%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT175_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:37:10 PM UTC 2026
% Result : Theorem 52.14s 8.36s
% Output : Refutation 53.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 239 ( 41 unt; 0 typ; 22 def)
% Number of atoms : 539 ( 63 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 527 ( 227 ~; 254 |; 14 &)
% ( 30 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 23 prp; 0-6 aty)
% Number of functors : 104 ( 104 usr; 4 con; 0-7 aty)
% Number of variables : 152 ( 0 sgn 152 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_8,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,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_2,type,
order_215145569der_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(product_prod(X0,X0),bool),bool) ) ).
tff(func_def_3,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_5,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(product_prod(X0,X1),X2) * X0 * X1 ) > X2 ) ).
tff(func_def_6,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_7,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_8,type,
id_on:
!>[X0: $tType] : ( fun(X0,bool) > fun(product_prod(X0,X0),bool) ) ).
tff(func_def_9,type,
converse:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > fun(product_prod(X1,X0),bool) ) ).
tff(func_def_10,type,
inv_image:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X1,X0) ) > fun(product_prod(X1,X1),bool) ) ).
tff(func_def_11,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_12,type,
transitive_trancl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > fun(product_prod(X0,X0),bool) ) ).
tff(func_def_13,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_14,type,
fFalse: bool ).
tff(func_def_15,type,
fTrue: bool ).
tff(func_def_16,type,
l: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_17,type,
sK1:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_18,type,
sK2:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_19,type,
sK3:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_20,type,
sK4:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_21,type,
sK5:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_22,type,
sK6:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_23,type,
sK7:
!>[X0: $tType] : ( ( fun(X0,bool) * product_prod(X0,X0) ) > X0 ) ).
tff(func_def_24,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_25,type,
sK9:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_26,type,
sK10:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_27,type,
sK11:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_28,type,
sK12:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_29,type,
sK13:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_30,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_31,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_32,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_33,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_34,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_35,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_36,type,
sK20:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_37,type,
sK21:
!>[X0: $tType] : X0 ).
tff(func_def_38,type,
sK22:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_39,type,
sK23:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_40,type,
sK24:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_41,type,
sK25:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_42,type,
sK26:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_43,type,
sK27:
!>[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_44,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_45,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_46,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_47,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_48,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_49,type,
sK33:
!>[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_50,type,
sK34:
!>[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_51,type,
sK35:
!>[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_52,type,
sK36:
!>[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_53,type,
sK37:
!>[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_54,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_55,type,
sK39:
!>[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_56,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)))) > X1 ) ).
tff(func_def_57,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)))) > X2 ) ).
tff(func_def_58,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)))) > X3 ) ).
tff(func_def_59,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)))) > X4 ) ).
tff(func_def_60,type,
sK44:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_61,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_62,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_63,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_64,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_65,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_66,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_67,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_68,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_69,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_70,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_71,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_72,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_73,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_74,type,
sK58:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_75,type,
sK59:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_76,type,
sK60:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_77,type,
sK61:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_78,type,
sK62:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_79,type,
sK63:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_80,type,
sK64:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_81,type,
sK65:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_82,type,
sK66:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_83,type,
sK67:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_84,type,
sK68:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_85,type,
sK69:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_86,type,
sK70:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_87,type,
sK71:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_88,type,
sK72:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * X0 * X0 ) > X0 ) ).
tff(func_def_89,type,
sK73:
!>[X0: $tType] : ( ( fun(product_prod(X0,X0),bool) * X0 * X0 ) > X0 ) ).
tff(func_def_90,type,
sK74:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).
tff(func_def_91,type,
sK75:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > X0 ) ).
tff(func_def_92,type,
sK76:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > X0 ) ).
tff(func_def_93,type,
sK77:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > X0 ) ).
tff(func_def_94,type,
sK78:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > X0 ) ).
tff(func_def_95,type,
sK79:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > X0 ) ).
tff(func_def_96,type,
sK80:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_97,type,
sK81:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_98,type,
sK82:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_99,type,
sK83:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_100,type,
sK84:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(func_def_101,type,
sK85:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) * X0 ) > X0 ) ).
tff(pred_def_1,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
order_1409979114der_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_3,type,
order_915043626der_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_4,type,
order_preorder_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_5,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_6,type,
antisym:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_7,type,
irrefl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_8,type,
refl_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_9,type,
sym:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_10,type,
total_on:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(pred_def_11,type,
trans:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_12,type,
transitive_acyclic:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_13,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(pred_def_15,type,
sP0:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(product_prod(X0,X0),bool) ) > $o ) ).
tff(f1,axiom,
! [X1: $tType,X0: $tType,X4: fun(product_prod(X0,X1),bool)] : ( converse(X1,X0,converse(X0,X1,X4)) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_converse__converse) ).
tff(f4,axiom,
arrow_1985332922le_Lin = collect(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_Lin__def) ).
tff(f7,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool),X2: fun(X0,bool)] :
( total_on(X0,X2,converse(X0,X0,X1))
<=> total_on(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_total__on__converse) ).
tff(f10,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( transitive_acyclic(X0,converse(X0,X0,X1))
<=> transitive_acyclic(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_acyclic__converse) ).
tff(f34,axiom,
! [X0: $tType,X1: X0] : pp(aa(X0,bool,top_top(fun(X0,bool)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_top1I) ).
tff(f40,axiom,
! [X0: $tType] : ( top_top(fun(X0,bool)) = collect(X0,combk(bool,X0,fTrue)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_UNIV__def) ).
tff(f63,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool),X2: fun(X0,bool)] :
( pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1))
<=> ( trans(X0,X1)
& irrefl(X0,X1)
& total_on(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_strict__linear__order__on__def) ).
tff(f64,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( trans(X0,converse(X0,X0,X1))
<=> trans(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_trans__converse) ).
tff(f71,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( transitive_acyclic(X0,X1)
<=> irrefl(X0,transitive_trancl(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_acyclic__irrefl) ).
tff(f74,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( trans(X0,X1)
=> ( transitive_trancl(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_trancl__id) ).
tff(f75,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] : trans(X0,transitive_trancl(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_trans__trancl) ).
tff(f77,axiom,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( member(X0,X2,X1)
<=> pp(aa(X0,bool,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_mem__def) ).
tff(f78,axiom,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_Collect__def) ).
tff(f80,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] : ( transitive_trancl(X0,converse(X0,X0,X1)) = converse(X0,X0,transitive_trancl(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_trancl__converse) ).
tff(f102,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U) ).
tff(f104,axiom,
! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
tff(f105,axiom,
pp(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
tff(f106,axiom,
! [X0: bool] :
( ( X0 = fTrue )
| ( X0 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).
tff(f107,conjecture,
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
<=> member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f108,negated_conjecture,
~ ( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
<=> member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin) ),
inference(negated_conjecture,[status(cth)],[f107]) ).
tff(f109,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool)] : ( converse(X0,X1,converse(X1,X0,X2)) = X2 ),
inference(rectify,[],[f1]) ).
tff(f158,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( transitive_trancl(X0,X1) = X1 )
| ~ trans(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
tff(f192,plain,
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
<~> member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin) ),
inference(ennf_transformation,[],[f108]) ).
tff(f199,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool),X2: fun(X0,bool)] :
( ( total_on(X0,X2,converse(X0,X0,X1))
| ~ total_on(X0,X2,X1) )
& ( total_on(X0,X2,X1)
| ~ total_on(X0,X2,converse(X0,X0,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f201,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( transitive_acyclic(X0,converse(X0,X0,X1))
| ~ transitive_acyclic(X0,X1) )
& ( transitive_acyclic(X0,X1)
| ~ transitive_acyclic(X0,converse(X0,X0,X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f248,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool),X2: fun(X0,bool)] :
( ( pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1))
| ~ trans(X0,X1)
| ~ irrefl(X0,X1)
| ~ total_on(X0,X2,X1) )
& ( ( trans(X0,X1)
& irrefl(X0,X1)
& total_on(X0,X2,X1) )
| ~ pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1)) ) ),
inference(nnf_transformation,[],[f63]) ).
tff(f249,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool),X2: fun(X0,bool)] :
( ( pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1))
| ~ trans(X0,X1)
| ~ irrefl(X0,X1)
| ~ total_on(X0,X2,X1) )
& ( ( trans(X0,X1)
& irrefl(X0,X1)
& total_on(X0,X2,X1) )
| ~ pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1)) ) ),
inference(flattening,[],[f248]) ).
tff(f250,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( trans(X0,converse(X0,X0,X1))
| ~ trans(X0,X1) )
& ( trans(X0,X1)
| ~ trans(X0,converse(X0,X0,X1)) ) ),
inference(nnf_transformation,[],[f64]) ).
tff(f257,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( transitive_acyclic(X0,X1)
| ~ irrefl(X0,transitive_trancl(X0,X1)) )
& ( irrefl(X0,transitive_trancl(X0,X1))
| ~ transitive_acyclic(X0,X1) ) ),
inference(nnf_transformation,[],[f71]) ).
tff(f260,plain,
! [X0: $tType,X1: fun(X0,bool),X2: X0] :
( ( member(X0,X2,X1)
| ~ pp(aa(X0,bool,X1,X2)) )
& ( pp(aa(X0,bool,X1,X2))
| ~ member(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f77]) ).
tff(f276,plain,
( ( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin) )
& ( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin) ) ),
inference(nnf_transformation,[],[f192]) ).
tff(f277,plain,
! [X1: $tType,X0: $tType,X2: fun(product_prod(X1,X0),bool)] : ( converse(X0,X1,converse(X1,X0,X2)) = X2 ),
inference(cnf_transformation,[],[f109]) ).
tff(f282,plain,
arrow_1985332922le_Lin = collect(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)))),
inference(cnf_transformation,[],[f4]) ).
