% Refutation found. Thanks to Tanya!
% SZS status Theorem for JJT06770^1
% SZS output start Proof for JJT06770^1
thf(type_def_6, type, product_prod_int_int: $tType).
thf(type_def_7, type, filter_complex: $tType).
thf(type_def_8, type, set_complex: $tType).
thf(type_def_9, type, filter_real: $tType).
thf(type_def_10, type, set_real: $tType).
thf(type_def_11, type, set_int: $tType).
thf(type_def_12, type, code_integer: $tType).
thf(type_def_13, type, word_a: $tType).
thf(type_def_14, type, complex: $tType).
thf(type_def_15, type, itself_a: $tType).
thf(type_def_16, type, real: $tType).
thf(type_def_17, type, rat: $tType).
thf(type_def_18, type, num: $tType).
thf(type_def_19, type, nat: $tType).
thf(type_def_20, type, int: $tType).
thf(type_def_21, type, >: ($tType * $tType) > $tType).
thf(func_def_22, type, archim3151403230148437115or_rat: rat > int).
thf(func_def_23, type, archim6058952711729229775r_real: real > int).
thf(func_def_24, type, bNF_re3353992411328777897_o_o_o: (($o > $o) > ($o > $o) > $o) > ($o > $o > $o) > (($o > $o) > $o) > (($o > $o) > $o) > $o).
thf(func_def_25, type, bNF_re6472675536664000681_o_o_o: ($o > $o > $o) > (($o > $o) > ($o > $o) > $o) > ($o > $o > $o) > ($o > $o > $o) > $o).
thf(func_def_26, type, bNF_rel_fun_o_o_o_o: ($o > $o > $o) > ($o > $o > $o) > ($o > $o) > ($o > $o) > $o).
thf(func_def_27, type, word_sdiv_a: word_a > word_a > word_a).
thf(func_def_28, type, word_smod_a: word_a > word_a > word_a).
thf(func_def_29, type, bit_concat_bit: nat > int > int > int).
thf(func_def_30, type, bit_ri631733984087533419it_int: nat > int > int).
thf(func_def_31, type, code_cr_integer: int > code_integer > $o).
thf(func_def_32, type, code_int_of_integer: code_integer > int).
thf(func_def_33, type, code_integer_of_int: int > code_integer).
thf(func_def_34, type, imaginary_unit: complex).
thf(func_def_35, type, has_de2339818027216006029omplex: (complex > complex) > (complex > complex) > filter_complex > $o).
thf(func_def_36, type, has_de1759254742604945161l_real: (real > real) > (real > real) > filter_real > $o).
thf(func_def_37, type, has_fi7509004344774670920omplex: (complex > complex) > complex > filter_complex > $o).
thf(func_def_38, type, has_fi5821293074295781190e_real: (real > real) > real > filter_real > $o).
thf(func_def_39, type, adjust_div: product_prod_int_int > int).
thf(func_def_40, type, eucl_rel_int: int > int > product_prod_int_int > $o).
thf(func_def_41, type, invers8013647133539491842omplex: complex > complex).
thf(func_def_42, type, inverse_inverse_real: real > real).
thf(func_def_43, type, id_int: int > int).
thf(func_def_44, type, abs_abs_int: int > int).
thf(func_def_45, type, minus_8373710615458151222nteger: code_integer > code_integer > code_integer).
thf(func_def_46, type, minus_minus_complex: complex > complex > complex).
thf(func_def_47, type, minus_minus_int: int > int > int).
thf(func_def_48, type, minus_minus_nat: nat > nat > nat).
thf(func_def_49, type, minus_minus_rat: rat > rat > rat).
thf(func_def_50, type, minus_minus_real: real > real > real).
thf(func_def_51, type, minus_minus_word_a: word_a > word_a > word_a).
thf(func_def_52, type, one_one_Code_integer: code_integer).
thf(func_def_53, type, one_one_complex: complex).
thf(func_def_54, type, one_one_int: int).
thf(func_def_55, type, one_one_nat: nat).
thf(func_def_56, type, one_one_rat: rat).
thf(func_def_57, type, one_one_real: real).
thf(func_def_58, type, one_one_word_a: word_a).
