TSTP Solution File: NUM925^3 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM925^3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 13:57:41 EDT 2022
% Result : Theorem 16.44s 16.55s
% Output : Proof 16.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM925^3 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 20:12:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 16.44/16.55 % SZS status Theorem
% 16.44/16.55 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 16.44/16.55 % Inferences: 2
% 16.44/16.55 % SZS output start Proof
% 16.44/16.55 thf(ty_int, type, int : $tType).
% 16.44/16.55 thf(ty_nat, type, nat : $tType).
% 16.44/16.55 thf(ty_semiri1621563631at_int, type, semiri1621563631at_int : (nat>int)).
% 16.44/16.55 thf(ty_eigen__6, type, eigen__6 : int).
% 16.44/16.55 thf(ty_eigen__2, type, eigen__2 : int).
% 16.44/16.55 thf(ty_eigen__7, type, eigen__7 : int).
% 16.44/16.55 thf(ty_s, type, s : int).
% 16.44/16.55 thf(ty_eigen__1, type, eigen__1 : int).
% 16.44/16.55 thf(ty_n, type, n : nat).
% 16.44/16.55 thf(ty_eigen__0, type, eigen__0 : int).
% 16.44/16.55 thf(ty_bit1, type, bit1 : (int>int)).
% 16.44/16.55 thf(ty_bit0, type, bit0 : (int>int)).
% 16.44/16.55 thf(ty_eigen__4, type, eigen__4 : int).
% 16.44/16.55 thf(ty_y, type, y : int).
% 16.44/16.55 thf(ty_eigen__5, type, eigen__5 : int).
% 16.44/16.55 thf(ty_zcong, type, zcong : (int>int>int>$o)).
% 16.44/16.55 thf(ty_times_times_int, type, times_times_int : (int>int>int)).
% 16.44/16.55 thf(ty_eigen__3, type, eigen__3 : int).
% 16.44/16.55 thf(ty_min, type, min : int).
% 16.44/16.55 thf(ty_ord_less_eq_int, type, ord_less_eq_int : (int>int>$o)).
% 16.44/16.55 thf(ty_zero_zero_int, type, zero_zero_int : int).
% 16.44/16.55 thf(ty_eigen__8, type, eigen__8 : int).
% 16.44/16.55 thf(ty_eigen__9, type, eigen__9 : int).
% 16.44/16.55 thf(ty_one_one_int, type, one_one_int : int).
% 16.44/16.55 thf(ty_pls, type, pls : int).
% 16.44/16.55 thf(ty_power_power_int, type, power_power_int : (int>nat>int)).
% 16.44/16.55 thf(ty_plus_plus_int, type, plus_plus_int : (int>int>int)).
% 16.44/16.55 thf(ty_abs_abs_int, type, abs_abs_int : (int>int)).
% 16.44/16.55 thf(ty_ord_less_int, type, ord_less_int : (int>int>$o)).
% 16.44/16.55 thf(ty_number_number_of_int, type, number_number_of_int : (int>int)).
% 16.44/16.55 thf(ty_s1, type, s1 : int).
% 16.44/16.55 thf(ty_m, type, m : int).
% 16.44/16.55 thf(ty_twoSqu919416604sum2sq, type, twoSqu919416604sum2sq : (int>$o)).
% 16.44/16.55 thf(ty_x, type, x : int).
% 16.44/16.55 thf(ty_number_number_of_nat, type, number_number_of_nat : (int>nat)).
% 16.44/16.55 thf(ty_minus_minus_int, type, minus_minus_int : (int>int>int)).
% 16.44/16.55 thf(conj_0,conjecture,(~((((power_power_int @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) = zero_zero_int)))).
% 16.44/16.55 thf(h0,negated_conjecture,(((power_power_int @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) = zero_zero_int),inference(assume_negation,[status(cth)],[conj_0])).
% 16.44/16.55 thf(h1,assumption,(~((![X1:int]:((X1 = ((minus_minus_int @ x) @ ((times_times_int @ eigen__0) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ X1))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h2,assumption,(~(((eigen__1 = ((minus_minus_int @ x) @ ((times_times_int @ eigen__0) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ eigen__1))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n)))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h3,assumption,(eigen__1 = ((minus_minus_int @ x) @ ((times_times_int @ eigen__0) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))),introduced(assumption,[])).