tff(f287,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( total_on(X0,X2,X1)
| ~ total_on(X0,X2,converse(X0,X0,X1)) ),
inference(cnf_transformation,[],[f199]) ).
tff(f288,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( total_on(X0,X2,converse(X0,X0,X1))
| ~ total_on(X0,X2,X1) ),
inference(cnf_transformation,[],[f199]) ).
tff(f292,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( transitive_acyclic(X0,X1)
| ~ transitive_acyclic(X0,converse(X0,X0,X1)) ),
inference(cnf_transformation,[],[f201]) ).
tff(f293,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( transitive_acyclic(X0,converse(X0,X0,X1))
| ~ transitive_acyclic(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
tff(f342,plain,
! [X0: $tType,X1: X0] : pp(aa(X0,bool,top_top(fun(X0,bool)),X1)),
inference(cnf_transformation,[],[f34]) ).
tff(f352,plain,
! [X0: $tType] : ( top_top(fun(X0,bool)) = collect(X0,combk(bool,X0,fTrue)) ),
inference(cnf_transformation,[],[f40]) ).
tff(f376,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( total_on(X0,X2,X1)
| ~ pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f377,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( irrefl(X0,X1)
| ~ pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f378,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( trans(X0,X1)
| ~ pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1)) ),
inference(cnf_transformation,[],[f249]) ).
tff(f379,plain,
! [X0: $tType,X2: fun(X0,bool),X1: fun(product_prod(X0,X0),bool)] :
( pp(aa(fun(product_prod(X0,X0),bool),bool,order_215145569der_on(X0,X2),X1))
| ~ trans(X0,X1)
| ~ irrefl(X0,X1)
| ~ total_on(X0,X2,X1) ),
inference(cnf_transformation,[],[f249]) ).
tff(f380,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( trans(X0,X1)
| ~ trans(X0,converse(X0,X0,X1)) ),
inference(cnf_transformation,[],[f250]) ).
tff(f381,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( trans(X0,converse(X0,X0,X1))
| ~ trans(X0,X1) ),
inference(cnf_transformation,[],[f250]) ).
tff(f395,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( irrefl(X0,transitive_trancl(X0,X1))
| ~ transitive_acyclic(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
tff(f396,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( transitive_acyclic(X0,X1)
| ~ irrefl(X0,transitive_trancl(X0,X1)) ),
inference(cnf_transformation,[],[f257]) ).
tff(f400,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( transitive_trancl(X0,X1) = X1 )
| ~ trans(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tff(f401,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] : trans(X0,transitive_trancl(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
tff(f403,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( pp(aa(X0,bool,X1,X2))
| ~ member(X0,X2,X1) ),
inference(cnf_transformation,[],[f260]) ).
tff(f404,plain,
! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( member(X0,X2,X1)
| ~ pp(aa(X0,bool,X1,X2)) ),
inference(cnf_transformation,[],[f260]) ).
tff(f405,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(cnf_transformation,[],[f78]) ).
tff(f407,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] : ( transitive_trancl(X0,converse(X0,X0,X1)) = converse(X0,X0,transitive_trancl(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
tff(f452,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f102]) ).
tff(f454,plain,
! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
inference(cnf_transformation,[],[f104]) ).
tff(f455,plain,
pp(fTrue),
inference(cnf_transformation,[],[f105]) ).
tff(f456,plain,
! [X0: bool] :
( ( fTrue = X0 )
| ( fFalse = X0 ) ),
inference(cnf_transformation,[],[f106]) ).
tff(f457,plain,
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin) ),
inference(cnf_transformation,[],[f276]) ).
tff(f458,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin) ),
inference(cnf_transformation,[],[f276]) ).
tff(f468,definition,
( spl86_1
<=> member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin) ),
introduced(definition,[new_symbols(definition,[spl86_1])],[avatar_definition]) ).
tff(f469,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
| spl86_1 ),
inference(avatar_component_clause,[],[f468]) ).
tff(f472,definition,
( spl86_2
<=> member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin) ),
introduced(definition,[new_symbols(definition,[spl86_2])],[avatar_definition]) ).
tff(f473,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| spl86_2 ),
inference(avatar_component_clause,[],[f472]) ).
tff(f474,plain,
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ spl86_2 ),
inference(avatar_component_clause,[],[f472]) ).
tff(f475,plain,
( spl86_1
| spl86_2 ),
inference(avatar_split_clause,[],[f457,f472,f468]) ).
tff(f476,plain,
( ~ spl86_1
| ~ spl86_2 ),
inference(avatar_split_clause,[],[f458,f472,f468]) ).
tff(f477,plain,
! [X0: $tType] : ( top_top(fun(X0,bool)) = combk(bool,X0,fTrue) ),
inference(forward_demodulation,[],[f352,f405]) ).
tff(f478,plain,
arrow_1985332922le_Lin = order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool))),
inference(forward_demodulation,[],[f282,f405]) ).
tff(f479,plain,
! [X0: bool,X1: bool] :
( ( fFalse = X1 )
| ( X0 = X1 )
| ( fFalse = X0 ) ),
inference(superposition,[],[f456,f456]) ).
tff(f480,plain,
! [X0: bool] :
( pp(X0)
| ( fFalse = X0 ) ),
inference(superposition,[],[f455,f456]) ).
tff(f481,plain,
! [X0: bool] :
( ( fTrue != fFalse )
| ( fFalse = X0 ) ),
inference(equality_factoring,[],[f456]) ).
tff(f483,definition,
( spl86_3
<=> ! [X0: bool] : ( fFalse = X0 ) ),
introduced(definition,[new_symbols(definition,[spl86_3])],[avatar_definition]) ).
tff(f484,plain,
( ! [X0: bool] : ( fFalse = X0 )
| ~ spl86_3 ),
inference(avatar_component_clause,[],[f483]) ).
tff(f486,definition,
( spl86_4
<=> ( fTrue = fFalse ) ),
introduced(definition,[new_symbols(definition,[spl86_4])],[avatar_definition]) ).
tff(f489,plain,
( spl86_3
| ~ spl86_4 ),
inference(avatar_split_clause,[],[f481,f486,f483]) ).
tff(f505,definition,
( spl86_6
<=> pp(fFalse) ),
introduced(definition,[new_symbols(definition,[spl86_6])],[avatar_definition]) ).
tff(f507,plain,
( pp(fFalse)
| ~ spl86_6 ),
inference(avatar_component_clause,[],[f505]) ).
tff(f515,plain,
( $false
| ~ spl86_6 ),
inference(backward_subsumption_resolution,[],[f452,f507]) ).
tff(f516,plain,
~ spl86_6,
inference(avatar_contradiction_clause,[],[f515]) ).
tff(f517,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_1 ),
inference(resolution,[],[f404,f469]) ).
tff(f519,plain,
( ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| spl86_1 ),
inference(resolution,[],[f517,f480]) ).
tff(f523,definition,
( spl86_8
<=> ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ) ),
introduced(definition,[new_symbols(definition,[spl86_8])],[avatar_definition]) ).
tff(f524,plain,
( ( fFalse != aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| spl86_8 ),
inference(avatar_component_clause,[],[f523]) ).
tff(f525,plain,
( ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| ~ spl86_8 ),
inference(avatar_component_clause,[],[f523]) ).
tff(f531,plain,
( spl86_8
| spl86_1 ),
inference(avatar_split_clause,[],[f519,f468,f523]) ).
tff(f532,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_2 ),
inference(resolution,[],[f473,f404]) ).
tff(f539,plain,
( ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) )
| spl86_2 ),
inference(resolution,[],[f532,f480]) ).
tff(f543,definition,
( spl86_10
<=> ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) ) ),
introduced(definition,[new_symbols(definition,[spl86_10])],[avatar_definition]) ).
tff(f544,plain,
( ( fFalse != aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) )
| spl86_10 ),
inference(avatar_component_clause,[],[f543]) ).
tff(f545,plain,
( ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) )
| ~ spl86_10 ),
inference(avatar_component_clause,[],[f543]) ).
tff(f547,plain,
( spl86_10
| spl86_2 ),
inference(avatar_split_clause,[],[f539,f472,f543]) ).
tff(f550,plain,
( pp(fFalse)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ spl86_10 ),
inference(superposition,[],[f403,f545]) ).
tff(f558,plain,
! [X0: $tType,X1: X0] : ( aa(X0,bool,top_top(fun(X0,bool)),X1) = fTrue ),
inference(superposition,[],[f454,f477]) ).
tff(f562,plain,
! [X1: $tType,X0: fun(product_prod(X1,X1),bool)] :
( irrefl(X1,X0)
| ~ transitive_acyclic(X1,X0)
| ~ trans(X1,X0) ),
inference(superposition,[],[f395,f400]) ).
tff(f684,plain,
! [X1: $tType,X0: fun(product_prod(X1,X1),bool)] :
( ~ trans(X1,X0)
| ( converse(X1,X1,X0) = transitive_trancl(X1,converse(X1,X1,X0)) ) ),
inference(superposition,[],[f407,f400]) ).
tff(f793,plain,
! [X0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,X0))
| ~ trans(arrow_411405190le_alt,X0)
| ~ irrefl(arrow_411405190le_alt,X0)
| ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),X0) ),
inference(superposition,[],[f379,f478]) ).
tff(f947,plain,
( ~ spl86_2
| spl86_6
| ~ spl86_10 ),
inference(avatar_split_clause,[],[f550,f543,f505,f472]) ).
tff(f977,plain,
( ! [X0: bool] :
( ( fFalse != fFalse )
| ( aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) = X0 )
| ( fFalse = X0 ) )
| spl86_10 ),
inference(superposition,[],[f544,f479]) ).
tff(f979,plain,
( ! [X0: bool] :
( ( aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) = X0 )
| ( fFalse = X0 ) )
| spl86_10 ),
inference(trivial_inequality_removal,[],[f977]) ).
