%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU875^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n024.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 Oct 9 02:52:52 PM UTC 2025
% Result : Theorem 107.91s 108.12s
% Output : Proof 107.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 74
% Syntax : Number of formulae : 91 ( 25 unt; 0 typ; 3 def)
% Number of atoms : 281 ( 42 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 571 ( 182 ~; 34 |; 0 &; 158 @)
% ( 30 <=>; 167 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 40 usr; 36 con; 0-2 aty)
% Number of variables : 99 ( 28 ^; 71 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__6,type,
eigen__6: ( a > $o ) > $o ).
thf(ty_eigen__7,type,
eigen__7: a ).
thf(ty_eigen__1,type,
eigen__1: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a > $o ).
thf(ty_eigen__5,type,
eigen__5: a > $o ).
thf(ty_t,type,
t: a ).
thf(ty_cA,type,
cA: ( a > $o ) > $o ).
thf(h0,assumption,
! [X1: ( ( a > $o ) > $o ) > $o,X2: ( a > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__6,definition,
( eigen__6
= ( eps__0
@ ^ [X1: ( a > $o ) > $o] :
~ ( ~ ( ( X1
@ ^ [X2: a] : $false )
=> ~ ! [X2: a > $o] :
( ( X1 @ X2 )
=> ! [X3: a] :
( ( ~ $false
=> ( t = X3 ) )
=> ( X1
@ ^ [X4: a] :
( ~ ( X2 @ X4 )
=> ( X3 = X4 ) ) ) ) ) )
=> ( X1
@ ^ [X2: a] :
( ~ $false
=> ( t = X2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__6])]) ).
thf(h1,assumption,
! [X1: a > $o,X2: a] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__1 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__7,definition,
( eigen__7
= ( eps__1
@ ^ [X1: a] :
~ ( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__7])]) ).
thf(h2,assumption,
! [X1: ( a > $o ) > $o,X2: a > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__2 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__5,definition,
( eigen__5
= ( eps__2
@ ^ [X1: a > $o] :
~ ( ~ ( ( cA @ X1 )
=> ~ ! [X2: a] :
( ( ~ $false
=> ( t = X2 ) )
=> ( X1 @ X2 ) ) )
=> ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__5])]) ).
thf(sP1,plain,
( sP1
<=> ( ( ~ $false
=> ( t = eigen__7 ) )
=> ( eigen__1 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: ( a > $o ) > $o] :
( ~ ( ( X1
@ ^ [X2: a] : $false )
=> ~ ! [X2: a > $o] :
( ( X1 @ X2 )
=> ! [X3: a] :
( ( ~ $false
=> ( t = X3 ) )
=> ( X1
@ ^ [X4: a] :
( ~ ( X2 @ X4 )
=> ( X3 = X4 ) ) ) ) ) )
=> ( X1
@ ^ [X2: a] :
( ~ $false
=> ( t = X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( eigen__6
@ ^ [X1: a] : $false )
=> ~ ! [X1: a > $o] :
( ( eigen__6 @ X1 )
=> ! [X2: a] :
( ( ~ $false
=> ( t = X2 ) )
=> ( eigen__6
@ ^ [X3: a] :
( ~ ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ sP3
=> ( eigen__6
@ ^ [X1: a] :
( ~ $false
=> ( t = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( ( cA @ eigen__5 )
=> ~ ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__5 @ X1 ) ) )
=> ~ ( ( cA @ eigen__5 )
=> ~ ( eigen__5 @ t ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ~ ( sP2
=> ~ ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__1 @ X1 ) ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ! [X2: a] :
( ( ~ $false
=> ( t = X2 ) )
=> ( X1 @ X2 ) ) )
=> ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP2
=> ~ ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( ~ $false
=> ( t = t ) )
=> ( eigen__6
@ ^ [X1: a] :
( ~ $false
=> ( t = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( cA @ eigen__5 )
=> ~ ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( eigen__6
@ ^ [X1: a] :
( ~ $false
=> ( t = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( eigen__6
@ ^ [X1: a] : $false ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ $false
=> ( t = eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( ~ $false
=> ( t = t ) )
=> ( eigen__5 @ t ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ! [X2: a] :
