0.08/0.14 % Problem : Vampire---4.8_24003 : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_E %s %d THM 0.14/0.34 % Computer : n005.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Mon Jul 3 13:04:15 EDT 2023 0.19/0.34 % CPUTime : 0.19/0.50 Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003 0.19/0.50 # Version: 3.1pre001-ho 0.87/0.99 # Preprocessing class: HSLSSMSSSSLNSSA. 0.87/0.99 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.87/0.99 # Starting sh3 with 900s (5) cores 0.87/0.99 # Starting new_bool_9 with 180s (1) cores 0.87/0.99 # Starting ehoh_best8_lambda with 180s (1) cores 0.87/0.99 # Starting sh4l with 180s (1) cores 0.87/0.99 # sh3 with pid 24186 completed with status 0 0.87/0.99 # Result found by sh3 0.87/0.99 # Preprocessing class: HSLSSMSSSSLNSSA. 0.87/0.99 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.87/0.99 # Starting sh3 with 900s (5) cores 0.87/0.99 # No SInE strategy applied 0.87/0.99 # Search class: HGHSM-FSLM32-DSSFFSBN 0.87/0.99 # partial match(1): HGHSM-FSLM32-DHSFFSBN 0.87/0.99 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.87/0.99 # Starting full_lambda_3 with 415s (1) cores 0.87/0.99 # Starting sh3 with 91s (1) cores 0.87/0.99 # Starting pre_casc_4 with 123s (1) cores 0.87/0.99 # Starting lpo5_fix with 82s (1) cores 0.87/0.99 # Starting new_bool_12 with 82s (1) cores 0.87/0.99 # new_bool_12 with pid 24197 completed with status 0 0.87/0.99 # Result found by new_bool_12 0.87/0.99 # Preprocessing class: HSLSSMSSSSLNSSA. 0.87/0.99 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.87/0.99 # Starting sh3 with 900s (5) cores 0.87/0.99 # No SInE strategy applied 0.87/0.99 # Search class: HGHSM-FSLM32-DSSFFSBN 0.87/0.99 # partial match(1): HGHSM-FSLM32-DHSFFSBN 0.87/0.99 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.87/0.99 # Starting full_lambda_3 with 415s (1) cores 0.87/0.99 # Starting sh3 with 91s (1) cores 0.87/0.99 # Starting pre_casc_4 with 123s (1) cores 0.87/0.99 # Starting lpo5_fix with 82s (1) cores 0.87/0.99 # Starting new_bool_12 with 82s (1) cores 0.87/0.99 # Preprocessing time : 0.020 s 0.87/0.99 # Presaturation interreduction done 0.87/0.99 0.87/0.99 # Proof found! 0.87/0.99 # SZS status Theorem 0.87/0.99 # SZS output start CNFRefutation 0.87/0.99 thf(decl_23, type, inverse_inverse_real: real > real). 0.87/0.99 thf(decl_30, type, minus_minus_real: real > real > real). 0.87/0.99 thf(decl_34, type, one_one_real: real). 0.87/0.99 thf(decl_36, type, plus_plus_real: real > real > real). 0.87/0.99 thf(decl_38, type, plus_plus_b: b > b > b). 0.87/0.99 thf(decl_39, type, times_times_real: real > real > real). 0.87/0.99 thf(decl_44, type, groups1199149371um_a_b: (a > b) > set_a > b). 0.87/0.99 thf(decl_50, type, if_b: $o > b > b > b). 0.87/0.99 thf(decl_56, type, real_V1035702896aleR_b: real > b > b). 0.87/0.99 thf(decl_57, type, divide_divide_real: real > real > real). 0.87/0.99 thf(decl_61, type, insert_a: a > set_a > set_a). 0.87/0.99 thf(decl_67, type, aa: a > real). 0.87/0.99 thf(decl_68, type, f: b > extended_ereal). 0.87/0.99 thf(decl_69, type, i: a). 0.87/0.99 thf(decl_71, type, sa: set_a). 0.87/0.99 thf(decl_72, type, y: a > b). 0.87/0.99 thf(decl_200, type, esk122_3: (a > b) > (a > b) > a > a > b). 0.87/0.99 thf(decl_220, type, esk137_0: a > b). 0.87/0.99 thf(decl_221, type, esk138_0: a > b). 0.87/0.99 thf(decl_262, type, esk163_2: (a > b) > real > a > b). 0.87/0.99 thf(decl_269, type, esk167_0: a > b). 0.87/0.99 thf(decl_275, type, esk173_0: a). 0.87/0.99 thf(decl_313, type, esk211_2: real > real > real). 0.87/0.99 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, ((f @ (plus_plus_b @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', 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)). 