tff(f1061,plain,
( pp(fFalse)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
| ~ spl86_8 ),
inference(superposition,[],[f403,f525]) ).
tff(f1093,plain,
( ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| ~ member(X0,X2,X1)
| ( aa(X0,bool,X1,X2) = fFalse ) )
| spl86_10 ),
inference(superposition,[],[f403,f979]) ).
tff(f1127,definition,
( spl86_25
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l)) ),
introduced(definition,[new_symbols(definition,[spl86_25])],[avatar_definition]) ).
tff(f1144,definition,
( spl86_29
<=> ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ member(X0,X2,X1)
| ( aa(X0,bool,X1,X2) = fFalse ) ) ),
introduced(definition,[new_symbols(definition,[spl86_29])],[avatar_definition]) ).
tff(f1145,plain,
( ! [X0: $tType,X2: X0,X1: fun(X0,bool)] :
( ~ member(X0,X2,X1)
| ( aa(X0,bool,X1,X2) = fFalse ) )
| ~ spl86_29 ),
inference(avatar_component_clause,[],[f1144]) ).
tff(f1146,plain,
( spl86_29
| spl86_25
| spl86_10 ),
inference(avatar_split_clause,[],[f1093,f543,f1127,f1144]) ).
tff(f1150,plain,
( ~ spl86_1
| spl86_6
| ~ spl86_8 ),
inference(avatar_split_clause,[],[f1061,f523,f505,f468]) ).
tff(f1191,plain,
( ! [X0: bool] :
( ( fFalse != fFalse )
| ( aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) = X0 )
| ( fFalse = X0 ) )
| spl86_8 ),
inference(superposition,[],[f524,f479]) ).
tff(f1193,plain,
( ! [X0: bool] :
( ( aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) = X0 )
| ( fFalse = X0 ) )
| spl86_8 ),
inference(trivial_inequality_removal,[],[f1191]) ).
tff(f1220,plain,
( ! [X0: $tType,X1: X0] :
( pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| ( aa(X0,bool,top_top(fun(X0,bool)),X1) = fFalse ) )
| spl86_8 ),
inference(superposition,[],[f342,f1193]) ).
tff(f1251,definition,
( spl86_30
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))) ),
introduced(definition,[new_symbols(definition,[spl86_30])],[avatar_definition]) ).
tff(f1259,plain,
( ( fTrue = fFalse )
| pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_8 ),
inference(forward_demodulation,[],[f1220,f558]) ).
tff(f1261,plain,
( spl86_30
| spl86_4
| spl86_8 ),
inference(avatar_split_clause,[],[f1259,f523,f486,f1251]) ).
tff(f1709,definition,
( spl86_39
<=> trans(arrow_411405190le_alt,l) ),
introduced(definition,[new_symbols(definition,[spl86_39])],[avatar_definition]) ).
tff(f1710,plain,
( trans(arrow_411405190le_alt,l)
| ~ spl86_39 ),
inference(avatar_component_clause,[],[f1709]) ).
tff(f1711,plain,
( ~ trans(arrow_411405190le_alt,l)
| spl86_39 ),
inference(avatar_component_clause,[],[f1709]) ).
tff(f1806,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),l))
| spl86_39 ),
inference(resolution,[],[f1711,f378]) ).
tff(f2106,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),l) )
| spl86_39 ),
inference(resolution,[],[f1806,f480]) ).
tff(f2112,definition,
( spl86_45
<=> ! [X0: fun(arrow_411405190le_alt,bool)] : ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),l) ) ),
introduced(definition,[new_symbols(definition,[spl86_45])],[avatar_definition]) ).
tff(f2113,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),l) )
| ~ spl86_45 ),
inference(avatar_component_clause,[],[f2112]) ).
tff(f2117,plain,
( spl86_45
| spl86_39 ),
inference(avatar_split_clause,[],[f2106,f1709,f2112]) ).
tff(f2478,plain,
( ~ trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_39 ),
inference(resolution,[],[f1711,f380]) ).
tff(f2870,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_39 ),
inference(resolution,[],[f2478,f378]) ).
tff(f3422,plain,
( pp(fFalse)
| ~ trans(arrow_411405190le_alt,l)
| ~ irrefl(arrow_411405190le_alt,l)
| ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),l)
| ~ spl86_10 ),
inference(superposition,[],[f793,f545]) ).
tff(f3671,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] :
( pp(fFalse)
| ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,order_215145569der_on(arrow_411405190le_alt,X0)) )
| ~ spl86_45 ),
inference(superposition,[],[f403,f2113]) ).
tff(f3673,definition,
( spl86_68
<=> ! [X0: fun(arrow_411405190le_alt,bool)] : ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,order_215145569der_on(arrow_411405190le_alt,X0)) ),
introduced(definition,[new_symbols(definition,[spl86_68])],[avatar_definition]) ).
tff(f3674,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,order_215145569der_on(arrow_411405190le_alt,X0))
| ~ spl86_68 ),
inference(avatar_component_clause,[],[f3673]) ).
tff(f3675,plain,
( spl86_68
| spl86_6
| ~ spl86_45 ),
inference(avatar_split_clause,[],[f3671,f2112,f505,f3673]) ).
tff(f3713,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ spl86_68 ),
inference(superposition,[],[f3674,f478]) ).
tff(f5810,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_39 ),
inference(superposition,[],[f2870,f478]) ).
tff(f5819,plain,
( ~ spl86_30
| spl86_39 ),
inference(avatar_split_clause,[],[f5810,f1709,f1251]) ).
tff(f5822,definition,
( spl86_88
<=> trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_88])],[avatar_definition]) ).
tff(f5823,plain,
( trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ spl86_88 ),
inference(avatar_component_clause,[],[f5822]) ).
tff(f5824,plain,
( ~ trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_88 ),
inference(avatar_component_clause,[],[f5822]) ).
tff(f5830,definition,
( spl86_90
<=> total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),l) ),
introduced(definition,[new_symbols(definition,[spl86_90])],[avatar_definition]) ).
tff(f5832,plain,
( ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),l)
| spl86_90 ),
inference(avatar_component_clause,[],[f5830]) ).
tff(f5834,definition,
( spl86_91
<=> irrefl(arrow_411405190le_alt,l) ),
introduced(definition,[new_symbols(definition,[spl86_91])],[avatar_definition]) ).
tff(f5836,plain,
( ~ irrefl(arrow_411405190le_alt,l)
| spl86_91 ),
inference(avatar_component_clause,[],[f5834]) ).
tff(f5837,plain,
( ~ spl86_90
| ~ spl86_91
| ~ spl86_39
| spl86_6
| ~ spl86_10 ),
inference(avatar_split_clause,[],[f3422,f543,f505,f1709,f5834,f5830]) ).
tff(f5899,plain,
( ( converse(arrow_411405190le_alt,arrow_411405190le_alt,l) = transitive_trancl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| ~ spl86_39 ),
inference(resolution,[],[f1710,f684]) ).
tff(f5914,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,l)
| ~ trans(arrow_411405190le_alt,l)
| spl86_91 ),
inference(resolution,[],[f5836,f562]) ).
tff(f5916,definition,
( spl86_100
<=> transitive_acyclic(arrow_411405190le_alt,l) ),
introduced(definition,[new_symbols(definition,[spl86_100])],[avatar_definition]) ).
tff(f5918,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,l)
| spl86_100 ),
inference(avatar_component_clause,[],[f5916]) ).
tff(f5919,plain,
( ~ spl86_39
| ~ spl86_100
| spl86_91 ),
inference(avatar_split_clause,[],[f5914,f5834,f5916,f1709]) ).
tff(f5974,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_100 ),
inference(resolution,[],[f5918,f292]) ).
tff(f5975,plain,
( ~ irrefl(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| spl86_100 ),
inference(resolution,[],[f5918,f396]) ).
tff(f6268,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| ~ trans(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| spl86_100 ),
inference(resolution,[],[f5975,f562]) ).
tff(f6271,definition,
( spl86_108
<=> trans(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_108])],[avatar_definition]) ).
tff(f6273,plain,
( ~ trans(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| spl86_108 ),
inference(avatar_component_clause,[],[f6271]) ).
tff(f6275,definition,
( spl86_109
<=> transitive_acyclic(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_109])],[avatar_definition]) ).
tff(f6277,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| spl86_109 ),
inference(avatar_component_clause,[],[f6275]) ).
tff(f6278,plain,
( ~ spl86_108
| ~ spl86_109
| spl86_100 ),
inference(avatar_split_clause,[],[f6268,f5916,f6275,f6271]) ).
tff(f6439,plain,
( $false
| spl86_108 ),
inference(resolution,[],[f6273,f401]) ).
tff(f6451,plain,
spl86_108,
inference(avatar_contradiction_clause,[],[f6439]) ).
tff(f6511,plain,
( ~ irrefl(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l)))
| spl86_109 ),
inference(resolution,[],[f6277,f396]) ).
tff(f6569,plain,
( ~ trans(arrow_411405190le_alt,l)
| spl86_88 ),
inference(resolution,[],[f5824,f381]) ).
tff(f6582,plain,
( ~ spl86_39
| spl86_88 ),
inference(avatar_split_clause,[],[f6569,f5822,f1709]) ).
tff(f6627,plain,
( ( converse(arrow_411405190le_alt,arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) = transitive_trancl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))) )
| ~ spl86_88 ),
inference(resolution,[],[f5823,f684]) ).
tff(f6645,plain,
( ( l = transitive_trancl(arrow_411405190le_alt,l) )
| ~ spl86_88 ),
inference(forward_demodulation,[],[f6627,f277]) ).
tff(f6662,plain,
( ~ irrefl(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_100 ),
inference(resolution,[],[f5974,f396]) ).
tff(f6665,plain,
( ~ irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ spl86_39
| spl86_100 ),
inference(forward_demodulation,[],[f6662,f5899]) ).