thf(func_def_59, type, plus_p5714425477246183910nteger: code_integer > code_integer > code_integer).
thf(func_def_60, type, plus_plus_complex: complex > complex > complex).
thf(func_def_61, type, plus_plus_int: int > int > int).
thf(func_def_62, type, plus_plus_nat: nat > nat > nat).
thf(func_def_63, type, plus_plus_num: num > num > num).
thf(func_def_64, type, plus_plus_rat: rat > rat > rat).
thf(func_def_65, type, plus_plus_real: real > real > real).
thf(func_def_66, type, plus_plus_word_a: word_a > word_a > word_a).
thf(func_def_67, type, sgn_sgn_int: int > int).
thf(func_def_68, type, times_3573771949741848930nteger: code_integer > code_integer > code_integer).
thf(func_def_69, type, times_times_complex: complex > complex > complex).
thf(func_def_70, type, times_times_int: int > int > int).
thf(func_def_71, type, times_times_nat: nat > nat > nat).
thf(func_def_72, type, times_times_rat: rat > rat > rat).
thf(func_def_73, type, times_times_real: real > real > real).
thf(func_def_74, type, times_times_word_a: word_a > word_a > word_a).
thf(func_def_75, type, uminus1351360451143612070nteger: code_integer > code_integer).
thf(func_def_76, type, uminus1482373934393186551omplex: complex > complex).
thf(func_def_77, type, uminus_uminus_int: int > int).
thf(func_def_78, type, uminus_uminus_rat: rat > rat).
thf(func_def_79, type, uminus_uminus_real: real > real).
thf(func_def_80, type, uminus_uminus_word_a: word_a > word_a).
thf(func_def_81, type, zero_z3403309356797280102nteger: code_integer).
thf(func_def_82, type, zero_zero_complex: complex).
thf(func_def_83, type, zero_zero_int: int).
thf(func_def_84, type, zero_zero_nat: nat).
thf(func_def_85, type, zero_zero_rat: rat).
thf(func_def_86, type, zero_zero_real: real).
thf(func_def_87, type, zero_zero_word_a: word_a).
thf(func_def_88, type, the_int: (int > $o) > int).
thf(func_def_89, type, if_Code_integer: $o > code_integer > code_integer > code_integer).
thf(func_def_90, type, if_int: $o > int > int > int).
thf(func_def_91, type, if_nat: $o > nat > nat > nat).
thf(func_def_92, type, nat2: int > nat).
thf(func_def_93, type, ring_18347121197199848620nteger: int > code_integer).
thf(func_def_94, type, ring_17405671764205052669omplex: int > complex).
thf(func_def_95, type, ring_1_of_int_int: int > int).
thf(func_def_96, type, ring_1_of_int_rat: int > rat).
thf(func_def_97, type, ring_1_of_int_real: int > real).
thf(func_def_98, type, ring_1_of_int_word_a: int > word_a).
thf(func_def_99, type, suc: nat > nat).
thf(func_def_100, type, semiri1314217659103216013at_int: nat > int).
thf(func_def_101, type, semiri5074537144036343181t_real: nat > real).
thf(func_def_102, type, bitM: num > num).
thf(func_def_103, type, neg_nu8804712462038260780nteger: code_integer > code_integer).
thf(func_def_104, type, neg_numeral_dbl_int: int > int).
thf(func_def_105, type, neg_numeral_dbl_real: real > real).
thf(func_def_106, type, neg_nu8391370241560208373word_a: word_a > word_a).
thf(func_def_107, type, neg_nu5755505904847501662nteger: num > num > code_integer).
thf(func_def_108, type, neg_nu8416839295433526191omplex: num > num > complex).
thf(func_def_109, type, neg_numeral_sub_int: num > num > int).
thf(func_def_110, type, neg_numeral_sub_real: num > num > real).
thf(func_def_111, type, neg_nu3184703246564010051word_a: num > num > word_a).
thf(func_def_112, type, bit0: num > num).
thf(func_def_113, type, bit1: num > num).
thf(func_def_114, type, one: num).
thf(func_def_115, type, numera6620942414471956472nteger: num > code_integer).
thf(func_def_116, type, numera6690914467698888265omplex: num > complex).
