TSTP Solution File: SCT189_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT189_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:49:32 EDT 2024
% Result : Theorem 1.89s 0.94s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 144
% Syntax : Number of formulae : 393 ( 14 unt; 108 typ; 0 def)
% Number of atoms : 1250 ( 424 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 1568 ( 603 ~; 688 |; 243 &)
% ( 23 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 147 ( 92 >; 55 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 25 prp; 0-5 aty)
% Number of functors : 97 ( 97 usr; 11 con; 0-7 aty)
% Number of variables : 598 ( 285 !; 32 ?; 598 :)
% ( 281 !>; 0 ?*; 0 @-; 0 @+)
% 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,
arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_2,type,
arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_3,type,
arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_4,type,
arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_5,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_6,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_7,type,
product_apfst:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).
tff(func_def_8,type,
product_apsnd:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X2,X0) ) > product_prod(X2,X1) ) ).
tff(func_def_9,type,
product_curry:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).
tff(func_def_10,type,
product_fst:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_11,type,
produc1605651328_split:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_12,type,
product_prod_case:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_13,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_14,type,
product_scomp:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3)) ) > fun(X0,X3) ) ).
tff(func_def_15,type,
product_snd:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_16,type,
lex_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(product_prod(X1,X1),bool) ) > fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) ) ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
l: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).
tff(func_def_21,type,
x: arrow_411405190le_alt ).
tff(func_def_22,type,
y: arrow_411405190le_alt ).
tff(func_def_23,type,
sK6: arrow_411405190le_alt ).
tff(func_def_24,type,
sK7: arrow_411405190le_alt ).
tff(func_def_25,type,
sK8: ( arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_411405190le_alt ).
tff(func_def_26,type,
sK9: arrow_411405190le_alt > arrow_411405190le_alt ).
tff(func_def_27,type,
sK10: arrow_411405190le_alt ).
tff(func_def_28,type,
sK11: arrow_411405190le_alt ).
tff(func_def_29,type,
sK12: arrow_411405190le_alt ).
tff(func_def_30,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_31,type,
sK14:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X0 ) ).
tff(func_def_32,type,
sK15:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,fun(X1,bool))) * X1 ) > X2 ) ).
tff(func_def_33,type,
sK16:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_34,type,
sK17:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,fun(X0,bool))) * X0 * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_35,type,
sK18:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_36,type,
sK19:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_37,type,
sK20:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_38,type,
sK21:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_39,type,
sK22:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_40,type,
sK23:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_41,type,
sK24:
!>[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_42,type,
sK25:
!>[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_43,type,
sK26:
!>[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_44,type,
sK27:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_45,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))))) > X4 ) ).
tff(func_def_46,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))))) > X5 ) ).
tff(func_def_47,type,
sK30:
!>[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_48,type,
sK31:
!>[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_49,type,
sK32:
!>[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_50,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_51,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_52,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_53,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_54,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_55,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_56,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_57,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_58,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_59,type,
sK42:
!>[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_60,type,
sK43:
!>[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_61,type,
sK44:
!>[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_62,type,
sK45:
!>[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_63,type,
sK46:
!>[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_64,type,
sK47:
!>[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_65,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_66,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_67,type,
sK50:
!>[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_68,type,
sK51:
!>[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_69,type,
sK52:
!>[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_70,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_71,type,
sK54:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_72,type,
sK55:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_73,type,
sK56:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_74,type,
sK57:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_75,type,
sK58:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_76,type,
sK59:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_77,type,
sK60:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_78,type,
sK61:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_79,type,
sK62:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_80,type,
sK63:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_81,type,
sK64:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_82,type,
sK65:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_83,type,
sK66:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X2 ) ).
tff(func_def_84,type,
sK67:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X2,fun(X1,X0)) * fun(X2,fun(X1,X0)) * product_prod(X2,X1) ) > X1 ) ).
tff(func_def_85,type,
sK68:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X0 ) ).
tff(func_def_86,type,
sK69:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X0,X2) * fun(X0,fun(X2,X1)) * fun(X1,bool) ) > X2 ) ).
tff(func_def_87,type,
sK70:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X1 ) ).
tff(func_def_88,type,
sK71:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * product_prod(X1,X0) * fun(X1,fun(X0,fun(X2,bool))) ) > X0 ) ).
tff(func_def_89,type,
sK72:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X0 ) ).
tff(func_def_90,type,
sK73:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 * fun(X0,fun(X1,fun(X2,bool))) * product_prod(X0,X1) ) > X1 ) ).
tff(func_def_91,type,
sK74:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X1 ) ).
tff(func_def_92,type,
sK75:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * product_prod(X1,X0) ) > X0 ) ).
tff(func_def_93,type,
sK76:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X0 ) ).
tff(func_def_94,type,
sK77:
!>[X0: $tType,X1: $tType] : ( ( product_prod(X0,X1) * fun(X0,fun(X1,bool)) ) > X1 ) ).
tff(pred_def_1,type,
in_rel:
!>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),bool) * X0 * X1 ) > $o ) ).
tff(pred_def_2,type,
refl:
!>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).
tff(pred_def_3,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_4,type,
pp: bool > $o ).
tff(pred_def_5,type,
sP0: ( arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_6,type,
sP1: ( arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_7,type,
sP2: ( arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_8,type,
sP3: ( arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(pred_def_9,type,
sP4: ( arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).
tff(f2240,plain,
$false,
inference(avatar_sat_refutation,[],[f446,f493,f524,f530,f546,f563,f692,f1043,f1106,f1108,f1110,f1320,f1329,f1412,f1427,f1615,f1631,f1663,f1917,f1984,f2013,f2111,f2123,f2141,f2239]) ).
tff(f2239,plain,
( spl78_4
| ~ spl78_9
| spl78_12
| ~ spl78_13 ),
inference(avatar_contradiction_clause,[],[f2238]) ).
tff(f2238,plain,
( $false
| spl78_4
| ~ spl78_9
| spl78_12
| ~ spl78_13 ),
inference(subsumption_resolution,[],[f2237,f545]) ).
tff(f545,plain,
( ( x != sK7 )
| spl78_12 ),
inference(avatar_component_clause,[],[f544]) ).
tff(f544,plain,
( spl78_12
<=> ( x = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_12])]) ).
tff(f2237,plain,
( ( x = sK7 )
| spl78_4
| ~ spl78_9
| ~ spl78_13 ),
inference(subsumption_resolution,[],[f2231,f562]) ).
tff(f562,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ~ spl78_13 ),
inference(avatar_component_clause,[],[f561]) ).
tff(f561,plain,
( spl78_13
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_13])]) ).
tff(f2231,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( x = sK7 )
| spl78_4
| ~ spl78_9 ),
inference(resolution,[],[f2226,f347]) ).
tff(f347,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ( X0 = X1 ) ),
inference(consistent_polarity_flipping,[],[f249]) ).
tff(f249,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ( X0 = X1 ) )
& ! [X2: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X2),l)
& ! [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt] :
( ! [X5: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X5),l)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X4),X5),l) )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) ) ),
inference(flattening,[],[f135]) ).
tff(f135,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ( X0 = X1 ) )
& ! [X2: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X2),l)
& ! [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt] :
( ! [X5: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X5),l)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X4),X5),l) )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) ) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( X0 != X1 )
=> ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) ) )
& ! [X2: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X2),l)
& ! [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l)
=> ! [X5: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X4),X5),l)
=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X5),l) ) ) ),
inference(rectify,[],[f97]) ).
tff(f97,axiom,
( ! [X42: arrow_411405190le_alt,X58: arrow_411405190le_alt] :
( ( X42 != X58 )
=> ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X58),X42),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X42),X58),l) ) )
& ! [X42: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X42),X42),l)
& ! [X42: arrow_411405190le_alt,X58: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X42),X58),l)
=> ! [X59: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X58),X59),l)
=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X42),X59),l) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f2226,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| spl78_4
| ~ spl78_9 ),
inference(subsumption_resolution,[],[f2225,f2149]) ).
tff(f2149,plain,
( ( sK6 != sK7 )
| spl78_4 ),
inference(subsumption_resolution,[],[f358,f427]) ).
tff(f427,plain,
( ~ sP5
| spl78_4 ),
inference(avatar_component_clause,[],[f426]) ).
tff(f426,plain,
( spl78_4
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl78_4])]) ).
tff(f358,plain,
( ( sK6 != sK7 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f250]) ).
tff(f250,plain,
( ( sK6 != sK7 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
( ( ( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ( y != sK7 ) )
& ( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( y != sK6 ) )
& ( ( y = sK6 )
| ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),sK6),l) )
& ( ( y != sK6 )
| ( x != sK7 ) )
& ( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y != sK6 ) )
& ( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y != sK7 ) )
& ( ( y = sK7 )
| ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),sK7),l) )
& ( ( y != sK7 )
| ( x != sK6 ) )
& ( sK6 != sK7 ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f172,f173]) ).
