53 % (3466365)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2613694671:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.43/2.53 % (3466367)lrs+10_1_sil=8000:sp=occurrence:random_seed=1765504572:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 10.43/2.53 % (3466365)Instruction limit reached!
% 10.43/2.53 % (3466365)------------------------------
% 10.43/2.53 % (3466365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.53 % (3466365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.53 % (3466365)CaDiCaL version: 2.1.3
% 10.43/2.53 % (3466365)Termination reason: Instruction limit
% 10.43/2.53 % (3466365)Termination phase: Saturation
% 10.43/2.53 % (3466365)Time elapsed: 0.060 s
% 10.43/2.53 % (3466365)Peak memory usage: 88 MB
% 10.43/2.53 % (3466365)Instructions burned: 127 (million)
% 10.43/2.53 % (3466366)Instruction limit reached!
% 10.43/2.53 % (3466366)------------------------------
% 10.43/2.53 % (3466366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.53 % (3466366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.53 % (3466366)CaDiCaL version: 2.1.3
% 10.43/2.53 % (3466366)Termination reason: Instruction limit
% 10.43/2.53 % (3466366)Termination phase: Saturation
% 10.43/2.53 % (3466366)Time elapsed: 0.060 s
% 10.43/2.53 % (3466366)Peak memory usage: 89 MB
% 10.43/2.53 % (3466366)Instructions burned: 117 (million)
% 10.43/2.53 % (3466369)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2089477709:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 10.43/2.53 % (3466372)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=760051693:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 10.43/2.53 % (3466361)------------------------------
% 10.43/2.53 % (3466361)------------------------------
% 10.43/2.53 % (3466377)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1905765850:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 10.43/2.53 % (3466376)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4235401461:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 10.43/2.53 % (3466377)Refutation not found, incomplete strategy
% 10.43/2.53 % (3466377)------------------------------
% 10.43/2.53 % (3466377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.53 % (3466377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.53 % (3466377)CaDiCaL version: 2.1.3
% 10.43/2.53 % (3466377)Termination reason: Refutation not found, incomplete strategy
% 10.43/2.53 % (3466377)Time elapsed: 0.025 s
% 10.43/2.53 % (3466377)Peak memory usage: 89 MB
% 10.43/2.53 % (3466377)Instructions burned: 49 (million)
% 10.43/2.53 % Exception at run slice level
% 10.43/2.53 User error: GNN currently only supports monomorphic FOL.
% 10.43/2.53 % (3466369)Instruction limit reached!
% 10.43/2.53 % (3466369)------------------------------
% 10.43/2.53 % (3466369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.53 % (3466369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.53 % (3466369)CaDiCaL version: 2.1.3
% 10.43/2.53 % (3466369)Termination reason: Instruction limit
% 10.43/2.53 % (3466369)Termination phase: Saturation
% 10.43/2.53 % (3466369)Time elapsed: 0.231 s
% 10.43/2.53 % (3466369)Peak memory usage: 90 MB
% 10.43/2.53 % (3466369)Instructions burned: 438 (million)
% 10.43/2.53 % (3466376)Instruction limit reached!
% 10.43/2.53 % (3466376)------------------------------
% 10.43/2.53 % (3466376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.53 % (3466376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.53 % (3466376)CaDiCaL version: 2.1.3
% 10.43/2.53 % (3466376)Termination reason: Instruction limit
% 10.43/2.53 % (3466376)Termination phase: Saturation
% 10.43/2.53 % (3466376)Time elapsed: 0.078 s
% 10.43/2.53 % (3466376)Peak memory usage: 90 MB
% 10.43/2.53 % (3466376)Instructions burned: 135 (million)
% 10.43/2.53 % Exception at run slice level
% 10.43/2.53 User error: GNN currently only supports monomorphic FOL.
% 10.43/2.53 % (3466380)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1766333493:st=3:i=13193:sd=3:ss=axioms_2991 on theBenchmark for (2991ds/13193Mi)
% 17.96/3.51 % (3466383)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1692903213:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/125Mi)
% 17.96/3.51 % (3466383)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.96/3.51 % (3466384)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1788728453:i=134:gtgl=5:slsql=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/134Mi)
% 17.96/3.51 % (3466383)Instruction limit reached!
% 17.96/3.51 % (3466383)------------------------------
% 17.96/3.51 % (3466383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.96/3.51 % (3466383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.96/3.51 % (3466383)CaDiCaL version: 2.1.3
% 17.96/3.51 % (3466383)Termination reason: Instruction limit
% 17.96/3.51 % (3466383)Termination phase: Saturation
% 17.96/3.51 % (3466383)Time elapsed: 0.038 s
% 17.96/3.51 % (3466383)Peak memory usage: 90 MB
% 17.96/3.51 % (3466383)Instructions burned: 126 (million)
% 17.96/3.51 % Exception at run slice level
% 17.96/3.51 User error: Immediate (shared) subterms of term/literal product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = sF78(X0,X2,X1,X5,X4,X3) have different types/not well-typed!
% 17.96/3.51 % (3466385)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2181334834:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/141Mi)
% 17.96/3.51 % (3466386)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3919194646:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/431Mi)
% 17.96/3.51 % (3466385)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.96/3.51 % (3466385)Refutation not found, incomplete strategy
% 17.96/3.51 % (3466385)------------------------------
% 17.96/3.51 % (3466385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.96/3.51 % (3466385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.96/3.51 % (3466385)CaDiCaL version: 2.1.3
% 17.96/3.51 % (3466385)Termination reason: Refutation not found, incomplete strategy
% 17.96/3.51 % (3466385)Time elapsed: 0.011 s
% 17.96/3.51 % (3466385)Peak memory usage: 88 MB
% 17.96/3.51 % (3466385)Instructions burned: 20 (million)
% 17.96/3.51 % (3466377)------------------------------
% 17.96/3.51 % (3466377)------------------------------
% 17.96/3.51 % (3466367)Instruction limit reached!
% 17.96/3.51 % (3466367)------------------------------
% 17.96/3.51 % (3466367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.96/3.51 % (3466367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.96/3.51 % (3466367)CaDiCaL version: 2.1.3
% 17.96/3.51 % (3466367)Termination reason: Instruction limit
% 17.96/3.51 % (3466367)Termination phase: Saturation
% 17.96/3.51 % (3466367)Time elapsed: 0.507 s
% 17.96/3.51 % (3466367)Peak memory usage: 94 MB
% 17.96/3.51 % (3466367)Instructions burned: 907 (million)
% 17.96/3.51 % (3466390)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1228200750:i=6060:aac=none:ins=25_2988 on theBenchmark for (2988ds/6060Mi)
% 17.96/3.51 % (3466391)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3006041091:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2988 on theBenchmark for (2988ds/150Mi)
% 17.96/3.51 % (3466391)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.96/3.51 % (3466394)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=123186209:i=14155:bd=all_2988 on theBenchmark for (2988ds/14155Mi)
% 17.96/3.51 % (3466395)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=253444781:i=667:av=off:fsr=off_2987 on theBenchmark for (2987ds/667Mi)
% 17.96/3.51 % (3466395)Refutation not found, incomplete strategy
% 17.96/3.51 % (3466395)------------------------------
% 17.96/3.51 % (3466395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.96/3.51 % (3466395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466395)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466395)Termination reason: Refutation not found, incomplete strategy
% 23.22/4.29 % (3466395)Time elapsed: 0.015 s
% 23.22/4.29 % (3466395)Peak memory usage: 89 MB
% 23.22/4.29 % (3466395)Instructions burned: 30 (million)
% 23.22/4.29 % (3466391)Instruction limit reached!
