TSTP Solution File: ITP204^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP204^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 : Sun Jul 17 00:29:30 EDT 2022
% Result : Theorem 27.46s 26.58s
% Output : Proof 27.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_option_game,type,
option_game: $tType ).
thf(ty_fml,type,
fml: $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_variable,type,
variable: $tType ).
thf(ty_produc1418842292n_game,type,
produc1418842292n_game: $tType ).
thf(ty_char,type,
char: $tType ).
thf(ty_trm,type,
trm: $tType ).
thf(ty_set_variable,type,
set_variable: $tType ).
thf(ty_option_fml,type,
option_fml: $tType ).
thf(ty_uSubst516392818stappt,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(ty_p,type,
p: char ).
thf(ty_member_variable,type,
member_variable: variable > set_variable > $o ).
thf(ty_produc1250175341on_fml,type,
produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(ty_theta,type,
theta: trm ).
thf(ty_va,type,
va: set_variable ).
thf(ty_produc1420172399on_fml,type,
produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(ty_vva,type,
vva: set_variable > set_variable > variable ).
thf(ty_none_fml,type,
none_fml: option_fml ).
thf(ty_vv,type,
vv: set_variable > set_variable > variable ).
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_uSubst1408967625substt,type,
uSubst1408967625substt: trm > produc1418842292n_game ).
thf(ty_uSubst516392804stappf,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf(ty_static_FVF,type,
static_FVF: fml > set_variable ).
thf(ty_produc1615133358on_fml,type,
produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(ty_ua,type,
ua: set_variable ).
thf(ty_the_trm,type,
the_trm: option_trm > trm ).
thf(ty_the_fml,type,
the_fml: option_fml > fml ).
thf(ty_pred,type,
pred: char > trm > fml ).
thf(ty_sigma,type,
sigma: produc1418842292n_game ).
thf(sP1,plain,
( sP1
<=> ( ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) )
= none_fml ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: option_fml,X2: option_fml] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p )
= none_fml ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) )
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
= none_fml ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) )
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) )
=> ( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
= ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) )
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
= ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) )
@ va )
= bot_bot_set_variable ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: option_fml] :
( ( ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) )
= X1 )
=> ( X1
= ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( uSubst516392804stappf @ sigma @ ua @ ( pred @ p @ theta ) )
= none_fml ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP5
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: option_fml] :
( ( ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X2: char > option_trm] :
( produc1615133358on_fml
@ ^ [X3: char > option_trm] :
( produc1420172399on_fml
@ ^ [X4: char > option_fml,X5: char > option_game] : X4 ) )
@ sigma
@ p ) ) )
= X1 )
=> ( X1
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X2: char > option_trm] :
( produc1615133358on_fml
@ ^ [X3: char > option_trm] :
( produc1420172399on_fml
@ ^ [X4: char > option_fml,X5: char > option_game] : X4 ) )
@ sigma
@ p ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(conj_0,conjecture,
( sP6
=> sP3 ) ).
thf(h0,negated_conjecture,
~ ( sP6
=> sP3 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
sP6,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h3,assumption,
( sP10
=> ! [X1: variable] :
( ( member_variable @ X1
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X2: char > option_trm] :
( produc1615133358on_fml
@ ^ [X3: char > option_trm] :
( produc1420172399on_fml
@ ^ [X4: char > option_fml,X5: char > option_game] : X4 ) )
@ sigma
@ p ) ) ) )
=> ! [X2: variable] :
( ( member_variable @ X2 @ va )
=> ( X1 != X2 ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( ~ sP10
=> ~ ( ~ ( ( member_variable
@ ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
=> ~ ( member_variable
@ ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ va ) )
=> ( ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
!= ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP10,
introduced(assumption,[]) ).
thf(h6,assumption,
! [X1: variable] :
( ( member_variable @ X1
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X2: char > option_trm] :
( produc1615133358on_fml
@ ^ [X3: char > option_trm] :
( produc1420172399on_fml
@ ^ [X4: char > option_fml,X5: char > option_game] : X4 ) )
@ sigma
@ p ) ) ) )
=> ! [X2: variable] :
( ( member_variable @ X2 @ va )
=> ( X1 != X2 ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP10,
introduced(assumption,[]) ).
thf(h8,assumption,
~ ( ~ ( ( member_variable
@ ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
=> ~ ( member_variable
@ ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ va ) )
=> ( ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
!= ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
sP8,
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( ( sP10
=> sP5 )
=> ~ ( ~ sP10
=> ( none_fml
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ) ) ),
introduced(assumption,[]) ).
thf(h11,assumption,
sP3,
introduced(assumption,[]) ).
thf(h12,assumption,
( sP10
=> sP5 ),
introduced(assumption,[]) ).
thf(h13,assumption,
( ~ sP10
=> ( none_fml
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
sP5,
introduced(assumption,[]) ).