thf(func_def_117, type, numeral_numeral_int: num > int).
thf(func_def_118, type, numeral_numeral_nat: num > nat).
thf(func_def_119, type, numeral_numeral_rat: num > rat).
thf(func_def_120, type, numeral_numeral_real: num > real).
thf(func_def_121, type, numera6950023532285573417word_a: num > word_a).
thf(func_def_122, type, ord_le6747313008572928689nteger: code_integer > code_integer > $o).
thf(func_def_123, type, ord_less_int: int > int > $o).
thf(func_def_124, type, ord_less_nat: nat > nat > $o).
thf(func_def_125, type, ord_less_rat: rat > rat > $o).
thf(func_def_126, type, ord_less_real: real > real > $o).
thf(func_def_127, type, ord_le3102999989581377725nteger: code_integer > code_integer > $o).
thf(func_def_128, type, ord_less_eq_int: int > int > $o).
thf(func_def_129, type, ord_less_eq_nat: nat > nat > $o).
thf(func_def_130, type, ord_less_eq_rat: rat > rat > $o).
thf(func_def_131, type, ord_less_eq_real: real > real > $o).
thf(func_def_132, type, top_top_set_int: set_int).
thf(func_def_133, type, semiri3109040898260879451nteger: nat > code_integer > code_integer).
thf(func_def_134, type, semiri6471997177832827434it_int: nat > int > int).
thf(func_def_135, type, semiri6474487648341877710it_nat: nat > nat > nat).
thf(func_def_136, type, semiri7672639915787109247it_int: nat > int > int).
thf(func_def_137, type, semiri926547364185780995nteger: nat > code_integer > code_integer).
thf(func_def_138, type, semiri827130414843491538it_int: nat > int > int).
thf(func_def_139, type, semiri829620885352541814it_nat: nat > nat > nat).
thf(func_def_140, type, semiri2827623738965389406word_a: nat > word_a > word_a).
thf(func_def_141, type, semiri3600585524950199951it_int: int > nat > $o).
thf(func_def_142, type, power_8256067586552552935nteger: code_integer > nat > code_integer).
thf(func_def_143, type, power_power_complex: complex > nat > complex).
thf(func_def_144, type, power_power_int: int > nat > int).
thf(func_def_145, type, power_power_nat: nat > nat > nat).
thf(func_def_146, type, power_power_rat: rat > nat > rat).
thf(func_def_147, type, power_power_real: real > nat > real).
thf(func_def_148, type, power_power_word_a: word_a > nat > word_a).
thf(func_def_149, type, product_Pair_int_int: int > int > product_prod_int_int).
thf(func_def_150, type, product_fst_int_int: product_prod_int_int > int).
thf(func_def_151, type, product_snd_int_int: product_prod_int_int > int).
thf(func_def_152, type, type_a: itself_a).
thf(func_def_153, type, fract: int > int > rat).
thf(func_def_154, type, normalize: product_prod_int_int > product_prod_int_int).
thf(func_def_155, type, quotient_of: rat > product_prod_int_int).
thf(func_def_156, type, ratrel: product_prod_int_int > product_prod_int_int > $o).
thf(func_def_157, type, algebr932160517623751201me_int: int > int > $o).
thf(func_def_158, type, divide6298287555418463151nteger: code_integer > code_integer > code_integer).
thf(func_def_159, type, divide1717551699836669952omplex: complex > complex > complex).
thf(func_def_160, type, divide_divide_int: int > int > int).
thf(func_def_161, type, divide_divide_nat: nat > nat > nat).
thf(func_def_162, type, divide_divide_rat: rat > rat > rat).
thf(func_def_163, type, divide_divide_real: real > real > real).
thf(func_def_164, type, divide_divide_word_a: word_a > word_a > word_a).
thf(func_def_165, type, dvd_dvd_int: int > int > $o).
thf(func_def_166, type, dvd_dvd_nat: nat > nat > $o).
thf(func_def_167, type, modulo364778990260209775nteger: code_integer > code_integer > code_integer).
thf(func_def_168, type, modulo_modulo_int: int > int > int).
thf(func_def_169, type, modulo_modulo_nat: nat > nat > nat).
