0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.11/0.33	Computer   : n022.cluster.edu
0.11/0.33	Model      : x86_64 x86_64
0.11/0.33	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	RAMPerCPU  : 8042.1875MB
0.11/0.33	OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1440
0.11/0.33	% DateTime   : Mon Jul  3 07:49:29 EDT 2023
0.11/0.33	% CPUTime    : 
125.72/122.90	% SZS status Theorem
125.72/122.90	% Mode: mode94:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
125.72/122.90	% Inferences: 143
125.72/122.90	% SZS output start Proof
125.72/122.90	thf(ty_option_game, type, option_game : $tType).
125.72/122.90	thf(ty_fml, type, fml : $tType).
125.72/122.90	thf(ty_produc62062515n_game, type, produc62062515n_game : $tType).
125.72/122.90	thf(ty_option_trm, type, option_trm : $tType).
125.72/122.90	thf(ty_produc799602994n_game, type, produc799602994n_game : $tType).
125.72/122.90	thf(ty_produc1418842292n_game, type, produc1418842292n_game : $tType).
125.72/122.90	thf(ty_trm, type, trm : $tType).
125.72/122.90	thf(ty_char, type, char : $tType).
125.72/122.90	thf(ty_set_variable, type, set_variable : $tType).
125.72/122.90	thf(ty_option_fml, type, option_fml : $tType).
125.72/122.90	thf(ty_uSubst516392818stappt, type, uSubst516392818stappt : (produc1418842292n_game>set_variable>trm>option_trm)).
125.72/122.90	thf(ty_p, type, p : char).
125.72/122.90	thf(ty_produc1250175341on_fml, type, produc1250175341on_fml : (((char>option_trm)>produc62062515n_game>char>option_fml)>produc1418842292n_game>char>option_fml)).
125.72/122.90	thf(ty_theta, type, theta : trm).
125.72/122.90	thf(ty_va, type, va : set_variable).
125.72/122.90	thf(ty_produc1420172399on_fml, type, produc1420172399on_fml : (((char>option_fml)>(char>option_game)>char>option_fml)>produc799602994n_game>char>option_fml)).
125.72/122.90	thf(ty_if_option_fml, type, if_option_fml : ($o>option_fml>option_fml>option_fml)).
125.72/122.90	thf(ty_none_fml, type, none_fml : option_fml).
125.72/122.90	thf(ty_bot_bot_set_variable, type, bot_bot_set_variable : set_variable).
125.72/122.90	thf(ty_inf_inf_set_variable, type, inf_inf_set_variable : (set_variable>set_variable>set_variable)).
125.72/122.90	thf(ty_case_o209804997ml_fml, type, case_o209804997ml_fml : (option_fml>(fml>option_fml)>option_fml>option_fml)).
125.72/122.90	thf(ty_uSubst1408967625substt, type, uSubst1408967625substt : (trm>produc1418842292n_game)).
125.72/122.90	thf(ty_uSubst516392804stappf, type, uSubst516392804stappf : (produc1418842292n_game>set_variable>fml>option_fml)).
125.72/122.90	thf(ty_static_FVF, type, static_FVF : (fml>set_variable)).
125.72/122.90	thf(ty_produc1615133358on_fml, type, produc1615133358on_fml : (((char>option_trm)>produc799602994n_game>char>option_fml)>produc62062515n_game>char>option_fml)).
125.72/122.90	thf(ty_ua, type, ua : set_variable).
125.72/122.90	thf(ty_the_fml, type, the_fml : (option_fml>fml)).
125.72/122.90	thf(ty_the_trm, type, the_trm : (option_trm>trm)).
125.72/122.90	thf(ty_some_fml, type, some_fml : (fml>option_fml)).
125.72/122.90	thf(ty_pred, type, pred : (char>trm>fml)).
125.72/122.90	thf(ty_sigma, type, sigma : produc1418842292n_game).
125.72/122.90	thf(sP1,plain,sP1 <=> ((((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) = (some_fml @ (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,[sP1])])).