0.87/0.99 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, ((f @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ (insert_a @ i @ sa)))=(f @ (plus_plus_b @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', 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)). 0.87/0.99 thf(conj_0, conjecture, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (times_times_real @ (aa @ X136) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (y @ X136))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', conj_0)). 0.87/0.99 thf(fact_297_add_Ocommute, axiom, ((plus_plus_b)=(^[X318:b, X319:b]:(plus_plus_b @ X319 @ X318))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_297_add_Ocommute)). 0.87/0.99 thf(fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062, axiom, ((groups1199149371um_a_b @ (^[X2:a]:(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X2) @ (y @ X2)))) @ sa)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ (^[X136:a]:(real_V1035702896aleR_b @ (aa @ X136) @ (y @ X136))) @ sa))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062)). 0.87/0.99 thf(fact_150_inverse__eq__divide, axiom, ((inverse_inverse_real)=(divide_divide_real @ one_one_real)), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_150_inverse__eq__divide)). 0.87/0.99 thf(fact_13_scaleR__scaleR, axiom, ![X516:real, X13:real, X7:b]:(((real_V1035702896aleR_b @ X516 @ (real_V1035702896aleR_b @ X13 @ X7))=(real_V1035702896aleR_b @ (times_times_real @ X516 @ X13) @ X7))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_13_scaleR__scaleR)). 0.87/0.99 thf(help_If_1_1_If_001tf__b_T, axiom, ![X7:b, X8:b]:(((if_b @ (($true)) @ X7 @ X8)=(X7))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', help_If_1_1_If_001tf__b_T)). 0.87/0.99 thf(fact_298_add_Ocommute, axiom, ((plus_plus_real)=(^[X677:real, X138:real]:(plus_plus_real @ X138 @ X677))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_298_add_Ocommute)). 0.87/0.99 thf(fact_15_scaleR__one, axiom, ![X7:b]:(((real_V1035702896aleR_b @ one_one_real @ X7)=(X7))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_15_scaleR__one)). 0.87/0.99 thf(fact_276_add__left__cancel, axiom, ![X12:real, X13:real, X14:real]:((((plus_plus_real @ X12 @ X13)=(plus_plus_real @ X12 @ X14))<=>((X13)=(X14)))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_276_add__left__cancel)). 0.87/0.99 thf(fact_272_diff__add__cancel, axiom, ![X226:real, X13:real]:(((plus_plus_real @ (minus_minus_real @ X226 @ X13) @ X13)=(X226))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_272_diff__add__cancel)). 0.87/0.99 thf(fact_35_scale__left__commute, axiom, ![X442:real, X13:real, X7:b]:(((real_V1035702896aleR_b @ X442 @ (real_V1035702896aleR_b @ X13 @ X7))=(real_V1035702896aleR_b @ X13 @ (real_V1035702896aleR_b @ X442 @ X7)))), file('/export/starexec/sandbox/tmp/tmp.Fped2H30P7/Vampire---4.8_24003', fact_35_scale__left__commute)). 0.87/0.99 thf(c_0_13, plain, ((f @ (plus_plus_b @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(fof_simplification,[status(thm)],[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])). 0.87/0.99 thf(c_0_14, plain, ![X2871:a]:(((esk138_0 @ X2871)=(real_V1035702896aleR_b @ (aa @ X2871) @ (y @ X2871)))), introduced(definition)). 0.87/0.99 thf(c_0_15, plain, ((f @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ (insert_a @ i @ sa)))=(f @ (plus_plus_b @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(fof_simplification,[status(thm)],[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])). 0.87/0.99 thf(c_0_16, negated_conjecture, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))!=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (times_times_real @ (aa @ Z0) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (y @ Z0))) @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 0.87/0.99 thf(c_0_17, plain, ![X2964:a]:(((esk167_0 @ X2964)=(real_V1035702896aleR_b @ (times_times_real @ (aa @ X2964) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (y @ X2964)))), introduced(definition)). 