tff(f173,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
& ( ( y != X0 )
| ( x != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X1),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) )
& ( ( y != X1 )
| ( x != X0 ) )
& ( X0 != X1 ) )
=> ( ( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ( y != sK7 ) )
& ( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( y != sK6 ) )
& ( ( y = sK6 )
| ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),sK6),l) )
& ( ( y != sK6 )
| ( x != sK7 ) )
& ( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y != sK6 ) )
& ( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y != sK7 ) )
& ( ( y = sK7 )
| ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),sK7),l) )
& ( ( y != sK7 )
| ( x != sK6 ) )
& ( sK6 != sK7 ) ) ),
introduced(choice_axiom,[]) ).
tff(f172,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
& ( ( y != X0 )
| ( x != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X1),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) )
& ( ( y != X1 )
| ( x != X0 ) )
& ( X0 != X1 ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f170]) ).
tff(f170,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
& ( ( y != X0 )
| ( x != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X1),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) )
& ( ( y != X1 )
| ( x != X0 ) )
& ( X0 != X1 ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
tff(f2225,plain,
( ( sK6 = sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| spl78_4
| ~ spl78_9 ),
inference(forward_demodulation,[],[f2224,f492]) ).
tff(f492,plain,
( ( y = sK6 )
| ~ spl78_9 ),
inference(avatar_component_clause,[],[f491]) ).
tff(f491,plain,
( spl78_9
<=> ( y = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_9])]) ).
tff(f2224,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y = sK7 )
| spl78_4
| ~ spl78_9 ),
inference(subsumption_resolution,[],[f2143,f492]) ).
tff(f2143,plain,
( ( y != sK6 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y = sK7 )
| spl78_4 ),
inference(subsumption_resolution,[],[f354,f427]) ).
tff(f354,plain,
( ( y != sK6 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y = sK7 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f254]) ).
tff(f254,plain,
( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK7),l)
| ( y != sK6 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f2141,plain,
( spl78_4
| ~ spl78_51 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
tff(f2140,plain,
( $false
| spl78_4
| ~ spl78_51 ),
inference(subsumption_resolution,[],[f2139,f427]) ).
tff(f2139,plain,
( sP5
| ~ spl78_51 ),
inference(trivial_inequality_removal,[],[f2124]) ).
tff(f2124,plain,
( ( sK6 != sK6 )
| sP5
| ~ spl78_51 ),
inference(backward_demodulation,[],[f358,f2110]) ).
tff(f2110,plain,
( ( sK6 = sK7 )
| ~ spl78_51 ),
inference(avatar_component_clause,[],[f2109]) ).
tff(f2109,plain,
( spl78_51
<=> ( sK6 = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_51])]) ).
tff(f2123,plain,
( spl78_10
| ~ spl78_11
| ~ spl78_50 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
tff(f2122,plain,
( $false
| spl78_10
| ~ spl78_11
| ~ spl78_50 ),
inference(subsumption_resolution,[],[f2121,f523]) ).
tff(f523,plain,
( ( x != sK6 )
| spl78_10 ),
inference(avatar_component_clause,[],[f522]) ).
tff(f522,plain,
( spl78_10
<=> ( x = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_10])]) ).
tff(f2121,plain,
( ( x = sK6 )
| ~ spl78_11
| ~ spl78_50 ),
inference(subsumption_resolution,[],[f2116,f529]) ).
tff(f529,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ~ spl78_11 ),
inference(avatar_component_clause,[],[f528]) ).
tff(f528,plain,
( spl78_11
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_11])]) ).
tff(f2116,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ( x = sK6 )
| ~ spl78_50 ),
inference(resolution,[],[f2107,f347]) ).
tff(f2107,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ~ spl78_50 ),
inference(avatar_component_clause,[],[f2106]) ).
tff(f2106,plain,
( spl78_50
<=> member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_50])]) ).
tff(f2111,plain,
( spl78_50
| spl78_51
| spl78_4
| ~ spl78_8 ),
inference(avatar_split_clause,[],[f2104,f488,f426,f2109,f2106]) ).
tff(f488,plain,
( spl78_8
<=> ( y = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_8])]) ).
tff(f2104,plain,
( ( sK6 = sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| spl78_4
| ~ spl78_8 ),
inference(forward_demodulation,[],[f2103,f489]) ).
tff(f489,plain,
( ( y = sK7 )
| ~ spl78_8 ),
inference(avatar_component_clause,[],[f488]) ).
tff(f2103,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y = sK6 )
| spl78_4
| ~ spl78_8 ),
inference(subsumption_resolution,[],[f2102,f427]) ).
tff(f2102,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y = sK6 )
| sP5
| ~ spl78_8 ),
inference(subsumption_resolution,[],[f355,f489]) ).
tff(f355,plain,
( ( y != sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y = sK6 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f253]) ).
tff(f253,plain,
( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),x),l)
| ( y != sK7 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f2013,plain,
( spl78_40
| ~ spl78_49 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
tff(f2010,plain,
( $false
| spl78_40
| ~ spl78_49 ),
inference(resolution,[],[f1983,f1411]) ).
tff(f1411,plain,
( ~ sP1(sK10,sK11,y)
| spl78_40 ),
inference(avatar_component_clause,[],[f1410]) ).
tff(f1410,plain,
( spl78_40
<=> sP1(sK10,sK11,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_40])]) ).
tff(f1983,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP1(sK10,X0,X1)
| ~ spl78_49 ),
inference(avatar_component_clause,[],[f1982]) ).
tff(f1982,plain,
( spl78_49
<=> ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP1(sK10,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_49])]) ).
tff(f1984,plain,
( spl78_48
| spl78_49
| ~ spl78_1 ),
inference(avatar_split_clause,[],[f1980,f417,f1982,f1911]) ).
tff(f1911,plain,
( spl78_48
<=> ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] : sP1(X2,sK11,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_48])]) ).
tff(f417,plain,
( spl78_1
<=> sP4(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_1])]) ).
tff(f1980,plain,
( ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP1(sK10,X0,X1)
| sP1(X2,sK11,X3) )
| ~ spl78_1 ),
inference(resolution,[],[f1813,f418]) ).
tff(f418,plain,
( sP4(sK11,sK10)
| ~ spl78_1 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f1813,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ sP4(X3,X0)
| sP1(X0,X1,X2)
| sP1(X4,X3,X5) ),
inference(resolution,[],[f760,f374]) ).
tff(f374,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| sP1(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f276]) ).
tff(f276,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( x != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
& ( y = X2 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f185]) ).
tff(f185,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X6: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X6 ) )
| ~ sP1(X2,X3,X6) ),
inference(nnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X6: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X6 ) )
| ~ sP1(X2,X3,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f760,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP1(X1,X2,X3)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f589,f362]) ).
tff(f362,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| ~ sP4(X0,X1) ),
inference(consistent_polarity_flipping,[],[f259]) ).
tff(f259,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( sP1(X1,X0,sK8(X0,X1))
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),sK8(X0,X1)),l)
& ( y != sK8(X0,X1) )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK8(X0,X1)),l) )
| sP0(X1,sK8(X0,X1),X0) )
& ( y != X0 )
& ( y != X1 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f176,f177]) ).
tff(f177,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ? [X2: arrow_411405190le_alt] :
( sP1(X1,X0,X2)
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X2),l) )
| sP0(X1,X2,X0) )
=> ( sP1(X1,X0,sK8(X0,X1))
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),sK8(X0,X1)),l)
& ( y != sK8(X0,X1) )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK8(X0,X1)),l) )
| sP0(X1,sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f176,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ? [X2: arrow_411405190le_alt] :
( sP1(X1,X0,X2)
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X2),l) )
| sP0(X1,X2,X0) )
& ( y != X0 )
& ( y != X1 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f175]) ).
tff(f175,plain,
! [X3: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ? [X6: arrow_411405190le_alt] :
( sP1(X2,X3,X6)
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X6),l)
& ( y != X6 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X6),l) )
| sP0(X2,X6,X3) )
& ( y != X3 )
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X3),l) )
| ~ sP4(X3,X2) ),
inference(nnf_transformation,[],[f169]) ).
tff(f169,plain,
! [X3: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ? [X6: arrow_411405190le_alt] :
( sP1(X2,X3,X6)
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X6),l)
& ( y != X6 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X6),l) )
| sP0(X2,X6,X3) )
& ( y != X3 )
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X3),l) )
| ~ sP4(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f589,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP1(X1,X2,X3) ),
inference(resolution,[],[f349,f372]) ).
tff(f372,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP1(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f278]) ).
tff(f278,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tff(f349,plain,
! [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X5),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X4),X5),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) ),
inference(consistent_polarity_flipping,[],[f247]) ).
tff(f247,plain,
! [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X5),l)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X4),X5),l)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) ),
inference(cnf_transformation,[],[f136]) ).
tff(f1917,plain,
( spl78_40
| ~ spl78_48 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
tff(f1916,plain,
( $false
| spl78_40
| ~ spl78_48 ),
inference(resolution,[],[f1912,f1411]) ).
tff(f1912,plain,
( ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] : sP1(X2,sK11,X3)
| ~ spl78_48 ),
inference(avatar_component_clause,[],[f1911]) ).
tff(f1663,plain,
( ~ spl78_1
| ~ spl78_18
| ~ spl78_46 ),
inference(avatar_contradiction_clause,[],[f1662]) ).
tff(f1662,plain,
( $false
| ~ spl78_1
| ~ spl78_18
| ~ spl78_46 ),
inference(subsumption_resolution,[],[f1658,f1553]) ).