% 23.22/4.29 % (3466391)------------------------------
% 23.22/4.29 % (3466391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.22/4.29 % (3466391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466391)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466391)Termination reason: Instruction limit
% 23.22/4.29 % (3466391)Termination phase: Saturation
% 23.22/4.29 % (3466391)Time elapsed: 0.095 s
% 23.22/4.29 % (3466391)Peak memory usage: 91 MB
% 23.22/4.29 % (3466391)Instructions burned: 150 (million)
% 23.22/4.29 % (3466386)Instruction limit reached!
% 23.22/4.29 % (3466386)------------------------------
% 23.22/4.29 % (3466386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.22/4.29 % (3466386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466386)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466386)Termination reason: Instruction limit
% 23.22/4.29 % (3466386)Termination phase: Saturation
% 23.22/4.29 % (3466386)Time elapsed: 0.255 s
% 23.22/4.29 % (3466386)Peak memory usage: 92 MB
% 23.22/4.29 % (3466386)Instructions burned: 431 (million)
% 23.22/4.29 % (3466385)------------------------------
% 23.22/4.29 % (3466385)------------------------------
% 23.22/4.29 % Exception at run slice level
% 23.22/4.29 User error: GNN currently only supports monomorphic FOL.
% 23.22/4.29 % Exception at run slice level
% 23.22/4.29 User error: GNN currently only supports monomorphic FOL.
% 23.22/4.29 % (3466400)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2992651656:s2a=on:i=185:s2at=1.8:fdi=4_2986 on theBenchmark for (2986ds/185Mi)
% 23.22/4.29 % (3466401)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1285827545:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2985 on theBenchmark for (2985ds/193Mi)
% 23.22/4.29 % (3466404)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2525945214:i=319:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/319Mi)
% 23.22/4.29 % (3466402)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=359377844:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2985 on theBenchmark for (2985ds/4850Mi)
% 23.22/4.29 % (3466403)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3403425997:i=12111:sd=1:ss=included_2985 on theBenchmark for (2985ds/12111Mi)
% 23.22/4.29 % (3466395)------------------------------
% 23.22/4.29 % (3466395)------------------------------
% 23.22/4.29 % (3466404)Instruction limit reached!
% 23.22/4.29 % (3466404)------------------------------
% 23.22/4.29 % (3466404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.22/4.29 % (3466404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466404)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466404)Termination reason: Instruction limit
% 23.22/4.29 % (3466404)Termination phase: Saturation
% 23.22/4.29 % (3466404)Time elapsed: 0.084 s
% 23.22/4.29 % (3466404)Peak memory usage: 90 MB
% 23.22/4.29 % (3466404)Instructions burned: 324 (million)
% 23.22/4.29 % (3466400)Instruction limit reached!
% 23.22/4.29 % (3466400)------------------------------
% 23.22/4.29 % (3466400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.22/4.29 % (3466400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466400)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466400)Termination reason: Instruction limit
% 23.22/4.29 % (3466400)Termination phase: Saturation
% 23.22/4.29 % (3466400)Time elapsed: 0.115 s
% 23.22/4.29 % (3466400)Peak memory usage: 91 MB
% 23.22/4.29 % (3466400)Instructions burned: 185 (million)
% 23.22/4.29 % (3466401)Instruction limit reached!
% 23.22/4.29 % (3466401)------------------------------
% 23.22/4.29 % (3466401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.22/4.29 % (3466401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.22/4.29 % (3466401)CaDiCaL version: 2.1.3
% 23.22/4.29 % (3466401)Termination reason: Instruction limit
% 23.22/4.29 % (3466401)Termination phase: Saturation
% 23.22/4.29 % (3466401)Time elapsed: 0.128 s
% 23.22/4.29 % (3466401)Peak memory usage: 91 MB
% 32.04/5.48 % (3466401)Instructions burned: 193 (million)
% 32.04/5.48 % Exception at run slice level
% 32.04/5.48 User error: GNN currently only supports monomorphic FOL.
% 32.04/5.48 % (3466411)dis-1011_128_sil=32000:random_seed=2809058654:i=3706:ep=RST:av=off_2983 on theBenchmark for (2983ds/3706Mi)
% 32.04/5.48 % (3466410)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2144887910:i=2064:ep=RST_2983 on theBenchmark for (2983ds/2064Mi)
% 32.04/5.48 % (3466412)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=492764275:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2983 on theBenchmark for (2983ds/757Mi)
% 32.04/5.48 % (3466413)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2131478622:i=13913:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/13913Mi)
% 32.04/5.48 % (3466414)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2300454419:i=9925:aac=none_2982 on theBenchmark for (2982ds/9925Mi)
% 32.04/5.48 % Exception at run slice level
% 32.04/5.48 User error: GNN currently only supports monomorphic FOL.
% 32.04/5.48 % (3466420)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2134796650:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2980 on theBenchmark for (2980ds/2479Mi)
% 32.04/5.48 % (3466420)Refutation not found, incomplete strategy
% 32.04/5.48 % (3466420)------------------------------
% 32.04/5.48 % (3466420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.04/5.48 % (3466420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.04/5.48 % (3466420)CaDiCaL version: 2.1.3
% 32.04/5.48 % (3466420)Termination reason: Refutation not found, incomplete strategy
% 32.04/5.48 % (3466420)Time elapsed: 0.036 s
% 32.04/5.48 % (3466420)Peak memory usage: 89 MB
% 32.04/5.48 % (3466420)Instructions burned: 66 (million)
% 32.04/5.48 % Exception at run slice level
% 32.04/5.48 User error: GNN currently only supports monomorphic FOL.
% 32.04/5.48 % Exception at run slice level
% 32.04/5.48 User error: GNN currently only supports monomorphic FOL.
% 32.04/5.48 % (3466412)Instruction limit reached!
% 32.04/5.48 % (3466412)------------------------------
% 32.04/5.48 % (3466412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.04/5.48 % (3466412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.04/5.48 % (3466412)CaDiCaL version: 2.1.3
% 32.04/5.48 % (3466412)Termination reason: Instruction limit
% 32.04/5.48 % (3466412)Termination phase: Saturation
% 32.04/5.48 % (3466412)Time elapsed: 0.446 s
% 32.04/5.48 % (3466412)Peak memory usage: 94 MB
% 32.04/5.48 % (3466412)Instructions burned: 759 (million)
% 32.04/5.48 % (3466422)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1480642132:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2978 on theBenchmark for (2978ds/440Mi)
% 32.04/5.48 % (3466422)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.04/5.48 % (3466420)------------------------------
% 32.04/5.48 % (3466420)------------------------------
% 32.04/5.48 % (3466423)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2351665454:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2977 on theBenchmark for (2977ds/11145Mi)
% 32.04/5.48 % (3466424)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2452395969:cts=off:i=3034:av=off:er=known:fsd=on_2977 on theBenchmark for (2977ds/3034Mi)
% 32.04/5.48 % (3466426)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3069149628:st=2:s2a=on:i=524:s2at=2:ss=axioms_2976 on theBenchmark for (2976ds/524Mi)
% 32.04/5.48 % (3466422)Instruction limit reached!
