0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.19/0.46 % Computer : n011.cluster.edu 0.19/0.46 % Model : x86_64 x86_64 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.46 % Memory : 8046.5625MB 0.19/0.46 % OS : Linux 6.8.0-71-generic 0.19/0.46 % CPULimit : 1440 0.19/0.46 % WCLimit : 180 0.19/0.46 % DateTime : Mon Jul 27 12:15:06 UTC 2026 0.19/0.47 % CPUTime : 0.19/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.25/0.54 Running higher-order theorem proving 8.14/8.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p 72.95/31.66 % Version: 3.5.1-ho 72.95/31.66 % partial match(1): HMLMSMSMSSLCHFA 72.95/31.66 % Preprocessing class: HMLMSMLMSSLCHFA. 72.95/31.66 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 72.95/31.66 % Starting new_ho_10 with 890s (5) cores 72.95/31.66 % Starting sh5l with 178s (1) cores 72.95/31.66 % Starting new_bool_1 with 178s (1) cores 72.95/31.66 % Starting new_bool_2 with 178s (1) cores 72.95/31.66 % new_bool_1 with pid 1237686 completed with status 0 72.95/31.66 % Result found by new_bool_1 72.95/31.66 % partial match(1): HMLMSMSMSSLCHFA 72.95/31.66 % Preprocessing class: HMLMSMLMSSLCHFA. 72.95/31.66 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 72.95/31.66 % Starting new_ho_10 with 890s (5) cores 72.95/31.66 % Starting sh5l with 178s (1) cores 72.95/31.66 % Starting new_bool_1 with 178s (1) cores 72.95/31.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 72.95/31.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 72.95/31.66 % Search class: HGHSM-SMLM32-DHFFFSBN 72.95/31.66 % Scheduled 5 strats onto 1 cores with 176 seconds (176 total) 72.95/31.66 % Starting SubtermCWHack with 18s (1) cores 72.95/31.66 % SubtermCWHack with pid 1237688 completed with status 8 72.95/31.66 % Starting new_ho_10 with 106s (1) cores 72.95/31.66 % new_ho_10 with pid 1237690 completed with status 0 72.95/31.66 % Result found by new_ho_10 72.95/31.66 % partial match(1): HMLMSMSMSSLCHFA 72.95/31.66 % Preprocessing class: HMLMSMLMSSLCHFA. 72.95/31.66 % Scheduled 4 strats onto 8 cores with 178 seconds (1424 total) 72.95/31.66 % Starting new_ho_10 with 890s (5) cores 72.95/31.66 % Starting sh5l with 178s (1) cores 72.95/31.66 % Starting new_bool_1 with 178s (1) cores 72.95/31.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 72.95/31.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 72.95/31.66 % Search class: HGHSM-SMLM32-DHFFFSBN 72.95/31.66 % Scheduled 5 strats onto 1 cores with 176 seconds (176 total) 72.95/31.66 % Starting SubtermCWHack with 18s (1) cores 72.95/31.66 % SubtermCWHack with pid 1237688 completed with status 8 72.95/31.66 % Starting new_ho_10 with 106s (1) cores 72.95/31.66 % Preprocessing time : 0.405 s 72.95/31.66 % Presaturation interreduction done 72.95/31.66 72.95/31.66 % Proof found! 72.95/31.66 % SZS status Theorem 72.95/31.66 % SZS output start CNFRefutation 72.95/31.66 thf(decl_sort1, type, nat: $tType). 72.95/31.66 thf(decl_sort2, type, num: $tType). 72.95/31.66 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 72.95/31.66 thf(decl_sort4, type, option_nat: $tType). 72.95/31.66 thf(decl_sort5, type, vEBT_VEBT: $tType). 72.95/31.66 thf(decl_205, type, one_one_nat: nat). 72.95/31.66 thf(decl_211, type, plus_plus_nat: nat > nat > nat). 72.95/31.66 thf(decl_221, type, times_times_nat: nat > nat > nat). 72.95/31.66 thf(decl_305, type, if_nat: $o > nat > nat > nat). 72.95/31.66 thf(decl_366, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 72.95/31.66 thf(decl_385, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 72.95/31.66 thf(decl_413, type, suc: nat > nat). 72.95/31.66 thf(decl_481, type, bit0: num > num). 72.95/31.66 thf(decl_483, type, one: num). 72.95/31.66 thf(decl_491, type, numeral_numeral_nat: num > nat). 72.95/31.66 thf(decl_510, type, the_nat: option_nat > nat). 72.95/31.66 thf(decl_530, type, ord_less_nat: nat > nat > $o). 72.95/31.66 thf(decl_551, type, ord_less_eq_nat: nat > nat > $o). 