TSTP Solution File: ITP238^3 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP238^3 : 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 : 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 : Sun Jul 17 00:29:55 EDT 2022
% Result : Timeout 287.28s 284.82s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 175 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 137 ( 23 ~; 15 |; 0 &; 92 @)
% ( 0 <=>; 5 =>; 2 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 24 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_1,conjecture,
thesis ).
thf(h0,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(pax3,axiom,
( p3
=> ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ) ),
file('<stdin>',pax3) ).
thf(nax1,axiom,
( p1
<= fthesis ),
file('<stdin>',nax1) ).
thf(ax1472,axiom,
~ p1,
file('<stdin>',ax1472) ).
thf(pax1035,axiom,
( p1035
=> ! [X37: nat] :
( ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
= ( fsome_nat @ X37 ) )
=> fthesis ) ),
file('<stdin>',pax1035) ).
thf(ax1470,axiom,
p3,
file('<stdin>',ax1470) ).
thf(pax194,axiom,
( p194
=> ! [X389: option_nat] :
( ( X389 != fnone_nat )
=> ( X389
= ( fsome_nat @ ( fthe_nat @ X389 ) ) ) ) ),
file('<stdin>',pax194) ).
thf(nax2,axiom,
( p2
<= ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
= fnone_nat ) ),
file('<stdin>',nax2) ).
thf(ax1471,axiom,
~ p2,
file('<stdin>',ax1471) ).
thf(ax438,axiom,
p1035,
file('<stdin>',ax438) ).
thf(ax1279,axiom,
p194,
file('<stdin>',ax1279) ).
thf(c_0_10,plain,
( ~ p3
| ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ) ),
inference(fof_nnf,[status(thm)],[pax3]) ).
thf(c_0_11,plain,
( ~ fthesis
| p1 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])]) ).
thf(c_0_12,plain,
~ p1,
inference(fof_simplification,[status(thm)],[ax1472]) ).
thf(c_0_13,plain,
! [X1219: nat] :
( ~ p1035
| ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
!= ( fsome_nat @ X1219 ) )
| fthesis ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1035])])]) ).
thf(c_0_14,plain,
( ( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna )
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
p3,
inference(split_conjunct,[status(thm)],[ax1470]) ).
thf(c_0_16,plain,
( p1
| ~ fthesis ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
~ p1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X3135: option_nat] :
( ~ p194
| ( X3135 = fnone_nat )
| ( X3135
= ( fsome_nat @ ( fthe_nat @ X3135 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax194])])])]) ).
thf(c_0_19,plain,
( ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
!= fnone_nat )
| p2 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])]) ).
thf(c_0_20,plain,
~ p2,
inference(fof_simplification,[status(thm)],[ax1471]) ).
thf(c_0_21,plain,
! [X3: nat] :
( fthesis
| ~ p1035
| ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
!= ( fsome_nat @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_22,plain,
( ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) )
= fna ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_23,plain,
p1035,
inference(split_conjunct,[status(thm)],[ax438]) ).
thf(c_0_24,plain,
~ fthesis,
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_25,plain,
! [X389: option_nat] :
( ( X389 = fnone_nat )
| ( X389
= ( fsome_nat @ ( fthe_nat @ X389 ) ) )
| ~ p194 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_26,plain,
p194,
inference(split_conjunct,[status(thm)],[ax1279]) ).
thf(c_0_27,plain,
( p2
| ( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ ( fdivide_divide_nat @ fdeg @ ( fnumeral_numeral_nat @ ( fbit0 @ fone ) ) ) ) ) )
!= fnone_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_28,plain,
~ p2,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_29,plain,
! [X3: nat] :
( ( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ fna ) ) )
!= ( fsome_nat @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]) ).
thf(c_0_30,plain,
! [X389: option_nat] :
( ( ( fsome_nat @ ( fthe_nat @ X389 ) )
= X389 )
| ( X389 = fnone_nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
thf(c_0_31,plain,
( fvEBT_vebt_mint @ ( fnth_VEBT_VEBT @ ftreeList @ ( fvEBT_VEBT_high @ fxa @ fna ) ) )
!= fnone_nat,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_28]) ).
thf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30])]),c_0_31]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
thesis,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP238^3 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %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 : Fri Jun 3 05:40:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 287.28/284.82 % SZS status Theorem
% 287.28/284.82 % Mode: mode503:USE_SINE=true:SINE_TOLERANCE=5.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 287.28/284.82 % Inferences: 200
% 287.28/284.82 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------