0.06/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.35 % Computer : n011.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1920 0.13/0.35 % WCLimit : 240 0.13/0.35 % DateTime : Wed Jul 30 07:38:19 EDT 2025 0.13/0.35 % CPUTime : 0.21/0.50 Running higher-order theorem proving 3.14/3.31 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=240 /export/starexec/sandbox2/tmp/tmp.A9iQPC5dPN/E---3.1_30411.p 12.91/6.52 # Version: 3.0.0-ho 12.91/6.52 # partial match(1): HMLMSMSMSSLCHFA 12.91/6.52 # Preprocessing class: HMLMSMLMSSLCHFA. 12.91/6.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 12.91/6.52 # Starting new_ho_10 with 1200s (5) cores 12.91/6.52 # Starting sh5l with 240s (1) cores 12.91/6.52 # Starting new_bool_1 with 240s (1) cores 12.91/6.52 # Starting new_bool_2 with 240s (1) cores 12.91/6.52 # new_bool_1 with pid 30491 completed with status 0 12.91/6.52 # Result found by new_bool_1 12.91/6.52 # partial match(1): HMLMSMSMSSLCHFA 12.91/6.52 # Preprocessing class: HMLMSMLMSSLCHFA. 12.91/6.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 12.91/6.52 # Starting new_ho_10 with 1200s (5) cores 12.91/6.52 # Starting sh5l with 240s (1) cores 12.91/6.52 # Starting new_bool_1 with 240s (1) cores 12.91/6.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 12.91/6.52 # Search class: HGHSM-SMLM32-DHFFFSBN 12.91/6.52 # Scheduled 5 strats onto 1 cores with 239 seconds (239 total) 12.91/6.52 # Starting new_ho_10 with 144s (1) cores 12.91/6.52 # new_ho_10 with pid 30494 completed with status 0 12.91/6.52 # Result found by new_ho_10 12.91/6.52 # partial match(1): HMLMSMSMSSLCHFA 12.91/6.52 # Preprocessing class: HMLMSMLMSSLCHFA. 12.91/6.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 12.91/6.52 # Starting new_ho_10 with 1200s (5) cores 12.91/6.52 # Starting sh5l with 240s (1) cores 12.91/6.52 # Starting new_bool_1 with 240s (1) cores 12.91/6.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 12.91/6.52 # Search class: HGHSM-SMLM32-DHFFFSBN 12.91/6.52 # Scheduled 5 strats onto 1 cores with 239 seconds (239 total) 12.91/6.52 # Starting new_ho_10 with 144s (1) cores 12.91/6.52 # Preprocessing time : 0.193 s 12.91/6.52 # Presaturation interreduction done 12.91/6.52 12.91/6.52 # Proof found! 12.91/6.52 # SZS status Theorem 12.91/6.52 # SZS output start CNFRefutation 12.91/6.52 thf(decl_sort1, type, nat: $tType). 12.91/6.52 thf(decl_sort2, type, num: $tType). 12.91/6.52 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 12.91/6.52 thf(decl_sort4, type, option_nat: $tType). 12.91/6.52 thf(decl_sort5, type, vEBT_VEBT: $tType). 12.91/6.52 thf(decl_205, type, one_one_nat: nat). 12.91/6.52 thf(decl_211, type, plus_plus_nat: nat > nat > nat). 12.91/6.52 thf(decl_221, type, times_times_nat: nat > nat > nat). 12.91/6.52 thf(decl_305, type, if_nat: $o > nat > nat > nat). 12.91/6.52 thf(decl_366, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 12.91/6.52 thf(decl_385, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 12.91/6.52 thf(decl_413, type, suc: nat > nat). 12.91/6.52 thf(decl_481, type, bit0: num > num). 12.91/6.52 thf(decl_483, type, one: num). 12.91/6.52 thf(decl_491, type, numeral_numeral_nat: num > nat). 12.91/6.52 thf(decl_510, type, the_nat: option_nat > nat). 12.91/6.52 thf(decl_530, type, ord_less_nat: nat > nat > $o). 12.91/6.52 thf(decl_551, type, ord_less_eq_nat: nat > nat > $o). 12.91/6.52 thf(decl_593, type, power_power_nat: nat > nat > nat). 12.91/6.52 thf(decl_675, type, divide_divide_nat: nat > nat > nat). 12.91/6.52 thf(decl_831, type, vEBT_VEBT_high: nat > nat > nat). 12.91/6.52 thf(decl_833, type, vEBT_VEBT_low: nat > nat > nat). 