TSTP Solution File: SEV218^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV218^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : 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 : Tue Jul 19 18:05:24 EDT 2022
% Result : Theorem 1.00s 1.33s
% Output : Proof 1.00s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__16,type,
eigen__16: a ).
thf(ty_eigen__7,type,
eigen__7: a ).
thf(ty_eigen__15,type,
eigen__15: a ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(ty_eigen__0,type,
eigen__0: a > a > $o ).
thf(ty_eigen__17,type,
eigen__17: a ).
thf(ty_eigen__8,type,
eigen__8: a ).
thf(ty_cQ,type,
cQ: a > a > $o ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__7 @ X1 )
=> ~ ! [X1: a] :
( ( eigen__0 @ eigen__7 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__7 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) )
=> ~ ( eigen__0 @ eigen__7 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: a] :
~ ( ~ ( ~ ! [X2: a] :
~ ( eigen__0 @ X1 @ X2 )
=> ~ ! [X2: a] :
( ( eigen__0 @ X1 @ X2 )
=> ! [X3: a] :
( ( eigen__0 @ X1 @ X3 )
= ( cQ @ X2 @ X3 ) ) ) )
=> ~ ( eigen__0 @ X1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: a] :
( ( eigen__0 @ eigen__7 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__7 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__7 @ X1 )
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( eigen__0 @ eigen__7 @ eigen__7 )
=> ! [X1: a] :
( ( eigen__0 @ eigen__7 @ X1 )
= ( cQ @ eigen__7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( eigen__0 @ eigen__7 @ eigen__7 )
= ( cQ @ eigen__8 @ eigen__7 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cQ @ eigen__8 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cQ @ eigen__15 @ eigen__16 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: a] :
( ( eigen__0 @ eigen__15 @ X1 )
= ( cQ @ eigen__15 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: a] :
( ( eigen__0 @ eigen__15 @ X1 )
= ( cQ @ eigen__16 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( eigen__0 @ eigen__1 @ eigen__1 )
= ( cQ @ eigen__1 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__15 @ X1 )
=> ~ ! [X1: a] :
( ( eigen__0 @ eigen__15 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__15 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) )
=> ~ ( eigen__0 @ eigen__15 @ eigen__15 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__1 @ X1 )
=> ~ ! [X1: a] :
( ( eigen__0 @ eigen__1 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__1 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) )
=> ~ ( eigen__0 @ eigen__1 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( cQ @ eigen__7 @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( cQ @ eigen__16 @ eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( eigen__0 @ eigen__1 @ eigen__1 )
=> ! [X1: a] :
( ( eigen__0 @ eigen__1 @ X1 )
= ( cQ @ eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: a] :
( ( eigen__0 @ eigen__7 @ X1 )
= ( cQ @ eigen__8 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( eigen__0 @ eigen__15 @ eigen__16 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( eigen__0 @ eigen__15 @ eigen__15 )
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( eigen__0 @ eigen__15 @ eigen__17 )
= ( cQ @ eigen__15 @ eigen__17 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP18 = sP8 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: a] :
( ( eigen__0 @ eigen__1 @ X1 )
= ( cQ @ eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( sP18
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: a] :
( ( eigen__0 @ eigen__15 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__15 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( eigen__0 @ eigen__7 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( eigen__0 @ eigen__7 @ eigen__8 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( eigen__0 @ eigen__15 @ eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( sP26
=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( cQ @ eigen__1 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( eigen__0 @ eigen__1 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ! [X1: a] :
( ( eigen__0 @ eigen__1 @ X1 )
=> ! [X2: a] :
( ( eigen__0 @ eigen__1 @ X2 )
= ( cQ @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: a] :
( ( eigen__0 @ eigen__7 @ X1 )
= ( cQ @ eigen__7 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( cQ @ eigen__15 @ eigen__17 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP26 = sP14 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__15 @ X1 )
=> ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( sP27 = sP15 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( eigen__0 @ eigen__15 @ eigen__15 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( ~ ! [X1: a] :
~ ( eigen__0 @ eigen__1 @ X1 )
=> ~ sP31 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(cTHM559A_pme,conjecture,
( ~ ! [X1: a > a > $o] :
~ ! [X2: a] :
~ ( ~ ( ~ ! [X3: a] :
~ ( X1 @ X2 @ X3 )
=> ~ ! [X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a] :
( ( X1 @ X2 @ X4 )
= ( cQ @ X3 @ X4 ) ) ) )
=> ~ ( X1 @ X2 @ X2 ) )
=> ~ ( ~ ( ! [X1: a] : ( cQ @ X1 @ X1 )
=> ~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ) )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( cQ @ X1 @ X2 )
=> ~ ( cQ @ X2 @ X3 ) )
=> ( cQ @ X1 @ X3 ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ! [X1: a > a > $o] :
~ ! [X2: a] :
~ ( ~ ( ~ ! [X3: a] :
~ ( X1 @ X2 @ X3 )
=> ~ ! [X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a] :
( ( X1 @ X2 @ X4 )
= ( cQ @ X3 @ X4 ) ) ) )
=> ~ ( X1 @ X2 @ X2 ) )
=> ~ ( ~ ( ! [X1: a] : ( cQ @ X1 @ X1 )
=> ~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ) )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( cQ @ X1 @ X2 )
=> ~ ( cQ @ X2 @ X3 ) )
=> ( cQ @ X1 @ X3 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM559A_pme]) ).
