0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.13/0.40 % Computer : n022.cluster.edu 0.13/0.40 % Model : x86_64 x86_64 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.40 % Memory : 8046.5625MB 0.13/0.40 % OS : Linux 6.8.0-71-generic 0.13/0.40 % CPULimit : 1440 0.13/0.40 % WCLimit : 180 0.13/0.40 % DateTime : Mon Jul 27 12:35:28 UTC 2026 0.13/0.40 % CPUTime : 0.13/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.13/0.46 Running higher-order theorem proving 4.94/5.22 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.oEAKA8XzZi/E---3.1_892936.p 68.56/27.65 % Version: 3.5.1-ho 68.56/27.65 % partial match(1): HMLMSMSMSSLCHFA 68.56/27.65 % Preprocessing class: HMLMSMLMSSLCHFA. 68.56/27.65 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 68.56/27.65 % Starting new_ho_10 with 895s (5) cores 68.56/27.65 % Starting sh5l with 179s (1) cores 68.56/27.65 % Starting new_bool_1 with 179s (1) cores 68.56/27.65 % Starting new_bool_2 with 179s (1) cores 68.56/27.65 % new_bool_1 with pid 892953 completed with status 0 68.56/27.65 % Result found by new_bool_1 68.56/27.65 % partial match(1): HMLMSMSMSSLCHFA 68.56/27.65 % Preprocessing class: HMLMSMLMSSLCHFA. 68.56/27.65 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 68.56/27.65 % Starting new_ho_10 with 895s (5) cores 68.56/27.65 % Starting sh5l with 179s (1) cores 68.56/27.65 % Starting new_bool_1 with 179s (1) cores 68.56/27.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 68.56/27.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 68.56/27.65 % Search class: HGHSM-SMLM32-DHFFFSBN 68.56/27.65 % Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 68.56/27.65 % Starting SubtermCWHack with 18s (1) cores 68.56/27.65 % SubtermCWHack with pid 892956 completed with status 8 68.56/27.65 % Starting new_ho_10 with 107s (1) cores 68.56/27.65 % new_ho_10 with pid 892958 completed with status 0 68.56/27.65 % Result found by new_ho_10 68.56/27.65 % partial match(1): HMLMSMSMSSLCHFA 68.56/27.65 % Preprocessing class: HMLMSMLMSSLCHFA. 68.56/27.65 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 68.56/27.65 % Starting new_ho_10 with 895s (5) cores 68.56/27.65 % Starting sh5l with 179s (1) cores 68.56/27.65 % Starting new_bool_1 with 179s (1) cores 68.56/27.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 68.56/27.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 68.56/27.65 % Search class: HGHSM-SMLM32-DHFFFSBN 68.56/27.65 % Scheduled 5 strats onto 1 cores with 177 seconds (177 total) 68.56/27.65 % Starting SubtermCWHack with 18s (1) cores 68.56/27.65 % SubtermCWHack with pid 892956 completed with status 8 68.56/27.65 % Starting new_ho_10 with 107s (1) cores 68.56/27.65 % Preprocessing time : 0.121 s 68.56/27.65 % Presaturation interreduction done 68.56/27.65 68.56/27.65 % Proof found! 68.56/27.65 % SZS status Theorem 68.56/27.65 % SZS output start CNFRefutation 68.56/27.65 thf(decl_sort1, type, nat: $tType). 68.56/27.65 thf(decl_sort2, type, num: $tType). 68.56/27.65 thf(decl_sort3, type, list_VEBT_VEBT: $tType). 68.56/27.65 thf(decl_sort4, type, option_nat: $tType). 68.56/27.65 thf(decl_sort5, type, vEBT_VEBT: $tType). 68.56/27.65 thf(decl_205, type, one_one_nat: nat). 68.56/27.65 thf(decl_211, type, plus_plus_nat: nat > nat > nat). 68.56/27.65 thf(decl_221, type, times_times_nat: nat > nat > nat). 68.56/27.65 thf(decl_305, type, if_nat: $o > nat > nat > nat). 68.56/27.65 thf(decl_366, type, list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT). 68.56/27.65 thf(decl_385, type, nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT). 68.56/27.65 thf(decl_413, type, suc: nat > nat). 68.56/27.65 thf(decl_481, type, bit0: num > num). 68.56/27.65 thf(decl_483, type, one: num). 68.56/27.65 thf(decl_491, type, numeral_numeral_nat: num > nat). 68.56/27.65 thf(decl_510, type, the_nat: option_nat > nat). 68.56/27.65 thf(decl_530, type, ord_less_nat: nat > nat > $o). 68.56/27.65 thf(decl_551, type, ord_less_eq_nat: nat > nat > $o). 68.56/27.65 thf(decl_593, type, power_power_nat: nat > nat > nat). 68.56/27.65 thf(decl_675, type, divide_divide_nat: nat > nat > nat). 68.56/27.65 thf(decl_831, type, vEBT_VEBT_high: nat > nat > nat). 68.56/27.65 thf(decl_833, type, vEBT_VEBT_low: nat > nat > nat). 