TSTP Solution File: SYO617-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO617-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 : 600s
% DateTime : Thu Jul 21 18:40:28 EDT 2022
% Result : Unsatisfiable 14.03s 14.21s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 7
% Syntax : Number of clauses : 175 ( 67 unt; 43 nHn; 65 RR)
% Number of literals : 395 ( 0 equ; 127 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 854 ( 436 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(A,A) ).
cnf(sos_02,axiom,
( ~ le(max(A,B),C)
| le(A,C) ) ).
cnf(sos_03,axiom,
( ~ le(max(A,B),C)
| le(B,C) ) ).
cnf(sos_04,axiom,
( eq(f(A),a0)
| eq(f(A),a1)
| eq(f(A),a2) ) ).
cnf(sos_05,axiom,
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ le(s(A0),A1) ) ).
cnf(sos_06,axiom,
( ~ eq(f(A0),a1)
| ~ eq(f(A1),a1)
| ~ le(s(A0),A1) ) ).
cnf(sos_07,axiom,
( ~ eq(f(A0),a2)
| ~ eq(f(A1),a2)
| ~ le(s(A0),A1) ) ).
cnf(refute_0_0,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)),a0)
| ~ le(s(A0),max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)) ),
inference(subst,[],[sos_05:[bind(A1,$fot(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)))]]) ).
cnf(refute_0_1,plain,
( ~ le(max(A,B),max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338))
| le(B,max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338)) ),
inference(subst,[],[sos_03:[bind(C,$fot(max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338)))]]) ).
cnf(refute_0_2,plain,
( ~ le(max(A,B),max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652))
| le(A,max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652)))]]) ).
cnf(refute_0_3,plain,
( ~ le(max(A,B),max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837))
| le(A,max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837)))]]) ).
cnf(refute_0_4,plain,
( ~ le(max(A,B),max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359))
| le(A,max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359)))]]) ).
cnf(refute_0_5,plain,
( ~ le(max(A,B),max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105))
| le(A,max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105)))]]) ).
cnf(refute_0_6,plain,
( ~ le(max(A,B),max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24))
| le(A,max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24)))]]) ).
cnf(refute_0_7,plain,
( ~ le(max(A,B),max(max(max(max(max(A,B),X_15),X_16),X_17),X_18))
| le(A,max(max(max(max(max(A,B),X_15),X_16),X_17),X_18)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(max(A,B),X_15),X_16),X_17),X_18)))]]) ).
cnf(refute_0_8,plain,
( ~ le(max(A,B),max(max(max(max(A,B),X_11),X_12),X_13))
| le(A,max(max(max(max(A,B),X_11),X_12),X_13)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(max(A,B),X_11),X_12),X_13)))]]) ).
cnf(refute_0_9,plain,
( ~ le(max(A,B),max(max(max(A,B),X_8),X_9))
| le(A,max(max(max(A,B),X_8),X_9)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(max(A,B),X_8),X_9)))]]) ).
cnf(refute_0_10,plain,
( ~ le(max(A,B),max(max(A,B),X_6))
| le(A,max(max(A,B),X_6)) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(max(A,B),X_6)))]]) ).
cnf(refute_0_11,plain,
le(max(X_2,X_3),max(X_2,X_3)),
inference(subst,[],[sos_01:[bind(A,$fot(max(X_2,X_3)))]]) ).
cnf(refute_0_12,plain,
( ~ le(max(X_2,X_3),max(X_2,X_3))
| le(X_2,max(X_2,X_3)) ),
inference(subst,[],[sos_02:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(max(X_2,X_3)))]]) ).
cnf(refute_0_13,plain,
le(X_2,max(X_2,X_3)),
inference(resolve,[$cnf( le(max(X_2,X_3),max(X_2,X_3)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
le(max(A,B),max(max(A,B),X_6)),
inference(subst,[],[refute_0_13:[bind(X_2,$fot(max(A,B))),bind(X_3,$fot(X_6))]]) ).
cnf(refute_0_15,plain,
le(A,max(max(A,B),X_6)),
inference(resolve,[$cnf( le(max(A,B),max(max(A,B),X_6)) )],[refute_0_14,refute_0_10]) ).
cnf(refute_0_16,plain,
le(max(A,B),max(max(max(A,B),X_8),X_9)),
inference(subst,[],[refute_0_15:[bind(A,$fot(max(A,B))),bind(B,$fot(X_8)),bind(X_6,$fot(X_9))]]) ).
cnf(refute_0_17,plain,
le(A,max(max(max(A,B),X_8),X_9)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(A,B),X_8),X_9)) )],[refute_0_16,refute_0_9]) ).
cnf(refute_0_18,plain,
le(max(A,B),max(max(max(max(A,B),X_11),X_12),X_13)),
inference(subst,[],[refute_0_17:[bind(A,$fot(max(A,B))),bind(B,$fot(X_11)),bind(X_8,$fot(X_12)),bind(X_9,$fot(X_13))]]) ).
cnf(refute_0_19,plain,
le(A,max(max(max(max(A,B),X_11),X_12),X_13)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(A,B),X_11),X_12),X_13)) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
le(max(A,B),max(max(max(max(max(A,B),X_15),X_16),X_17),X_18)),
inference(subst,[],[refute_0_19:[bind(A,$fot(max(A,B))),bind(B,$fot(X_15)),bind(X_11,$fot(X_16)),bind(X_12,$fot(X_17)),bind(X_13,$fot(X_18))]]) ).
cnf(refute_0_21,plain,
le(A,max(max(max(max(max(A,B),X_15),X_16),X_17),X_18)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(A,B),X_15),X_16),X_17),X_18)) )],[refute_0_20,refute_0_7]) ).
cnf(refute_0_22,plain,
le(max(A,B),max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24)),
inference(subst,[],[refute_0_21:[bind(A,$fot(max(A,B))),bind(B,$fot(X_20)),bind(X_15,$fot(X_21)),bind(X_16,$fot(X_22)),bind(X_17,$fot(X_23)),bind(X_18,$fot(X_24))]]) ).
cnf(refute_0_23,plain,
le(A,max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(A,B),X_20),X_21),X_22),X_23),X_24)) )],[refute_0_22,refute_0_6]) ).