tff(f6681,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| ~ spl86_39
| spl86_100 ),
inference(resolution,[],[f6665,f377]) ).
tff(f6865,plain,
( ~ irrefl(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| ~ trans(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| spl86_109 ),
inference(superposition,[],[f6511,f400]) ).
tff(f7338,plain,
( irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ transitive_acyclic(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ spl86_39 ),
inference(superposition,[],[f395,f5899]) ).
tff(f7574,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| ~ spl86_39
| spl86_100 ),
inference(superposition,[],[f6681,f478]) ).
tff(f7580,plain,
( ~ spl86_30
| ~ spl86_39
| spl86_100 ),
inference(avatar_split_clause,[],[f7574,f5916,f1709,f1251]) ).
tff(f7583,plain,
( ~ irrefl(arrow_411405190le_alt,l)
| ~ trans(arrow_411405190le_alt,transitive_trancl(arrow_411405190le_alt,l))
| ~ spl86_88
| spl86_109 ),
inference(forward_demodulation,[],[f6865,f6645]) ).
tff(f7593,plain,
( ~ trans(arrow_411405190le_alt,l)
| ~ irrefl(arrow_411405190le_alt,l)
| ~ spl86_88
| spl86_109 ),
inference(forward_demodulation,[],[f7583,f6645]) ).
tff(f7596,plain,
( ~ spl86_91
| ~ spl86_39
| ~ spl86_88
| spl86_109 ),
inference(avatar_split_clause,[],[f7593,f6275,f5822,f1709,f5834]) ).
tff(f7600,definition,
( spl86_123
<=> transitive_acyclic(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_123])],[avatar_definition]) ).
tff(f7602,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_123 ),
inference(avatar_component_clause,[],[f7600]) ).
tff(f7608,definition,
( spl86_125
<=> irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_125])],[avatar_definition]) ).
tff(f7611,plain,
( ~ spl86_123
| spl86_125
| ~ spl86_39 ),
inference(avatar_split_clause,[],[f7338,f1709,f7608,f7600]) ).
tff(f7688,plain,
( ~ transitive_acyclic(arrow_411405190le_alt,l)
| spl86_123 ),
inference(resolution,[],[f7602,f293]) ).
tff(f7699,plain,
( ~ spl86_100
| spl86_123 ),
inference(avatar_split_clause,[],[f7688,f7600,f5916]) ).
tff(f7848,plain,
( ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_90 ),
inference(resolution,[],[f5832,f287]) ).
tff(f7950,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool))),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_90 ),
inference(resolution,[],[f7848,f376]) ).
tff(f7953,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_90 ),
inference(forward_demodulation,[],[f7950,f478]) ).
tff(f7955,plain,
( ~ spl86_30
| spl86_90 ),
inference(avatar_split_clause,[],[f7953,f5830,f1251]) ).
tff(f7958,plain,
( $false
| ~ spl86_3
| spl86_8 ),
inference(backward_subsumption_resolution,[],[f524,f484]) ).
tff(f7959,plain,
( ~ spl86_3
| spl86_8 ),
inference(avatar_contradiction_clause,[],[f7958]) ).
tff(f7970,plain,
( ~ spl86_2
| ~ spl86_68 ),
inference(avatar_split_clause,[],[f3713,f3673,f472]) ).
tff(f8759,plain,
( ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l) )
| ~ spl86_2
| ~ spl86_29 ),
inference(resolution,[],[f1145,f474]) ).
tff(f8760,plain,
( spl86_10
| ~ spl86_2
| ~ spl86_29 ),
inference(avatar_split_clause,[],[f8759,f1144,f472,f543]) ).
tff(f8893,plain,
( pp(fFalse)
| ~ trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| ~ spl86_8 ),
inference(superposition,[],[f793,f525]) ).
tff(f8909,definition,
( spl86_137
<=> total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_137])],[avatar_definition]) ).
tff(f8911,plain,
( ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_137 ),
inference(avatar_component_clause,[],[f8909]) ).
tff(f8912,plain,
( ~ spl86_137
| ~ spl86_125
| ~ spl86_88
| spl86_6
| ~ spl86_8 ),
inference(avatar_split_clause,[],[f8893,f523,f505,f5822,f7608,f8909]) ).
tff(f8989,plain,
( ~ total_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool)),l)
| spl86_137 ),
inference(resolution,[],[f8911,f288]) ).
tff(f9002,plain,
( ~ spl86_90
| spl86_137 ),
inference(avatar_split_clause,[],[f8989,f8909,f5830]) ).
tff(f9020,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X0),l))
| spl86_91 ),
inference(resolution,[],[f5836,f377]) ).
tff(f9301,plain,
( ! [X0: fun(arrow_411405190le_alt,bool)] : ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,order_215145569der_on(arrow_411405190le_alt,X0))
| spl86_91 ),
inference(resolution,[],[f9020,f403]) ).
tff(f9309,plain,
( spl86_68
| spl86_91 ),
inference(avatar_split_clause,[],[f9301,f5834,f3673]) ).
tff(f9513,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool))),l))
| spl86_90 ),
inference(resolution,[],[f5832,f376]) ).
tff(f9514,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_90 ),
inference(forward_demodulation,[],[f9513,f478]) ).
tff(f9515,plain,
( ~ spl86_25
| spl86_90 ),
inference(avatar_split_clause,[],[f9514,f5830,f1127]) ).
cnf(s1,plain,
( spl86_1
| spl86_2 ),
inference(sat_conversion,[],[f475]) ).
cnf(s2,plain,
( ~ spl86_1
| ~ spl86_2 ),
inference(sat_conversion,[],[f476]) ).
cnf(s3,plain,
( spl86_3
| ~ spl86_4 ),
inference(sat_conversion,[],[f489]) ).
cnf(s6,plain,
~ spl86_6,
inference(sat_conversion,[],[f516]) ).
cnf(s8,plain,
( spl86_1
| spl86_8 ),
inference(sat_conversion,[],[f531]) ).
cnf(s10,plain,
( spl86_2
| spl86_10 ),
inference(sat_conversion,[],[f547]) ).
cnf(s30,plain,
( ~ spl86_2
| spl86_6
| ~ spl86_10 ),
inference(sat_conversion,[],[f947]) ).
cnf(s38,plain,
( spl86_10
| spl86_25
| spl86_29 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s40,plain,
( ~ spl86_1
| spl86_6
| ~ spl86_8 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s46,plain,
( spl86_4
| spl86_8
| spl86_30 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s76,plain,
( spl86_39
| spl86_45 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s111,plain,
( spl86_6
| ~ spl86_45
| spl86_68 ),
inference(sat_conversion,[],[f3675]) ).
cnf(s146,plain,
( ~ spl86_30
| spl86_39 ),
inference(sat_conversion,[],[f5819]) ).
cnf(s149,plain,
( spl86_6
| ~ spl86_10
| ~ spl86_39
| ~ spl86_90
| ~ spl86_91 ),
inference(sat_conversion,[],[f5837]) ).
cnf(s158,plain,
( ~ spl86_39
| spl86_91
| ~ spl86_100 ),
inference(sat_conversion,[],[f5919]) ).
cnf(s172,plain,
( spl86_100
| ~ spl86_108
| ~ spl86_109 ),
inference(sat_conversion,[],[f6278]) ).
cnf(s177,plain,
spl86_108,
inference(sat_conversion,[],[f6451]) ).
cnf(s181,plain,
( ~ spl86_39
| spl86_88 ),
inference(sat_conversion,[],[f6582]) ).
cnf(s200,plain,
( ~ spl86_30
| ~ spl86_39
| spl86_100 ),
inference(sat_conversion,[],[f7580]) ).
cnf(s207,plain,
( ~ spl86_39
| ~ spl86_88
| ~ spl86_91
| spl86_109 ),
inference(sat_conversion,[],[f7596]) ).
cnf(s209,plain,
( ~ spl86_39
| ~ spl86_123
| spl86_125 ),
inference(sat_conversion,[],[f7611]) ).
cnf(s210,plain,
( ~ spl86_100
| spl86_123 ),
inference(sat_conversion,[],[f7699]) ).
cnf(s216,plain,
( ~ spl86_30
| spl86_90 ),
inference(sat_conversion,[],[f7955]) ).
cnf(s217,plain,
( ~ spl86_3
| spl86_8 ),
inference(sat_conversion,[],[f7959]) ).
cnf(s218,plain,
( ~ spl86_2
| ~ spl86_68 ),
inference(sat_conversion,[],[f7970]) ).
cnf(s230,plain,
( ~ spl86_2
| spl86_10
| ~ spl86_29 ),
inference(sat_conversion,[],[f8760]) ).
cnf(s235,plain,
( spl86_6
| ~ spl86_8
| ~ spl86_88
| ~ spl86_125
| ~ spl86_137 ),
inference(sat_conversion,[],[f8912]) ).
cnf(s236,plain,
( ~ spl86_90
| spl86_137 ),
inference(sat_conversion,[],[f9002]) ).
cnf(s247,plain,
( spl86_68
| spl86_91 ),
inference(sat_conversion,[],[f9309]) ).
cnf(s248,plain,
( ~ spl86_25
| spl86_90 ),
inference(sat_conversion,[],[f9515]) ).
cnf(s252,plain,
( spl86_100
| ~ spl86_109 ),
inference(rat,[],[s172,s177]) ).
cnf(s270,plain,
spl86_1,
inference(rat,[],[s209,s210,s235,s252,s236,s207,s248,s181,s38,s76,s230,s111,s247,s30,s218,s1,s8,s6]) ).
cnf(s271,plain,
~ spl86_8,
inference(rat,[],[s40,s6,s270]) ).
cnf(s274,plain,
~ spl86_2,
inference(rat,[],[s2,s270]) ).
cnf(s275,plain,
~ spl86_3,
inference(rat,[],[s217,s271]) ).
cnf(s278,plain,
spl86_10,
inference(rat,[],[s10,s274]) ).
cnf(s279,plain,
~ spl86_4,
inference(rat,[],[s3,s275]) ).
cnf(s283,plain,
spl86_30,
inference(rat,[],[s46,s271,s279]) ).
cnf(s285,plain,
spl86_90,
inference(rat,[],[s216,s283]) ).
cnf(s286,plain,
spl86_39,
inference(rat,[],[s146,s283]) ).
cnf(s288,plain,
spl86_100,
inference(rat,[],[s200,s286,s283]) ).
cnf(s291,plain,
~ spl86_91,
inference(rat,[],[s149,s285,s278,s6,s286]) ).
cnf(s295,plain,
$false,
inference(rat,[],[s158,s286,s291,s288]) ).
tff(f9516,plain,
$false,
inference(avatar_sat_refutation,[],[s295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT175_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 23:58:24 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.64/1.92 % (1738032)Detected formulas, will run a generic FOF schedule.
