0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DwEwP8A5Ft true 0.16/0.38 % Computer : n020.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1440 0.16/0.38 % WCLimit : 180 0.16/0.38 % DateTime : Mon Jul 3 11:06:16 EDT 2023 0.16/0.38 % CPUTime : 0.16/0.38 % Running portfolio for 1440 s 0.16/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.38 % Number of cores: 8 0.16/0.38 % Python version: Python 3.6.8 0.16/0.39 % Running in HO mode 0.56/0.69 % Total configuration time : 828 0.56/0.69 % Estimated wc time : 1656 0.56/0.69 % Estimated cpu time (8 cpus) : 207.0 0.58/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 38.34/5.45 % Solved by lams/15_e_short1.sh. 38.34/5.45 % done 202 iterations in 4.635s 38.34/5.45 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 38.34/5.45 % SZS output start Refutation 38.34/5.45 thf(b_type, type, b: $tType). 38.34/5.45 thf(real_type, type, real: $tType). 38.34/5.45 thf(set_a_type, type, set_a: $tType). 38.34/5.45 thf(a_type, type, a: $tType). 38.34/5.45 thf(extended_ereal_type, type, extended_ereal: $tType). 38.34/5.45 thf(f_type, type, f: b > extended_ereal). 38.34/5.45 thf(i_type, type, i: a). 38.34/5.45 thf(y_type, type, y: a > b). 38.34/5.45 thf(minus_minus_real_type, type, minus_minus_real: real > real > real). 38.34/5.45 thf(plus_plus_b_type, type, plus_plus_b: b > b > b). 38.34/5.45 thf(insert_a_type, type, insert_a: a > set_a > set_a). 38.34/5.45 thf(inverse_inverse_real_type, type, inverse_inverse_real: real > real). 38.34/5.45 thf(sa_type, type, sa: set_a). 38.34/5.45 thf(groups1199149371um_a_b_type, type, groups1199149371um_a_b: (a > b) > 38.34/5.45 set_a > b). 38.34/5.45 thf(aa_type, type, aa: a > real). 38.34/5.45 thf(groups1862963056a_real_type, type, groups1862963056a_real: (a > real) > 38.34/5.45 set_a > real). 38.34/5.45 thf(plus_plus_real_type, type, plus_plus_real: real > real > real). 38.34/5.45 thf(divide_divide_real_type, type, divide_divide_real: real > real > real). 38.34/5.45 thf(one_one_real_type, type, one_one_real: real). 38.34/5.45 thf(times_times_real_type, type, times_times_real: real > real > real). 38.34/5.45 thf(real_V1035702896aleR_b_type, type, real_V1035702896aleR_b: real > b > b). 38.34/5.45 thf(fact_15_scaleR__one, axiom, 38.34/5.45 (![X2:b]: ( ( real_V1035702896aleR_b @ one_one_real @ X2 ) = ( X2 ) ))). 38.34/5.45 thf(zip_derived_cl142, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : b]: 38.34/5.45 (((real_V1035702896aleR_b @ one_one_real @ Y0) = (Y0))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_15_scaleR__one])). 38.34/5.45 thf(fact_73__092_060open_062sum_Aa_As_A_P_A_I1_A_N_Aa_Ai_J_A_061_A1_092_060close_062, axiom, 38.34/5.45 (( divide_divide_real @ 38.34/5.45 ( groups1862963056a_real @ aa @ sa ) @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) = 38.34/5.45 ( one_one_real ))). 38.34/5.45 thf(zip_derived_cl310, plain, 38.34/5.45 (((divide_divide_real @ (groups1862963056a_real @ aa @ sa) @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i))) = (one_one_real))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_73__092_060open_062sum_Aa_As_A_P_A_I1_A_N_Aa_Ai_J_A_061_A1_092_060close_062])). 38.34/5.45 thf(fact_46_mult__commute__imp__mult__inverse__commute, axiom, 38.34/5.45 (![Y:real,X2:real]: 38.34/5.45 ( ( ( times_times_real @ Y @ X2 ) = ( times_times_real @ X2 @ Y ) ) => 38.34/5.45 ( ( times_times_real @ ( inverse_inverse_real @ Y ) @ X2 ) = 38.34/5.45 ( times_times_real @ X2 @ ( inverse_inverse_real @ Y ) ) ) ))). 