% 32.04/5.48 % (3466422)------------------------------
% 32.04/5.48 % (3466422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.04/5.48 % (3466422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.04/5.48 % (3466422)CaDiCaL version: 2.1.3
% 32.04/5.48 % (3466422)Termination reason: Instruction limit
% 32.04/5.48 % (3466422)Termination phase: Saturation
% 32.04/5.48 % (3466422)Time elapsed: 0.247 s
% 32.04/5.48 % (3466422)Peak memory usage: 89 MB
% 32.04/5.48 % (3466422)Instructions burned: 440 (million)
% 32.04/5.48 % (3466410)Instruction limit reached!
% 32.04/5.48 % (3466410)------------------------------
% 32.04/5.48 % (3466410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.58/6.65 % (3466410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.58/6.65 % (3466410)CaDiCaL version: 2.1.3
% 40.58/6.65 % (3466410)Termination reason: Instruction limit
% 40.58/6.65 % (3466410)Termination phase: Saturation
% 40.58/6.65 % (3466410)Time elapsed: 0.898 s
% 40.58/6.65 % (3466410)Peak memory usage: 96 MB
% 40.58/6.65 % (3466410)Instructions burned: 2066 (million)
% 40.58/6.65 % (3466430)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3617797267:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2974 on theBenchmark for (2974ds/1016Mi)
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % (3466431)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4008930420:i=14123:bd=preordered:ins=4_2973 on theBenchmark for (2973ds/14123Mi)
% 40.58/6.65 % (3466426)Instruction limit reached!
% 40.58/6.65 % (3466426)------------------------------
% 40.58/6.65 % (3466426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.58/6.65 % (3466426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.58/6.65 % (3466426)CaDiCaL version: 2.1.3
% 40.58/6.65 % (3466426)Termination reason: Instruction limit
% 40.58/6.65 % (3466426)Termination phase: Saturation
% 40.58/6.65 % (3466426)Time elapsed: 0.283 s
% 40.58/6.65 % (3466426)Peak memory usage: 92 MB
% 40.58/6.65 % (3466426)Instructions burned: 525 (million)
% 40.58/6.65 % (3466434)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2158093516:i=2448:gtgl=5:bd=preordered:gtg=all_2972 on theBenchmark for (2972ds/2448Mi)
% 40.58/6.65 % (3466433)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1015161857:i=5781:kws=precedence:bd=all:rawr=on_2972 on theBenchmark for (2972ds/5781Mi)
% 40.58/6.65 % (3466411)Instruction limit reached!
% 40.58/6.65 % (3466411)------------------------------
% 40.58/6.65 % (3466411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.58/6.65 % (3466411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.58/6.65 % (3466411)CaDiCaL version: 2.1.3
% 40.58/6.65 % (3466411)Termination reason: Instruction limit
% 40.58/6.65 % (3466411)Termination phase: Saturation
% 40.58/6.65 % (3466411)Time elapsed: 1.177 s
% 40.58/6.65 % (3466411)Peak memory usage: 107 MB
% 40.58/6.65 % (3466411)Instructions burned: 3706 (million)
% 40.58/6.65 % (3466436)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1815357536:i=3223:kws=precedence:fgj=on:av=off_2971 on theBenchmark for (2971ds/3223Mi)
% 40.58/6.65 % (3466439)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=328238715:st=5.6:i=2033:sd=3:ss=axioms_2970 on theBenchmark for (2970ds/2033Mi)
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % (3466430)Instruction limit reached!
% 40.58/6.65 % (3466430)------------------------------
% 40.58/6.65 % (3466430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.58/6.65 % (3466430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.58/6.65 % (3466430)CaDiCaL version: 2.1.3
% 40.58/6.65 % (3466430)Termination reason: Instruction limit
% 40.58/6.65 % (3466430)Termination phase: Saturation
% 40.58/6.65 % (3466430)Time elapsed: 0.592 s
% 40.58/6.65 % (3466430)Peak memory usage: 99 MB
% 40.58/6.65 % (3466430)Instructions burned: 1017 (million)
% 40.58/6.65 % Exception at run slice level
% 40.58/6.65 User error: GNN currently only supports monomorphic FOL.
% 40.58/6.65 % (3466442)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3194519329:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2968 on theBenchmark for (2968ds/2055Mi)
% 40.58/6.65 % (3466443)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3454528720:i=21611:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/21611Mi)
% 40.58/6.65 % (3466444)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2770419629:i=4835:sd=13:ss=axioms:sgt=23_2967 on theBenchmark for (2967ds/4835Mi)
% 49.69/7.99 % (3466445)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2655803135:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2966 on theBenchmark for (2966ds/797Mi)
% 49.69/7.99 % (3466446)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3790268863:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2966 on theBenchmark for (2966ds/2326Mi)
% 49.69/7.99 % Exception at run slice level
% 49.69/7.99 User error: GNN currently only supports monomorphic FOL.
% 49.69/7.99 % (3466452)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2692361158:i=6038:nm=6_2964 on theBenchmark for (2964ds/6038Mi)
% 49.69/7.99 % Exception at run slice level
% 49.69/7.99 User error: GNN currently only supports monomorphic FOL.
% 49.69/7.99 % (3466454)lrs+10_1_sil=32000:sp=occurrence:random_seed=3971667016:st=2:i=33334:sd=3:ss=included:sgt=32_2962 on theBenchmark for (2962ds/33334Mi)
% 49.69/7.99 % Exception at run slice level
% 49.69/7.99 User error: GNN currently only supports monomorphic FOL.
% 49.69/7.99 % (3466445)Instruction limit reached!
% 49.69/7.99 % (3466445)------------------------------
% 49.69/7.99 % (3466445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.69/7.99 % (3466445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.69/7.99 % (3466445)CaDiCaL version: 2.1.3
% 49.69/7.99 % (3466445)Termination reason: Instruction limit
% 49.69/7.99 % (3466445)Termination phase: Saturation
% 49.69/7.99 % (3466445)Time elapsed: 0.409 s
% 49.69/7.99 % (3466445)Peak memory usage: 95 MB
% 49.69/7.99 % (3466445)Instructions burned: 799 (million)
% 49.69/7.99 % (3466456)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1816341157:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2961 on theBenchmark for (2961ds/1008Mi)
% 49.69/7.99 % (3466457)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=4084389506:i=8327:s2at=5:bd=preordered_2961 on theBenchmark for (2961ds/8327Mi)
% 49.69/7.99 % (3466456)Instruction limit reached!