thf(h1,assumption,
~ ! [X1: a > a > $o] :
~ ! [X2: a] :
~ ( ~ ( ~ ! [X3: a] :
~ ( X1 @ X2 @ X3 )
=> ~ ! [X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a] :
( ( X1 @ X2 @ X4 )
= ( cQ @ X3 @ X4 ) ) ) )
=> ~ ( X1 @ X2 @ X2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ~ ( ! [X1: a] : ( cQ @ X1 @ X1 )
=> ~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ) )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( cQ @ X1 @ X2 )
=> ~ ( cQ @ X2 @ X3 ) )
=> ( cQ @ X1 @ X3 ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP2,
introduced(assumption,[]) ).
thf(h4,assumption,
( ! [X1: a] : ( cQ @ X1 @ X1 )
=> ~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( cQ @ X1 @ X2 )
=> ~ ( cQ @ X2 @ X3 ) )
=> ( cQ @ X1 @ X3 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ! [X1: a] : ( cQ @ X1 @ X1 ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP29,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP11
| ~ sP30
| sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP22
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP31
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP16
| ~ sP30
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP38
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP13
| sP30 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( sP13
| ~ sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP2
| ~ sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h6,h4,h3,h1,h2,h0])],[1,2,3,4,5,6,7,8,h3,h8]) ).
thf(10,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h4,h3,h1,h2,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__1)],[h6,9,h8]) ).
thf(h9,assumption,
~ ! [X1: a] :
( ( cQ @ eigen__7 @ X1 )
=> ( cQ @ X1 @ eigen__7 ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( sP14
=> sP7 ),
introduced(assumption,[]) ).
thf(h11,assumption,
sP14,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(11,plain,
( ~ sP6
| ~ sP25
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP34
| sP26
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP17
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP28
| ~ sP26
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP32
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP3
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP3
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP5
| ~ sP25
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP4
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP1
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( sP1
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP2
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h10,h9,h7,h4,h3,h1,h2,h0])],[11,12,13,14,15,16,17,18,19,20,21,22,h3,h11,h12]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h7,h4,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h10,23,h11,h12]) ).
thf(25,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h9,h7,h4,h3,h1,h2,h0]),tab_negall(discharge,[h10]),tab_negall(eigenvar,eigen__8)],[h9,24,h10]) ).
thf(26,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h4,h3,h1,h2,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__7)],[h7,25,h9]) ).
thf(27,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[h4,10,26,h6,h7]) ).
thf(h13,assumption,
~ ! [X1: a,X2: a] :
( ~ ( ( cQ @ eigen__15 @ X1 )
=> ~ ( cQ @ X1 @ X2 ) )
=> ( cQ @ eigen__15 @ X2 ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ ! [X1: a] :
( ~ ( sP8
=> ~ ( cQ @ eigen__16 @ X1 ) )
=> ( cQ @ eigen__15 @ X1 ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( sP8
=> ~ sP15 )
=> sP33 ),
introduced(assumption,[]) ).
thf(h16,assumption,
~ ( sP8
=> ~ sP15 ),
introduced(assumption,[]) ).
thf(h17,assumption,
~ sP33,
introduced(assumption,[]) ).
thf(h18,assumption,
sP8,
introduced(assumption,[]) ).
thf(h19,assumption,
sP15,
introduced(assumption,[]) ).
thf(28,plain,
( ~ sP20
| ~ sP27
| sP33 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP36
| sP27
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP9
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP10
| sP36 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP21
| sP18
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP23
| ~ sP18
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP9
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP24
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP24
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP19
| ~ sP37
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( sP35
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP12
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP12
| ~ sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( ~ sP2
| ~ sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(42,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h18,h19,h16,h17,h15,h14,h13,h5,h3,h1,h2,h0])],[28,29,30,31,32,33,34,35,36,37,38,39,40,41,h3,h18,h19,h17]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h15,h14,h13,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h16,42,h18,h19]) ).
thf(44,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h13,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h16,h17])],[h15,43,h16,h17]) ).
thf(45,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h13,h5,h3,h1,h2,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__17)],[h14,44,h15]) ).
thf(46,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h5,h3,h1,h2,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__16)],[h13,45,h14]) ).
thf(47,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__15)],[h5,46,h13]) ).
thf(48,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[h2,27,47,h4,h5]) ).
thf(49,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h1,48,h3]) ).
thf(50,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,49,h1,h2]) ).
thf(0,theorem,
( ~ ! [X1: a > a > $o] :
~ ! [X2: a] :
~ ( ~ ( ~ ! [X3: a] :
~ ( X1 @ X2 @ X3 )
=> ~ ! [X3: a] :
( ( X1 @ X2 @ X3 )
=> ! [X4: a] :
( ( X1 @ X2 @ X4 )
= ( cQ @ X3 @ X4 ) ) ) )
=> ~ ( X1 @ X2 @ X2 ) )
=> ~ ( ~ ( ! [X1: a] : ( cQ @ X1 @ X1 )
=> ~ ! [X1: a,X2: a] :
( ( cQ @ X1 @ X2 )
=> ( cQ @ X2 @ X1 ) ) )
=> ~ ! [X1: a,X2: a,X3: a] :
( ~ ( ( cQ @ X1 @ X2 )
=> ~ ( cQ @ X2 @ X3 ) )
=> ( cQ @ X1 @ X3 ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[50,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV218^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -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 : 600
% 0.12/0.33 % DateTime : Tue Jun 28 09:25:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.00/1.33 % SZS status Theorem
% 1.00/1.33 % Mode: mode213
% 1.00/1.33 % Inferences: 3217
% 1.00/1.33 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------