38.34/5.45 thf(zip_derived_cl272, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((((times_times_real @ Y0 @ Y1) = 38.34/5.45 (times_times_real @ Y1 @ Y0))) => 38.34/5.45 (((times_times_real @ 38.34/5.45 (inverse_inverse_real @ Y0) @ Y1) = 38.34/5.45 (times_times_real @ Y1 @ 38.34/5.45 (inverse_inverse_real @ Y0))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_46_mult__commute__imp__mult__inverse__commute])). 38.34/5.45 thf(fact_47_scale__sum__right, axiom, 38.34/5.45 (![A:real,F:( a > b ),A2:set_a]: 38.34/5.45 ( ( real_V1035702896aleR_b @ A @ ( groups1199149371um_a_b @ F @ A2 ) ) = 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[X:a]: ( real_V1035702896aleR_b @ A @ ( F @ X ) ) ) @ A2 ) ))). 38.34/5.45 thf(zip_derived_cl349, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : a > b]: 38.34/5.45 (((!!) @ (^[Y2 : set_a]: 38.34/5.45 (((real_V1035702896aleR_b @ Y0 @ 38.34/5.45 (groups1199149371um_a_b @ Y1 @ Y2)) = 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y3 : a]: 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 Y0 @ (Y1 @ Y3))) @ 38.34/5.45 Y2))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_47_scale__sum__right])). 38.34/5.45 thf(fact_6_calculation, axiom, 38.34/5.45 (( f @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 ( insert_a @ i @ sa ) ) ) = 38.34/5.45 ( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ))). 38.34/5.45 thf(zip_derived_cl170, plain, 38.34/5.45 (((f @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ 38.34/5.45 (insert_a @ i @ sa))) 38.34/5.45 = (f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (times_times_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)) @ 38.34/5.45 (inverse_inverse_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)))) @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ 38.34/5.45 sa)) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_6_calculation])). 38.34/5.45 thf(fact_13_scaleR__scaleR, axiom, 38.34/5.45 (![A:real,B:real,X2:b]: 38.34/5.45 ( ( real_V1035702896aleR_b @ A @ ( real_V1035702896aleR_b @ B @ X2 ) ) = 38.34/5.45 ( real_V1035702896aleR_b @ ( times_times_real @ A @ B ) @ X2 ) ))). 38.34/5.45 thf(zip_derived_cl261, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((!!) @ (^[Y2 : b]: 38.34/5.45 (((real_V1035702896aleR_b @ Y0 @ 38.34/5.45 (real_V1035702896aleR_b @ Y1 @ Y2)) = 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (times_times_real @ Y0 @ Y1) @ 38.34/5.45 Y2))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_13_scaleR__scaleR])). 38.34/5.45 thf(fact_348_lambda__one, axiom, 38.34/5.45 (( ^[X:real]: ( X ) ) = ( times_times_real @ one_one_real ))). 38.34/5.45 thf(zip_derived_cl354, plain, 38.34/5.45 ((((^[Y0 : real]: (Y0))) = (times_times_real @ one_one_real))), 38.34/5.45 inference('cnf', [status(esa)], [fact_348_lambda__one])). 38.34/5.45 thf(fact_290_ab__semigroup__mult__class_Omult__ac_I1_J, axiom, 38.34/5.45 (![A:real,B:real,C:real]: 38.34/5.45 ( ( times_times_real @ ( times_times_real @ A @ B ) @ C ) = 38.34/5.45 ( times_times_real @ A @ ( times_times_real @ B @ C ) ) ))). 38.34/5.45 thf(zip_derived_cl222, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((!!) @ (^[Y2 : real]: 38.34/5.45 (((times_times_real @ 38.34/5.45 (times_times_real @ Y0 @ Y1) @ 38.34/5.45 Y2) = (times_times_real @ Y0 @ 38.34/5.45 (times_times_real @ Y1 @ Y2)))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_290_ab__semigroup__mult__class_Omult__ac_I1_J])). 