TSTP Solution File: SWV443^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SWV443^1 : TPTP v8.1.0. Released v3.7.0.
% 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 : Wed Jul 20 21:25:09 EDT 2022
% Result : Theorem 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_individuals,type,
individuals: $tType ).
thf(ty_eigen__6,type,
eigen__6: $i ).
thf(ty_relr,type,
relr: $i > $i > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_eigen__7,type,
eigen__7: $i ).
thf(ty_eigen__1,type,
eigen__1: $i > $o ).
thf(ty_eigen__0,type,
eigen__0: individuals ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_eigen__5,type,
eigen__5: $i ).
thf(ty_reli,type,
reli: $i > $i > $o ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_princ_inj,type,
princ_inj: individuals > $i > $o ).
thf(sP1,plain,
( sP1
<=> ( ( relr @ eigen__4 @ eigen__5 )
=> ! [X1: $i] :
( ( reli @ eigen__5 @ X1 )
=> ( ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ( princ_inj @ eigen__0 @ X2 ) )
=> ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ( eigen__1 @ X2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( reli @ eigen__6 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ! [X1: $i] :
( ( reli @ eigen__6 @ X1 )
=> ( princ_inj @ eigen__0 @ X1 ) )
=> ! [X1: $i] :
( ( reli @ eigen__6 @ X1 )
=> ( eigen__1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( reli @ eigen__3 @ X1 )
=> ! [X2: $i] :
( ( relr @ X1 @ X2 )
=> ! [X3: $i] :
( ( reli @ X2 @ X3 )
=> ( ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ( princ_inj @ eigen__0 @ X4 ) )
=> ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ( eigen__1 @ X4 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( relr @ eigen__4 @ eigen__5 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( reli @ eigen__6 @ X1 )
=> ( eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( reli @ eigen__3 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
( ( relr @ eigen__4 @ X1 )
=> ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( reli @ X2 @ X3 )
=> ( princ_inj @ eigen__0 @ X3 ) )
=> ! [X3: $i] :
( ( reli @ X2 @ X3 )
=> ( eigen__1 @ X3 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] :
( ( reli @ eigen__5 @ X1 )
=> ( ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ( princ_inj @ eigen__0 @ X2 ) )
=> ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ( eigen__1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ( reli @ eigen__6 @ X1 )
=> ( princ_inj @ eigen__0 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( eigen__1 @ eigen__7 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP2
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( reli @ eigen__5 @ eigen__6 )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( reli @ eigen__5 @ eigen__6 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP7
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(def_mfalse,definition,
( mfalse
= ( ^ [X1: $i] : $false ) ) ).
thf(def_mtrue,definition,
( mtrue
= ( ^ [X1: $i] : ~ $false ) ) ).
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] : ( mor @ ( mnot @ X1 ) ) ) ) ).
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] :
( ( 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 = !! ).
thf(def_msatisfiable,definition,
( msatisfiable
= ( ^ [X1: $i > $o] :
~ ! [X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [X1: $i > $o] :
~ ( !! @ X1 ) ) ) ).
thf(def_minvalid,definition,
( minvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_cs4_atom,definition,
( cs4_atom
= ( mbox @ reli ) ) ).
thf(def_cs4_and,definition,
cs4_and = mand ).
thf(def_cs4_or,definition,
cs4_or = mor ).
thf(def_cs4_impl,definition,
( cs4_impl
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mbox @ reli @ ( mimpl @ X1 @ X2 ) ) ) ) ).
thf(def_cs4_true,definition,
cs4_true = mtrue ).
thf(def_cs4_false,definition,
cs4_false = mfalse ).
thf(def_cs4_all,definition,
( cs4_all
= ( ^ [X1: individuals > $i > $o] : ( mbox @ reli @ ( mall @ X1 ) ) ) ) ).
thf(def_cs4_box,definition,
( cs4_box
= ( ^ [X1: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X1 ) ) ) ) ).
thf(def_cs4_valid,definition,
cs4_valid = mvalid ).
thf(def_bl_atom,definition,
bl_atom = cs4_atom ).
thf(def_bl_princ,definition,
bl_princ = cs4_atom ).
thf(def_bl_and,definition,
bl_and = cs4_and ).
thf(def_bl_or,definition,
bl_or = cs4_or ).
thf(def_bl_impl,definition,
bl_impl = cs4_impl ).
thf(def_bl_all,definition,
bl_all = cs4_all ).
thf(def_bl_true,definition,
bl_true = cs4_true ).
thf(def_bl_false,definition,
bl_false = cs4_false ).
thf(def_bl_says,definition,
( bl_says
= ( ^ [X1: individuals,X2: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ X1 ) ) @ X2 ) ) ) ) ).