cnf(refute_0_24,plain,
le(max(A,B),max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105)),
inference(subst,[],[refute_0_23:[bind(A,$fot(max(A,B))),bind(B,$fot(X_100)),bind(X_20,$fot(X_101)),bind(X_21,$fot(X_102)),bind(X_22,$fot(X_103)),bind(X_23,$fot(X_104)),bind(X_24,$fot(X_105))]]) ).
cnf(refute_0_25,plain,
le(A,max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(max(A,B),X_100),X_101),X_102),X_103),X_104),X_105)) )],[refute_0_24,refute_0_5]) ).
cnf(refute_0_26,plain,
le(max(A,B),max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359)),
inference(subst,[],[refute_0_25:[bind(A,$fot(max(A,B))),bind(B,$fot(X_353)),bind(X_100,$fot(X_354)),bind(X_101,$fot(X_355)),bind(X_102,$fot(X_356)),bind(X_103,$fot(X_357)),bind(X_104,$fot(X_358)),bind(X_105,$fot(X_359))]]) ).
cnf(refute_0_27,plain,
le(A,max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(max(max(A,B),X_353),X_354),X_355),X_356),X_357),X_358),X_359)) )],[refute_0_26,refute_0_4]) ).
cnf(refute_0_28,plain,
le(max(A,B),max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837)),
inference(subst,[],[refute_0_27:[bind(A,$fot(max(A,B))),bind(B,$fot(X_830)),bind(X_353,$fot(X_831)),bind(X_354,$fot(X_832)),bind(X_355,$fot(X_833)),bind(X_356,$fot(X_834)),bind(X_357,$fot(X_835)),bind(X_358,$fot(X_836)),bind(X_359,$fot(X_837))]]) ).
cnf(refute_0_29,plain,
le(A,max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(max(max(max(A,B),X_830),X_831),X_832),X_833),X_834),X_835),X_836),X_837)) )],[refute_0_28,refute_0_3]) ).
cnf(refute_0_30,plain,
le(max(A,B),max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652)),
inference(subst,[],[refute_0_29:[bind(A,$fot(max(A,B))),bind(B,$fot(X_1644)),bind(X_830,$fot(X_1645)),bind(X_831,$fot(X_1646)),bind(X_832,$fot(X_1647)),bind(X_833,$fot(X_1648)),bind(X_834,$fot(X_1649)),bind(X_835,$fot(X_1650)),bind(X_836,$fot(X_1651)),bind(X_837,$fot(X_1652))]]) ).
cnf(refute_0_31,plain,
le(A,max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(max(max(max(max(A,B),X_1644),X_1645),X_1646),X_1647),X_1648),X_1649),X_1650),X_1651),X_1652)) )],[refute_0_30,refute_0_2]) ).
cnf(refute_0_32,plain,
le(max(A,B),max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338)),
inference(subst,[],[refute_0_31:[bind(A,$fot(max(A,B))),bind(B,$fot(X_8329)),bind(X_1644,$fot(X_8330)),bind(X_1645,$fot(X_8331)),bind(X_1646,$fot(X_8332)),bind(X_1647,$fot(X_8333)),bind(X_1648,$fot(X_8334)),bind(X_1649,$fot(X_8335)),bind(X_1650,$fot(X_8336)),bind(X_1651,$fot(X_8337)),bind(X_1652,$fot(X_8338))]]) ).
cnf(refute_0_33,plain,
le(B,max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338)),
inference(resolve,[$cnf( le(max(A,B),max(max(max(max(max(max(max(max(max(max(max(A,B),X_8329),X_8330),X_8331),X_8332),X_8333),X_8334),X_8335),X_8336),X_8337),X_8338)) )],[refute_0_32,refute_0_1]) ).
cnf(refute_0_34,plain,
le(s(A0),max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_19510)),bind(B,$fot(s(A0))),bind(X_8329,$fot(X_19512)),bind(X_8330,$fot(X_19513)),bind(X_8331,$fot(X_19514)),bind(X_8332,$fot(X_19515)),bind(X_8333,$fot(X_19516)),bind(X_8334,$fot(X_19517)),bind(X_8335,$fot(X_19518)),bind(X_8336,$fot(X_19519)),bind(X_8337,$fot(X_19520)),bind(X_8338,$fot(X_19521))]]) ).
cnf(refute_0_35,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)),a0) ),
inference(resolve,[$cnf( le(s(A0),max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)) )],[refute_0_34,refute_0_0]) ).
cnf(refute_0_36,plain,
( eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_571),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(X_571))]]) ).
cnf(refute_0_37,plain,
( eq(f(max(X_64,s(X_65))),a0)
| eq(f(max(X_64,s(X_65))),a1)
| eq(f(max(X_64,s(X_65))),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(max(X_64,s(X_65))))]]) ).
cnf(refute_0_38,plain,
le(max(X_25,X_26),max(X_25,X_26)),
inference(subst,[],[sos_01:[bind(A,$fot(max(X_25,X_26)))]]) ).
cnf(refute_0_39,plain,
( ~ le(max(X_25,X_26),max(X_25,X_26))
| le(X_26,max(X_25,X_26)) ),
inference(subst,[],[sos_03:[bind(A,$fot(X_25)),bind(B,$fot(X_26)),bind(C,$fot(max(X_25,X_26)))]]) ).
cnf(refute_0_40,plain,
le(X_26,max(X_25,X_26)),
inference(resolve,[$cnf( le(max(X_25,X_26),max(X_25,X_26)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
le(s(X_61),max(X_25,s(X_61))),
inference(subst,[],[refute_0_40:[bind(X_26,$fot(s(X_61)))]]) ).
cnf(refute_0_42,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(max(X_25,s(X_61))),a2)
| ~ le(s(X_61),max(X_25,s(X_61))) ),
inference(subst,[],[sos_07:[bind(A0,$fot(X_61)),bind(A1,$fot(max(X_25,s(X_61))))]]) ).
cnf(refute_0_43,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(max(X_25,s(X_61))),a2) ),
inference(resolve,[$cnf( le(s(X_61),max(X_25,s(X_61))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ eq(f(X_65),a2)
| ~ eq(f(max(X_64,s(X_65))),a2) ),
inference(subst,[],[refute_0_43:[bind(X_25,$fot(X_64)),bind(X_61,$fot(X_65))]]) ).