% 49.69/7.99 % (3466456)------------------------------
% 49.69/7.99 % (3466456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.69/7.99 % (3466456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.69/7.99 % (3466456)CaDiCaL version: 2.1.3
% 49.69/7.99 % (3466456)Termination reason: Instruction limit
% 49.69/7.99 % (3466456)Termination phase: Saturation
% 49.69/7.99 % (3466456)Time elapsed: 0.280 s
% 49.69/7.99 % (3466456)Peak memory usage: 95 MB
% 49.69/7.99 % (3466456)Instructions burned: 1009 (million)
% 49.69/7.99 % (3466460)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=429212671:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2957 on theBenchmark for (2957ds/1083Mi)
% 49.69/7.99 % Exception at run slice level
% 49.69/7.99 User error: GNN currently only supports monomorphic FOL.
% 49.69/7.99 % (3466402)Instruction limit reached!
% 49.69/7.99 % (3466402)------------------------------
% 49.69/7.99 % (3466402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.69/7.99 % (3466402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.69/7.99 % (3466402)CaDiCaL version: 2.1.3
% 49.69/7.99 % (3466402)Termination reason: Instruction limit
% 49.69/7.99 % (3466402)Termination phase: Saturation
% 49.69/7.99 % (3466402)Time elapsed: 2.888 s
% 49.69/7.99 % (3466402)Peak memory usage: 113 MB
% 49.69/7.99 % (3466402)Instructions burned: 4851 (million)
% 49.69/7.99 % (3466462)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1426519527:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2955 on theBenchmark for (2955ds/1084Mi)
% 49.69/7.99 % (3466463)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=790883217:i=6995:s2at=5:gtg=all_2955 on theBenchmark for (2955ds/6995Mi)
% 49.69/7.99 % Exception at run slice level
% 49.69/7.99 User error: Immediate (shared) subterms of term/literal product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = sF66(X0,X2,X1,X5,X4,X3) have different types/not well-typed!
% 62.68/9.88 % (3466460)Instruction limit reached!
% 62.68/9.88 % (3466460)------------------------------
% 62.68/9.88 % (3466460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/9.88 % (3466460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/9.88 % (3466460)CaDiCaL version: 2.1.3
% 62.68/9.88 % (3466460)Termination reason: Instruction limit
% 62.68/9.88 % (3466460)Termination phase: Saturation
% 62.68/9.88 % (3466460)Time elapsed: 0.296 s
% 62.68/9.88 % (3466460)Peak memory usage: 97 MB
% 62.68/9.88 % (3466460)Instructions burned: 1085 (million)
% 62.68/9.88 % (3466466)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=2514173098:st=2:i=6225:sd=15:ss=axioms_2953 on theBenchmark for (2953ds/6225Mi)
% 62.68/9.88 % (3466467)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=3620849086:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2953 on theBenchmark for (2953ds/3372Mi)
% 62.68/9.88 % (3466446)Instruction limit reached!
% 62.68/9.88 % (3466446)------------------------------
% 62.68/9.88 % (3466446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/9.88 % (3466446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/9.88 % (3466446)CaDiCaL version: 2.1.3
% 62.68/9.88 % (3466446)Termination reason: Instruction limit
% 62.68/9.88 % (3466446)Termination phase: Saturation
% 62.68/9.88 % (3466446)Time elapsed: 1.390 s
% 62.68/9.88 % (3466446)Peak memory usage: 106 MB
% 62.68/9.88 % (3466446)Instructions burned: 2326 (million)
% 62.68/9.88 % Exception at run slice level
% 62.68/9.88 User error: GNN currently only supports monomorphic FOL.
% 62.68/9.88 % (3466470)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2953100481:st=2.3:i=26457:sd=10:ss=included:sgt=8_2951 on theBenchmark for (2951ds/26457Mi)
% 62.68/9.88 % (3466471)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=2650471704:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2949 on theBenchmark for (2949ds/13494Mi)
% 62.68/9.88 % (3466462)Instruction limit reached!
% 62.68/9.88 % (3466462)------------------------------
% 62.68/9.88 % (3466462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/9.88 % (3466462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/9.88 % (3466462)CaDiCaL version: 2.1.3
% 62.68/9.88 % (3466462)Termination reason: Instruction limit
% 62.68/9.88 % (3466462)Termination phase: Saturation
% 62.68/9.88 % (3466462)Time elapsed: 0.620 s
% 62.68/9.88 % (3466462)Peak memory usage: 99 MB
% 62.68/9.88 % (3466462)Instructions burned: 1084 (million)
% 62.68/9.88 % Exception at run slice level
% 62.68/9.88 User error: GNN currently only supports monomorphic FOL.
% 62.68/9.88 % (3466474)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=176695229:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2948 on theBenchmark for (2948ds/2503Mi)
% 62.68/9.88 % (3466474)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 62.68/9.88 % Exception at run slice level
% 62.68/9.88 User error: GNN currently only supports monomorphic FOL.
% 62.68/9.88 % (3466475)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=3321807031:i=2559:sd=1:ep=RSTC:ss=axioms_2946 on theBenchmark for (2946ds/2559Mi)
% 62.68/9.88 % (3466477)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=736546265:i=30753:av=off:ss=included_2945 on theBenchmark for (2945ds/30753Mi)
% 62.68/9.88 % Exception at run slice level
% 62.68/9.88 User error: GNN currently only supports monomorphic FOL.
% 62.68/9.88 % Exception at run slice level
% 62.68/9.88 User error: GNN currently only supports monomorphic FOL.
% 62.68/9.88 % (3466480)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=3739181248:i=26473:ep=RSTC_2943 on theBenchmark for (2943ds/26473Mi)
% 62.68/9.88 % (3466433)Instruction limit reached!
% 62.68/9.88 % (3466433)------------------------------
% 62.68/9.88 % (3466433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.68/9.88 % (3466433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.68/9.88 % (3466433)CaDiCaL version: 2.1.3
% 62.68/9.88 % (3466433)Termination reason: Instruction limit
% 62.68/9.88 % (3466433)Termination phase: Saturation
% 75.12/11.53 % (3466433)Time elapsed: 2.872 s
% 75.12/11.53 % (3466433)Peak memory usage: 106 MB
% 75.12/11.53 % (3466433)Instructions burned: 5781 (million)
% 75.12/11.53 % (3466481)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=435007400:cts=off:i=2759:kws=inv_arity:fgj=on_2942 on theBenchmark for (2942ds/2759Mi)
% 75.12/11.53 % (3466444)Instruction limit reached!