125.72/122.90	thf(sP2,plain,sP2 <=> (![X1:set_variable]:(![X2:trm]:(sP1 => ((~((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (((produc1250175341on_fml @ (^[X3:char>option_trm]:(produc1615133358on_fml @ (^[X4:char>option_trm]:(produc1420172399on_fml @ (^[X5:char>option_fml]:(^[X6:char>option_game]:X5))))))) @ sigma) @ p)))) @ X1) = bot_bot_set_variable))) => ((((uSubst516392804stappf @ sigma) @ X1) @ ((pred @ p) @ X2)) = none_fml))))),introduced(definition,[new_symbols(definition,[sP2])])).
125.72/122.90	thf(sP3,plain,sP3 <=> ((~((((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))) => ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = none_fml)),introduced(definition,[new_symbols(definition,[sP3])])).
125.72/122.90	thf(sP4,plain,sP4 <=> ((((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,[sP4])])).
125.72/122.90	thf(sP5,plain,sP5 <=> (![X1:fml]:(![X2:set_variable]:(![X3:trm]:(((((produc1250175341on_fml @ (^[X4:char>option_trm]:(produc1615133358on_fml @ (^[X5:char>option_trm]:(produc1420172399on_fml @ (^[X6:char>option_fml]:(^[X7:char>option_game]:X6))))))) @ sigma) @ p) = (some_fml @ X1)) => ((~((((inf_inf_set_variable @ (static_FVF @ X1)) @ X2) = bot_bot_set_variable))) => ((((uSubst516392804stappf @ sigma) @ X2) @ ((pred @ p) @ X3)) = none_fml)))))),introduced(definition,[new_symbols(definition,[sP5])])).
125.72/122.90	thf(sP6,plain,sP6 <=> (![X1:option_fml]:((~((X1 = none_fml))) => (X1 = (some_fml @ (the_fml @ X1))))),introduced(definition,[new_symbols(definition,[sP6])])).
125.72/122.90	thf(sP7,plain,sP7 <=> ((((uSubst516392804stappf @ sigma) @ ua) @ ((pred @ p) @ theta)) = (((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta))),introduced(definition,[new_symbols(definition,[sP7])])).
125.72/122.90	thf(sP8,plain,sP8 <=> (sP1 => sP3),introduced(definition,[new_symbols(definition,[sP8])])).
125.72/122.90	thf(sP9,plain,sP9 <=> (((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,[sP9])])).
125.72/122.90	thf(sP10,plain,sP10 <=> ((~(sP4)) => sP1),introduced(definition,[new_symbols(definition,[sP10])])).
125.72/122.90	thf(sP11,plain,sP11 <=> (![X1:produc1418842292n_game]:(![X2:char]:(![X3:fml]:(![X4:set_variable]:(![X5:trm]:(((((produc1250175341on_fml @ (^[X6:char>option_trm]:(produc1615133358on_fml @ (^[X7:char>option_trm]:(produc1420172399on_fml @ (^[X8:char>option_fml]:(^[X9:char>option_game]:X8))))))) @ X1) @ X2) = (some_fml @ X3)) => ((~((((inf_inf_set_variable @ (static_FVF @ X3)) @ X4) = bot_bot_set_variable))) => ((((uSubst516392804stappf @ X1) @ X4) @ ((pred @ X2) @ X5)) = none_fml)))))))),introduced(definition,[new_symbols(definition,[sP11])])).
125.72/122.90	thf(sP12,plain,sP12 <=> ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ theta)) = none_fml),introduced(definition,[new_symbols(definition,[sP12])])).
125.72/122.90	thf(sP13,plain,sP13 <=> (![X1:char]:(![X2:fml]:(![X3:set_variable]:(![X4:trm]:(((((produc1250175341on_fml @ (^[X5:char>option_trm]:(produc1615133358on_fml @ (^[X6:char>option_trm]:(produc1420172399on_fml @ (^[X7:char>option_fml]:(^[X8:char>option_game]:X7))))))) @ sigma) @ X1) = (some_fml @ X2)) => ((~((((inf_inf_set_variable @ (static_FVF @ X2)) @ X3) = bot_bot_set_variable))) => ((((uSubst516392804stappf @ sigma) @ X3) @ ((pred @ X1) @ X4)) = none_fml))))))),introduced(definition,[new_symbols(definition,[sP13])])).