% 5.64/1.92 % (1738040)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3647288329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.64/1.92 % (1738040)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.64/1.92 % (1738040)Refutation not found, incomplete strategy
% 5.64/1.92 % (1738040)------------------------------
% 5.64/1.92 % (1738040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.92 % (1738040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.92 % (1738040)CaDiCaL version: 2.1.3
% 5.64/1.92 % (1738040)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.92 % (1738040)Time elapsed: 0.002 s
% 5.64/1.92 % (1738040)Peak memory usage: 89 MB
% 5.64/1.92 % (1738040)Instructions burned: 2 (million)
% 5.64/1.92 % (1738039)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=3665608836:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.64/1.92 % (1738042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1140570:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.64/1.92 % (1738043)dis-21_1_sil=8000:lcm=predicate:random_seed=1274224135: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)
% 5.64/1.92 % (1738037)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=650390714:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.64/1.92 % (1738041)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2757257802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.64/1.92 % (1738038)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=3894128125:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.64/1.92 % (1738039)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.64/1.92 % (1738043)Instruction limit reached!
% 5.64/1.92 % (1738043)------------------------------
% 5.64/1.92 % (1738043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.92 % (1738043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.92 % (1738043)CaDiCaL version: 2.1.3
% 5.64/1.92 % (1738043)Termination reason: Instruction limit
% 5.64/1.92 % (1738043)Termination phase: Saturation
% 5.64/1.92 % (1738043)Time elapsed: 0.063 s
% 5.64/1.92 % (1738043)Peak memory usage: 95 MB
% 5.64/1.92 % (1738043)Instructions burned: 130 (million)
% 5.64/1.92 % (1738041)Instruction limit reached!
% 5.64/1.92 % (1738041)------------------------------
% 5.64/1.92 % (1738041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.92 % (1738041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.92 % (1738041)CaDiCaL version: 2.1.3
% 5.64/1.92 % (1738041)Termination reason: Instruction limit
% 5.64/1.92 % (1738041)Termination phase: Saturation
% 5.64/1.92 % (1738041)Time elapsed: 0.074 s
% 5.64/1.92 % (1738041)Peak memory usage: 88 MB
% 5.64/1.92 % (1738041)Instructions burned: 120 (million)
% 5.64/1.92 % (1738042)Instruction limit reached!
% 5.64/1.92 % (1738042)------------------------------
% 5.64/1.92 % (1738042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.92 % (1738042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.92 % (1738042)CaDiCaL version: 2.1.3
% 5.64/1.92 % (1738042)Termination reason: Instruction limit
% 5.64/1.92 % (1738042)Termination phase: Saturation
% 5.64/1.92 % (1738042)Time elapsed: 0.092 s
% 5.64/1.92 % (1738042)Peak memory usage: 89 MB
% 5.64/1.92 % (1738042)Instructions burned: 139 (million)
% 5.64/1.92 % (1738040)------------------------------
% 5.64/1.92 % (1738040)------------------------------
% 5.64/1.92 % (1738052)lrs+10_1_sil=32000:urr=on:br=off:random_seed=640719558:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.64/1.92 % (1738051)lrs+10_1_sil=8000:sp=occurrence:random_seed=3891584001:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.64/1.92 % (1738052)Refutation not found, incomplete strategy
% 5.64/1.92 % (1738052)------------------------------
% 9.42/2.24 % (1738052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/2.24 % (1738052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/2.24 % (1738052)CaDiCaL version: 2.1.3
% 9.42/2.24 % (1738052)Termination reason: Refutation not found, incomplete strategy
% 9.42/2.24 % (1738052)Time elapsed: 0.006 s
% 9.42/2.24 % (1738052)Peak memory usage: 89 MB
% 9.42/2.24 % (1738052)Instructions burned: 7 (million)
% 9.42/2.24 % (1738053)lrs+1011_1_sil=32000:sp=occurrence:random_seed=216837550:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.42/2.24 % (1738054)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=2701895683:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.42/2.24 % (1738054)Instruction limit reached!
% 9.42/2.24 % (1738054)------------------------------
% 9.42/2.24 % (1738054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/2.24 % (1738054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/2.24 % (1738054)CaDiCaL version: 2.1.3
% 9.42/2.24 % (1738054)Termination reason: Instruction limit
% 9.42/2.24 % (1738054)Termination phase: Saturation
% 9.42/2.24 % (1738054)Time elapsed: 0.072 s
% 9.42/2.24 % (1738054)Peak memory usage: 90 MB
% 9.42/2.24 % (1738054)Instructions burned: 252 (million)
% 9.42/2.24 % Exception at run slice level
% 9.42/2.24 User error: GNN currently only supports monomorphic FOL.
% 9.42/2.24 % Exception at run slice level% Exception at run slice level
% 9.42/2.24
% 9.42/2.24 User error: User error: GNN currently only supports monomorphic FOL.GNN currently only supports monomorphic FOL.
% 9.42/2.24
% 9.42/2.24 % (1738051)Instruction limit reached!
% 9.42/2.24 % (1738051)------------------------------
% 9.42/2.24 % (1738051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/2.24 % (1738051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/2.24 % (1738051)CaDiCaL version: 2.1.3
% 9.42/2.24 % (1738051)Termination reason: Instruction limit
% 9.42/2.24 % (1738051)Termination phase: Saturation
% 9.42/2.24 % (1738051)Time elapsed: 0.170 s
% 9.42/2.24 % (1738051)Peak memory usage: 90 MB
% 9.42/2.24 % (1738051)Instructions burned: 287 (million)
% 9.42/2.24 % (1738059)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2438555335:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.42/2.24 % (1738059)Refutation not found, incomplete strategy
% 9.42/2.24 % (1738059)------------------------------
% 9.42/2.24 % (1738059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/2.24 % (1738059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/2.24 % (1738059)CaDiCaL version: 2.1.3
% 9.42/2.24 % (1738059)Termination reason: Refutation not found, incomplete strategy
% 9.42/2.24 % (1738059)Time elapsed: 0.005 s
% 9.42/2.24 % (1738059)Peak memory usage: 89 MB
% 9.42/2.24 % (1738059)Instructions burned: 14 (million)
% 9.42/2.24 % (1738053)Instruction limit reached!
% 9.42/2.24 % (1738053)------------------------------
% 9.42/2.24 % (1738053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.42/2.24 % (1738053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/2.24 % (1738053)CaDiCaL version: 2.1.3
% 9.42/2.24 % (1738053)Termination reason: Instruction limit
% 9.42/2.24 % (1738053)Termination phase: Saturation
% 9.42/2.24 % (1738053)Time elapsed: 0.210 s
% 9.42/2.24 % (1738053)Peak memory usage: 91 MB
% 9.42/2.24 % (1738053)Instructions burned: 325 (million)
% 9.42/2.24 % (1738052)------------------------------
% 9.42/2.24 % (1738052)------------------------------
% 9.42/2.24 % (1738060)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1149107604:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.42/2.24 % (1738061)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1316068065:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.42/2.24 % (1738062)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2453093118:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.42/2.24 % (1738063)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1032737386:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 9.42/2.24 % (1738059)------------------------------
% 9.42/2.24 % (1738059)------------------------------
% 11.95/2.73 % (1738065)lrs+10_1_sil=8000:sp=occurrence:random_seed=194523632:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 11.95/2.73 % (1738062)Instruction limit reached!
% 11.95/2.73 % (1738062)------------------------------
% 11.95/2.73 % (1738062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738062)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738062)Termination reason: Instruction limit
% 11.95/2.73 % (1738062)Termination phase: Saturation
% 11.95/2.73 % (1738062)Time elapsed: 0.063 s
% 11.95/2.73 % (1738062)Peak memory usage: 88 MB
% 11.95/2.73 % (1738062)Instructions burned: 128 (million)
% 11.95/2.73 % (1738063)Instruction limit reached!
% 11.95/2.73 % (1738063)------------------------------
% 11.95/2.73 % (1738063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738063)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738063)Termination reason: Instruction limit
% 11.95/2.73 % (1738063)Termination phase: Saturation
% 11.95/2.73 % (1738063)Time elapsed: 0.062 s
% 11.95/2.73 % (1738063)Peak memory usage: 89 MB
% 11.95/2.73 % (1738063)Instructions burned: 115 (million)
% 11.95/2.73 % (1738061)Instruction limit reached!
