%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP146^2 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:55:55 AM UTC 2026
% Result : Theorem 44.86s 7.99s
% Output : Refutation 44.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP146^2 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 08:28:07 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : ITP146^2 : TPTP v9.2.1. Released v7.5.0.
% 0.29/0.45 % Domain : Interactive Theorem Proving
% 0.29/0.45 % Problem : Sledgehammer Poincare_Bendixson problem prob_1288__19593336_1
% 0.29/0.45 % Version : Especial.
% 0.29/0.45 % English :
% 0.29/0.45
% 0.29/0.45 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.29/0.45 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Des21]
% 0.29/0.45 % Names : Poincare_Bendixson/prob_1288__19593336_1 [Des21]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % Rating : 0.33 v9.1.0, 0.00 v7.5.0
% 0.29/0.45 % Syntax : Number of formulae : 357 ( 54 unt; 52 typ; 0 def)
% 0.29/0.45 % Number of atoms : 821 ( 291 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 6 ( 2 avg)
% 0.29/0.45 % Number of connectives : 4287 ( 41 ~; 2 |; 28 &;3844 @)
% 0.29/0.45 % ( 0 <=>; 372 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 16 ( 7 avg)
% 0.29/0.45 % Number of types : 3 ( 2 usr)
% 0.29/0.45 % Number of type conns : 192 ( 192 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 51 ( 50 usr; 9 con; 0-5 aty)
% 0.29/0.45 % Number of variables : 727 ( 7 ^; 680 !; 2 ?; 727 :)
% 0.29/0.45 % ( 38 !>; 0 ?*; 0 @-; 0 @+)
% 0.29/0.45 % SPC : TH1_THM_EQU_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This file was generated by Sledgehammer 2021-02-23 16:31:42.052
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % Could-be-implicit typings (3)
% 0.29/0.45 thf(ty_t_Real_Oreal,type,
% 0.29/0.45 real: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_t_Set_Oset,type,
% 0.29/0.45 set: $tType > $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_tf_a,type,
% 0.29/0.45 a: $tType ).
% 0.29/0.45
% 0.29/0.45 % Explicit typings (49)
% 0.29/0.45 thf(sy_cl_Executable__Euclidean__Space_Oexecutable__euclidean__space,type,
% 0.29/0.45 execut510477386_space:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_HOL_Otype,type,
% 0.29/0.45 type:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ozero,type,
% 0.29/0.45 zero:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Orderings_Oorder,type,
% 0.29/0.45 order:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ogroup__add,type,
% 0.29/0.45 group_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Omonoid__add,type,
% 0.29/0.45 monoid_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oab__group__add,type,
% 0.29/0.45 ab_group_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Osemigroup__add,type,
% 0.29/0.45 semigroup_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocomm__monoid__add,type,
% 0.29/0.45 comm_monoid_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oab__semigroup__add,type,
% 0.29/0.45 ab_semigroup_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocomm__monoid__diff,type,
% 0.29/0.45 comm_monoid_diff:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocancel__semigroup__add,type,
% 0.29/0.45 cancel_semigroup_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__ab__group__add,type,
% 0.29/0.45 ordered_ab_group_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocancel__comm__monoid__add,type,
% 0.29/0.45 cancel1352612707id_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocancel__ab__semigroup__add,type,
% 0.29/0.45 cancel146912293up_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Olinordered__ab__group__add,type,
% 0.29/0.45 linord219039673up_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__comm__monoid__add,type,
% 0.29/0.45 ordere216010020id_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__ab__semigroup__add,type,
% 0.29/0.45 ordere779506340up_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ocanonically__ordered__monoid__add,type,
% 0.29/0.45 canoni770627133id_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ostrict__ordered__comm__monoid__add,type,
% 0.29/0.45 strict797366125id_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__ab__semigroup__add__imp__le,type,
% 0.29/0.45 ordere236663937imp_le:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__cancel__ab__semigroup__add,type,
% 0.29/0.45 ordere223160158up_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Ostrict__ordered__ab__semigroup__add,type,
% 0.29/0.45 strict2144017051up_add:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_cl_Groups_Oordered__ab__semigroup__monoid__add__imp__le,type,
% 0.29/0.45 ordere516151231imp_le:
% 0.29/0.45 !>[A: $tType] : $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Flow_Oauto__ll__on__open_Oexistence__ivl0,type,
% 0.29/0.45 auto_l1112008849e_ivl0:
% 0.29/0.45 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > ( set @ real ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Flow_Oauto__ll__on__open_Oflow0,type,
% 0.29/0.45 auto_ll_on_flow0:
% 0.29/0.45 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > real > A ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Groups_Ominus__class_Ominus,type,
% 0.29/0.45 minus_minus:
% 0.29/0.45 !>[A: $tType] : ( A > A > A ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Groups_Oplus__class_Oplus,type,
% 0.29/0.45 plus_plus:
% 0.29/0.45 !>[A: $tType] : ( A > A > A ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Groups_Ouminus__class_Ouminus,type,
% 0.29/0.45 uminus_uminus:
% 0.29/0.45 !>[A: $tType] : ( A > A ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Groups_Ozero__class_Ozero,type,
% 0.29/0.45 zero_zero:
% 0.29/0.45 !>[A: $tType] : A ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Initial__Value__Problem_Ointerval,type,
% 0.29/0.45 initia826609931terval: ( set @ real ) > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Orderings_Obot__class_Obot,type,
% 0.29/0.45 bot_bot:
% 0.29/0.45 !>[A: $tType] : A ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Orderings_Oord__class_Oless,type,
% 0.29/0.45 ord_less:
% 0.29/0.45 !>[A: $tType] : ( A > A > $o ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Orderings_Otop__class_Otop,type,
% 0.29/0.45 top_top:
% 0.29/0.45 !>[A: $tType] : A ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Oclosed__orbit,type,
% 0.29/0.45 period385816147_orbit:
% 0.29/0.45 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > $o ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiod,type,
% 0.29/0.45 period1153813292period:
% 0.29/0.45 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > real ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiodic__orbit,type,
% 0.29/0.45 period862636932_orbit:
% 0.29/0.45 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > $o ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OCollect,type,
% 0.29/0.45 collect:
% 0.29/0.45 !>[A: $tType] : ( ( A > $o ) > ( set @ A ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_member,type,
% 0.29/0.45 member:
% 0.29/0.45 !>[A: $tType] : ( A > ( set @ A ) > $o ) ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_X,type,
% 0.29/0.45 x: set @ a ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_d____,type,
% 0.29/0.45 d: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_f,type,
% 0.29/0.45 f: a > a ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_i1____,type,
% 0.29/0.45 i1: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_i2____,type,
% 0.29/0.45 i2: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_ss____,type,
% 0.29/0.45 ss: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_t,type,
% 0.29/0.45 t: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_tt____,type,
% 0.29/0.45 tt: real ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_x,type,
% 0.29/0.45 x2: a ).
% 0.29/0.45
% 0.29/0.45 thf(sy_v_xx____,type,
% 0.29/0.45 xx: a ).
% 0.29/0.45
% 0.29/0.45 % Relevant facts (255)
% 0.29/0.45 thf(fact_0__092_060open_062xx_A_092_060in_062_AX_092_060close_062,axiom,
% 0.29/0.45 member @ a @ xx @ x ).
% 0.29/0.45
% 0.29/0.45 % \<open>xx \<in> X\<close>
% 0.29/0.45 thf(fact_1__092_060open_062flow0_A_Iflow0_Axx_Att_J_A_I_N_Att_J_A_061_Aflow0_A_Iflow0_Ax_Ass_J_A_I_N_Att_J_092_060close_062,axiom,
% 0.29/0.45 ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt ) @ ( uminus_uminus @ real @ tt ) )
% 0.29/0.45 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss ) @ ( uminus_uminus @ real @ tt ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % \<open>flow0 (flow0 xx tt) (- tt) = flow0 (flow0 x ss) (- tt)\<close>
% 0.29/0.45 thf(fact_2_eq,axiom,
% 0.29/0.45 ( ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt )
% 0.29/0.45 = ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss ) ) ).
% 0.29/0.45
% 0.29/0.45 % eq
% 0.29/0.45 thf(fact_3_assms_I8_J,axiom,
% 0.29/0.45 member @ real @ t @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ x2 ) ).
% 0.29/0.45
% 0.29/0.45 % assms(8)
% 0.29/0.45 thf(fact_4_tt__ex,axiom,
% 0.29/0.45 member @ real @ tt @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ xx ) ).
% 0.29/0.45
% 0.29/0.45 % tt_ex
% 0.29/0.45 thf(fact_5_ss__ex,axiom,
% 0.29/0.45 member @ real @ ss @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ x2 ) ).
% 0.29/0.45
% 0.29/0.45 % ss_ex
% 0.29/0.45 thf(fact_6_fixpoint__sol_I2_J,axiom,
% 0.29/0.45 ! [X: a,T: real] :
% 0.29/0.45 ( ( member @ a @ X @ x )
% 0.29/0.45 => ( ( ( f @ X )
% 0.29/0.45 = ( zero_zero @ a ) )
% 0.29/0.45 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T )
% 0.29/0.45 = X ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % fixpoint_sol(2)
% 0.29/0.45 thf(fact_7_neg__tt__ex,axiom,
% 0.29/0.45 member @ real @ ( uminus_uminus @ real @ tt ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt ) ) ).
% 0.29/0.45
% 0.29/0.45 % neg_tt_ex
% 0.29/0.45 thf(fact_8_diff__existence__ivl__trans,axiom,
% 0.29/0.45 ! [T0: real,X0: a,T: real] :
% 0.29/0.45 ( ( member @ real @ T0 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T0 ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % diff_existence_ivl_trans
% 0.29/0.45 thf(fact_9_general_Oexistence__ivl__reverse,axiom,
% 0.29/0.45 ! [T: real,T0: real,X0: a] :
% 0.29/0.45 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( member @ real @ ( minus_minus @ real @ T0 @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % general.existence_ivl_reverse
% 0.29/0.45 thf(fact_10_general_Oflow__in__domain,axiom,
% 0.29/0.45 ! [T: real,T0: real,X0: a] :
% 0.29/0.45 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ x ) ) ).
% 0.29/0.45
% 0.29/0.45 % general.flow_in_domain
% 0.29/0.45 thf(fact_11_general_Oflows__reverse,axiom,
% 0.29/0.45 ! [T: real,T0: real,X0: a] :
% 0.29/0.45 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ ( minus_minus @ real @ T0 @ T ) )
% 0.29/0.45 = X0 ) ) ).
% 0.29/0.45
% 0.29/0.45 % general.flows_reverse
% 0.29/0.45 thf(fact_12_flow0__cong,axiom,
% 0.29/0.45 ! [B: $tType,Y: set @ a,G: a > a,T: real,X0: a] :
% 0.29/0.45 ( ( x = Y )
% 0.29/0.45 => ( ! [X2: a,T2: B] :
% 0.29/0.45 ( ( member @ a @ X2 @ Y )
% 0.29/0.45 => ( ( f @ X2 )
% 0.29/0.45 = ( G @ X2 ) ) )
% 0.29/0.45 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T )
% 0.29/0.45 = ( auto_ll_on_flow0 @ a @ G @ Y @ X0 @ T ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % flow0_cong
% 0.29/0.45 thf(fact_13_general_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 0.29/0.45 ! [T: real,T0: real,X0: a] :
% 0.29/0.45 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.45 => ( member @ a @ X0 @ x ) ) ).
% 0.29/0.45
% 0.29/0.45 % general.mem_existence_ivl_iv_defined(2)
% 0.29/0.45 thf(fact_14_closed__orbit__flow0,axiom,
% 0.29/0.45 ! [X: a,T: real] :
% 0.29/0.45 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.45 => ( period385816147_orbit @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X @ T ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % closed_orbit_flow0
% 0.29/0.45 thf(fact_15_existence__ivl0__cong,axiom,
% 0.29/0.45 ! [B: $tType,Y: set @ a,G: a > a,X0: a] :
% 0.29/0.45 ( ( x = Y )
% 0.29/0.45 => ( ! [X2: a,T2: B] :
% 0.29/0.45 ( ( member @ a @ X2 @ Y )
% 0.29/0.45 => ( ( f @ X2 )
% 0.29/0.45 = ( G @ X2 ) ) )
% 0.29/0.45 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 0.29/0.45 = ( auto_l1112008849e_ivl0 @ a @ G @ Y @ X0 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % existence_ivl0_cong
% 0.29/0.45 thf(fact_16_closed__orbit__in__domain,axiom,
% 0.29/0.45 ! [X: a] :
% 0.29/0.45 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.45 => ( member @ a @ X @ x ) ) ).
% 0.29/0.45
% 0.29/0.45 % closed_orbit_in_domain
% 0.29/0.45 thf(fact_17_fixed__point__imp__closed__orbit__period__zero_I1_J,axiom,
% 0.29/0.45 ! [X: a] :
% 0.29/0.45 ( ( member @ a @ X @ x )
% 0.29/0.45 => ( ( ( f @ X )
% 0.29/0.45 = ( zero_zero @ a ) )
% 0.29/0.45 => ( period385816147_orbit @ a @ f @ x @ X ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % fixed_point_imp_closed_orbit_period_zero(1)
% 0.29/0.45 thf(fact_18_recurrence__time__flip__sign_I1_J,axiom,
% 0.29/0.45 ! [T3: real,X: a] :
% 0.29/0.45 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.45 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T3 )
% 0.29/0.45 = X )
% 0.29/0.45 => ( member @ real @ ( uminus_uminus @ real @ T3 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % recurrence_time_flip_sign(1)
% 0.29/0.46 thf(fact_19_recurrence__time__flip__sign_I2_J,axiom,
% 0.29/0.46 ! [T3: real,X: a] :
% 0.29/0.46 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T3 )
% 0.29/0.46 = X )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( uminus_uminus @ real @ T3 ) )
% 0.29/0.46 = X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % recurrence_time_flip_sign(2)
% 0.29/0.46 thf(fact_20_local_Oflow__undefined0,axiom,
% 0.29/0.46 ! [T: real,X: a] :
% 0.29/0.46 ( ~ ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flow_undefined0
% 0.29/0.46 thf(fact_21_closed__orbitI,axiom,
% 0.29/0.46 ! [T: real,T4: real,Y2: a] :
% 0.29/0.46 ( ( T != T4 )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 0.29/0.46 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T4 ) )
% 0.29/0.46 => ( period385816147_orbit @ a @ f @ x @ Y2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbitI
% 0.29/0.46 thf(fact_22_general_Oflow__undefined0,axiom,
% 0.29/0.46 ! [T: real,T0: real,X: a] :
% 0.29/0.46 ( ~ ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ T0 ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.flow_undefined0
% 0.29/0.46 thf(fact_23_local_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ X0 @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.mem_existence_ivl_iv_defined(2)
% 0.29/0.46 thf(fact_24_local_Oflow__in__domain,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flow_in_domain
% 0.29/0.46 thf(fact_25_flow0__defined,axiom,
% 0.29/0.46 ! [Xa: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ Xa @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ Xa ) @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % flow0_defined
% 0.29/0.46 thf(fact_26_mvar_Ointerval__axioms,axiom,
% 0.29/0.46 ! [X0: a] : ( initia826609931terval @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ).
% 0.29/0.46
% 0.29/0.46 % mvar.interval_axioms
% 0.29/0.46 thf(fact_27_periodic__orbitI,axiom,
% 0.29/0.46 ! [T: real,T4: real,Y2: a] :
% 0.29/0.46 ( ( T != T4 )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 0.29/0.46 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T4 ) )
% 0.29/0.46 => ( ( ( f @ Y2 )
% 0.29/0.46 != ( zero_zero @ a ) )
% 0.29/0.46 => ( period862636932_orbit @ a @ f @ x @ Y2 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % periodic_orbitI
% 0.29/0.46 thf(fact_28_closed__orbit__periodic,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ( ( f @ X )
% 0.29/0.46 != ( zero_zero @ a ) )
% 0.29/0.46 => ( period862636932_orbit @ a @ f @ x @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbit_periodic
% 0.29/0.46 thf(fact_29_periodic__orbit__imp__flow0__regular,axiom,
% 0.29/0.46 ! [X: a,T: real] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ( f @ ( auto_ll_on_flow0 @ a @ f @ x @ X @ T ) )
% 0.29/0.46 != ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % periodic_orbit_imp_flow0_regular
% 0.29/0.46 thf(fact_30_diff__0,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 = ( uminus_uminus @ A @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_0
% 0.29/0.46 thf(fact_31_verit__minus__simplify_I3_J,axiom,
% 0.29/0.46 ! [B: $tType] :
% 0.29/0.46 ( ( group_add @ B )
% 0.29/0.46 => ! [B2: B] :
% 0.29/0.46 ( ( minus_minus @ B @ ( zero_zero @ B ) @ B2 )
% 0.29/0.46 = ( uminus_uminus @ B @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_minus_simplify(3)
% 0.29/0.46 thf(fact_32_closed__orbit__def,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 = ( ? [X3: real] :
% 0.29/0.46 ( ( member @ real @ X3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 & ( X3
% 0.29/0.46 != ( zero_zero @ real ) )
% 0.29/0.46 & ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ X3 )
% 0.29/0.46 = X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbit_def
% 0.29/0.46 thf(fact_33_local_Oflows__reverse,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) )
% 0.29/0.46 = X0 ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flows_reverse
% 0.29/0.46 thf(fact_34_local_Oexistence__ivl__reverse,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_reverse
% 0.29/0.46 thf(fact_35_general_Oflow__initial__time__if,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = X0 ) )
% 0.29/0.46 & ( ~ ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.flow_initial_time_if
% 0.29/0.46 thf(fact_36_interval__axioms,axiom,
% 0.29/0.46 initia826609931terval @ ( top_top @ ( set @ real ) ) ).