125.72/122.90	thf(sP14,plain,sP14 <=> (![X1:trm]:(sP1 => ((~(sP9)) => ((((uSubst516392804stappf @ sigma) @ va) @ ((pred @ p) @ X1)) = none_fml)))),introduced(definition,[new_symbols(definition,[sP14])])).
125.72/122.90	thf(conj_0,conjecture,sP4).
125.72/122.90	thf(h0,negated_conjecture,(~(sP4)),inference(assume_negation,[status(cth)],[conj_0])).
125.72/122.90	thf(h1,assumption,(~(sP4)),introduced(assumption,[])).
125.72/122.90	thf(h2,assumption,sP7,introduced(assumption,[])).
125.72/122.90	thf(h3,assumption,(~((sP9 => ((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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 @ (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(assumption,[])).
125.72/122.90	thf(h4,assumption,(~(((~(sP9)) => ((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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(assumption,[])).
125.72/122.90	thf(h5,assumption,sP9,introduced(assumption,[])).
125.72/122.90	thf(h6,assumption,(~(((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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 @ (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(assumption,[])).
125.72/122.90	thf(h7,assumption,((((uSubst516392804stappf @ sigma) @ ua) @ ((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(assumption,[])).
125.72/122.90	thf(h8,assumption,sP4,introduced(assumption,[])).
125.72/122.90	thf(h9,assumption,(~(sP9)),introduced(assumption,[])).
125.72/122.90	thf(h10,assumption,(~((none_fml = (((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(assumption,[])).
125.72/122.90	thf(h11,assumption,(~((sP9 => ((((uSubst516392804stappf @ sigma) @ ua) @ ((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(assumption,[])).
125.72/122.90	thf(h12,assumption,(~(((~(sP9)) => ((((uSubst516392804stappf @ sigma) @ ua) @ ((pred @ p) @ theta)) = none_fml)))),introduced(assumption,[])).
125.72/122.90	thf(h13,assumption,(~(((((uSubst516392804stappf @ sigma) @ ua) @ ((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(assumption,[])).
125.72/122.90	thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h7,h5,h6,h3,h1,h0])],[h5,h9])).
125.72/122.90	thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h7,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h5,h13])],[h11,1,h5,h13])).
125.72/122.90	thf(h14,assumption,(~(((((uSubst516392804stappf @ sigma) @ ua) @ ((pred @ p) @ theta)) = none_fml))),introduced(assumption,[])).
125.72/122.90	thf(3,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h7,h5,h6,h3,h1,h0])],[h5,h9])).
125.72/122.90	thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h7,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h9,h14])],[h12,3,h9,h14])).
125.72/122.90	thf(fact_28_calculation_I1_J,axiom,((sP9 => ((((uSubst516392804stappf @ sigma) @ ua) @ ((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))))) => (~(((~(sP9)) => ((((uSubst516392804stappf @ sigma) @ ua) @ ((pred @ p) @ theta)) = none_fml)))))).
125.72/122.90	thf(5,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h7,h5,h6,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,2,4,h11,h12])).
125.72/122.90	thf(fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,axiom,(~(((~(sP9)) => (none_fml = (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ (the_fml @ (((produc1250175341on_fml @ (^[X1:char>option_trm]:(produc1615133358on_fml @ (^[X2:char>option_trm]:(produc1420172399on_fml @ (^[X3:char>option_fml]:(^[X4:char>option_game]:X3))))))) @ sigma) @ p)))))))).
125.72/122.90	thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__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_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_092_060close_062,5,h9,h10])).
125.72/122.90	thf(7,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h8,h5,h6,h3,h1,h0])],[h5,h9])).