% 11.95/2.73 % (1738061)------------------------------
% 11.95/2.73 % (1738061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738061)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738061)Termination reason: Instruction limit
% 11.95/2.73 % (1738061)Termination phase: Saturation
% 11.95/2.73 % (1738061)Time elapsed: 0.071 s
% 11.95/2.73 % (1738061)Peak memory usage: 89 MB
% 11.95/2.73 % (1738061)Instructions burned: 114 (million)
% 11.95/2.73 % (1738066)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1143679099:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 11.95/2.73 % (1738066)Refutation not found, incomplete strategy
% 11.95/2.73 % (1738066)------------------------------
% 11.95/2.73 % (1738066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738066)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738066)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.73 % (1738066)Time elapsed: 0.011 s
% 11.95/2.73 % (1738066)Peak memory usage: 89 MB
% 11.95/2.73 % (1738066)Instructions burned: 18 (million)
% 11.95/2.73 % (1738072)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2141297466:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 11.95/2.73 % (1738073)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2228533868:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 11.95/2.73 % (1738075)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=674722329:st=3:i=13193:sd=3:ss=axioms_2992 on theBenchmark for (2992ds/13193Mi)
% 11.95/2.73 % (1738074)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1168535722:st=8:i=592:sd=3:ep=RST:ss=axioms_2992 on theBenchmark for (2992ds/592Mi)
% 11.95/2.73 % (1738074)Refutation not found, incomplete strategy
% 11.95/2.73 % (1738074)------------------------------
% 11.95/2.73 % (1738074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738074)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738074)Termination reason: Refutation not found, incomplete strategy
% 11.95/2.73 % (1738074)Time elapsed: 0.010 s
% 11.95/2.73 % (1738074)Peak memory usage: 89 MB
% 11.95/2.73 % (1738074)Instructions burned: 18 (million)
% 11.95/2.73 % (1738073)Instruction limit reached!
% 11.95/2.73 % (1738073)------------------------------
% 11.95/2.73 % (1738073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.73 % (1738073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.73 % (1738073)CaDiCaL version: 2.1.3
% 11.95/2.73 % (1738073)Termination reason: Instruction limit
% 11.95/2.73 % (1738073)Termination phase: Saturation
% 11.95/2.73 % (1738073)Time elapsed: 0.078 s
% 11.95/2.73 % (1738073)Peak memory usage: 89 MB
% 11.95/2.73 % (1738073)Instructions burned: 135 (million)
% 11.95/2.73 % (1738066)------------------------------
% 16.88/3.39 % (1738066)------------------------------
% 16.88/3.39 % Exception at run slice level
% 16.88/3.39 User error: GNN currently only supports monomorphic FOL.
% 16.88/3.39 % Exception at run slice level
% 16.88/3.39 User error: GNN currently only supports monomorphic FOL.
% 16.88/3.39 % (1738081)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=2281879986:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/125Mi)
% 16.88/3.39 % (1738081)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.88/3.39 % (1738074)------------------------------
% 16.88/3.39 % (1738074)------------------------------
% 16.88/3.39 % (1738082)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3642527768:i=134:gtgl=5:slsql=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/134Mi)
% 16.88/3.39 % Exception at run slice level
% 16.88/3.39 User error: Immediate (shared) subterms of term/literal converse(X1,X1,inv_image(X0,X1,X3,X2)) = sF90(X1,X0,X3,X2) have different types/not well-typed!
% 16.88/3.39 % (1738084)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2215138323:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/431Mi)
% 16.88/3.39 % (1738083)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=356164941:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/141Mi)
% 16.88/3.39 % (1738083)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.88/3.39 % (1738083)Refutation not found, incomplete strategy
% 16.88/3.39 % (1738083)------------------------------
% 16.88/3.39 % (1738083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.39 % (1738083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.39 % (1738083)CaDiCaL version: 2.1.3
% 16.88/3.39 % (1738083)Termination reason: Refutation not found, incomplete strategy
% 16.88/3.39 % (1738083)Time elapsed: 0.003 s
% 16.88/3.39 % (1738083)Peak memory usage: 88 MB
% 16.88/3.39 % (1738083)Instructions burned: 2 (million)
% 16.88/3.39 % (1738081)Instruction limit reached!
% 16.88/3.39 % (1738081)------------------------------
% 16.88/3.39 % (1738081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.39 % (1738081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.39 % (1738081)CaDiCaL version: 2.1.3
% 16.88/3.39 % (1738081)Termination reason: Instruction limit
% 16.88/3.39 % (1738081)Termination phase: Saturation
% 16.88/3.39 % (1738081)Time elapsed: 0.087 s
% 16.88/3.39 % (1738081)Peak memory usage: 91 MB
% 16.88/3.39 % (1738081)Instructions burned: 126 (million)
% 16.88/3.39 % Exception at run slice level
% 16.88/3.39 User error: GNN currently only supports monomorphic FOL.
% 16.88/3.39 % (1738088)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=4108393499:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2988 on theBenchmark for (2988ds/150Mi)
% 16.88/3.39 % (1738065)Instruction limit reached!
% 16.88/3.39 % (1738065)------------------------------
% 16.88/3.39 % (1738065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.39 % (1738065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.39 % (1738065)CaDiCaL version: 2.1.3
% 16.88/3.39 % (1738065)Termination reason: Instruction limit
% 16.88/3.39 % (1738065)Termination phase: Saturation
% 16.88/3.39 % (1738065)Time elapsed: 0.544 s
% 16.88/3.39 % (1738065)Peak memory usage: 96 MB
% 16.88/3.39 % (1738065)Instructions burned: 907 (million)
% 16.88/3.39 % (1738088)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.88/3.39 % (1738087)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=4020826873:i=6060:aac=none:ins=25_2988 on theBenchmark for (2988ds/6060Mi)
% 16.88/3.39 % (1738088)Instruction limit reached!
% 16.88/3.39 % (1738088)------------------------------
% 16.88/3.39 % (1738088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.39 % (1738088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.39 % (1738088)CaDiCaL version: 2.1.3
% 16.88/3.39 % (1738088)Termination reason: Instruction limit
% 24.00/4.38 % (1738088)Termination phase: Saturation
% 24.00/4.38 % (1738088)Time elapsed: 0.053 s
% 24.00/4.38 % (1738088)Peak memory usage: 90 MB
% 24.00/4.38 % (1738088)Instructions burned: 150 (million)
% 24.00/4.38 % (1738091)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3135125955:i=14155:bd=all_2987 on theBenchmark for (2987ds/14155Mi)
% 24.00/4.38 % (1738092)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=640646092:i=667:av=off:fsr=off_2987 on theBenchmark for (2987ds/667Mi)
% 24.00/4.38 % (1738092)Refutation not found, incomplete strategy
% 24.00/4.38 % (1738092)------------------------------
% 24.00/4.38 % (1738092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.00/4.38 % (1738092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/4.38 % (1738092)CaDiCaL version: 2.1.3
% 24.00/4.38 % (1738092)Termination reason: Refutation not found, incomplete strategy
% 24.00/4.38 % (1738092)Time elapsed: 0.011 s
% 24.00/4.38 % (1738092)Peak memory usage: 89 MB
% 24.00/4.38 % (1738092)Instructions burned: 18 (million)
% 24.00/4.38 % (1738083)------------------------------
% 24.00/4.38 % (1738083)------------------------------
% 24.00/4.38 % (1738094)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=2011843621:s2a=on:i=185:s2at=1.8:fdi=4_2986 on theBenchmark for (2986ds/185Mi)
% 24.00/4.38 % (1738084)Instruction limit reached!
% 24.00/4.38 % (1738084)------------------------------
% 24.00/4.38 % (1738084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.00/4.38 % (1738084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/4.38 % (1738084)CaDiCaL version: 2.1.3
% 24.00/4.38 % (1738084)Termination reason: Instruction limit
% 24.00/4.38 % (1738084)Termination phase: Saturation
% 24.00/4.38 % (1738084)Time elapsed: 0.250 s
% 24.00/4.38 % (1738084)Peak memory usage: 90 MB
% 24.00/4.38 % (1738084)Instructions burned: 431 (million)
% 24.00/4.38 % (1738096)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3677075930:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2986 on theBenchmark for (2986ds/193Mi)
% 24.00/4.38 % (1738094)Instruction limit reached!
% 24.00/4.38 % (1738094)------------------------------
% 24.00/4.38 % (1738094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.00/4.38 % (1738094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/4.38 % (1738094)CaDiCaL version: 2.1.3
% 24.00/4.38 % (1738094)Termination reason: Instruction limit
% 24.00/4.38 % (1738094)Termination phase: Saturation
% 24.00/4.38 % (1738094)Time elapsed: 0.118 s
% 24.00/4.38 % (1738094)Peak memory usage: 92 MB
% 24.00/4.38 % (1738094)Instructions burned: 186 (million)
% 24.00/4.38 % (1738101)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1713341239:i=12111:sd=1:ss=included_2985 on theBenchmark for (2985ds/12111Mi)
% 24.00/4.38 % (1738100)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3989316263:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2985 on theBenchmark for (2985ds/4850Mi)
% 24.00/4.38 % (1738096)Instruction limit reached!
% 24.00/4.38 % (1738096)------------------------------
% 24.00/4.38 % (1738096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.00/4.38 % (1738096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/4.38 % (1738096)CaDiCaL version: 2.1.3
% 24.00/4.38 % (1738096)Termination reason: Instruction limit
% 24.00/4.38 % (1738096)Termination phase: Saturation
% 24.00/4.38 % (1738096)Time elapsed: 0.112 s
% 24.00/4.38 % (1738096)Peak memory usage: 90 MB
% 24.00/4.38 % (1738096)Instructions burned: 193 (million)
% 24.00/4.38 % (1738092)------------------------------
% 24.00/4.38 % (1738092)------------------------------
% 24.00/4.38 % Exception at run slice level
% 24.00/4.38 User error: GNN currently only supports monomorphic FOL.
% 24.00/4.38 % (1738103)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=578041008:i=319:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/319Mi)
% 24.00/4.38 % Exception at run slice level
% 24.00/4.38 User error: GNN currently only supports monomorphic FOL.
