0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : run_E %s %d THM 0.08/0.29 % Computer : n029.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 1440 0.08/0.29 % WCLimit : 180 0.08/0.29 % DateTime : Thu Jul 4 10:23:24 EDT 2024 0.08/0.30 % CPUTime : 0.14/0.41 Running higher-order theorem proving 4.06/4.27 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.vyYG230CkP/E---3.1_14080.p 13.61/8.23 # Version: 3.2.0-ho 13.61/8.23 # partial match(1): HMLMSMSMSSLCHFA 13.61/8.23 # Preprocessing class: HMLMSMLMSSLCHFA. 13.61/8.23 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 13.61/8.23 # Starting new_ho_10 with 895s (5) cores 13.61/8.23 # Starting sh5l with 179s (1) cores 13.61/8.23 # Starting new_bool_1 with 179s (1) cores 13.61/8.23 # Starting new_bool_2 with 179s (1) cores 13.61/8.23 # new_bool_1 with pid 14160 completed with status 0 13.61/8.23 # Result found by new_bool_1 13.61/8.23 # partial match(1): HMLMSMSMSSLCHFA 13.61/8.23 # Preprocessing class: HMLMSMLMSSLCHFA. 13.61/8.23 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 13.61/8.23 # Starting new_ho_10 with 895s (5) cores 13.61/8.23 # Starting sh5l with 179s (1) cores 13.61/8.23 # Starting new_bool_1 with 179s (1) cores 13.61/8.23 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 13.61/8.23 # Search class: HGHSM-SMLM32-DHFFFSBN 13.61/8.23 # Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 13.61/8.23 # Starting new_ho_10 with 107s (1) cores 13.61/8.23 # new_ho_10 with pid 14163 completed with status 0 13.61/8.23 # Result found by new_ho_10 13.61/8.23 # partial match(1): HMLMSMSMSSLCHFA 13.61/8.23 # Preprocessing class: HMLMSMLMSSLCHFA. 13.61/8.23 # Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 13.61/8.23 # Starting new_ho_10 with 895s (5) cores 13.61/8.23 # Starting sh5l with 179s (1) cores 13.61/8.23 # Starting new_bool_1 with 179s (1) cores 13.61/8.23 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 13.61/8.23 # Search class: HGHSM-SMLM32-DHFFFSBN 13.61/8.23 # Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 13.61/8.23 # Starting new_ho_10 with 107s (1) cores 13.61/8.23 # Preprocessing time : 0.200 s 13.61/8.23 # Presaturation interreduction done 13.61/8.23 13.61/8.23 # Proof found! 13.61/8.23 # SZS status Theorem 13.61/8.23 # SZS output start CNFRefutation 13.61/8.23 thf(decl_sort1, type, nat: $tType). 13.61/8.23 thf(decl_sort2, type, num: $tType). 13.61/8.23 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 13.61/8.23 thf(decl_sort4, type, option_nat: $tType). 13.61/8.23 thf(decl_sort5, type, vEBT_VEBT: $tType). 13.61/8.23 thf(decl_204, type, one_one_nat: nat). 13.61/8.23 thf(decl_210, type, plus_plus_nat: nat > nat > nat). 13.61/8.23 thf(decl_220, type, times_times_nat: nat > nat > nat). 13.61/8.23 thf(decl_304, type, if_nat: $o > nat > nat > nat). 13.61/8.23 thf(decl_365, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 13.61/8.23 thf(decl_384, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 13.61/8.23 thf(decl_412, type, suc: nat > nat). 13.61/8.23 thf(decl_480, type, bit0: num > num). 13.61/8.23 thf(decl_482, type, one: num). 13.61/8.23 thf(decl_490, type, numeral_numeral_nat: num > nat). 13.61/8.23 thf(decl_509, type, the_nat: option_nat > nat). 13.61/8.23 thf(decl_529, type, ord_less_nat: nat > nat > $o). 13.61/8.23 thf(decl_550, type, ord_less_eq_nat: nat > nat > $o). 13.61/8.23 thf(decl_592, type, power_power_nat: nat > nat > nat). 13.61/8.23 thf(decl_674, type, divide_divide_nat: nat > nat > nat). 13.61/8.23 thf(decl_830, type, vEBT_VEBT_high: nat > nat > nat). 13.61/8.23 thf(decl_832, type, vEBT_VEBT_low: nat > nat > nat). 13.61/8.23 thf(decl_843, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 13.61/8.23 thf(decl_864, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 13.61/8.23 thf(decl_898, type, deg: nat). 13.61/8.23 thf(decl_899, type, lx: nat). 13.61/8.23 thf(decl_901, type, ma: nat). 13.61/8.23 thf(decl_903, type, na: nat). 13.61/8.23 thf(decl_905, type, summin: nat). 13.61/8.23 thf(decl_906, type, treeList: list_VEBT_VEBT). 