% 0.29/0.46
% 0.29/0.46 % interval_axioms
% 0.29/0.46 thf(fact_37_rev_Oexistence__ivl0__cong,axiom,
% 0.29/0.46 ! [B: $tType,Y: set @ a,G: a > a,X0: a] :
% 0.29/0.46 ( ( x = Y )
% 0.29/0.46 => ( ! [X2: a,T2: B] :
% 0.29/0.46 ( ( member @ a @ X2 @ Y )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 0.29/0.46 = ( G @ X2 ) ) )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 0.29/0.46 = ( auto_l1112008849e_ivl0 @ a @ G @ Y @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.existence_ivl0_cong
% 0.29/0.46 thf(fact_38_rev_Oclosed__orbit__eq__rev,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( period385816147_orbit @ a @ f @ x @ X ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_eq_rev
% 0.29/0.46 thf(fact_39_rev_Oclosed__orbit__in__domain,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( member @ a @ X @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_in_domain
% 0.29/0.46 thf(fact_40_neg__equal__iff__equal,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ( uminus_uminus @ A @ A2 )
% 0.29/0.46 = ( uminus_uminus @ A @ B2 ) )
% 0.29/0.46 = ( A2 = B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_equal_iff_equal
% 0.29/0.46 thf(fact_41_add_Oinverse__inverse,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( uminus_uminus @ A @ ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.inverse_inverse
% 0.29/0.46 thf(fact_42_verit__minus__simplify_I4_J,axiom,
% 0.29/0.46 ! [B: $tType] :
% 0.29/0.46 ( ( group_add @ B )
% 0.29/0.46 => ! [B2: B] :
% 0.29/0.46 ( ( uminus_uminus @ B @ ( uminus_uminus @ B @ B2 ) )
% 0.29/0.46 = B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_minus_simplify(4)
% 0.29/0.46 thf(fact_43_rev_Oexistence__ivl__zero,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.existence_ivl_zero
% 0.29/0.46 thf(fact_44_mem__Collect__eq,axiom,
% 0.29/0.46 ! [A: $tType,A2: A,P: A > $o] :
% 0.29/0.46 ( ( member @ A @ A2 @ ( collect @ A @ P ) )
% 0.29/0.46 = ( P @ A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % mem_Collect_eq
% 0.29/0.46 thf(fact_45_Collect__mem__eq,axiom,
% 0.29/0.46 ! [A: $tType,A3: set @ A] :
% 0.29/0.46 ( ( collect @ A
% 0.29/0.46 @ ^ [X3: A] : ( member @ A @ X3 @ A3 ) )
% 0.29/0.46 = A3 ) ).
% 0.29/0.46
% 0.29/0.46 % Collect_mem_eq
% 0.29/0.46 thf(fact_46_Collect__cong,axiom,
% 0.29/0.46 ! [A: $tType,P: A > $o,Q: A > $o] :
% 0.29/0.46 ( ! [X2: A] :
% 0.29/0.46 ( ( P @ X2 )
% 0.29/0.46 = ( Q @ X2 ) )
% 0.29/0.46 => ( ( collect @ A @ P )
% 0.29/0.46 = ( collect @ A @ Q ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % Collect_cong
% 0.29/0.46 thf(fact_47_ext,axiom,
% 0.29/0.46 ! [B: $tType,A: $tType,F: A > B,G: A > B] :
% 0.29/0.46 ( ! [X2: A] :
% 0.29/0.46 ( ( F @ X2 )
% 0.29/0.46 = ( G @ X2 ) )
% 0.29/0.46 => ( F = G ) ) ).
% 0.29/0.46
% 0.29/0.46 % ext
% 0.29/0.46 thf(fact_48_existence__ivl__zero,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % existence_ivl_zero
% 0.29/0.46 thf(fact_49_rev_Ogeneral_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ X0 @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.mem_existence_ivl_iv_defined(2)
% 0.29/0.46 thf(fact_50_local_Orev_Omem__existence__ivl__subset,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.mem_existence_ivl_subset
% 0.29/0.46 thf(fact_51_local_Omem__existence__ivl__subset,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.mem_existence_ivl_subset
% 0.29/0.46 thf(fact_52_rev_Oflow0__cong,axiom,
% 0.29/0.46 ! [B: $tType,Y: set @ a,G: a > a,T: real,X0: a] :
% 0.29/0.46 ( ( x = Y )
% 0.29/0.46 => ( ! [X2: a,T2: B] :
% 0.29/0.46 ( ( member @ a @ X2 @ Y )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 0.29/0.46 = ( G @ X2 ) ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ G @ Y @ X0 @ T ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.flow0_cong
% 0.29/0.46 thf(fact_53_rev_Orev__eq__flow,axiom,
% 0.29/0.46 ! [Y2: a,T: real] :
% 0.29/0.46 ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ ( uminus_uminus @ real @ T ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.rev_eq_flow
% 0.29/0.46 thf(fact_54_rev__eq__flow,axiom,
% 0.29/0.46 ! [Y2: a,T: real] :
% 0.29/0.46 ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ ( uminus_uminus @ real @ T ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev_eq_flow
% 0.29/0.46 thf(fact_55_rev_Ofixpoint__sol_I2_J,axiom,
% 0.29/0.46 ! [X: a,T: real] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T )
% 0.29/0.46 = X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.fixpoint_sol(2)
% 0.29/0.46 thf(fact_56_rev_Oclosed__orbit__flow0,axiom,
% 0.29/0.46 ! [X: a,T: real] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_flow0
% 0.29/0.46 thf(fact_57_rev_Omvar_Ointerval__axioms,axiom,
% 0.29/0.46 ! [X0: a] : ( initia826609931terval @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.mvar.interval_axioms
% 0.29/0.46 thf(fact_58_rev_Ofixed__point__imp__closed__orbit__period__zero_I1_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.fixed_point_imp_closed_orbit_period_zero(1)
% 0.29/0.46 thf(fact_59_local_Orev_Oexistence__ivl__initial__time,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_initial_time
% 0.29/0.46 thf(fact_60_local_Oexistence__ivl__initial__time,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_initial_time
% 0.29/0.46 thf(fact_61_rev_Ogeneral_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.mem_existence_ivl_iv_defined(1)
% 0.29/0.46 thf(fact_62_rev_Ogeneral_Oexistence__ivl__initial__time,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.existence_ivl_initial_time
% 0.29/0.46 thf(fact_63_rev_Omem__existence__ivl__shift__autonomous2,axiom,
% 0.29/0.46 ! [T: real,S: real,X: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ! [S2: real,T2: real,X2: a] :
% 0.29/0.46 ( ( member @ a @ X2 @ x )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 0.29/0.46 = ( uminus_uminus @ ( a > a ) @ f @ X2 ) ) )
% 0.29/0.46 => ( ( ( top_top @ ( set @ real ) )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.mem_existence_ivl_shift_autonomous2
% 0.29/0.46 thf(fact_64_rev_Ogeneral_Omem__existence__ivl__subset,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.mem_existence_ivl_subset
% 0.29/0.46 thf(fact_65_general_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.mem_existence_ivl_iv_defined(1)
% 0.29/0.46 thf(fact_66_general_Oexistence__ivl__initial__time,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.existence_ivl_initial_time
% 0.29/0.46 thf(fact_67_mem__existence__ivl__shift__autonomous2,axiom,
% 0.29/0.46 ! [T: real,S: real,X: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 => ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ! [S2: real,T2: real,X2: a] :
% 0.29/0.46 ( ( member @ a @ X2 @ x )
% 0.29/0.46 => ( ( f @ X2 )
% 0.29/0.46 = ( f @ X2 ) ) )
% 0.29/0.46 => ( ( ( top_top @ ( set @ real ) )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % mem_existence_ivl_shift_autonomous2
% 0.29/0.46 thf(fact_68_general_Omem__existence__ivl__subset,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.mem_existence_ivl_subset
% 0.29/0.46 thf(fact_69_rev_Odiff__existence__ivl__trans,axiom,
% 0.29/0.46 ! [T0: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ T0 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T0 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.diff_existence_ivl_trans
% 0.29/0.46 thf(fact_70_rev_Ogeneral_Oexistence__ivl__reverse,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ T0 @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.existence_ivl_reverse
% 0.29/0.46 thf(fact_71_rev_Ogeneral_Oflow__in__domain,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flow_in_domain
% 0.29/0.46 thf(fact_72_rev_Ogeneral_Oflows__reverse,axiom,
% 0.29/0.46 ! [T: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ ( minus_minus @ real @ T0 @ T ) )
% 0.29/0.46 = X0 ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flows_reverse
% 0.29/0.46 thf(fact_73_rev_Orecurrence__time__flip__sign_I2_J,axiom,
% 0.29/0.46 ! [T3: real,X: a] :
% 0.29/0.46 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T3 )
% 0.29/0.46 = X )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( uminus_uminus @ real @ T3 ) )
% 0.29/0.46 = X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.recurrence_time_flip_sign(2)
% 0.29/0.46 thf(fact_74_rev_Orecurrence__time__flip__sign_I1_J,axiom,
% 0.29/0.46 ! [T3: real,X: a] :
% 0.29/0.46 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T3 )
% 0.29/0.46 = X )
% 0.29/0.46 => ( member @ real @ ( uminus_uminus @ real @ T3 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.recurrence_time_flip_sign(1)
% 0.29/0.46 thf(fact_75_rev_Ofixpoint__sol_I1_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.fixpoint_sol(1)
% 0.29/0.46 thf(fact_76_fixpoint__sol_I1_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fixpoint_sol(1)
% 0.29/0.46 thf(fact_77_local_Orev_Oflow__undefined0,axiom,
% 0.29/0.46 ! [T: real,X: a] :
% 0.29/0.46 ( ~ ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flow_undefined0
% 0.29/0.46 thf(fact_78_rev_Oclosed__orbit__global__existence,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_global_existence
% 0.29/0.46 thf(fact_79_closed__orbit__global__existence,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbit_global_existence
% 0.29/0.46 thf(fact_80_rev_Oclosed__orbitI,axiom,
% 0.29/0.46 ! [T: real,T4: real,Y2: a] :
% 0.29/0.46 ( ( T != T4 )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 0.29/0.46 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T4 ) )
% 0.29/0.46 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbitI
% 0.29/0.46 thf(fact_81_rev_Operiodic__orbit__imp__flow0__regular,axiom,
% 0.29/0.46 ! [X: a,T: real] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T ) )
% 0.29/0.46 != ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.periodic_orbit_imp_flow0_regular
% 0.29/0.46 thf(fact_82_rev_Oclosed__orbit__periodic,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 != ( zero_zero @ a ) )
% 0.29/0.46 => ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_periodic
% 0.29/0.46 thf(fact_83_local_Orev_Oexistence__ivl__reverse,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_reverse
% 0.29/0.46 thf(fact_84_local_Orev_Oflows__reverse,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) )
% 0.29/0.46 = X0 ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flows_reverse
% 0.29/0.46 thf(fact_85_rev_Oflow__shift__autonomous2,axiom,
% 0.29/0.46 ! [T: real,S: real,X: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ! [S2: real,T2: real,X2: a] :
% 0.29/0.46 ( ( member @ a @ X2 @ x )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 0.29/0.46 = ( uminus_uminus @ ( a > a ) @ f @ X2 ) ) )
% 0.29/0.46 => ( ( ( top_top @ ( set @ real ) )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ S ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ S ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.flow_shift_autonomous2
% 0.29/0.46 thf(fact_86_flow__shift__autonomous2,axiom,
% 0.29/0.46 ! [T: real,S: real,X: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 0.29/0.46 => ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ! [S2: real,T2: real,X2: a] :
% 0.29/0.46 ( ( member @ a @ X2 @ x )
% 0.29/0.46 => ( ( f @ X2 )
% 0.29/0.46 = ( f @ X2 ) ) )
% 0.29/0.46 => ( ( ( top_top @ ( set @ real ) )
% 0.29/0.46 = ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ S ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ S ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % flow_shift_autonomous2
% 0.29/0.46 thf(fact_87_local_Orev_Oflow__initial__time__if,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = X0 ) )
% 0.29/0.46 & ( ~ ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flow_initial_time_if
% 0.29/0.46 thf(fact_88_local_Oflow__initial__time__if,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = X0 ) )
% 0.29/0.46 & ( ~ ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flow_initial_time_if
% 0.29/0.46 thf(fact_89_rev_Oclosed__orbit__def,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( ? [X3: real] :
% 0.29/0.46 ( ( member @ real @ X3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 & ( X3
% 0.29/0.46 != ( zero_zero @ real ) )
% 0.29/0.46 & ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ X3 )
% 0.29/0.46 = X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_def
% 0.29/0.46 thf(fact_90_rev_Ogeneral_Oflow__undefined0,axiom,
% 0.29/0.46 ! [T: real,T0: real,X: a] :
% 0.29/0.46 ( ~ ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ T0 ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flow_undefined0
% 0.29/0.46 thf(fact_91_rev_Ogeneral_Oflow__initial__time__if,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = X0 ) )
% 0.29/0.46 & ( ~ ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flow_initial_time_if
% 0.29/0.46 thf(fact_92_rev_Operiodic__orbitI,axiom,
% 0.29/0.46 ! [T: real,T4: real,Y2: a] :
% 0.29/0.46 ( ( T != T4 )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 0.29/0.46 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 0.29/0.46 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T4 ) )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ Y2 )
% 0.29/0.46 != ( zero_zero @ a ) )
% 0.29/0.46 => ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.periodic_orbitI
% 0.29/0.46 thf(fact_93_neg__equal__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ( uminus_uminus @ A @ A2 )
% 0.29/0.46 = A2 )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_equal_zero
% 0.29/0.46 thf(fact_94_equal__neg__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % equal_neg_zero
% 0.29/0.46 thf(fact_95_neg__equal__0__iff__equal,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ( uminus_uminus @ A @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_equal_0_iff_equal
% 0.29/0.46 thf(fact_96_neg__0__equal__iff__equal,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ( zero_zero @ A )
% 0.29/0.46 = ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( ( zero_zero @ A )
% 0.29/0.46 = A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_0_equal_iff_equal
% 0.29/0.46 thf(fact_97_add_Oinverse__neutral,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ( ( uminus_uminus @ A @ ( zero_zero @ A ) )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.inverse_neutral
% 0.29/0.46 thf(fact_98_diff__self,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_self
% 0.29/0.46 thf(fact_99_diff__0__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_0_right
% 0.29/0.46 thf(fact_100_zero__diff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_diff @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % zero_diff
% 0.29/0.46 thf(fact_101_diff__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_zero
% 0.29/0.46 thf(fact_102_cancel__comm__monoid__add__class_Odiff__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % cancel_comm_monoid_add_class.diff_cancel
% 0.29/0.46 thf(fact_103_minus__diff__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( uminus_uminus @ A @ ( minus_minus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( minus_minus @ A @ B2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_diff_eq
% 0.29/0.46 thf(fact_104_tt_I1_J,axiom,
% 0.29/0.46 ord_less @ real @ ( zero_zero @ real ) @ tt ).