0.87/0.99 thf(c_0_18, plain, ((f @ (plus_plus_b @ (groups1199149371um_a_b @ esk138_0 @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ esk138_0 @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13]), c_0_14]), c_0_14])). 0.87/0.99 thf(c_0_19, plain, ((f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))=(f @ (plus_plus_b @ (groups1199149371um_a_b @ esk138_0 @ sa) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15]), c_0_14]), c_0_14])). 0.87/0.99 thf(c_0_20, plain, ![X1730:b, X1731:b]:(((plus_plus_b @ X1730 @ X1731)=(plus_plus_b @ X1731 @ X1730))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_297_add_Ocommute])])). 0.87/0.99 thf(c_0_21, negated_conjecture, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ esk138_0 @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))!=(f @ (plus_plus_b @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (groups1199149371um_a_b @ esk167_0 @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16]), c_0_17]), c_0_14])). 0.87/0.99 thf(c_0_22, plain, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ esk138_0 @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(rw,[status(thm)],[c_0_18, c_0_19])). 0.87/0.99 thf(c_0_23, plain, ![X2221:b, X2222:b]:(((plus_plus_b @ X2221 @ X2222)=(plus_plus_b @ X2222 @ X2221))), inference(variable_rename,[status(thm)],[c_0_20])). 0.87/0.99 thf(c_0_24, negated_conjecture, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (groups1199149371um_a_b @ esk167_0 @ sa)) @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i))))!=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(rw,[status(thm)],[c_0_21, c_0_22])). 0.87/0.99 thf(c_0_25, plain, ![X8:b, X7:b]:(((plus_plus_b @ X7 @ X8)=(plus_plus_b @ X8 @ X7))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.87/0.99 thf(c_0_26, plain, ((groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0)))) @ sa)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ (^[Z0/* 56 */:a]:(real_V1035702896aleR_b @ (aa @ Z0) @ (y @ Z0))) @ sa))), inference(fof_simplification,[status(thm)],[fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062])). 0.87/0.99 thf(c_0_27, plain, ![X2870:a]:(((esk137_0 @ X2870)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X2870) @ (y @ X2870))))), introduced(definition)). 0.87/0.99 thf(c_0_28, plain, ((inverse_inverse_real)=(divide_divide_real @ one_one_real)), inference(split_conjunct,[status(thm)],[fact_150_inverse__eq__divide])). 0.87/0.99 thf(c_0_29, negated_conjecture, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (groups1199149371um_a_b @ esk167_0 @ sa))))!=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(rw,[status(thm)],[c_0_24, c_0_25])). 0.87/0.99 thf(c_0_30, plain, ((groups1199149371um_a_b @ esk137_0 @ sa)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ esk138_0 @ sa))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_26]), c_0_14]), c_0_27])). 0.87/0.99 thf(c_0_31, plain, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ esk138_0 @ sa))))=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(rw,[status(thm)],[c_0_22, c_0_25])). 0.87/0.99 thf(c_0_32, plain, ![X6:real]:(((inverse_inverse_real @ X6)=(divide_divide_real @ one_one_real @ X6))), inference(arg_cong,[status(thm)],[c_0_28])). 0.87/0.99 thf(c_0_33, plain, ![X2526:real, X2527:real, X2528:b]:(((real_V1035702896aleR_b @ X2526 @ (real_V1035702896aleR_b @ X2527 @ X2528))=(real_V1035702896aleR_b @ (times_times_real @ X2526 @ X2527) @ X2528))), inference(variable_rename,[status(thm)],[fact_13_scaleR__scaleR])). 0.87/0.99 thf(c_0_34, plain, ![X3229:a]:(((esk167_0 @ X3229)=(real_V1035702896aleR_b @ (times_times_real @ (aa @ X3229) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (y @ X3229)))), inference(variable_rename,[status(thm)],[])). 