thf(def_bl_valid,definition,
bl_valid = mvalid ).
thf(bl_id2,conjecture,
! [X1: individuals,X2: $i > $o,X3: $i,X4: $i] :
( ( reli @ X3 @ X4 )
=> ( ~ ~ ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ~ ~ ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ~ ~ ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: individuals,X2: $i > $o,X3: $i,X4: $i] :
( ( reli @ X3 @ X4 )
=> ( ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[bl_id2]) ).
thf(h1,assumption,
~ ! [X1: $i > $o,X2: $i,X3: $i] :
( ( reli @ X2 @ X3 )
=> ( ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ! [X5: $i] :
( ( relr @ X4 @ X5 )
=> ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( princ_inj @ eigen__0 @ X7 ) )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( X1 @ X7 ) ) ) ) ) )
=> ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ! [X5: $i] :
( ( relr @ X4 @ X5 )
=> ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( princ_inj @ eigen__0 @ X7 ) )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( X1 @ X7 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: $i,X2: $i] :
( ( reli @ X1 @ X2 )
=> ( ! [X3: $i] :
( ( reli @ X2 @ X3 )
=> ! [X4: $i] :
( ( relr @ X3 @ X4 )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( princ_inj @ eigen__0 @ X6 ) )
=> ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( eigen__1 @ X6 ) ) ) ) ) )
=> ! [X3: $i] :
( ( reli @ X2 @ X3 )
=> ! [X4: $i] :
( ( relr @ X3 @ X4 )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( princ_inj @ eigen__0 @ X6 ) )
=> ! [X6: $i] :
( ( reli @ X5 @ X6 )
=> ( eigen__1 @ X6 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: $i] :
( ( reli @ eigen__2 @ X1 )
=> ( ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ! [X3: $i] :
( ( relr @ X2 @ X3 )
=> ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ( ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( princ_inj @ eigen__0 @ X5 ) )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( eigen__1 @ X5 ) ) ) ) ) )
=> ! [X2: $i] :
( ( reli @ X1 @ X2 )
=> ! [X3: $i] :
( ( relr @ X2 @ X3 )
=> ! [X4: $i] :
( ( reli @ X3 @ X4 )
=> ( ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( princ_inj @ eigen__0 @ X5 ) )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ( eigen__1 @ X5 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( ( reli @ eigen__2 @ eigen__3 )
=> ( sP4
=> sP4 ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
reli @ eigen__2 @ eigen__3,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP4
=> sP4 ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP4,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP15,
introduced(assumption,[]) ).
thf(h10,assumption,
sP7,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h13,assumption,
sP5,
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP13,
introduced(assumption,[]) ).
thf(h16,assumption,
sP14,
introduced(assumption,[]) ).
thf(h17,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h18,assumption,
sP10,
introduced(assumption,[]) ).
thf(h19,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(h20,assumption,
~ sP12,
introduced(assumption,[]) ).
thf(h21,assumption,
sP2,
introduced(assumption,[]) ).
thf(h22,assumption,
~ sP11,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP6
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP12
| ~ sP2
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP9
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP13
| ~ sP14
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP3
| ~ sP10
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP8
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP1
| ~ sP5
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP4
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP15
| ~ sP7
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h21,h22,h20,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,h7,h10,h13,h16,h18,h21,h22]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h21,h22])],[h20,10,h21,h22]) ).
thf(12,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h20]),tab_negall(eigenvar,eigen__7)],[h19,11,h20]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,12,h18,h19]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h15,13,h16,h17]) ).
thf(15,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__6)],[h14,14,h15]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h12,15,h13,h14]) ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h11,h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__5)],[h11,16,h12]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,17,h10,h11]) ).
thf(19,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__4)],[h8,18,h9]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,19,h7,h8]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,20,h5,h6]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,21,h4]) ).
thf(23,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,22,h3]) ).
thf(24,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,23,h2]) ).
thf(25,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,24,h1]) ).
thf(0,theorem,
! [X1: individuals,X2: $i > $o,X3: $i,X4: $i] :
( ( reli @ X3 @ X4 )
=> ( ~ ~ ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ~ ~ ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) )
=> ! [X5: $i] :
( ( reli @ X4 @ X5 )
=> ! [X6: $i] :
( ( relr @ X5 @ X6 )
=> ! [X7: $i] :
( ( reli @ X6 @ X7 )
=> ( ~ ~ ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( princ_inj @ X1 @ X8 ) )
=> ! [X8: $i] :
( ( reli @ X7 @ X8 )
=> ( X2 @ X8 ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[25,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV443^1 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n027.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 : Thu Jun 16 04:09:05 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % Mode: mode213
% 0.19/0.36 % Inferences: 7
% 0.19/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------