% 75.12/11.53 % (3466444)------------------------------
% 75.12/11.53 % (3466444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.12/11.53 % (3466444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.12/11.53 % (3466444)CaDiCaL version: 2.1.3
% 75.12/11.53 % (3466444)Termination reason: Instruction limit
% 75.12/11.53 % (3466444)Termination phase: Saturation
% 75.12/11.53 % (3466444)Time elapsed: 2.495 s
% 75.12/11.53 % (3466444)Peak memory usage: 117 MB
% 75.12/11.53 % (3466444)Instructions burned: 4835 (million)
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % (3466483)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=2879944797:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2942 on theBenchmark for (2942ds/5665Mi)
% 75.12/11.53 % (3466483)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 75.12/11.53 % (3466485)dis+1011_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:npcc=on:sos=on:lsd=20:urr=full:alpa=true:sac=on:random_seed=1394204859:i=1532:ep=RS:ss=axioms_2940 on theBenchmark for (2940ds/1532Mi)
% 75.12/11.53 % (3466487)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=2612151153:i=1565:sd=2:ss=axioms:sgt=32_2940 on theBenchmark for (2940ds/1565Mi)
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % (3466490)lrs-1011_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:sims=off:bsd=on:sp=unary_first:erd=off:spb=goal:lcm=reverse:gs=on:s2agt=8:random_seed=2722927958:i=1572:fgj=on:gsp=on_2937 on theBenchmark for (2937ds/1572Mi)
% 75.12/11.53 % (3466490)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % (3466491)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=2977053481:i=6052:sd=4:ss=axioms:sgt=24_2936 on theBenchmark for (2936ds/6052Mi)
% 75.12/11.53 % (3466493)lrs+21_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=arity:sos=on:erd=off:lcm=predicate:alpa=false:sac=on:random_seed=221507157:i=3500:sd=1:bd=preordered:sup=off:ss=included_2935 on theBenchmark for (2935ds/3500Mi)
% 75.12/11.53 % (3466495)lrs+35_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:npcc=on:fde=none:sp=weighted_frequency:erd=off:spb=non_intro:updr=off:newcnf=on:random_seed=192348192:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2935 on theBenchmark for (2935ds/1842Mi)
% 75.12/11.53 % (3466495)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % (3466498)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=2329347805:i=66096:add=on_2932 on theBenchmark for (2932ds/66096Mi)
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % Exception at run slice level
% 75.12/11.53 User error: GNN currently only supports monomorphic FOL.
% 75.12/11.53 % (3466499)lrs+1011_1_to=lpo:ncem=casc2026/models/loop3.pt:sil=64000:npcc=on:random_seed=1020877521:i=1884:sd=1:nm=60:ss=axioms_2931 on theBenchmark for (2931ds/1884Mi)
% 75.12/11.53 % (3466501)lrs-1011_4:1_sil=16000:bsr=on:random_seed=2215243424:cts=off:i=5469:bs=on:fsr=off_2930 on theBenchmark for (2930ds/5469Mi)
% 89.23/13.58 % (3466502)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=unary_frequency:urr=on:bce=on:alpa=false:sac=on:random_seed=4095044637:i=2037:s2at=10:gtgl=5:add=off:bd=preordered:ins=25:gtg=exists_all_2929 on theBenchmark for (2929ds/2037Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % (3466506)lrs-30_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:urr=on:bce=on:rp=on:br=off:flr=on:random_seed=398680369:st=-1:i=2110:kws=precedence:av=off:ss=axioms:er=known_2927 on theBenchmark for (2927ds/2110Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % (3466507)dis-1010_1_anc=all_dependent:ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:lcm=reverse:fd=off:flr=on:random_seed=1116359636:i=2430:add=off:aac=none:nm=16_2926 on theBenchmark for (2926ds/2430Mi)
% 89.23/13.58 % (3466509)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:spb=units:acc=on:bsr=unit_only:gs=on:sac=on:random_seed=1956510918:cond=fast:i=4891_2924 on theBenchmark for (2924ds/4891Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % (3466466)Instruction limit reached!
% 89.23/13.58 % (3466466)------------------------------
% 89.23/13.58 % (3466466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.23/13.58 % (3466466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.23/13.58 % (3466466)CaDiCaL version: 2.1.3
% 89.23/13.58 % (3466466)Termination reason: Instruction limit
% 89.23/13.58 % (3466466)Termination phase: Saturation
% 89.23/13.58 % (3466466)Time elapsed: 3.161 s
% 89.23/13.58 % (3466466)Peak memory usage: 131 MB
% 89.23/13.58 % (3466466)Instructions burned: 6227 (million)
% 89.23/13.58 % (3466512)lrs+4_1_anc=all:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sos=on:spb=goal_then_units:lcm=reverse:gs=on:s2agt=16:sac=on:newcnf=on:random_seed=3859280320:st=2:i=14845:sd=2:ss=included:fsd=on_2921 on theBenchmark for (2921ds/14845Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % (3466513)lrs-1010_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:urr=ec_only:br=off:random_seed=2487745609:i=7534:sd=3:ins=1:gtg=exists_top:ss=included:sgt=8_2920 on theBenchmark for (2920ds/7534Mi)
% 89.23/13.58 % (3466514)lrs-1002_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=ground:npcc=on:prc=on:fde=none:sims=off:spb=goal:bsr=unit_only:s2agt=32:random_seed=2071828431:cond=fast:i=10353:bs=on:av=off:ss=axioms:fsd=on:sgt=64:fsdmm=10_2920 on theBenchmark for (2920ds/10353Mi)
% 89.23/13.58 % (3466516)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1662985232:i=7860_2919 on theBenchmark for (2919ds/7860Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % (3466520)ott+1011_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:fde=unused:spb=goal:lsd=30:lcm=predicate:fd=off:gs=on:sac=on:random_seed=1062717612:i=7896:sd=2:bs=on:ss=included:sgt=20_2916 on theBenchmark for (2916ds/7896Mi)
% 89.23/13.58 % (3466521)lrs+10_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=ground:npcc=on:prc=on:random_seed=628281205:i=5812:gtgl=2:gtg=all_2915 on theBenchmark for (2915ds/5812Mi)
% 89.23/13.58 % (3466522)ott-1011_1_anc=none:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=const_frequency:sos=on:lsd=100:random_seed=1397142681:i=2965:s2at=3.7:aac=none:fgj=on:fdi=2:er=known_2915 on theBenchmark for (2915ds/2965Mi)
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 89.23/13.58 % Exception at run slice level
% 89.23/13.58 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % (3466526)lrs-1010_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1816738333:i=2967:kws=precedence:bd=preordered:av=off_2911 on theBenchmark for (2911ds/2967Mi)
% 111.44/16.65 % (3466527)ott+1002_1_anc=all:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:sos=on:spb=goal_then_units:alpa=false:sac=on:random_seed=3161196080:i=3022:sd=1:kws=frequency:aac=none:ep=RST:nm=16:ss=axioms:er=known_2910 on theBenchmark for (2910ds/3022Mi)
% 111.44/16.65 % (3466528)lrs-1010_1_ncem=casc2026/models/loop4.pt:sil=32000:tgt=ground:npcc=on:prc=on:sp=const_frequency:sos=all:lcm=predicate:acc=on:bsr=unit_only:gs=on:sac=on:newcnf=on:random_seed=546773304:prac=on:i=3207:kws=frequency:fgj=on:ss=axioms:er=filter:sgt=8_2909 on theBenchmark for (2909ds/3207Mi)
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % (3466532)lrs+1011_1_anc=all:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:sos=on:lcm=predicate:random_seed=3729265561:st=4.2:i=3289:sd=5:aac=none:ss=included:sgt=10_2905 on theBenchmark for (2905ds/3289Mi)
% 111.44/16.65 % (3466533)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:random_seed=375109773:i=38569:sd=3:ss=axioms:sgt=32_2905 on theBenchmark for (2905ds/38569Mi)
% 111.44/16.65 % (3466534)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=16000:npcc=on:bsr=on:random_seed=2660297535:cts=off:i=3394_2904 on theBenchmark for (2904ds/3394Mi)
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % (3466538)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=arity:spb=intro:lcm=reverse:urr=ec_only:fd=preordered:gs=on:sac=on:random_seed=3437286489:i=33824:bd=preordered_2900 on theBenchmark for (2900ds/33824Mi)
% 111.44/16.65 % (3466539)lrs+10_1_ncem=casc2026/models/loop3.pt:sil=64000:tgt=ground:npcc=on:random_seed=441678546:i=20684:bd=all:gtg=exists_sym_2900 on theBenchmark for (2900ds/20684Mi)
% 111.44/16.65 % (3466540)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:irw=on:npcc=on:prc=on:bsd=on:sp=reverse_frequency:sos=on:erd=off:spb=goal:lcm=reverse:urr=full:bsr=on:s2agt=32:alpa=random:kmz=on:random_seed=2457497342:st=3:prac=on:i=7222:kws=arity_squared:add=on:fgj=on:bd=preordered:gtg=exists_top:gsp=on:ss=axioms:er=known:sgt=8:proc=on_2899 on theBenchmark for (2899ds/7222Mi)
% 111.44/16.65 % (3466540)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 111.44/16.65 % (3466501)Instruction limit reached!