thf(func_def_170, type, modulo_modulo_word_a: word_a > word_a > word_a).
thf(func_def_171, type, zero_n2684676970156552555ol_int: $o > int).
thf(func_def_172, type, collect_real: (real > $o) > set_real).
thf(func_def_173, type, topolo3898190780742966766omplex: complex > set_complex > filter_complex).
thf(func_def_174, type, topolo2177554685111907308n_real: real > set_real > filter_real).
thf(func_def_175, type, tradit5879477952796560818iftr_a: word_a > nat > word_a).
thf(func_def_176, type, cos_real: real > real).
thf(func_def_177, type, log: real > real > real).
thf(func_def_178, type, pi: real).
thf(func_def_179, type, powr_real: real > real > real).
thf(func_def_180, type, sin_real: real > real).
thf(func_def_181, type, rel_o_o_o_o_o_o: (($o > $o > $o) > ($o > $o > $o) > $o) > ($o > $o > $o) > ($o > $o > $o) > $o).
thf(func_def_182, type, rel_o_o_o_o: (($o > $o) > ($o > $o) > $o) > ($o > $o) > ($o > $o) > $o).
thf(func_def_183, type, rel_o_o: ($o > $o > $o) > $o > $o > $o).
thf(func_def_184, type, bi_total_o_o: ($o > $o > $o) > $o).
thf(func_def_185, type, bi_unique_o_o: ($o > $o > $o) > $o).
thf(func_def_186, type, transfer_forall_o: ($o > $o) > $o).
thf(func_def_187, type, transfer_implies: $o > $o > $o).
thf(func_def_188, type, type_len0_len_of_a: itself_a > nat).
thf(func_def_189, type, type_d8366093980585677751er_int: (code_integer > int) > (int > code_integer) > set_int > $o).
thf(func_def_190, type, ring_11789995557769964194nteger: word_a > code_integer).
thf(func_def_191, type, ring_11336516960569492723omplex: word_a > complex).
thf(func_def_192, type, ring_1_signed_a_int: word_a > int).
thf(func_def_193, type, ring_1_signed_a_rat: word_a > rat).
thf(func_def_194, type, ring_1_signed_a_real: word_a > real).
thf(func_def_195, type, ring_12980004625821409791word_a: word_a > word_a).
thf(func_def_196, type, semiri4481403922410724874_a_int: word_a > int).
thf(func_def_197, type, signed_drop_bit_a: nat > word_a > word_a).
thf(func_def_198, type, sshiftr1_a: word_a > word_a).
thf(func_def_199, type, word_sle_a: word_a > word_a > $o).
thf(func_def_200, type, word_sless_a: word_a > word_a > $o).
thf(func_def_201, type, word_succ_a: word_a > word_a).
thf(func_def_202, type, member_real: real > set_real > $o).
thf(func_def_203, type, a: word_a).
thf(func_def_204, type, b: word_a).
thf(func_def_208, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
thf(func_def_209, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
thf(func_def_210, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
thf(func_def_211, type, vAND: $o > $o > $o).
thf(func_def_212, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
thf(func_def_213, type, vNOT: $o > $o).
thf(func_def_214, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
thf(func_def_215, type, vOR: $o > $o > $o).
thf(func_def_216, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
thf(func_def_217, type, vIMP: $o > $o > $o).
thf(func_def_218, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
thf(func_def_219, type, sK0: int > int > int > int).
thf(func_def_220, type, sK1: int > int > int).
thf(func_def_221, type, sK2: word_a > int).
thf(func_def_222, type, sK3: (int > int > $o) > int).
thf(func_def_223, type, sK4: (int > int > $o) > int).
thf(func_def_228, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
thf(f3201,plain,(
  $false),
  inference(subsumption_resolution,[],[f3200,f2193])).
thf(f2193,plain,(
  ( ! [X0 : word_a] : (((ring_1_of_int_word_a @ (ring_1_signed_a_int @ X0)) = X0)) )),
  inference(cnf_transformation,[],[f370])).
thf(f370,axiom,(
  ! [X0 : word_a] : ((ring_1_of_int_word_a @ (ring_1_signed_a_int @ X0)) = X0)),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f3200,plain,(
  (a != (ring_1_of_int_word_a @ (ring_1_signed_a_int @ a)))),
  inference(forward_demodulation,[],[f3199,f2238])).