0.87/0.99 thf(c_0_35, plain, ![X3003:a, X3004:a, X3005:a > b, X3006:a > b]:(((((X3003)!=(X3004))|((esk122_3 @ X3006 @ X3005 @ X3004 @ X3003)=(if_b @ $true @ (X3005 @ X3003) @ (X3006 @ X3003))))&(((X3003)=(X3004))|((esk122_3 @ X3006 @ X3005 @ X3004 @ X3003)=(if_b @ $false @ (X3005 @ X3003) @ (X3006 @ X3003)))))), inference(variable_rename,[status(thm)],[inference(fool_unroll,[status(thm)],[])])). 0.87/0.99 thf(c_0_36, plain, ![X2666:b, X2667:b]:(((if_b @ (($true)) @ X2666 @ X2667)=(X2666))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001tf__b_T])). 0.87/0.99 thf(c_0_37, plain, ![X1742:real, X1743:real]:(((plus_plus_real @ X1742 @ X1743)=(plus_plus_real @ X1743 @ X1742))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_298_add_Ocommute])])). 0.87/0.99 thf(c_0_38, plain, (((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ esk138_0 @ sa)))))!=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa))))|((esk167_0)!=(esk137_0))), inference(ext_sup,[status(thm)],[c_0_29, c_0_30])). 0.87/0.99 thf(c_0_39, plain, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (times_times_real @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (divide_divide_real @ one_one_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (groups1199149371um_a_b @ esk138_0 @ sa))))=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(rw,[status(thm)],[c_0_31, c_0_32])). 0.87/0.99 thf(c_0_40, plain, ![X6:real, X9:real, X7:b]:(((real_V1035702896aleR_b @ X6 @ (real_V1035702896aleR_b @ X9 @ X7))=(real_V1035702896aleR_b @ (times_times_real @ X6 @ X9) @ X7))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.87/0.99 thf(c_0_41, plain, ![X2201:b]:(((real_V1035702896aleR_b @ one_one_real @ X2201)=(X2201))), inference(variable_rename,[status(thm)],[fact_15_scaleR__one])). 0.87/0.99 thf(c_0_42, plain, ![X3208:a, X3209:real, X3210:a > b]:(((esk163_2 @ X3210 @ X3209 @ X3208)=(real_V1035702896aleR_b @ X3209 @ (X3210 @ X3208)))), inference(variable_rename,[status(thm)],[])). 0.87/0.99 thf(c_0_43, plain, ![X1:a]:(((esk167_0 @ X1)=(real_V1035702896aleR_b @ (times_times_real @ (aa @ X1) @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i)))) @ (y @ X1)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.87/0.99 thf(c_0_44, plain, ![X1:a, X46:a > b, X45:a > b, X2:a]:((((esk122_3 @ X45 @ X46 @ X2 @ X1)=(if_b @ (($true)) @ (X46 @ X1) @ (X45 @ X1)))|((X1)!=(X2)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.87/0.99 thf(c_0_45, plain, ![X8:b, X7:b]:(((if_b @ (($true)) @ X7 @ X8)=(X7))), inference(split_conjunct,[status(thm)],[c_0_36])). 0.87/0.99 thf(c_0_46, plain, ![X1755:real, X1756:real, X1757:real]:(((((plus_plus_real @ X1755 @ X1756)!=(plus_plus_real @ X1755 @ X1757))|((X1756)=(X1757)))&(((X1756)!=(X1757))|((plus_plus_real @ X1755 @ X1756)=(plus_plus_real @ X1755 @ X1757))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_276_add__left__cancel])])). 0.87/0.99 thf(c_0_47, plain, ![X2081:real, X2082:real]:(((plus_plus_real @ (minus_minus_real @ X2081 @ X2082) @ X2082)=(X2081))), inference(variable_rename,[status(thm)],[fact_272_diff__add__cancel])). 0.87/0.99 thf(c_0_48, plain, ![X2787:real, X2788:real]:(((plus_plus_real @ X2787 @ X2788)=(plus_plus_real @ X2788 @ X2787))), inference(variable_rename,[status(thm)],[c_0_37])). 0.87/0.99 thf(c_0_49, plain, ![X3066:a]:(((esk137_0 @ X3066)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X3066) @ (y @ X3066))))), inference(variable_rename,[status(thm)],[])). 0.87/0.99 thf(c_0_50, plain, (((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (real_V1035702896aleR_b @ (divide_divide_real @ one_one_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ esk138_0 @ sa)))))!=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa))))|((esk167_0 @ esk173_0)!