% 111.44/16.65 % (3466501)------------------------------
% 111.44/16.65 % (3466501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.44/16.65 % (3466501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.44/16.65 % (3466501)CaDiCaL version: 2.1.3
% 111.44/16.65 % (3466501)Termination reason: Instruction limit
% 111.44/16.65 % (3466501)Termination phase: Saturation
% 111.44/16.65 % (3466501)Time elapsed: 3.176 s
% 111.44/16.65 % (3466501)Peak memory usage: 110 MB
% 111.44/16.65 % (3466501)Instructions burned: 5470 (million)
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % (3466544)ott-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:spb=goal_then_units:random_seed=2483561324:st=4:i=7295:sd=4:ep=R:ss=axioms_2896 on theBenchmark for (2896ds/7295Mi)
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % Exception at run slice level
% 111.44/16.65 User error: GNN currently only supports monomorphic FOL.
% 111.44/16.65 % (3466546)lrs+32_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:fde=none:sp=occurrence:urr=ec_only:fd=preordered:random_seed=3000157676:i=4036:ins=10_2895 on theBenchmark for (2895ds/4036Mi)
% 111.44/16.65 % (3466547)lrs+10_1_sil=128000:lcm=predicate:random_seed=836028868:st=3:i=43697:sd=5:ss=axioms_2894 on theBenchmark for (2894ds/43697Mi)
% 126.34/18.79 % (3466548)lrs+1010_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:sp=const_frequency:sos=all:lcm=predicate:urr=on:s2agt=20:sac=on:random_seed=3913048190:i=17599:gtg=all:ss=axioms:fsd=on_2893 on theBenchmark for (2893ds/17599Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466552)lrs+1011_1_to=lpo:ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:prc=on:sp=occurrence:lcm=reverse:urr=ec_only:gs=on:random_seed=3965501145:i=4547:bd=preordered_2891 on theBenchmark for (2891ds/4547Mi)
% 126.34/18.79 % (3466553)lrs+1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sp=unary_first:spb=goal:urr=ec_only:newcnf=on:random_seed=427313926:i=9294:av=off_2890 on theBenchmark for (2890ds/9294Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466556)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=1204224462:i=32849:add=on_2888 on theBenchmark for (2888ds/32849Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466558)dis-1011_1_ncem=casc2026/models/loop5.pt:sil=64000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1829154221:st=1.5:i=4793:s2at=3:sd=3:fsr=off:ss=axioms_2886 on theBenchmark for (2886ds/4793Mi)
% 126.34/18.79 % (3466559)dis+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:prc=on:drc=off:sims=off:sp=const_frequency:sos=on:spb=non_intro:gs=on:updr=off:newcnf=on:random_seed=3685151541:i=4840:nm=4:av=off_2884 on theBenchmark for (2884ds/4840Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466562)lrs-1004_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:gs=on:newcnf=on:random_seed=332729513:cts=off:i=5002_2883 on theBenchmark for (2883ds/5002Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466564)dis+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=220480692:i=30479:sd=3:ss=axioms_2881 on theBenchmark for (2881ds/30479Mi)
% 126.34/18.79 % (3466565)lrs+1011_1_anc=none:ncem=casc2026/models/loop2.pt:sil=32000:tgt=full:npcc=on:fde=unused:sas=cadical:sp=const_frequency:spb=non_intro:lsd=10:lcm=predicate:rp=on:sac=on:newcnf=on:random_seed=4200307151:i=11035:s2at=5:kws=inv_arity:bs=on:gsp=on_2879 on theBenchmark for (2879ds/11035Mi)
% 126.34/18.79 % (3466565)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466568)lrs+1010_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:random_seed=3004128053:i=5835_2877 on theBenchmark for (2877ds/5835Mi)
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % Exception at run slice level
% 126.34/18.79 User error: GNN currently only supports monomorphic FOL.
% 126.34/18.79 % (3466570)ott+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=arity:urr=on:bsr=on:fd=preordered:foolp=on:random_seed=884794399:i=5890:s2at=2:kws=inv_precedence:ins=4:av=off_2875 on theBenchmark for (2875ds/5890Mi)
% 126.34/18.79 % (3466516)Instruction limit reached!
% 126.34/18.79 % (3466516)------------------------------
% 126.34/18.79 % (3466516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.34/18.79 % (3466516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.34/18.79 % (3466516)CaDiCaL version: 2.1.3
% 126.34/18.79 % (3466516)Termination reason: Instruction limit
% 126.34/18.79 % (3466516)Termination phase: Saturation
% 126.34/18.79 % (3466516)Time elapsed: 4.486 s
% 126.34/18.79 % (3466516)Peak memory usage: 148 MB
% 126.34/18.79 % (3466516)Instructions burned: 7861 (million)
% 126.34/18.79 % (3466571)lrs+10_1_sil=32000:sos=all:lma=off:random_seed=1894664370:cts=off:i=19910:ep=RS_2874 on theBenchmark for (2874ds/19910Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466573)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=arity:fd=preordered:s2agt=16:sac=on:random_seed=3197914560:i=20312:bd=preordered:fsr=off:er=filter_2872 on theBenchmark for (2872ds/20312Mi)
% 152.92/22.44 % (3466575)lrs+1011_1_ncem=casc2026/models/loop2.pt:sil=32000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal_then_units:urr=on:gs=on:sac=on:random_seed=4279662769:i=13822:kws=inv_arity_squared:bd=preordered:ins=5_2872 on theBenchmark for (2872ds/13822Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466579)ott-1011_91_sil=128000:prc=on:sims=off:sp=unary_first:urr=on:random_seed=4015890669:st=2:i=7144:kws=inv_arity_squared:bd=all:ins=1:ss=included:sgt=10_2870 on theBenchmark for (2870ds/7144Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466480)Instruction limit reached!