thf(h15,assumption,
( none_fml
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,axiom,
~ ( sP10
=> sP1 ) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,1,h7,h16]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,3,h7,h16]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,2,4,h7,h15]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,6,h7,h16]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,8,h7,h16]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,7,9,h7,h15]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,5,10,h5,h14]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,11,h12,h13]) ).
thf(13,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h2,h7,h5,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h2,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,13,h7,h16]) ).
thf(fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,axiom,
( ( ( sP10
=> sP5 )
=> ~ ( ~ sP10
=> ( none_fml
= ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) ) ) )
=> sP3 ) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,12,14,h10,h11]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(17,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,16,h7,h16]) ).
thf(18,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,18,h7,h16]) ).
thf(20,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,17,19,h7,h15]) ).
thf(21,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(22,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,21,h7,h16]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,23,h7,h16]) ).
thf(25,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,22,24,h7,h15]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,20,25,h5,h14]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,26,h12,h13]) ).
thf(28,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h9,h7,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h7,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,28,h7,h16]) ).
thf(30,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,27,29,h10,h11]) ).
thf(fact_5_f8,axiom,
( sP3
=> sP8 ) ).
thf(31,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h9])],[fact_5_f8,15,30,h2,h9]) ).
thf(h17,assumption,
~ ( ( member_variable
@ ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
=> ~ ( member_variable
@ ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ va ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
( ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
= ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ) ),
introduced(assumption,[]) ).
thf(h19,assumption,
( member_variable
@ ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ),
introduced(assumption,[]) ).
thf(h20,assumption,
( member_variable
@ ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ va ),
introduced(assumption,[]) ).
thf(32,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(33,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,32,h7,h16]) ).
thf(34,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,34,h7,h16]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,33,35,h7,h15]) ).
thf(37,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,37,h7,h16]) ).
thf(39,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(40,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,39,h7,h16]) ).
thf(41,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,38,40,h7,h15]) ).
thf(42,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,36,41,h5,h14]) ).
thf(43,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,42,h12,h13]) ).
thf(44,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,44,h7,h16]) ).
thf(46,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,43,45,h10,h11]) ).
thf(47,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(48,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,47,h7,h16]) ).
thf(49,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(50,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,49,h7,h16]) ).
thf(51,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,48,50,h7,h15]) ).
thf(52,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(53,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,52,h7,h16]) ).
thf(54,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(55,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,54,h7,h16]) ).
thf(56,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,53,55,h7,h15]) ).
thf(57,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,51,56,h5,h14]) ).
thf(58,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,57,h12,h13]) ).
thf(59,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(60,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,59,h7,h16]) ).
thf(61,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,58,60,h10,h11]) ).
thf(62,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h19,h20,h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h9])],[fact_5_f8,46,61,h2,h9]) ).
thf(63,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,62,h19,h20]) ).
thf(64,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h8,63,h17,h18]) ).
thf(65,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h4,31,64,h7,h8]) ).
thf(66,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(67,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,66,h7,h16]) ).
thf(68,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(69,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,68,h7,h16]) ).
thf(70,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,67,69,h7,h15]) ).
thf(71,plain,
( ~ sP6
| sP1
| ~ sP4
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(72,plain,
( ~ sP13
| ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( ~ sP14
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(74,plain,
( ~ sP2
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(75,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(76,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0])],[71,72,73,74,75,h1,h14,h16]) ).
thf(77,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,76,h7,h16]) ).
thf(78,plain,
( ~ sP6
| sP1
| ~ sP4
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(79,plain,
( ~ sP13
| ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(80,plain,
( ~ sP14
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(81,plain,
( ~ sP2
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(82,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(83,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0])],[78,79,80,81,82,h1,h14,h16]) ).
thf(84,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,83,h7,h16]) ).
thf(85,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,77,84,h7,h15]) ).
thf(86,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,70,85,h5,h14]) ).
thf(87,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,86,h12,h13]) ).
thf(88,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h2,h7,h6,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(89,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h2,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,88,h7,h16]) ).
thf(90,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,87,89,h10,h11]) ).
thf(91,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(92,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,91,h7,h16]) ).
thf(93,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(94,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,93,h7,h16]) ).
thf(95,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,92,94,h7,h15]) ).
thf(96,plain,
( ~ sP6
| sP12
| ~ sP9
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(97,plain,
( ~ sP7
| ~ sP8
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(98,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(99,plain,
( ~ sP2
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(100,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(fact_1_Pred_Oprems_I2_J,axiom,
~ sP12 ).
thf(101,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0])],[96,97,98,99,100,h1,h9,fact_1_Pred_Oprems_I2_J]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,101,h7,h16]) ).
thf(103,plain,
( ~ sP6
| sP12
| ~ sP9
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(104,plain,
( ~ sP7
| ~ sP8
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(105,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(106,plain,
( ~ sP2
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(107,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(108,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0])],[103,104,105,106,107,h1,h9,fact_1_Pred_Oprems_I2_J]) ).
