%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n012.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 12:37:43 PM UTC 2026
% Result : Theorem 7.29s 1.56s
% Output : Refutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 175 ( 32 unt; 0 typ; 13 def)
% Number of atoms : 373 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 357 ( 159 ~; 160 |; 16 &)
% ( 21 <=>; 0 =>; 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 : 30 ( 28 usr; 14 prp; 0-6 aty)
% Number of functors : 104 ( 104 usr; 4 con; 0-7 aty)
% Number of variables : 123 ( 0 sgn 121 !; 2 ?; 123 :)
% 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(f13,axiom,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),converse(X1,X0,X2))
<=> member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_converse__iff) ).
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(f62,axiom,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( irrefl(X0,X1)
<=> ! [X2: X0] : ~ member(product_prod(X0,X0),product_Pair(X0,X0,X2,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_irrefl__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(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(f102,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U) ).
tff(f103,axiom,
pp(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_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(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(f203,plain,
! [X0: $tType,X1: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( ( member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),converse(X1,X0,X2))
| ~ member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2) )
& ( member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2)
| ~ member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),converse(X1,X0,X2)) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f245,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( irrefl(X0,X1)
| ? [X2: X0] : member(product_prod(X0,X0),product_Pair(X0,X0,X2,X2),X1) )
& ( ! [X2: X0] : ~ member(product_prod(X0,X0),product_Pair(X0,X0,X2,X2),X1)
| ~ irrefl(X0,X1) ) ),
inference(nnf_transformation,[],[f62]) ).
tff(f246,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( irrefl(X0,X1)
| ? [X2: X0] : member(product_prod(X0,X0),product_Pair(X0,X0,X2,X2),X1) )
& ( ! [X3: X0] : ~ member(product_prod(X0,X0),product_Pair(X0,X0,X3,X3),X1)
| ~ irrefl(X0,X1) ) ),
inference(rectify,[],[f245]) ).
tff(f247,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( ( irrefl(X0,X1)
| member(product_prod(X0,X0),product_Pair(X0,X0,sK62(X0,X1),sK62(X0,X1)),X1) )
& ( ! [X3: X0] : ~ member(product_prod(X0,X0),product_Pair(X0,X0,X3,X3),X1)
| ~ irrefl(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X2,sK62(X0,X1))],[f246]) ).
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(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(f298,plain,
! [X1: $tType,X0: $tType,X2: fun(product_prod(X1,X0),bool),X3: X1,X4: X0] :
( member(product_prod(X0,X1),product_Pair(X0,X1,X4,X3),converse(X1,X0,X2))
| ~ member(product_prod(X1,X0),product_Pair(X1,X0,X3,X4),X2) ),
inference(cnf_transformation,[],[f203]) ).
tff(f352,plain,
! [X0: $tType] : ( top_top(fun(X0,bool)) = collect(X0,combk(bool,X0,fTrue)) ),
inference(cnf_transformation,[],[f40]) ).
tff(f374,plain,
! [X0: $tType,X3: X0,X1: fun(product_prod(X0,X0),bool)] :
( ~ member(product_prod(X0,X0),product_Pair(X0,X0,X3,X3),X1)
| ~ irrefl(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tff(f375,plain,
! [X0: $tType,X1: fun(product_prod(X0,X0),bool)] :
( irrefl(X0,X1)
| member(product_prod(X0,X0),product_Pair(X0,X0,sK62(X0,X1),sK62(X0,X1)),X1) ),
inference(cnf_transformation,[],[f247]) ).
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(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(f452,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f102]) ).
tff(f453,plain,
pp(fTrue),
inference(cnf_transformation,[],[f103]) ).