68.56/27.65 thf(decl_844, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 68.56/27.65 thf(decl_865, type, vEBT_vebt_maxt: vEBT_VEBT > option_nat). 68.56/27.65 thf(decl_899, type, deg: nat). 68.56/27.65 thf(decl_900, type, lx: nat). 68.56/27.65 thf(decl_902, type, ma: nat). 68.56/27.65 thf(decl_904, type, na: nat). 68.56/27.65 thf(decl_906, type, summin: nat). 68.56/27.65 thf(decl_907, type, treeList: list_VEBT_VEBT). 68.56/27.65 thf(help_If_2_1_If_001t__Nat__Onat_T, axiom, ![X10424:nat, X10425:nat]:(((if_nat @ (~($true)) @ X10424 @ X10425)=(X10425))), file('/export/starexec/sandbox2/tmp/tmp.oEAKA8XzZi/E---3.1_892936.p', help_If_2_1_If_001t__Nat__Onat_T)). 68.56/27.65 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.oEAKA8XzZi/E---3.1_892936.p', conj_0)). 68.56/27.65 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.oEAKA8XzZi/E---3.1_892936.p', fact_21__C114_C)). 68.56/27.65 thf(fact_6__C9_C, axiom, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), file('/export/starexec/sandbox2/tmp/tmp.oEAKA8XzZi/E---3.1_892936.p', fact_6__C9_C)). 68.56/27.65 thf(fact_561_Suc__1, axiom, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), file('/export/starexec/sandbox2/tmp/tmp.oEAKA8XzZi/E---3.1_892936.p', fact_561_Suc__1)). 68.56/27.65 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.oEAKA8XzZi/E---3.1_892936.p', fact_16_hprolist)). 68.56/27.65 thf(help_If_1_1_If_001t__Nat__Onat_T, axiom, ![X15783:nat, X15784:nat]:(((if_nat @ (($true)) @ X15783 @ X15784)=(X15783))), file('/export/starexec/sandbox2/tmp/tmp.oEAKA8XzZi/E---3.1_892936.p', help_If_1_1_If_001t__Nat__Onat_T)). 68.56/27.65 thf(c_0_7, axiom, ![X10424:nat, X10425:nat]:(((~(~($true))|((if_nat @ $true @ X10424 @ X10425)=(X10425)))&(~($true)|((if_nat @ $false @ X10424 @ X10425)=(X10425))))), inference(fool_unroll,[status(thm)],[help_If_2_1_If_001t__Nat__Onat_T])). 68.56/27.65 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])). 68.56/27.65 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 @ $false @ (plus_plus_nat @ (times_times_nat @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ (divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one))))) @ (the_nat @ (vEBT_vebt_maxt @ (nth_VEBT_VEBT @ (list_u1324408373059187874T_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na) @ (vEBT_vebt_delete @ (nth_VEBT_VEBT @ treeList @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na)) @ (vEBT_VEBT_low @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))) @ (vEBT_VEBT_high @ (plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx) @ na))))) @ ma))))), inference(fool_unroll,[status(thm)],[fact_21__C114_C])). 68.56/27.65 thf(c_0_10, plain, ![X29337:nat, X29338:nat]:(((($true)|((if_nat @ $true @ X29337 @ X29338)=(X29338)))&(~($true)|((if_nat @ $false @ X29337 @ X29338)=(X29338))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 68.56/27.65 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])). 68.56/27.65 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])). 68.56/27.65 thf(c_0_13, plain, ((divide_divide_nat @ deg @ (numeral_numeral_nat @ (bit0 @ one)))=(na)), inference(split_conjunct,[status(thm)],[fact_6__C9_C])). 68.56/27.65 thf(c_0_14, plain, ((suc @ one_one_nat)=(numeral_numeral_nat @ (bit0 @ one))), inference(split_conjunct,[status(thm)],[fact_561_Suc__1])). 68.56/27.65 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])). 68.56/27.65 thf(c_0_16, plain, ![X1:nat, X3:nat]:((((if_nat @ (~($true)) @ X1 @ X3)=(X3))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_10])). 68.56/27.65 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])])])). 68.56/27.65 thf(c_0_18, plain, ![X29350:nat, X29351:nat]:(((if_nat @ $true @ X29350 @ X29351)=(X29350))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001t__Nat__Onat_T])). 68.56/27.65 thf(c_0_19, plain, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|(ord_less_nat @ (if_nat @ (~($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])). 68.56/27.65 thf(c_0_20, plain, ((divide_divide_nat @ deg @ (suc @ one_one_nat))=(na)), inference(rw,[status(thm)],[c_0_13, c_0_14])). 68.56/27.65 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])). 68.56/27.65 thf(c_0_22, plain, ![X1:nat, X3:nat]:(((if_nat @ (~($true)) @ X1 @ X3)=(X3))), inference(cn,[status(thm)],[c_0_16])). 