% 0.29/0.46
% 0.29/0.46 % tt(1)
% 0.29/0.46 thf(fact_105_local_Orev_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ X0 @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.mem_existence_ivl_iv_defined(2)
% 0.29/0.46 thf(fact_106_rev_Oflow0__defined,axiom,
% 0.29/0.46 ! [Xa: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ Xa @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ Xa ) @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.flow0_defined
% 0.29/0.46 thf(fact_107_local_Orev_Oflow__in__domain,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) @ x ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flow_in_domain
% 0.29/0.46 thf(fact_108_local_Orev_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.mem_existence_ivl_iv_defined(1)
% 0.29/0.46 thf(fact_109_local_Orev_Oexistence__ivl__initial__time__iff,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 = ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_initial_time_iff
% 0.29/0.46 thf(fact_110_local_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 0.29/0.46 ! [T: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.mem_existence_ivl_iv_defined(1)
% 0.29/0.46 thf(fact_111_local_Oexistence__ivl__initial__time__iff,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 = ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_initial_time_iff
% 0.29/0.46 thf(fact_112_local_Orev_Oflow__initial__time,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flow_initial_time
% 0.29/0.46 thf(fact_113_local_Oflow__initial__time,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 0.29/0.46 = X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flow_initial_time
% 0.29/0.46 thf(fact_114_rev_Ogeneral_Oexistence__ivl__initial__time__iff,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 = ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.existence_ivl_initial_time_iff
% 0.29/0.46 thf(fact_115_general_Oexistence__ivl__initial__time__iff,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 = ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 & ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.existence_ivl_initial_time_iff
% 0.29/0.46 thf(fact_116_rev_Ogeneral_Oflow__initial__time,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flow_initial_time
% 0.29/0.46 thf(fact_117_general_Oflow__initial__time,axiom,
% 0.29/0.46 ! [T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 0.29/0.46 = X0 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.flow_initial_time
% 0.29/0.46 thf(fact_118_zero__reorient,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( zero @ A )
% 0.29/0.46 => ! [X: A] :
% 0.29/0.46 ( ( ( zero_zero @ A )
% 0.29/0.46 = X )
% 0.29/0.46 = ( X
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % zero_reorient
% 0.29/0.46 thf(fact_119_minus__equation__iff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ( uminus_uminus @ A @ A2 )
% 0.29/0.46 = B2 )
% 0.29/0.46 = ( ( uminus_uminus @ A @ B2 )
% 0.29/0.46 = A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_equation_iff
% 0.29/0.46 thf(fact_120_equation__minus__iff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( uminus_uminus @ A @ B2 ) )
% 0.29/0.46 = ( B2
% 0.29/0.46 = ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % equation_minus_iff
% 0.29/0.46 thf(fact_121_verit__negate__coefficient_I3_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( A2 = B2 )
% 0.29/0.46 => ( ( uminus_uminus @ A @ A2 )
% 0.29/0.46 = ( uminus_uminus @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_negate_coefficient(3)
% 0.29/0.46 thf(fact_122_diff__eq__diff__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A,D: A] :
% 0.29/0.46 ( ( ( minus_minus @ A @ A2 @ B2 )
% 0.29/0.46 = ( minus_minus @ A @ C @ D ) )
% 0.29/0.46 => ( ( A2 = B2 )
% 0.29/0.46 = ( C = D ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_eq_diff_eq
% 0.29/0.46 thf(fact_123_cancel__ab__semigroup__add__class_Odiff__right__commute,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( minus_minus @ A @ A2 @ C ) @ B2 )
% 0.29/0.46 = ( minus_minus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % cancel_ab_semigroup_add_class.diff_right_commute
% 0.29/0.46 thf(fact_124_eq__iff__diff__eq__0,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ( ( ^ [Y3: A,Z: A] : ( Y3 = Z ) )
% 0.29/0.46 = ( ^ [A4: A,B3: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A4 @ B3 )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_iff_diff_eq_0
% 0.29/0.46 thf(fact_125_minus__diff__commute,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( uminus_uminus @ A @ B2 ) @ A2 )
% 0.29/0.46 = ( minus_minus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_diff_commute
% 0.29/0.46 thf(fact_126_rev_Oclosed__orbit__period__zero__fixed__point,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ( ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( zero_zero @ real ) )
% 0.29/0.46 => ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbit_period_zero_fixed_point
% 0.29/0.46 thf(fact_127_closed__orbit__period__zero__fixed__point,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ( ( period1153813292period @ a @ f @ x @ X )
% 0.29/0.46 = ( zero_zero @ real ) )
% 0.29/0.46 => ( ( f @ X )
% 0.29/0.46 = ( zero_zero @ a ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbit_period_zero_fixed_point
% 0.29/0.46 thf(fact_128_rev_Operiodic__orbit__period_I2_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 0.29/0.46 = X ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.periodic_orbit_period(2)
% 0.29/0.46 thf(fact_129_periodic__orbit__period_I2_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( period1153813292period @ a @ f @ x @ X ) )
% 0.29/0.46 = X ) ) ).
% 0.29/0.46
% 0.29/0.46 % periodic_orbit_period(2)
% 0.29/0.46 thf(fact_130_rev_Ofixed__point__imp__closed__orbit__period__zero_I2_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( zero_zero @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.fixed_point_imp_closed_orbit_period_zero(2)
% 0.29/0.46 thf(fact_131_fixed__point__imp__closed__orbit__period__zero_I2_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( member @ a @ X @ x )
% 0.29/0.46 => ( ( ( f @ X )
% 0.29/0.46 = ( zero_zero @ a ) )
% 0.29/0.46 => ( ( period1153813292period @ a @ f @ x @ X )
% 0.29/0.46 = ( zero_zero @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % fixed_point_imp_closed_orbit_period_zero(2)
% 0.29/0.46 thf(fact_132_local_Orev_Oexistence__ivl__notempty,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 0.29/0.46 != ( bot_bot @ ( set @ real ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_notempty
% 0.29/0.46 thf(fact_133_local_Oexistence__ivl__notempty,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 0.29/0.46 != ( bot_bot @ ( set @ real ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_notempty
% 0.29/0.46 thf(fact_134_rev_Ogeneral_Oexistence__ivl__trans,axiom,
% 0.29/0.46 ! [S: real,T0: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.existence_ivl_trans
% 0.29/0.46 thf(fact_135_i2_I2_J,axiom,
% 0.29/0.46 ord_less @ real @ ( zero_zero @ real ) @ i1 ).
% 0.29/0.46
% 0.29/0.46 % i2(2)
% 0.29/0.46 thf(fact_136_add__right__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel_semigroup_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ B2 @ A2 )
% 0.29/0.46 = ( plus_plus @ A @ C @ A2 ) )
% 0.29/0.46 = ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_right_cancel
% 0.29/0.46 thf(fact_137_add__left__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel_semigroup_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ A2 @ B2 )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ C ) )
% 0.29/0.46 = ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_left_cancel
% 0.29/0.46 thf(fact_138_d,axiom,
% 0.29/0.46 ord_less @ real @ ( zero_zero @ real ) @ d ).
% 0.29/0.46
% 0.29/0.46 % d
% 0.29/0.46 thf(fact_139_local_Oflow__trans,axiom,
% 0.29/0.46 ! [S: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( plus_plus @ real @ S @ T ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.flow_trans
% 0.29/0.46 thf(fact_140_local_Oexistence__ivl__trans_H,axiom,
% 0.29/0.46 ! [T: real,S: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( plus_plus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_trans'
% 0.29/0.46 thf(fact_141_local_Oexistence__ivl__trans,axiom,
% 0.29/0.46 ! [S: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) ) )
% 0.29/0.46 => ( member @ real @ ( plus_plus @ real @ S @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_trans
% 0.29/0.46 thf(fact_142_i2_I3_J,axiom,
% 0.29/0.46 ord_less @ real @ i1 @ i2 ).
% 0.29/0.46
% 0.29/0.46 % i2(3)
% 0.29/0.46 thf(fact_143_local_Orev_Oflow__trans,axiom,
% 0.29/0.46 ! [S: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( plus_plus @ real @ S @ T ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.flow_trans
% 0.29/0.46 thf(fact_144_local_Orev_Oexistence__ivl__trans_H,axiom,
% 0.29/0.46 ! [T: real,S: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( plus_plus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_trans'
% 0.29/0.46 thf(fact_145_local_Orev_Oexistence__ivl__trans,axiom,
% 0.29/0.46 ! [S: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) ) )
% 0.29/0.46 => ( member @ real @ ( plus_plus @ real @ S @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_trans
% 0.29/0.46 thf(fact_146_general_Oflow__trans,axiom,
% 0.29/0.46 ! [S: real,T0: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.flow_trans
% 0.29/0.46 thf(fact_147_general_Oexistence__ivl__trans_H,axiom,
% 0.29/0.46 ! [T: real,S: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ T @ S ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.existence_ivl_trans'
% 0.29/0.46 thf(fact_148_general_Oexistence__ivl__trans,axiom,
% 0.29/0.46 ! [S: real,T0: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 0.29/0.46 => ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % general.existence_ivl_trans
% 0.29/0.46 thf(fact_149_periodic__orbit__period_I1_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ f @ x @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % periodic_orbit_period(1)
% 0.29/0.46 thf(fact_150_rev_Ogeneral_Oflow__trans,axiom,
% 0.29/0.46 ! [S: real,T0: real,X0: a,T: real] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 0.29/0.46 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) @ T ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.flow_trans
% 0.29/0.46 thf(fact_151_rev_Ogeneral_Oexistence__ivl__trans_H,axiom,
% 0.29/0.46 ! [T: real,S: real,T0: real,X0: a] :
% 0.29/0.46 ( ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ T @ S ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 0.29/0.46 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.general.existence_ivl_trans'
% 0.29/0.46 thf(fact_152_not__gr__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [N: A] :
% 0.29/0.46 ( ( ~ ( ord_less @ A @ ( zero_zero @ A ) @ N ) )
% 0.29/0.46 = ( N
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % not_gr_zero
% 0.29/0.46 thf(fact_153_add_Oleft__neutral,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( monoid_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.left_neutral
% 0.29/0.46 thf(fact_154_add_Oright__neutral,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( monoid_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.right_neutral
% 0.29/0.46 thf(fact_155_linordered__ab__group__add__class_Odouble__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ A2 @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % linordered_ab_group_add_class.double_zero
% 0.29/0.46 thf(fact_156_double__zero__sym,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ( zero_zero @ A )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ A2 ) )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % double_zero_sym
% 0.29/0.46 thf(fact_157_add__cancel__left__left,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ B2 @ A2 )
% 0.29/0.46 = A2 )
% 0.29/0.46 = ( B2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_cancel_left_left
% 0.29/0.46 thf(fact_158_add__cancel__left__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ A2 @ B2 )
% 0.29/0.46 = A2 )
% 0.29/0.46 = ( B2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_cancel_left_right
% 0.29/0.46 thf(fact_159_add__cancel__right__left,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( plus_plus @ A @ B2 @ A2 ) )
% 0.29/0.46 = ( B2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_cancel_right_left
% 0.29/0.46 thf(fact_160_add__cancel__right__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( B2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_cancel_right_right
% 0.29/0.46 thf(fact_161_add__eq__0__iff__both__eq__0,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [X: A,Y2: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ X @ Y2 )
% 0.29/0.46 = ( zero_zero @ A ) )
% 0.29/0.46 = ( ( X
% 0.29/0.46 = ( zero_zero @ A ) )
% 0.29/0.46 & ( Y2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_eq_0_iff_both_eq_0
% 0.29/0.46 thf(fact_162_zero__eq__add__iff__both__eq__0,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [X: A,Y2: A] :
% 0.29/0.46 ( ( ( zero_zero @ A )
% 0.29/0.46 = ( plus_plus @ A @ X @ Y2 ) )
% 0.29/0.46 = ( ( X
% 0.29/0.46 = ( zero_zero @ A ) )
% 0.29/0.46 & ( Y2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % zero_eq_add_iff_both_eq_0
% 0.29/0.46 thf(fact_163_neg__less__iff__less,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_less_iff_less
% 0.29/0.46 thf(fact_164_closed__orbitE,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 => ~ ! [T5: real] :
% 0.29/0.46 ( ( ord_less @ real @ ( zero_zero @ real ) @ T5 )
% 0.29/0.46 => ~ ! [T6: real] :
% 0.29/0.46 ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( plus_plus @ real @ T6 @ T5 ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ X @ T6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % closed_orbitE
% 0.29/0.46 thf(fact_165_add__less__cancel__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere236663937imp_le @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_cancel_right
% 0.29/0.46 thf(fact_166_add__less__cancel__left,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere236663937imp_le @ A )
% 0.29/0.46 => ! [C: A,A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_cancel_left
% 0.29/0.46 thf(fact_167_add__minus__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 ) )
% 0.29/0.46 = B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_minus_cancel
% 0.29/0.46 thf(fact_168_minus__add__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_add_cancel
% 0.29/0.46 thf(fact_169_minus__add__distrib,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( uminus_uminus @ A @ ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ ( uminus_uminus @ A @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_add_distrib
% 0.29/0.46 thf(fact_170_add__diff__cancel__right_H,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_cancel_right'
% 0.29/0.46 thf(fact_171_add__diff__cancel__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 0.29/0.46 = ( minus_minus @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_cancel_right
% 0.29/0.46 thf(fact_172_add__diff__cancel__left_H,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ A2 )
% 0.29/0.46 = B2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_cancel_left'
% 0.29/0.46 thf(fact_173_add__diff__cancel__left,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [C: A,A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 0.29/0.46 = ( minus_minus @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_cancel_left
% 0.29/0.46 thf(fact_174_diff__add__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ B2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_add_cancel
% 0.29/0.46 thf(fact_175_add__diff__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_cancel
% 0.29/0.46 thf(fact_176_rev_Operiodic__orbit__period_I1_J,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.periodic_orbit_period(1)
% 0.29/0.46 thf(fact_177_periodic__orbit__def,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ f @ x @ X )
% 0.29/0.46 = ( ( period385816147_orbit @ a @ f @ x @ X )
% 0.29/0.46 & ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ f @ x @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % periodic_orbit_def
% 0.29/0.46 thf(fact_178_tt_I2_J,axiom,
% 0.29/0.46 ord_less @ real @ tt @ d ).