38.34/5.45 thf(fact_304_add_Oassoc, axiom, 38.34/5.45 (![A:real,B:real,C:real]: 38.34/5.45 ( ( plus_plus_real @ ( plus_plus_real @ A @ B ) @ C ) = 38.34/5.45 ( plus_plus_real @ A @ ( plus_plus_real @ B @ C ) ) ))). 38.34/5.45 thf(zip_derived_cl75, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((!!) @ (^[Y2 : real]: 38.34/5.45 (((plus_plus_real @ 38.34/5.45 (plus_plus_real @ Y0 @ Y1) @ 38.34/5.45 Y2) = (plus_plus_real @ Y0 @ 38.34/5.45 (plus_plus_real @ Y1 @ Y2)))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_304_add_Oassoc])). 38.34/5.45 thf(fact_310_ab__semigroup__add__class_Oadd__ac_I1_J, axiom, 38.34/5.45 (![A:b,B:b,C:b]: 38.34/5.45 ( ( plus_plus_b @ ( plus_plus_b @ A @ B ) @ C ) = 38.34/5.45 ( plus_plus_b @ A @ ( plus_plus_b @ B @ C ) ) ))). 38.34/5.45 thf(zip_derived_cl347, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : b]: 38.34/5.45 (((!!) @ (^[Y1 : b]: 38.34/5.45 (((!!) @ (^[Y2 : b]: 38.34/5.45 (((plus_plus_b @ 38.34/5.45 (plus_plus_b @ Y0 @ Y1) @ Y2) = 38.34/5.45 (plus_plus_b @ Y0 @ 38.34/5.45 (plus_plus_b @ Y1 @ Y2)))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_310_ab__semigroup__add__class_Oadd__ac_I1_J])). 38.34/5.45 thf(fact_150_inverse__eq__divide, axiom, 38.34/5.45 (( inverse_inverse_real ) = ( divide_divide_real @ one_one_real ))). 38.34/5.45 thf(zip_derived_cl97, plain, 38.34/5.45 (((inverse_inverse_real) = (divide_divide_real @ one_one_real))), 38.34/5.45 inference('cnf', [status(esa)], [fact_150_inverse__eq__divide])). 38.34/5.45 thf(fact_17__092_060open_062sum_Aa_As_A_061_A1_A_N_Aa_Ai_092_060close_062, axiom, 38.34/5.45 (( groups1862963056a_real @ aa @ sa ) = 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ))). 38.34/5.45 thf(zip_derived_cl239, plain, 38.34/5.45 (((groups1862963056a_real @ aa @ sa) 38.34/5.45 = (minus_minus_real @ one_one_real @ (aa @ i)))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_17__092_060open_062sum_Aa_As_A_061_A1_A_N_Aa_Ai_092_060close_062])). 38.34/5.45 thf(fact_7__092_060open_062f_A_I_092_060Sum_062j_092_060in_062insert_Ai_As_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_061_Af_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062, axiom, 38.34/5.45 (( f @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 ( insert_a @ i @ sa ) ) ) = 38.34/5.45 ( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ sa ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ))). 38.34/5.45 thf(zip_derived_cl271, plain, 38.34/5.45 (((f @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ 38.34/5.45 (insert_a @ i @ sa))) 38.34/5.45 = (f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ sa) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_7__092_060open_062f_A_I_092_060Sum_062j_092_060in_062insert_Ai_As_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_061_Af_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062])). 38.34/5.45 thf(fact_5__092_060open_062f_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_A_061_Af_A_I_I_I1_A_N_Aa_Ai_J_A_K_Ainverse_A_I1_A_N_Aa_Ai_J_J_A_K_092_060_094sub_062R_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062, axiom, 38.34/5.45 (( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ sa ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) = 38.34/5.45 ( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ))). 