cnf(refute_0_45,plain,
( ~ eq(f(X_65),a2)
| eq(f(max(X_64,s(X_65))),a0)
| eq(f(max(X_64,s(X_65))),a1) ),
inference(resolve,[$cnf( eq(f(max(X_64,s(X_65))),a2) )],[refute_0_37,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ eq(f(X_571),a2)
| eq(f(max(X_570,s(X_571))),a0)
| eq(f(max(X_570,s(X_571))),a1) ),
inference(subst,[],[refute_0_45:[bind(X_64,$fot(X_570)),bind(X_65,$fot(X_571))]]) ).
cnf(refute_0_47,plain,
( eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(max(X_570,s(X_571))),a0)
| eq(f(max(X_570,s(X_571))),a1) ),
inference(resolve,[$cnf( eq(f(X_571),a2) )],[refute_0_36,refute_0_46]) ).
cnf(refute_0_48,plain,
le(max(X_25,X_26),max(max(X_25,X_26),X_3)),
inference(subst,[],[refute_0_13:[bind(X_2,$fot(max(X_25,X_26)))]]) ).
cnf(refute_0_49,plain,
( ~ le(max(X_25,X_26),max(max(X_25,X_26),X_3))
| le(X_26,max(max(X_25,X_26),X_3)) ),
inference(subst,[],[sos_03:[bind(A,$fot(X_25)),bind(B,$fot(X_26)),bind(C,$fot(max(max(X_25,X_26),X_3)))]]) ).
cnf(refute_0_50,plain,
le(X_26,max(max(X_25,X_26),X_3)),
inference(resolve,[$cnf( le(max(X_25,X_26),max(max(X_25,X_26),X_3)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
le(s(X_58),max(max(X_25,s(X_58)),X_3)),
inference(subst,[],[refute_0_50:[bind(X_26,$fot(s(X_58)))]]) ).
cnf(refute_0_52,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(max(X_25,s(X_58)),X_3)),a1)
| ~ le(s(X_58),max(max(X_25,s(X_58)),X_3)) ),
inference(subst,[],[sos_06:[bind(A0,$fot(X_58)),bind(A1,$fot(max(max(X_25,s(X_58)),X_3)))]]) ).
cnf(refute_0_53,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(max(X_25,s(X_58)),X_3)),a1) ),
inference(resolve,[$cnf( le(s(X_58),max(max(X_25,s(X_58)),X_3)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(max(s(X_1665),s(X_58)),X_1664)),a1) ),
inference(subst,[],[refute_0_53:[bind(X_25,$fot(s(X_1665))),bind(X_3,$fot(X_1664))]]) ).
cnf(refute_0_55,plain,
( eq(f(X_1112),a0)
| eq(f(X_1112),a1)
| eq(f(X_1112),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(X_1112))]]) ).
cnf(refute_0_56,plain,
( eq(f(max(max(s(X_128),X_126),X_127)),a0)
| eq(f(max(max(s(X_128),X_126),X_127)),a1)
| eq(f(max(max(s(X_128),X_126),X_127)),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(max(max(s(X_128),X_126),X_127)))]]) ).
cnf(refute_0_57,plain,
le(s(X_61),max(max(s(X_61),B),X_6)),
inference(subst,[],[refute_0_15:[bind(A,$fot(s(X_61)))]]) ).
cnf(refute_0_58,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(max(max(s(X_61),B),X_6)),a2)
| ~ le(s(X_61),max(max(s(X_61),B),X_6)) ),
inference(subst,[],[sos_07:[bind(A0,$fot(X_61)),bind(A1,$fot(max(max(s(X_61),B),X_6)))]]) ).
cnf(refute_0_59,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(max(max(s(X_61),B),X_6)),a2) ),
inference(resolve,[$cnf( le(s(X_61),max(max(s(X_61),B),X_6)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ eq(f(X_128),a2)
| ~ eq(f(max(max(s(X_128),X_126),X_127)),a2) ),
inference(subst,[],[refute_0_59:[bind(B,$fot(X_126)),bind(X_6,$fot(X_127)),bind(X_61,$fot(X_128))]]) ).
cnf(refute_0_61,plain,
( ~ eq(f(X_128),a2)
| eq(f(max(max(s(X_128),X_126),X_127)),a0)
| eq(f(max(max(s(X_128),X_126),X_127)),a1) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_128),X_126),X_127)),a2) )],[refute_0_56,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ eq(f(X_1112),a2)
| eq(f(max(max(s(X_1112),X_1110),X_1111)),a0)
| eq(f(max(max(s(X_1112),X_1110),X_1111)),a1) ),
inference(subst,[],[refute_0_61:[bind(X_126,$fot(X_1110)),bind(X_127,$fot(X_1111)),bind(X_128,$fot(X_1112))]]) ).
cnf(refute_0_63,plain,
( eq(f(X_1112),a0)
| eq(f(X_1112),a1)
| eq(f(max(max(s(X_1112),X_1110),X_1111)),a0)
| eq(f(max(max(s(X_1112),X_1110),X_1111)),a1) ),
inference(resolve,[$cnf( eq(f(X_1112),a2) )],[refute_0_55,refute_0_62]) ).
cnf(refute_0_64,plain,
( eq(f(X_1665),a0)
| eq(f(X_1665),a1)
| eq(f(max(max(s(X_1665),s(X_58)),X_1664)),a0)
| eq(f(max(max(s(X_1665),s(X_58)),X_1664)),a1) ),
inference(subst,[],[refute_0_63:[bind(X_1110,$fot(s(X_58))),bind(X_1111,$fot(X_1664)),bind(X_1112,$fot(X_1665))]]) ).
cnf(refute_0_65,plain,
( ~ eq(f(X_58),a1)
| eq(f(X_1665),a0)
| eq(f(X_1665),a1)
| eq(f(max(max(s(X_1665),s(X_58)),X_1664)),a0) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_1665),s(X_58)),X_1664)),a1) )],[refute_0_64,refute_0_54]) ).