% 0.29/0.46
% 0.29/0.46 % tt(2)
% 0.29/0.46 thf(fact_179_rev_Oclosed__orbitE,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 => ~ ! [T5: real] :
% 0.29/0.46 ( ( ord_less @ real @ ( zero_zero @ real ) @ T5 )
% 0.29/0.46 => ~ ! [T6: real] :
% 0.29/0.46 ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( plus_plus @ real @ T6 @ T5 ) )
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T6 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.closed_orbitE
% 0.29/0.46 thf(fact_180_rev_Operiodic__orbit__def,axiom,
% 0.29/0.46 ! [X: a] :
% 0.29/0.46 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 = ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 0.29/0.46 & ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % rev.periodic_orbit_def
% 0.29/0.46 thf(fact_181_less__neg__neg,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_neg_neg
% 0.29/0.46 thf(fact_182_neg__less__pos,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ A2 )
% 0.29/0.46 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_less_pos
% 0.29/0.46 thf(fact_183_neg__0__less__iff__less,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_0_less_iff_less
% 0.29/0.46 thf(fact_184_neg__less__0__iff__less,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ ( zero_zero @ A ) )
% 0.29/0.46 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % neg_less_0_iff_less
% 0.29/0.46 thf(fact_185_add__less__same__cancel1,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere516151231imp_le @ A )
% 0.29/0.46 => ! [B2: A,A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ B2 @ A2 ) @ B2 )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_same_cancel1
% 0.29/0.46 thf(fact_186_add__less__same__cancel2,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere516151231imp_le @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_same_cancel2
% 0.29/0.46 thf(fact_187_less__add__same__cancel1,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere516151231imp_le @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( ord_less @ A @ ( zero_zero @ A ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_add_same_cancel1
% 0.29/0.46 thf(fact_188_less__add__same__cancel2,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere516151231imp_le @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( plus_plus @ A @ B2 @ A2 ) )
% 0.29/0.46 = ( ord_less @ A @ ( zero_zero @ A ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_add_same_cancel2
% 0.29/0.46 thf(fact_189_double__add__less__zero__iff__single__add__less__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ A2 ) @ ( zero_zero @ A ) )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % double_add_less_zero_iff_single_add_less_zero
% 0.29/0.46 thf(fact_190_linordered__ab__group__add__class_Ozero__less__double__add__iff__zero__less__single__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( linord219039673up_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( plus_plus @ A @ A2 @ A2 ) )
% 0.29/0.46 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % linordered_ab_group_add_class.zero_less_double_add_iff_zero_less_single_add
% 0.29/0.46 thf(fact_191_diff__gt__0__iff__gt,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( minus_minus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( ord_less @ A @ B2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_gt_0_iff_gt
% 0.29/0.46 thf(fact_192_add_Oleft__inverse,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ A2 )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.left_inverse
% 0.29/0.46 thf(fact_193_add_Oright__inverse,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( uminus_uminus @ A @ A2 ) )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.right_inverse
% 0.29/0.46 thf(fact_194_diff__add__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_diff @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_add_zero
% 0.29/0.46 thf(fact_195_uminus__add__conv__diff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 )
% 0.29/0.46 = ( minus_minus @ A @ B2 @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % uminus_add_conv_diff
% 0.29/0.46 thf(fact_196_diff__minus__eq__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( uminus_uminus @ A @ B2 ) )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_minus_eq_add
% 0.29/0.46 thf(fact_197_local_Oexistence__ivl__undefined,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ~ ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_undefined
% 0.29/0.46 thf(fact_198_local_Orev_Oexistence__ivl__undefined,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ~ ( member @ a @ X0 @ x )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_undefined
% 0.29/0.46 thf(fact_199_local_Oexistence__ivl__empty__iff,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) )
% 0.29/0.46 = ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 | ~ ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_empty_iff
% 0.29/0.46 thf(fact_200_local_Oexistence__ivl__empty1,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.existence_ivl_empty1
% 0.29/0.46 thf(fact_201_local_Orev_Oexistence__ivl__empty__iff,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) )
% 0.29/0.46 = ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 | ~ ( member @ a @ X0 @ x ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_empty_iff
% 0.29/0.46 thf(fact_202_local_Orev_Oexistence__ivl__empty1,axiom,
% 0.29/0.46 ! [X0: a] :
% 0.29/0.46 ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 0.29/0.46 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 0.29/0.46 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % local.rev.existence_ivl_empty1
% 0.29/0.46 thf(fact_203_add__neg__neg,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere216010020id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 => ( ( ord_less @ A @ B2 @ ( zero_zero @ A ) )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ ( zero_zero @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_neg_neg
% 0.29/0.46 thf(fact_204_add__pos__pos,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere216010020id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 => ( ( ord_less @ A @ ( zero_zero @ A ) @ B2 )
% 0.29/0.46 => ( ord_less @ A @ ( zero_zero @ A ) @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_pos_pos
% 0.29/0.46 thf(fact_205_canonically__ordered__monoid__add__class_OlessE,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ~ ! [C2: A] :
% 0.29/0.46 ( ( B2
% 0.29/0.46 = ( plus_plus @ A @ A2 @ C2 ) )
% 0.29/0.46 => ( C2
% 0.29/0.46 = ( zero_zero @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % canonically_ordered_monoid_add_class.lessE
% 0.29/0.46 thf(fact_206_pos__add__strict,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( strict797366125id_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 => ( ( ord_less @ A @ B2 @ C )
% 0.29/0.46 => ( ord_less @ A @ B2 @ ( plus_plus @ A @ A2 @ C ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % pos_add_strict
% 0.29/0.46 thf(fact_207_add__less__imp__less__right,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere236663937imp_le @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 0.29/0.46 => ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_imp_less_right
% 0.29/0.46 thf(fact_208_add__less__imp__less__left,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere236663937imp_le @ A )
% 0.29/0.46 => ! [C: A,A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 0.29/0.46 => ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_less_imp_less_left
% 0.29/0.46 thf(fact_209_add__strict__right__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere223160158up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_strict_right_mono
% 0.29/0.46 thf(fact_210_add__strict__left__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere223160158up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_strict_left_mono
% 0.29/0.46 thf(fact_211_add__strict__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( strict2144017051up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A,D: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ( ord_less @ A @ C @ D )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ D ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_strict_mono
% 0.29/0.46 thf(fact_212_add__right__imp__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel_semigroup_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ B2 @ A2 )
% 0.29/0.46 = ( plus_plus @ A @ C @ A2 ) )
% 0.29/0.46 => ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_right_imp_eq
% 0.29/0.46 thf(fact_213_add__left__imp__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel_semigroup_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ A2 @ B2 )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ C ) )
% 0.29/0.46 => ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_left_imp_eq
% 0.29/0.46 thf(fact_214_less__diff__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( minus_minus @ A @ C @ B2 ) )
% 0.29/0.46 = ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_diff_eq
% 0.29/0.46 thf(fact_215_diff__less__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 0.29/0.46 = ( ord_less @ A @ A2 @ ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_less_eq
% 0.29/0.46 thf(fact_216_add_Oleft__commute,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_semigroup_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A,C: A] :
% 0.29/0.46 ( ( plus_plus @ A @ B2 @ ( plus_plus @ A @ A2 @ C ) )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.left_commute
% 0.29/0.46 thf(fact_217_add_Ocommute,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_semigroup_add @ A )
% 0.29/0.46 => ( ( plus_plus @ A )
% 0.29/0.46 = ( ^ [A4: A,B3: A] : ( plus_plus @ A @ B3 @ A4 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.commute
% 0.29/0.46 thf(fact_218_add_Oright__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ B2 @ A2 )
% 0.29/0.46 = ( plus_plus @ A @ C @ A2 ) )
% 0.29/0.46 = ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.right_cancel
% 0.29/0.46 thf(fact_219_add_Oleft__cancel,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ A2 @ B2 )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ C ) )
% 0.29/0.46 = ( B2 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.left_cancel
% 0.29/0.46 thf(fact_220_add_Oassoc,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( semigroup_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.assoc
% 0.29/0.46 thf(fact_221_group__cancel_Oadd2,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_add @ A )
% 0.29/0.46 => ! [B4: A,K: A,B2: A,A2: A] :
% 0.29/0.46 ( ( B4
% 0.29/0.46 = ( plus_plus @ A @ K @ B2 ) )
% 0.29/0.46 => ( ( plus_plus @ A @ A2 @ B4 )
% 0.29/0.46 = ( plus_plus @ A @ K @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % group_cancel.add2
% 0.29/0.46 thf(fact_222_group__cancel_Oadd1,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_add @ A )
% 0.29/0.46 => ! [A3: A,K: A,A2: A,B2: A] :
% 0.29/0.46 ( ( A3
% 0.29/0.46 = ( plus_plus @ A @ K @ A2 ) )
% 0.29/0.46 => ( ( plus_plus @ A @ A3 @ B2 )
% 0.29/0.46 = ( plus_plus @ A @ K @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % group_cancel.add1
% 0.29/0.46 thf(fact_223_add__mono__thms__linordered__semiring_I4_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere779506340up_add @ A )
% 0.29/0.46 => ! [I: A,J: A,K: A,L: A] :
% 0.29/0.46 ( ( ( I = J )
% 0.29/0.46 & ( K = L ) )
% 0.29/0.46 => ( ( plus_plus @ A @ I @ K )
% 0.29/0.46 = ( plus_plus @ A @ J @ L ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_mono_thms_linordered_semiring(4)
% 0.29/0.46 thf(fact_224_add__mono__thms__linordered__field_I1_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere223160158up_add @ A )
% 0.29/0.46 => ! [I: A,J: A,K: A,L: A] :
% 0.29/0.46 ( ( ( ord_less @ A @ I @ J )
% 0.29/0.46 & ( K = L ) )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_mono_thms_linordered_field(1)
% 0.29/0.46 thf(fact_225_add__mono__thms__linordered__field_I2_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere223160158up_add @ A )
% 0.29/0.46 => ! [I: A,J: A,K: A,L: A] :
% 0.29/0.46 ( ( ( I = J )
% 0.29/0.46 & ( ord_less @ A @ K @ L ) )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_mono_thms_linordered_field(2)
% 0.29/0.46 thf(fact_226_add__mono__thms__linordered__field_I5_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordere223160158up_add @ A )
% 0.29/0.46 => ! [I: A,J: A,K: A,L: A] :
% 0.29/0.46 ( ( ( ord_less @ A @ I @ J )
% 0.29/0.46 & ( ord_less @ A @ K @ L ) )
% 0.29/0.46 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_mono_thms_linordered_field(5)
% 0.29/0.46 thf(fact_227_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_semigroup_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C )
% 0.29/0.46 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % ab_semigroup_add_class.add_ac(1)
% 0.29/0.46 thf(fact_228_verit__comp__simplify1_I1_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( order @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ~ ( ord_less @ A @ A2 @ A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_comp_simplify1(1)
% 0.29/0.46 thf(fact_229_gr__zeroI,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [N: A] :
% 0.29/0.46 ( ( N
% 0.29/0.46 != ( zero_zero @ A ) )
% 0.29/0.46 => ( ord_less @ A @ ( zero_zero @ A ) @ N ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % gr_zeroI
% 0.29/0.46 thf(fact_230_not__less__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [N: A] :
% 0.29/0.46 ~ ( ord_less @ A @ N @ ( zero_zero @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % not_less_zero
% 0.29/0.46 thf(fact_231_gr__implies__not__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [M: A,N: A] :
% 0.29/0.46 ( ( ord_less @ A @ M @ N )
% 0.29/0.46 => ( N
% 0.29/0.46 != ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % gr_implies_not_zero
% 0.29/0.46 thf(fact_232_zero__less__iff__neq__zero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( canoni770627133id_add @ A )
% 0.29/0.46 => ! [N: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( zero_zero @ A ) @ N )
% 0.29/0.46 = ( N
% 0.29/0.46 != ( zero_zero @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % zero_less_iff_neq_zero
% 0.29/0.46 thf(fact_233_verit__sum__simplify,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_sum_simplify
% 0.29/0.46 thf(fact_234_comm__monoid__add__class_Oadd__0,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % comm_monoid_add_class.add_0
% 0.29/0.46 thf(fact_235_add_Ocomm__neutral,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( comm_monoid_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.comm_neutral
% 0.29/0.46 thf(fact_236_add_Ogroup__left__neutral,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 0.29/0.46 = A2 ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.group_left_neutral
% 0.29/0.46 thf(fact_237_verit__negate__coefficient_I2_J,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % verit_negate_coefficient(2)
% 0.29/0.46 thf(fact_238_less__minus__iff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ ( uminus_uminus @ A @ B2 ) )
% 0.29/0.46 = ( ord_less @ A @ B2 @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % less_minus_iff
% 0.29/0.46 thf(fact_239_minus__less__iff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ B2 )
% 0.29/0.46 = ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ A2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % minus_less_iff
% 0.29/0.46 thf(fact_240_diff__strict__right__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ord_less @ A @ ( minus_minus @ A @ A2 @ C ) @ ( minus_minus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_strict_right_mono
% 0.29/0.46 thf(fact_241_diff__strict__left__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [B2: A,A2: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ B2 @ A2 )
% 0.29/0.46 => ( ord_less @ A @ ( minus_minus @ A @ C @ A2 ) @ ( minus_minus @ A @ C @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_strict_left_mono
% 0.29/0.46 thf(fact_242_diff__eq__diff__less,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A,D: A] :
% 0.29/0.46 ( ( ( minus_minus @ A @ A2 @ B2 )
% 0.29/0.46 = ( minus_minus @ A @ C @ D ) )
% 0.29/0.46 => ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 = ( ord_less @ A @ C @ D ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_eq_diff_less
% 0.29/0.46 thf(fact_243_diff__strict__mono,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ordered_ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,D: A,C: A] :
% 0.29/0.46 ( ( ord_less @ A @ A2 @ B2 )
% 0.29/0.46 => ( ( ord_less @ A @ D @ C )
% 0.29/0.46 => ( ord_less @ A @ ( minus_minus @ A @ A2 @ C ) @ ( minus_minus @ A @ B2 @ D ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_strict_mono
% 0.29/0.46 thf(fact_244_group__cancel_Oneg1,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [A3: A,K: A,A2: A] :
% 0.29/0.46 ( ( A3
% 0.29/0.46 = ( plus_plus @ A @ K @ A2 ) )
% 0.29/0.46 => ( ( uminus_uminus @ A @ A3 )
% 0.29/0.46 = ( plus_plus @ A @ ( uminus_uminus @ A @ K ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % group_cancel.neg1
% 0.29/0.46 thf(fact_245_add_Oinverse__distrib__swap,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A] :
% 0.29/0.46 ( ( uminus_uminus @ A @ ( plus_plus @ A @ A2 @ B2 ) )
% 0.29/0.46 = ( plus_plus @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add.inverse_distrib_swap
% 0.29/0.46 thf(fact_246_add__implies__diff,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel1352612707id_add @ A )
% 0.29/0.46 => ! [C: A,B2: A,A2: A] :
% 0.29/0.46 ( ( ( plus_plus @ A @ C @ B2 )
% 0.29/0.46 = A2 )
% 0.29/0.46 => ( C
% 0.29/0.46 = ( minus_minus @ A @ A2 @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_implies_diff
% 0.29/0.46 thf(fact_247_diff__diff__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( cancel146912293up_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( minus_minus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 0.29/0.46 = ( minus_minus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_diff_add
% 0.29/0.46 thf(fact_248_diff__add__eq__diff__diff__swap,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) )
% 0.29/0.46 = ( minus_minus @ A @ ( minus_minus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_add_eq_diff_diff_swap
% 0.29/0.46 thf(fact_249_diff__add__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( plus_plus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 0.29/0.46 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_add_eq
% 0.29/0.46 thf(fact_250_diff__diff__eq2,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( minus_minus @ A @ A2 @ ( minus_minus @ A @ B2 @ C ) )
% 0.29/0.46 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_diff_eq2
% 0.29/0.46 thf(fact_251_add__diff__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( plus_plus @ A @ A2 @ ( minus_minus @ A @ B2 @ C ) )
% 0.29/0.46 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % add_diff_eq
% 0.29/0.46 thf(fact_252_eq__diff__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,C: A,B2: A] :
% 0.29/0.46 ( ( A2
% 0.29/0.46 = ( minus_minus @ A @ C @ B2 ) )
% 0.29/0.46 = ( ( plus_plus @ A @ A2 @ B2 )
% 0.29/0.46 = C ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % eq_diff_eq
% 0.29/0.46 thf(fact_253_diff__eq__eq,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( group_add @ A )
% 0.29/0.46 => ! [A2: A,B2: A,C: A] :
% 0.29/0.46 ( ( ( minus_minus @ A @ A2 @ B2 )
% 0.29/0.46 = C )
% 0.29/0.46 = ( A2
% 0.29/0.46 = ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % diff_eq_eq
% 0.29/0.46 thf(fact_254_group__cancel_Osub1,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( ab_group_add @ A )
% 0.29/0.46 => ! [A3: A,K: A,A2: A,B2: A] :
% 0.29/0.46 ( ( A3
% 0.29/0.46 = ( plus_plus @ A @ K @ A2 ) )
% 0.29/0.46 => ( ( minus_minus @ A @ A3 @ B2 )
% 0.29/0.46 = ( plus_plus @ A @ K @ ( minus_minus @ A @ A2 @ B2 ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 % group_cancel.sub1
% 0.29/0.46
% 0.29/0.46 % Subclasses (20)
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___HOL_Otype,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( type @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ozero,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( zero @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Orderings_Oorder,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( order @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ogroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( group_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Omonoid__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( monoid_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__group__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ab_group_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Osemigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( semigroup_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocomm__monoid__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( comm_monoid_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ab_semigroup_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( cancel_semigroup_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__group__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordered_ab_group_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__comm__monoid__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( cancel1352612707id_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__ab__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( cancel146912293up_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__comm__monoid__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordere216010020id_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordere779506340up_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__comm__monoid__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( strict797366125id_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordere236663937imp_le @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordere223160158up_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__ab__semigroup__add,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( strict2144017051up_add @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__monoid__add__imp__le,axiom,
% 0.29/0.46 ! [A: $tType] :
% 0.29/0.46 ( ( execut510477386_space @ A )
% 0.29/0.46 => ( ordere516151231imp_le @ A ) ) ).
% 0.29/0.46
% 0.29/0.46 % Type constructors (28)
% 0.29/0.46 thf(tcon_fun___Orderings_Oorder,axiom,
% 0.29/0.46 ! [A5: $tType,A6: $tType] :
% 0.29/0.46 ( ( order @ A6 )
% 0.29/0.46 => ( order @ ( A5 > A6 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Groups_Oab__semigroup__add,axiom,
% 0.29/0.46 ! [A5: $tType] :
% 0.29/0.46 ( ( ab_semigroup_add @ A5 )
% 0.29/0.46 => ( ab_semigroup_add @ ( set @ A5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Groups_Ocomm__monoid__add,axiom,
% 0.29/0.46 ! [A5: $tType] :
% 0.29/0.46 ( ( comm_monoid_add @ A5 )
% 0.29/0.46 => ( comm_monoid_add @ ( set @ A5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Groups_Osemigroup__add,axiom,
% 0.29/0.46 ! [A5: $tType] :
% 0.29/0.46 ( ( semigroup_add @ A5 )
% 0.29/0.46 => ( semigroup_add @ ( set @ A5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Groups_Omonoid__add,axiom,
% 0.29/0.46 ! [A5: $tType] :
% 0.29/0.46 ( ( monoid_add @ A5 )
% 0.29/0.46 => ( monoid_add @ ( set @ A5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Orderings_Oorder_1,axiom,
% 0.29/0.46 ! [A5: $tType] : ( order @ ( set @ A5 ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Set_Oset___Groups_Ozero,axiom,
% 0.29/0.46 ! [A5: $tType] :
% 0.29/0.46 ( ( zero @ A5 )
% 0.29/0.46 => ( zero @ ( set @ A5 ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_HOL_Obool___Orderings_Oorder_2,axiom,
% 0.29/0.46 order @ $o ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le,axiom,
% 0.29/0.46 ordere516151231imp_le @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add,axiom,
% 0.29/0.46 strict2144017051up_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 0.29/0.46 ordere223160158up_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 0.29/0.46 ordere236663937imp_le @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add,axiom,
% 0.29/0.46 strict797366125id_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add,axiom,
% 0.29/0.46 ordere779506340up_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__comm__monoid__add,axiom,
% 0.29/0.46 ordere216010020id_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Olinordered__ab__group__add,axiom,
% 0.29/0.46 linord219039673up_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add,axiom,
% 0.29/0.46 cancel146912293up_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add,axiom,
% 0.29/0.46 cancel1352612707id_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oordered__ab__group__add,axiom,
% 0.29/0.46 ordered_ab_group_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ocancel__semigroup__add,axiom,
% 0.29/0.46 cancel_semigroup_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oab__semigroup__add_3,axiom,
% 0.29/0.46 ab_semigroup_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ocomm__monoid__add_4,axiom,
% 0.29/0.46 comm_monoid_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Osemigroup__add_5,axiom,
% 0.29/0.46 semigroup_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Oab__group__add,axiom,
% 0.29/0.46 ab_group_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Omonoid__add_6,axiom,
% 0.29/0.46 monoid_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ogroup__add,axiom,
% 0.29/0.46 group_add @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Orderings_Oorder_7,axiom,
% 0.29/0.46 order @ real ).