=(esk137_0 @ esk173_0))), inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_38]), c_0_32])). 0.87/0.99 thf(c_0_51, plain, ((f @ (plus_plus_b @ (real_V1035702896aleR_b @ (aa @ i) @ (y @ i)) @ (real_V1035702896aleR_b @ (minus_minus_real @ one_one_real @ (aa @ i)) @ (real_V1035702896aleR_b @ (divide_divide_real @ one_one_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (groups1199149371um_a_b @ esk138_0 @ sa)))))=(f @ (groups1199149371um_a_b @ esk138_0 @ (insert_a @ i @ sa)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.87/0.99 thf(c_0_52, plain, ![X7:b]:(((real_V1035702896aleR_b @ one_one_real @ X7)=(X7))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.87/0.99 thf(c_0_53, plain, ![X45:a > b, X6:real, X1:a]:(((esk163_2 @ X45 @ X6 @ X1)=(real_V1035702896aleR_b @ X6 @ (X45 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.87/0.99 thf(c_0_54, plain, ![X1:a]:(((esk167_0 @ X1)=(real_V1035702896aleR_b @ (aa @ X1) @ (real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (y @ X1))))), inference(rw,[status(thm)],[c_0_43, c_0_40])). 0.87/0.99 thf(c_0_55, plain, ![X46:a > b, X45:a > b, X1:a]:(((esk122_3 @ X45 @ X46 @ X1 @ X1)=(X46 @ X1))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])). 0.87/0.99 thf(c_0_56, plain, ![X6:real, X9:real, X10:real]:((((X9)=(X10))|((plus_plus_real @ X6 @ X9)!=(plus_plus_real @ X6 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.87/0.99 thf(c_0_57, plain, ![X9:real, X6:real]:(((plus_plus_real @ (minus_minus_real @ X6 @ X9) @ X9)=(X6))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.87/0.99 thf(c_0_58, plain, ![X9:real, X6:real]:(((plus_plus_real @ X6 @ X9)=(plus_plus_real @ X9 @ X6))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.87/0.99 thf(c_0_59, plain, ![X1:a]:(((esk137_0 @ X1)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X1) @ (y @ X1))))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.87/0.99 thf(c_0_60, plain, ((esk167_0 @ esk173_0)!=(esk137_0 @ esk173_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])). 0.87/0.99 thf(c_0_61, plain, ![X45:a > b, X1:a]:(((esk163_2 @ X45 @ one_one_real @ X1)=(X45 @ X1))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.87/0.99 thf(c_0_62, plain, ![X1:a]:(((esk122_3 @ esk137_0 @ esk167_0 @ X1 @ X1)=(real_V1035702896aleR_b @ (aa @ X1) @ (real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (y @ X1))))), inference(rw,[status(thm)],[c_0_54, c_0_55])). 0.87/0.99 thf(c_0_63, plain, ![X6:real, X9:real]:(((esk211_2 @ X6 @ (plus_plus_real @ X6 @ X9))=(X9))), inference(recognize_injectivity,[status(thm)],[c_0_56])). 0.87/0.99 thf(c_0_64, plain, ![X6:real, X9:real]:(((plus_plus_real @ X6 @ (minus_minus_real @ X9 @ X6))=(X9))), inference(rw,[status(thm)],[c_0_57, c_0_58])). 0.87/0.99 thf(c_0_65, plain, ![X1:a]:(((esk122_3 @ esk137_0 @ esk137_0 @ X1 @ X1)=(real_V1035702896aleR_b @ (inverse_inverse_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X1) @ (y @ X1))))), inference(rw,[status(thm)],[c_0_59, c_0_55])). 0.87/0.99 thf(c_0_66, plain, ![X2417:real, X2418:real, X2419:b]:(((real_V1035702896aleR_b @ X2417 @ (real_V1035702896aleR_b @ X2418 @ X2419))=(real_V1035702896aleR_b @ X2418 @ (real_V1035702896aleR_b @ X2417 @ X2419)))), inference(variable_rename,[status(thm)],[fact_35_scale__left__commute])). 0.87/0.99 thf(c_0_67, plain, ((esk163_2 @ esk167_0 @ one_one_real @ esk173_0)!=(esk163_2 @ esk137_0 @ one_one_real @ esk173_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61]), c_0_61])). 0.87/0.99 thf(c_0_68, plain, ![X45:a > b]:(((esk163_2 @ X45 @ one_one_real)=(X45))), inference(pos_ext,[status(thm)],[c_0_61])). 0.87/0.99 thf(c_0_69, plain, ![X1:a]:(((esk122_3 @ esk137_0 @ esk167_0 @ X1 @ X1)=(real_V1035702896aleR_b @ (aa @ X1) @ (real_V1035702896aleR_b @ (divide_divide_real @ one_one_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (y @ X1))))), inference(rw,[status(thm)],[c_0_62, c_0_32])). 