cnf(refute_0_66,plain,
( ~ eq(f(max(X_570,s(X_571))),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(max(s(X_9969),s(max(X_570,s(X_571)))),X_9968)),a0) ),
inference(subst,[],[refute_0_65:[bind(X_1664,$fot(X_9968)),bind(X_1665,$fot(X_9969)),bind(X_58,$fot(max(X_570,s(X_571))))]]) ).
cnf(refute_0_67,plain,
( eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0)
| eq(f(max(max(s(X_9969),s(max(X_570,s(X_571)))),X_9968)),a0) ),
inference(resolve,[$cnf( eq(f(max(X_570,s(X_571))),a1) )],[refute_0_47,refute_0_66]) ).
cnf(refute_0_68,plain,
( eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0)
| eq(f(max(max(s(X_9969),s(max(X_570,s(X_571)))),max(max(max(max(X_54376,max(max(s(X_54373),X_54374),X_54375)),X_54377),X_54378),X_54379))),a0) ),
inference(subst,[],[refute_0_67:[bind(X_9968,$fot(max(max(max(max(X_54376,max(max(s(X_54373),X_54374),X_54375)),X_54377),X_54378),X_54379)))]]) ).
cnf(refute_0_69,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))),a0)
| ~ le(s(A0),max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))) ),
inference(subst,[],[sos_05:[bind(A1,$fot(max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))))]]) ).
cnf(refute_0_70,plain,
( ~ le(max(A,B),max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187)))
| le(A,max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187))))]]) ).
cnf(refute_0_71,plain,
( ~ le(max(A,B),max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334)))
| le(A,max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334))))]]) ).
cnf(refute_0_72,plain,
( ~ le(max(A,B),max(X_169,max(max(max(max(A,B),X_166),X_167),X_168)))
| le(B,max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))) ),
inference(subst,[],[sos_03:[bind(C,$fot(max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))))]]) ).
cnf(refute_0_73,plain,
( ~ le(max(A,B),max(X_47,max(max(max(A,B),X_45),X_46)))
| le(A,max(X_47,max(max(max(A,B),X_45),X_46))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_47,max(max(max(A,B),X_45),X_46))))]]) ).
cnf(refute_0_74,plain,
( ~ le(max(A,B),max(X_43,max(max(A,B),X_42)))
| le(A,max(X_43,max(max(A,B),X_42))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_43,max(max(A,B),X_42))))]]) ).
cnf(refute_0_75,plain,
( ~ le(max(A,B),max(X_28,max(A,B)))
| le(A,max(X_28,max(A,B))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_28,max(A,B))))]]) ).
cnf(refute_0_76,plain,
le(max(A,B),max(X_28,max(A,B))),
inference(subst,[],[refute_0_40:[bind(X_25,$fot(X_28)),bind(X_26,$fot(max(A,B)))]]) ).
cnf(refute_0_77,plain,
le(A,max(X_28,max(A,B))),
inference(resolve,[$cnf( le(max(A,B),max(X_28,max(A,B))) )],[refute_0_76,refute_0_75]) ).
cnf(refute_0_78,plain,
le(max(A,B),max(X_43,max(max(A,B),X_42))),
inference(subst,[],[refute_0_77:[bind(A,$fot(max(A,B))),bind(B,$fot(X_42)),bind(X_28,$fot(X_43))]]) ).
cnf(refute_0_79,plain,
le(A,max(X_43,max(max(A,B),X_42))),
inference(resolve,[$cnf( le(max(A,B),max(X_43,max(max(A,B),X_42))) )],[refute_0_78,refute_0_74]) ).
cnf(refute_0_80,plain,
le(max(A,B),max(X_47,max(max(max(A,B),X_45),X_46))),
inference(subst,[],[refute_0_79:[bind(A,$fot(max(A,B))),bind(B,$fot(X_45)),bind(X_42,$fot(X_46)),bind(X_43,$fot(X_47))]]) ).
cnf(refute_0_81,plain,
le(A,max(X_47,max(max(max(A,B),X_45),X_46))),
inference(resolve,[$cnf( le(max(A,B),max(X_47,max(max(max(A,B),X_45),X_46))) )],[refute_0_80,refute_0_73]) ).
cnf(refute_0_82,plain,
le(max(A,B),max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))),
inference(subst,[],[refute_0_81:[bind(A,$fot(max(A,B))),bind(B,$fot(X_166)),bind(X_45,$fot(X_167)),bind(X_46,$fot(X_168)),bind(X_47,$fot(X_169))]]) ).
cnf(refute_0_83,plain,
le(B,max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))),
inference(resolve,[$cnf( le(max(A,B),max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))) )],[refute_0_82,refute_0_72]) ).
cnf(refute_0_84,plain,
le(max(A,B),max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334))),
inference(subst,[],[refute_0_83:[bind(A,$fot(X_330)),bind(B,$fot(max(A,B))),bind(X_166,$fot(X_332)),bind(X_167,$fot(X_333)),bind(X_168,$fot(X_334)),bind(X_169,$fot(X_335))]]) ).
cnf(refute_0_85,plain,
le(A,max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334))),
inference(resolve,[$cnf( le(max(A,B),max(X_335,max(max(max(max(X_330,max(A,B)),X_332),X_333),X_334))) )],[refute_0_84,refute_0_71]) ).
cnf(refute_0_86,plain,
le(max(A,B),max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187))),
inference(subst,[],[refute_0_85:[bind(A,$fot(max(A,B))),bind(B,$fot(X_1183)),bind(X_330,$fot(X_1184)),bind(X_332,$fot(X_1185)),bind(X_333,$fot(X_1186)),bind(X_334,$fot(X_1187)),bind(X_335,$fot(X_1188))]]) ).
cnf(refute_0_87,plain,
le(A,max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187))),
inference(resolve,[$cnf( le(max(A,B),max(X_1188,max(max(max(max(X_1184,max(max(A,B),X_1183)),X_1185),X_1186),X_1187))) )],[refute_0_86,refute_0_70]) ).