125.72/122.90	thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h8,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h5,h13])],[h11,7,h5,h13])).
125.72/122.90	thf(9,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h8,h5,h6,h3,h1,h0])],[h5,h9])).
125.72/122.90	thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h8,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h9,h14])],[h12,9,h9,h14])).
125.72/122.90	thf(11,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h8,h5,h6,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,8,10,h11,h12])).
125.72/122.90	thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h5,h6,h3,h1,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__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_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_092_060close_062,11,h9,h10])).
125.72/122.90	thf(fact_29_calculation_I2_J,axiom,((~(((((uSubst516392804stappf @ sigma) @ ua) @ ((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)))))) => sP4)).
125.72/122.90	thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29_calculation_I2_J,6,12,h7,h8])).
125.72/122.90	thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h0]),tab_negimp(discharge,[h5,h6])],[h3,13,h5,h6])).
125.72/122.90	thf(h15,assumption,(~(((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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(assumption,[])).
125.72/122.90	thf(15,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h7,h9,h15,h4,h1,h0])],[h5,h9])).
125.72/122.90	thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h7,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h5,h13])],[h11,15,h5,h13])).
125.72/122.90	thf(17,plain,(~(sP11) | sP13),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(18,plain,(~(sP13) | sP5),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(19,plain,(~(sP5) | sP2),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(20,plain,(~(sP2) | sP14),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(21,plain,(~(sP14) | sP8),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(22,plain,((~(sP8) | ~(sP1)) | sP3),inference(prop_rule,[status(thm)],[])).
125.72/122.90	thf(23,plain,((~(sP3) | sP9) | sP12),inference(prop_rule,[status(thm)],[])).
125.72/122.90	thf(24,plain,(~(sP6) | sP10),inference(all_rule,[status(thm)],[])).
125.72/122.90	thf(25,plain,((~(sP10) | sP4) | sP1),inference(prop_rule,[status(thm)],[])).
125.72/122.90	thf(fact_1_Pred_Oprems_I2_J,axiom,(~(sP12))).
125.72/122.90	thf(fact_133_option_Oexhaust__sel,axiom,sP6).
125.72/122.90	thf(fact_32_usubstappf__pred2,axiom,sP11).
125.72/122.90	thf(26,plain,$false,inference(prop_unsat,[status(thm),assumptions([h9,h14,h12,h9,h10,h7,h9,h15,h4,h1,h0])],[17,18,19,20,21,22,23,24,25,h1,fact_1_Pred_Oprems_I2_J,fact_133_option_Oexhaust__sel,fact_32_usubstappf__pred2,h9])).
125.72/122.90	thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h7,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h9,h14])],[h12,26,h9,h14])).
125.72/122.90	thf(28,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h7,h9,h15,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,16,27,h11,h12])).
125.72/122.90	thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__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_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_092_060close_062,28,h9,h10])).
125.72/122.90	thf(30,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h8,h9,h15,h4,h1,h0])],[h5,h9])).
125.72/122.90	thf(31,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h8,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h5,h13])],[h11,30,h5,h13])).
125.72/122.90	thf(32,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h8,h9,h15,h4,h1,h0])],[h8,h1])).
125.72/122.90	thf(33,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h8,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h9,h14])],[h12,32,h9,h14])).
125.72/122.90	thf(34,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h8,h9,h15,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,31,33,h11,h12])).
125.72/122.90	thf(35,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h9,h15,h4,h1,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__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_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_092_060close_062,34,h9,h10])).
125.72/122.90	thf(36,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h15,h4,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29_calculation_I2_J,29,35,h7,h8])).
125.72/122.90	thf(37,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h1,h0]),tab_negimp(discharge,[h9,h15])],[h4,36,h9,h15])).
125.72/122.90	thf(fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_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_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_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_092_060close_062,axiom,((sP9 => ((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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 @ (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))))) => (~(((~(sP9)) => ((((case_o209804997ml_fml @ (some_fml @ ((pred @ p) @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta))))) @ (^[X1:fml]:(((if_option_fml @ (((inf_inf_set_variable @ (static_FVF @ X1)) @ va) = bot_bot_set_variable)) @ (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (((uSubst516392818stappt @ sigma) @ va) @ theta)))) @ bot_bot_set_variable) @ X1)) @ none_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)))))).