38.34/5.45 thf(zip_derived_cl331, plain, 38.34/5.45 (((f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ sa) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))) 38.34/5.45 = (f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (times_times_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)) @ 38.34/5.45 (inverse_inverse_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)))) @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ 38.34/5.45 sa)) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_5__092_060open_062f_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_A_061_Af_A_I_I_I1_A_N_Aa_Ai_J_A_K_Ainverse_A_I1_A_N_Aa_Ai_J_J_A_K_092_060_094sub_062R_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062])). 38.34/5.45 thf(conj_0, conjecture, 38.34/5.45 (( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) = 38.34/5.45 ( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( aa @ J ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ))). 38.34/5.45 thf(zf_stmt_0, negated_conjecture, 38.34/5.45 (( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) != 38.34/5.45 ( f @ 38.34/5.45 ( plus_plus_b @ 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ 38.34/5.45 ( groups1199149371um_a_b @ 38.34/5.45 ( ^[J:a]: 38.34/5.45 ( real_V1035702896aleR_b @ 38.34/5.45 ( times_times_real @ 38.34/5.45 ( aa @ J ) @ 38.34/5.45 ( inverse_inverse_real @ 38.34/5.45 ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ 38.34/5.45 ( y @ J ) ) ) @ 38.34/5.45 sa ) ) @ 38.34/5.45 ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )), 38.34/5.45 inference('cnf.neg', [status(esa)], [conj_0])). 38.34/5.45 thf(zip_derived_cl348, plain, 38.34/5.45 (((f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ 38.34/5.45 (inverse_inverse_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)))) @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: (real_V1035702896aleR_b @ (aa @ Y0) @ (y @ Y0))) @ sa)) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))) 38.34/5.45 != (f @ 38.34/5.45 (plus_plus_b @ 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)) @ 38.34/5.45 (groups1199149371um_a_b @ 38.34/5.45 (^[Y0 : a]: 38.34/5.45 (real_V1035702896aleR_b @ 38.34/5.45 (times_times_real @ (aa @ Y0) @ 38.34/5.45 (inverse_inverse_real @ 38.34/5.45 (minus_minus_real @ one_one_real @ (aa @ i)))) @ 38.34/5.45 (y @ Y0))) @ 38.34/5.45 sa)) @ 38.34/5.45 (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)))))), 38.34/5.45 inference('cnf', [status(esa)], [zf_stmt_0])). 38.34/5.45 thf(fact_288_mult_Ocommute, axiom, 38.34/5.45 (( times_times_real ) = 38.34/5.45 ( ^[A3:real,B4:real]: ( times_times_real @ B4 @ A3 ) ))). 38.34/5.45 thf(zip_derived_cl302, plain, 38.34/5.45 (((times_times_real) 38.34/5.45 = ((^[Y0 : real,Y1 : real]: (times_times_real @ Y1 @ Y0))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_288_mult_Ocommute])). 38.34/5.45 thf(fact_298_add_Ocommute, axiom, 38.34/5.45 (( plus_plus_real ) = ( ^[A3:real,B4:real]: ( plus_plus_real @ B4 @ A3 ) ))). 38.34/5.45 thf(zip_derived_cl346, plain, 38.34/5.45 (((plus_plus_real) 38.34/5.45 = ((^[Y0 : real,Y1 : real]: (plus_plus_real @ Y1 @ Y0))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_298_add_Ocommute])). 38.34/5.45 thf(fact_297_add_Ocommute, axiom, 38.34/5.45 (( plus_plus_b ) = ( ^[A3:b,B4:b]: ( plus_plus_b @ B4 @ A3 ) ))). 38.34/5.45 thf(zip_derived_cl150, plain, 38.34/5.45 (((plus_plus_b) = ((^[Y0 : b,Y1 : b]: (plus_plus_b @ Y1 @ Y0))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_297_add_Ocommute])). 