% 0.29/0.46
% 0.29/0.46 thf(tcon_Real_Oreal___Groups_Ozero_8,axiom,
% 0.29/0.46 zero @ real ).
% 0.29/0.46
% 0.29/0.46 % Free types (1)
% 0.29/0.46 thf(tfree_0,hypothesis,
% 0.29/0.46 execut510477386_space @ a ).
% 0.29/0.46
% 0.29/0.46 % Conjectures (1)
% 0.29/0.46 thf(conj_0,conjecture,
% 0.29/0.46 ( xx
% 0.29/0.46 = ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ( minus_minus @ real @ ss @ tt ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 2.60/1.47 ---- Embedded in THF ---
% 2.60/1.47 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.60/1.47 %%% Generated on Tue Feb 24 08:28:08 EST 2026
% 2.60/1.47 %%% using '$$dhol' embedding, version 1.3.0.
% 2.60/1.47 %%% Logic specification used:
% 2.60/1.47 %%% thf(spec, logic, $$dhol).
% 2.60/1.47
% 2.60/1.47 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2DTF26592.p
% 2.60/1.47 thf(ty_t_Real_Oreal, type, real: $tType).
% 2.60/1.47 thf(ty_t_Set_Oset, type, set: ($tType > $tType)).
% 2.60/1.47 thf(ty_tf_a, type, a: $tType).
% 2.60/1.47 thf(sy_cl_Executable__Euclidean__Space_Oexecutable__euclidean__space, type, execut510477386_space: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_HOL_Otype, type, type: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ozero, type, zero: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Orderings_Oorder, type, order: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ogroup__add, type, group_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Omonoid__add, type, monoid_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oab__group__add, type, ab_group_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Osemigroup__add, type, semigroup_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocomm__monoid__add, type, comm_monoid_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oab__semigroup__add, type, ab_semigroup_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocomm__monoid__diff, type, comm_monoid_diff: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocancel__semigroup__add, type, cancel_semigroup_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__ab__group__add, type, ordered_ab_group_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocancel__comm__monoid__add, type, cancel1352612707id_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocancel__ab__semigroup__add, type, cancel146912293up_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Olinordered__ab__group__add, type, linord219039673up_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__comm__monoid__add, type, ordere216010020id_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__ab__semigroup__add, type, ordere779506340up_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ocanonically__ordered__monoid__add, type, canoni770627133id_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ostrict__ordered__comm__monoid__add, type, strict797366125id_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__ab__semigroup__add__imp__le, type, ordere236663937imp_le: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__cancel__ab__semigroup__add, type, ordere223160158up_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Ostrict__ordered__ab__semigroup__add, type, strict2144017051up_add: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_cl_Groups_Oordered__ab__semigroup__monoid__add__imp__le, type, ordere516151231imp_le: (!> [A:$tType]: ($o))).
% 2.60/1.47 thf(sy_c_Flow_Oauto__ll__on__open_Oexistence__ivl0, type, auto_l1112008849e_ivl0: (!> [A:$tType]: (((A > A) > ((set @ A) > (A > (set @ real))))))).
% 2.60/1.47 thf(sy_c_Flow_Oauto__ll__on__open_Oflow0, type, auto_ll_on_flow0: (!> [A:$tType]: (((A > A) > ((set @ A) > (A > (real > A))))))).
% 2.60/1.47 thf(sy_c_Groups_Ominus__class_Ominus, type, minus_minus: (!> [A:$tType]: ((A > (A > A))))).
% 2.60/1.47 thf(sy_c_Groups_Oplus__class_Oplus, type, plus_plus: (!> [A:$tType]: ((A > (A > A))))).
% 2.60/1.47 thf(sy_c_Groups_Ouminus__class_Ouminus, type, uminus_uminus: (!> [A:$tType]: ((A > A)))).
% 2.60/1.47 thf(sy_c_Groups_Ozero__class_Ozero, type, zero_zero: (!> [A:$tType]: (A))).
% 2.60/1.47 thf(sy_c_Initial__Value__Problem_Ointerval, type, initia826609931terval: ((set @ real) > $o)).
% 2.60/1.47 thf(sy_c_Orderings_Obot__class_Obot, type, bot_bot: (!> [A:$tType]: (A))).
% 2.60/1.47 thf(sy_c_Orderings_Oord__class_Oless, type, ord_less: (!> [A:$tType]: ((A > (A > $o))))).
% 2.60/1.47 thf(sy_c_Orderings_Otop__class_Otop, type, top_top: (!> [A:$tType]: (A))).
% 2.60/1.47 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Oclosed__orbit, type, period385816147_orbit: (!> [A:$tType]: (((A > A) > ((set @ A) > (A > $o)))))).
% 2.60/1.47 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiod, type, period1153813292period: (!> [A:$tType]: (((A > A) > ((set @ A) > (A > real)))))).
% 2.60/1.47 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiodic__orbit, type, period862636932_orbit: (!> [A:$tType]: (((A > A) > ((set @ A) > (A > $o)))))).
% 2.60/1.47 thf(sy_c_Set_OCollect, type, collect: (!> [A:$tType]: (((A > $o) > (set @ A))))).
% 2.60/1.47 thf(sy_c_member, type, member: (!> [A:$tType]: ((A > ((set @ A) > $o))))).
% 2.60/1.47 thf(sy_v_X, type, x: (set @ a)).
% 2.60/1.47 thf(sy_v_d____, type, d: real).
% 2.60/1.47 thf(sy_v_f, type, f: (a > a)).
% 2.60/1.47 thf(sy_v_i1____, type, i1: real).
% 2.60/1.47 thf(sy_v_i2____, type, i2: real).
% 2.60/1.47 thf(sy_v_ss____, type, ss: real).
% 2.60/1.47 thf(sy_v_t, type, t: real).
% 2.60/1.47 thf(sy_v_tt____, type, tt: real).
% 2.60/1.47 thf(sy_v_x, type, x2: a).
% 2.60/1.47 thf(sy_v_xx____, type, xx: a).
% 2.60/1.47 thf(fact_0__092_060open_062xx_A_092_060in_062_AX_092_060close_062, axiom, (((member @ a) @ xx) @ x)).
% 2.60/1.47 thf(fact_1__092_060open_062flow0_A_Iflow0_Axx_Att_J_A_I_N_Att_J_A_061_Aflow0_A_Iflow0_Ax_Ass_J_A_I_N_Att_J_092_060close_062, axiom, ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ xx) @ tt)) @ ((uminus_uminus @ real) @ tt)) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ x2) @ ss)) @ ((uminus_uminus @ real) @ tt)))).
% 2.60/1.47 thf(fact_2_eq, axiom, ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ xx) @ tt) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ x2) @ ss))).
% 2.60/1.47 thf(fact_3_assms_I8_J, axiom, (((member @ real) @ t) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ x2))).
% 2.60/1.47 thf(fact_4_tt__ex, axiom, (((member @ real) @ tt) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ xx))).
% 2.60/1.47 thf(fact_5_ss__ex, axiom, (((member @ real) @ ss) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ x2))).
% 2.60/1.47 thf(fact_6_fixpoint__sol_I2_J, axiom, (! [X:a,T:real]: (((((member @ a) @ X) @ x) => (((f @ X) = (zero_zero @ a)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T) = X)))))).
% 2.60/1.47 thf(fact_7_neg__tt__ex, axiom, (((member @ real) @ ((uminus_uminus @ real) @ tt)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ xx) @ tt)))).
% 2.60/1.47 thf(fact_8_diff__existence__ivl__trans, axiom, (! [T0:real,X0:a,T:real]: (((((member @ real) @ T0) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T0)))))))).
% 2.60/1.47 thf(fact_9_general_Oexistence__ivl__reverse, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ T0) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0)))))))).
% 2.60/1.47 thf(fact_10_general_Oflow__in__domain, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))) @ x))))).
% 2.60/1.47 thf(fact_11_general_Oflows__reverse, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))) @ (((minus_minus @ real) @ T0) @ T)) = X0))))).
% 2.60/1.47 thf(fact_12_flow0__cong, axiom, (! [B:$tType,Y:(set @ a),G:(a > a),T:real,X0:a]: (((x = Y) => ((! [X2:a,T2:B]: (((((member @ a) @ X2) @ Y) => ((f @ X2) = (G @ X2))))) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T) = (((((auto_ll_on_flow0 @ a) @ G) @ Y) @ X0) @ T)))))))).
% 2.60/1.47 thf(fact_13_general_Omem__existence__ivl__iv__defined_I2_J, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ a) @ X0) @ x))))).
% 2.60/1.47 thf(fact_14_closed__orbit__flow0, axiom, (! [X:a,T:real]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => ((((period385816147_orbit @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T)))))).
% 2.60/1.47 thf(fact_15_existence__ivl0__cong, axiom, (! [B:$tType,Y:(set @ a),G:(a > a),X0:a]: (((x = Y) => ((! [X2:a,T2:B]: (((((member @ a) @ X2) @ Y) => ((f @ X2) = (G @ X2))))) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0) = ((((auto_l1112008849e_ivl0 @ a) @ G) @ Y) @ X0))))))).
% 2.60/1.47 thf(fact_16_closed__orbit__in__domain, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => (((member @ a) @ X) @ x))))).
% 2.60/1.47 thf(fact_17_fixed__point__imp__closed__orbit__period__zero_I1_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((f @ X) = (zero_zero @ a)) => ((((period385816147_orbit @ a) @ f) @ x) @ X)))))).
% 2.60/1.47 thf(fact_18_recurrence__time__flip__sign_I1_J, axiom, (! [T3:real,X:a]: (((((member @ real) @ T3) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)) => (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T3) = X) => (((member @ real) @ ((uminus_uminus @ real) @ T3)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X))))))).
% 2.60/1.47 thf(fact_19_recurrence__time__flip__sign_I2_J, axiom, (! [T3:real,X:a]: (((((member @ real) @ T3) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)) => (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T3) = X) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ ((uminus_uminus @ real) @ T3)) = X)))))).
% 2.60/1.47 thf(fact_20_local_Oflow__undefined0, axiom, (! [T:real,X:a]: (((~ ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T) = (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_21_closed__orbitI, axiom, (! [T:real,T4:real,Y2:a]: (((T != T4) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ Y2)) => ((((member @ real) @ T4) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ Y2)) => (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ T4)) => ((((period385816147_orbit @ a) @ f) @ x) @ Y2)))))))).
% 2.60/1.47 thf(fact_22_general_Oflow__undefined0, axiom, (! [T:real,T0:real,X:a]: (((~ ((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ (((minus_minus @ real) @ T) @ T0)) = (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_23_local_Omem__existence__ivl__iv__defined_I2_J, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ a) @ X0) @ x))))).
% 2.60/1.47 thf(fact_24_local_Oflow__in__domain, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T)) @ x))))).
% 2.60/1.47 thf(fact_25_flow0__defined, axiom, (! [Xa:real,X0:a]: (((((member @ real) @ Xa) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ Xa)) @ x))))).
% 2.60/1.47 thf(fact_26_mvar_Ointerval__axioms, axiom, (! [X0:a]: ((initia826609931terval @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0))))).
% 2.60/1.47 thf(fact_27_periodic__orbitI, axiom, (! [T:real,T4:real,Y2:a]: (((T != T4) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ Y2)) => ((((member @ real) @ T4) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ Y2)) => (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ T4)) => (((f @ Y2) != (zero_zero @ a)) => ((((period862636932_orbit @ a) @ f) @ x) @ Y2))))))))).
% 2.60/1.47 thf(fact_28_closed__orbit__periodic, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => (((f @ X) != (zero_zero @ a)) => ((((period862636932_orbit @ a) @ f) @ x) @ X)))))).
% 2.60/1.47 thf(fact_29_periodic__orbit__imp__flow0__regular, axiom, (! [X:a,T:real]: ((((((period862636932_orbit @ a) @ f) @ x) @ X) => ((f @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T)) != (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_30_diff__0, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((minus_minus @ A) @ (zero_zero @ A)) @ A2) = ((uminus_uminus @ A) @ A2)))))))).
% 2.60/1.47 thf(fact_31_verit__minus__simplify_I3_J, axiom, (! [B:$tType]: (((group_add @ B) => (! [B2:B]: (((((minus_minus @ B) @ (zero_zero @ B)) @ B2) = ((uminus_uminus @ B) @ B2)))))))).
% 2.60/1.47 thf(fact_32_closed__orbit__def, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) = (? [X3:real]: (((((member @ real) @ X3) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)) & ((X3 != (zero_zero @ real)) & ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ X3) = X))))))))).
% 2.60/1.47 thf(fact_33_local_Oflows__reverse, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T)) @ (((minus_minus @ real) @ (zero_zero @ real)) @ T)) = X0))))).
% 2.60/1.47 thf(fact_34_local_Oexistence__ivl__reverse, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ (zero_zero @ real)) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T))))))).
% 2.60/1.47 thf(fact_35_general_Oflow__initial__time__if, axiom, (! [T0:real,X0:a]: (((((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = X0)) & ((~ (((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_36_interval__axioms, axiom, (initia826609931terval @ (top_top @ (set @ real)))).
% 2.60/1.47 thf(fact_37_rev_Oexistence__ivl0__cong, axiom, (! [B:$tType,Y:(set @ a),G:(a > a),X0:a]: (((x = Y) => ((! [X2:a,T2:B]: (((((member @ a) @ X2) @ Y) => ((((uminus_uminus @ (a > a)) @ f) @ X2) = (G @ X2))))) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) = ((((auto_l1112008849e_ivl0 @ a) @ G) @ Y) @ X0))))))).
% 2.60/1.47 thf(fact_38_rev_Oclosed__orbit__eq__rev, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = ((((period385816147_orbit @ a) @ f) @ x) @ X))))).
% 2.60/1.47 thf(fact_39_rev_Oclosed__orbit__in__domain, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => (((member @ a) @ X) @ x))))).
% 2.60/1.47 thf(fact_40_neg__equal__iff__equal, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((uminus_uminus @ A) @ A2) = ((uminus_uminus @ A) @ B2)) = (A2 = B2)))))))).
% 2.60/1.47 thf(fact_41_add_Oinverse__inverse, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: ((((uminus_uminus @ A) @ ((uminus_uminus @ A) @ A2)) = A2))))))).
% 2.60/1.47 thf(fact_42_verit__minus__simplify_I4_J, axiom, (! [B:$tType]: (((group_add @ B) => (! [B2:B]: ((((uminus_uminus @ B) @ ((uminus_uminus @ B) @ B2)) = B2))))))).
% 2.60/1.47 thf(fact_43_rev_Oexistence__ivl__zero, axiom, (! [X0:a]: (((((member @ a) @ X0) @ x) => (((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)))))).
% 2.60/1.47 thf(fact_44_mem__Collect__eq, axiom, (! [A:$tType,A2:A,P:(A > $o)]: (((((member @ A) @ A2) @ ((collect @ A) @ P)) = (P @ A2))))).
% 2.60/1.47 thf(fact_45_Collect__mem__eq, axiom, (! [A:$tType,A3:(set @ A)]: ((((collect @ A) @ (^ [X3:A]: ((((member @ A) @ X3) @ A3)))) = A3)))).
% 2.60/1.47 thf(fact_46_Collect__cong, axiom, (! [A:$tType,P:(A > $o),Q:(A > $o)]: (((! [X2:A]: (((P @ X2) = (Q @ X2)))) => (((collect @ A) @ P) = ((collect @ A) @ Q)))))).
% 2.60/1.47 thf(fact_47_ext, axiom, (! [B:$tType,A:$tType,F:(A > B),G:(A > B)]: (((! [X2:A]: (((F @ X2) = (G @ X2)))) => (F = G))))).
% 2.60/1.47 thf(fact_48_existence__ivl__zero, axiom, (! [X0:a]: (((((member @ a) @ X0) @ x) => (((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)))))).
% 2.60/1.47 thf(fact_49_rev_Ogeneral_Omem__existence__ivl__iv__defined_I2_J, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ a) @ X0) @ x))))).
% 2.60/1.47 thf(fact_50_local_Orev_Omem__existence__ivl__subset, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ T) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_51_local_Omem__existence__ivl__subset, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ T) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_52_rev_Oflow0__cong, axiom, (! [B:$tType,Y:(set @ a),G:(a > a),T:real,X0:a]: (((x = Y) => ((! [X2:a,T2:B]: (((((member @ a) @ X2) @ Y) => ((((uminus_uminus @ (a > a)) @ f) @ X2) = (G @ X2))))) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T) = (((((auto_ll_on_flow0 @ a) @ G) @ Y) @ X0) @ T)))))))).
% 2.60/1.47 thf(fact_53_rev_Orev__eq__flow, axiom, (! [Y2:a,T:real]: (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ ((uminus_uminus @ real) @ T)))))).
% 2.60/1.47 thf(fact_54_rev__eq__flow, axiom, (! [Y2:a,T:real]: (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ Y2) @ ((uminus_uminus @ real) @ T)))))).
% 2.60/1.47 thf(fact_55_rev_Ofixpoint__sol_I2_J, axiom, (! [X:a,T:real]: (((((member @ a) @ X) @ x) => (((((uminus_uminus @ (a > a)) @ f) @ X) = (zero_zero @ a)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T) = X)))))).