cnf(refute_0_88,plain,
le(s(A0),max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))),
inference(subst,[],[refute_0_87:[bind(A,$fot(s(A0))),bind(B,$fot(X_1190)),bind(X_1183,$fot(X_1191)),bind(X_1184,$fot(X_1192)),bind(X_1185,$fot(X_1193)),bind(X_1186,$fot(X_1194)),bind(X_1187,$fot(X_1195)),bind(X_1188,$fot(X_1196))]]) ).
cnf(refute_0_89,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))),a0) ),
inference(resolve,[$cnf( le(s(A0),max(X_1196,max(max(max(max(X_1192,max(max(s(A0),X_1190),X_1191)),X_1193),X_1194),X_1195))) )],[refute_0_88,refute_0_69]) ).
cnf(refute_0_90,plain,
( ~ eq(f(X_54373),a0)
| ~ eq(f(max(max(s(X_9969),s(max(X_570,s(X_571)))),max(max(max(max(X_54376,max(max(s(X_54373),X_54374),X_54375)),X_54377),X_54378),X_54379))),a0) ),
inference(subst,[],[refute_0_89:[bind(A0,$fot(X_54373)),bind(X_1190,$fot(X_54374)),bind(X_1191,$fot(X_54375)),bind(X_1192,$fot(X_54376)),bind(X_1193,$fot(X_54377)),bind(X_1194,$fot(X_54378)),bind(X_1195,$fot(X_54379)),bind(X_1196,$fot(max(s(X_9969),s(max(X_570,s(X_571))))))]]) ).
cnf(refute_0_91,plain,
( ~ eq(f(X_54373),a0)
| eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_9969),s(max(X_570,s(X_571)))),max(max(max(max(X_54376,max(max(s(X_54373),X_54374),X_54375)),X_54377),X_54378),X_54379))),a0) )],[refute_0_68,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ eq(f(s(X_54683)),a0)
| eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0) ),
inference(subst,[],[refute_0_91:[bind(X_54373,$fot(s(X_54683)))]]) ).
cnf(refute_0_93,plain,
( eq(f(X_149),a0)
| eq(f(X_149),a1)
| eq(f(X_149),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(X_149))]]) ).
cnf(refute_0_94,plain,
( eq(f(s(X_63)),a0)
| eq(f(s(X_63)),a1)
| eq(f(s(X_63)),a2) ),
inference(subst,[],[sos_04:[bind(A,$fot(s(X_63)))]]) ).
cnf(refute_0_95,plain,
le(s(X_61),s(X_61)),
inference(subst,[],[sos_01:[bind(A,$fot(s(X_61)))]]) ).
cnf(refute_0_96,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(s(X_61)),a2)
| ~ le(s(X_61),s(X_61)) ),
inference(subst,[],[sos_07:[bind(A0,$fot(X_61)),bind(A1,$fot(s(X_61)))]]) ).
cnf(refute_0_97,plain,
( ~ eq(f(X_61),a2)
| ~ eq(f(s(X_61)),a2) ),
inference(resolve,[$cnf( le(s(X_61),s(X_61)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ eq(f(X_63),a2)
| ~ eq(f(s(X_63)),a2) ),
inference(subst,[],[refute_0_97:[bind(X_61,$fot(X_63))]]) ).
cnf(refute_0_99,plain,
( ~ eq(f(X_63),a2)
| eq(f(s(X_63)),a0)
| eq(f(s(X_63)),a1) ),
inference(resolve,[$cnf( eq(f(s(X_63)),a2) )],[refute_0_94,refute_0_98]) ).
cnf(refute_0_100,plain,
( ~ eq(f(X_149),a2)
| eq(f(s(X_149)),a0)
| eq(f(s(X_149)),a1) ),
inference(subst,[],[refute_0_99:[bind(X_63,$fot(X_149))]]) ).
cnf(refute_0_101,plain,
( eq(f(X_149),a0)
| eq(f(X_149),a1)
| eq(f(s(X_149)),a0)
| eq(f(s(X_149)),a1) ),
inference(resolve,[$cnf( eq(f(X_149),a2) )],[refute_0_93,refute_0_100]) ).
cnf(refute_0_102,plain,
le(s(X_58),max(X_28,max(s(X_58),B))),
inference(subst,[],[refute_0_77:[bind(A,$fot(s(X_58)))]]) ).
cnf(refute_0_103,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(X_28,max(s(X_58),B))),a1)
| ~ le(s(X_58),max(X_28,max(s(X_58),B))) ),
inference(subst,[],[sos_06:[bind(A0,$fot(X_58)),bind(A1,$fot(max(X_28,max(s(X_58),B))))]]) ).
cnf(refute_0_104,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(X_28,max(s(X_58),B))),a1) ),
inference(resolve,[$cnf( le(s(X_58),max(X_28,max(s(X_58),B))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(max(s(X_1665),X_1663),max(s(X_58),B))),a1) ),
inference(subst,[],[refute_0_104:[bind(X_28,$fot(max(s(X_1665),X_1663)))]]) ).
cnf(refute_0_106,plain,
( eq(f(X_1665),a0)
| eq(f(X_1665),a1)
| eq(f(max(max(s(X_1665),X_1663),max(s(X_58),B))),a0)
| eq(f(max(max(s(X_1665),X_1663),max(s(X_58),B))),a1) ),
inference(subst,[],[refute_0_63:[bind(X_1110,$fot(X_1663)),bind(X_1111,$fot(max(s(X_58),B))),bind(X_1112,$fot(X_1665))]]) ).
cnf(refute_0_107,plain,
( ~ eq(f(X_58),a1)
| eq(f(X_1665),a0)
| eq(f(X_1665),a1)
| eq(f(max(max(s(X_1665),X_1663),max(s(X_58),B))),a0) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_1665),X_1663),max(s(X_58),B))),a1) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
( ~ eq(f(s(X_149)),a1)
| eq(f(X_20106),a0)
| eq(f(X_20106),a1)
| eq(f(max(max(s(X_20106),X_20105),max(s(s(X_149)),X_20104))),a0) ),
inference(subst,[],[refute_0_107:[bind(B,$fot(X_20104)),bind(X_1663,$fot(X_20105)),bind(X_1665,$fot(X_20106)),bind(X_58,$fot(s(X_149)))]]) ).