13.61/8.23 thf(help_If_2_1_If_001t__Nat__Onat_T, axiom, ![X15532:nat, X8:nat]:(((if_nat @ (~($true)) @ X15532 @ X8)=(X8))), file('/export/starexec/sandbox2/tmp/tmp.vyYG230CkP/E---3.1_14080.p', help_If_2_1_If_001t__Nat__Onat_T)). 13.61/8.23 thf(fact_21__C114_C, axiom, ((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))&(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.vyYG230CkP/E---3.1_14080.p', fact_21__C114_C)). 13.61/8.23 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.vyYG230CkP/E---3.1_14080.p', conj_0)). 13.61/8.23 thf(fact_6__C9_C, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.vyYG230CkP/E---3.1_14080.p', fact_6__C9_C)). 13.61/8.23 thf(fact_561_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.vyYG230CkP/E---3.1_14080.p', fact_561_Suc__1)). 13.61/8.23 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.vyYG230CkP/E---3.1_14080.p', fact_16_hprolist)). 13.61/8.23 thf(help_If_1_1_If_001t__Nat__Onat_T, axiom, ![X8407:nat, X8:nat]:(((if_nat @ (($true)) @ X8407 @ X8)=(X8407))), file('/export/starexec/sandbox2/tmp/tmp.vyYG230CkP/E---3.1_14080.p', help_If_1_1_If_001t__Nat__Onat_T)). 13.61/8.23 thf(c_0_7, axiom, ![X15532:nat, X8:nat]:(((~(~($true))|((if_nat @ $true @ X15532 @ X8)=(X8)))&(~($true)|((if_nat @ $false @ X15532 @ X8)=(X8))))), inference(fool_unroll,[status(thm)],[help_If_2_1_If_001t__Nat__Onat_T])). 13.61/8.23 thf(c_0_8, axiom, (((((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))))&((((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 @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))), inference(fool_unroll,[status(thm)],[fact_21__C114_C])). 13.61/8.23 thf(c_0_9, plain, ![X29369:nat, X29370:nat]:(((($true)|((if_nat @ $true @ X29369 @ X29370)=(X29370)))&(~($true)|((if_nat @ $false @ X29369 @ X29370)=(X29370))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 13.61/8.23 thf(c_0_10, 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)],[inference(assume_negation,[status(cth)],[conj_0])])). 13.61/8.23 thf(c_0_11, plain, (((((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))))&((((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(fof_nnf,[status(thm)],[c_0_8])). 13.61/8.23 thf(c_0_12, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_6__C9_C])). 13.61/8.23 thf(c_0_13, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_561_Suc__1])). 13.61/8.23 thf(c_0_14, 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])). 13.61/8.23 thf(c_0_15, plain, ![X2:nat, X3:nat]:((((if_nat @ (~($true)) @ X2 @ X3)=(X3))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_9])). 13.61/8.23 thf(c_0_16, 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_10])])])). 13.61/8.23 thf(c_0_17, plain, ![X29317:nat, X29318:nat]:(((if_nat @ $true @ X29317 @ X29318)=(X29317))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001t__Nat__Onat_T])). 13.61/8.23 thf(c_0_18, plain, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ (~($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_11])). 13.61/8.23 thf(c_0_19, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_12, c_0_13])). 13.61/8.23 thf(c_0_20, 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_14, c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_13])). 13.61/8.23 thf(c_0_21, plain, ![X2:nat, X3:nat]:(((if_nat @ (~($true)) @ X2 @ X3)=(X3))), inference(cn,[status(thm)],[c_0_15])). 13.61/8.23 thf(c_0_22, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|~((ord_less_nat @ (if_nat @ (($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_16])). 13.61/8.23 thf(c_0_23, plain, ![X3:nat, X2:nat]:(((if_nat @ (($true)) @ X2 @ X3)=(X2))), inference(split_conjunct,[status(thm)],[c_0_17])). 13.61/8.23 thf(c_0_24, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|~((ord_less_nat @ (if_nat @ (~($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_16])). 13.61/8.23 thf(c_0_25, 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_18, c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_19]), c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_20]), c_0_21]), c_0_13])). 13.61/8.23 thf(c_0_26, 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_11])). 