% 16.44/16.55 thf(h4,assumption,((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ eigen__1))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))),introduced(assumption,[])).
% 16.44/16.55 thf(h5,assumption,(~((![X1:int]:((X1 = ((minus_minus_int @ y) @ ((times_times_int @ eigen__2) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ X1))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h6,assumption,(~(((eigen__3 = ((minus_minus_int @ y) @ ((times_times_int @ eigen__2) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ eigen__3))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n)))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h7,assumption,(eigen__3 = ((minus_minus_int @ y) @ ((times_times_int @ eigen__2) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))),introduced(assumption,[])).
% 16.44/16.55 thf(h8,assumption,((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ eigen__3))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))),introduced(assumption,[])).
% 16.44/16.55 thf(h9,assumption,(~(((~((((ord_less_eq_int @ zero_zero_int) @ eigen__4) => (~(((ord_less_int @ eigen__4) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ eigen__4) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h10,assumption,(~((((ord_less_eq_int @ zero_zero_int) @ eigen__4) => (~(((ord_less_int @ eigen__4) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h11,assumption,(((zcong @ s1) @ eigen__4) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h12,assumption,((ord_less_eq_int @ zero_zero_int) @ eigen__4),introduced(assumption,[])).
% 16.44/16.55 thf(h13,assumption,((ord_less_int @ eigen__4) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h14,assumption,(~(((~(((~((((ord_less_eq_int @ zero_zero_int) @ eigen__5) => (~(((ord_less_int @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((![X1:int]:((~(((~((((ord_less_eq_int @ zero_zero_int) @ X1) => (~(((ord_less_int @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (X1 = eigen__5)))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h15,assumption,(~(((~((((ord_less_eq_int @ zero_zero_int) @ eigen__5) => (~(((ord_less_int @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h16,assumption,(![X1:int]:((~(((~((((ord_less_eq_int @ zero_zero_int) @ X1) => (~(((ord_less_int @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (X1 = eigen__5))),introduced(assumption,[])).
% 16.44/16.55 thf(h17,assumption,(~((((ord_less_eq_int @ zero_zero_int) @ eigen__5) => (~(((ord_less_int @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h18,assumption,(((zcong @ s1) @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h19,assumption,((ord_less_eq_int @ zero_zero_int) @ eigen__5),introduced(assumption,[])).
% 16.44/16.55 thf(h20,assumption,((ord_less_int @ eigen__5) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h21,assumption,(((zcong @ ((power_power_int @ eigen__6) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ (number_number_of_int @ min)) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h22,assumption,(~((((ord_less_eq_int @ zero_zero_int) @ s) => (~(((ord_less_int @ s) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h23,assumption,(((zcong @ s1) @ s) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h24,assumption,((ord_less_eq_int @ zero_zero_int) @ s),introduced(assumption,[])).
% 16.44/16.55 thf(h25,assumption,((ord_less_int @ s) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h26,assumption,(((plus_plus_int @ ((power_power_int @ s) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ one_one_int) = ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ eigen__7)),introduced(assumption,[])).
% 16.44/16.55 thf(h27,assumption,(~((![X1:int]:(~((((plus_plus_int @ ((power_power_int @ eigen__8) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))),introduced(assumption,[])).
% 16.44/16.55 thf(h28,assumption,(((plus_plus_int @ ((power_power_int @ eigen__8) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ eigen__9) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n)))),introduced(assumption,[])).
% 16.44/16.55 thf(h29,assumption,((ord_less_int @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)),introduced(assumption,[])).
% 16.44/16.55 thf(h30,assumption,(twoSqu919416604sum2sq @ ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n)))),introduced(assumption,[])).
% 16.44/16.55 thf(ax8, axiom, (~(p471)|p472), file('<stdin>', ax8)).
% 16.44/16.55 thf(pax418, axiom, (p418=>![X26:int, X27:int]:(ford_less_int @ fzero_zero_int @ X27=>(ford_less_int @ X27 @ X26=>~(fzcong @ X27 @ fzero_zero_int @ X26)))), file('<stdin>', pax418)).
% 16.44/16.55 thf(pax436, axiom, (p436=>![X15:int, X11:int]:fzcong @ X15 @ X11 @ fone_one_int), file('<stdin>', pax436)).
% 16.44/16.55 thf(pax228, axiom, (p228=>![X82:int, X79:int]:(fminus_minus_int @ (fplus_plus_int @ X82 @ X79) @ X79)=(X82)), file('<stdin>', pax228)).