tff(f1553,plain,
( sP4(x,sK10)
| ~ spl78_1
| ~ spl78_18 ),
inference(backward_demodulation,[],[f418,f1031]) ).
tff(f1031,plain,
( ( x = sK11 )
| ~ spl78_18 ),
inference(avatar_component_clause,[],[f1030]) ).
tff(f1030,plain,
( spl78_18
<=> ( x = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_18])]) ).
tff(f1658,plain,
( ~ sP4(x,sK10)
| ~ spl78_46 ),
inference(resolution,[],[f1614,f922]) ).
tff(f922,plain,
! [X0: arrow_411405190le_alt] :
( ~ sP0(X0,sK8(x,X0),x)
| ~ sP4(x,X0) ),
inference(resolution,[],[f906,f450]) ).
tff(f450,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP1(X0,x,X1),
inference(resolution,[],[f348,f374]) ).
tff(f348,plain,
! [X2: arrow_411405190le_alt] : member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X2),l),
inference(consistent_polarity_flipping,[],[f248]) ).
tff(f248,plain,
! [X2: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X2),l),
inference(cnf_transformation,[],[f136]) ).
tff(f906,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ sP1(X0,X1,sK8(X1,X0))
| ~ sP0(X0,sK8(X1,X0),X1)
| ~ sP4(X1,X0) ),
inference(subsumption_resolution,[],[f905,f362]) ).
tff(f905,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ~ sP1(X0,X1,sK8(X1,X0))
| ~ sP0(X0,sK8(X1,X0),X1)
| ~ sP4(X1,X0) ),
inference(duplicate_literal_removal,[],[f874]) ).
tff(f874,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ~ sP1(X0,X1,sK8(X1,X0))
| ~ sP0(X0,sK8(X1,X0),X1)
| ~ sP4(X1,X0)
| ~ sP1(X0,X1,sK8(X1,X0))
| ~ sP0(X0,sK8(X1,X0),X1)
| ~ sP4(X1,X0) ),
inference(resolution,[],[f587,f361]) ).
tff(f361,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK8(X0,X1)),l)
| ~ sP1(X1,X0,sK8(X0,X1))
| ~ sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(consistent_polarity_flipping,[],[f262]) ).
tff(f262,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP1(X1,X0,sK8(X0,X1))
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK8(X0,X1)),l)
| sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f587,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK8(X1,X2)),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X0),l)
| ~ sP1(X2,X1,sK8(X1,X2))
| ~ sP0(X2,sK8(X1,X2),X1)
| ~ sP4(X1,X2) ),
inference(resolution,[],[f349,f359]) ).
tff(f359,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),sK8(X0,X1)),l)
| ~ sP1(X1,X0,sK8(X0,X1))
| ~ sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(consistent_polarity_flipping,[],[f264]) ).
tff(f264,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP1(X1,X0,sK8(X0,X1))
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),sK8(X0,X1)),l)
| sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f1614,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP0(sK10,X0,X1)
| ~ spl78_46 ),
inference(avatar_component_clause,[],[f1613]) ).
tff(f1613,plain,
( spl78_46
<=> ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP0(sK10,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_46])]) ).
tff(f1631,plain,
( ~ spl78_1
| ~ spl78_18
| ~ spl78_34 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
tff(f1630,plain,
( $false
| ~ spl78_1
| ~ spl78_18
| ~ spl78_34 ),
inference(subsumption_resolution,[],[f1626,f927]) ).
tff(f927,plain,
! [X0: arrow_411405190le_alt] : ~ sP4(X0,x),
inference(subsumption_resolution,[],[f921,f377]) ).
tff(f377,plain,
! [X2: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP0(x,X1,X2),
inference(consistent_polarity_flipping,[],[f341]) ).
tff(f341,plain,
! [X2: arrow_411405190le_alt,X1: arrow_411405190le_alt] : ~ sP0(x,X1,X2),
inference(equality_resolution,[],[f281]) ).
tff(f281,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( x != X0 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( x != X0 )
& ( y = X1 )
& ( x = X2 ) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f187]) ).
tff(f187,plain,
! [X2: arrow_411405190le_alt,X6: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& ( y = X6 )
& ( x = X3 ) )
| ~ sP0(X2,X6,X3) ),
inference(nnf_transformation,[],[f165]) ).
tff(f165,plain,
! [X2: arrow_411405190le_alt,X6: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& ( y = X6 )
& ( x = X3 ) )
| ~ sP0(X2,X6,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f921,plain,
! [X0: arrow_411405190le_alt] :
( ~ sP0(x,sK8(X0,x),X0)
| ~ sP4(X0,x) ),
inference(resolution,[],[f906,f373]) ).
tff(f373,plain,
! [X2: arrow_411405190le_alt,X1: arrow_411405190le_alt] : sP1(x,X1,X2),
inference(consistent_polarity_flipping,[],[f340]) ).
tff(f340,plain,
! [X2: arrow_411405190le_alt,X1: arrow_411405190le_alt] : ~ sP1(x,X1,X2),
inference(equality_resolution,[],[f277]) ).
tff(f277,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( x != X0 )
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tff(f1626,plain,
( sP4(x,x)
| ~ spl78_1
| ~ spl78_18
| ~ spl78_34 ),
inference(backward_demodulation,[],[f1553,f1375]) ).
tff(f1375,plain,
( ( x = sK10 )
| ~ spl78_34 ),
inference(avatar_component_clause,[],[f1374]) ).
tff(f1374,plain,
( spl78_34
<=> ( x = sK10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_34])]) ).
tff(f1615,plain,
( spl78_46
| spl78_34
| ~ spl78_1
| ~ spl78_18 ),
inference(avatar_split_clause,[],[f1565,f1030,f417,f1374,f1613]) ).
tff(f1565,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( x = sK10 )
| sP0(sK10,X0,X1) )
| ~ spl78_1
| ~ spl78_18 ),
inference(resolution,[],[f1553,f979]) ).
tff(f979,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ sP4(x,X0)
| ( x = X0 )
| sP0(X0,X1,X2) ),
inference(resolution,[],[f603,f471]) ).
tff(f471,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ( x = X0 )
| sP0(X0,X1,X2) ),
inference(resolution,[],[f347,f376]) ).
tff(f376,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP0(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f282]) ).
tff(f282,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
tff(f603,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ~ sP4(X0,X1) ),
inference(resolution,[],[f590,f362]) ).
tff(f590,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) ),
inference(resolution,[],[f349,f348]) ).
tff(f1427,plain,
( spl78_18
| spl78_39 ),
inference(avatar_split_clause,[],[f1416,f1407,f1030]) ).
tff(f1407,plain,
( spl78_39
<=> sP0(sK10,y,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_39])]) ).
tff(f1416,plain,
( ( x = sK11 )
| spl78_39 ),
inference(resolution,[],[f1408,f379]) ).
tff(f379,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP0(X0,X1,X2)
| ( x = X2 ) ),
inference(consistent_polarity_flipping,[],[f279]) ).
tff(f279,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( x = X2 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
tff(f1408,plain,
( ~ sP0(sK10,y,sK11)
| spl78_39 ),
inference(avatar_component_clause,[],[f1407]) ).
tff(f1412,plain,
( ~ spl78_39
| ~ spl78_40
| ~ spl78_1 ),
inference(avatar_split_clause,[],[f1354,f417,f1410,f1407]) ).
tff(f1354,plain,
( ~ sP1(sK10,sK11,y)
| ~ sP0(sK10,y,sK11)
| ~ spl78_1 ),
inference(subsumption_resolution,[],[f1352,f418]) ).
tff(f1352,plain,
( ~ sP1(sK10,sK11,y)
| ~ sP0(sK10,y,sK11)
| ~ sP4(sK11,sK10)
| ~ spl78_1 ),
inference(trivial_inequality_removal,[],[f1341]) ).
tff(f1341,plain,
( ( y != y )
| ~ sP1(sK10,sK11,y)
| ~ sP0(sK10,y,sK11)
| ~ sP4(sK11,sK10)
| ~ spl78_1 ),
inference(superposition,[],[f360,f1332]) ).
tff(f1332,plain,
( ( y = sK8(sK11,sK10) )
| ~ spl78_1 ),
inference(resolution,[],[f418,f929]) ).
tff(f929,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ sP4(X1,X0)
| ( y = sK8(X1,X0) ) ),
inference(subsumption_resolution,[],[f925,f378]) ).
tff(f378,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP0(X0,X1,X2)
| ( y = X1 ) ),
inference(consistent_polarity_flipping,[],[f280]) ).
tff(f280,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y = X1 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
tff(f925,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ sP0(X0,sK8(X1,X0),X1)
| ~ sP4(X1,X0)
| ( y = sK8(X1,X0) ) ),
inference(resolution,[],[f906,f375]) ).
tff(f375,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP1(X0,X1,X2)
| ( y = X2 ) ),
inference(consistent_polarity_flipping,[],[f275]) ).
tff(f275,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y = X2 )
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tff(f360,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y != sK8(X0,X1) )
| ~ sP1(X1,X0,sK8(X0,X1))
| ~ sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(consistent_polarity_flipping,[],[f263]) ).