thf(f2238,plain,(
  ( ! [X0 : int] : (((uminus_uminus_int @ (uminus_uminus_int @ X0)) = X0)) )),
  inference(cnf_transformation,[],[f1998])).
thf(f1998,plain,(
  ! [X0 : int] : ((uminus_uminus_int @ (uminus_uminus_int @ X0)) = X0)),
  inference(rectify,[],[f501])).
thf(f501,axiom,(
  ! [X3 : int] : ((uminus_uminus_int @ (uminus_uminus_int @ X3)) = X3)),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f3199,plain,(
  (a != (ring_1_of_int_word_a @ (uminus_uminus_int @ (uminus_uminus_int @ (ring_1_signed_a_int @ a)))))),
  inference(backward_demodulation,[],[f2906,f3174])).
thf(f3174,plain,(
  ( ! [X6 : int,X5 : int] : (((uminus_uminus_int @ X5) = ((plus_plus_int @ ((modulo_modulo_int @ (uminus_uminus_int @ X5)) @ X6)) @ ((times_times_int @ X6) @ ((divide_divide_int @ X5) @ (uminus_uminus_int @ X6)))))) )),
  inference(superposition,[],[f2117,f2219])).
thf(f2219,plain,(
  ( ! [X0 : int,X1 : int] : ((((divide_divide_int @ X0) @ (uminus_uminus_int @ X1)) = ((divide_divide_int @ (uminus_uminus_int @ X0)) @ X1))) )),
  inference(cnf_transformation,[],[f1988])).
thf(f1988,plain,(
  ! [X0 : int,X1 : int] : (((divide_divide_int @ X0) @ (uminus_uminus_int @ X1)) = ((divide_divide_int @ (uminus_uminus_int @ X0)) @ X1))),
  inference(rectify,[],[f141])).
thf(f141,axiom,(
  ! [X0 : int,X3 : int] : (((divide_divide_int @ X0) @ (uminus_uminus_int @ X3)) = ((divide_divide_int @ (uminus_uminus_int @ X0)) @ X3))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2117,plain,(
  ( ! [X0 : int,X1 : int] : ((((plus_plus_int @ ((modulo_modulo_int @ X0) @ X1)) @ ((times_times_int @ X1) @ ((divide_divide_int @ X0) @ X1))) = X0)) )),
  inference(cnf_transformation,[],[f1922])).
thf(f1922,plain,(
  ! [X0 : int,X1 : int] : (((plus_plus_int @ ((modulo_modulo_int @ X0) @ X1)) @ ((times_times_int @ X1) @ ((divide_divide_int @ X0) @ X1))) = X0)),
  inference(rectify,[],[f404])).
thf(f404,axiom,(
  ! [X0 : int,X3 : int] : (((plus_plus_int @ ((modulo_modulo_int @ X0) @ X3)) @ ((times_times_int @ X3) @ ((divide_divide_int @ X0) @ X3))) = X0)),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2906,plain,(
  (a != (ring_1_of_int_word_a @ (uminus_uminus_int @ ((plus_plus_int @ ((modulo_modulo_int @ (uminus_uminus_int @ (ring_1_signed_a_int @ a))) @ (ring_1_signed_a_int @ b))) @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))),
  inference(backward_demodulation,[],[f2866,f2885])).
thf(f2885,plain,(
  ( ! [X4 : int,X3 : int] : (((uminus_uminus_int @ ((plus_plus_int @ X4) @ X3)) = (uminus_uminus_int @ ((plus_plus_int @ X3) @ X4)))) )),
  inference(superposition,[],[f2255,f2217])).
thf(f2217,plain,(
  ( ! [X0 : int,X1 : int] : (((uminus_uminus_int @ ((plus_plus_int @ X0) @ X1)) = ((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X0)))) )),
  inference(cnf_transformation,[],[f1986])).
thf(f1986,plain,(
  ! [X0 : int,X1 : int] : ((uminus_uminus_int @ ((plus_plus_int @ X0) @ X1)) = ((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X0)))),
  inference(rectify,[],[f773])).