% 2.60/1.47 thf(fact_56_rev_Oclosed__orbit__flow0, axiom, (! [X:a,T:real]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => ((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T)))))).
% 2.60/1.47 thf(fact_57_rev_Omvar_Ointerval__axioms, axiom, (! [X0:a]: ((initia826609931terval @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0))))).
% 2.60/1.47 thf(fact_58_rev_Ofixed__point__imp__closed__orbit__period__zero_I1_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((((uminus_uminus @ (a > a)) @ f) @ X) = (zero_zero @ a)) => ((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)))))).
% 2.60/1.47 thf(fact_59_local_Orev_Oexistence__ivl__initial__time, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_60_local_Oexistence__ivl__initial__time, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_61_rev_Ogeneral_Omem__existence__ivl__iv__defined_I1_J, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ T0) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_62_rev_Ogeneral_Oexistence__ivl__initial__time, axiom, (! [T0:real,X0:a]: (((((member @ real) @ T0) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((member @ real) @ (((minus_minus @ real) @ T0) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_63_rev_Omem__existence__ivl__shift__autonomous2, axiom, (! [T:real,S:real,X:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) => ((((member @ a) @ X) @ x) => ((! [S2:real,T2:real,X2:a]: (((((member @ a) @ X2) @ x) => ((((uminus_uminus @ (a > a)) @ f) @ X2) = (((uminus_uminus @ (a > a)) @ f) @ X2))))) => (((top_top @ (set @ real)) = (top_top @ (set @ real))) => (((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X))))))))).
% 2.60/1.47 thf(fact_64_rev_Ogeneral_Omem__existence__ivl__subset, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ T) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_65_general_Omem__existence__ivl__iv__defined_I1_J, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ T0) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_66_general_Oexistence__ivl__initial__time, axiom, (! [T0:real,X0:a]: (((((member @ real) @ T0) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((member @ real) @ (((minus_minus @ real) @ T0) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_67_mem__existence__ivl__shift__autonomous2, axiom, (! [T:real,S:real,X:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)) => ((((member @ a) @ X) @ x) => ((! [S2:real,T2:real,X2:a]: (((((member @ a) @ X2) @ x) => ((f @ X2) = (f @ X2))))) => (((top_top @ (set @ real)) = (top_top @ (set @ real))) => (((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X))))))))).
% 2.60/1.47 thf(fact_68_general_Omem__existence__ivl__subset, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ T) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_69_rev_Odiff__existence__ivl__trans, axiom, (! [T0:real,X0:a,T:real]: (((((member @ real) @ T0) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T0)))))))).
% 2.60/1.47 thf(fact_70_rev_Ogeneral_Oexistence__ivl__reverse, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ T0) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0)))))))).
% 2.60/1.47 thf(fact_71_rev_Ogeneral_Oflow__in__domain, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))) @ x))))).
% 2.60/1.47 thf(fact_72_rev_Ogeneral_Oflows__reverse, axiom, (! [T:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))) @ (((minus_minus @ real) @ T0) @ T)) = X0))))).
% 2.60/1.47 thf(fact_73_rev_Orecurrence__time__flip__sign_I2_J, axiom, (! [T3:real,X:a]: (((((member @ real) @ T3) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) => (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T3) = X) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ ((uminus_uminus @ real) @ T3)) = X)))))).
% 2.60/1.47 thf(fact_74_rev_Orecurrence__time__flip__sign_I1_J, axiom, (! [T3:real,X:a]: (((((member @ real) @ T3) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) => (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T3) = X) => (((member @ real) @ ((uminus_uminus @ real) @ T3)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X))))))).
% 2.60/1.47 thf(fact_75_rev_Ofixpoint__sol_I1_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((((uminus_uminus @ (a > a)) @ f) @ X) = (zero_zero @ a)) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (top_top @ (set @ real)))))))).
% 2.60/1.47 thf(fact_76_fixpoint__sol_I1_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((f @ X) = (zero_zero @ a)) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X) = (top_top @ (set @ real)))))))).
% 2.60/1.47 thf(fact_77_local_Orev_Oflow__undefined0, axiom, (! [T:real,X:a]: (((~ ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T) = (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_78_rev_Oclosed__orbit__global__existence, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_79_closed__orbit__global__existence, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X) = (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_80_rev_Oclosed__orbitI, axiom, (! [T:real,T4:real,Y2:a]: (((T != T4) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2)) => ((((member @ real) @ T4) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2)) => (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ T4)) => ((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2)))))))).
% 2.60/1.47 thf(fact_81_rev_Operiodic__orbit__imp__flow0__regular, axiom, (! [X:a,T:real]: ((((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => ((((uminus_uminus @ (a > a)) @ f) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T)) != (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_82_rev_Oclosed__orbit__periodic, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => (((((uminus_uminus @ (a > a)) @ f) @ X) != (zero_zero @ a)) => ((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)))))).
% 2.60/1.47 thf(fact_83_local_Orev_Oexistence__ivl__reverse, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ (((minus_minus @ real) @ (zero_zero @ real)) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T))))))).
% 2.60/1.47 thf(fact_84_local_Orev_Oflows__reverse, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T)) @ (((minus_minus @ real) @ (zero_zero @ real)) @ T)) = X0))))).
% 2.60/1.47 thf(fact_85_rev_Oflow__shift__autonomous2, axiom, (! [T:real,S:real,X:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) => ((((member @ a) @ X) @ x) => ((! [S2:real,T2:real,X2:a]: (((((member @ a) @ X2) @ x) => ((((uminus_uminus @ (a > a)) @ f) @ X2) = (((uminus_uminus @ (a > a)) @ f) @ X2))))) => (((top_top @ (set @ real)) = (top_top @ (set @ real))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ (((minus_minus @ real) @ T) @ S)) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ (((minus_minus @ real) @ T) @ S)))))))))).
% 2.60/1.47 thf(fact_86_flow__shift__autonomous2, axiom, (! [T:real,S:real,X:a]: (((((member @ real) @ (((minus_minus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X)) => ((((member @ a) @ X) @ x) => ((! [S2:real,T2:real,X2:a]: (((((member @ a) @ X2) @ x) => ((f @ X2) = (f @ X2))))) => (((top_top @ (set @ real)) = (top_top @ (set @ real))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ (((minus_minus @ real) @ T) @ S)) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ (((minus_minus @ real) @ T) @ S)))))))))).
% 2.60/1.47 thf(fact_87_local_Orev_Oflow__initial__time__if, axiom, (! [X0:a]: (((((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (zero_zero @ real)) = X0)) & ((~ (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (zero_zero @ real)) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_88_local_Oflow__initial__time__if, axiom, (! [X0:a]: (((((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (zero_zero @ real)) = X0)) & ((~ (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (zero_zero @ real)) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_89_rev_Oclosed__orbit__def, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (? [X3:real]: (((((member @ real) @ X3) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) & ((X3 != (zero_zero @ real)) & ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ X3) = X))))))))).
% 2.60/1.47 thf(fact_90_rev_Ogeneral_Oflow__undefined0, axiom, (! [T:real,T0:real,X:a]: (((~ ((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ (((minus_minus @ real) @ T) @ T0)) = (zero_zero @ a)))))).
% 2.60/1.47 thf(fact_91_rev_Ogeneral_Oflow__initial__time__if, axiom, (! [T0:real,X0:a]: (((((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = X0)) & ((~ (((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_92_rev_Operiodic__orbitI, axiom, (! [T:real,T4:real,Y2:a]: (((T != T4) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2)) => ((((member @ real) @ T4) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2)) => (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ T) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2) @ T4)) => (((((uminus_uminus @ (a > a)) @ f) @ Y2) != (zero_zero @ a)) => ((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ Y2))))))))).
% 2.60/1.47 thf(fact_93_neg__equal__zero, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((((uminus_uminus @ A) @ A2) = A2) = (A2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_94_equal__neg__zero, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((A2 = ((uminus_uminus @ A) @ A2)) = (A2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_95_neg__equal__0__iff__equal, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((uminus_uminus @ A) @ A2) = (zero_zero @ A)) = (A2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_96_neg__0__equal__iff__equal, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: ((((zero_zero @ A) = ((uminus_uminus @ A) @ A2)) = ((zero_zero @ A) = A2)))))))).
% 2.60/1.47 thf(fact_97_add_Oinverse__neutral, axiom, (! [A:$tType]: (((group_add @ A) => (((uminus_uminus @ A) @ (zero_zero @ A)) = (zero_zero @ A)))))).
% 2.60/1.47 thf(fact_98_diff__self, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((minus_minus @ A) @ A2) @ A2) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_99_diff__0__right, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((minus_minus @ A) @ A2) @ (zero_zero @ A)) = A2))))))).
% 2.60/1.47 thf(fact_100_zero__diff, axiom, (! [A:$tType]: (((comm_monoid_diff @ A) => (! [A2:A]: (((((minus_minus @ A) @ (zero_zero @ A)) @ A2) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_101_diff__zero, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A]: (((((minus_minus @ A) @ A2) @ (zero_zero @ A)) = A2))))))).
% 2.60/1.47 thf(fact_102_cancel__comm__monoid__add__class_Odiff__cancel, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A]: (((((minus_minus @ A) @ A2) @ A2) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_103_minus__diff__eq, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: ((((uminus_uminus @ A) @ (((minus_minus @ A) @ A2) @ B2)) = (((minus_minus @ A) @ B2) @ A2)))))))).
% 2.60/1.47 thf(fact_104_tt_I1_J, axiom, (((ord_less @ real) @ (zero_zero @ real)) @ tt)).
% 2.60/1.47 thf(fact_105_local_Orev_Omem__existence__ivl__iv__defined_I2_J, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ a) @ X0) @ x))))).
% 2.60/1.47 thf(fact_106_rev_Oflow0__defined, axiom, (! [Xa:real,X0:a]: (((((member @ real) @ Xa) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ Xa)) @ x))))).
% 2.60/1.47 thf(fact_107_local_Orev_Oflow__in__domain, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ a) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T)) @ x))))).
% 2.60/1.47 thf(fact_108_local_Orev_Omem__existence__ivl__iv__defined_I1_J, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_109_local_Orev_Oexistence__ivl__initial__time__iff, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) = ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))))).
% 2.60/1.47 thf(fact_110_local_Omem__existence__ivl__iv__defined_I1_J, axiom, (! [T:real,X0:a]: (((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))))).
% 2.60/1.47 thf(fact_111_local_Oexistence__ivl__initial__time__iff, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) = ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))))).
% 2.60/1.47 thf(fact_112_local_Orev_Oflow__initial__time, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (zero_zero @ real)) = X0)))))).
% 2.60/1.47 thf(fact_113_local_Oflow__initial__time, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (zero_zero @ real)) = X0)))))).
% 2.60/1.47 thf(fact_114_rev_Ogeneral_Oexistence__ivl__initial__time__iff, axiom, (! [T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T0) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) = ((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))))).
% 2.60/1.47 thf(fact_115_general_Oexistence__ivl__initial__time__iff, axiom, (! [T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ T0) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) = ((((member @ real) @ T0) @ (top_top @ (set @ real))) & (((member @ a) @ X0) @ x)))))).
% 2.60/1.47 thf(fact_116_rev_Ogeneral_Oflow__initial__time, axiom, (! [T0:real,X0:a]: (((((member @ real) @ T0) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = X0)))))).
% 2.60/1.47 thf(fact_117_general_Oflow__initial__time, axiom, (! [T0:real,X0:a]: (((((member @ real) @ T0) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T0) @ T0)) = X0)))))).
% 2.60/1.47 thf(fact_118_zero__reorient, axiom, (! [A:$tType]: (((zero @ A) => (! [X:A]: ((((zero_zero @ A) = X) = (X = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_119_minus__equation__iff, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((uminus_uminus @ A) @ A2) = B2) = (((uminus_uminus @ A) @ B2) = A2)))))))).
% 2.60/1.47 thf(fact_120_equation__minus__iff, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((A2 = ((uminus_uminus @ A) @ B2)) = (B2 = ((uminus_uminus @ A) @ A2))))))))).
% 2.60/1.47 thf(fact_121_verit__negate__coefficient_I3_J, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A]: (((A2 = B2) => (((uminus_uminus @ A) @ A2) = ((uminus_uminus @ A) @ B2))))))))).
% 2.60/1.47 thf(fact_122_diff__eq__diff__eq, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A,D:A]: ((((((minus_minus @ A) @ A2) @ B2) = (((minus_minus @ A) @ C) @ D)) => ((A2 = B2) = (C = D))))))))).
% 2.60/1.47 thf(fact_123_cancel__ab__semigroup__add__class_Odiff__right__commute, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [A2:A,C:A,B2:A]: (((((minus_minus @ A) @ (((minus_minus @ A) @ A2) @ C)) @ B2) = (((minus_minus @ A) @ (((minus_minus @ A) @ A2) @ B2)) @ C)))))))).
% 2.60/1.47 thf(fact_124_eq__iff__diff__eq__0, axiom, (! [A:$tType]: (((group_add @ A) => ((^ [Y3:A,Z:A]: ((Y3 = Z))) = (^ [A4:A,B3:A]: (((((minus_minus @ A) @ A4) @ B3) = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_125_minus__diff__commute, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [B2:A,A2:A]: (((((minus_minus @ A) @ ((uminus_uminus @ A) @ B2)) @ A2) = (((minus_minus @ A) @ ((uminus_uminus @ A) @ A2)) @ B2)))))))).
% 2.60/1.47 thf(fact_126_rev_Oclosed__orbit__period__zero__fixed__point, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => ((((((period1153813292period @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (zero_zero @ real)) => ((((uminus_uminus @ (a > a)) @ f) @ X) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_127_closed__orbit__period__zero__fixed__point, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => ((((((period1153813292period @ a) @ f) @ x) @ X) = (zero_zero @ real)) => ((f @ X) = (zero_zero @ a))))))).
% 2.60/1.47 thf(fact_128_rev_Operiodic__orbit__period_I2_J, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ ((((period1153813292period @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)) = X))))).
% 2.60/1.47 thf(fact_129_periodic__orbit__period_I2_J, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ f) @ x) @ X) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ ((((period1153813292period @ a) @ f) @ x) @ X)) = X))))).
% 2.60/1.47 thf(fact_130_rev_Ofixed__point__imp__closed__orbit__period__zero_I2_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((((uminus_uminus @ (a > a)) @ f) @ X) = (zero_zero @ a)) => (((((period1153813292period @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (zero_zero @ real))))))).
% 2.60/1.47 thf(fact_131_fixed__point__imp__closed__orbit__period__zero_I2_J, axiom, (! [X:a]: (((((member @ a) @ X) @ x) => (((f @ X) = (zero_zero @ a)) => (((((period1153813292period @ a) @ f) @ x) @ X) = (zero_zero @ real))))))).
% 2.60/1.47 thf(fact_132_local_Orev_Oexistence__ivl__notempty, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) != (bot_bot @ (set @ real)))))))).
% 2.60/1.47 thf(fact_133_local_Oexistence__ivl__notempty, axiom, (! [X0:a]: (((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))) => ((((member @ a) @ X0) @ x) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0) != (bot_bot @ (set @ real)))))))).
% 2.60/1.47 thf(fact_134_rev_Ogeneral_Oexistence__ivl__trans, axiom, (! [S:real,T0:real,X0:a,T:real]: (((((member @ real) @ (((minus_minus @ real) @ S) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0)))) => (((member @ real) @ (((minus_minus @ real) @ (((plus_plus @ real) @ S) @ T)) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_135_i2_I2_J, axiom, (((ord_less @ real) @ (zero_zero @ real)) @ i1)).
% 2.60/1.47 thf(fact_136_add__right__cancel, axiom, (! [A:$tType]: (((cancel_semigroup_add @ A) => (! [B2:A,A2:A,C:A]: ((((((plus_plus @ A) @ B2) @ A2) = (((plus_plus @ A) @ C) @ A2)) = (B2 = C)))))))).
% 2.60/1.47 thf(fact_137_add__left__cancel, axiom, (! [A:$tType]: (((cancel_semigroup_add @ A) => (! [A2:A,B2:A,C:A]: ((((((plus_plus @ A) @ A2) @ B2) = (((plus_plus @ A) @ A2) @ C)) = (B2 = C)))))))).
% 2.60/1.47 thf(fact_138_d, axiom, (((ord_less @ real) @ (zero_zero @ real)) @ d)).
% 2.60/1.47 thf(fact_139_local_Oflow__trans, axiom, (! [S:real,X0:a,T:real]: (((((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ S))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((plus_plus @ real) @ S) @ T)) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ S)) @ T))))))).
% 2.60/1.47 thf(fact_140_local_Oexistence__ivl__trans_H, axiom, (! [T:real,S:real,X0:a]: (((((member @ real) @ (((plus_plus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ T)))))))).
% 2.60/1.47 thf(fact_141_local_Oexistence__ivl__trans, axiom, (! [S:real,X0:a,T:real]: (((((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ S))) => (((member @ real) @ (((plus_plus @ real) @ S) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_142_i2_I3_J, axiom, (((ord_less @ real) @ i1) @ i2)).