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(f471,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(f472,plain,
( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ~ spl86_2 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f473,plain,
( spl86_1
| spl86_2 ),
inference(avatar_split_clause,[],[f457,f471,f468]) ).
tff(f474,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(f475,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| spl86_2 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f476,plain,
( ~ spl86_1
| ~ spl86_2 ),
inference(avatar_split_clause,[],[f458,f471,f468]) ).
tff(f478,plain,
! [X0: bool] :
( pp(X0)
| ( fFalse = X0 ) ),
inference(superposition,[],[f453,f456]) ).
tff(f481,definition,
( spl86_3
<=> ! [X0: bool] : ( fFalse = X0 ) ),
introduced(definition,[new_symbols(definition,[spl86_3])],[avatar_definition]) ).
tff(f482,plain,
( ! [X0: bool] : ( fFalse = X0 )
| ~ spl86_3 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f490,plain,
( pp(fFalse)
| ~ spl86_3 ),
inference(superposition,[],[f453,f482]) ).
tff(f492,plain,
( $false
| ~ spl86_3 ),
inference(forward_subsumption_resolution,[],[f490,f452]) ).
tff(f493,plain,
~ spl86_3,
inference(avatar_contradiction_clause,[],[f492]) ).
tff(f549,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,f474]) ).
tff(f572,definition,
( spl86_5
<=> ( 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_5])],[avatar_definition]) ).
tff(f573,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_5 ),
inference(avatar_component_clause,[],[f572]) ).
tff(f582,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_5 ),
inference(superposition,[],[f403,f573]) ).
tff(f611,plain,
! [X0: $tType] : ( top_top(fun(X0,bool)) = combk(bool,X0,fTrue) ),
inference(forward_demodulation,[],[f352,f405]) ).
tff(f990,plain,
arrow_1985332922le_Lin = order_215145569der_on(arrow_411405190le_alt,top_top(fun(arrow_411405190le_alt,bool))),
inference(forward_demodulation,[],[f282,f405]) ).
tff(f991,plain,
arrow_1985332922le_Lin = order_215145569der_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue)),
inference(forward_demodulation,[],[f990,f611]) ).
tff(f996,plain,
! [X0: bool] :
( ( arrow_1985332922le_Lin = order_215145569der_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,X0)) )
| ( fFalse = X0 ) ),
inference(superposition,[],[f991,f456]) ).
tff(f1089,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,combk(bool,arrow_411405190le_alt,fTrue),X0) ),
inference(superposition,[],[f379,f991]) ).
tff(f1270,plain,
! [X0: $tType,X2: fun(product_prod(X0,X0),bool),X1: X0] :
( ~ member(product_prod(X0,X0),product_Pair(X0,X0,X1,X1),X2)
| ~ irrefl(X0,converse(X0,X0,X2)) ),
inference(resolution,[],[f298,f374]) ).
tff(f4838,plain,
( ~ 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,combk(bool,arrow_411405190le_alt,fTrue),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_1 ),
inference(resolution,[],[f1089,f549]) ).
tff(f4865,definition,
( spl86_26
<=> total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_26])],[avatar_definition]) ).
tff(f4866,plain,
( ~ total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_26 ),
inference(avatar_component_clause,[],[f4865]) ).
tff(f4868,definition,
( spl86_27
<=> irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_27])],[avatar_definition]) ).
tff(f4869,plain,
( ~ irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_27 ),
inference(avatar_component_clause,[],[f4868]) ).
tff(f4871,definition,
( spl86_28
<=> trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ),
introduced(definition,[new_symbols(definition,[spl86_28])],[avatar_definition]) ).
tff(f4872,plain,
( ~ trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_28 ),
inference(avatar_component_clause,[],[f4871]) ).
tff(f4873,plain,
( ~ spl86_26
| ~ spl86_27
| ~ spl86_28
| spl86_1 ),
inference(avatar_split_clause,[],[f4838,f468,f4871,f4868,f4865]) ).
tff(f4875,plain,
( ~ total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),l)
| spl86_26 ),
inference(resolution,[],[f4866,f288]) ).
tff(f4996,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue)),l))
| spl86_26 ),
inference(resolution,[],[f4875,f376]) ).