cnf(refute_0_109,plain,
( eq(f(X_149),a0)
| eq(f(X_149),a1)
| eq(f(X_20106),a0)
| eq(f(X_20106),a1)
| eq(f(max(max(s(X_20106),X_20105),max(s(s(X_149)),X_20104))),a0)
| eq(f(s(X_149)),a0) ),
inference(resolve,[$cnf( eq(f(s(X_149)),a1) )],[refute_0_101,refute_0_108]) ).
cnf(refute_0_110,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),a0)
| ~ le(s(A0),max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))) ),
inference(subst,[],[sos_05:[bind(A1,$fot(max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))))]]) ).
cnf(refute_0_111,plain,
( ~ le(max(A,B),max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655))))
| le(A,max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655)))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655)))))]]) ).
cnf(refute_0_112,plain,
( ~ le(max(A,B),max(X_230,max(X_229,max(max(max(A,B),X_227),X_228))))
| le(A,max(X_230,max(X_229,max(max(max(A,B),X_227),X_228)))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_230,max(X_229,max(max(max(A,B),X_227),X_228)))))]]) ).
cnf(refute_0_113,plain,
( ~ le(max(A,B),max(X_98,max(X_97,max(max(A,B),X_96))))
| le(A,max(X_98,max(X_97,max(max(A,B),X_96)))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_98,max(X_97,max(max(A,B),X_96)))))]]) ).
cnf(refute_0_114,plain,
( ~ le(max(A,B),max(X_50,max(X_48,max(A,B))))
| le(A,max(X_50,max(X_48,max(A,B)))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_50,max(X_48,max(A,B)))))]]) ).
cnf(refute_0_115,plain,
( ~ le(max(A,B),max(X_28,max(A,B)))
| le(B,max(X_28,max(A,B))) ),
inference(subst,[],[sos_03:[bind(C,$fot(max(X_28,max(A,B))))]]) ).
cnf(refute_0_116,plain,
le(B,max(X_28,max(A,B))),
inference(resolve,[$cnf( le(max(A,B),max(X_28,max(A,B))) )],[refute_0_76,refute_0_115]) ).
cnf(refute_0_117,plain,
le(max(A,B),max(X_50,max(X_48,max(A,B)))),
inference(subst,[],[refute_0_116:[bind(A,$fot(X_48)),bind(B,$fot(max(A,B))),bind(X_28,$fot(X_50))]]) ).
cnf(refute_0_118,plain,
le(A,max(X_50,max(X_48,max(A,B)))),
inference(resolve,[$cnf( le(max(A,B),max(X_50,max(X_48,max(A,B)))) )],[refute_0_117,refute_0_114]) ).
cnf(refute_0_119,plain,
le(max(A,B),max(X_98,max(X_97,max(max(A,B),X_96)))),
inference(subst,[],[refute_0_118:[bind(A,$fot(max(A,B))),bind(B,$fot(X_96)),bind(X_48,$fot(X_97)),bind(X_50,$fot(X_98))]]) ).
cnf(refute_0_120,plain,
le(A,max(X_98,max(X_97,max(max(A,B),X_96)))),
inference(resolve,[$cnf( le(max(A,B),max(X_98,max(X_97,max(max(A,B),X_96)))) )],[refute_0_119,refute_0_113]) ).
cnf(refute_0_121,plain,
le(max(A,B),max(X_230,max(X_229,max(max(max(A,B),X_227),X_228)))),
inference(subst,[],[refute_0_120:[bind(A,$fot(max(A,B))),bind(B,$fot(X_227)),bind(X_96,$fot(X_228)),bind(X_97,$fot(X_229)),bind(X_98,$fot(X_230))]]) ).
cnf(refute_0_122,plain,
le(A,max(X_230,max(X_229,max(max(max(A,B),X_227),X_228)))),
inference(resolve,[$cnf( le(max(A,B),max(X_230,max(X_229,max(max(max(A,B),X_227),X_228)))) )],[refute_0_121,refute_0_112]) ).
cnf(refute_0_123,plain,
le(max(A,B),max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655)))),
inference(subst,[],[refute_0_122:[bind(A,$fot(max(A,B))),bind(B,$fot(X_653)),bind(X_227,$fot(X_654)),bind(X_228,$fot(X_655)),bind(X_229,$fot(X_656)),bind(X_230,$fot(X_657))]]) ).
cnf(refute_0_124,plain,
le(A,max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655)))),
inference(resolve,[$cnf( le(max(A,B),max(X_657,max(X_656,max(max(max(max(A,B),X_653),X_654),X_655)))) )],[refute_0_123,refute_0_111]) ).
cnf(refute_0_125,plain,
le(s(A0),max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),
inference(subst,[],[refute_0_124:[bind(A,$fot(s(A0))),bind(B,$fot(X_1436)),bind(X_653,$fot(X_1437)),bind(X_654,$fot(X_1438)),bind(X_655,$fot(X_1439)),bind(X_656,$fot(X_1440)),bind(X_657,$fot(X_1441))]]) ).
cnf(refute_0_126,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),a0) ),
inference(resolve,[$cnf( le(s(A0),max(X_1441,max(X_1440,max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))) )],[refute_0_125,refute_0_110]) ).
cnf(refute_0_127,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(max(s(X_52591),X_52590),max(s(s(X_52588)),max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),a0) ),
inference(subst,[],[refute_0_126:[bind(X_1440,$fot(s(s(X_52588)))),bind(X_1441,$fot(max(s(X_52591),X_52590)))]]) ).
cnf(refute_0_128,plain,
( eq(f(X_52588),a0)
| eq(f(X_52588),a1)
| eq(f(X_52591),a0)
| eq(f(X_52591),a1)
| eq(f(max(max(s(X_52591),X_52590),max(s(s(X_52588)),max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),a0)
| eq(f(s(X_52588)),a0) ),
inference(subst,[],[refute_0_109:[bind(X_149,$fot(X_52588)),bind(X_20104,$fot(max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439))),bind(X_20105,$fot(X_52590)),bind(X_20106,$fot(X_52591))]]) ).