thf(f773,axiom,(
  ! [X0 : int,X3 : int] : ((uminus_uminus_int @ ((plus_plus_int @ X0) @ X3)) = ((plus_plus_int @ (uminus_uminus_int @ X3)) @ (uminus_uminus_int @ X0)))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2255,plain,(
  ( ! [X2 : int,X1 : int] : ((((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X2)) = (uminus_uminus_int @ ((plus_plus_int @ X1) @ X2)))) )),
  inference(equality_resolution,[],[f2206])).
thf(f2206,plain,(
  ( ! [X2 : int,X0 : int,X1 : int] : (((uminus_uminus_int @ X0) = ((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X2))) | (((plus_plus_int @ X1) @ X2) != X0)) )),
  inference(cnf_transformation,[],[f2065])).
thf(f2065,plain,(
  ! [X0 : int,X1 : int,X2 : int] : (((uminus_uminus_int @ X0) = ((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X2))) | (((plus_plus_int @ X1) @ X2) != X0))),
  inference(ennf_transformation,[],[f1978])).
thf(f1978,plain,(
  ! [X0 : int,X1 : int,X2 : int] : ((((plus_plus_int @ X1) @ X2) = X0) => ((uminus_uminus_int @ X0) = ((plus_plus_int @ (uminus_uminus_int @ X1)) @ (uminus_uminus_int @ X2))))),
  inference(rectify,[],[f534])).
thf(f534,axiom,(
  ! [X17 : int,X20 : int,X0 : int] : ((((plus_plus_int @ X20) @ X0) = X17) => ((uminus_uminus_int @ X17) = ((plus_plus_int @ (uminus_uminus_int @ X20)) @ (uminus_uminus_int @ X0))))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2866,plain,(
  (a != (ring_1_of_int_word_a @ (uminus_uminus_int @ ((plus_plus_int @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))) @ ((modulo_modulo_int @ (uminus_uminus_int @ (ring_1_signed_a_int @ a))) @ (ring_1_signed_a_int @ b))))))),
  inference(backward_demodulation,[],[f2375,f2844])).
thf(f2844,plain,(
  ( ! [X4 : int,X5 : int,X3 : int] : (((uminus_uminus_int @ ((plus_plus_int @ X5) @ ((modulo_modulo_int @ (uminus_uminus_int @ X3)) @ X4))) = ((plus_plus_int @ ((modulo_modulo_int @ X3) @ (uminus_uminus_int @ X4))) @ (uminus_uminus_int @ X5)))) )),
  inference(superposition,[],[f2217,f2215])).
thf(f2215,plain,(
  ( ! [X0 : int,X1 : int] : ((((modulo_modulo_int @ X0) @ (uminus_uminus_int @ X1)) = (uminus_uminus_int @ ((modulo_modulo_int @ (uminus_uminus_int @ X0)) @ X1)))) )),
  inference(cnf_transformation,[],[f1984])).
thf(f1984,plain,(
  ! [X0 : int,X1 : int] : (((modulo_modulo_int @ X0) @ (uminus_uminus_int @ X1)) = (uminus_uminus_int @ ((modulo_modulo_int @ (uminus_uminus_int @ X0)) @ X1)))),
  inference(rectify,[],[f253])).
thf(f253,axiom,(
  ! [X0 : int,X3 : int] : (((modulo_modulo_int @ X0) @ (uminus_uminus_int @ X3)) = (uminus_uminus_int @ ((modulo_modulo_int @ (uminus_uminus_int @ X0)) @ X3)))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2375,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))),
  inference(backward_demodulation,[],[f2374,f2238])).
thf(f2374,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ (uminus_uminus_int @ (uminus_uminus_int @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))))),
  inference(forward_demodulation,[],[f2373,f2372])).
thf(f2372,plain,(
  ( ! [X0 : int,X1 : int] : ((((times_times_int @ X0) @ (uminus_uminus_int @ X1)) = (uminus_uminus_int @ ((times_times_int @ X0) @ X1)))) )),
  inference(backward_demodulation,[],[f2220,f2221])).