% 2.60/1.47 thf(fact_143_local_Orev_Oflow__trans, axiom, (! [S:real,X0:a,T:real]: (((((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ S))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((plus_plus @ real) @ S) @ T)) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ S)) @ T))))))).
% 2.60/1.47 thf(fact_144_local_Orev_Oexistence__ivl__trans_H, axiom, (! [T:real,S:real,X0:a]: (((((member @ real) @ (((plus_plus @ real) @ T) @ S)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ T)))))))).
% 2.60/1.47 thf(fact_145_local_Orev_Oexistence__ivl__trans, axiom, (! [S:real,X0:a,T:real]: (((((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ S))) => (((member @ real) @ (((plus_plus @ real) @ S) @ T)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_146_general_Oflow__trans, axiom, (! [S:real,T0:real,X0:a,T:real]: (((((member @ real) @ (((minus_minus @ real) @ S) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0)))) => ((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ (((plus_plus @ real) @ S) @ T)) @ T0)) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0))) @ T))))))).
% 2.60/1.47 thf(fact_147_general_Oexistence__ivl__trans_H, axiom, (! [T:real,S:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ (((plus_plus @ real) @ T) @ S)) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => (((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))))))))).
% 2.60/1.47 thf(fact_148_general_Oexistence__ivl__trans, axiom, (! [S:real,T0:real,X0:a,T:real]: (((((member @ real) @ (((minus_minus @ real) @ S) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0)))) => (((member @ real) @ (((minus_minus @ real) @ (((plus_plus @ real) @ S) @ T)) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0))))))).
% 2.60/1.47 thf(fact_149_periodic__orbit__period_I1_J, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ f) @ x) @ X) => (((ord_less @ real) @ (zero_zero @ real)) @ ((((period1153813292period @ a) @ f) @ x) @ X)))))).
% 2.60/1.47 thf(fact_150_rev_Ogeneral_Oflow__trans, axiom, (! [S:real,T0:real,X0:a,T:real]: (((((member @ real) @ (((minus_minus @ real) @ S) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ T) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0)))) => ((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ (((plus_plus @ real) @ S) @ T)) @ T0)) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ S) @ T0))) @ T))))))).
% 2.60/1.47 thf(fact_151_rev_Ogeneral_Oexistence__ivl__trans_H, axiom, (! [T:real,S:real,T0:real,X0:a]: (((((member @ real) @ (((minus_minus @ real) @ (((plus_plus @ real) @ T) @ S)) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => ((((member @ real) @ (((minus_minus @ real) @ T) @ T0)) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0)) => (((member @ real) @ S) @ ((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) @ (((minus_minus @ real) @ T) @ T0))))))))).
% 2.60/1.47 thf(fact_152_not__gr__zero, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [N:A]: (((~ ((((ord_less @ A) @ (zero_zero @ A)) @ N))) = (N = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_153_add_Oleft__neutral, axiom, (! [A:$tType]: (((monoid_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ (zero_zero @ A)) @ A2) = A2))))))).
% 2.60/1.47 thf(fact_154_add_Oright__neutral, axiom, (! [A:$tType]: (((monoid_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ A2) @ (zero_zero @ A)) = A2))))))).
% 2.60/1.47 thf(fact_155_linordered__ab__group__add__class_Odouble__zero, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: ((((((plus_plus @ A) @ A2) @ A2) = (zero_zero @ A)) = (A2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_156_double__zero__sym, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: ((((zero_zero @ A) = (((plus_plus @ A) @ A2) @ A2)) = (A2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_157_add__cancel__left__left, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [B2:A,A2:A]: ((((((plus_plus @ A) @ B2) @ A2) = A2) = (B2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_158_add__cancel__left__right, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A,B2:A]: ((((((plus_plus @ A) @ A2) @ B2) = A2) = (B2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_159_add__cancel__right__left, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A,B2:A]: (((A2 = (((plus_plus @ A) @ B2) @ A2)) = (B2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_160_add__cancel__right__right, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A,B2:A]: (((A2 = (((plus_plus @ A) @ A2) @ B2)) = (B2 = (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_161_add__eq__0__iff__both__eq__0, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [X:A,Y2:A]: ((((((plus_plus @ A) @ X) @ Y2) = (zero_zero @ A)) = ((X = (zero_zero @ A)) & (Y2 = (zero_zero @ A)))))))))).
% 2.60/1.47 thf(fact_162_zero__eq__add__iff__both__eq__0, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [X:A,Y2:A]: ((((zero_zero @ A) = (((plus_plus @ A) @ X) @ Y2)) = ((X = (zero_zero @ A)) & (Y2 = (zero_zero @ A)))))))))).
% 2.60/1.47 thf(fact_163_neg__less__iff__less, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [B2:A,A2:A]: (((((ord_less @ A) @ ((uminus_uminus @ A) @ B2)) @ ((uminus_uminus @ A) @ A2)) = (((ord_less @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_164_closed__orbitE, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ f) @ x) @ X) => (~ ((! [T5:real]: (((((ord_less @ real) @ (zero_zero @ real)) @ T5) => (~ ((! [T6:real]: (((((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ (((plus_plus @ real) @ T6) @ T5)) = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ X) @ T6))))))))))))))).
% 2.60/1.47 thf(fact_165_add__less__cancel__right, axiom, (! [A:$tType]: (((ordere236663937imp_le @ A) => (! [A2:A,C:A,B2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ A2) @ C)) @ (((plus_plus @ A) @ B2) @ C)) = (((ord_less @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_166_add__less__cancel__left, axiom, (! [A:$tType]: (((ordere236663937imp_le @ A) => (! [C:A,A2:A,B2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ C) @ A2)) @ (((plus_plus @ A) @ C) @ B2)) = (((ord_less @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_167_add__minus__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((plus_plus @ A) @ A2) @ (((plus_plus @ A) @ ((uminus_uminus @ A) @ A2)) @ B2)) = B2))))))).
% 2.60/1.47 thf(fact_168_minus__add__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((plus_plus @ A) @ ((uminus_uminus @ A) @ A2)) @ (((plus_plus @ A) @ A2) @ B2)) = B2))))))).
% 2.60/1.47 thf(fact_169_minus__add__distrib, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [A2:A,B2:A]: ((((uminus_uminus @ A) @ (((plus_plus @ A) @ A2) @ B2)) = (((plus_plus @ A) @ ((uminus_uminus @ A) @ A2)) @ ((uminus_uminus @ A) @ B2))))))))).
% 2.60/1.47 thf(fact_170_add__diff__cancel__right_H, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [A2:A,B2:A]: (((((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ B2) = A2))))))).
% 2.60/1.47 thf(fact_171_add__diff__cancel__right, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [A2:A,C:A,B2:A]: (((((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ C)) @ (((plus_plus @ A) @ B2) @ C)) = (((minus_minus @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_172_add__diff__cancel__left_H, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [A2:A,B2:A]: (((((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ A2) = B2))))))).
% 2.60/1.47 thf(fact_173_add__diff__cancel__left, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [C:A,A2:A,B2:A]: (((((minus_minus @ A) @ (((plus_plus @ A) @ C) @ A2)) @ (((plus_plus @ A) @ C) @ B2)) = (((minus_minus @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_174_diff__add__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((plus_plus @ A) @ (((minus_minus @ A) @ A2) @ B2)) @ B2) = A2))))))).
% 2.60/1.47 thf(fact_175_add__diff__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ B2) = A2))))))).
% 2.60/1.47 thf(fact_176_rev_Operiodic__orbit__period_I1_J, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => (((ord_less @ real) @ (zero_zero @ real)) @ ((((period1153813292period @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X)))))).
% 2.60/1.47 thf(fact_177_periodic__orbit__def, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ f) @ x) @ X) = (((((period385816147_orbit @ a) @ f) @ x) @ X) & (((ord_less @ real) @ (zero_zero @ real)) @ ((((period1153813292period @ a) @ f) @ x) @ X))))))).
% 2.60/1.47 thf(fact_178_tt_I2_J, axiom, (((ord_less @ real) @ tt) @ d)).
% 2.60/1.47 thf(fact_179_rev_Oclosed__orbitE, axiom, (! [X:a]: ((((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) => (~ ((! [T5:real]: (((((ord_less @ real) @ (zero_zero @ real)) @ T5) => (~ ((! [T6:real]: (((((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ (((plus_plus @ real) @ T6) @ T5)) = (((((auto_ll_on_flow0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) @ T6))))))))))))))).
% 2.60/1.47 thf(fact_180_rev_Operiodic__orbit__def, axiom, (! [X:a]: ((((((period862636932_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) = (((((period385816147_orbit @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X) & (((ord_less @ real) @ (zero_zero @ real)) @ ((((period1153813292period @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X))))))).
% 2.60/1.47 thf(fact_181_less__neg__neg, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((((ord_less @ A) @ A2) @ ((uminus_uminus @ A) @ A2)) = (((ord_less @ A) @ A2) @ (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_182_neg__less__pos, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((((ord_less @ A) @ ((uminus_uminus @ A) @ A2)) @ A2) = (((ord_less @ A) @ (zero_zero @ A)) @ A2)))))))).
% 2.60/1.47 thf(fact_183_neg__0__less__iff__less, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ ((uminus_uminus @ A) @ A2)) = (((ord_less @ A) @ A2) @ (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_184_neg__less__0__iff__less, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A]: (((((ord_less @ A) @ ((uminus_uminus @ A) @ A2)) @ (zero_zero @ A)) = (((ord_less @ A) @ (zero_zero @ A)) @ A2)))))))).
% 2.60/1.47 thf(fact_185_add__less__same__cancel1, axiom, (! [A:$tType]: (((ordere516151231imp_le @ A) => (! [B2:A,A2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ B2) @ A2)) @ B2) = (((ord_less @ A) @ A2) @ (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_186_add__less__same__cancel2, axiom, (! [A:$tType]: (((ordere516151231imp_le @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ B2) = (((ord_less @ A) @ A2) @ (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_187_less__add__same__cancel1, axiom, (! [A:$tType]: (((ordere516151231imp_le @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ (((plus_plus @ A) @ A2) @ B2)) = (((ord_less @ A) @ (zero_zero @ A)) @ B2)))))))).
% 2.60/1.47 thf(fact_188_less__add__same__cancel2, axiom, (! [A:$tType]: (((ordere516151231imp_le @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ (((plus_plus @ A) @ B2) @ A2)) = (((ord_less @ A) @ (zero_zero @ A)) @ B2)))))))).
% 2.60/1.47 thf(fact_189_double__add__less__zero__iff__single__add__less__zero, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ A2) @ A2)) @ (zero_zero @ A)) = (((ord_less @ A) @ A2) @ (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_190_linordered__ab__group__add__class_Ozero__less__double__add__iff__zero__less__single__add, axiom, (! [A:$tType]: (((linord219039673up_add @ A) => (! [A2:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ (((plus_plus @ A) @ A2) @ A2)) = (((ord_less @ A) @ (zero_zero @ A)) @ A2)))))))).
% 2.60/1.47 thf(fact_191_diff__gt__0__iff__gt, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ (((minus_minus @ A) @ A2) @ B2)) = (((ord_less @ A) @ B2) @ A2)))))))).
% 2.60/1.47 thf(fact_192_add_Oleft__inverse, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ ((uminus_uminus @ A) @ A2)) @ A2) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_193_add_Oright__inverse, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ A2) @ ((uminus_uminus @ A) @ A2)) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_194_diff__add__zero, axiom, (! [A:$tType]: (((comm_monoid_diff @ A) => (! [A2:A,B2:A]: (((((minus_minus @ A) @ A2) @ (((plus_plus @ A) @ A2) @ B2)) = (zero_zero @ A)))))))).
% 2.60/1.47 thf(fact_195_uminus__add__conv__diff, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [A2:A,B2:A]: (((((plus_plus @ A) @ ((uminus_uminus @ A) @ A2)) @ B2) = (((minus_minus @ A) @ B2) @ A2)))))))).
% 2.60/1.47 thf(fact_196_diff__minus__eq__add, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: (((((minus_minus @ A) @ A2) @ ((uminus_uminus @ A) @ B2)) = (((plus_plus @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_197_local_Oexistence__ivl__undefined, axiom, (! [X0:a]: (((~ ((((member @ a) @ X0) @ x))) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0) = (bot_bot @ (set @ real))))))).
% 2.60/1.47 thf(fact_198_local_Orev_Oexistence__ivl__undefined, axiom, (! [X0:a]: (((~ ((((member @ a) @ X0) @ x))) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) = (bot_bot @ (set @ real))))))).
% 2.60/1.47 thf(fact_199_local_Oexistence__ivl__empty__iff, axiom, (! [X0:a]: (((((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0) = (bot_bot @ (set @ real))) = ((~ ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))) | (~ ((((member @ a) @ X0) @ x)))))))).
% 2.60/1.47 thf(fact_200_local_Oexistence__ivl__empty1, axiom, (! [X0:a]: (((~ ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))) => (((((auto_l1112008849e_ivl0 @ a) @ f) @ x) @ X0) = (bot_bot @ (set @ real))))))).
% 2.60/1.47 thf(fact_201_local_Orev_Oexistence__ivl__empty__iff, axiom, (! [X0:a]: (((((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) = (bot_bot @ (set @ real))) = ((~ ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))) | (~ ((((member @ a) @ X0) @ x)))))))).
% 2.60/1.47 thf(fact_202_local_Orev_Oexistence__ivl__empty1, axiom, (! [X0:a]: (((~ ((((member @ real) @ (zero_zero @ real)) @ (top_top @ (set @ real))))) => (((((auto_l1112008849e_ivl0 @ a) @ ((uminus_uminus @ (a > a)) @ f)) @ x) @ X0) = (bot_bot @ (set @ real))))))).
% 2.60/1.47 thf(fact_203_add__neg__neg, axiom, (! [A:$tType]: (((ordere216010020id_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ (zero_zero @ A)) => ((((ord_less @ A) @ B2) @ (zero_zero @ A)) => (((ord_less @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ (zero_zero @ A)))))))))).
% 2.60/1.47 thf(fact_204_add__pos__pos, axiom, (! [A:$tType]: (((ordere216010020id_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ A2) => ((((ord_less @ A) @ (zero_zero @ A)) @ B2) => (((ord_less @ A) @ (zero_zero @ A)) @ (((plus_plus @ A) @ A2) @ B2)))))))))).
% 2.60/1.47 thf(fact_205_canonically__ordered__monoid__add__class_OlessE, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ B2) => (~ ((! [C2:A]: (((B2 = (((plus_plus @ A) @ A2) @ C2)) => (C2 = (zero_zero @ A)))))))))))))).
% 2.60/1.47 thf(fact_206_pos__add__strict, axiom, (! [A:$tType]: (((strict797366125id_add @ A) => (! [A2:A,B2:A,C:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ A2) => ((((ord_less @ A) @ B2) @ C) => (((ord_less @ A) @ B2) @ (((plus_plus @ A) @ A2) @ C)))))))))).
% 2.60/1.47 thf(fact_207_add__less__imp__less__right, axiom, (! [A:$tType]: (((ordere236663937imp_le @ A) => (! [A2:A,C:A,B2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ A2) @ C)) @ (((plus_plus @ A) @ B2) @ C)) => (((ord_less @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_208_add__less__imp__less__left, axiom, (! [A:$tType]: (((ordere236663937imp_le @ A) => (! [C:A,A2:A,B2:A]: (((((ord_less @ A) @ (((plus_plus @ A) @ C) @ A2)) @ (((plus_plus @ A) @ C) @ B2)) => (((ord_less @ A) @ A2) @ B2)))))))).
% 2.60/1.47 thf(fact_209_add__strict__right__mono, axiom, (! [A:$tType]: (((ordere223160158up_add @ A) => (! [A2:A,B2:A,C:A]: (((((ord_less @ A) @ A2) @ B2) => (((ord_less @ A) @ (((plus_plus @ A) @ A2) @ C)) @ (((plus_plus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_210_add__strict__left__mono, axiom, (! [A:$tType]: (((ordere223160158up_add @ A) => (! [A2:A,B2:A,C:A]: (((((ord_less @ A) @ A2) @ B2) => (((ord_less @ A) @ (((plus_plus @ A) @ C) @ A2)) @ (((plus_plus @ A) @ C) @ B2))))))))).
% 2.60/1.47 thf(fact_211_add__strict__mono, axiom, (! [A:$tType]: (((strict2144017051up_add @ A) => (! [A2:A,B2:A,C:A,D:A]: (((((ord_less @ A) @ A2) @ B2) => ((((ord_less @ A) @ C) @ D) => (((ord_less @ A) @ (((plus_plus @ A) @ A2) @ C)) @ (((plus_plus @ A) @ B2) @ D)))))))))).
% 2.60/1.47 thf(fact_212_add__right__imp__eq, axiom, (! [A:$tType]: (((cancel_semigroup_add @ A) => (! [B2:A,A2:A,C:A]: ((((((plus_plus @ A) @ B2) @ A2) = (((plus_plus @ A) @ C) @ A2)) => (B2 = C)))))))).