% 16.44/16.55 thf(pax87, axiom, (p87=>![X121:int]:(fplus_plus_int @ fzero_zero_int @ X121)=(X121)), file('<stdin>', pax87)).
% 16.44/16.55 thf(pax51, axiom, (p51=>![X123:int, X111:int]:(fplus_plus_int @ X123 @ X111)=(fplus_plus_int @ X111 @ X123)), file('<stdin>', pax51)).
% 16.44/16.55 thf(ax7, axiom, (~(p472)|p473), file('<stdin>', ax7)).
% 16.44/16.55 thf(ax9, axiom, p471, file('<stdin>', ax9)).
% 16.44/16.55 thf(ax61, axiom, p418, file('<stdin>', ax61)).
% 16.44/16.55 thf(ax43, axiom, p436, file('<stdin>', ax43)).
% 16.44/16.55 thf(pax1, axiom, (p1=>ford_less_int @ fzero_zero_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn))), file('<stdin>', pax1)).
% 16.44/16.55 thf(pax439, axiom, (p439=>![X15:int, X11:int]:(ford_less_eq_int @ X15 @ (fminus_minus_int @ X11 @ fone_one_int)=>ford_less_int @ X15 @ X11)), file('<stdin>', pax439)).
% 16.44/16.55 thf(ax251, axiom, p228, file('<stdin>', ax251)).
% 16.44/16.55 thf(ax392, axiom, p87, file('<stdin>', ax392)).
% 16.44/16.55 thf(pax80, axiom, (p80=>(fpls)=(fzero_zero_int)), file('<stdin>', pax80)).
% 16.44/16.55 thf(pax103, axiom, (p103=>![X115:int]:(fbit1 @ X115)=(fplus_plus_int @ (fplus_plus_int @ fone_one_int @ X115) @ X115)), file('<stdin>', pax103)).
% 16.44/16.55 thf(ax428, axiom, p51, file('<stdin>', ax428)).
% 16.44/16.55 thf(pax86, axiom, (p86=>![X121:int]:(fplus_plus_int @ X121 @ fzero_zero_int)=(X121)), file('<stdin>', pax86)).
% 16.44/16.55 thf(pax85, axiom, (p85=>![X121:int]:(fbit0 @ X121)=(fplus_plus_int @ X121 @ X121)), file('<stdin>', pax85)).
% 16.44/16.55 thf(ax6, axiom, (~(p473)|~(p469)|p470), file('<stdin>', ax6)).
% 16.44/16.55 thf(ax478, axiom, p1, file('<stdin>', ax478)).
% 16.44/16.55 thf(ax40, axiom, p439, file('<stdin>', ax40)).
% 16.44/16.55 thf(pax331, axiom, (p331=>![X56:int]:ford_less_eq_int @ X56 @ (fpower_power_int @ X56 @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))), file('<stdin>', pax331)).
% 16.44/16.55 thf(ax399, axiom, p80, file('<stdin>', ax399)).
% 16.44/16.55 thf(ax376, axiom, p103, file('<stdin>', ax376)).
% 16.44/16.55 thf(ax393, axiom, p86, file('<stdin>', ax393)).
% 16.44/16.55 thf(ax394, axiom, p85, file('<stdin>', ax394)).
% 16.44/16.55 thf(pax470, axiom, (p470=>(fzero_zero_int)=(fpower_power_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))), file('<stdin>', pax470)).
% 16.44/16.55 thf(ax10, axiom, p469, file('<stdin>', ax10)).
% 16.44/16.55 thf(ax148, axiom, p331, file('<stdin>', ax148)).
% 16.44/16.55 thf(c_0_30, plain, (~p471|p472), inference(fof_simplification,[status(thm)],[ax8])).
% 16.44/16.55 thf(c_0_31, plain, ![X286:int, X287:int]:(~p418|(~ford_less_int @ fzero_zero_int @ X287|(~ford_less_int @ X287 @ X286|~fzcong @ X287 @ fzero_zero_int @ X286))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax418])])])])).
% 16.44/16.55 thf(c_0_32, plain, ![X252:int, X253:int]:(~p436|fzcong @ X252 @ X253 @ fone_one_int), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax436])])])).
