TSTP Solution File: SWV426^4 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SWV426^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n003.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 22:49:09 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_b,type,
b: $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_a,type,
a: $i > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_rel,type,
rel: $i > $i > $o ).
thf(ty_s,type,
s: $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i > $o,X2: $i] :
( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( X1 @ X3 ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( X1 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ~ ( a @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( a @ eigen__3 )
=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( s @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( rel @ eigen__2 @ eigen__3 )
=> ( ( a @ eigen__3 )
=> ( b @ eigen__3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( b @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( rel @ eigen__1 @ eigen__2 )
=> ( ~ ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ( a @ X1 )
=> ( b @ X1 ) ) )
=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ( a @ X1 )
=> ( b @ X1 ) ) )
=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( s @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( rel @ eigen__2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( s @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( a @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP9
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( s @ X1 ) )
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ( a @ X2 )
=> ( b @ X2 ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $i] :
( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP9
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP11
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( s @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( s @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( rel @ eigen__1 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ( a @ X1 )
=> ( b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( rel @ eigen__3 @ eigen__4 )
=> sP18 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( rel @ eigen__3 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(def_mfalse,definition,
( mfalse
= ( ^ [X1: $i] : $false ) ) ).
thf(def_mtrue,definition,
( mtrue
= ( ^ [X1: $i] : $true ) ) ).
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,X3: $i] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ).
thf(def_mimpl,definition,
( mimpl
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ ( mnot @ X1 ) @ X2 ) ) ) ).
thf(def_miff,definition,
( miff
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ ( mimpl @ X1 @ X2 ) @ ( mimpl @ X2 @ X1 ) ) ) ) ).
thf(def_mbox,definition,
( mbox
= ( ^ [X1: $i > $i > $o,X2: $i > $o,X3: $i] :
! [X4: $i] :
( ^ [X5: $o,X6: $o] :
( X5
=> X6 )
@ ( X1 @ X3 @ X4 )
@ ( X2 @ X4 ) ) ) ) ).
thf(def_mdia,definition,
( mdia
= ( ^ [X1: $i > $i > $o,X2: $i > $o,X3: $i] :
? [X4: $i] :
( ( X1 @ X3 @ X4 )
& ( X2 @ X4 ) ) ) ) ).
thf(def_mall,definition,
( mall
= ( ^ [X1: individuals > $i > $o,X2: $i] :
! [X3: individuals] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mexists,definition,
( mexists
= ( ^ [X1: individuals > $i > $o,X2: $i] :
? [X3: individuals] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mvalid,definition,
( mvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] : ( X1 @ X2 ) ) ) ).
thf(def_msatisfiable,definition,
( msatisfiable
= ( ^ [X1: $i > $o] :
? [X2: $i] : ( X1 @ X2 ) ) ) ).
thf(def_mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [X1: $i > $o] :
? [X2: $i] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_minvalid,definition,
( minvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_icl_atom,definition,
( icl_atom
= ( ^ [X1: $i > $o] : ( mbox @ rel @ X1 ) ) ) ).
thf(def_icl_princ,definition,
( icl_princ
= ( ^ [X1: $i > $o] : X1 ) ) ).
thf(def_icl_and,definition,
( icl_and
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ X1 @ X2 ) ) ) ).
thf(def_icl_or,definition,
( icl_or
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ X1 @ X2 ) ) ) ).
thf(def_icl_impl,definition,
( icl_impl
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mbox @ rel @ ( mimpl @ X1 @ X2 ) ) ) ) ).
thf(def_icl_true,definition,
icl_true = mtrue ).
thf(def_icl_false,definition,
icl_false = mfalse ).
thf(def_icl_says,definition,
( icl_says
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mbox @ rel @ ( mor @ X1 @ X2 ) ) ) ) ).
thf(def_iclval,definition,
( iclval
= ( ^ [X1: $i > $o] : ( mvalid @ X1 ) ) ) ).
thf(cuc,conjecture,
! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ( a @ X4 )
=> ( b @ X4 ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( s @ X4 ) ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( a @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( b @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ( a @ X4 )
=> ( b @ X4 ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( s @ X4 ) ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( a @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( b @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cuc]) ).
thf(h1,assumption,
~ ! [X1: $i] :
( ( rel @ eigen__0 @ X1 )
=> ( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ( a @ X3 )
=> ( b @ X3 ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ( a @ X3 )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( s @ X4 ) ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ( b @ X3 )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( s @ X4 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ( rel @ eigen__0 @ eigen__1 )
=> ( sP14
=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( a @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( b @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
rel @ eigen__0 @ eigen__1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( sP14
=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( a @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( b @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
sP14,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( a @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( b @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( s @ X3 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( sP20
=> ( sP2
=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ~ ( b @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
sP20,
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( sP2
=> ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ~ ( b @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP2,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ! [X1: $i] :
( ( rel @ eigen__2 @ X1 )
=> ( ~ ( b @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( sP9
=> ( ~ sP5
=> sP10 ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP9,
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( ~ sP5
=> sP10 ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h16,assumption,
~ sP10,
introduced(assumption,[]) ).
thf(h17,assumption,
~ sP22,
introduced(assumption,[]) ).
thf(h18,assumption,
sP23,
introduced(assumption,[]) ).
thf(h19,assumption,
~ sP18,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP4
| ~ sP9
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP21
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP7
| sP21
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP6
| ~ sP20
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP16
| ~ sP9
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP8
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP13
| ~ sP19
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP14
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP15
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP3
| sP11
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP12
| ~ sP9
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP22
| ~ sP23
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP10
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP17
| ~ sP11
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP2
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP1
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(trans_axiom,axiom,
sP1 ).
thf(17,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h18,h19,h17,h15,h16,h13,h14,h12,h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,h5,h8,h10,h13,h15,h18,h19,trans_axiom]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h15,h16,h13,h14,h12,h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,17,h18,h19]) ).
thf(19,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h15,h16,h13,h14,h12,h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__4)],[h16,18,h17]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h12,h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h15,h16])],[h14,19,h15,h16]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h12,20,h13,h14]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h11,h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__3)],[h11,21,h12]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h9,h7,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,22,h10,h11]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,23,h8,h9]) ).
thf(25,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,24,h7]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,25,h5,h6]) ).
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: $i] :
( ( rel @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ( a @ X4 )
=> ( b @ X4 ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( s @ X4 ) ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( a @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ~ ( b @ X4 )
=> ! [X5: $i] :
( ( rel @ X4 @ X5 )
=> ( s @ X5 ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[29,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV426^4 : TPTP v8.1.2. Released v3.6.0.
% 0.04/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 08:56:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 % Mode: cade22grackle2xfee4
% 0.20/0.42 % Steps: 215
% 0.20/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------