125.72/122.90	thf(38,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_092_060close_062,14,37,h3,h4])).
125.72/122.90	thf(39,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h7,h5,h6,h3,h2,h0])],[h5,h9])).
125.72/122.90	thf(40,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h7,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h5,h13])],[h11,39,h5,h13])).
125.72/122.90	thf(41,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h7,h5,h6,h3,h2,h0])],[h5,h9])).
125.72/122.90	thf(42,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h7,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h9,h14])],[h12,41,h9,h14])).
125.72/122.90	thf(43,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h7,h5,h6,h3,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,40,42,h11,h12])).
125.72/122.90	thf(44,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,43,h9,h10])).
125.72/122.90	thf(45,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h8,h5,h6,h3,h2,h0])],[h5,h9])).
125.72/122.90	thf(46,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h8,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h5,h13])],[h11,45,h5,h13])).
125.72/122.90	thf(47,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h8,h5,h6,h3,h2,h0])],[h5,h9])).
125.72/122.90	thf(48,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h8,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h9,h14])],[h12,47,h9,h14])).
125.72/122.90	thf(49,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h8,h5,h6,h3,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,46,48,h11,h12])).
125.72/122.90	thf(50,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h5,h6,h3,h2,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,49,h9,h10])).
125.72/122.90	thf(51,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29_calculation_I2_J,44,50,h7,h8])).
125.72/122.90	thf(52,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,51,h5,h6])).
125.72/122.90	thf(53,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h7,h9,h15,h4,h2,h0])],[h5,h9])).
125.72/122.90	thf(54,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h7,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h5,h13])],[h11,53,h5,h13])).
125.72/122.90	thf(fact_26__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_092_060close_062,axiom,(~(sP7))).
125.72/122.90	thf(55,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h7,h9,h15,h4,h2,h0])],[h2,fact_26__092_060open_062usubstappf_A_092_060sigma_062_AU_A_IPred_Ap_A_092_060theta_062_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_092_060close_062])).
125.72/122.90	thf(56,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h7,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h9,h14])],[h12,55,h9,h14])).
125.72/122.90	thf(57,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h7,h9,h15,h4,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,54,56,h11,h12])).
125.72/122.90	thf(58,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,57,h9,h10])).
125.72/122.90	thf(59,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h13,h11,h9,h10,h8,h9,h15,h4,h2,h0])],[h5,h9])).
125.72/122.90	thf(60,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h9,h10,h8,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h5,h13])],[h11,59,h5,h13])).
125.72/122.90	thf(61,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h14,h12,h9,h10,h8,h9,h15,h4,h2,h0])],[h8,h0])).
125.72/122.90	thf(62,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h9,h10,h8,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h9,h14])],[h12,61,h9,h14])).
125.72/122.90	thf(63,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h8,h9,h15,h4,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[fact_28_calculation_I1_J,60,62,h11,h12])).
125.72/122.91	thf(64,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h9,h15,h4,h2,h0]),tab_negimp(discharge,[h9,h10])],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,63,h9,h10])).
125.72/122.91	thf(65,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h15,h4,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29_calculation_I2_J,58,64,h7,h8])).
125.72/122.91	thf(66,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h2,h0]),tab_negimp(discharge,[h9,h15])],[h4,65,h9,h15])).
125.72/122.91	thf(67,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_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_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_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_092_060close_062,52,66,h3,h4])).
125.72/122.91	thf(fact_9_f9,axiom,(sP4 => sP7)).
125.72/122.91	thf(68,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_9_f9,38,67,h1,h2])).
125.72/122.91	thf(0,theorem,sP4,inference(contra,[status(thm),contra(discharge,[h0])],[68,h0])).
125.72/122.91	% SZS output end Proof
125.72/122.91	EOF