TSTP Solution File: SET907^7 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SET907^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -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 : 300s
% DateTime : Thu Aug 31 15:19:06 EDT 2023
% Result : Theorem 0.19s 0.75s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_mu,type,
mu: $tType ).
thf(ty_qmltpeq,type,
qmltpeq: mu > mu > $i > $o ).
thf(ty_eigen__1,type,
eigen__1: mu ).
thf(ty_in,type,
in: mu > mu > $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_set_union2,type,
set_union2: mu > mu > mu ).
thf(ty_eigen__2,type,
eigen__2: mu ).
thf(ty_subset,type,
subset: mu > mu > $i > $o ).
thf(ty_unordered_pair,type,
unordered_pair: mu > mu > mu ).
thf(ty_exists_in_world,type,
exists_in_world: mu > $i > $o ).
thf(ty_eigen__3,type,
eigen__3: mu ).
thf(sP1,plain,
( sP1
<=> ( in @ eigen__1 @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: mu,X2: mu] : ( exists_in_world @ ( unordered_pair @ X1 @ X2 ) @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 @ eigen__0 )
=> ~ ( sP1
=> ~ ( in @ eigen__3 @ eigen__2 @ eigen__0 ) ) )
=> ~ ( ~ ( sP1
=> ~ ( in @ eigen__3 @ eigen__2 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 @ eigen__0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i,X2: mu,X3: mu] : ( exists_in_world @ ( unordered_pair @ X2 @ X3 ) @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP1
=> ~ ( in @ eigen__3 @ eigen__2 @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( exists_in_world @ eigen__3 @ eigen__0 )
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ~ ( ( ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 @ eigen__0 )
=> ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ eigen__3 @ X1 @ eigen__0 ) ) )
=> ~ ( ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ eigen__3 @ X1 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 @ eigen__0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( exists_in_world @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: mu] : ( exists_in_world @ ( unordered_pair @ eigen__1 @ X1 ) @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i,X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ( ( ( subset @ ( unordered_pair @ X2 @ X3 ) @ X4 @ X1 )
=> ~ ( ( in @ X2 @ X4 @ X1 )
=> ~ ( in @ X3 @ X4 @ X1 ) ) )
=> ~ ( ~ ( ( in @ X2 @ X4 @ X1 )
=> ~ ( in @ X3 @ X4 @ X1 ) )
=> ( subset @ ( unordered_pair @ X2 @ X3 ) @ X4 @ X1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( in @ eigen__3 @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( sP7
=> ( ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 @ eigen__0 )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 ) @ eigen__2 @ eigen__0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( exists_in_world @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( exists_in_world @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $i,X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ( ( subset @ X2 @ X3 @ X1 )
=> ( qmltpeq @ ( set_union2 @ X2 @ X3 ) @ X3 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 @ eigen__0 )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 ) @ X1 @ eigen__0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( exists_in_world @ eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP7
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( sP13
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 ) @ eigen__2 @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( sP17
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ~ ( ( ( subset @ ( unordered_pair @ eigen__1 @ X1 ) @ X2 @ eigen__0 )
=> ~ ( ( in @ eigen__1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ X2 @ eigen__0 ) ) )
=> ~ ( ~ ( ( in @ eigen__1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ X2 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ eigen__1 @ X1 ) @ X2 @ eigen__0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ( subset @ X1 @ X2 @ eigen__0 )
=> ( qmltpeq @ ( set_union2 @ X1 @ X2 ) @ X2 @ eigen__0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ~ sP5
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ~ ( ( ( subset @ ( unordered_pair @ eigen__1 @ X1 ) @ X2 @ eigen__0 )
=> ~ ( ( in @ eigen__1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ X2 @ eigen__0 ) ) )
=> ~ ( ~ ( ( in @ eigen__1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ X2 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ eigen__1 @ X1 ) @ X2 @ eigen__0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ~ ( ( ( subset @ ( unordered_pair @ X1 @ X2 ) @ X3 @ eigen__0 )
=> ~ ( ( in @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X2 @ X3 @ eigen__0 ) ) )
=> ~ ( ~ ( ( in @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X2 @ X3 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ X1 @ X2 ) @ X3 @ eigen__0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( sP12
=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ~ ( ( ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 @ eigen__0 )
=> ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ eigen__3 @ X1 @ eigen__0 ) ) )
=> ~ ( ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ eigen__3 @ X1 @ eigen__0 ) )
=> ( subset @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ X1 @ eigen__0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ eigen__3 ) @ eigen__2 ) @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(def_mnot,definition,
( mnot
= ( ^ [X1: $i > $o,X2: $i] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_mor,definition,
( mor
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) ) ) ).