12.91/6.52 thf(decl_844, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 12.91/6.52 thf(decl_865, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 12.91/6.52 thf(decl_899, type, deg: nat). 12.91/6.52 thf(decl_900, type, lx: nat). 12.91/6.52 thf(decl_902, type, ma: nat). 12.91/6.52 thf(decl_904, type, na: nat). 12.91/6.52 thf(decl_906, type, summin: nat). 12.91/6.52 thf(decl_907, type, treeList: list_VEBT_VEBT). 12.91/6.52 thf(help_If_2_1_If_001t__Nat__Onat_T, axiom, ![X6:nat, X56:nat]:(((if_nat @ (~($true)) @ X6 @ X56)=(X56))), file('/export/starexec/sandbox2/tmp/tmp.A9iQPC5dPN/E---3.1_30411.p', help_If_2_1_If_001t__Nat__Onat_T)). 12.91/6.52 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.A9iQPC5dPN/E---3.1_30411.p', fact_21__C114_C)). 12.91/6.52 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.A9iQPC5dPN/E---3.1_30411.p', conj_0)). 12.91/6.52 thf(fact_6__C9_C, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.A9iQPC5dPN/E---3.1_30411.p', fact_6__C9_C)). 12.91/6.52 thf(fact_561_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.A9iQPC5dPN/E---3.1_30411.p', fact_561_Suc__1)). 12.91/6.52 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.A9iQPC5dPN/E---3.1_30411.p', fact_16_hprolist)). 12.91/6.52 thf(help_If_1_1_If_001t__Nat__Onat_T, axiom, ![X6:nat, X56:nat]:(((if_nat @ (($true)) @ X6 @ X56)=(X6))), file('/export/starexec/sandbox2/tmp/tmp.A9iQPC5dPN/E---3.1_30411.p', help_If_1_1_If_001t__Nat__Onat_T)). 12.91/6.52 thf(c_0_7, axiom, ![X6:nat, X56:nat]:(((~(~($true))|((if_nat @ $true @ X6 @ X56)=(X56)))&(~($true)|((if_nat @ $false @ X6 @ X56)=(X56))))), inference(fool_unroll,[status(thm)],[help_If_2_1_If_001t__Nat__Onat_T])). 12.91/6.52 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 @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ deg))))), inference(fool_unroll,[status(thm)],[fact_21__C114_C])). 12.91/6.52 thf(c_0_9, plain, ![X29759:nat, X29760:nat]:(((($true)|((if_nat @ $true @ X29759 @ X29760)=(X29760)))&(~($true)|((if_nat @ $false @ X29759 @ X29760)=(X29760))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 12.91/6.52 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])])). 12.91/6.52 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])). 12.91/6.52 thf(c_0_12, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_6__C9_C])). 12.91/6.52 thf(c_0_13, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_561_Suc__1])). 12.91/6.52 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])). 12.91/6.52 thf(c_0_15, plain, ![X6:nat, X7:nat]:((((if_nat @ (~($true)) @ X6 @ X7)=(X7))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_9])). 12.91/6.52 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])])])). 12.91/6.52 thf(c_0_17, plain, ![X29761:nat, X29762:nat]:(((if_nat @ $true @ X29761 @ X29762)=(X29761))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001t__Nat__Onat_T])). 12.91/6.52 thf(c_0_18, plain, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ (~($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])). 12.91/6.52 thf(c_0_19, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_12, c_0_13])). 12.91/6.52 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])). 12.91/6.52 thf(c_0_21, plain, ![X6:nat, X7:nat]:(((if_nat @ (~($true)) @ X6 @ X7)=(X7))), inference(cn,[status(thm)],[c_0_15])). 12.91/6.52 thf(c_0_22, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|~((ord_less_nat @ (if_nat @ (($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])). 12.91/6.52 thf(c_0_23, plain, ![X7:nat, X6:nat]:(((if_nat @ (($true)) @ X6 @ X7)=(X6))), inference(split_conjunct,[status(thm)],[c_0_17])). 12.91/6.52 thf(c_0_24, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|~((ord_less_nat @ (if_nat @ (~($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])). 