tff(f263,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP1(X1,X0,sK8(X0,X1))
| ( y != sK8(X0,X1) )
| sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f1329,plain,
( spl78_1
| spl78_22
| ~ spl78_3
| ~ spl78_4 ),
inference(avatar_split_clause,[],[f1117,f426,f423,f1120,f417]) ).
tff(f1120,plain,
( spl78_22
<=> ( y = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_22])]) ).
tff(f423,plain,
( spl78_3
<=> sP3(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_3])]) ).
tff(f1117,plain,
( ~ sP3(sK11,sK10)
| ( y = sK11 )
| sP4(sK11,sK10)
| ~ spl78_4 ),
inference(subsumption_resolution,[],[f385,f486]) ).
tff(f486,plain,
( sP5
| ~ spl78_4 ),
inference(avatar_component_clause,[],[f426]) ).
tff(f385,plain,
( ~ sP5
| ~ sP3(sK11,sK10)
| ( y = sK11 )
| sP4(sK11,sK10) ),
inference(consistent_polarity_flipping,[],[f283]) ).
tff(f283,plain,
( sP5
| sP3(sK11,sK10)
| ( y = sK11 )
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f192]) ).
tff(f192,plain,
( sP5
| sP3(sK11,sK10)
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
& ( y != sK12 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
& ( y != sK10 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
& ( y = sK11 ) )
| sP4(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f189,f191,f190]) ).
tff(f190,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(X1,X0)
| ( ? [X2: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X2),l) )
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = X1 ) )
| sP4(X1,X0) )
=> ( sP3(sK11,sK10)
| ( ? [X2: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X2),l) )
& ( y != sK10 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
& ( y = sK11 ) )
| sP4(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
tff(f191,plain,
( ? [X2: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X2),l) )
=> ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
& ( y != sK12 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l) ) ),
introduced(choice_axiom,[]) ).
tff(f189,plain,
( sP5
| ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(X1,X0)
| ( ? [X2: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X2),l)
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X2),l) )
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = X1 ) )
| sP4(X1,X0) ) ),
inference(rectify,[],[f171]) ).
tff(f171,plain,
( sP5
| ? [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( sP3(X3,X2)
| ( ? [X5: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X5),l)
& ( y != X5 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X5),l) )
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( y = X3 ) )
| sP4(X3,X2) ) ),
inference(definition_folding,[],[f137,f170,f169,f168,f167,f166,f165]) ).
tff(f167,plain,
! [X4: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X4),l)
& ( y != X4 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) )
| ~ sP2(X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f168,plain,
! [X3: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ? [X4: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X4 ) )
| sP2(X4,X3)
| ( ( y = X4 )
& ( x = X3 ) ) )
& ( y != X3 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X3),l)
& ( y = X2 ) )
| ~ sP3(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f137,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
& ( ( y != X0 )
| ( x != X1 ) )
& ( ( y = X1 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X1),l)
| ( y != X0 ) )
& ( ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| ( y != X1 ) )
& ( ( y = X1 )
| ( y = X0 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) )
& ( ( y != X1 )
| ( x != X0 ) )
& ( X0 != X1 ) )
| ? [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ? [X4: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X4 ) )
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X4),l)
& ( y != X4 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) )
| ( ( y = X4 )
& ( x = X3 ) ) )
& ( y != X3 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X3),l)
& ( y = X2 ) )
| ( ? [X5: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X5),l)
& ( y != X5 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X5),l) )
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( y = X3 ) )
| ( ? [X6: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X6 ) )
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X6),l)
& ( y != X6 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X6),l) )
| ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
& ( x != X2 )
& ( y = X6 )
& ( x = X3 ) ) )
& ( y != X3 )
& ( y != X2 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X3),l) ) ) ),
inference(ennf_transformation,[],[f101]) ).
tff(f101,plain,
~ ( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
& ( y = X1 ) )
| ( ( y != X1 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),x),l)
& ( y = X0 ) )
| ( ( y != X0 )
& ( y != X1 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
| ( ( y = X0 )
& ( x = X1 ) )
| ( ( y != X1 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X1),l)
& ( y = X0 ) )
| ( ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = X1 ) )
| ( ( y != X1 )
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l) )
| ( ( y = X1 )
& ( x = X0 ) )
| ( X0 = X1 ) )
& ! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ! [X4: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
| ( y != X4 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X4),l)
| ( y = X4 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) )
& ( ( y != X4 )
| ( x != X3 ) ) )
| ( y = X3 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X3),l)
| ( y != X2 ) )
& ( ! [X5: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X5),l)
| ( y = X5 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X5),l) )
| ( y = X2 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
| ( y != X3 ) )
& ( ! [X6: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
| ( x = X2 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
| ( y != X6 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X6),l)
| ( y = X6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X6),l) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),x),l)
| ( x = X2 )
| ( y != X6 )
| ( x != X3 ) ) )
| ( y = X3 )
| ( y = X2 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X2),X3),l) ) ) ),
inference(rectify,[],[f99]) ).
tff(f99,negated_conjecture,
~ ( ! [X37: arrow_411405190le_alt,X38: arrow_411405190le_alt] :
( ( ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X37),l)
& ( y = X38 ) )
| ( ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
& ( y = X37 ) )
| ( ( y != X37 )
& ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X37),l) )
| ( ( y = X37 )
& ( x = X38 ) )
| ( ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X38),l)
& ( y = X37 ) )
| ( ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
& ( y = X38 ) )
| ( ( y != X38 )
& ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X38),l) )
| ( ( y = X38 )
& ( x = X37 ) )
| ( X37 = X38 ) )
& ! [X37: arrow_411405190le_alt,X38: arrow_411405190le_alt] :
( ( ! [X60: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
| ( y != X60 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X60),l) )
& ( ( y != X60 )
| ( x != X38 ) ) )
| ( y = X38 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X38),l)
| ( y != X37 ) )
& ( ! [X60: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X60),l) )
| ( y = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( y != X38 ) )
& ( ! [X60: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( x = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
| ( y != X60 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X60),l) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( x = X37 )
| ( y != X60 )
| ( x != X38 ) ) )
| ( y = X38 )
| ( y = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X38),l) ) ) ),
inference(negated_conjecture,[],[f98]) ).
tff(f98,conjecture,
( ! [X37: arrow_411405190le_alt,X38: arrow_411405190le_alt] :
( ( ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X37),l)
& ( y = X38 ) )
| ( ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
& ( y = X37 ) )
| ( ( y != X37 )
& ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X37),l) )
| ( ( y = X37 )
& ( x = X38 ) )
| ( ( y != X38 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X38),l)
& ( y = X37 ) )
| ( ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
& ( y = X38 ) )
| ( ( y != X38 )
& ( y != X37 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X38),l) )
| ( ( y = X38 )
& ( x = X37 ) )
| ( X37 = X38 ) )
& ! [X37: arrow_411405190le_alt,X38: arrow_411405190le_alt] :
( ( ! [X60: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
| ( y != X60 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X60),l) )
& ( ( y != X60 )
| ( x != X38 ) ) )
| ( y = X38 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X38),l)
| ( y != X37 ) )
& ( ! [X60: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X60),l) )
| ( y = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( y != X38 ) )
& ( ! [X60: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( x = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),x),l)
| ( y != X60 ) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X60),l)
| ( y = X60 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X38),X60),l) )
& ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),x),l)
| ( x = X37 )
| ( y != X60 )
| ( x != X38 ) ) )
| ( y = X38 )
| ( y = X37 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X37),X38),l) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f1320,plain,
( ~ spl78_4
| ~ spl78_22 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
tff(f1319,plain,
( $false
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1306,f1212]) ).
tff(f1212,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1211,f336]) ).
tff(f336,plain,
! [X1: arrow_411405190le_alt] : ~ sP4(y,X1),
inference(equality_resolution,[],[f261]) ).
tff(f261,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y != X0 )
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f1211,plain,
( sP4(y,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1210,f1121]) ).
tff(f1121,plain,
( ( y = sK11 )
| ~ spl78_22 ),
inference(avatar_component_clause,[],[f1120]) ).
tff(f1210,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1209,f367]) ).
tff(f367,plain,
! [X1: arrow_411405190le_alt] : sP3(y,X1),
inference(consistent_polarity_flipping,[],[f338]) ).
tff(f338,plain,
! [X1: arrow_411405190le_alt] : ~ sP3(y,X1),
inference(equality_resolution,[],[f267]) ).
tff(f267,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y != X0 )
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tff(f182,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = sK9(X0) ) )
| sP2(sK9(X0),X0)
| ( ( y = sK9(X0) )
& ( x = X0 ) ) )
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
& ( y = X1 ) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f180,f181]) ).
tff(f181,plain,
! [X0: arrow_411405190le_alt] :
( ? [X2: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = X2 ) )
| sP2(X2,X0)
| ( ( y = X2 )
& ( x = X0 ) ) )
=> ( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = sK9(X0) ) )
| sP2(sK9(X0),X0)
| ( ( y = sK9(X0) )
& ( x = X0 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f180,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ? [X2: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
& ( y = X2 ) )
| sP2(X2,X0)
| ( ( y = X2 )
& ( x = X0 ) ) )
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
& ( y = X1 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f179]) ).