tff(f5004,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_26 ),
inference(forward_demodulation,[],[f4996,f991]) ).
tff(f5081,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| spl86_26 ),
inference(resolution,[],[f5004,f403]) ).
tff(f5107,plain,
( $false
| ~ spl86_2
| spl86_26 ),
inference(forward_subsumption_resolution,[],[f5081,f472]) ).
tff(f5108,plain,
( ~ spl86_2
| spl86_26 ),
inference(avatar_contradiction_clause,[],[f5107]) ).
tff(f5114,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,sK62(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)),sK62(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_27 ),
inference(resolution,[],[f4869,f375]) ).
tff(f5115,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_27 ),
inference(resolution,[],[f4869,f377]) ).
tff(f5160,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),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| spl86_27 ),
inference(resolution,[],[f5115,f478]) ).
tff(f5172,definition,
( spl86_36
<=> ! [X1: fun(arrow_411405190le_alt,bool)] : ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X1),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) ) ),
introduced(definition,[new_symbols(definition,[spl86_36])],[avatar_definition]) ).
tff(f5173,plain,
( ! [X1: fun(arrow_411405190le_alt,bool)] : ( fFalse = aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,X1),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)) )
| ~ spl86_36 ),
inference(avatar_component_clause,[],[f5172]) ).
tff(f5276,plain,
( spl86_36
| spl86_27 ),
inference(avatar_split_clause,[],[f5160,f4868,f5172]) ).
tff(f5340,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_36 ),
inference(superposition,[],[f5173,f991]) ).
tff(f5415,plain,
( ~ irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_27 ),
inference(resolution,[],[f5114,f1270]) ).
tff(f5437,plain,
( ~ irrefl(arrow_411405190le_alt,l)
| spl86_27 ),
inference(forward_demodulation,[],[f5415,f277]) ).
tff(f5473,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_27 ),
inference(resolution,[],[f5437,f377]) ).
tff(f5885,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_27 ),
inference(resolution,[],[f5473,f403]) ).
tff(f5914,definition,
( spl86_39
<=> pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l)) ),
introduced(definition,[new_symbols(definition,[spl86_39])],[avatar_definition]) ).
tff(f5915,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_39 ),
inference(avatar_component_clause,[],[f5914]) ).
tff(f5930,plain,
( ! [X0: bool] :
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| ( fFalse = X0 ) )
| spl86_27 ),
inference(superposition,[],[f5885,f996]) ).
tff(f5931,plain,
( ! [X0: bool] : ( fFalse = X0 )
| ~ spl86_2
| spl86_27 ),
inference(forward_subsumption_resolution,[],[f5930,f472]) ).
tff(f5934,plain,
( spl86_3
| ~ spl86_2
| spl86_27 ),
inference(avatar_split_clause,[],[f5931,f4868,f471,f481]) ).
tff(f5989,plain,
( ~ trans(arrow_411405190le_alt,l)
| spl86_28 ),
inference(resolution,[],[f4872,f381]) ).
tff(f6001,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_28 ),
inference(resolution,[],[f5989,f378]) ).
tff(f6268,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),l,arrow_1985332922le_Lin)
| spl86_39 ),
inference(resolution,[],[f5915,f403]) ).
tff(f6295,plain,
( $false
| ~ spl86_2
| spl86_39 ),
inference(forward_subsumption_resolution,[],[f6268,f472]) ).
tff(f6296,plain,
( ~ spl86_2
| spl86_39 ),
inference(avatar_contradiction_clause,[],[f6295]) ).
tff(f6419,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_28 ),
inference(superposition,[],[f6001,f991]) ).
tff(f6430,plain,
( ~ spl86_39
| spl86_28 ),
inference(avatar_split_clause,[],[f6419,f4871,f5914]) ).
tff(f6435,plain,
( spl86_5
| ~ spl86_36 ),
inference(avatar_split_clause,[],[f5340,f5172,f572]) ).
