TSTP Solution File: ITP227^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP227^1 : 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 : n027.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 00:29:47 EDT 2022
% Result : Theorem 0.66s 0.93s
% Output : Proof 0.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_vEBT_VEBT,type,
vEBT_VEBT: $tType ).
thf(ty_list_VEBT_VEBT,type,
list_VEBT_VEBT: $tType ).
thf(ty_nat,type,
nat: $tType ).
thf(ty_set_VEBT_VEBT,type,
set_VEBT_VEBT: $tType ).
thf(ty_num,type,
num: $tType ).
thf(ty_nth_VEBT_VEBT,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(ty_vEBT_VEBT_high,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(ty_numeral_numeral_nat,type,
numeral_numeral_nat: num > nat ).
thf(ty_treeList,type,
treeList: list_VEBT_VEBT ).
thf(ty_bit0,type,
bit0: num > num ).
thf(ty_member_VEBT_VEBT,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(ty_mi,type,
mi: nat ).
thf(ty_na,type,
na: nat ).
thf(ty_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(ty_set_VEBT_VEBT2,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(ty_xa,type,
xa: nat ).
thf(ty_vEBT_VEBT_low,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(ty_one,type,
one: num ).
thf(ty_vEBT_V8194947554948674370ptions,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(ty_power_power_nat,type,
power_power_nat: nat > nat > nat ).
thf(ty_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(ty_ma,type,
ma: nat ).
thf(ty_m,type,
m: nat ).
thf(sP1,plain,
( sP1
<=> ( xa = mi ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( xa = ma ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( mi = ma ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(conj_0,conjecture,
~ ( ~ sP1
=> sP2 ) ).
thf(h0,negated_conjecture,
( ~ sP1
=> sP2 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
sP2,
introduced(assumption,[]) ).
thf(h3,assumption,
sP3,
introduced(assumption,[]) ).
thf(h4,assumption,
! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high @ ma @ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ ma @ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ mi @ X2 )
=> ~ ( ord_less_eq_nat @ X2 @ ma ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h6,assumption,
! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h5,h3,h1,h0])],[h3,h5]) ).
thf(fact_0_False,axiom,
~ ( ~ sP1
=> sP2 ) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,1,h7,h8]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h6,h3,h1,h0])],[h1,h7]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,3,h7,h8]) ).
thf(fact_2__C5_Ohyps_C_I6_J,axiom,
( sP3
=> ! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ) ) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_2__C5_Ohyps_C_I6_J,2,4,h5,h6]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h5,h4,h1,h0])],[h1,h7]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h4,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,6,h7,h8]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h6,h4,h1,h0])],[h1,h7]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,8,h7,h8]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_2__C5_Ohyps_C_I6_J,7,9,h5,h6]) ).
thf(fact_89__C5_Ohyps_C_I9_J,axiom,
( ~ sP3
=> ! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high @ ma @ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ ma @ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ mi @ X2 )
=> ~ ( ord_less_eq_nat @ X2 @ ma ) ) ) ) ) ) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_89__C5_Ohyps_C_I9_J,5,10,h3,h4]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h5,h3,h2,h0])],[h3,h5]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h3,h2,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,12,h7,h8]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h6,h3,h2,h0])],[h2,h8]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h3,h2,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,14,h7,h8]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_2__C5_Ohyps_C_I6_J,13,15,h5,h6]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h5,h4,h2,h0])],[h2,h8]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h4,h2,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,17,h7,h8]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h6,h4,h2,h0])],[h2,h8]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h2,h0]),tab_negimp(discharge,[h7,h8])],[fact_0_False,19,h7,h8]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_2__C5_Ohyps_C_I6_J,18,20,h5,h6]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_89__C5_Ohyps_C_I9_J,16,21,h3,h4]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,11,22,h1,h2]) ).
thf(0,theorem,
~ ( ~ sP1
=> sP2 ),
inference(contra,[status(thm),contra(discharge,[h0])],[23,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP227^1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n027.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 05:07:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.66/0.93 % SZS status Theorem
% 0.66/0.93 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.66/0.93 % Inferences: 0
% 0.66/0.93 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------