tff(f179,plain,
! [X3: arrow_411405190le_alt,X2: arrow_411405190le_alt] :
( ( ? [X4: arrow_411405190le_alt] :
( ( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),x),l)
& ( y = X4 ) )
| sP2(X4,X3)
| ( ( y = X4 )
& ( x = X3 ) ) )
& ( y != X3 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X3),l)
& ( y = X2 ) )
| ~ sP3(X3,X2) ),
inference(nnf_transformation,[],[f168]) ).
tff(f1209,plain,
( ~ sP3(y,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1113,f1121]) ).
tff(f1113,plain,
( ~ sP3(sK11,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4 ),
inference(subsumption_resolution,[],[f382,f486]) ).
tff(f382,plain,
( ~ sP5
| ~ sP3(sK11,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| sP4(sK11,sK10) ),
inference(consistent_polarity_flipping,[],[f286]) ).
tff(f286,plain,
( sP5
| sP3(sK11,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f192]) ).
tff(f1306,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK12),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(resolution,[],[f1217,f1216]) ).
tff(f1216,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1215,f336]) ).
tff(f1215,plain,
( sP4(y,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1214,f1121]) ).
tff(f1214,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1213,f367]) ).
tff(f1213,plain,
( ~ sP3(y,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1111,f1121]) ).
tff(f1111,plain,
( ~ sP3(sK11,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| sP4(sK11,sK10)
| ~ spl78_4 ),
inference(subsumption_resolution,[],[f384,f486]) ).
tff(f384,plain,
( ~ sP5
| ~ sP3(sK11,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| sP4(sK11,sK10) ),
inference(consistent_polarity_flipping,[],[f284]) ).
tff(f284,plain,
( sP5
| sP3(sK11,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),x),l)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f192]) ).
tff(f1217,plain,
( ! [X0: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),sK12),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),X0),l) )
| ~ spl78_4
| ~ spl78_22 ),
inference(resolution,[],[f1208,f349]) ).
tff(f1208,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1207,f336]) ).
tff(f1207,plain,
( sP4(y,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1206,f1121]) ).
tff(f1206,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(subsumption_resolution,[],[f1205,f367]) ).
tff(f1205,plain,
( ~ sP3(y,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4
| ~ spl78_22 ),
inference(forward_demodulation,[],[f1115,f1121]) ).
tff(f1115,plain,
( ~ sP3(sK11,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| sP4(sK11,sK10)
| ~ spl78_4 ),
inference(subsumption_resolution,[],[f380,f486]) ).
tff(f380,plain,
( ~ sP5
| ~ sP3(sK11,sK10)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| sP4(sK11,sK10) ),
inference(consistent_polarity_flipping,[],[f288]) ).
tff(f288,plain,
( sP5
| sP3(sK11,sK10)
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK10),sK12),l)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f192]) ).
tff(f1110,plain,
( ~ spl78_7
| ~ spl78_20 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
tff(f1109,plain,
( $false
| ~ spl78_7
| ~ spl78_20 ),
inference(resolution,[],[f1102,f445]) ).
tff(f445,plain,
( sP2(sK9(sK11),sK11)
| ~ spl78_7 ),
inference(avatar_component_clause,[],[f444]) ).
tff(f444,plain,
( spl78_7
<=> sP2(sK9(sK11),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_7])]) ).
tff(f1102,plain,
( ! [X1: arrow_411405190le_alt] : ~ sP2(sK9(sK11),X1)
| ~ spl78_20 ),
inference(avatar_component_clause,[],[f1101]) ).
tff(f1101,plain,
( spl78_20
<=> ! [X1: arrow_411405190le_alt] : ~ sP2(sK9(sK11),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_20])]) ).
tff(f1108,plain,
( spl78_3
| ~ spl78_21 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
tff(f1107,plain,
( $false
| spl78_3
| ~ spl78_21 ),
inference(resolution,[],[f1105,f436]) ).
tff(f436,plain,
( ~ sP3(sK11,y)
| spl78_3 ),
inference(backward_demodulation,[],[f424,f433]) ).
tff(f433,plain,
( ( y = sK10 )
| spl78_3 ),
inference(resolution,[],[f424,f369]) ).
tff(f369,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(X0,X1)
| ( y = X1 ) ),
inference(consistent_polarity_flipping,[],[f265]) ).
tff(f265,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y = X1 )
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tff(f424,plain,
( ~ sP3(sK11,sK10)
| spl78_3 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f1105,plain,
( ! [X0: arrow_411405190le_alt] : sP3(sK11,X0)
| ~ spl78_21 ),
inference(avatar_component_clause,[],[f1104]) ).
tff(f1104,plain,
( spl78_21
<=> ! [X0: arrow_411405190le_alt] : sP3(sK11,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_21])]) ).
tff(f1106,plain,
( spl78_20
| spl78_21
| ~ spl78_7 ),
inference(avatar_split_clause,[],[f1099,f444,f1104,f1101]) ).
tff(f1099,plain,
( ! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(sK11,X0)
| ~ sP2(sK9(sK11),X1) )
| ~ spl78_7 ),
inference(resolution,[],[f1080,f445]) ).
tff(f1080,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ sP2(X0,X2)
| sP3(X2,X3)
| ~ sP2(X0,X1) ),
inference(resolution,[],[f652,f371]) ).
tff(f371,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| ~ sP2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f272]) ).
tff(f272,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
& ( y != X0 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X1),X0),l) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f183]) ).
tff(f183,plain,
! [X4: arrow_411405190le_alt,X3: arrow_411405190le_alt] :
( ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X4),l)
& ( y != X4 )
& member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X3),X4),l) )
| ~ sP2(X4,X3) ),
inference(nnf_transformation,[],[f167]) ).
tff(f652,plain,
! [X2: arrow_411405190le_alt,X3: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ~ sP2(X1,X2)
| sP3(X0,X3) ),
inference(resolution,[],[f591,f368]) ).
tff(f368,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| sP3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f266]) ).
tff(f266,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tff(f591,plain,
! [X2: arrow_411405190le_alt,X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X1),l)
| ~ sP2(X1,X2) ),
inference(resolution,[],[f349,f370]) ).
tff(f370,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ~ sP2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f274]) ).
tff(f274,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tff(f1043,plain,
( spl78_3
| ~ spl78_18 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
tff(f1042,plain,
( $false
| spl78_3
| ~ spl78_18 ),
inference(subsumption_resolution,[],[f1036,f453]) ).
tff(f453,plain,
! [X0: arrow_411405190le_alt] : sP3(x,X0),
inference(resolution,[],[f348,f368]) ).
tff(f1036,plain,
( ~ sP3(x,y)
| spl78_3
| ~ spl78_18 ),
inference(backward_demodulation,[],[f436,f1031]) ).
tff(f692,plain,
( spl78_3
| ~ spl78_6 ),
inference(avatar_contradiction_clause,[],[f691]) ).
tff(f691,plain,
( $false
| spl78_3
| ~ spl78_6 ),
inference(subsumption_resolution,[],[f690,f453]) ).
tff(f690,plain,
( ~ sP3(x,y)
| spl78_3
| ~ spl78_6 ),
inference(backward_demodulation,[],[f436,f688]) ).
tff(f688,plain,
( ( x = sK11 )
| spl78_3
| ~ spl78_6 ),
inference(subsumption_resolution,[],[f687,f339]) ).
tff(f339,plain,
! [X1: arrow_411405190le_alt] : ~ sP2(y,X1),
inference(equality_resolution,[],[f273]) ).
tff(f273,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y != X0 )
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tff(f687,plain,
( sP2(y,sK11)
| ( x = sK11 )
| spl78_3
| ~ spl78_6 ),
inference(forward_demodulation,[],[f686,f442]) ).
tff(f442,plain,
( ( y = sK9(sK11) )
| ~ spl78_6 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f441,plain,
( spl78_6
<=> ( y = sK9(sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl78_6])]) ).
tff(f686,plain,
( ( x = sK11 )
| sP2(sK9(sK11),sK11)
| spl78_3 ),
inference(resolution,[],[f642,f436]) ).
tff(f642,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(X0,X1)
| ( x = X0 )
| sP2(sK9(X0),X0) ),
inference(subsumption_resolution,[],[f606,f368]) ).
tff(f606,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
| sP2(sK9(X0),X0)
| ( x = X0 )
| sP3(X0,X1) ),
inference(resolution,[],[f590,f364]) ).
tff(f364,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP2(sK9(X0),X0)
| ( x = X0 )
| sP3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f270]) ).
tff(f270,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),x),l)
| sP2(sK9(X0),X0)
| ( x = X0 )
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tff(f563,plain,
( spl78_4
| spl78_13
| ~ spl78_9 ),
inference(avatar_split_clause,[],[f559,f491,f561,f426]) ).
tff(f559,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| sP5
| ~ spl78_9 ),
inference(subsumption_resolution,[],[f558,f358]) ).
tff(f558,plain,
( ( sK6 = sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| sP5
| ~ spl78_9 ),
inference(forward_demodulation,[],[f557,f492]) ).
tff(f557,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( y = sK7 )
| sP5
| ~ spl78_9 ),
inference(subsumption_resolution,[],[f351,f492]) ).
tff(f351,plain,
( ( y != sK6 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( y = sK7 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f257]) ).