72.95/31.66 thf(decl_593, type, power_power_nat: nat > nat > nat). 72.95/31.66 thf(decl_675, type, divide_divide_nat: nat > nat > nat). 72.95/31.66 thf(decl_831, type, vEBT_VEBT_high: nat > nat > nat). 72.95/31.66 thf(decl_833, type, vEBT_VEBT_low: nat > nat > nat). 72.95/31.66 thf(decl_844, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 72.95/31.66 thf(decl_865, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 72.95/31.66 thf(decl_899, type, deg: nat). 72.95/31.66 thf(decl_900, type, lx: nat). 72.95/31.66 thf(decl_902, type, ma: nat). 72.95/31.66 thf(decl_904, type, na: nat). 72.95/31.66 thf(decl_906, type, summin: nat). 72.95/31.66 thf(decl_907, type, treeList: list_VEBT_VEBT). 72.95/31.66 thf(help_If_2_1_If_001t__Nat__Onat_T, axiom, ![X14942:nat, X14943:nat]:(((if_nat @ (~($true)) @ X14942 @ X14943)=(X14943))), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', help_If_2_1_If_001t__Nat__Onat_T)). 72.95/31.66 thf(conj_0, conjecture, (ord_less_nat @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', conj_0)). 72.95/31.66 thf(fact_21__C114_C, axiom, ((ord_less_nat @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))&(ord_less_eq_nat @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma))), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', fact_21__C114_C)). 72.95/31.66 thf(fact_6__C9_C, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', fact_6__C9_C)). 72.95/31.66 thf(fact_561_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', fact_561_Suc__1)). 72.95/31.66 thf(fact_16_hprolist, axiom, ((nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))=(vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', fact_16_hprolist)). 72.95/31.66 thf(help_If_1_1_If_001t__Nat__Onat_T, axiom, ![X8589:nat, X8590:nat]:(((if_nat @ (($true)) @ X8589 @ X8590)=(X8589))), file('/export/starexec/sandbox2/tmp/tmp.X3LtgU9uMO/E---3.1_1237671.p', help_If_1_1_If_001t__Nat__Onat_T)). 72.95/31.66 thf(c_0_7, axiom, ![X14942:nat, X14943:nat]:(((~(~($true))|((if_nat @ $true @ X14942 @ X14943)=(X14943)))&(~($true)|((if_nat @ $false @ X14942 @ X14943)=(X14943))))), inference(fool_unroll,[status(thm)],[help_If_2_1_If_001t__Nat__Onat_T])). 72.95/31.66 thf(c_0_8, negated_conjecture, ~((ord_less_nat @ (if_nat @ (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))), inference(assume_negation,[status(cth)],[conj_0])). 72.95/31.66 thf(c_0_9, axiom, (((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|(ord_less_nat @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))&(((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))&((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|(ord_less_eq_nat @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma)))&(((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_eq_nat @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma))))), inference(fool_unroll,[status(thm)],[fact_21__C114_C])). 72.95/31.66 thf(c_0_10, plain, ![X27883:nat, X27884:nat]:(((($true)|((if_nat @ $true @ X27883 @ X27884)=(X27884)))&(~($true)|((if_nat @ $false @ X27883 @ X27884)=(X27884))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 72.95/31.66 thf(c_0_11, negated_conjecture, ~(((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|(ord_less_nat @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))&(((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))), inference(fool_unroll,[status(thm)],[c_0_8])). 72.95/31.66 thf(c_0_12, plain, (((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|(ord_less_nat @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))&(((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))&((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|(ord_less_eq_nat @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma)))&(((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_eq_nat @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma))))), inference(fof_nnf,[status(thm)],[c_0_9])). 72.95/31.66 thf(c_0_13, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_6__C9_C])). 