cnf(refute_0_129,plain,
( ~ eq(f(A0),a0)
| eq(f(X_52588),a0)
| eq(f(X_52588),a1)
| eq(f(X_52591),a0)
| eq(f(X_52591),a1)
| eq(f(s(X_52588)),a0) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_52591),X_52590),max(s(s(X_52588)),max(max(max(max(s(A0),X_1436),X_1437),X_1438),X_1439)))),a0) )],[refute_0_128,refute_0_127]) ).
cnf(refute_0_130,plain,
( ~ eq(f(max(max(s(X_20106),X_20105),max(s(s(X_149)),X_20104))),a0)
| eq(f(X_54681),a0)
| eq(f(X_54681),a1)
| eq(f(X_54682),a0)
| eq(f(X_54682),a1)
| eq(f(s(X_54681)),a0) ),
inference(subst,[],[refute_0_129:[bind(A0,$fot(max(max(s(X_20106),X_20105),max(s(s(X_149)),X_20104)))),bind(X_52588,$fot(X_54681)),bind(X_52591,$fot(X_54682))]]) ).
cnf(refute_0_131,plain,
( eq(f(X_149),a0)
| eq(f(X_149),a1)
| eq(f(X_20106),a0)
| eq(f(X_20106),a1)
| eq(f(X_54681),a0)
| eq(f(X_54681),a1)
| eq(f(X_54682),a0)
| eq(f(X_54682),a1)
| eq(f(s(X_149)),a0)
| eq(f(s(X_54681)),a0) ),
inference(resolve,[$cnf( eq(f(max(max(s(X_20106),X_20105),max(s(s(X_149)),X_20104))),a0) )],[refute_0_109,refute_0_130]) ).
cnf(refute_0_132,plain,
( eq(f(X_54683),a0)
| eq(f(X_54683),a1)
| eq(f(X_54684),a0)
| eq(f(X_54684),a1)
| eq(f(s(X_54683)),a0) ),
inference(subst,[],[refute_0_131:[bind(X_149,$fot(X_54683)),bind(X_20106,$fot(X_54684)),bind(X_54681,$fot(X_54683)),bind(X_54682,$fot(X_54684))]]) ).
cnf(refute_0_133,plain,
( eq(f(X_54683),a0)
| eq(f(X_54683),a1)
| eq(f(X_54684),a0)
| eq(f(X_54684),a1)
| eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0) ),
inference(resolve,[$cnf( eq(f(s(X_54683)),a0) )],[refute_0_132,refute_0_92]) ).
cnf(refute_0_134,plain,
( eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1)
| eq(f(max(X_570,s(X_571))),a0) ),
inference(subst,[],[refute_0_133:[bind(X_54683,$fot(X_9969)),bind(X_54684,$fot(X_9969))]]) ).
cnf(refute_0_135,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),s(X_54686))),a0) ),
inference(subst,[],[refute_0_35:[bind(X_19521,$fot(s(X_54686)))]]) ).
cnf(refute_0_136,plain,
( eq(f(X_54686),a0)
| eq(f(X_54686),a1)
| eq(f(X_54687),a0)
| eq(f(X_54687),a1)
| eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),s(X_54686))),a0) ),
inference(subst,[],[refute_0_133:[bind(X_54683,$fot(X_54687)),bind(X_54684,$fot(X_54687)),bind(X_570,$fot(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520))),bind(X_571,$fot(X_54686)),bind(X_9969,$fot(X_54687))]]) ).
cnf(refute_0_137,plain,
( ~ eq(f(A0),a0)
| eq(f(X_54686),a0)
| eq(f(X_54686),a1)
| eq(f(X_54687),a0)
| eq(f(X_54687),a1) ),
inference(resolve,[$cnf( eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),s(X_54686))),a0) )],[refute_0_136,refute_0_135]) ).
cnf(refute_0_138,plain,
( ~ eq(f(max(X_570,s(X_571))),a0)
| eq(f(X_54689),a0)
| eq(f(X_54689),a1)
| eq(f(X_54690),a0)
| eq(f(X_54690),a1) ),
inference(subst,[],[refute_0_137:[bind(A0,$fot(max(X_570,s(X_571)))),bind(X_54686,$fot(X_54690)),bind(X_54687,$fot(X_54689))]]) ).
cnf(refute_0_139,plain,
( eq(f(X_54689),a0)
| eq(f(X_54689),a1)
| eq(f(X_54690),a0)
| eq(f(X_54690),a1)
| eq(f(X_571),a0)
| eq(f(X_571),a1)
| eq(f(X_9969),a0)
| eq(f(X_9969),a1) ),
inference(resolve,[$cnf( eq(f(max(X_570,s(X_571))),a0) )],[refute_0_134,refute_0_138]) ).
cnf(refute_0_140,plain,
( eq(f(X_54695),a0)
| eq(f(X_54695),a1) ),
inference(subst,[],[refute_0_139:[bind(X_54689,$fot(X_54695)),bind(X_54690,$fot(X_54695)),bind(X_571,$fot(X_54695)),bind(X_9969,$fot(X_54695))]]) ).
cnf(refute_0_141,plain,
le(s(X_58),max(s(X_58),X_3)),
inference(subst,[],[refute_0_13:[bind(X_2,$fot(s(X_58)))]]) ).
cnf(refute_0_142,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(s(X_58),X_3)),a1)
| ~ le(s(X_58),max(s(X_58),X_3)) ),
inference(subst,[],[sos_06:[bind(A0,$fot(X_58)),bind(A1,$fot(max(s(X_58),X_3)))]]) ).
cnf(refute_0_143,plain,
( ~ eq(f(X_58),a1)
| ~ eq(f(max(s(X_58),X_3)),a1) ),
inference(resolve,[$cnf( le(s(X_58),max(s(X_58),X_3)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( eq(f(max(s(X_58),X_3)),a0)
| eq(f(max(s(X_58),X_3)),a1) ),
inference(subst,[],[refute_0_139:[bind(X_54689,$fot(max(s(X_58),X_3))),bind(X_54690,$fot(max(s(X_58),X_3))),bind(X_571,$fot(max(s(X_58),X_3))),bind(X_9969,$fot(max(s(X_58),X_3)))]]) ).