tff(f257,plain,
( ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),x),l)
| ( y != sK6 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f546,plain,
( spl78_4
| ~ spl78_12
| ~ spl78_9 ),
inference(avatar_split_clause,[],[f542,f491,f544,f426]) ).
tff(f542,plain,
( ( x != sK7 )
| sP5
| ~ spl78_9 ),
inference(subsumption_resolution,[],[f353,f492]) ).
tff(f353,plain,
( ( y != sK6 )
| ( x != sK7 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f255]) ).
tff(f255,plain,
( ( y != sK6 )
| ( x != sK7 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f530,plain,
( spl78_4
| spl78_11
| ~ spl78_8 ),
inference(avatar_split_clause,[],[f518,f488,f528,f426]) ).
tff(f518,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| sP5
| ~ spl78_8 ),
inference(subsumption_resolution,[],[f517,f358]) ).
tff(f517,plain,
( ( sK6 = sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| sP5
| ~ spl78_8 ),
inference(subsumption_resolution,[],[f498,f489]) ).
tff(f498,plain,
( ( sK6 = sK7 )
| ( y != sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| sP5
| ~ spl78_8 ),
inference(backward_demodulation,[],[f350,f489]) ).
tff(f350,plain,
( ( y != sK7 )
| member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ( y = sK6 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f258]) ).
tff(f258,plain,
( ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),sK6),l)
| ( y != sK7 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f524,plain,
( spl78_4
| ~ spl78_10
| ~ spl78_8 ),
inference(avatar_split_clause,[],[f516,f488,f522,f426]) ).
tff(f516,plain,
( ( x != sK6 )
| sP5
| ~ spl78_8 ),
inference(trivial_inequality_removal,[],[f503]) ).
tff(f503,plain,
( ( sK7 != sK7 )
| ( x != sK6 )
| sP5
| ~ spl78_8 ),
inference(backward_demodulation,[],[f357,f489]) ).
tff(f357,plain,
( ( y != sK7 )
| ( x != sK6 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f251]) ).
tff(f251,plain,
( ( y != sK7 )
| ( x != sK6 )
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f493,plain,
( spl78_4
| spl78_8
| spl78_9 ),
inference(avatar_split_clause,[],[f483,f491,f488,f426]) ).
tff(f483,plain,
( ( y = sK6 )
| ( y = sK7 )
| sP5 ),
inference(subsumption_resolution,[],[f482,f358]) ).
tff(f482,plain,
( ( sK6 = sK7 )
| ( y = sK6 )
| ( y = sK7 )
| sP5 ),
inference(subsumption_resolution,[],[f475,f352]) ).
tff(f352,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),sK6),l)
| ( y = sK7 )
| ( y = sK6 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f256]) ).
tff(f256,plain,
( ( y = sK6 )
| ( y = sK7 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),sK6),l)
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f475,plain,
( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK7),sK6),l)
| ( sK6 = sK7 )
| ( y = sK6 )
| ( y = sK7 )
| sP5 ),
inference(resolution,[],[f347,f356]) ).
tff(f356,plain,
( member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),sK7),l)
| ( y = sK6 )
| ( y = sK7 )
| sP5 ),
inference(consistent_polarity_flipping,[],[f252]) ).
tff(f252,plain,
( ( y = sK7 )
| ( y = sK6 )
| ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),sK6),sK7),l)
| ~ sP5 ),
inference(cnf_transformation,[],[f174]) ).
tff(f446,plain,
( spl78_6
| spl78_7
| spl78_3 ),
inference(avatar_split_clause,[],[f435,f423,f444,f441]) ).
tff(f435,plain,
( sP2(sK9(sK11),sK11)
| ( y = sK9(sK11) )
| spl78_3 ),
inference(resolution,[],[f424,f415]) ).
tff(f415,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( sP3(X0,X1)
| sP2(sK9(X0),X0)
| ( y = sK9(X0) ) ),
inference(duplicate_literal_removal,[],[f365]) ).
tff(f365,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y = sK9(X0) )
| sP2(sK9(X0),X0)
| ( y = sK9(X0) )
| sP3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f269]) ).
tff(f269,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( y = sK9(X0) )
| sP2(sK9(X0),X0)
| ( y = sK9(X0) )
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT189_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 23:52:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TF1_THM_EQU_NAR problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74 % (14813)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (14807)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (14809)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (14810)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (14808)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (14811)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (14812)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (14813)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.74 % (14813)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.75 % (14814)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.75 % (14810)Instruction limit reached!
% 0.56/0.75 % (14810)------------------------------
% 0.56/0.75 % (14810)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (14810)Termination reason: Unknown
% 0.56/0.75 % (14811)Instruction limit reached!
% 0.56/0.75 % (14811)------------------------------
% 0.56/0.75 % (14811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (14810)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (14810)Memory used [KB]: 1614
% 0.56/0.75 % (14810)Time elapsed: 0.020 s
% 0.56/0.75 % (14810)Instructions burned: 33 (million)
% 0.56/0.75 % (14810)------------------------------
% 0.56/0.75 % (14810)------------------------------
% 0.56/0.75 % (14811)Termination reason: Unknown
% 0.56/0.75 % (14811)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (14811)Memory used [KB]: 1617
% 0.56/0.75 % (14811)Time elapsed: 0.018 s
% 0.56/0.75 % (14811)Instructions burned: 34 (million)
% 0.56/0.75 % (14811)------------------------------
% 0.56/0.75 % (14811)------------------------------
% 0.56/0.76 % (14807)Instruction limit reached!
% 0.56/0.76 % (14807)------------------------------
% 0.56/0.76 % (14807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (14807)Termination reason: Unknown
% 0.56/0.76 % (14807)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (14807)Memory used [KB]: 1576
% 0.56/0.76 % (14807)Time elapsed: 0.021 s
% 0.56/0.76 % (14807)Instructions burned: 35 (million)
% 0.56/0.76 % (14807)------------------------------
% 0.56/0.76 % (14807)------------------------------
% 0.56/0.76 % (14816)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.76 % (14815)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.76 % (14812)Instruction limit reached!
% 0.56/0.76 % (14812)------------------------------
% 0.56/0.76 % (14812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (14817)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.76 % (14812)Termination reason: Unknown
% 0.56/0.76 % (14812)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (14812)Memory used [KB]: 1689
% 0.56/0.76 % (14812)Time elapsed: 0.025 s
% 0.56/0.76 % (14812)Instructions burned: 46 (million)
% 0.56/0.76 % (14812)------------------------------
% 0.56/0.76 % (14812)------------------------------
% 0.56/0.76 % (14813)Instruction limit reached!
% 0.56/0.76 % (14813)------------------------------
% 0.56/0.76 % (14813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (14813)Termination reason: Unknown
% 0.56/0.76 % (14813)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (14813)Memory used [KB]: 2021
% 0.56/0.76 % (14813)Time elapsed: 0.027 s
% 0.56/0.76 % (14813)Instructions burned: 83 (million)
% 0.56/0.76 % (14813)------------------------------
% 0.56/0.76 % (14813)------------------------------
% 0.56/0.76 % (14808)Instruction limit reached!
% 0.56/0.76 % (14808)------------------------------
% 0.56/0.76 % (14808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (14808)Termination reason: Unknown
% 0.56/0.76 % (14808)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (14808)Memory used [KB]: 1810
% 0.56/0.76 % (14808)Time elapsed: 0.028 s
% 0.56/0.76 % (14808)Instructions burned: 51 (million)
% 0.56/0.76 % (14808)------------------------------
% 0.56/0.76 % (14808)------------------------------
% 0.56/0.76 % (14819)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.56/0.76 % (14818)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.56/0.77 % (14820)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.56/0.77 % (14814)Instruction limit reached!
% 0.56/0.77 % (14814)------------------------------
% 0.56/0.77 % (14814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (14814)Termination reason: Unknown
% 0.56/0.77 % (14814)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (14814)Memory used [KB]: 1534
% 0.56/0.77 % (14814)Time elapsed: 0.027 s
% 0.56/0.77 % (14814)Instructions burned: 57 (million)
% 0.56/0.77 % (14814)------------------------------
% 0.56/0.77 % (14814)------------------------------
% 0.56/0.78 % (14821)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.56/0.78 % (14821)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.56/0.78 % (14809)Instruction limit reached!
% 0.56/0.78 % (14809)------------------------------
% 0.56/0.78 % (14809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (14816)Instruction limit reached!
% 0.56/0.78 % (14816)------------------------------
% 0.56/0.78 % (14816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (14816)Termination reason: Unknown
% 0.56/0.78 % (14816)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (14816)Memory used [KB]: 1916
% 0.56/0.78 % (14816)Time elapsed: 0.024 s
% 0.56/0.78 % (14816)Instructions burned: 52 (million)
% 0.56/0.78 % (14816)------------------------------
% 0.56/0.78 % (14816)------------------------------
% 0.56/0.78 % (14809)Termination reason: Unknown
% 0.56/0.78 % (14809)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (14809)Memory used [KB]: 2136
% 0.56/0.78 % (14809)Time elapsed: 0.046 s
% 0.56/0.78 % (14809)Instructions burned: 79 (million)
% 0.56/0.78 % (14809)------------------------------
% 0.56/0.78 % (14809)------------------------------
% 0.81/0.78 % (14822)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.81/0.79 % (14815)Instruction limit reached!
