TSTP Solution File: ITP257^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP257^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.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 : Sun Jul 17 00:30:10 EDT 2022
% Result : Theorem 46.87s 46.94s
% Output : Proof 46.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 61 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 1048 ( 38 equ; 0 cnn)
% Maximal formula atoms : 2 ( 17 avg)
% Number of connectives : 947 ( 26 ~; 18 |; 0 &; 894 @)
% ( 0 <=>; 6 =>; 3 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 58 usr; 59 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ) ).
thf(h0,negated_conjecture,
( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
!= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(pax19,axiom,
( p19
=> ( ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx )
= fma ) ),
file('<stdin>',pax19) ).
thf(nax22,axiom,
( p22
<= ! [X1602: nat] :
( ( fsome_nat @ X1602 )
!= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ),
file('<stdin>',nax22) ).
thf(ax1443,axiom,
p19,
file('<stdin>',ax1443) ).
thf(ax1440,axiom,
~ p22,
file('<stdin>',ax1440) ).
thf(pax18,axiom,
( p18
=> ( ( fsome_nat @ fmaxs )
= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ),
file('<stdin>',pax18) ).
thf(pax267,axiom,
( p267
=> ! [X1381: nat] :
( ( fthe_nat @ ( fsome_nat @ X1381 ) )
= X1381 ) ),
file('<stdin>',pax267) ).
thf(nax55,axiom,
( p55
<= ! [X1564: nat] :
( ( fsome_nat @ X1564 )
!= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) ) ),
file('<stdin>',nax55) ).
thf(ax1407,axiom,
~ p55,
file('<stdin>',ax1407) ).
thf(pax7,axiom,
( p7
=> ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ) ),
file('<stdin>',pax7) ).
thf(pax12,axiom,
( p12
=> ( ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) )
= ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) ),
file('<stdin>',pax12) ).
thf(ax1444,axiom,
p18,
file('<stdin>',ax1444) ).
thf(ax1195,axiom,
p267,
file('<stdin>',ax1195) ).
thf(pax16,axiom,
( p16
=> ( ( fsome_nat @ fmaxi )
= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) ) ),
file('<stdin>',pax16) ).
thf(nax1,axiom,
( p1
<= ( ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) ) ) )
= ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) @ fmaxs ) @ fmaxi ) ) ),
file('<stdin>',nax1) ).
thf(ax1455,axiom,
p7,
file('<stdin>',ax1455) ).
thf(ax1450,axiom,
p12,
file('<stdin>',ax1450) ).
thf(ax1446,axiom,
p16,
file('<stdin>',ax1446) ).
thf(ax1461,axiom,
~ p1,
file('<stdin>',ax1461) ).
thf(c_0_18,plain,
( ~ p19
| ( ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx )
= fma ) ),
inference(fof_nnf,[status(thm)],[pax19]) ).
thf(c_0_19,plain,
( ( ( fsome_nat @ esk2381_0 )
= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) )
| p22 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax22])])])]) ).
thf(c_0_20,plain,
( ( ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx )
= fma )
| ~ p19 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_21,plain,
p19,
inference(split_conjunct,[status(thm)],[ax1443]) ).
thf(c_0_22,plain,
~ p22,
inference(fof_simplification,[status(thm)],[ax1440]) ).
thf(c_0_23,plain,
( ~ p18
| ( ( fsome_nat @ fmaxs )
= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ),
inference(fof_nnf,[status(thm)],[pax18]) ).
thf(c_0_24,plain,
( ( ( fsome_nat @ esk2381_0 )
= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) )
| p22 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_25,plain,
( ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx )
= fma ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
thf(c_0_26,plain,
~ p22,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_27,plain,
! [X5636: nat] :
( ~ p267
| ( ( fthe_nat @ ( fsome_nat @ X5636 ) )
= X5636 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax267])])]) ).
thf(c_0_28,plain,
( ( ( fsome_nat @ esk2329_0 )
= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) )
| p55 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax55])])])]) ).
thf(c_0_29,plain,
~ p55,
inference(fof_simplification,[status(thm)],[ax1407]) ).