% 152.92/22.44 % (3466480)------------------------------
% 152.92/22.44 % (3466480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.92/22.44 % (3466480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.92/22.44 % (3466480)CaDiCaL version: 2.1.3
% 152.92/22.44 % (3466480)Termination reason: Instruction limit
% 152.92/22.44 % (3466480)Termination phase: Saturation
% 152.92/22.44 % (3466480)Time elapsed: 7.562 s
% 152.92/22.44 % (3466480)Peak memory usage: 186 MB
% 152.92/22.44 % (3466480)Instructions burned: 26475 (million)
% 152.92/22.44 % (3466629)lrs+21_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=882821216:i=15184:kws=inv_frequency:bd=preordered:av=off:er=known_2867 on theBenchmark for (2867ds/15184Mi)
% 152.92/22.44 % (3466639)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1600039769:i=107375_2867 on theBenchmark for (2867ds/107375Mi)
% 152.92/22.44 % (3466675)dis+11_1_ncem=casc2026/models/loop2.pt:sil=16000:tgt=full:npcc=on:sp=const_frequency:spb=units:lcm=predicate:fd=off:sac=on:newcnf=on:random_seed=2926547077:cts=off:i=7958:kws=inv_frequency:fgj=on:bs=unit_only:ins=1:fsr=off_2866 on theBenchmark for (2866ds/7958Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466770)dis+10_128_sil=16000:nwc=0.7:random_seed=470788566:i=15999:nm=2:gsp=on_2863 on theBenchmark for (2863ds/15999Mi)
% 152.92/22.44 % (3466770)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 152.92/22.44 % (3466778)ott+10_64_sil=128000:plsq=on:drc=off:plsqc=2:nwc=1:random_seed=2491017020:st=3:i=8139:fgj=on:bd=all:av=off:fsr=off:ss=included:sgt=8_2862 on theBenchmark for (2862ds/8139Mi)
% 152.92/22.44 % (3466779)lrs+10_1_ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=occurrence:sos=on:urr=on:sac=on:random_seed=2248691435:st=4:i=8950:sd=5:ss=axioms_2862 on theBenchmark for (2862ds/8950Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466921)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:prc=on:drc=off:spb=goal:random_seed=709698391:i=9809:ins=10:av=off_2857 on theBenchmark for (2857ds/9809Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466937)ott+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=arity:acc=on:fd=off:newcnf=on:random_seed=3226627021:st=2.6:cond=fast:i=9885:s2at=1.5:sd=2:fgj=on:ins=3:ss=included_2852 on theBenchmark for (2852ds/9885Mi)
% 152.92/22.44 % Exception at run slice level
% 152.92/22.44 User error: GNN currently only supports monomorphic FOL.
% 152.92/22.44 % (3466939)ott+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:etr=on:kmz=on:flr=on:random_seed=980408008:cond=fast:i=32078:fgj=on:av=off_2847 on theBenchmark for (2847ds/32078Mi)
% 152.92/22.44 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466941)dis-1010_64_to=lpo:sil=16000:tgt=ground:prc=on:fde=none:spb=goal_then_units:nwc=1:random_seed=1288485463:i=11101:bd=all:ss=axioms:sgt=8_2841 on theBenchmark for (2841ds/11101Mi)
% 166.53/24.39 % (3466579)Instruction limit reached!
% 166.53/24.39 % (3466579)------------------------------
% 166.53/24.39 % (3466579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466579)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466579)Termination reason: Instruction limit
% 166.53/24.39 % (3466579)Termination phase: Saturation
% 166.53/24.39 % (3466579)Time elapsed: 2.991 s
% 166.53/24.39 % (3466579)Peak memory usage: 96 MB
% 166.53/24.39 % (3466579)Instructions burned: 7144 (million)
% 166.53/24.39 % (3466943)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:fd=preordered:flr=on:random_seed=3940171647:cond=on:i=13220:s2at=3:aac=none:fsd=on_2838 on theBenchmark for (2838ds/13220Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466945)lrs-1010_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:spb=goal:urr=on:newcnf=on:random_seed=779365695:st=5:i=13528:sd=2:kws=inv_frequency:gtg=exists_top:ss=axioms_2833 on theBenchmark for (2833ds/13528Mi)
% 166.53/24.39 % (3466778)Instruction limit reached!
% 166.53/24.39 % (3466778)------------------------------
% 166.53/24.39 % (3466778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466778)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466778)Termination reason: Instruction limit
% 166.53/24.39 % (3466778)Termination phase: Saturation
% 166.53/24.39 % (3466778)Time elapsed: 3.131 s
% 166.53/24.39 % (3466778)Peak memory usage: 91 MB
% 166.53/24.39 % (3466778)Instructions burned: 8140 (million)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466947)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:sp=reverse_frequency:bce=on:bsr=unit_only:s2agt=32:newcnf=on:random_seed=313322335:st=6:i=14854:ep=RS:nm=2:av=off:gtg=exists_all:ss=included_2829 on theBenchmark for (2829ds/14854Mi)
% 166.53/24.39 % (3466948)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:spb=goal_then_units:random_seed=1774142970:i=14974:ss=axioms:sgt=16_2828 on theBenchmark for (2828ds/14974Mi)
% 166.53/24.39 % (3466770)Instruction limit reached!
% 166.53/24.39 % (3466770)------------------------------
% 166.53/24.39 % (3466770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466770)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466770)Termination reason: Instruction limit
% 166.53/24.39 % (3466770)Termination phase: Saturation
% 166.53/24.39 % (3466770)Time elapsed: 3.696 s
% 166.53/24.39 % (3466770)Peak memory usage: 104 MB
% 166.53/24.39 % (3466770)Instructions burned: 16002 (million)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466951)lrs-1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:sas=cadical:sp=arity:spb=units:lsd=1:acc=on:urr=ec_only:fd=preordered:gs=on:s2agt=16:random_seed=3500942554:i=33081:aac=none:fgj=on:bd=all:fsr=off_2825 on theBenchmark for (2825ds/33081Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466952)ott+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sims=off:sas=cadical:etr=on:spb=goal:acc=on:s2agt=60:alpa=true:random_seed=3474936376:i=50856:s2at=6:kws=arity:bd=preordered:nm=0:er=filter_2824 on theBenchmark for (2824ds/50856Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466954)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=3941183745:i=69865_2823 on theBenchmark for (2823ds/69865Mi)
% 166.53/24.39 % (3466956)lrs+1002_1_anc=none:to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:tgt=full:npcc=on:sp=arity:sos=on:spb=intro:lcm=reverse:random_seed=22737379:cond=fast:i=17802:gtgl=3:gtg=all_2821 on theBenchmark for (2821ds/17802Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: Immediate (shared) subterms of term/literal product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = sF78(X0,X2,X1,X5,X4,X3) have different types/not well-typed!