thf(f2221,plain,(
  ( ! [X0 : int,X1 : int] : ((((times_times_int @ (uminus_uminus_int @ X0)) @ X1) = (uminus_uminus_int @ ((times_times_int @ X0) @ X1)))) )),
  inference(cnf_transformation,[],[f1990])).
thf(f1990,plain,(
  ! [X0 : int,X1 : int] : (((times_times_int @ (uminus_uminus_int @ X0)) @ X1) = (uminus_uminus_int @ ((times_times_int @ X0) @ X1)))),
  inference(rectify,[],[f256])).
thf(f256,axiom,(
  ! [X0 : int,X3 : int] : ((uminus_uminus_int @ ((times_times_int @ X0) @ X3)) = ((times_times_int @ (uminus_uminus_int @ X0)) @ X3))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2220,plain,(
  ( ! [X0 : int,X1 : int] : ((((times_times_int @ X0) @ (uminus_uminus_int @ X1)) = ((times_times_int @ (uminus_uminus_int @ X0)) @ X1))) )),
  inference(cnf_transformation,[],[f1989])).
thf(f1989,plain,(
  ! [X0 : int,X1 : int] : (((times_times_int @ X0) @ (uminus_uminus_int @ X1)) = ((times_times_int @ (uminus_uminus_int @ X0)) @ X1))),
  inference(rectify,[],[f299])).
thf(f299,axiom,(
  ! [X0 : int,X3 : int] : (((times_times_int @ X0) @ (uminus_uminus_int @ X3)) = ((times_times_int @ (uminus_uminus_int @ X0)) @ X3))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
thf(f2373,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ (uminus_uminus_int @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ (uminus_uminus_int @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))))),
  inference(backward_demodulation,[],[f2371,f2372])).
thf(f2371,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ ((times_times_int @ (ring_1_signed_a_int @ b)) @ (uminus_uminus_int @ (uminus_uminus_int @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))))),
  inference(forward_demodulation,[],[f2370,f2220])).
thf(f2370,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))) @ (uminus_uminus_int @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))))))))),
  inference(backward_demodulation,[],[f2242,f2220])).
thf(f2242,plain,(
  (a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ (uminus_uminus_int @ (ring_1_signed_a_int @ b)))) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ (uminus_uminus_int @ (ring_1_signed_a_int @ b))))))))),
  inference(equality_resolution,[],[f2077])).
thf(f2077,plain,(
  ( ! [X0 : int] : ((a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ X0)) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ X0)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ X0)))))) | ((uminus_uminus_int @ (ring_1_signed_a_int @ b)) != X0)) )),
  inference(cnf_transformation,[],[f1999])).
thf(f1999,plain,(
  ! [X0 : int] : ((a != (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ X0)) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ X0)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ X0)))))) | ((uminus_uminus_int @ (ring_1_signed_a_int @ b)) != X0))),
  inference(ennf_transformation,[],[f1906])).
thf(f1906,plain,(
  ~? [X0 : int] : ((a = (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ X0)) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ X0)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ X0)))))) & ((uminus_uminus_int @ (ring_1_signed_a_int @ b)) = X0))),
  inference(rectify,[],[f1129])).
thf(f1129,negated_conjecture,(
  ~? [X9 : int] : ((a = (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ X9)) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ X9)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ X9)))))) & ((uminus_uminus_int @ (ring_1_signed_a_int @ b)) = X9))),
  inference(negated_conjecture,[],[f1128])).
thf(f1128,conjecture,(
  ? [X9 : int] : ((a = (ring_1_of_int_word_a @ ((plus_plus_int @ ((modulo_modulo_int @ (ring_1_signed_a_int @ a)) @ X9)) @ (uminus_uminus_int @ ((times_times_int @ (uminus_uminus_int @ X9)) @ ((divide_divide_int @ (ring_1_signed_a_int @ a)) @ X9)))))) & ((uminus_uminus_int @ (ring_1_signed_a_int @ b)) = X9))),
  file('/export/starexec/sandbox/benchmark/Problems/JJT06770^1.p',unknown)).
% SZS output end Proof for JJT06770^1
% ------------------------------
% Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
% Termination reason: Refutation

% Memory used [KB]: 12537
% Time elapsed: 0.106 s
% ------------------------------
% ------------------------------

98.5200000000004/13.8600000000001	EOF