0.87/0.99 thf(c_0_70, plain, ![X9:real, X6:real]:(((minus_minus_real @ X6 @ X9)=(esk211_2 @ X9 @ X6))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.87/0.99 thf(c_0_71, plain, ![X1:a]:(((esk122_3 @ esk137_0 @ esk137_0 @ X1 @ X1)=(real_V1035702896aleR_b @ (divide_divide_real @ one_one_real @ (minus_minus_real @ one_one_real @ (aa @ i))) @ (real_V1035702896aleR_b @ (aa @ X1) @ (y @ X1))))), inference(rw,[status(thm)],[c_0_65, c_0_32])). 0.87/0.99 thf(c_0_72, plain, ![X6:real, X9:real, X7:b]:(((real_V1035702896aleR_b @ X6 @ (real_V1035702896aleR_b @ X9 @ X7))=(real_V1035702896aleR_b @ X9 @ (real_V1035702896aleR_b @ X6 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_66])). 0.87/0.99 thf(c_0_73, plain, ($false), 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_55]), c_0_68]), c_0_69]), c_0_70]), c_0_55]), c_0_68]), c_0_71]), c_0_70]), c_0_72])]), ['proof']). 0.87/0.99 # SZS output end CNFRefutation 0.87/0.99 # Parsed axioms : 418 0.87/0.99 # Removed by relevancy pruning/SinE : 0 0.87/0.99 # Initial clauses : 965 0.87/0.99 # Removed in clause preprocessing : 82 0.87/0.99 # Initial clauses in saturation : 883 0.87/0.99 # Processed clauses : 2129 0.87/0.99 # ...of these trivial : 47 0.87/0.99 # ...subsumed : 520 0.87/0.99 # ...remaining for further processing : 1562 0.87/0.99 # Other redundant clauses eliminated : 485 0.87/0.99 # Clauses deleted for lack of memory : 0 0.87/0.99 # Backward-subsumed : 5 0.87/0.99 # Backward-rewritten : 237 0.87/0.99 # Generated clauses : 6486 0.87/0.99 # ...of the previous two non-redundant : 5768 0.87/0.99 # ...aggressively subsumed : 0 0.87/0.99 # Contextual simplify-reflections : 5 0.87/0.99 # Paramodulations : 5294 0.87/0.99 # Factorizations : 0 0.87/0.99 # NegExts : 97 0.87/0.99 # Equation resolutions : 494 0.87/0.99 # Total rewrite steps : 3705 0.87/0.99 # Propositional unsat checks : 0 0.87/0.99 # Propositional check models : 0 0.87/0.99 # Propositional check unsatisfiable : 0 0.87/0.99 # Propositional clauses : 0 0.87/0.99 # Propositional clauses after purity: 0 0.87/0.99 # Propositional unsat core size : 0 0.87/0.99 # Propositional preprocessing time : 0.000 0.87/0.99 # Propositional encoding time : 0.000 0.87/0.99 # Propositional solver time : 0.000 0.87/0.99 # Success case prop preproc time : 0.000 0.87/0.99 # Success case prop encoding time : 0.000 0.87/0.99 # Success case prop solver time : 0.000 0.87/0.99 # Current number of processed clauses : 480 0.87/0.99 # Positive orientable unit clauses : 142 0.87/0.99 # Positive unorientable unit clauses: 41 0.87/0.99 # Negative unit clauses : 26 0.87/0.99 # Non-unit-clauses : 271 0.87/0.99 # Current number of unprocessed clauses: 5232 0.87/0.99 # ...number of literals in the above : 10117 0.87/0.99 # Current number of archived formulas : 0 0.87/0.99 # Current number of archived clauses : 1012 0.87/0.99 # Clause-clause subsumption calls (NU) : 191347 0.87/0.99 # Rec. Clause-clause subsumption calls : 43468 0.87/0.99 # Non-unit clause-clause subsumptions : 403 0.87/0.99 # Unit Clause-clause subsumption calls : 32308 0.87/0.99 # Rewrite failures with RHS unbound : 0 0.87/0.99 # BW rewrite match attempts : 21620 0.87/0.99 # BW rewrite match successes : 933 0.87/0.99 # Condensation attempts : 2129 0.87/0.99 # Condensation successes : 9 0.87/0.99 # Termbank termtop insertions : 224068 0.87/0.99 0.87/0.99 # ------------------------------------------------- 0.87/0.99 # User time : 0.444 s 0.87/0.99 # System time : 0.021 s 0.87/0.99 # Total time : 0.465 s 0.87/0.99 # Maximum resident set size: 7064 pages 0.87/1.00 0.87/1.00 # ------------------------------------------------- 0.87/1.00 # User time : 2.053 s 0.87/1.00 # System time : 0.083 s 0.87/1.00 # Total time : 2.136 s 0.87/1.00 # Maximum resident set size: 2744 pages 0.87/1.00 % E---3.1 exiting 0.87/1.00 EOF