%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP202^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n008.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 01:47:16 PM UTC 2025
% Result : Theorem 17.45s 17.49s
% Output : Proof 17.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_option_game,type,
option_game: $tType ).
thf(ty_produc62062515n_game,type,
produc62062515n_game: $tType ).
thf(ty_option_trm,type,
option_trm: $tType ).
thf(ty_produc799602994n_game,type,
produc799602994n_game: $tType ).
thf(ty_produc1418842292n_game,type,
produc1418842292n_game: $tType ).
thf(ty_trm,type,
trm: $tType ).
thf(ty_char,type,
char: $tType ).
thf(ty_set_variable,type,
set_variable: $tType ).
thf(ty_option_fml,type,
option_fml: $tType ).
thf(ty_produc1231571704on_trm,type,
produc1231571704on_trm: ( ( char > option_trm ) > produc799602994n_game > char > option_trm ) > produc62062515n_game > char > option_trm ).
thf(ty_uSubst516392818stappt,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(ty_const,type,
const: char > trm ).
thf(ty_uSubst1559070963pconst,type,
uSubst1559070963pconst: produc1418842292n_game > set_variable > char > option_trm ).
thf(ty_none_trm,type,
none_trm: option_trm ).
thf(ty_v,type,
v: set_variable ).
thf(ty_static_FVT,type,
static_FVT: trm > set_variable ).
thf(ty_some_trm,type,
some_trm: trm > option_trm ).
thf(ty_u,type,
u: set_variable ).
thf(ty_produc866613687on_trm,type,
produc866613687on_trm: ( ( char > option_trm ) > produc62062515n_game > char > option_trm ) > produc1418842292n_game > char > option_trm ).
thf(ty_bot_bot_set_variable,type,
bot_bot_set_variable: set_variable ).
thf(ty_inf_inf_set_variable,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(ty_produc1036610745on_trm,type,
produc1036610745on_trm: ( ( char > option_fml ) > ( char > option_game ) > char > option_trm ) > produc799602994n_game > char > option_trm ).
thf(ty_the_trm,type,
the_trm: option_trm > trm ).
thf(ty_f,type,
f: char ).
thf(ty_sigma,type,
sigma: produc1418842292n_game ).
thf(sP1,plain,
( sP1
<=> ( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= none_trm ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X1: char > option_trm] :
( produc1231571704on_trm
@ ^ [X2: char > option_trm] :
( produc1036610745on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : X1 ) )
@ sigma
@ f ) ) )
@ v )
= bot_bot_set_variable ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: char] :
( ( uSubst516392818stappt @ sigma @ v @ ( const @ X1 ) )
= ( uSubst1559070963pconst @ sigma @ v @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( none_trm = none_trm ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( inf_inf_set_variable
@ ( static_FVT
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X1: char > option_trm] :
( produc1231571704on_trm
@ ^ [X2: char > option_trm] :
( produc1036610745on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : X1 ) )
@ sigma
@ f ) ) )
@ u )
= bot_bot_set_variable ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: char] :
( ( uSubst516392818stappt @ sigma @ u @ ( const @ X1 ) )
= ( uSubst1559070963pconst @ sigma @ u @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X1: char > option_trm] :
( produc1231571704on_trm
@ ^ [X2: char > option_trm] :
( produc1036610745on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : X1 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: set_variable,X2: char] :
( ( uSubst516392818stappt @ sigma @ X1 @ ( const @ X2 ) )
= ( uSubst1559070963pconst @ sigma @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( uSubst1559070963pconst @ sigma @ u @ f )
= ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: produc1418842292n_game,X2: set_variable,X3: char] :
( ( uSubst516392818stappt @ X1 @ X2 @ ( const @ X3 ) )
= ( uSubst1559070963pconst @ X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( sP8
=> ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: option_trm] :
( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= X1 )
=> ( X1
= ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) )
=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( uSubst1559070963pconst @ sigma @ v @ f )
= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( uSubst516392818stappt @ sigma @ u @ ( const @ f ) )
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( produc866613687on_trm
@ ^ [X1: char > option_trm] :
( produc1231571704on_trm
@ ^ [X2: char > option_trm] :
( produc1036610745on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : X1 ) )
@ sigma
@ f )
= none_trm ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( some_trm
@ ( the_trm
@ ( produc866613687on_trm
@ ^ [X1: char > option_trm] :
( produc1231571704on_trm
@ ^ [X2: char > option_trm] :
( produc1036610745on_trm
@ ^ [X3: char > option_fml,X4: char > option_game] : X1 ) )
@ sigma
@ f ) ) )
= ( uSubst1559070963pconst @ sigma @ v @ f ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: option_trm,X2: option_trm] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: option_trm] :
( ( ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) )
= X1 )
=> ( X1
= ( uSubst516392818stappt @ sigma @ v @ ( const @ f ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(conj_0,conjecture,
( ~ sP19
=> sP6 ) ).