thf(c_0_30,plain,
( ~ p7
| ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ) ),
inference(fof_nnf,[status(thm)],[pax7]) ).
thf(c_0_31,plain,
( ~ p12
| ( ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) )
= ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) ),
inference(fof_nnf,[status(thm)],[pax12]) ).
thf(c_0_32,plain,
( ( ( fsome_nat @ fmaxs )
= ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) )
| ~ p18 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_33,plain,
( ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ fma @ fna ) ) )
= ( fsome_nat @ esk2381_0 ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
thf(c_0_34,plain,
p18,
inference(split_conjunct,[status(thm)],[ax1444]) ).
thf(c_0_35,plain,
! [X30: nat] :
( ( ( fthe_nat @ ( fsome_nat @ X30 ) )
= X30 )
| ~ p267 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_36,plain,
p267,
inference(split_conjunct,[status(thm)],[ax1195]) ).
thf(c_0_37,plain,
( ~ p16
| ( ( fsome_nat @ fmaxi )
= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) ) ),
inference(fof_nnf,[status(thm)],[pax16]) ).
thf(c_0_38,plain,
( ( ( fsome_nat @ esk2329_0 )
= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) )
| p55 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_39,plain,
~ p55,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_40,plain,
( ( ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) ) ) )
!= ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) @ fmaxs ) @ fmaxi ) )
| p1 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])]) ).
thf(c_0_41,plain,
( ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna )
| ~ p7 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_42,plain,
p7,
inference(split_conjunct,[status(thm)],[ax1455]) ).
thf(c_0_43,plain,
( ( ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) )
= ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) )
| ~ p12 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_44,plain,
( ( fsome_nat @ esk2381_0 )
= ( fsome_nat @ fmaxs ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25]),c_0_33]),c_0_34])]) ).
thf(c_0_45,plain,
! [X30: nat] :
( ( fthe_nat @ ( fsome_nat @ X30 ) )
= X30 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
thf(c_0_46,plain,
p12,
inference(split_conjunct,[status(thm)],[ax1450]) ).
thf(c_0_47,plain,
( ( ( fsome_nat @ fmaxi )
= ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ) )
| ~ p16 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_48,plain,
( ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) )
= ( fsome_nat @ esk2329_0 ) ),
inference(sr,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_49,plain,
p16,
inference(split_conjunct,[status(thm)],[ax1446]) ).
thf(c_0_50,plain,
~ p1,
inference(fof_simplification,[status(thm)],[ax1461]) ).
thf(c_0_51,plain,
( p1
| ( ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) @ ( fvEBT_VEBT_low @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) @ ( fthe_nat @ ( fvEBT_vebt_maxt @ ( fvEBT_vebt_delete @ fsummary @ ( fvEBT_VEBT_high @ ( fplus_plus_nat @ ( ftimes_times_nat @ fsummin @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) ) @ flx ) @ fna ) ) ) ) ) ) ) )
!= ( fplus_plus_nat @ ( ftimes_times_nat @ ( fpower_power_nat @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) @ fna ) @ fmaxs ) @ fmaxi ) ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_52,plain,
( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
thf(c_0_53,plain,
( ( fnth_VEBT_VEBT @ ( flist_u1324408373059187874T_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fma @ fna ) @ ( fvEBT_vebt_delete @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fma @ fna ) ) @ ( fvEBT_VEBT_low @ fma @ fna ) ) ) @ fmaxs )
= ( fnth_VEBT_VEBT @ ftreeList @ fmaxs ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_33]),c_0_44]),c_0_45]),c_0_46])]) ).
thf(c_0_54,plain,
( ( fsome_nat @ esk2329_0 )
= ( fsome_nat @ fmaxi ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
thf(c_0_55,plain,
~ p1,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_56,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_25]),c_0_33]),c_0_44]),c_0_45]),c_0_25]),c_0_25]),c_0_25]),c_0_25]),c_0_33]),c_0_44]),c_0_45]),c_0_53]),c_0_48]),c_0_54]),c_0_45])]),c_0_55]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP257^1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 3 06:14:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 46.87/46.94 % SZS status Theorem
% 46.87/46.94 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.87/46.94 % Inferences: 0
% 46.87/46.94 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------