thf(def_mand,definition,
( mand
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mnot @ ( mor @ ( mnot @ X1 ) @ ( mnot @ X2 ) ) ) ) ) ).
thf(def_mimplies,definition,
( mimplies
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ ( mnot @ X1 ) @ X2 ) ) ) ).
thf(def_mequiv,definition,
( mequiv
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ ( mimplies @ X1 @ X2 ) @ ( mimplies @ X2 @ X1 ) ) ) ) ).
thf(def_mforall_ind,definition,
( mforall_ind
= ( ^ [X1: mu > $i > $o,X2: $i] :
! [X3: mu] :
( ^ [X4: $o,X5: $o] :
( X4
=> X5 )
@ ( exists_in_world @ X3 @ X2 )
@ ( X1 @ X3 @ X2 ) ) ) ) ).
thf(def_mvalid,definition,
( mvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] : ( X1 @ X2 ) ) ) ).
thf(t48_zfmisc_1,conjecture,
! [X1: $i,X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ( ~ ( ( in @ X2 @ X3 @ X1 )
=> ~ ( in @ X4 @ X3 @ X1 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X2 @ X4 ) @ X3 ) @ X3 @ X1 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i,X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ( ~ ( ( in @ X2 @ X3 @ X1 )
=> ~ ( in @ X4 @ X3 @ X1 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X2 @ X4 ) @ X3 ) @ X3 @ X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[t48_zfmisc_1]) ).
thf(h1,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( ~ ( ( in @ X1 @ X2 @ eigen__0 )
=> ~ ( in @ X3 @ X2 @ eigen__0 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X1 @ X3 ) @ X2 ) @ X2 @ eigen__0 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP17
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ X2 @ X1 @ eigen__0 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ X2 ) @ X1 ) @ X1 @ eigen__0 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP17,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ~ ( ( in @ eigen__1 @ X1 @ eigen__0 )
=> ~ ( in @ X2 @ X1 @ eigen__0 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ X2 ) @ X1 ) @ X1 @ eigen__0 ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( sP7
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ~ ( sP1
=> ~ ( in @ X1 @ eigen__2 @ eigen__0 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ X1 ) @ eigen__2 ) @ eigen__2 @ eigen__0 ) ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP7,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ~ ( sP1
=> ~ ( in @ X1 @ eigen__2 @ eigen__0 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ eigen__1 @ X1 ) @ eigen__2 ) @ eigen__2 @ eigen__0 ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ ( sP14
=> ( ~ sP5
=> sP27 ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
sP14,
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( ~ sP5
=> sP27 ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP27,
introduced(assumption,[]) ).
thf(h13,assumption,
sP1,
introduced(assumption,[]) ).
thf(h14,assumption,
sP10,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP19
| ~ sP13
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP11
| ~ sP7
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP16
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP25
| ~ sP12
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP21
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP5
| ~ sP1
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP22
| sP5
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( sP3
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP18
| ~ sP7
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP26
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP6
| ~ sP14
| sP26 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP23
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP20
| ~ sP17
| sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP24
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP2
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP4
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP15
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP9
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(t38_zfmisc_1,axiom,
sP9 ).
thf(t12_xboole_1,axiom,
sP15 ).
thf(existence_of_unordered_pair_ax,axiom,
sP4 ).
thf(20,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h3,h4,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,h3,h6,h9,h13,h14,h12,t38_zfmisc_1,t12_xboole_1,existence_of_unordered_pair_ax]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h8,h6,h7,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h11,20,h13,h14]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h8,h6,h7,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h11,h12])],[h10,21,h11,h12]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h6,h7,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h9,h10])],[h8,22,h9,h10]) ).
thf(24,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h7,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__3)],[h7,23,h8]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h6,h7])],[h5,24,h6,h7]) ).
thf(26,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__2)],[h4,25,h5]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,26,h3,h4]) ).
thf(28,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,27,h2]) ).
thf(29,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,28,h1]) ).
thf(0,theorem,
! [X1: $i,X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ( ~ ( ( in @ X2 @ X3 @ X1 )
=> ~ ( in @ X4 @ X3 @ X1 ) )
=> ( qmltpeq @ ( set_union2 @ ( unordered_pair @ X2 @ X4 ) @ X3 ) @ X3 @ X1 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[29,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET907^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 13:08:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.75 % SZS status Theorem
% 0.19/0.75 % Mode: cade22sinegrackle2x6978
% 0.19/0.75 % Steps: 4702
% 0.19/0.75 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------