thf(h0,negated_conjecture,
~ ( ~ sP19
=> sP6 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
~ sP19,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(h3,assumption,
sP19,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( ( sP5
=> sP10 )
=> ~ ( ~ sP5
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ( sP2
=> sP20 )
=> ~ ( ~ sP2
=> sP9 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(h7,assumption,
sP5,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h3,h3,h1,h2,h0])],[h3,h1]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h3,h3,h1,h2,h0])],[h3,h1]) ).
thf(fact_3_f3,axiom,
( ~ sP19
=> sP5 ) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,1,2,h3,h7]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h3,h3,h1,h2,h0])],[h3,h1]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h3,h1,h2,h0])],[h3,h1]) ).
thf(6,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,4,5,h3,h7]) ).
thf(fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,axiom,
( ~ sP19
=> sP2 ) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,3,6,h3,h6]) ).
thf(h8,assumption,
( sP2
=> sP20 ),
introduced(assumption,[]) ).
thf(h9,assumption,
( ~ sP2
=> sP9 ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h11,assumption,
sP20,
introduced(assumption,[]) ).
thf(h12,assumption,
sP9,
introduced(assumption,[]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,8,9,h3,h7]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,11,12,h3,h7]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,10,13,h3,h6]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h10,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h10,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,15,16,h3,h7]) ).
thf(18,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h10,h8,h9,h5,h3,h1,h2,h0])],[h6,h10]) ).
thf(20,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,18,19,h3,h7]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,17,20,h3,h6]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,14,21,h6,h12]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(25,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,23,24,h3,h7]) ).
thf(26,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(28,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,26,27,h3,h7]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,25,28,h3,h6]) ).
thf(30,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(32,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,30,31,h3,h7]) ).
thf(33,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(34,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h11,h8,h9,h5,h3,h1,h2,h0])],[h3,h1]) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,33,34,h3,h7]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,32,35,h3,h6]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,29,36,h6,h12]) ).
thf(38,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h3,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,22,37,h10,h11]) ).
thf(39,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h5,38,h8,h9]) ).
thf(fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,axiom,
( ~ sP19
=> ~ ( ( sP2
=> sP20 )
=> ~ ( ~ sP2
=> sP9 ) ) ) ).
thf(40,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h5])],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,7,39,h3,h5]) ).
thf(h13,assumption,
( sP5
=> sP10 ),
introduced(assumption,[]) ).
thf(h14,assumption,
( ~ sP5
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h16,assumption,
sP10,
introduced(assumption,[]) ).
thf(h17,assumption,
( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ),
introduced(assumption,[]) ).
thf(41,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h3,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(42,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h3,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(43,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,41,42,h3,h7]) ).
thf(44,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h3,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(45,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(46,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,44,45,h3,h7]) ).
thf(47,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,43,46,h3,h6]) ).
thf(48,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(49,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(50,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,48,49,h3,h7]) ).
thf(51,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(52,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(53,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,51,52,h3,h7]) ).
thf(54,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,50,53,h3,h6]) ).
thf(55,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(56,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(57,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,55,56,h3,h7]) ).
thf(58,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(59,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(60,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,58,59,h3,h7]) ).
thf(61,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,57,60,h3,h6]) ).
thf(62,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,54,61,h6,h12]) ).
thf(63,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(64,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(65,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,63,64,h3,h7]) ).
thf(66,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(67,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(68,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,66,67,h3,h7]) ).
thf(69,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,65,68,h3,h6]) ).
thf(70,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(71,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(72,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,70,71,h3,h7]) ).
thf(73,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(74,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(75,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,73,74,h3,h7]) ).
thf(76,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,72,75,h3,h6]) ).
thf(77,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,69,76,h6,h12]) ).
thf(78,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,62,77,h10,h11]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h7,h15,h13,h14,h4,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h5,78,h8,h9]) ).
thf(80,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h5])],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,47,79,h3,h5]) ).
thf(81,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h3,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(82,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h3,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(83,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,81,82,h3,h7]) ).