thf(109,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,108,h7,h16]) ).
thf(110,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,102,109,h7,h15]) ).
thf(111,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,95,110,h5,h14]) ).
thf(112,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,111,h12,h13]) ).
thf(113,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h9,h7,h6,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(114,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h7,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,113,h7,h16]) ).
thf(115,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,112,114,h10,h11]) ).
thf(116,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h9])],[fact_5_f8,90,115,h2,h9]) ).
thf(117,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(118,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,117,h7,h16]) ).
thf(119,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(120,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,119,h7,h16]) ).
thf(121,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,118,120,h7,h15]) ).
thf(122,plain,
( ~ sP6
| sP1
| ~ sP4
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(123,plain,
( ~ sP13
| ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(124,plain,
( ~ sP14
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(125,plain,
( ~ sP2
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(126,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(127,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[122,123,124,125,126,h1,h14,h16]) ).
thf(128,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,127,h7,h16]) ).
thf(129,plain,
( ~ sP6
| sP1
| ~ sP4
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(130,plain,
( ~ sP13
| ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(131,plain,
( ~ sP14
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(132,plain,
( ~ sP2
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(133,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(134,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[129,130,131,132,133,h1,h14,h16]) ).
thf(135,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,134,h7,h16]) ).
thf(136,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,128,135,h7,h15]) ).
thf(137,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,121,136,h5,h14]) ).
thf(138,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,137,h12,h13]) ).
thf(139,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(140,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,139,h7,h16]) ).
thf(141,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,138,140,h10,h11]) ).
thf(142,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h7,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(143,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,142,h7,h16]) ).
thf(144,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h15,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h7,h5]) ).
thf(145,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,144,h7,h16]) ).
thf(146,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,143,145,h7,h15]) ).
thf(147,plain,
( ~ sP6
| sP12
| ~ sP9
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(148,plain,
( ~ sP7
| ~ sP8
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(149,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(150,plain,
( ~ sP2
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(151,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(152,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h7,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[147,148,149,150,151,h1,h9,fact_1_Pred_Oprems_I2_J]) ).
thf(153,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,152,h7,h16]) ).
thf(154,plain,
( ~ sP6
| sP12
| ~ sP9
| ~ sP6 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(155,plain,
( ~ sP7
| ~ sP8
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(156,plain,
( ~ sP11
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(157,plain,
( ~ sP2
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(158,plain,
sP2,
inference(eq_sym,[status(thm)],]) ).
thf(159,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h16,h15,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[154,155,156,157,158,h1,h9,fact_1_Pred_Oprems_I2_J]) ).
thf(160,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,159,h7,h16]) ).
thf(161,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h14,h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h15])],[h13,153,160,h7,h15]) ).
thf(162,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h14])],[h12,146,161,h5,h14]) ).
thf(163,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,162,h12,h13]) ).
thf(164,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h16,h11,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0])],[h11,h2]) ).
thf(165,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h16])],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062,164,h7,h16]) ).
thf(166,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062,163,165,h10,h11]) ).
thf(167,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h19,h20,h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h9])],[fact_5_f8,141,166,h2,h9]) ).
thf(168,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,167,h19,h20]) ).
thf(169,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h8,168,h17,h18]) ).
thf(170,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h4,116,169,h7,h8]) ).
thf(171,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,65,170,h5,h6]) ).
thf(fact_15_f10,axiom,
~ ( ( sP10
=> ! [X1: variable] :
( ( member_variable @ X1
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X2: char > option_trm] :
( produc1615133358on_fml
@ ^ [X3: char > option_trm] :
( produc1420172399on_fml
@ ^ [X4: char > option_fml,X5: char > option_game] : X4 ) )
@ sigma
@ p ) ) ) )
=> ! [X2: variable] :
( ( member_variable @ X2 @ va )
=> ( X1 != X2 ) ) ) )
=> ~ ( ~ sP10
=> ~ ( ~ ( ( member_variable
@ ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
=> ~ ( member_variable
@ ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
@ va ) )
=> ( ( vv @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) )
!= ( vva @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X1: char > option_trm] :
( produc1615133358on_fml
@ ^ [X2: char > option_trm] :
( produc1420172399on_fml
@ ^ [X3: char > option_fml,X4: char > option_game] : X3 ) )
@ sigma
@ p ) ) ) ) ) ) ) ) ).
thf(172,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[fact_15_f10,171,h3,h4]) ).
thf(173,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,172,h1,h2]) ).
thf(0,theorem,
( sP6
=> sP3 ),
inference(contra,[status(thm),contra(discharge,[h0])],[173,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP204^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n019.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 : Fri Jun 3 06:06:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 27.46/26.58 % SZS status Theorem
% 27.46/26.58 % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 27.46/26.58 % Inferences: 23893
% 27.46/26.58 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------