% 16.44/16.55 thf(c_0_33, plain, ![X710:int, X711:int]:(~p228|(fminus_minus_int @ (fplus_plus_int @ X710 @ X711) @ X711)=(X710)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax228])])])).
% 16.44/16.55 thf(c_0_34, plain, ![X1102:int]:(~p87|(fplus_plus_int @ fzero_zero_int @ X1102)=(X1102)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax87])])])).
% 16.44/16.55 thf(c_0_35, plain, ![X1130:int, X1131:int]:(~p51|(fplus_plus_int @ X1130 @ X1131)=(fplus_plus_int @ X1131 @ X1130)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax51])])])).
% 16.44/16.55 thf(c_0_36, plain, (~p472|p473), inference(fof_simplification,[status(thm)],[ax7])).
% 16.44/16.55 thf(c_0_37, plain, (p472|~p471), inference(split_conjunct,[status(thm)],[c_0_30])).
% 16.44/16.55 thf(c_0_38, plain, p471, inference(split_conjunct,[status(thm)],[ax9])).
% 16.44/16.55 thf(c_0_39, plain, ![X4:int, X5:int]:(~p418|~ford_less_int @ fzero_zero_int @ X4|~ford_less_int @ X4 @ X5|~fzcong @ X4 @ fzero_zero_int @ X5), inference(split_conjunct,[status(thm)],[c_0_31])).
% 16.44/16.55 thf(c_0_40, plain, p418, inference(split_conjunct,[status(thm)],[ax61])).
% 16.44/16.55 thf(c_0_41, plain, ![X4:int, X5:int]:(fzcong @ X4 @ X5 @ fone_one_int|~p436), inference(split_conjunct,[status(thm)],[c_0_32])).
% 16.44/16.55 thf(c_0_42, plain, p436, inference(split_conjunct,[status(thm)],[ax43])).
% 16.44/16.55 thf(c_0_43, plain, (~p1|ford_less_int @ fzero_zero_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn))), inference(fof_nnf,[status(thm)],[pax1])).
% 16.44/16.55 thf(c_0_44, plain, ![X228:int, X229:int]:(~p439|(~ford_less_eq_int @ X228 @ (fminus_minus_int @ X229 @ fone_one_int)|ford_less_int @ X228 @ X229)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax439])])])).
% 16.44/16.55 thf(c_0_45, plain, ![X5:int, X4:int]:((fminus_minus_int @ (fplus_plus_int @ X4 @ X5) @ X5)=(X4)|~p228), inference(split_conjunct,[status(thm)],[c_0_33])).
% 16.44/16.55 thf(c_0_46, plain, p228, inference(split_conjunct,[status(thm)],[ax251])).
% 16.44/16.55 thf(c_0_47, plain, ![X4:int]:((fplus_plus_int @ fzero_zero_int @ X4)=(X4)|~p87), inference(split_conjunct,[status(thm)],[c_0_34])).
% 16.44/16.55 thf(c_0_48, plain, p87, inference(split_conjunct,[status(thm)],[ax392])).
% 16.44/16.55 thf(c_0_49, plain, (~p80|(fpls)=(fzero_zero_int)), inference(fof_nnf,[status(thm)],[pax80])).
% 16.44/16.55 thf(c_0_50, plain, ![X1064:int]:(~p103|(fbit1 @ X1064)=(fplus_plus_int @ (fplus_plus_int @ fone_one_int @ X1064) @ X1064)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax103])])])).
% 16.44/16.55 thf(c_0_51, plain, ![X5:int, X4:int]:((fplus_plus_int @ X4 @ X5)=(fplus_plus_int @ X5 @ X4)|~p51), inference(split_conjunct,[status(thm)],[c_0_35])).
% 16.44/16.55 thf(c_0_52, plain, p51, inference(split_conjunct,[status(thm)],[ax428])).
% 16.44/16.55 thf(c_0_53, plain, ![X1104:int]:(~p86|(fplus_plus_int @ X1104 @ fzero_zero_int)=(X1104)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax86])])])).
% 16.44/16.55 thf(c_0_54, plain, ![X1106:int]:(~p85|(fbit0 @ X1106)=(fplus_plus_int @ X1106 @ X1106)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax85])])])).
% 16.44/16.55 thf(c_0_55, plain, (~p473|~p469|p470), inference(fof_simplification,[status(thm)],[ax6])).
% 16.44/16.55 thf(c_0_56, plain, (p473|~p472), inference(split_conjunct,[status(thm)],[c_0_36])).