thf(84,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h3,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(85,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(86,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,84,85,h3,h7]) ).
thf(87,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,83,86,h3,h6]) ).
thf(88,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(89,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(90,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,88,89,h3,h7]) ).
thf(91,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(92,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(93,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,91,92,h3,h7]) ).
thf(94,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,90,93,h3,h6]) ).
thf(95,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(96,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(97,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,95,96,h3,h7]) ).
thf(98,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(99,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(100,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,98,99,h3,h7]) ).
thf(101,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,97,100,h3,h6]) ).
thf(102,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,94,101,h6,h12]) ).
thf(103,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(104,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(105,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,103,104,h3,h7]) ).
thf(106,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(107,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(108,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,106,107,h3,h7]) ).
thf(109,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,105,108,h3,h6]) ).
thf(110,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(111,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(112,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,110,111,h3,h7]) ).
thf(113,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(114,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0])],[h7,h15]) ).
thf(115,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,113,114,h3,h7]) ).
thf(116,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,112,115,h3,h6]) ).
thf(117,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,109,116,h6,h12]) ).
thf(118,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,102,117,h10,h11]) ).
thf(119,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h17,h15,h13,h14,h4,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h5,118,h8,h9]) ).
thf(120,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h5])],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,87,119,h3,h5]) ).
thf(121,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h17])],[h14,80,120,h7,h17]) ).
thf(122,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h3,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(123,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h3,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(124,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,122,123,h3,h7]) ).
thf(125,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h3,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(126,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(127,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,125,126,h3,h7]) ).
thf(128,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,124,127,h3,h6]) ).
thf(129,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(130,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(131,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,129,130,h3,h7]) ).
thf(132,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(133,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(134,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,132,133,h3,h7]) ).
thf(135,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,131,134,h3,h6]) ).
thf(136,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(137,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(138,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,136,137,h3,h7]) ).
thf(139,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(140,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(141,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,139,140,h3,h7]) ).
thf(142,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,138,141,h3,h6]) ).
thf(143,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,135,142,h6,h12]) ).
thf(144,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(145,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(146,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,144,145,h3,h7]) ).
thf(147,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(148,plain,
( ~ sP16
| ~ sP18
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(149,plain,
( ~ sP15
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(150,plain,
( ~ sP7
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(151,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(152,plain,
( ~ sP10
| sP6
| ~ sP12
| ~ sP20 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(153,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(154,plain,
( ~ sP21
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(155,plain,
sP21,
inference(eq_sym,[status(thm)],[]) ).
thf(fact_7_usubstappt_Osimps_I3_J,axiom,
sP13 ).
thf(156,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h6,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[148,149,150,151,152,153,154,155,h2,h16,h11,fact_7_usubstappt_Osimps_I3_J]) ).
thf(157,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,147,156,h3,h7]) ).
thf(158,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,146,157,h3,h6]) ).
thf(159,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(160,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(161,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,159,160,h3,h7]) ).
thf(162,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(163,plain,
( ~ sP3
| sP8 ),
inference(all_rule,[status(thm)],[]) ).
thf(164,plain,
( ~ sP14
| ~ sP8
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(165,plain,
( ~ sP22
| sP14 ),
inference(all_rule,[status(thm)],[]) ).
thf(166,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(167,plain,
( ~ sP9
| sP1
| ~ sP17
| ~ sP4 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(168,plain,
( ~ sP21
| sP22 ),
inference(all_rule,[status(thm)],[]) ).
thf(169,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(170,plain,
sP21,
inference(eq_sym,[status(thm)],[]) ).
thf(fact_8_undeft__None,axiom,
sP4 ).
thf(fact_2_Const_Oprems_I2_J,axiom,
~ sP1 ).
thf(171,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h6,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0])],[163,164,165,166,167,168,169,170,h12,fact_8_undeft__None,fact_7_usubstappt_Osimps_I3_J,fact_2_Const_Oprems_I2_J]) ).
thf(172,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,162,171,h3,h7]) ).
thf(173,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,161,172,h3,h6]) ).
thf(174,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,158,173,h6,h12]) ).
thf(175,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,143,174,h10,h11]) ).
thf(176,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h7,h16,h13,h14,h4,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h5,175,h8,h9]) ).
thf(177,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h5])],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,128,176,h3,h5]) ).
thf(178,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h3,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(179,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h3,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(180,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h3,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,178,179,h3,h7]) ).