% 166.53/24.39 % (3466959)lrs+10_1_sil=128000:sas=cadical:urr=on:br=off:random_seed=901459165:i=96644_2820 on theBenchmark for (2820ds/96644Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466961)WARNING Broken Constraint: if extensionality_resolution(known) has been set then inequality_splitting(9) is equal to 0
% 166.53/24.39 % (3466961)dis+1011_1_to=kbo:ncem=casc2026/models/loop8.pt:tgt=ground:irw=on:drc=off:sp=unary_first:bce=on:bsr=unit_only:kmz=on:sac=on:random_seed=3058902878:cond=fast:i=21161:kws=arity_squared:bd=preordered:nm=16:ins=9:er=known_2819 on theBenchmark for (2819ds/21161Mi)
% 166.53/24.39 % (3466962)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:sp=const_frequency:sos=all:lcm=predicate:urr=on:s2agt=20:sac=on:random_seed=3879498017:i=22761:gtg=all:ss=axioms:fsd=on_2818 on theBenchmark for (2818ds/22761Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466965)dis-1011_7_sil=128000:fde=none:erd=off:fd=off:nwc=1:random_seed=1299786077:st=2:s2a=on:i=23713:s2at=2:sd=4:sup=off:ss=axioms_2812 on theBenchmark for (2812ds/23713Mi)
% 166.53/24.39 % (3466454)Instruction limit reached!
% 166.53/24.39 % (3466454)------------------------------
% 166.53/24.39 % (3466454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466454)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466454)Termination reason: Instruction limit
% 166.53/24.39 % (3466454)Termination phase: Saturation
% 166.53/24.39 % (3466454)Time elapsed: 15.576 s
% 166.53/24.39 % (3466454)Peak memory usage: 126 MB
% 166.53/24.39 % (3466454)Instructions burned: 33335 (million)
% 166.53/24.39 % (3466967)lrs+1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=unary_first:kmz=on:random_seed=2066892801:i=26509:kws=inv_arity:fgj=on:bd=preordered:av=off_2805 on theBenchmark for (2805ds/26509Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466969)dis+1011_1_to=kbo:ncem=casc2026/models/loop6.pt:tgt=ground:drc=off:fde=unused:sp=const_frequency:spb=units:bsr=on:sac=on:random_seed=2572509217:i=28957:kws=inv_frequency:add=on:fgj=on:bs=on:bd=all:er=known_2800 on theBenchmark for (2800ds/28957Mi)
% 166.53/24.39 % (3466571)Instruction limit reached!
% 166.53/24.39 % (3466571)------------------------------
% 166.53/24.39 % (3466571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466571)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466571)Termination reason: Instruction limit
% 166.53/24.39 % (3466571)Termination phase: Saturation
% 166.53/24.39 % (3466571)Time elapsed: 7.631 s
% 166.53/24.39 % (3466571)Peak memory usage: 101 MB
% 166.53/24.39 % (3466571)Instructions burned: 19911 (million)
% 166.53/24.39 % (3466971)lrs+1011_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=full:npcc=on:drc=off:sp=const_max:spb=goal_then_units:lcm=predicate:urr=ec_only:fd=preordered:gs=on:sac=on:random_seed=203480725:i=29246:s2at=-1:kws=inv_arity:ins=10_2796 on theBenchmark for (2796ds/29246Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466973)ott+1010_1_anc=all_dependent:ncem=casc2026/models/loop5.pt:sil=64000:tgt=full:npcc=on:sp=weighted_frequency:urr=on:gs=on:s2agt=32:sac=on:random_seed=4076440439:cond=on:i=30082:s2at=6:kws=inv_precedence:aac=none:ins=10:gsp=on_2791 on theBenchmark for (2791ds/30082Mi)
% 166.53/24.39 % (3466973)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466975)lrs+1011_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:fd=preordered:random_seed=2437901995:i=32262:bd=preordered_2785 on theBenchmark for (2785ds/32262Mi)
% 166.53/24.39 % (3466941)Instruction limit reached!
% 166.53/24.39 % (3466941)------------------------------
% 166.53/24.39 % (3466941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.53/24.39 % (3466941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.53/24.39 % (3466941)CaDiCaL version: 2.1.3
% 166.53/24.39 % (3466941)Termination reason: Instruction limit
% 166.53/24.39 % (3466941)Termination phase: Saturation
% 166.53/24.39 % (3466941)Time elapsed: 5.622 s
% 166.53/24.39 % (3466941)Peak memory usage: 108 MB
% 166.53/24.39 % (3466941)Instructions burned: 11101 (million)
% 166.53/24.39 % (3466977)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:random_seed=2818028719:i=32870:sd=4:fgj=on:ss=axioms:sgt=128_2784 on theBenchmark for (2784ds/32870Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466979)lrs-1010_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:prc=on:sp=reverse_frequency:spb=goal:acc=on:kmz=on:random_seed=1671215612:i=33295:kws=precedence:fgj=on:bd=preordered:ins=1_2780 on theBenchmark for (2780ds/33295Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466981)dis+11_1_anc=none:sfv=off:to=kbo:ncem=casc2026/models/loop6.pt:lma=off:bsr=unit_only:s2agt=8:kmz=on:sac=on:random_seed=1316654208:s2a=on:i=36826:kws=arity_squared:fgj=on:bd=preordered:nm=32:gtg=position_2778 on theBenchmark for (2778ds/36826Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466983)lrs-1003_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:spb=goal:bsr=unit_only:gs=on:br=off:flr=on:sac=on:random_seed=3124287660:st=2:i=92981:kws=inv_arity:fgj=on:ins=2:ss=axioms_2775 on theBenchmark for (2775ds/92981Mi)
% 166.53/24.39 % Exception at run slice level
% 166.53/24.39 User error: GNN currently only supports monomorphic FOL.
% 166.53/24.39 % (3466985)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=64000:npcc=on:bsr=unit_only:random_seed=3696162325:s2pl=on:i=49423_2770 on theBenchmark for (2770ds/49423Mi)
% 166.53/24.39 % (3466959)First to succeed.
% 166.53/24.39 % (3466959)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3466335"
% 166.53/24.39 % (3466959)Refutation found. Thanks to Tanya!
% 166.53/24.39 % SZS status Theorem for theBenchmark
% 166.53/24.39 % SZS output start Proof for theBenchmark
% See solution above
% 167.34/24.58 % (3466959)------------------------------
% 167.34/24.58 % (3466959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.34/24.58 % (3466959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.34/24.58 % (3466959)CaDiCaL version: 2.1.3
% 167.34/24.58 % (3466959)Termination reason: Refutation
% 167.34/24.58 % (3466959)Time elapsed: 5.303 s
% 167.34/24.58 % (3466959)Peak memory usage: 239 MB
% 167.34/24.58 % (3466959)Instructions burned: 17837 (million)
% 167.34/24.58 % (3466959)------------------------------
% 167.34/24.58 % (3466959)------------------------------
% 167.34/24.58 % (3466335)Success in time 23.531 s
% 167.34/24.58 % Vampire exiting
%------------------------------------------------------------------------------