68.56/27.65 thf(c_0_23, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)!=(ma))|~((ord_less_nat @ (if_nat @ (($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])). 68.56/27.65 thf(c_0_24, plain, ![X3:nat, X1:nat]:(((if_nat @ (($true)) @ X1 @ X3)=(X1))), inference(split_conjunct,[status(thm)],[c_0_18])). 68.56/27.65 thf(c_0_25, negated_conjecture, (((plus_plus_nat @ (times_times_nat @ summin @ (power_power_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ na)) @ lx)=(ma))|~((ord_less_nat @ (if_nat @ (~($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])). 68.56/27.65 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])). 68.56/27.65 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])). 68.56/27.65 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])). 68.56/27.65 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])). 68.56/27.65 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])). 68.56/27.65 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])])). 68.56/27.65 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']). 68.56/27.65 % SZS output end CNFRefutation 68.56/27.65 % Parsed axioms : 11234 68.56/27.65 % Removed by relevancy pruning/SinE : 6756 68.56/27.65 % Initial clauses : 11373 68.56/27.65 % Removed in clause preprocessing : 2674 68.56/27.65 % Initial clauses in saturation : 8699 68.56/27.65 % Processed clauses : 1857 68.56/27.65 % ...of these trivial : 175 68.56/27.65 % ...subsumed : 330 68.56/27.65 % ...remaining for further processing : 1351 68.56/27.65 % Other redundant clauses eliminated : 278 68.56/27.65 % Clauses deleted for lack of memory : 0 68.56/27.65 % Backward-subsumed : 11 68.56/27.65 % Backward-rewritten : 43 68.56/27.65 % Generated clauses : 265 68.56/27.65 % ...of the previous two non-redundant : 119 68.56/27.65 % ...aggressively subsumed : 0 68.56/27.65 % Contextual simplify-reflections : 1 68.56/27.65 % Paramodulations : 0 68.56/27.65 % Factorizations : 0 68.56/27.65 % NegExts : 0 68.56/27.65 % Equation resolutions : 278 68.56/27.65 % Disequality decompositions : 0 68.56/27.65 % Total rewrite steps : 859 68.56/27.65 % ...of those cached : 632 68.56/27.65 % Propositional unsat checks : 0 68.56/27.65 % Propositional check models : 0 68.56/27.65 % Propositional check unsatisfiable : 0 68.56/27.65 % Propositional clauses : 0 68.56/27.65 % Propositional clauses after purity: 0 68.56/27.65 % Propositional unsat core size : 0 68.56/27.65 % Propositional preprocessing time : 0.000 68.56/27.65 % Propositional encoding time : 0.000 68.56/27.65 % Propositional solver time : 0.000 68.56/27.65 % Success case prop preproc time : 0.000 68.56/27.65 % Success case prop encoding time : 0.000 68.56/27.65 % Success case prop solver time : 0.000 68.56/27.65 % Current number of processed clauses : 1032 68.56/27.65 % Positive orientable unit clauses : 476 68.56/27.65 % Positive unorientable unit clauses: 3 68.56/27.65 % Negative unit clauses : 170 68.56/27.65 % Non-unit-clauses : 383 68.56/27.65 % Current number of unprocessed clauses: 6961 68.56/27.65 % ...number of literals in the above : 28064 68.56/27.65 % Current number of archived formulas : 0 68.56/27.65 % Current number of archived clauses : 54 68.56/27.65 % Clause-clause subsumption calls (NU) : 40359 68.56/27.65 % Rec. Clause-clause subsumption calls : 23967 68.56/27.65 % Non-unit clause-clause subsumptions : 212 68.56/27.65 % Unit Clause-clause subsumption calls : 6475 68.56/27.65 % Rewrite failures with RHS unbound : 0 68.56/27.65 % BW rewrite match attempts : 295 68.56/27.65 % BW rewrite match successes : 49 68.56/27.65 % Condensation attempts : 1857 68.56/27.65 % Condensation successes : 0 68.56/27.65 % Termbank termtop insertions : 976353 68.56/27.65 % Search garbage collected termcells : 229599 68.56/27.65 68.56/27.65 % ------------------------------------------------- 68.56/27.65 % User time : 20.301 s 68.56/27.65 % System time : 0.508 s 68.56/27.65 % Total time : 20.809 s 68.56/27.65 % Maximum resident set size: 52384 pages 68.56/27.65 68.56/27.65 % ------------------------------------------------- 68.56/27.65 % User time : 21.744 s 68.56/27.65 % System time : 0.565 s 68.56/27.65 % Total time : 22.309 s 68.56/27.65 % Maximum resident set size: 30464 pages 68.56/27.65 % E exiting 68.56/27.66 EOF