% 24.00/4.38 % (1738106)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2393340442:i=2064:ep=RST_2983 on theBenchmark for (2983ds/2064Mi)
% 24.00/4.38 % (1738107)dis-1011_128_sil=32000:random_seed=3368046321:i=3706:ep=RST:av=off_2982 on theBenchmark for (2982ds/3706Mi)
% 30.48/5.25 % (1738108)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1912922171:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2982 on theBenchmark for (2982ds/757Mi)
% 30.48/5.25 % (1738108)Refutation not found, incomplete strategy
% 30.48/5.25 % (1738108)------------------------------
% 30.48/5.25 % (1738108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.48/5.25 % (1738108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.48/5.25 % (1738108)CaDiCaL version: 2.1.3
% 30.48/5.25 % (1738108)Termination reason: Refutation not found, incomplete strategy
% 30.48/5.25 % (1738108)Time elapsed: 0.009 s
% 30.48/5.25 % (1738108)Peak memory usage: 89 MB
% 30.48/5.25 % (1738108)Instructions burned: 16 (million)
% 30.48/5.25 % (1738103)Instruction limit reached!
% 30.48/5.25 % (1738103)------------------------------
% 30.48/5.25 % (1738103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.48/5.25 % (1738103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.48/5.25 % (1738103)CaDiCaL version: 2.1.3
% 30.48/5.25 % (1738103)Termination reason: Instruction limit
% 30.48/5.25 % (1738103)Termination phase: Saturation
% 30.48/5.25 % (1738103)Time elapsed: 0.163 s
% 30.48/5.25 % (1738103)Peak memory usage: 90 MB
% 30.48/5.25 % (1738103)Instructions burned: 320 (million)
% 30.48/5.25 % (1738110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3513236011:i=13913:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/13913Mi)
% 30.48/5.25 % Exception at run slice level
% 30.48/5.25 User error: GNN currently only supports monomorphic FOL.
% 30.48/5.25 % (1738114)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2048816273:i=9925:aac=none_2980 on theBenchmark for (2980ds/9925Mi)
% 30.48/5.25 % (1738108)------------------------------
% 30.48/5.25 % (1738108)------------------------------
% 30.48/5.25 % (1738116)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=484515708:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2980 on theBenchmark for (2980ds/2479Mi)
% 30.48/5.25 % (1738116)Refutation not found, incomplete strategy
% 30.48/5.25 % (1738116)------------------------------
% 30.48/5.25 % (1738116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.48/5.25 % (1738116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.48/5.25 % (1738116)CaDiCaL version: 2.1.3
% 30.48/5.25 % (1738116)Termination reason: Refutation not found, incomplete strategy
% 30.48/5.25 % (1738116)Time elapsed: 0.008 s
% 30.48/5.25 % (1738116)Peak memory usage: 89 MB
% 30.48/5.25 % (1738116)Instructions burned: 13 (million)
% 30.48/5.25 % (1738106)Instruction limit reached!
% 30.48/5.25 % (1738106)------------------------------
% 30.48/5.25 % (1738106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.48/5.25 % (1738106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.48/5.25 % (1738106)CaDiCaL version: 2.1.3
% 30.48/5.25 % (1738106)Termination reason: Instruction limit
% 30.48/5.25 % (1738106)Termination phase: Saturation
% 30.48/5.25 % (1738106)Time elapsed: 0.416 s
% 30.48/5.25 % (1738106)Peak memory usage: 96 MB
% 30.48/5.25 % (1738106)Instructions burned: 2070 (million)
% 30.48/5.25 % (1738119)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=184161375:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2978 on theBenchmark for (2978ds/440Mi)
% 30.48/5.25 % Exception at run slice level
% 30.48/5.25 User error: GNN currently only supports monomorphic FOL.
% 30.48/5.25 % (1738119)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.48/5.25 % (1738121)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3757473030:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2977 on theBenchmark for (2977ds/11145Mi)
% 30.48/5.25 % (1738116)------------------------------
% 30.48/5.25 % (1738116)------------------------------
% 30.48/5.25 % Exception at run slice level
% 30.48/5.25 User error: GNN currently only supports monomorphic FOL.
% 30.48/5.25 % (1738123)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=3656892678:cts=off:i=3034:av=off:er=known:fsd=on_2977 on theBenchmark for (2977ds/3034Mi)
% 30.48/5.25 % (1738119)Instruction limit reached!
% 30.48/5.25 % (1738119)------------------------------
% 30.48/5.25 % (1738119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.09/6.35 % (1738119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.09/6.35 % (1738119)CaDiCaL version: 2.1.3
% 38.09/6.35 % (1738119)Termination reason: Instruction limit
% 38.09/6.35 % (1738119)Termination phase: Saturation
% 38.09/6.35 % (1738119)Time elapsed: 0.236 s
% 38.09/6.35 % (1738119)Peak memory usage: 89 MB
% 38.09/6.35 % (1738119)Instructions burned: 441 (million)
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % (1738125)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1035811772:st=2:s2a=on:i=524:s2at=2:ss=axioms_2975 on theBenchmark for (2975ds/524Mi)
% 38.09/6.35 % (1738126)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1907138569:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2975 on theBenchmark for (2975ds/1016Mi)
% 38.09/6.35 % (1738128)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2164703320:i=14123:bd=preordered:ins=4_2974 on theBenchmark for (2974ds/14123Mi)
% 38.09/6.35 % (1738129)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1880824653:i=5781:kws=precedence:bd=all:rawr=on_2974 on theBenchmark for (2974ds/5781Mi)
% 38.09/6.35 % (1738125)Instruction limit reached!
% 38.09/6.35 % (1738125)------------------------------
% 38.09/6.35 % (1738125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.09/6.35 % (1738125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.09/6.35 % (1738125)CaDiCaL version: 2.1.3
% 38.09/6.35 % (1738125)Termination reason: Instruction limit
% 38.09/6.35 % (1738125)Termination phase: Saturation
% 38.09/6.35 % (1738125)Time elapsed: 0.266 s
% 38.09/6.35 % (1738125)Peak memory usage: 91 MB
% 38.09/6.35 % (1738125)Instructions burned: 525 (million)
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % (1738126)Instruction limit reached!
% 38.09/6.35 % (1738126)------------------------------
% 38.09/6.35 % (1738126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.09/6.35 % (1738126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.09/6.35 % (1738126)CaDiCaL version: 2.1.3
% 38.09/6.35 % (1738126)Termination reason: Instruction limit
% 38.09/6.35 % (1738126)Termination phase: Saturation
% 38.09/6.35 % (1738126)Time elapsed: 0.369 s
% 38.09/6.35 % (1738126)Peak memory usage: 90 MB
% 38.09/6.35 % (1738126)Instructions burned: 1017 (million)
% 38.09/6.35 % (1738136)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1394909694:st=5.6:i=2033:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/2033Mi)
% 38.09/6.35 % (1738135)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=121628650:i=3223:kws=precedence:fgj=on:av=off_2971 on theBenchmark for (2971ds/3223Mi)
% 38.09/6.35 % (1738134)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=1744575212:i=2448:gtgl=5:bd=preordered:gtg=all_2971 on theBenchmark for (2971ds/2448Mi)
% 38.09/6.35 % (1738137)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3846816238:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2970 on theBenchmark for (2970ds/2055Mi)
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % Exception at run slice level
% 38.09/6.35 User error: GNN currently only supports monomorphic FOL.
% 38.09/6.35 % (1738142)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=3762399868:i=21611:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/21611Mi)
% 38.09/6.35 % (1738143)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=447150034:i=4835:sd=13:ss=axioms:sgt=23_2966 on theBenchmark for (2966ds/4835Mi)
% 38.09/6.35 % (1738144)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=142917664:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2966 on theBenchmark for (2966ds/797Mi)
% 45.40/7.54 % Exception at run slice level
% 45.40/7.54 User error: GNN currently only supports monomorphic FOL.
% 45.40/7.54 % Exception at run slice level
% 45.40/7.54 User error: GNN currently only supports monomorphic FOL.
% 45.40/7.54 % (1738148)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1737434842:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2963 on theBenchmark for (2963ds/2326Mi)
% 45.40/7.54 % (1738149)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1383575098:i=6038:nm=6_2963 on theBenchmark for (2963ds/6038Mi)
% 45.40/7.54 % (1738148)Refutation not found, incomplete strategy
% 45.40/7.54 % (1738148)------------------------------
% 45.40/7.54 % (1738148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.40/7.54 % (1738148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.40/7.54 % (1738148)CaDiCaL version: 2.1.3
% 45.40/7.54 % (1738148)Termination reason: Refutation not found, incomplete strategy
% 45.40/7.54 % (1738148)Time elapsed: 0.019 s
% 45.40/7.54 % (1738148)Peak memory usage: 89 MB
% 45.40/7.54 % (1738148)Instructions burned: 31 (million)
% 45.40/7.54 % (1738144)Instruction limit reached!
% 45.40/7.54 % (1738144)------------------------------
% 45.40/7.54 % (1738144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.40/7.54 % (1738144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.40/7.54 % (1738144)CaDiCaL version: 2.1.3
% 45.40/7.54 % (1738144)Termination reason: Instruction limit
% 45.40/7.54 % (1738144)Termination phase: Saturation
% 45.40/7.54 % (1738144)Time elapsed: 0.420 s
% 45.40/7.54 % (1738144)Peak memory usage: 94 MB
% 45.40/7.54 % (1738144)Instructions burned: 797 (million)
% 45.40/7.54 % (1738148)------------------------------
% 45.40/7.54 % (1738148)------------------------------
% 45.40/7.54 % (1738107)Instruction limit reached!
% 45.40/7.54 % (1738107)------------------------------
% 45.40/7.54 % (1738107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.40/7.54 % (1738107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.40/7.54 % (1738107)CaDiCaL version: 2.1.3
% 45.40/7.54 % (1738107)Termination reason: Instruction limit
% 45.40/7.54 % (1738107)Termination phase: Saturation
% 45.40/7.54 % (1738107)Time elapsed: 2.209 s
% 45.40/7.54 % (1738107)Peak memory usage: 111 MB
% 45.40/7.54 % (1738107)Instructions burned: 3707 (million)
% 45.40/7.54 % (1738152)lrs+10_1_sil=32000:sp=occurrence:random_seed=1933248680:st=2:i=33334:sd=3:ss=included:sgt=32_2960 on theBenchmark for (2960ds/33334Mi)
% 45.40/7.54 % (1738100)Instruction limit reached!