% 16.44/16.55 thf(c_0_57, plain, p472, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 16.44/16.55 thf(c_0_58, plain, ![X4:int, X5:int]:(~fzcong @ X4 @ fzero_zero_int @ X5|~ford_less_int @ fzero_zero_int @ X4|~ford_less_int @ X4 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 16.44/16.55 thf(c_0_59, plain, ![X4:int, X5:int]:fzcong @ X4 @ X5 @ fone_one_int, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 16.44/16.55 thf(c_0_60, plain, (ford_less_int @ fzero_zero_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn))|~p1), inference(split_conjunct,[status(thm)],[c_0_43])).
% 16.44/16.55 thf(c_0_61, plain, p1, inference(split_conjunct,[status(thm)],[ax478])).
% 16.44/16.55 thf(c_0_62, plain, ![X4:int, X5:int]:(ford_less_int @ X4 @ X5|~p439|~ford_less_eq_int @ X4 @ (fminus_minus_int @ X5 @ fone_one_int)), inference(split_conjunct,[status(thm)],[c_0_44])).
% 16.44/16.55 thf(c_0_63, plain, p439, inference(split_conjunct,[status(thm)],[ax40])).
% 16.44/16.55 thf(c_0_64, plain, ![X5:int, X4:int]:(fminus_minus_int @ (fplus_plus_int @ X4 @ X5) @ X5)=(X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 16.44/16.55 thf(c_0_65, plain, ![X4:int]:(fplus_plus_int @ fzero_zero_int @ X4)=(X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
% 16.44/16.55 thf(c_0_66, plain, ![X498:int]:(~p331|ford_less_eq_int @ X498 @ (fpower_power_int @ X498 @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax331])])])).
% 16.44/16.55 thf(c_0_67, plain, ((fpls)=(fzero_zero_int)|~p80), inference(split_conjunct,[status(thm)],[c_0_49])).
% 16.44/16.55 thf(c_0_68, plain, p80, inference(split_conjunct,[status(thm)],[ax399])).
% 16.44/16.55 thf(c_0_69, plain, ![X4:int]:((fbit1 @ X4)=(fplus_plus_int @ (fplus_plus_int @ fone_one_int @ X4) @ X4)|~p103), inference(split_conjunct,[status(thm)],[c_0_50])).
% 16.44/16.55 thf(c_0_70, plain, ![X5:int, X4:int]:(fplus_plus_int @ X4 @ X5)=(fplus_plus_int @ X5 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
% 16.44/16.55 thf(c_0_71, plain, p103, inference(split_conjunct,[status(thm)],[ax376])).
% 16.44/16.55 thf(c_0_72, plain, ![X4:int]:((fplus_plus_int @ X4 @ fzero_zero_int)=(X4)|~p86), inference(split_conjunct,[status(thm)],[c_0_53])).
% 16.44/16.55 thf(c_0_73, plain, p86, inference(split_conjunct,[status(thm)],[ax393])).
% 16.44/16.55 thf(c_0_74, plain, ![X4:int]:((fbit0 @ X4)=(fplus_plus_int @ X4 @ X4)|~p85), inference(split_conjunct,[status(thm)],[c_0_54])).
% 16.44/16.55 thf(c_0_75, plain, p85, inference(split_conjunct,[status(thm)],[ax394])).
% 16.44/16.55 thf(c_0_76, plain, (~p470|(fzero_zero_int)=(fpower_power_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))), inference(fof_nnf,[status(thm)],[pax470])).
% 16.44/16.55 thf(c_0_77, plain, (p470|~p473|~p469), inference(split_conjunct,[status(thm)],[c_0_55])).
% 16.44/16.55 thf(c_0_78, plain, p469, inference(split_conjunct,[status(thm)],[ax10])).
% 16.44/16.55 thf(c_0_79, plain, p473, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 16.44/16.55 thf(c_0_80, plain, ![X4:int]:(~ford_less_int @ fzero_zero_int @ X4|~ford_less_int @ X4 @ fone_one_int), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 16.44/16.55 thf(c_0_81, plain, ford_less_int @ fzero_zero_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 16.44/16.55 thf(c_0_82, plain, ![X4:int, X5:int]:(ford_less_int @ X4 @ X5|~ford_less_eq_int @ X4 @ (fminus_minus_int @ X5 @ fone_one_int)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 16.44/16.55 thf(c_0_83, plain, ![X4:int]:(fminus_minus_int @ X4 @ X4)=(fzero_zero_int), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 16.44/16.55 thf(c_0_84, plain, ![X4:int]:(ford_less_eq_int @ X4 @ (fpower_power_int @ X4 @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))|~p331), inference(split_conjunct,[status(thm)],[c_0_66])).