72.95/31.66 thf(c_0_14, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_561_Suc__1])). 72.95/31.66 thf(c_0_15, plain, ((nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))=(vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))), inference(split_conjunct,[status(thm)],[fact_16_hprolist])). 72.95/31.66 thf(c_0_16, plain, ![X11:nat, X12:nat]:((((if_nat @ (~($true)) @ X11 @ X12)=(X12))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_10])). 72.95/31.66 thf(c_0_17, negated_conjecture, (((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma)))&(~(ord_less_nat @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))|((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))))&((((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|~(ord_less_nat @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))&(~(ord_less_nat @ (if_nat @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))|~(ord_less_nat @ (if_nat @ $true @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 72.95/31.66 thf(c_0_18, plain, ![X27870:nat, X27871:nat]:(((if_nat @ $true @ X27870 @ X27871)=(X27870))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001t__Nat__Onat_T])). 72.95/31.66 thf(c_0_19, plain, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ (~($true)) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))), inference(split_conjunct,[status(thm)],[c_0_12])). 72.95/31.66 thf(c_0_20, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_13, c_0_14])). 72.95/31.66 thf(c_0_21, plain, ((nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))=(vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))), 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_15, c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_14])). 72.95/31.66 thf(c_0_22, plain, ![X11:nat, X12:nat]:(((if_nat @ (~($true)) @ X11 @ X12)=(X12))), inference(cn,[status(thm)],[c_0_16])). 72.95/31.66 thf(c_0_23, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|~((ord_less_nat @ (if_nat @ (($true)) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))), inference(split_conjunct,[status(thm)],[c_0_17])). 72.95/31.66 thf(c_0_24, plain, ![X12:nat, X11:nat]:(((if_nat @ (($true)) @ X11 @ X12)=(X11))), inference(split_conjunct,[status(thm)],[c_0_18])). 72.95/31.66 thf(c_0_25, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|~((ord_less_nat @ (if_nat @ (~($true)) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg)))), inference(split_conjunct,[status(thm)],[c_0_17])). 72.95/31.66 thf(c_0_26, plain, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx)=(ma))|(ord_less_nat @ ma @ (power_power_nat @ (suc @ one_one_nat) @ deg))), 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_20]), c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_21]), c_0_22]), c_0_14])). 72.95/31.66 thf(c_0_27, plain, ((ord_less_nat @ (if_nat @ (($true)) @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))|((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))), inference(split_conjunct,[status(thm)],[c_0_12])). 72.95/31.66 thf(c_0_28, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx)!=(ma))|~((ord_less_nat @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na) @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))))) @ (power_power_nat @ (suc @ one_one_nat) @ deg)))), 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_20]), c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_24]), c_0_14])). 72.95/31.66 thf(c_0_29, negated_conjecture, ((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx)=(ma)), inference(csr,[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_20]), c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_21]), c_0_22]), c_0_14]), c_0_26])). 72.95/31.66 thf(c_0_30, plain, ((ord_less_nat @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na) @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx) @ na))))) @ (power_power_nat @ (suc @ one_one_nat) @ deg))|((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ lx)!