tff(f6454,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,arrow_1985332922le_Lin,l))
| spl86_2 ),
inference(resolution,[],[f475,f404]) ).
tff(f6455,plain,
( ~ spl86_39
| spl86_2 ),
inference(avatar_split_clause,[],[f6454,f471,f5914]) ).
tff(f6807,plain,
( ~ trans(arrow_411405190le_alt,l)
| ~ irrefl(arrow_411405190le_alt,l)
| ~ total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),l)
| spl86_39 ),
inference(resolution,[],[f5915,f1089]) ).
tff(f6835,definition,
( spl86_50
<=> total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),l) ),
introduced(definition,[new_symbols(definition,[spl86_50])],[avatar_definition]) ).
tff(f6836,plain,
( ~ total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),l)
| spl86_50 ),
inference(avatar_component_clause,[],[f6835]) ).
tff(f6838,definition,
( spl86_51
<=> irrefl(arrow_411405190le_alt,l) ),
introduced(definition,[new_symbols(definition,[spl86_51])],[avatar_definition]) ).
tff(f6839,plain,
( ~ irrefl(arrow_411405190le_alt,l)
| spl86_51 ),
inference(avatar_component_clause,[],[f6838]) ).
tff(f6841,definition,
( spl86_52
<=> trans(arrow_411405190le_alt,l) ),
introduced(definition,[new_symbols(definition,[spl86_52])],[avatar_definition]) ).
tff(f6842,plain,
( ~ trans(arrow_411405190le_alt,l)
| spl86_52 ),
inference(avatar_component_clause,[],[f6841]) ).
tff(f6843,plain,
( ~ spl86_50
| ~ spl86_51
| ~ spl86_52
| spl86_39 ),
inference(avatar_split_clause,[],[f6807,f5914,f6841,f6838,f6835]) ).
tff(f6869,plain,
( ~ total_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue),converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_50 ),
inference(resolution,[],[f6836,f287]) ).
tff(f6885,plain,
( ~ spl86_26
| spl86_50 ),
inference(avatar_split_clause,[],[f6869,f6835,f4865]) ).
tff(f6914,plain,
( ~ trans(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_52 ),
inference(resolution,[],[f6842,f380]) ).
tff(f6922,plain,
( ~ spl86_28
| spl86_52 ),
inference(avatar_split_clause,[],[f6914,f6841,f4871]) ).
tff(f6946,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,sK62(arrow_411405190le_alt,l),sK62(arrow_411405190le_alt,l)),l)
| spl86_51 ),
inference(resolution,[],[f6839,f375]) ).
tff(f7394,plain,
( ~ irrefl(arrow_411405190le_alt,converse(arrow_411405190le_alt,arrow_411405190le_alt,l))
| spl86_51 ),
inference(resolution,[],[f6946,f1270]) ).
tff(f7413,plain,
( ~ spl86_27
| spl86_51 ),
inference(avatar_split_clause,[],[f7394,f6838,f4868]) ).
tff(f7741,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_28 ),
inference(resolution,[],[f4872,f378]) ).
tff(f10462,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_28 ),
inference(superposition,[],[f7741,f991]) ).
tff(f10473,definition,
( spl86_93
<=> 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_93])],[avatar_definition]) ).
tff(f10474,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_93 ),
inference(avatar_component_clause,[],[f10473]) ).
tff(f10476,plain,
( ~ spl86_93
| spl86_28 ),
inference(avatar_split_clause,[],[f10462,f4871,f10473]) ).
tff(f10480,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
| ~ spl86_5 ),
inference(forward_subsumption_resolution,[],[f582,f452]) ).
tff(f10481,plain,
( $false
| ~ spl86_1
| ~ spl86_5 ),
inference(forward_subsumption_resolution,[],[f10480,f469]) ).