% 45.40/7.54 % (1738100)------------------------------
% 45.40/7.54 % (1738100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.40/7.54 % (1738100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.40/7.54 % (1738100)CaDiCaL version: 2.1.3
% 45.40/7.54 % (1738100)Termination reason: Instruction limit
% 45.40/7.54 % (1738100)Termination phase: Saturation
% 45.40/7.54 % (1738100)Time elapsed: 2.463 s
% 45.40/7.54 % (1738100)Peak memory usage: 103 MB
% 45.40/7.54 % (1738100)Instructions burned: 4850 (million)
% 45.40/7.54 % (1738153)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2627769515:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2960 on theBenchmark for (2960ds/1008Mi)
% 45.40/7.54 % Exception at run slice level
% 45.40/7.54 User error: GNN currently only supports monomorphic FOL.
% 45.40/7.54 % (1738154)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=450268446:i=8327:s2at=5:bd=preordered_2959 on theBenchmark for (2959ds/8327Mi)
% 45.40/7.54 % (1738156)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=1586531038:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2959 on theBenchmark for (2959ds/1083Mi)
% 45.40/7.54 % (1738158)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2347219331:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2958 on theBenchmark for (2958ds/1084Mi)
% 45.40/7.54 % (1738153)Instruction limit reached!
% 45.40/7.54 % (1738153)------------------------------
% 45.40/7.54 % (1738153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738153)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738153)Termination reason: Instruction limit
% 52.14/8.36 % (1738153)Termination phase: Saturation
% 52.14/8.36 % (1738153)Time elapsed: 0.268 s
% 52.14/8.36 % (1738153)Peak memory usage: 97 MB
% 52.14/8.36 % (1738153)Instructions burned: 1011 (million)
% 52.14/8.36 % (1738162)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=240354766:i=6995:s2at=5:gtg=all_2956 on theBenchmark for (2956ds/6995Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: Immediate (shared) subterms of term/literal product_prod_rec(X0,X2,X1,X5,product_Pair(X0,X2,X4,X3)) = sF85(X0,X2,X1,X5,X4,X3) have different types/not well-typed!
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738164)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=3563939912:st=2:i=6225:sd=15:ss=axioms_2954 on theBenchmark for (2954ds/6225Mi)
% 52.14/8.36 % (1738165)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=671209013:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2954 on theBenchmark for (2954ds/3372Mi)
% 52.14/8.36 % (1738156)Instruction limit reached!
% 52.14/8.36 % (1738156)------------------------------
% 52.14/8.36 % (1738156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738156)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738156)Termination reason: Instruction limit
% 52.14/8.36 % (1738156)Termination phase: Saturation
% 52.14/8.36 % (1738156)Time elapsed: 0.555 s
% 52.14/8.36 % (1738156)Peak memory usage: 96 MB
% 52.14/8.36 % (1738156)Instructions burned: 1084 (million)
% 52.14/8.36 % (1738158)Instruction limit reached!
% 52.14/8.36 % (1738158)------------------------------
% 52.14/8.36 % (1738158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738158)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738158)Termination reason: Instruction limit
% 52.14/8.36 % (1738158)Termination phase: Saturation
% 52.14/8.36 % (1738158)Time elapsed: 0.522 s
% 52.14/8.36 % (1738158)Peak memory usage: 93 MB
% 52.14/8.36 % (1738158)Instructions burned: 1085 (million)
% 52.14/8.36 % (1738168)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2153492991:st=2.3:i=26457:sd=10:ss=included:sgt=8_2951 on theBenchmark for (2951ds/26457Mi)
% 52.14/8.36 % (1738169)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=834747488:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2951 on theBenchmark for (2951ds/13494Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738129)Instruction limit reached!
% 52.14/8.36 % (1738129)------------------------------
% 52.14/8.36 % (1738129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738129)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738129)Termination reason: Instruction limit
% 52.14/8.36 % (1738129)Termination phase: Saturation
% 52.14/8.36 % (1738129)Time elapsed: 2.482 s
% 52.14/8.36 % (1738129)Peak memory usage: 97 MB
% 52.14/8.36 % (1738129)Instructions burned: 5782 (million)
% 52.14/8.36 % (1738172)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=2530866976:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2948 on theBenchmark for (2948ds/2503Mi)
% 52.14/8.36 % (1738172)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738173)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2054980433:i=2559:sd=1:ep=RSTC:ss=axioms_2948 on theBenchmark for (2948ds/2559Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738175)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=1708986749:i=30753:av=off:ss=included_2946 on theBenchmark for (2946ds/30753Mi)
% 52.14/8.36 % (1738177)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=2001429067:i=26473:ep=RSTC_2946 on theBenchmark for (2946ds/26473Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738180)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=1206794358:cts=off:i=2759:kws=inv_arity:fgj=on_2943 on theBenchmark for (2943ds/2759Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738181)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=570759500:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2942 on theBenchmark for (2942ds/5665Mi)
% 52.14/8.36 % (1738181)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.14/8.36 % (1738183)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=2945024058:i=1532:ep=RS:ss=axioms_2941 on theBenchmark for (2941ds/1532Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738186)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=509294091:i=1565:sd=2:ss=axioms:sgt=32_2938 on theBenchmark for (2938ds/1565Mi)
% 52.14/8.36 % (1738143)Instruction limit reached!
% 52.14/8.36 % (1738143)------------------------------
% 52.14/8.36 % (1738143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738143)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738143)Termination reason: Instruction limit
% 52.14/8.36 % (1738143)Termination phase: Saturation
% 52.14/8.36 % (1738143)Time elapsed: 2.840 s
% 52.14/8.36 % (1738143)Peak memory usage: 110 MB
% 52.14/8.36 % (1738143)Instructions burned: 4836 (million)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738187)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=2493131410:i=1572:fgj=on:gsp=on_2937 on theBenchmark for (2937ds/1572Mi)
% 52.14/8.36 % (1738187)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.14/8.36 % (1738164)Instruction limit reached!
% 52.14/8.36 % (1738164)------------------------------
% 52.14/8.36 % (1738164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.14/8.36 % (1738164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.14/8.36 % (1738164)CaDiCaL version: 2.1.3
% 52.14/8.36 % (1738164)Termination reason: Instruction limit
% 52.14/8.36 % (1738164)Termination phase: Saturation
% 52.14/8.36 % (1738164)Time elapsed: 1.818 s
% 52.14/8.36 % (1738164)Peak memory usage: 115 MB
% 52.14/8.36 % (1738164)Instructions burned: 6227 (million)
% 52.14/8.36 % (1738189)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=1412166130:i=6052:sd=4:ss=axioms:sgt=24_2936 on theBenchmark for (2936ds/6052Mi)
% 52.14/8.36 % (1738190)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=957012755:i=3500:sd=1:bd=preordered:sup=off:ss=included_2936 on theBenchmark for (2936ds/3500Mi)
% 52.14/8.36 % (1738193)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=422228843:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2935 on theBenchmark for (2935ds/1842Mi)
% 52.14/8.36 % (1738193)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738196)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=1854436706:i=66096:add=on_2933 on theBenchmark for (2933ds/66096Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738198)lrs-1011_4:1_sil=16000:bsr=on:random_seed=1763791536:cts=off:i=5469:bs=on:fsr=off_2932 on theBenchmark for (2932ds/5469Mi)
% 52.14/8.36 % (1738197)lrs+1011_1_to=lpo:ncem=casc2026/models/loop3.pt:sil=64000:npcc=on:random_seed=3946611148:i=1884:sd=1:nm=60:ss=axioms_2932 on theBenchmark for (2932ds/1884Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738200)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=1264025775:i=2037:s2at=10:gtgl=5:add=off:bd=preordered:ins=25:gtg=exists_all_2931 on theBenchmark for (2931ds/2037Mi)
% 52.14/8.36 % (1738203)lrs-30_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:urr=on:bce=on:rp=on:br=off:flr=on:random_seed=3094452858:st=-1:i=2110:kws=precedence:av=off:ss=axioms:er=known_2931 on theBenchmark for (2931ds/2110Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738198)First to succeed.
% 52.14/8.36 % (1738198)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1738032"
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738206)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=3555546911:i=2430:add=off:aac=none:nm=16_2928 on theBenchmark for (2928ds/2430Mi)
% 52.14/8.36 % (1738207)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=3477690937:cond=fast:i=4891_2927 on theBenchmark for (2927ds/4891Mi)
% 52.14/8.36 % Exception at run slice level
% 52.14/8.36 User error: GNN currently only supports monomorphic FOL.
% 52.14/8.36 % (1738198)Refutation found. Thanks to Tanya!
% 52.14/8.36 % SZS status Theorem for theBenchmark
% 52.14/8.36 % SZS output start Proof for theBenchmark
% See solution above
% 53.23/8.55 % (1738198)------------------------------
% 53.23/8.55 % (1738198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.23/8.55 % (1738198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.23/8.55 % (1738198)CaDiCaL version: 2.1.3
% 53.23/8.55 % (1738198)Termination reason: Refutation
% 53.23/8.55 % (1738198)Time elapsed: 0.440 s
% 53.23/8.55 % (1738198)Peak memory usage: 96 MB
% 53.23/8.55 % (1738198)Instructions burned: 1290 (million)
% 53.23/8.55 % (1738198)------------------------------
% 53.23/8.55 % (1738198)------------------------------
% 53.23/8.55 % (1738032)Success in time 7.481 s
% 53.23/8.55 % Vampire exiting
%------------------------------------------------------------------------------