12.91/6.52 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])). 12.91/6.52 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])). 12.91/6.52 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])). 12.91/6.52 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])). 12.91/6.52 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])). 12.91/6.52 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])])). 12.91/6.52 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']). 12.91/6.52 # SZS output end CNFRefutation 12.91/6.52 # Parsed axioms : 11234 12.91/6.52 # Removed by relevancy pruning/SinE : 6756 12.91/6.52 # Initial clauses : 11373 12.91/6.52 # Removed in clause preprocessing : 2674 12.91/6.52 # Initial clauses in saturation : 8699 12.91/6.52 # Processed clauses : 1861 12.91/6.52 # ...of these trivial : 171 12.91/6.52 # ...subsumed : 331 12.91/6.52 # ...remaining for further processing : 1358 12.91/6.52 # Other redundant clauses eliminated : 278 12.91/6.52 # Clauses deleted for lack of memory : 0 12.91/6.52 # Backward-subsumed : 11 12.91/6.52 # Backward-rewritten : 43 12.91/6.52 # Generated clauses : 265 12.91/6.52 # ...of the previous two non-redundant : 119 12.91/6.52 # ...aggressively subsumed : 0 12.91/6.52 # Contextual simplify-reflections : 1 12.91/6.52 # Paramodulations : 0 12.91/6.52 # Factorizations : 0 12.91/6.52 # NegExts : 0 12.91/6.52 # Equation resolutions : 278 12.91/6.52 # Disequality decompositions : 0 12.91/6.52 # Total rewrite steps : 855 12.91/6.52 # ...of those cached : 630 12.91/6.52 # Propositional unsat checks : 0 12.91/6.52 # Propositional check models : 0 12.91/6.52 # Propositional check unsatisfiable : 0 12.91/6.52 # Propositional clauses : 0 12.91/6.52 # Propositional clauses after purity: 0 12.91/6.52 # Propositional unsat core size : 0 12.91/6.52 # Propositional preprocessing time : 0.000 12.91/6.52 # Propositional encoding time : 0.000 12.91/6.52 # Propositional solver time : 0.000 12.91/6.52 # Success case prop preproc time : 0.000 12.91/6.52 # Success case prop encoding time : 0.000 12.91/6.52 # Success case prop solver time : 0.000 12.91/6.52 # Current number of processed clauses : 1039 12.91/6.52 # Positive orientable unit clauses : 481 12.91/6.52 # Positive unorientable unit clauses: 3 12.91/6.52 # Negative unit clauses : 170 12.91/6.52 # Non-unit-clauses : 385 12.91/6.52 # Current number of unprocessed clauses: 6957 12.91/6.52 # ...number of literals in the above : 28054 12.91/6.52 # Current number of archived formulas : 0 12.91/6.52 # Current number of archived clauses : 54 12.91/6.52 # Clause-clause subsumption calls (NU) : 41758 12.91/6.52 # Rec. Clause-clause subsumption calls : 25068 12.91/6.52 # Non-unit clause-clause subsumptions : 213 12.91/6.52 # Unit Clause-clause subsumption calls : 6624 12.91/6.52 # Rewrite failures with RHS unbound : 0 12.91/6.52 # BW rewrite match attempts : 298 12.91/6.52 # BW rewrite match successes : 49 12.91/6.52 # Condensation attempts : 1861 12.91/6.52 # Condensation successes : 0 12.91/6.52 # Termbank termtop insertions : 976438 12.91/6.52 # Search garbage collected termcells : 229712 12.91/6.52 12.91/6.52 # ------------------------------------------------- 12.91/6.52 # User time : 2.087 s 12.91/6.52 # System time : 0.090 s 12.91/6.52 # Total time : 2.176 s 12.91/6.52 # Maximum resident set size: 50784 pages 12.91/6.52 12.91/6.52 # ------------------------------------------------- 12.91/6.52 # User time : 3.013 s 12.91/6.52 # System time : 0.121 s 12.91/6.52 # Total time : 3.134 s 12.91/6.52 # Maximum resident set size: 27312 pages 12.91/6.52 % E exiting 12.91/6.52 % E exiting 12.91/6.52 EOF