% 16.44/16.55 thf(c_0_85, plain, (fpls)=(fzero_zero_int), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 16.44/16.55 thf(c_0_86, plain, ![X4:int]:(fbit1 @ X4)=(fplus_plus_int @ X4 @ (fplus_plus_int @ fone_one_int @ X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70]), c_0_71])])).
% 16.44/16.55 thf(c_0_87, plain, ![X4:int]:(fplus_plus_int @ X4 @ fzero_zero_int)=(X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 16.44/16.55 thf(c_0_88, plain, ![X4:int]:(fbit0 @ X4)=(fplus_plus_int @ X4 @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
% 16.44/16.55 thf(c_0_89, plain, p331, inference(split_conjunct,[status(thm)],[ax148])).
% 16.44/16.55 thf(c_0_90, plain, ((fzero_zero_int)=(fpower_power_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ (fnumber_number_of_nat @ (fbit0 @ (fbit1 @ fpls))))|~p470), inference(split_conjunct,[status(thm)],[c_0_76])).
% 16.44/16.55 thf(c_0_91, plain, p470, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78]), c_0_79])])).
% 16.44/16.55 thf(c_0_92, plain, ~ford_less_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ fone_one_int, inference(spm,[status(thm)],[c_0_80, c_0_81])).
% 16.44/16.55 thf(c_0_93, plain, ![X4:int]:(ford_less_int @ X4 @ fone_one_int|~ford_less_eq_int @ X4 @ fzero_zero_int), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 16.44/16.55 thf(c_0_94, plain, ![X4:int]:ford_less_eq_int @ X4 @ (fpower_power_int @ X4 @ (fnumber_number_of_nat @ (fplus_plus_int @ fone_one_int @ fone_one_int))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85]), c_0_86]), c_0_87]), c_0_65]), c_0_88]), c_0_89])])).
% 16.44/16.55 thf(c_0_95, plain, (fpower_power_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ (fnumber_number_of_nat @ (fplus_plus_int @ fone_one_int @ fone_one_int)))=(fzero_zero_int), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_85]), c_0_86]), c_0_87]), c_0_65]), c_0_88]), c_0_91])])).
% 16.44/16.55 thf(c_0_96, plain, ~ford_less_eq_int @ (fplus_plus_int @ fone_one_int @ (fsemiri1621563631at_int @ fn)) @ fzero_zero_int, inference(spm,[status(thm)],[c_0_92, c_0_93])).
% 16.44/16.55 thf(c_0_97, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_96]), ['proof']).
% 16.44/16.55 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h29,h30,h29,h30,h28,h27,h26,h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0])],[])).
% 16.44/16.55 thf(fact_830_smaller_I2_J,axiom,(~((((ord_less_int @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) => (~((twoSqu919416604sum2sq @ ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n)))))))))).
% 16.44/16.55 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h29,h30,h28,h27,h26,h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h29,h30])],[fact_830_smaller_I2_J,1,h29,h30])).
% 16.44/16.55 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h27,h26,h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h29,h30])],[fact_830_smaller_I2_J,2,h29,h30])).
% 16.44/16.55 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h27,h26,h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h28]),tab_negall(eigenvar,eigen__9)],[h27,3,h28])).
% 16.44/16.55 thf(fact_839__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_061_A_I4_A,axiom,(~((![X1:int]:(![X2:int]:(~((((plus_plus_int @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ ((power_power_int @ X2) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))))).
% 16.44/16.55 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h26,h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__8)],[fact_839__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_061_A_I4_A,4,h27])).
% 16.44/16.55 thf(fact_976__096_B_Bthesis_O_A_I_B_Bt_O_As_____A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_,axiom,(~((![X1:int]:(~((((plus_plus_int @ ((power_power_int @ s) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ one_one_int) = ((times_times_int @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)) @ X1)))))))).
% 16.44/16.55 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h24,h25,h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h26]),tab_negall(eigenvar,eigen__7)],[fact_976__096_B_Bthesis_O_A_I_B_Bt_O_As_____A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_,5,h26])).