thf(181,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h3,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(182,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(183,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,181,182,h3,h7]) ).
thf(184,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,180,183,h3,h6]) ).
thf(185,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(186,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(187,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,185,186,h3,h7]) ).
thf(188,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(189,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(190,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,188,189,h3,h7]) ).
thf(191,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,187,190,h3,h6]) ).
thf(192,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(193,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(194,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,192,193,h3,h7]) ).
thf(195,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(196,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h6,h10]) ).
thf(197,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,195,196,h3,h7]) ).
thf(198,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,194,197,h3,h6]) ).
thf(199,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,191,198,h6,h12]) ).
thf(200,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(201,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(202,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,200,201,h3,h7]) ).
thf(203,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(204,plain,
( ~ sP7
| sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(205,plain,
( ~ sP16
| ~ sP18
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(206,plain,
( ~ sP15
| sP16 ),
inference(all_rule,[status(thm)],[]) ).
thf(207,plain,
( ~ sP10
| sP6
| ~ sP12
| ~ sP20 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(208,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(209,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(210,plain,
( ~ sP21
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(211,plain,
sP21,
inference(eq_sym,[status(thm)],[]) ).
thf(212,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h6,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[204,205,206,207,208,209,210,211,h2,h16,h11,fact_7_usubstappt_Osimps_I3_J]) ).
thf(213,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,203,212,h3,h7]) ).
thf(214,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,202,213,h3,h6]) ).
thf(215,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h3,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(216,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h3,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(217,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,215,216,h3,h7]) ).
thf(218,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h6,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[h3,h1]) ).
thf(219,plain,
( ~ sP3
| sP8 ),
inference(all_rule,[status(thm)],[]) ).
thf(220,plain,
( ~ sP14
| ~ sP8
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(221,plain,
( ~ sP22
| sP14 ),
inference(all_rule,[status(thm)],[]) ).
thf(222,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(223,plain,
( ~ sP9
| sP1
| ~ sP17
| ~ sP4 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(224,plain,
( ~ sP21
| sP22 ),
inference(all_rule,[status(thm)],[]) ).
thf(225,plain,
( ~ sP13
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(226,plain,
sP21,
inference(eq_sym,[status(thm)],[]) ).
thf(227,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h6,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0])],[219,220,221,222,223,224,225,226,h12,fact_8_undeft__None,fact_7_usubstappt_Osimps_I3_J,fact_2_Const_Oprems_I2_J]) ).
thf(228,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h7])],[fact_3_f3,218,227,h3,h7]) ).
thf(229,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h6])],[fact_4__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,217,228,h3,h6]) ).
thf(230,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h12])],[h9,214,229,h6,h12]) ).
thf(231,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,199,230,h10,h11]) ).
thf(232,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h17,h16,h13,h14,h4,h1,h2,h0]),tab_negimp(discharge,[h8,h9])],[h5,231,h8,h9]) ).
thf(233,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h5])],[fact_9__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AV_Af_092_060close_062,184,232,h3,h5]) ).
thf(234,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h17])],[h14,177,233,h7,h17]) ).
thf(235,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h4,h1,h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,121,234,h15,h16]) ).
thf(236,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h4,235,h13,h14]) ).
thf(fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062,axiom,
( ~ sP19
=> ~ ( ( sP5
=> sP10 )
=> ~ ( ~ sP5
=> ( none_trm
= ( uSubst1559070963pconst @ sigma @ u @ f ) ) ) ) ) ).
thf(237,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_10__092_060open_062SConst_A_092_060sigma_062_Af_A_092_060noteq_062_Aundeft_A_092_060longrightarrow_062_A_Iif_AFVT_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_A_092_060inter_062_AU_A_061_A_123_125_Athen_AAterm_A_Ithe_A_ISConst_A_092_060sigma_062_Af_J_J_Aelse_Aundeft_J_A_061_Ausappconst_A_092_060sigma_062_AU_Af_092_060close_062,40,236,h3,h4]) ).
thf(238,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,237,h1,h2]) ).
thf(0,theorem,
( ~ sP19
=> sP6 ),
inference(contra,[status(thm),contra(discharge,[h0])],[238,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP202^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n008.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 : 300
% 0.13/0.34 % DateTime : Wed Oct 8 17:57:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 17.45/17.49 % SZS status Theorem
% 17.45/17.49 % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 17.45/17.49 % Inferences: 20787
% 17.45/17.49 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------