=(ma))), 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_14]), c_0_14]), c_0_14]), c_0_20]), c_0_14]), c_0_14]), c_0_14]), c_0_14]), c_0_21]), c_0_24]), c_0_14]), c_0_14])). 72.95/31.66 thf(c_0_31, negated_conjecture, ~((ord_less_nat @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ ma @ na) @ (power_power_nat @ (suc @ one_one_nat) @ na)) @ (the_nat @ (vEBT_vebt_maxt @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ ma @ na)) @ (vEBT_VEBT_low @ ma @ na))))) @ (power_power_nat @ (suc @ one_one_nat) @ deg))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_29]), c_0_21]), c_0_29]), c_0_29])])). 72.95/31.66 thf(c_0_32, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_29]), c_0_29]), c_0_29]), c_0_29])]), c_0_31]), ['proof']). 72.95/31.66 % SZS output end CNFRefutation 72.95/31.66 % Parsed axioms : 11234 72.95/31.66 % Removed by relevancy pruning/SinE : 6756 72.95/31.66 % Initial clauses : 11373 72.95/31.66 % Removed in clause preprocessing : 2674 72.95/31.66 % Initial clauses in saturation : 8699 72.95/31.66 % Processed clauses : 1861 72.95/31.66 % ...of these trivial : 173 72.95/31.66 % ...subsumed : 331 72.95/31.66 % ...remaining for further processing : 1356 72.95/31.66 % Other redundant clauses eliminated : 278 72.95/31.66 % Clauses deleted for lack of memory : 0 72.95/31.66 % Backward-subsumed : 11 72.95/31.66 % Backward-rewritten : 43 72.95/31.66 % Generated clauses : 265 72.95/31.66 % ...of the previous two non-redundant : 119 72.95/31.66 % ...aggressively subsumed : 0 72.95/31.66 % Contextual simplify-reflections : 1 72.95/31.66 % Paramodulations : 0 72.95/31.66 % Factorizations : 0 72.95/31.66 % NegExts : 0 72.95/31.66 % Equation resolutions : 278 72.95/31.66 % Disequality decompositions : 0 72.95/31.66 % Total rewrite steps : 857 72.95/31.66 % ...of those cached : 630 72.95/31.66 % Propositional unsat checks : 0 72.95/31.66 % Propositional check models : 0 72.95/31.66 % Propositional check unsatisfiable : 0 72.95/31.66 % Propositional clauses : 0 72.95/31.66 % Propositional clauses after purity: 0 72.95/31.66 % Propositional unsat core size : 0 72.95/31.66 % Propositional preprocessing time : 0.000 72.95/31.66 % Propositional encoding time : 0.000 72.95/31.66 % Propositional solver time : 0.000 72.95/31.66 % Success case prop preproc time : 0.000 72.95/31.66 % Success case prop encoding time : 0.000 72.95/31.66 % Success case prop solver time : 0.000 72.95/31.66 % Current number of processed clauses : 1037 72.95/31.66 % Positive orientable unit clauses : 479 72.95/31.66 % Positive unorientable unit clauses: 3 72.95/31.66 % Negative unit clauses : 170 72.95/31.66 % Non-unit-clauses : 385 72.95/31.66 % Current number of unprocessed clauses: 6957 72.95/31.66 % ...number of literals in the above : 28054 72.95/31.66 % Current number of archived formulas : 0 72.95/31.66 % Current number of archived clauses : 54 72.95/31.66 % Clause-clause subsumption calls (NU) : 40172 72.95/31.66 % Rec. Clause-clause subsumption calls : 23891 72.95/31.66 % Non-unit clause-clause subsumptions : 213 72.95/31.66 % Unit Clause-clause subsumption calls : 6517 72.95/31.66 % Rewrite failures with RHS unbound : 0 72.95/31.66 % BW rewrite match attempts : 298 72.95/31.66 % BW rewrite match successes : 49 72.95/31.66 % Condensation attempts : 1861 72.95/31.66 % Condensation successes : 0 72.95/31.66 % Termbank termtop insertions : 976136 72.95/31.66 % Search garbage collected termcells : 226490 72.95/31.66 72.95/31.66 % ------------------------------------------------- 72.95/31.66 % User time : 20.282 s 72.95/31.66 % System time : 0.520 s 72.95/31.66 % Total time : 20.801 s 72.95/31.66 % Maximum resident set size: 50848 pages 72.95/31.66 72.95/31.66 % ------------------------------------------------- 72.95/31.66 % User time : 22.444 s 72.95/31.66 % System time : 0.595 s 72.95/31.66 % Total time : 23.039 s 72.95/31.66 % Maximum resident set size: 29184 pages 72.95/31.66 % E exiting 72.95/31.67 EOF