tff(f10482,plain,
( ~ spl86_1
| ~ spl86_5 ),
inference(avatar_contradiction_clause,[],[f10481]) ).
tff(f11471,plain,
( ~ pp(aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool,order_215145569der_on(arrow_411405190le_alt,combk(bool,arrow_411405190le_alt,fTrue)),converse(arrow_411405190le_alt,arrow_411405190le_alt,l)))
| spl86_26 ),
inference(resolution,[],[f4866,f376]) ).
tff(f11479,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_26 ),
inference(forward_demodulation,[],[f11471,f991]) ).
tff(f11481,plain,
( ~ spl86_93
| spl86_26 ),
inference(avatar_split_clause,[],[f11479,f4865,f10473]) ).
tff(f12613,plain,
( ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),converse(arrow_411405190le_alt,arrow_411405190le_alt,l),arrow_1985332922le_Lin)
| spl86_93 ),
inference(resolution,[],[f10474,f403]) ).
tff(f12642,plain,
( $false
| ~ spl86_1
| spl86_93 ),
inference(forward_subsumption_resolution,[],[f12613,f469]) ).
tff(f12643,plain,
( ~ spl86_1
| spl86_93 ),
inference(avatar_contradiction_clause,[],[f12642]) ).
cnf(s1,plain,
( spl86_1
| spl86_2 ),
inference(sat_conversion,[],[f473]) ).
cnf(s2,plain,
( ~ spl86_1
| ~ spl86_2 ),
inference(sat_conversion,[],[f476]) ).
cnf(s4,plain,
~ spl86_3,
inference(sat_conversion,[],[f493]) ).
cnf(s37,plain,
( spl86_1
| ~ spl86_26
| ~ spl86_27
| ~ spl86_28 ),
inference(sat_conversion,[],[f4873]) ).
cnf(s51,plain,
( ~ spl86_2
| spl86_26 ),
inference(sat_conversion,[],[f5108]) ).
cnf(s56,plain,
( spl86_27
| spl86_36 ),
inference(sat_conversion,[],[f5276]) ).
cnf(s65,plain,
( ~ spl86_2
| spl86_3
| spl86_27 ),
inference(sat_conversion,[],[f5934]) ).
cnf(s76,plain,
( ~ spl86_2
| spl86_39 ),
inference(sat_conversion,[],[f6296]) ).
cnf(s81,plain,
( spl86_28
| ~ spl86_39 ),
inference(sat_conversion,[],[f6430]) ).
cnf(s87,plain,
( spl86_5
| ~ spl86_36 ),
inference(sat_conversion,[],[f6435]) ).
cnf(s90,plain,
( spl86_2
| ~ spl86_39 ),
inference(sat_conversion,[],[f6455]) ).
cnf(s95,plain,
( spl86_39
| ~ spl86_50
| ~ spl86_51
| ~ spl86_52 ),
inference(sat_conversion,[],[f6843]) ).
cnf(s99,plain,
( ~ spl86_26
| spl86_50 ),
inference(sat_conversion,[],[f6885]) ).
cnf(s100,plain,
( ~ spl86_28
| spl86_52 ),
inference(sat_conversion,[],[f6922]) ).
cnf(s109,plain,
( ~ spl86_27
| spl86_51 ),
inference(sat_conversion,[],[f7413]) ).
cnf(s169,plain,
( spl86_28
| ~ spl86_93 ),
inference(sat_conversion,[],[f10476]) ).
cnf(s175,plain,
( ~ spl86_1
| ~ spl86_5 ),
inference(sat_conversion,[],[f10482]) ).
cnf(s192,plain,
( spl86_26
| ~ spl86_93 ),
inference(sat_conversion,[],[f11481]) ).
cnf(s198,plain,
( ~ spl86_1
| spl86_93 ),
inference(sat_conversion,[],[f12643]) ).
cnf(s218,plain,
spl86_1,
inference(rat,[],[s37,s81,s51,s65,s76,s1,s4]) ).