% 16.44/16.55 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h22,h23,h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h24,h25])],[h22,6,h24,h25])).
% 16.44/16.55 thf(fact_1038_s0p,axiom,(~(((~((((ord_less_eq_int @ zero_zero_int) @ s) => (~(((ord_less_int @ s) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ s) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)))))))).
% 16.44/16.55 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h21,h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h22,h23])],[fact_1038_s0p,7,h22,h23])).
% 16.44/16.55 thf(fact_1039__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4,axiom,(~((![X1:int]:(~((((zcong @ ((power_power_int @ X1) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) @ (number_number_of_int @ min)) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int)))))))).
% 16.44/16.55 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h19,h20,h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__6)],[fact_1039__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4,8,h21])).
% 16.44/16.55 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h19,h20])],[h17,9,h19,h20])).
% 16.44/16.55 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h15,h16,h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h17,h18])],[h15,10,h17,h18])).
% 16.44/16.55 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h14,h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h15,h16])],[h14,11,h15,h16])).
% 16.44/16.55 thf(fact_1083__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s,axiom,(~((![X1:int]:((~(((~((((ord_less_eq_int @ zero_zero_int) @ X1) => (~(((ord_less_int @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((![X2:int]:((~(((~((((ord_less_eq_int @ zero_zero_int) @ X2) => (~(((ord_less_int @ X2) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ X2) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (X2 = X1)))))))))).
% 16.44/16.55 thf(13,plain,$false,inference(tab_negall,[status(thm),assumptions([h12,h13,h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__5)],[fact_1083__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s,12,h14])).
% 16.44/16.55 thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h11,h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,13,h12,h13])).
% 16.44/16.55 thf(15,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,14,h10,h11])).
% 16.44/16.55 thf(fact_1085__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L,axiom,(~((![X1:int]:((~((((ord_less_eq_int @ zero_zero_int) @ X1) => (~(((ord_less_int @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))) => (~((((zcong @ s1) @ X1) @ ((plus_plus_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ m)) @ one_one_int))))))))).
% 16.44/16.55 thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h7,h8,h6,h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__4)],[fact_1085__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L,15,h9])).
% 16.44/16.55 thf(17,plain,$false,inference(tab_negimp,[status(thm),assumptions([h6,h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,16,h7,h8])).
% 16.44/16.55 thf(18,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h3,h4,h2,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__3)],[h5,17,h6])).
% 16.44/16.55 thf(fact_1153__096_B_Bthesis_O_A_I_B_Bs_Aw_O_Aw_A_061_Ay_A_N_As_A_K_A_I1_A_L_Aint_An,axiom,(~((![X1:int]:(![X2:int]:((X2 = ((minus_minus_int @ y) @ ((times_times_int @ X1) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ X2))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))))).
% 16.44/16.55 thf(19,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__2)],[fact_1153__096_B_Bthesis_O_A_I_B_Bs_Aw_O_Aw_A_061_Ay_A_N_As_A_K_A_I1_A_L_Aint_An,18,h5])).
% 16.44/16.55 thf(20,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,19,h3,h4])).
% 16.44/16.55 thf(21,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,20,h2])).
% 16.44/16.55 thf(fact_1154__096_B_Bthesis_O_A_I_B_Br_Av_O_Av_A_061_Ax_A_N_Ar_A_K_A_I1_A_L_Aint_An,axiom,(~((![X1:int]:(![X2:int]:((X2 = ((minus_minus_int @ x) @ ((times_times_int @ X1) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))) => (~(((ord_less_eq_int @ ((times_times_int @ (number_number_of_int @ (bit0 @ (bit1 @ pls)))) @ (abs_abs_int @ X2))) @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))))))))))).
% 16.44/16.55 thf(22,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_1154__096_B_Bthesis_O_A_I_B_Br_Av_O_Av_A_061_Ax_A_N_Ar_A_K_A_I1_A_L_Aint_An,21,h1])).
% 16.44/16.55 thf(0,theorem,(~((((power_power_int @ ((plus_plus_int @ one_one_int) @ (semiri1621563631at_int @ n))) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) = zero_zero_int))),inference(contra,[status(thm),contra(discharge,[h0])],[22,h0])).
% 16.44/16.55 % SZS output end Proof
%------------------------------------------------------------------------------