TSTP Solution File: SEU611^2 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU611^2 : 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 : n018.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 13:54:17 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_eigen__3,type,
eigen__3: $o ).
thf(ty_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(ty_in,type,
in: $i > $i > $o ).
thf(ty_binunion,type,
binunion: $i > $i > $i ).
thf(sP1,plain,
( sP1
<=> ( ( in @ eigen__2 @ ( binunion @ eigen__0 @ eigen__1 ) )
=> ( ~ ( in @ eigen__2 @ eigen__0 )
=> ( in @ eigen__2 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( in @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i > $o,X2: $i] :
( ( in @ X2 @ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 ) @ X1 ) )
=> ( X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i,X2: $i > $o,X3: $i] :
( ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) )
=> ( in @ X3 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ ( binunion @ X1 @ X2 ) )
=> ( ~ ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( in @ X1
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X2: $i] :
( ( in @ X2 @ eigen__0 )
=> ~ ( in @ X2 @ eigen__1 ) ) ) )
=> ( ( in @ X1 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( in @ eigen__2
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X1: $i] :
( ( in @ X1 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 ) ) ) )
=> ( sP2
=> ~ ( in @ eigen__2 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i,X2: $i > $o,X3: $i] :
( ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) )
=> ( X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ sP2
=> ( in @ eigen__2 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i > $o,X2: $i] :
( ( in @ X2 @ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 ) @ X1 ) )
=> ( in @ X2 @ ( binunion @ eigen__0 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( sP2
=> ~ ( in @ eigen__2 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i] :
( ( in @ X1 @ ( binunion @ eigen__0 @ eigen__1 ) )
=> ( ~ ( in @ X1 @ eigen__0 )
=> ( in @ X1 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( in @ eigen__2 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> eigen__3 ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( binunion @ eigen__0 @ X1 ) )
=> ( ~ ( in @ X2 @ eigen__0 )
=> ( in @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
( ( in @ X1
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X2: $i] :
( ( in @ X2 @ eigen__0 )
=> ~ ( in @ X2 @ eigen__1 ) ) ) )
=> ( in @ X1 @ ( binunion @ eigen__0 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( in @ eigen__2
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X1: $i] :
( ( in @ X1 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 ) ) ) )
=> ( in @ eigen__2 @ ( binunion @ eigen__0 @ eigen__1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( in @ eigen__2
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X1: $i] :
( ( in @ X1 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( in @ eigen__2 @ ( binunion @ eigen__0 @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(def_dsetconstrEL,definition,
dsetconstrEL = sP4 ).
thf(def_dsetconstrER,definition,
dsetconstrER = sP8 ).
thf(def_binunionE,definition,
binunionE = sP5 ).
thf(def_symdiff,definition,
( symdiff
= ( ^ [X1: $i,X2: $i] :
( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X3: $i] :
( ( in @ X3 @ X1 )
=> ~ ( in @ X3 @ X2 ) ) ) ) ) ).
thf(symdiffE,conjecture,
( sP4
=> ( sP8
=> ( sP5
=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( sP4
=> ( sP8
=> ( sP5
=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[symdiffE]) ).
thf(h1,assumption,
sP4,
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP8
=> ( sP5
=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP8,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( sP5
=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
sP5,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ! [X1: $i,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ ( binunion @ eigen__0 @ X1 )
@ ^ [X3: $i] :
( ( in @ X3 @ eigen__0 )
=> ~ ( in @ X3 @ X1 ) ) ) )
=> ! [X3: $o] :
( ( ( in @ X2 @ eigen__0 )
=> ( ~ ( in @ X2 @ X1 )
=> X3 ) )
=> ( ( ~ ( in @ X2 @ eigen__0 )
=> ( ( in @ X2 @ X1 )
=> X3 ) )
=> X3 ) ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ ! [X1: $i] :
( ( in @ X1
@ ( dsetconstr @ ( binunion @ eigen__0 @ eigen__1 )
@ ^ [X2: $i] :
( ( in @ X2 @ eigen__0 )
=> ~ ( in @ X2 @ eigen__1 ) ) ) )
=> ! [X2: $o] :
( ( ( in @ X1 @ eigen__0 )
=> ( ~ ( in @ X1 @ eigen__1 )
=> X2 ) )
=> ( ( ~ ( in @ X1 @ eigen__0 )
=> ( ( in @ X1 @ eigen__1 )
=> X2 ) )
=> X2 ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( sP18
=> ! [X1: $o] :
( ( sP2
=> ( ~ sP13
=> X1 ) )
=> ( ( ~ sP2
=> ( sP13
=> X1 ) )
=> X1 ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP18,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ! [X1: $o] :
( ( sP2
=> ( ~ sP13
=> X1 ) )
=> ( ( ~ sP2
=> ( sP13
=> X1 ) )
=> X1 ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( ( sP2
=> ( ~ sP13
=> sP14 ) )
=> ( ( ~ sP2
=> ( sP13
=> sP14 ) )
=> sP14 ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
( sP2
=> ( ~ sP13
=> sP14 ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
~ ( ( ~ sP2
=> ( sP13
=> sP14 ) )
=> sP14 ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h16,assumption,
( ~ sP13
=> sP14 ),
introduced(assumption,[]) ).