cnf(s219,plain,
spl86_93,
inference(rat,[],[s198,s218]) ).
cnf(s220,plain,
~ spl86_5,
inference(rat,[],[s175,s218]) ).
cnf(s222,plain,
~ spl86_2,
inference(rat,[],[s2,s218]) ).
cnf(s223,plain,
spl86_26,
inference(rat,[],[s192,s219]) ).
cnf(s224,plain,
spl86_28,
inference(rat,[],[s169,s219]) ).
cnf(s225,plain,
~ spl86_36,
inference(rat,[],[s87,s220]) ).
cnf(s226,plain,
~ spl86_39,
inference(rat,[],[s90,s222]) ).
cnf(s227,plain,
spl86_50,
inference(rat,[],[s99,s223]) ).
cnf(s228,plain,
spl86_52,
inference(rat,[],[s100,s224]) ).
cnf(s229,plain,
spl86_27,
inference(rat,[],[s56,s225]) ).
cnf(s231,plain,
~ spl86_51,
inference(rat,[],[s95,s228,s227,s226]) ).
cnf(s233,plain,
$false,
inference(rat,[],[s109,s231,s229]) ).
tff(f12646,plain,
$false,
inference(avatar_sat_refutation,[],[s233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SCT175_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 23:57:19 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.39/1.36 % (2883085)Will run a generic schedule for satisfiability detection.
% 6.39/1.36 % (2883091)% WARNING: option uhcvi not known.
% 6.39/1.36 % (2883091)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2585694371:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.39/1.36 % (2883095)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3027231876:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.39/1.36 % (2883090)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3761388667_2999 on theBenchmark for (2999ds/0Mi)
% 6.39/1.36 % (2883092)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=675565728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.39/1.36 % (2883093)dis+10_1_sil=32000:sp=arity:random_seed=2340481469:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.39/1.36 % (2883094)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2551047029:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.39/1.36 % (2883096)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=307088125:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.39/1.36 % Exception at run slice level
% 6.39/1.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.39/1.36 % (2883104)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=626798826:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.39/1.36 % Exception at run slice level
% 6.39/1.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.39/1.36 % (2883106)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=79182952:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.39/1.36 % (2883093)Instruction limit reached!
% 6.39/1.36 % (2883093)------------------------------
% 6.39/1.36 % (2883093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.36 % (2883093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.36 % (2883093)CaDiCaL version: 2.1.3
% 6.39/1.36 % (2883093)Termination reason: Instruction limit
% 6.39/1.36 % (2883093)Termination phase: Saturation
% 6.39/1.36 % (2883093)Time elapsed: 0.034 s
% 6.39/1.36 % (2883093)Peak memory usage: 12 MB
% 6.39/1.36 % (2883093)Instructions burned: 105 (million)
% 6.39/1.36 % (2883094)Instruction limit reached!
% 6.39/1.36 % (2883094)------------------------------
% 6.39/1.36 % (2883094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.36 % (2883094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.36 % (2883094)CaDiCaL version: 2.1.3
% 6.39/1.36 % (2883094)Termination reason: Instruction limit
% 6.39/1.36 % (2883094)Termination phase: Saturation
% 6.39/1.36 % (2883094)Time elapsed: 0.038 s
% 6.39/1.36 % (2883094)Peak memory usage: 12 MB
% 6.39/1.36 % (2883094)Instructions burned: 118 (million)
% 6.39/1.36 % (2883095)Instruction limit reached!
% 6.39/1.36 % (2883095)------------------------------
% 6.39/1.36 % (2883095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.36 % (2883095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.36 % (2883095)CaDiCaL version: 2.1.3
% 6.39/1.36 % (2883095)Termination reason: Instruction limit
% 6.39/1.36 % (2883095)Termination phase: Saturation
% 6.39/1.36 % (2883095)Time elapsed: 0.044 s
% 6.39/1.36 % (2883095)Peak memory usage: 12 MB
% 6.39/1.36 % (2883095)Instructions burned: 133 (million)
% 6.39/1.36 % (2883109)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=867890595:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.39/1.36 % (2883112)ott-21_1_sil=16000:fs=off:random_seed=4143044143:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 6.39/1.36 % (2883096)Instruction limit reached!