38.34/5.45 thf(fact_149_divide__inverse__commute, axiom, 38.34/5.45 (( divide_divide_real ) = 38.34/5.45 ( ^[A3:real,B4:real]: 38.34/5.45 ( times_times_real @ ( inverse_inverse_real @ B4 ) @ A3 ) ))). 38.34/5.45 thf(zip_derived_cl276, plain, 38.34/5.45 (((divide_divide_real) 38.34/5.45 = ((^[Y0 : real,Y1 : real]: 38.34/5.45 (times_times_real @ (inverse_inverse_real @ Y1) @ Y0))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_149_divide__inverse__commute])). 38.34/5.45 thf(fact_277_mult_Oright__neutral, axiom, 38.34/5.45 (![A:real]: ( ( times_times_real @ A @ one_one_real ) = ( A ) ))). 38.34/5.45 thf(zip_derived_cl300, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((times_times_real @ Y0 @ one_one_real) = (Y0))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_277_mult_Oright__neutral])). 38.34/5.45 thf(fact_99_times__divide__eq__left, axiom, 38.34/5.45 (![B:real,C:real,A:real]: 38.34/5.45 ( ( times_times_real @ ( divide_divide_real @ B @ C ) @ A ) = 38.34/5.45 ( divide_divide_real @ ( times_times_real @ B @ A ) @ C ) ))). 38.34/5.45 thf(zip_derived_cl119, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((!!) @ (^[Y2 : real]: 38.34/5.45 (((times_times_real @ 38.34/5.45 (divide_divide_real @ Y0 @ Y1) @ 38.34/5.45 Y2) = (divide_divide_real @ 38.34/5.45 (times_times_real @ Y0 @ Y2) @ 38.34/5.45 Y1))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_99_times__divide__eq__left])). 38.34/5.45 thf(fact_102_times__divide__eq__right, axiom, 38.34/5.45 (![A:real,B:real,C:real]: 38.34/5.45 ( ( times_times_real @ A @ ( divide_divide_real @ B @ C ) ) = 38.34/5.45 ( divide_divide_real @ ( times_times_real @ A @ B ) @ C ) ))). 38.34/5.45 thf(zip_derived_cl249, plain, 38.34/5.45 ( (((!!) @ (^[Y0 : real]: 38.34/5.45 (((!!) @ (^[Y1 : real]: 38.34/5.45 (((!!) @ (^[Y2 : real]: 38.34/5.45 (((times_times_real @ Y0 @ 38.34/5.45 (divide_divide_real @ Y1 @ Y2)) = 38.34/5.45 (divide_divide_real @ 38.34/5.45 (times_times_real @ Y0 @ Y1) @ 38.34/5.45 Y2))))))))))))), 38.34/5.45 inference('cnf', [status(esa)], [fact_102_times__divide__eq__right])). 38.34/5.45 thf(fact_147_field__class_Ofield__divide__inverse, axiom, 38.34/5.45 (( divide_divide_real ) = 38.34/5.45 ( ^[A3:real,B4:real]: 38.34/5.45 ( times_times_real @ A3 @ ( inverse_inverse_real @ B4 ) ) ))). 38.34/5.45 thf(zip_derived_cl159, plain, 38.34/5.45 (((divide_divide_real) 38.34/5.45 = ((^[Y0 : real,Y1 : real]: 38.34/5.45 (times_times_real @ Y0 @ (inverse_inverse_real @ Y1)))))), 38.34/5.45 inference('cnf', [status(esa)], 38.34/5.45 [fact_147_field__class_Ofield__divide__inverse])). 38.34/5.45 thf(zip_derived_cl5111, plain, ($false), 38.34/5.45 inference('eprover', [status(thm)], 38.34/5.45 [zip_derived_cl142, zip_derived_cl310, zip_derived_cl272, 38.34/5.45 zip_derived_cl349, zip_derived_cl170, zip_derived_cl261, 38.34/5.45 zip_derived_cl354, zip_derived_cl222, zip_derived_cl75, 38.34/5.45 zip_derived_cl347, zip_derived_cl97, zip_derived_cl239, 38.34/5.45 zip_derived_cl271, zip_derived_cl331, zip_derived_cl348, 38.34/5.45 zip_derived_cl302, zip_derived_cl346, zip_derived_cl150, 38.34/5.45 zip_derived_cl276, zip_derived_cl300, zip_derived_cl119, 38.34/5.45 zip_derived_cl249, zip_derived_cl159])). 38.34/5.45 38.34/5.45 % SZS output end Refutation 38.34/5.45 38.34/5.45 38.34/5.45 % Terminating... 38.34/5.54 % Runner terminated. 38.34/5.55 % Zipperpin 1.5 exiting 38.34/5.55 EOF