% 0.81/0.79 % (14815)------------------------------
% 0.81/0.79 % (14815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.79 % (14815)Termination reason: Unknown
% 0.81/0.79 % (14815)Termination phase: Property scanning
% 0.81/0.79
% 0.81/0.79 % (14815)Memory used [KB]: 9509
% 0.81/0.79 % (14815)Time elapsed: 0.030 s
% 0.81/0.79 % (14815)Instructions burned: 56 (million)
% 0.81/0.79 % (14815)------------------------------
% 0.81/0.79 % (14815)------------------------------
% 0.81/0.79 % (14823)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.81/0.79 % (14822)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.79 % (14823)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.79 % (14818)Instruction limit reached!
% 0.81/0.79 % (14818)------------------------------
% 0.81/0.79 % (14818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.79 % (14818)Termination reason: Unknown
% 0.81/0.79 % (14818)Termination phase: Saturation
% 0.81/0.79
% 0.81/0.79 % (14818)Memory used [KB]: 1911
% 0.81/0.79 % (14818)Time elapsed: 0.030 s
% 0.81/0.79 % (14818)Instructions burned: 52 (million)
% 0.81/0.79 % (14818)------------------------------
% 0.81/0.79 % (14818)------------------------------
% 0.81/0.79 % (14824)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.81/0.79 % (14820)Instruction limit reached!
% 0.81/0.79 % (14820)------------------------------
% 0.81/0.79 % (14820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.79 % (14820)Termination reason: Unknown
% 0.81/0.79 % (14820)Termination phase: Property scanning
% 0.81/0.79
% 0.81/0.79 % (14820)Memory used [KB]: 9509
% 0.81/0.79 % (14820)Time elapsed: 0.025 s
% 0.81/0.79 % (14820)Instructions burned: 44 (million)
% 0.81/0.79 % (14820)------------------------------
% 0.81/0.79 % (14820)------------------------------
% 0.81/0.79 % (14824)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.80 % (14825)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.81/0.80 % (14825)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.80 % (14826)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.81/0.80 % (14826)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.81 % (14826)Instruction limit reached!
% 0.81/0.81 % (14826)------------------------------
% 0.81/0.81 % (14826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81 % (14826)Termination reason: Unknown
% 0.81/0.81 % (14826)Termination phase: Saturation
% 0.81/0.81
% 0.81/0.81 % (14826)Memory used [KB]: 1462
% 0.81/0.81 % (14826)Time elapsed: 0.017 s
% 0.81/0.81 % (14826)Instructions burned: 32 (million)
% 0.81/0.81 % (14826)------------------------------
% 0.81/0.81 % (14826)------------------------------
% 0.81/0.82 % (14827)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.81/0.83 % (14825)Instruction limit reached!
% 0.81/0.83 % (14825)------------------------------
% 0.81/0.83 % (14825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.83 % (14825)Termination reason: Unknown
% 0.81/0.83 % (14825)Termination phase: Property scanning
% 0.81/0.83
% 0.81/0.83 % (14825)Memory used [KB]: 9509
% 0.81/0.83 % (14825)Time elapsed: 0.031 s
% 0.81/0.83 % (14825)Instructions burned: 63 (million)
% 0.81/0.83 % (14825)------------------------------
% 0.81/0.83 % (14825)------------------------------
% 0.81/0.83 % (14828)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.81/0.84 % (14828)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.84 % (14822)Instruction limit reached!
% 0.81/0.84 % (14822)------------------------------
% 0.81/0.84 % (14822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84 % (14822)Termination reason: Unknown
% 0.81/0.84 % (14822)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (14822)Memory used [KB]: 2175
% 0.81/0.84 % (14822)Time elapsed: 0.058 s
% 0.81/0.84 % (14822)Instructions burned: 117 (million)
% 0.81/0.84 % (14822)------------------------------
% 0.81/0.84 % (14822)------------------------------
% 0.81/0.84 % (14824)Instruction limit reached!
% 0.81/0.84 % (14824)------------------------------
% 0.81/0.84 % (14824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84 % (14824)Termination reason: Unknown
% 0.81/0.84 % (14824)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (14824)Memory used [KB]: 2246
% 0.81/0.84 % (14824)Time elapsed: 0.051 s
% 0.81/0.84 % (14824)Instructions burned: 93 (million)
% 0.81/0.84 % (14824)------------------------------
% 0.81/0.84 % (14824)------------------------------
% 0.81/0.84 % (14829)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.81/0.85 % (14830)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.81/0.85 % (14829)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.81/0.85 % (14830)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.07/0.86 % (14828)Instruction limit reached!
% 1.07/0.86 % (14828)------------------------------
% 1.07/0.86 % (14828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.86 % (14828)Termination reason: Unknown
% 1.07/0.86 % (14828)Termination phase: Saturation
% 1.07/0.86
% 1.07/0.86 % (14828)Memory used [KB]: 1887
% 1.07/0.86 % (14828)Time elapsed: 0.028 s
% 1.07/0.86 % (14828)Instructions burned: 56 (million)
% 1.07/0.86 % (14828)------------------------------
% 1.07/0.86 % (14828)------------------------------
% 1.07/0.86 % (14823)Instruction limit reached!
% 1.07/0.86 % (14823)------------------------------
% 1.07/0.86 % (14823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.86 % (14823)Termination reason: Unknown
% 1.07/0.86 % (14823)Termination phase: Saturation
% 1.07/0.86
% 1.07/0.86 % (14823)Memory used [KB]: 2509
% 1.07/0.86 % (14823)Time elapsed: 0.075 s
% 1.07/0.86 % (14823)Instructions burned: 144 (million)
% 1.07/0.86 % (14823)------------------------------
% 1.07/0.86 % (14823)------------------------------
% 1.07/0.86 % (14831)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 1.07/0.86 % (14829)Instruction limit reached!
% 1.07/0.86 % (14829)------------------------------
% 1.07/0.86 % (14829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.86 % (14829)Termination reason: Unknown
% 1.07/0.86 % (14829)Termination phase: Saturation
% 1.07/0.86
% 1.07/0.86 % (14829)Memory used [KB]: 1729
% 1.07/0.86 % (14829)Time elapsed: 0.021 s
% 1.07/0.86 % (14829)Instructions burned: 55 (million)
% 1.07/0.86 % (14829)------------------------------
% 1.07/0.86 % (14829)------------------------------
% 1.07/0.87 % (14832)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 1.07/0.87 % (14817)Instruction limit reached!
% 1.07/0.87 % (14817)------------------------------
% 1.07/0.87 % (14817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.87 % (14817)Termination reason: Unknown
% 1.07/0.87 % (14817)Termination phase: Saturation
% 1.07/0.87
% 1.07/0.87 % (14817)Memory used [KB]: 2453
% 1.07/0.87 % (14817)Time elapsed: 0.109 s
% 1.07/0.87 % (14817)Instructions burned: 209 (million)
% 1.07/0.87 % (14817)------------------------------
% 1.07/0.87 % (14817)------------------------------
% 1.07/0.87 % (14833)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 1.07/0.87 % (14830)Instruction limit reached!
% 1.07/0.87 % (14830)------------------------------
% 1.07/0.87 % (14830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.07/0.87 % (14830)Termination reason: Unknown
% 1.07/0.87 % (14830)Termination phase: Saturation
% 1.07/0.87
% 1.07/0.87 % (14830)Memory used [KB]: 2081
% 1.07/0.87 % (14830)Time elapsed: 0.044 s
% 1.07/0.87 % (14830)Instructions burned: 46 (million)
% 1.07/0.87 % (14830)------------------------------
% 1.07/0.87 % (14830)------------------------------
% 1.07/0.87 % (14833)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.35/0.87 % (14834)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 1.35/0.87 % (14835)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 1.35/0.87 % (14832)Instruction limit reached!
% 1.35/0.87 % (14832)------------------------------
% 1.35/0.87 % (14832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.87 % (14832)Termination reason: Unknown
% 1.35/0.87 % (14832)Termination phase: Saturation
% 1.35/0.87
% 1.35/0.87 % (14832)Memory used [KB]: 1501
% 1.35/0.87 % (14832)Time elapsed: 0.010 s
% 1.35/0.87 % (14832)Instructions burned: 39 (million)
% 1.35/0.87 % (14832)------------------------------
% 1.35/0.87 % (14832)------------------------------
% 1.35/0.88 % (14819)Instruction limit reached!
% 1.35/0.88 % (14819)------------------------------
% 1.35/0.88 % (14819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.88 % (14819)Termination reason: Unknown
% 1.35/0.88 % (14819)Termination phase: Saturation
% 1.35/0.88
% 1.35/0.88 % (14819)Memory used [KB]: 2345
% 1.35/0.88 % (14819)Time elapsed: 0.114 s
% 1.35/0.88 % (14819)Instructions burned: 522 (million)
% 1.35/0.88 % (14819)------------------------------
% 1.35/0.88 % (14819)------------------------------
% 1.35/0.88 % (14836)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 1.35/0.88 % (14836)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.35/0.88 % (14837)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.35/0.89 % (14821)Instruction limit reached!