13.61/8.23 thf(c_0_27, 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_22, c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_19]), c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_23]), c_0_13])). 13.61/8.23 thf(c_0_28, 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_24, c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_19]), c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_20]), c_0_21]), c_0_13]), c_0_25])). 13.61/8.23 thf(c_0_29, 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_26, c_0_13]), c_0_13]), c_0_13]), c_0_19]), c_0_13]), c_0_13]), c_0_13]), c_0_13]), c_0_20]), c_0_23]), c_0_13]), c_0_13])). 13.61/8.23 thf(c_0_30, 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_27, c_0_28]), c_0_28]), c_0_20]), c_0_28]), c_0_28])])). 13.61/8.23 thf(c_0_31, 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_29, c_0_28]), c_0_28]), c_0_28]), c_0_28])]), c_0_30]), ['proof']). 13.61/8.23 # SZS output end CNFRefutation 13.61/8.23 # Parsed axioms : 11234 13.61/8.23 # Removed by relevancy pruning/SinE : 6756 13.61/8.23 # Initial clauses : 11373 13.61/8.23 # Removed in clause preprocessing : 2674 13.61/8.23 # Initial clauses in saturation : 8699 13.61/8.23 # Processed clauses : 1857 13.61/8.23 # ...of these trivial : 174 13.61/8.23 # ...subsumed : 330 13.61/8.23 # ...remaining for further processing : 1352 13.61/8.23 # Other redundant clauses eliminated : 278 13.61/8.23 # Clauses deleted for lack of memory : 0 13.61/8.23 # Backward-subsumed : 11 13.61/8.23 # Backward-rewritten : 43 13.61/8.23 # Generated clauses : 265 13.61/8.23 # ...of the previous two non-redundant : 119 13.61/8.23 # ...aggressively subsumed : 0 13.61/8.23 # Contextual simplify-reflections : 1 13.61/8.23 # Paramodulations : 0 13.61/8.23 # Factorizations : 0 13.61/8.23 # NegExts : 0 13.61/8.23 # Equation resolutions : 278 13.61/8.23 # Disequality decompositions : 0 13.61/8.23 # Total rewrite steps : 858 13.61/8.23 # ...of those cached : 632 13.61/8.23 # Propositional unsat checks : 0 13.61/8.23 # Propositional check models : 0 13.61/8.23 # Propositional check unsatisfiable : 0 13.61/8.23 # Propositional clauses : 0 13.61/8.23 # Propositional clauses after purity: 0 13.61/8.23 # Propositional unsat core size : 0 13.61/8.23 # Propositional preprocessing time : 0.000 13.61/8.23 # Propositional encoding time : 0.000 13.61/8.23 # Propositional solver time : 0.000 13.61/8.23 # Success case prop preproc time : 0.000 13.61/8.23 # Success case prop encoding time : 0.000 13.61/8.23 # Success case prop solver time : 0.000 13.61/8.23 # Current number of processed clauses : 1033 13.61/8.23 # Positive orientable unit clauses : 477 13.61/8.23 # Positive unorientable unit clauses: 3 13.61/8.23 # Negative unit clauses : 170 13.61/8.23 # Non-unit-clauses : 383 13.61/8.23 # Current number of unprocessed clauses: 6961 13.61/8.23 # ...number of literals in the above : 28064 13.61/8.23 # Current number of archived formulas : 0 13.61/8.23 # Current number of archived clauses : 54 13.61/8.23 # Clause-clause subsumption calls (NU) : 42683 13.61/8.23 # Rec. Clause-clause subsumption calls : 24263 13.61/8.23 # Non-unit clause-clause subsumptions : 212 13.61/8.23 # Unit Clause-clause subsumption calls : 4976 13.61/8.23 # Rewrite failures with RHS unbound : 0 13.61/8.23 # BW rewrite match attempts : 295 13.61/8.23 # BW rewrite match successes : 49 13.61/8.23 # Condensation attempts : 1857 13.61/8.23 # Condensation successes : 0 13.61/8.23 # Termbank termtop insertions : 947796 13.61/8.23 # Search garbage collected termcells : 228520 13.61/8.23 13.61/8.23 # ------------------------------------------------- 13.61/8.23 # User time : 2.258 s 13.61/8.23 # System time : 0.105 s 13.61/8.23 # Total time : 2.363 s 13.61/8.23 # Maximum resident set size: 50488 pages 13.61/8.23 13.61/8.23 # ------------------------------------------------- 13.61/8.23 # User time : 3.413 s 13.61/8.23 # System time : 0.144 s 13.61/8.23 # Total time : 3.557 s 13.61/8.23 # Maximum resident set size: 26944 pages 13.61/8.23 % E---3.1 exiting 13.61/8.23 % E exiting 13.61/8.23 EOF