cnf(refute_0_145,plain,
( ~ eq(f(X_58),a1)
| eq(f(max(s(X_58),X_3)),a0) ),
inference(resolve,[$cnf( eq(f(max(s(X_58),X_3)),a1) )],[refute_0_144,refute_0_143]) ).
cnf(refute_0_146,plain,
( ~ eq(f(X_54695),a1)
| eq(f(max(s(X_54695),X_54694)),a0) ),
inference(subst,[],[refute_0_145:[bind(X_3,$fot(X_54694)),bind(X_58,$fot(X_54695))]]) ).
cnf(refute_0_147,plain,
( eq(f(X_54695),a0)
| eq(f(max(s(X_54695),X_54694)),a0) ),
inference(resolve,[$cnf( eq(f(X_54695),a1) )],[refute_0_140,refute_0_146]) ).
cnf(refute_0_148,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),a0)
| ~ le(s(A0),max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))) ),
inference(subst,[],[sos_05:[bind(A1,$fot(max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))))]]) ).
cnf(refute_0_149,plain,
( ~ le(max(A,B),max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522)))
| le(A,max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522))))]]) ).
cnf(refute_0_150,plain,
( ~ le(max(A,B),max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174)))
| le(A,max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174))))]]) ).
cnf(refute_0_151,plain,
( ~ le(max(A,B),max(X_169,max(max(max(max(A,B),X_166),X_167),X_168)))
| le(A,max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))) ),
inference(subst,[],[sos_02:[bind(C,$fot(max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))))]]) ).
cnf(refute_0_152,plain,
le(A,max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))),
inference(resolve,[$cnf( le(max(A,B),max(X_169,max(max(max(max(A,B),X_166),X_167),X_168))) )],[refute_0_82,refute_0_151]) ).
cnf(refute_0_153,plain,
le(max(A,B),max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174))),
inference(subst,[],[refute_0_152:[bind(A,$fot(max(A,B))),bind(B,$fot(X_171)),bind(X_166,$fot(X_172)),bind(X_167,$fot(X_173)),bind(X_168,$fot(X_174)),bind(X_169,$fot(X_175))]]) ).
cnf(refute_0_154,plain,
le(A,max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174))),
inference(resolve,[$cnf( le(max(A,B),max(X_175,max(max(max(max(max(A,B),X_171),X_172),X_173),X_174))) )],[refute_0_153,refute_0_150]) ).
cnf(refute_0_155,plain,
le(max(A,B),max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522))),
inference(subst,[],[refute_0_154:[bind(A,$fot(max(A,B))),bind(B,$fot(X_1518)),bind(X_171,$fot(X_1519)),bind(X_172,$fot(X_1520)),bind(X_173,$fot(X_1521)),bind(X_174,$fot(X_1522)),bind(X_175,$fot(X_1523))]]) ).
cnf(refute_0_156,plain,
le(A,max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522))),
inference(resolve,[$cnf( le(max(A,B),max(X_1523,max(max(max(max(max(max(A,B),X_1518),X_1519),X_1520),X_1521),X_1522))) )],[refute_0_155,refute_0_149]) ).
cnf(refute_0_157,plain,
le(s(A0),max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),
inference(subst,[],[refute_0_156:[bind(A,$fot(s(A0))),bind(B,$fot(X_1525)),bind(X_1518,$fot(X_1526)),bind(X_1519,$fot(X_1527)),bind(X_1520,$fot(X_1528)),bind(X_1521,$fot(X_1529)),bind(X_1522,$fot(X_1530)),bind(X_1523,$fot(X_1531))]]) ).
cnf(refute_0_158,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),a0) ),
inference(resolve,[$cnf( le(s(A0),max(X_1531,max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))) )],[refute_0_157,refute_0_148]) ).
cnf(refute_0_159,plain,
( ~ eq(f(A0),a0)
| ~ eq(f(max(s(X_54697),max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),a0) ),
inference(subst,[],[refute_0_158:[bind(X_1531,$fot(s(X_54697)))]]) ).
cnf(refute_0_160,plain,
( eq(f(X_54697),a0)
| eq(f(max(s(X_54697),max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),a0) ),
inference(subst,[],[refute_0_147:[bind(X_54694,$fot(max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),bind(X_54695,$fot(X_54697))]]) ).
cnf(refute_0_161,plain,
( ~ eq(f(A0),a0)
| eq(f(X_54697),a0) ),
inference(resolve,[$cnf( eq(f(max(s(X_54697),max(max(max(max(max(max(s(A0),X_1525),X_1526),X_1527),X_1528),X_1529),X_1530))),a0) )],[refute_0_160,refute_0_159]) ).
cnf(refute_0_162,plain,
( ~ eq(f(max(s(X_54695),X_54694)),a0)
| eq(f(X_54699),a0) ),
inference(subst,[],[refute_0_161:[bind(A0,$fot(max(s(X_54695),X_54694))),bind(X_54697,$fot(X_54699))]]) ).
cnf(refute_0_163,plain,
( eq(f(X_54695),a0)
| eq(f(X_54699),a0) ),
inference(resolve,[$cnf( eq(f(max(s(X_54695),X_54694)),a0) )],[refute_0_147,refute_0_162]) ).
cnf(refute_0_164,plain,
eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)),a0),
inference(subst,[],[refute_0_163:[bind(X_54695,$fot(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521))),bind(X_54699,$fot(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)))]]) ).
cnf(refute_0_165,plain,
~ eq(f(A0),a0),
inference(resolve,[$cnf( eq(f(max(max(max(max(max(max(max(max(max(max(max(X_19510,s(A0)),X_19512),X_19513),X_19514),X_19515),X_19516),X_19517),X_19518),X_19519),X_19520),X_19521)),a0) )],[refute_0_164,refute_0_35]) ).
cnf(refute_0_166,plain,
eq(f(A0),a0),
inference(subst,[],[refute_0_163:[bind(X_54695,$fot(A0)),bind(X_54699,$fot(A0))]]) ).
cnf(refute_0_167,plain,
$false,
inference(resolve,[$cnf( eq(f(A0),a0) )],[refute_0_166,refute_0_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO617-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 16:06:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.03/14.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.03/14.21
% 14.03/14.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.03/14.24
%------------------------------------------------------------------------------