% 6.39/1.36 % (2883096)------------------------------
% 6.39/1.36 % (2883096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.36 % (2883096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.36 % (2883096)CaDiCaL version: 2.1.3
% 6.39/1.36 % (2883096)Termination reason: Instruction limit
% 6.39/1.36 % (2883096)Termination phase: Saturation
% 6.39/1.36 % (2883096)Time elapsed: 0.051 s
% 6.39/1.36 % (2883096)Peak memory usage: 13 MB
% 6.39/1.36 % (2883096)Instructions burned: 169 (million)
% 6.39/1.36 % (2883114)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2030210761:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 7.29/1.56 % (2883118)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2287153709:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883106)Instruction limit reached!
% 7.29/1.56 % (2883106)------------------------------
% 7.29/1.56 % (2883106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883106)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883106)Termination reason: Instruction limit
% 7.29/1.56 % (2883106)Termination phase: Saturation
% 7.29/1.56 % (2883106)Time elapsed: 0.053 s
% 7.29/1.56 % (2883106)Peak memory usage: 13 MB
% 7.29/1.56 % (2883106)Instructions burned: 132 (million)
% 7.29/1.56 % (2883129)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3568897519:i=1179_2999 on theBenchmark for (2999ds/1179Mi)
% 7.29/1.56 % (2883137)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3598115527:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883112)Instruction limit reached!
% 7.29/1.56 % (2883112)------------------------------
% 7.29/1.56 % (2883112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883112)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883112)Termination reason: Instruction limit
% 7.29/1.56 % (2883112)Termination phase: Saturation
% 7.29/1.56 % (2883112)Time elapsed: 0.067 s
% 7.29/1.56 % (2883112)Peak memory usage: 12 MB
% 7.29/1.56 % (2883112)Instructions burned: 181 (million)
% 7.29/1.56 % (2883150)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1836220124:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 7.29/1.56 % (2883151)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1993142696:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 7.29/1.56 % (2883114)Instruction limit reached!
% 7.29/1.56 % (2883114)------------------------------
% 7.29/1.56 % (2883114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883114)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883114)Termination reason: Instruction limit
% 7.29/1.56 % (2883114)Termination phase: Saturation
% 7.29/1.56 % (2883114)Time elapsed: 0.246 s
% 7.29/1.56 % (2883114)Peak memory usage: 13 MB
% 7.29/1.56 % (2883114)Instructions burned: 478 (million)
% 7.29/1.56 % (2883171)fmb+10_1_sil=64000:random_seed=2443651749:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 7.29/1.56 % (2883171)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883173)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=389158858:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 7.29/1.56 % (2883109)Instruction limit reached!
% 7.29/1.56 % (2883109)------------------------------
% 7.29/1.56 % (2883109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883109)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883109)Termination reason: Instruction limit
% 7.29/1.56 % (2883109)Termination phase: Saturation
% 7.29/1.56 % (2883109)Time elapsed: 0.287 s
% 7.29/1.56 % (2883109)Peak memory usage: 15 MB
% 7.29/1.56 % (2883109)Instructions burned: 684 (million)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883175)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1862224117:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.29/1.56 % (2883176)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=778600967:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883179)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1527015093:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 7.29/1.56 % (2883179)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.29/1.56 % (2883151)Instruction limit reached!
% 7.29/1.56 % (2883151)------------------------------
% 7.29/1.56 % (2883151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883151)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883151)Termination reason: Instruction limit
% 7.29/1.56 % (2883151)Termination phase: Saturation
% 7.29/1.56 % (2883151)Time elapsed: 0.369 s
% 7.29/1.56 % (2883151)Peak memory usage: 19 MB
% 7.29/1.56 % (2883151)Instructions burned: 882 (million)
% 7.29/1.56 % (2883150)Instruction limit reached!