% 1.35/0.89 % (14821)------------------------------
% 1.35/0.89 % (14821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.89 % (14821)Termination reason: Unknown
% 1.35/0.89 % (14821)Termination phase: Saturation
% 1.35/0.89
% 1.35/0.89 % (14821)Memory used [KB]: 2964
% 1.35/0.89 % (14821)Time elapsed: 0.114 s
% 1.35/0.89 % (14821)Instructions burned: 244 (million)
% 1.35/0.89 % (14821)------------------------------
% 1.35/0.89 % (14821)------------------------------
% 1.35/0.89 % (14837)Instruction limit reached!
% 1.35/0.89 % (14837)------------------------------
% 1.35/0.89 % (14837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.89 % (14837)Termination reason: Unknown
% 1.35/0.89 % (14837)Termination phase: Saturation
% 1.35/0.89
% 1.35/0.89 % (14837)Memory used [KB]: 1524
% 1.35/0.89 % (14837)Time elapsed: 0.011 s
% 1.35/0.89 % (14837)Instructions burned: 41 (million)
% 1.35/0.89 % (14837)------------------------------
% 1.35/0.89 % (14837)------------------------------
% 1.35/0.89 % (14838)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.35/0.89 % (14839)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.35/0.89 % (14839)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.35/0.89 % (14833)Instruction limit reached!
% 1.35/0.89 % (14833)------------------------------
% 1.35/0.89 % (14833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.89 % (14833)Termination reason: Unknown
% 1.35/0.89 % (14833)Termination phase: Saturation
% 1.35/0.89
% 1.35/0.89 % (14833)Memory used [KB]: 2178
% 1.35/0.89 % (14833)Time elapsed: 0.052 s
% 1.35/0.89 % (14833)Instructions burned: 90 (million)
% 1.35/0.89 % (14833)------------------------------
% 1.35/0.89 % (14833)------------------------------
% 1.35/0.90 % (14836)Instruction limit reached!
% 1.35/0.90 % (14836)------------------------------
% 1.35/0.90 % (14836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.90 % (14836)Termination reason: Unknown
% 1.35/0.90 % (14836)Termination phase: Saturation
% 1.35/0.90
% 1.35/0.90 % (14836)Memory used [KB]: 1927
% 1.35/0.90 % (14836)Time elapsed: 0.021 s
% 1.35/0.90 % (14836)Instructions burned: 69 (million)
% 1.35/0.90 % (14836)------------------------------
% 1.35/0.90 % (14836)------------------------------
% 1.35/0.90 % (14840)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.35/0.90 % (14831)Instruction limit reached!
% 1.35/0.90 % (14831)------------------------------
% 1.35/0.90 % (14831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.35/0.90 % (14831)Termination reason: Unknown
% 1.35/0.90 % (14831)Termination phase: Saturation
% 1.35/0.90
% 1.35/0.90 % (14831)Memory used [KB]: 2206
% 1.35/0.90 % (14831)Time elapsed: 0.060 s
% 1.35/0.90 % (14831)Instructions burned: 104 (million)
% 1.35/0.90 % (14831)------------------------------
% 1.35/0.90 % (14831)------------------------------
% 1.35/0.90 % (14841)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.35/0.90 % (14842)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.35/0.90 % (14841)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.35/0.90 % (14842)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.69/0.91 % (14841)Instruction limit reached!
% 1.69/0.91 % (14841)------------------------------
% 1.69/0.91 % (14841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.91 % (14841)Termination reason: Unknown
% 1.69/0.91 % (14841)Termination phase: Saturation
% 1.69/0.91
% 1.69/0.91 % (14841)Memory used [KB]: 1575
% 1.69/0.91 % (14841)Time elapsed: 0.011 s
% 1.69/0.91 % (14841)Instructions burned: 38 (million)
% 1.69/0.91 % (14841)------------------------------
% 1.69/0.91 % (14841)------------------------------
% 1.69/0.91 % (14843)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.69/0.92 % (14835)Instruction limit reached!
% 1.69/0.92 % (14835)------------------------------
% 1.69/0.92 % (14835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.92 % (14835)Termination reason: Unknown
% 1.69/0.92 % (14835)Termination phase: Saturation
% 1.69/0.92
% 1.69/0.92 % (14835)Memory used [KB]: 2105
% 1.69/0.92 % (14835)Time elapsed: 0.070 s
% 1.69/0.92 % (14835)Instructions burned: 161 (million)
% 1.69/0.92 % (14835)------------------------------
% 1.69/0.92 % (14835)------------------------------
% 1.69/0.92 % (14842)Instruction limit reached!
% 1.69/0.92 % (14842)------------------------------
% 1.69/0.92 % (14842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.92 % (14842)Termination reason: Unknown
% 1.69/0.92 % (14842)Termination phase: Saturation
% 1.69/0.92
% 1.69/0.92 % (14842)Memory used [KB]: 1733
% 1.69/0.92 % (14842)Time elapsed: 0.018 s
% 1.69/0.92 % (14842)Instructions burned: 55 (million)
% 1.69/0.92 % (14842)------------------------------
% 1.69/0.92 % (14842)------------------------------
% 1.69/0.92 % (14844)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.69/0.92 % (14845)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.69/0.92 % (14840)Instruction limit reached!
% 1.69/0.92 % (14840)------------------------------
% 1.69/0.92 % (14840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.92 % (14840)Termination reason: Unknown
% 1.69/0.92 % (14840)Termination phase: Saturation
% 1.69/0.92
% 1.69/0.92 % (14840)Memory used [KB]: 1673
% 1.69/0.92 % (14840)Time elapsed: 0.026 s
% 1.69/0.92 % (14840)Instructions burned: 82 (million)
% 1.69/0.92 % (14840)------------------------------
% 1.69/0.92 % (14840)------------------------------
% 1.69/0.92 % (14846)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.69/0.93 % (14843)Instruction limit reached!
% 1.69/0.93 % (14843)------------------------------
% 1.69/0.93 % (14843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.93 % (14843)Termination reason: Unknown
% 1.69/0.93 % (14843)Termination phase: Property scanning
% 1.69/0.93
% 1.69/0.93 % (14843)Memory used [KB]: 9510
% 1.69/0.93 % (14843)Time elapsed: 0.015 s
% 1.69/0.93 % (14843)Instructions burned: 47 (million)
% 1.69/0.93 % (14843)------------------------------
% 1.69/0.93 % (14843)------------------------------
% 1.69/0.93 % (14844)Instruction limit reached!
% 1.69/0.93 % (14844)------------------------------
% 1.69/0.93 % (14844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.93 % (14844)Termination reason: Unknown
% 1.69/0.93 % (14844)Termination phase: Saturation
% 1.69/0.93
% 1.69/0.93 % (14844)Memory used [KB]: 1505
% 1.69/0.93 % (14844)Time elapsed: 0.010 s
% 1.69/0.93 % (14844)Instructions burned: 33 (million)
% 1.69/0.93 % (14844)------------------------------
% 1.69/0.93 % (14844)------------------------------
% 1.69/0.93 % (14834)Instruction limit reached!
% 1.69/0.93 % (14834)------------------------------
% 1.69/0.93 % (14834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.69/0.93 % (14834)Termination reason: Unknown
% 1.69/0.93 % (14834)Termination phase: Saturation
% 1.69/0.93
% 1.69/0.93 % (14834)Memory used [KB]: 2261
% 1.69/0.93 % (14834)Time elapsed: 0.082 s
% 1.69/0.93 % (14834)Instructions burned: 109 (million)
% 1.69/0.93 % (14834)------------------------------
% 1.69/0.93 % (14834)------------------------------
% 1.69/0.93 % (14847)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2994ds/82Mi)
% 1.69/0.93 % (14848)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.69/0.93 % (14847)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.69/0.93 % (14849)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2994ds/177Mi)
% 1.89/0.94 % (14839)First to succeed.
% 1.89/0.94 % (14846)Instruction limit reached!
% 1.89/0.94 % (14846)------------------------------
% 1.89/0.94 % (14846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.89/0.94 % (14846)Termination reason: Unknown
% 1.89/0.94 % (14846)Termination phase: Saturation
% 1.89/0.94
% 1.89/0.94 % (14846)Memory used [KB]: 1579
% 1.89/0.94 % (14846)Time elapsed: 0.016 s
% 1.89/0.94 % (14846)Instructions burned: 56 (million)
% 1.89/0.94 % (14846)------------------------------
% 1.89/0.94 % (14846)------------------------------
% 1.89/0.94 % (14839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14806"
% 1.89/0.94 % (14850)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2994ds/117Mi)
% 1.89/0.94 % (14839)Refutation found. Thanks to Tanya!
% 1.89/0.94 % SZS status Theorem for theBenchmark
% 1.89/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.94 % (14839)------------------------------
% 1.89/0.94 % (14839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.89/0.94 % (14839)Termination reason: Refutation
% 1.89/0.94
% 1.89/0.94 % (14839)Memory used [KB]: 2003
% 1.89/0.94 % (14839)Time elapsed: 0.051 s
% 1.89/0.94 % (14839)Instructions burned: 180 (million)
% 1.89/0.94 % (14806)Success in time 0.583 s
% 1.89/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------