( ( ~ $false
=> ( t = X2 ) )
=> ( X1 @ X2 ) ) )
=> ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP11
=> ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__6
@ ^ [X2: a] :
( ~ $false
=> ( X1 = X2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ $false
=> ( t = t ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__6
@ ^ [X2: a] :
( ~ $false
=> ( X1 = X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( t = eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: a] :
( ( ~ $false
=> ( t = X1 ) )
=> ( eigen__5 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: a > $o] :
( ~ ( ! [X2: ( a > $o ) > $o] :
( ~ ( ( X2
@ ^ [X3: a] : $false )
=> ~ ! [X3: a > $o] :
( ( X2 @ X3 )
=> ! [X4: a] :
( ( X1 @ X4 )
=> ( X2
@ ^ [X5: a] :
( ~ ( X3 @ X5 )
=> ( X4 = X5 ) ) ) ) ) )
=> ( X2 @ X1 ) )
=> ~ ! [X2: a] :
( ( X1 @ X2 )
=> ( eigen__1 @ X2 ) ) )
=> ~ ! [X2: a > $o] :
( ~ ( ( cA @ X2 )
=> ~ ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) ) )
=> ~ ( ( cA @ X2 )
=> ~ ( X2 @ t ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( cA @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( t = t ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( cA @ eigen__5 )
=> ~ ( eigen__5 @ t ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: a > $o] :
( ( eigen__6 @ X1 )
=> ! [X2: a] :
( ( ~ $false
=> ( t = X2 ) )
=> ( eigen__6
@ ^ [X3: a] :
( ~ ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( eigen__1 @ t ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( eigen__5 @ t ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( eigen__1 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( cA @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> $false ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(cDOMLEMMA5_pme,conjecture,
~ ( ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ( cA @ X1 ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ~ ! [X2: a > $o] :
( ~ ( ! [X3: ( a > $o ) > $o] :
( ~ ( ( X3
@ ^ [X4: a] : sP30 )
=> ~ ! [X4: a > $o] :
( ( X3 @ X4 )
=> ! [X5: a] :
( ( X2 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ~ ( X4 @ X6 )
=> ( X5 = X6 ) ) ) ) ) )
=> ( X3 @ X2 ) )
=> ~ ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) ) )
=> ~ ! [X3: a > $o] :
( ~ ( ( cA @ X3 )
=> ~ ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ( cA @ X3 )
=> ~ ( X3 @ t ) ) ) ) ) ) ).
thf(h3,negated_conjecture,
( ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ( cA @ X1 ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ~ ! [X2: a > $o] :
( ~ ( ! [X3: ( a > $o ) > $o] :
( ~ ( ( X3
@ ^ [X4: a] : sP30 )
=> ~ ! [X4: a > $o] :
( ( X3 @ X4 )
=> ! [X5: a] :
( ( X2 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ~ ( X4 @ X6 )
=> ( X5 = X6 ) ) ) ) ) )
=> ( X3 @ X2 ) )
=> ~ ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) ) )
=> ~ ! [X3: a > $o] :
( ~ ( ( cA @ X3 )
=> ~ ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ( cA @ X3 )
=> ~ ( X3 @ t ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cDOMLEMMA5_pme]) ).
thf(h4,assumption,
~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ( cA @ X1 ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ~ ! [X2: a > $o] :
( ~ ( ! [X3: ( a > $o ) > $o] :
( ~ ( ( X3
@ ^ [X4: a] : sP30 )
=> ~ ! [X4: a > $o] :
( ( X3 @ X4 )
=> ! [X5: a] :
( ( X2 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ~ ( X4 @ X6 )
=> ( X5 = X6 ) ) ) ) ) )
=> ( X3 @ X2 ) )
=> ~ ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) ) )
=> ~ ! [X3: a > $o] :
( ~ ( ( cA @ X3 )
=> ~ ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ( cA @ X3 )
=> ~ ( X3 @ t ) ) ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( ~ ( sP22
=> ~ ( eigen__0 @ t ) )
=> sP22 ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( sP22
=> ~ ( eigen__0 @ t ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP22,
introduced(assumption,[]) ).