% 7.29/1.56 % (2883150)------------------------------
% 7.29/1.56 % (2883150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883150)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883150)Termination reason: Instruction limit
% 7.29/1.56 % (2883150)Termination phase: Saturation
% 7.29/1.56 % (2883150)Time elapsed: 0.377 s
% 7.29/1.56 % (2883150)Peak memory usage: 16 MB
% 7.29/1.56 % (2883150)Instructions burned: 693 (million)
% 7.29/1.56 % (2883192)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3312945807:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883193)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3799050437:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.29/1.56 % (2883195)ott-2_1_sil=16000:newcnf=on:random_seed=1920095962:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883198)ott+10_1_sil=32000:tgt=ground:random_seed=622584739:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 7.29/1.56 % (2883129)Instruction limit reached!
% 7.29/1.56 % (2883129)------------------------------
% 7.29/1.56 % (2883129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883129)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883129)Termination reason: Instruction limit
% 7.29/1.56 % (2883129)Termination phase: Saturation
% 7.29/1.56 % (2883129)Time elapsed: 0.558 s
% 7.29/1.56 % (2883129)Peak memory usage: 20 MB
% 7.29/1.56 % (2883129)Instructions burned: 1180 (million)
% 7.29/1.56 % (2883206)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3959286987:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 7.29/1.56 % Exception at run slice level
% 7.29/1.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.29/1.56 % (2883208)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2299785934:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 7.29/1.56 % (2883195)Instruction limit reached!
% 7.29/1.56 % (2883195)------------------------------
% 7.29/1.56 % (2883195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883195)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883195)Termination reason: Instruction limit
% 7.29/1.56 % (2883195)Termination phase: Saturation
% 7.29/1.56 % (2883195)Time elapsed: 0.382 s
% 7.29/1.56 % (2883195)Peak memory usage: 14 MB
% 7.29/1.56 % (2883195)Instructions burned: 869 (million)
% 7.29/1.56 % (2883216)dis+21_1_sil=32000:sas=cadical:random_seed=3611640270:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 7.29/1.56 % (2883179)Instruction limit reached!
% 7.29/1.56 % (2883179)------------------------------
% 7.29/1.56 % (2883179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.56 % (2883179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.56 % (2883179)CaDiCaL version: 2.1.3
% 7.29/1.56 % (2883179)Termination reason: Instruction limit
% 7.29/1.56 % (2883179)Termination phase: Saturation
% 7.29/1.56 % (2883179)Time elapsed: 0.627 s
% 7.29/1.56 % (2883179)Peak memory usage: 16 MB
% 7.29/1.56 % (2883179)Instructions burned: 1473 (million)
% 7.29/1.56 % (2883218)ott+11_1_sil=16000:gs=on:random_seed=2700438507:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 7.29/1.56 % (2883208) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2883085-2883208"...
% 7.29/1.56 % (2883208)...printing done.
% 7.29/1.56 % (2883208)Refutation found. Thanks to Tanya!
% 7.29/1.56 % SZS status Theorem for theBenchmark
% 7.29/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 7.29/1.57 % (2883208)------------------------------
% 7.29/1.57 % (2883208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.57 % (2883208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.57 % (2883208)CaDiCaL version: 2.1.3
% 7.29/1.57 % (2883208)Termination reason: Refutation
% 7.29/1.57 % (2883208)Time elapsed: 0.501 s
% 7.29/1.57 % (2883208)Peak memory usage: 18 MB
% 7.29/1.57 % (2883208)Instructions burned: 1015 (million)
% 7.29/1.57 % (2883085)Success in time 1.224 s
% 7.29/1.57 % Vampire exiting
%------------------------------------------------------------------------------