thf(h17,assumption,
( ~ sP2
=> ( sP13
=> sP14 ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
~ sP14,
introduced(assumption,[]) ).
thf(h19,assumption,
sP2,
introduced(assumption,[]) ).
thf(h20,assumption,
( sP13
=> sP14 ),
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h19,h17,h18,h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h19,h15]) ).
thf(h21,assumption,
~ sP13,
introduced(assumption,[]) ).
thf(h22,assumption,
sP14,
introduced(assumption,[]) ).
thf(2,plain,
( ~ sP4
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP10
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP16
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP17
| ~ sP18
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP15
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP12
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP1
| ~ sP19
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP9
| sP2
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP5
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h21,h20,h17,h18,h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[2,3,4,5,6,7,8,9,10,h1,h5,h10,h15,h21]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h22,h20,h17,h18,h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h22,h18]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h17,h18,h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h22])],[h20,11,12,h21,h22]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h18,h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h19]),tab_imp(discharge,[h20])],[h17,1,13,h19,h20]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h14,14,h17,h18]) ).
thf(h23,assumption,
sP13,
introduced(assumption,[]) ).
thf(16,plain,
( ~ sP11
| ~ sP2
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP8
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP3
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP6
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP7
| ~ sP18
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h19,h17,h18,h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[16,17,18,19,20,h3,h10,h23,h19]) ).
thf(22,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h20,h17,h18,h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h23,h21]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h22,h20,h17,h18,h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h22,h18]) ).
thf(24,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h17,h18,h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h22])],[h20,22,23,h21,h22]) ).
thf(25,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h18,h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h19]),tab_imp(discharge,[h20])],[h17,21,24,h19,h20]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h23,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h14,25,h17,h18]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h19,h17,h18,h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h22,h18]) ).
thf(28,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h20,h17,h18,h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h22,h18]) ).
thf(29,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h22,h20,h17,h18,h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0])],[h22,h18]) ).
thf(30,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h20,h17,h18,h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h21]),tab_imp(discharge,[h22])],[h20,28,29,h21,h22]) ).
thf(31,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h18,h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h19]),tab_imp(discharge,[h20])],[h17,27,30,h19,h20]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h14,31,h17,h18]) ).
thf(33,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h23]),tab_imp(discharge,[h22])],[h16,26,32,h23,h22]) ).
thf(34,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,15,33,h15,h16]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h12,34,h13,h14]) ).
thf(36,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h11,h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__3)],[h11,35,h12]) ).
thf(37,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h10,h11])],[h9,36,h10,h11]) ).
thf(38,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h8,h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__2)],[h8,37,h9]) ).
thf(39,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__1)],[h7,38,h8]) ).
thf(40,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__0)],[h6,39,h7]) ).
thf(41,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h4,40,h5,h6]) ).
thf(42,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h2,41,h3,h4]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,42,h1,h2]) ).
thf(0,theorem,
( sP4
=> ( sP8
=> ( sP5
=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3
@ ( dsetconstr @ ( binunion @ X1 @ X2 )
@ ^ [X4: $i] :
( ( in @ X4 @ X1 )
=> ~ ( in @ X4 @ X2 ) ) ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[43,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU611^2 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 08:21:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % Mode: mode213
% 0.13/0.38 % Inferences: 15
% 0.13/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------