thf(h9,assumption,
sP22,
introduced(assumption,[]) ).
thf(h10,assumption,
eigen__0 @ t,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h10,h7,h8,h6,h4,h3,h2,h1,h0])],[h9,h8]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h9,h10])],[h7,1,h9,h10]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,2,h7,h8]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__0)],[h4,3,h6]) ).
thf(h11,assumption,
~ ( ~ ( ( cA @ eigen__1 )
=> ~ sP26 )
=> ~ sP21 ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( ( cA @ eigen__1 )
=> ~ sP26 ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP21,
introduced(assumption,[]) ).
thf(h14,assumption,
cA @ eigen__1,
introduced(assumption,[]) ).
thf(h15,assumption,
sP26,
introduced(assumption,[]) ).
thf(5,plain,
sP23,
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP16
| ~ sP23 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP26
| sP28
| ~ sP18 ),
inference(mating_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP17
| sP8 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP8
| ~ sP16
| sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP25
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP15
| ~ sP11
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP13
| ~ sP16
| sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP20
| sP13 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP12
| sP30
| sP18 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( sP3
| sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( sP3
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP24
| ~ sP29
| ~ sP27 ),
inference(prop_rule,[status(thm)],[]) ).
thf(18,plain,
( sP9
| sP20 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( sP9
| sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( sP1
| ~ sP28 ),
inference(prop_rule,[status(thm)],[]) ).
thf(21,plain,
( sP1
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
( sP4
| ~ sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( sP4
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(24,plain,
( sP5
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(25,plain,
( sP5
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(26,plain,
( sP19
| ~ sP1 ),
inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__7]) ).
thf(27,plain,
( sP2
| ~ sP4 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6]) ).
thf(28,plain,
( sP14
| ~ sP5 ),
inference(eigen_choice_rule,[status(thm),assumptions([h2])],[h2,eigendef_eigen__5]) ).
thf(29,plain,
( ~ sP7
| ~ sP2
| ~ sP19 ),
inference(prop_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP6
| sP7
| ~ sP14 ),
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP21
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(32,plain,
~ sP30,
inference(prop_rule,[status(thm)],[]) ).
thf(33,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h14,h15,h12,h13,h11,h5,h3,h2,h1,h0])],[5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,h15,h13]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h11,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h14,h15])],[h12,33,h14,h15]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h11,34,h12,h13]) ).
thf(36,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h3,h2,h1,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__1)],[h5,35,h11]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h2,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[h3,4,36,h4,h5]) ).
thf(38,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h1,h0]),eigenvar_choice(discharge,[h2])],[37,h2]) ).
thf(39,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3,h0]),eigenvar_choice(discharge,[h1])],[38,h1]) ).
thf(40,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h3]),eigenvar_choice(discharge,[h0])],[39,h0]) ).
thf(0,theorem,
~ ( ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ( cA @ X1 ) )
=> ~ ! [X1: a > $o] :
( ~ ( ( cA @ X1 )
=> ~ ( X1 @ t ) )
=> ~ ! [X2: a > $o] :
( ~ ( ! [X3: ( a > $o ) > $o] :
( ~ ( ( X3
@ ^ [X4: a] : sP30 )
=> ~ ! [X4: a > $o] :
( ( X3 @ X4 )
=> ! [X5: a] :
( ( X2 @ X5 )
=> ( X3
@ ^ [X6: a] :
( ~ ( X4 @ X6 )
=> ( X5 = X6 ) ) ) ) ) )
=> ( X3 @ X2 ) )
=> ~ ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) ) )
=> ~ ! [X3: a > $o] :
( ~ ( ( cA @ X3 )
=> ~ ! [X4: a] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ~ ( ( cA @ X3 )
=> ~ ( X3 @ t ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h3])],[37,h3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SEU875^5 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 8 21:23:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 107.91/108.12 % SZS status Theorem
% 107.91/108.12 % Mode: mode447
% 107.91/108.12 % Inferences: 128
% 107.91/108.12 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------