% 2.60/1.47 thf(fact_213_add__left__imp__eq, axiom, (! [A:$tType]: (((cancel_semigroup_add @ A) => (! [A2:A,B2:A,C:A]: ((((((plus_plus @ A) @ A2) @ B2) = (((plus_plus @ A) @ A2) @ C)) => (B2 = C)))))))).
% 2.60/1.47 thf(fact_214_less__diff__eq, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,C:A,B2:A]: (((((ord_less @ A) @ A2) @ (((minus_minus @ A) @ C) @ B2)) = (((ord_less @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ C)))))))).
% 2.60/1.47 thf(fact_215_diff__less__eq, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A,C:A]: (((((ord_less @ A) @ (((minus_minus @ A) @ A2) @ B2)) @ C) = (((ord_less @ A) @ A2) @ (((plus_plus @ A) @ C) @ B2))))))))).
% 2.60/1.47 thf(fact_216_add_Oleft__commute, axiom, (! [A:$tType]: (((ab_semigroup_add @ A) => (! [B2:A,A2:A,C:A]: (((((plus_plus @ A) @ B2) @ (((plus_plus @ A) @ A2) @ C)) = (((plus_plus @ A) @ A2) @ (((plus_plus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_217_add_Ocommute, axiom, (! [A:$tType]: (((ab_semigroup_add @ A) => ((plus_plus @ A) = (^ [A4:A,B3:A]: ((((plus_plus @ A) @ B3) @ A4)))))))).
% 2.60/1.47 thf(fact_218_add_Oright__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [B2:A,A2:A,C:A]: ((((((plus_plus @ A) @ B2) @ A2) = (((plus_plus @ A) @ C) @ A2)) = (B2 = C)))))))).
% 2.60/1.47 thf(fact_219_add_Oleft__cancel, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A]: ((((((plus_plus @ A) @ A2) @ B2) = (((plus_plus @ A) @ A2) @ C)) = (B2 = C)))))))).
% 2.60/1.47 thf(fact_220_add_Oassoc, axiom, (! [A:$tType]: (((semigroup_add @ A) => (! [A2:A,B2:A,C:A]: (((((plus_plus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ C) = (((plus_plus @ A) @ A2) @ (((plus_plus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_221_group__cancel_Oadd2, axiom, (! [A:$tType]: (((comm_monoid_add @ A) => (! [B4:A,K:A,B2:A,A2:A]: (((B4 = (((plus_plus @ A) @ K) @ B2)) => ((((plus_plus @ A) @ A2) @ B4) = (((plus_plus @ A) @ K) @ (((plus_plus @ A) @ A2) @ B2)))))))))).
% 2.60/1.47 thf(fact_222_group__cancel_Oadd1, axiom, (! [A:$tType]: (((comm_monoid_add @ A) => (! [A3:A,K:A,A2:A,B2:A]: (((A3 = (((plus_plus @ A) @ K) @ A2)) => ((((plus_plus @ A) @ A3) @ B2) = (((plus_plus @ A) @ K) @ (((plus_plus @ A) @ A2) @ B2)))))))))).
% 2.60/1.47 thf(fact_223_add__mono__thms__linordered__semiring_I4_J, axiom, (! [A:$tType]: (((ordere779506340up_add @ A) => (! [I:A,J:A,K:A,L:A]: ((((I = J) & (K = L)) => ((((plus_plus @ A) @ I) @ K) = (((plus_plus @ A) @ J) @ L))))))))).
% 2.60/1.47 thf(fact_224_add__mono__thms__linordered__field_I1_J, axiom, (! [A:$tType]: (((ordere223160158up_add @ A) => (! [I:A,J:A,K:A,L:A]: ((((((ord_less @ A) @ I) @ J) & (K = L)) => (((ord_less @ A) @ (((plus_plus @ A) @ I) @ K)) @ (((plus_plus @ A) @ J) @ L))))))))).
% 2.60/1.47 thf(fact_225_add__mono__thms__linordered__field_I2_J, axiom, (! [A:$tType]: (((ordere223160158up_add @ A) => (! [I:A,J:A,K:A,L:A]: ((((I = J) & (((ord_less @ A) @ K) @ L)) => (((ord_less @ A) @ (((plus_plus @ A) @ I) @ K)) @ (((plus_plus @ A) @ J) @ L))))))))).
% 2.60/1.47 thf(fact_226_add__mono__thms__linordered__field_I5_J, axiom, (! [A:$tType]: (((ordere223160158up_add @ A) => (! [I:A,J:A,K:A,L:A]: ((((((ord_less @ A) @ I) @ J) & (((ord_less @ A) @ K) @ L)) => (((ord_less @ A) @ (((plus_plus @ A) @ I) @ K)) @ (((plus_plus @ A) @ J) @ L))))))))).
% 2.60/1.47 thf(fact_227_ab__semigroup__add__class_Oadd__ac_I1_J, axiom, (! [A:$tType]: (((ab_semigroup_add @ A) => (! [A2:A,B2:A,C:A]: (((((plus_plus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ C) = (((plus_plus @ A) @ A2) @ (((plus_plus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_228_verit__comp__simplify1_I1_J, axiom, (! [A:$tType]: (((order @ A) => (! [A2:A]: ((~ ((((ord_less @ A) @ A2) @ A2))))))))).
% 2.60/1.47 thf(fact_229_gr__zeroI, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [N:A]: (((N != (zero_zero @ A)) => (((ord_less @ A) @ (zero_zero @ A)) @ N)))))))).
% 2.60/1.47 thf(fact_230_not__less__zero, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [N:A]: ((~ ((((ord_less @ A) @ N) @ (zero_zero @ A)))))))))).
% 2.60/1.47 thf(fact_231_gr__implies__not__zero, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [M:A,N:A]: (((((ord_less @ A) @ M) @ N) => (N != (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_232_zero__less__iff__neq__zero, axiom, (! [A:$tType]: (((canoni770627133id_add @ A) => (! [N:A]: (((((ord_less @ A) @ (zero_zero @ A)) @ N) = (N != (zero_zero @ A))))))))).
% 2.60/1.47 thf(fact_233_verit__sum__simplify, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ A2) @ (zero_zero @ A)) = A2))))))).
% 2.60/1.47 thf(fact_234_comm__monoid__add__class_Oadd__0, axiom, (! [A:$tType]: (((comm_monoid_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ (zero_zero @ A)) @ A2) = A2))))))).
% 2.60/1.47 thf(fact_235_add_Ocomm__neutral, axiom, (! [A:$tType]: (((comm_monoid_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ A2) @ (zero_zero @ A)) = A2))))))).
% 2.60/1.47 thf(fact_236_add_Ogroup__left__neutral, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A]: (((((plus_plus @ A) @ (zero_zero @ A)) @ A2) = A2))))))).
% 2.60/1.47 thf(fact_237_verit__negate__coefficient_I2_J, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ B2) => (((ord_less @ A) @ ((uminus_uminus @ A) @ B2)) @ ((uminus_uminus @ A) @ A2))))))))).
% 2.60/1.47 thf(fact_238_less__minus__iff, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ A2) @ ((uminus_uminus @ A) @ B2)) = (((ord_less @ A) @ B2) @ ((uminus_uminus @ A) @ A2))))))))).
% 2.60/1.47 thf(fact_239_minus__less__iff, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A]: (((((ord_less @ A) @ ((uminus_uminus @ A) @ A2)) @ B2) = (((ord_less @ A) @ ((uminus_uminus @ A) @ B2)) @ A2)))))))).
% 2.60/1.47 thf(fact_240_diff__strict__right__mono, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A,C:A]: (((((ord_less @ A) @ A2) @ B2) => (((ord_less @ A) @ (((minus_minus @ A) @ A2) @ C)) @ (((minus_minus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_241_diff__strict__left__mono, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [B2:A,A2:A,C:A]: (((((ord_less @ A) @ B2) @ A2) => (((ord_less @ A) @ (((minus_minus @ A) @ C) @ A2)) @ (((minus_minus @ A) @ C) @ B2))))))))).
% 2.60/1.47 thf(fact_242_diff__eq__diff__less, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A,C:A,D:A]: ((((((minus_minus @ A) @ A2) @ B2) = (((minus_minus @ A) @ C) @ D)) => ((((ord_less @ A) @ A2) @ B2) = (((ord_less @ A) @ C) @ D))))))))).
% 2.60/1.47 thf(fact_243_diff__strict__mono, axiom, (! [A:$tType]: (((ordered_ab_group_add @ A) => (! [A2:A,B2:A,D:A,C:A]: (((((ord_less @ A) @ A2) @ B2) => ((((ord_less @ A) @ D) @ C) => (((ord_less @ A) @ (((minus_minus @ A) @ A2) @ C)) @ (((minus_minus @ A) @ B2) @ D)))))))))).
% 2.60/1.47 thf(fact_244_group__cancel_Oneg1, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [A3:A,K:A,A2:A]: (((A3 = (((plus_plus @ A) @ K) @ A2)) => (((uminus_uminus @ A) @ A3) = (((plus_plus @ A) @ ((uminus_uminus @ A) @ K)) @ ((uminus_uminus @ A) @ A2)))))))))).
% 2.60/1.47 thf(fact_245_add_Oinverse__distrib__swap, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A]: ((((uminus_uminus @ A) @ (((plus_plus @ A) @ A2) @ B2)) = (((plus_plus @ A) @ ((uminus_uminus @ A) @ B2)) @ ((uminus_uminus @ A) @ A2))))))))).
% 2.60/1.47 thf(fact_246_add__implies__diff, axiom, (! [A:$tType]: (((cancel1352612707id_add @ A) => (! [C:A,B2:A,A2:A]: ((((((plus_plus @ A) @ C) @ B2) = A2) => (C = (((minus_minus @ A) @ A2) @ B2))))))))).
% 2.60/1.47 thf(fact_247_diff__diff__add, axiom, (! [A:$tType]: (((cancel146912293up_add @ A) => (! [A2:A,B2:A,C:A]: (((((minus_minus @ A) @ (((minus_minus @ A) @ A2) @ B2)) @ C) = (((minus_minus @ A) @ A2) @ (((plus_plus @ A) @ B2) @ C))))))))).
% 2.60/1.47 thf(fact_248_diff__add__eq__diff__diff__swap, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A]: (((((minus_minus @ A) @ A2) @ (((plus_plus @ A) @ B2) @ C)) = (((minus_minus @ A) @ (((minus_minus @ A) @ A2) @ C)) @ B2)))))))).
% 2.60/1.47 thf(fact_249_diff__add__eq, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [A2:A,B2:A,C:A]: (((((plus_plus @ A) @ (((minus_minus @ A) @ A2) @ B2)) @ C) = (((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ C)) @ B2)))))))).
% 2.60/1.47 thf(fact_250_diff__diff__eq2, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A]: (((((minus_minus @ A) @ A2) @ (((minus_minus @ A) @ B2) @ C)) = (((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ C)) @ B2)))))))).
% 2.60/1.47 thf(fact_251_add__diff__eq, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A]: (((((plus_plus @ A) @ A2) @ (((minus_minus @ A) @ B2) @ C)) = (((minus_minus @ A) @ (((plus_plus @ A) @ A2) @ B2)) @ C)))))))).
% 2.60/1.47 thf(fact_252_eq__diff__eq, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,C:A,B2:A]: (((A2 = (((minus_minus @ A) @ C) @ B2)) = ((((plus_plus @ A) @ A2) @ B2) = C)))))))).
% 2.60/1.47 thf(fact_253_diff__eq__eq, axiom, (! [A:$tType]: (((group_add @ A) => (! [A2:A,B2:A,C:A]: ((((((minus_minus @ A) @ A2) @ B2) = C) = (A2 = (((plus_plus @ A) @ C) @ B2))))))))).
% 2.60/1.47 thf(fact_254_group__cancel_Osub1, axiom, (! [A:$tType]: (((ab_group_add @ A) => (! [A3:A,K:A,A2:A,B2:A]: (((A3 = (((plus_plus @ A) @ K) @ A2)) => ((((minus_minus @ A) @ A3) @ B2) = (((plus_plus @ A) @ K) @ (((minus_minus @ A) @ A2) @ B2)))))))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___HOL_Otype, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (type @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ozero, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (zero @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Orderings_Oorder, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (order @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ogroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (group_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Omonoid__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (monoid_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__group__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ab_group_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Osemigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (semigroup_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocomm__monoid__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (comm_monoid_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ab_semigroup_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (cancel_semigroup_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__group__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordered_ab_group_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__comm__monoid__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (cancel1352612707id_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__ab__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (cancel146912293up_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__comm__monoid__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordere216010020id_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordere779506340up_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__comm__monoid__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (strict797366125id_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add__imp__le, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordere236663937imp_le @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__cancel__ab__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordere223160158up_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__ab__semigroup__add, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (strict2144017051up_add @ A))))).
% 2.60/1.47 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__monoid__add__imp__le, axiom, (! [A:$tType]: (((execut510477386_space @ A) => (ordere516151231imp_le @ A))))).
% 2.60/1.47 thf(tcon_fun___Orderings_Oorder, axiom, (! [A5:$tType,A6:$tType]: (((order @ A6) => (order @ (A5 > A6)))))).
% 2.60/1.47 thf(tcon_Set_Oset___Groups_Oab__semigroup__add, axiom, (! [A5:$tType]: (((ab_semigroup_add @ A5) => (ab_semigroup_add @ (set @ A5)))))).
% 2.60/1.47 thf(tcon_Set_Oset___Groups_Ocomm__monoid__add, axiom, (! [A5:$tType]: (((comm_monoid_add @ A5) => (comm_monoid_add @ (set @ A5)))))).
% 2.60/1.47 thf(tcon_Set_Oset___Groups_Osemigroup__add, axiom, (! [A5:$tType]: (((semigroup_add @ A5) => (semigroup_add @ (set @ A5)))))).
% 2.60/1.47 thf(tcon_Set_Oset___Groups_Omonoid__add, axiom, (! [A5:$tType]: (((monoid_add @ A5) => (monoid_add @ (set @ A5)))))).
% 2.60/1.47 thf(tcon_Set_Oset___Orderings_Oorder_1, axiom, (! [A5:$tType]: ((order @ (set @ A5))))).
% 2.60/1.47 thf(tcon_Set_Oset___Groups_Ozero, axiom, (! [A5:$tType]: (((zero @ A5) => (zero @ (set @ A5)))))).
% 2.60/1.47 thf(tcon_HOL_Obool___Orderings_Oorder_2, axiom, (order @ $o)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le, axiom, (ordere516151231imp_le @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add, axiom, (strict2144017051up_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add, axiom, (ordere223160158up_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le, axiom, (ordere236663937imp_le @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add, axiom, (strict797366125id_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add, axiom, (ordere779506340up_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__comm__monoid__add, axiom, (ordere216010020id_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Olinordered__ab__group__add, axiom, (linord219039673up_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add, axiom, (cancel146912293up_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add, axiom, (cancel1352612707id_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oordered__ab__group__add, axiom, (ordered_ab_group_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ocancel__semigroup__add, axiom, (cancel_semigroup_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oab__semigroup__add_3, axiom, (ab_semigroup_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ocomm__monoid__add_4, axiom, (comm_monoid_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Osemigroup__add_5, axiom, (semigroup_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Oab__group__add, axiom, (ab_group_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Omonoid__add_6, axiom, (monoid_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ogroup__add, axiom, (group_add @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Orderings_Oorder_7, axiom, (order @ real)).
% 2.60/1.47 thf(tcon_Real_Oreal___Groups_Ozero_8, axiom, (zero @ real)).
% 2.60/1.47 thf(tfree_0, hypothesis, (execut510477386_space @ a)).
% 2.60/1.47 thf(conj_0, conjecture, (xx = (((((auto_ll_on_flow0 @ a) @ f) @ x) @ x2) @ (((minus_minus @ real) @ ss) @ tt)))).
% 2.60/1.47 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2DTF26592.p
% 2.60/1.47 ------------------------
% 2.81/1.50 ---- Cleaned THF ---
% 2.81/1.50 thf(ty_t_Real_Oreal,type,
% 2.81/1.50 real: $tType ).
% 2.81/1.50
% 2.81/1.50 thf(ty_t_Set_Oset,type,
% 2.81/1.50 set: $tType > $tType ).
% 2.81/1.50
% 2.81/1.50 thf(ty_tf_a,type,
% 2.81/1.50 a: $tType ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Executable__Euclidean__Space_Oexecutable__euclidean__space,type,
% 2.81/1.50 execut510477386_space:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_HOL_Otype,type,
% 2.81/1.50 type:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ozero,type,
% 2.81/1.50 zero:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Orderings_Oorder,type,
% 2.81/1.50 order:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ogroup__add,type,
% 2.81/1.50 group_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Omonoid__add,type,
% 2.81/1.50 monoid_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oab__group__add,type,
% 2.81/1.50 ab_group_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Osemigroup__add,type,
% 2.81/1.50 semigroup_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocomm__monoid__add,type,
% 2.81/1.50 comm_monoid_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oab__semigroup__add,type,
% 2.81/1.50 ab_semigroup_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocomm__monoid__diff,type,
% 2.81/1.50 comm_monoid_diff:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocancel__semigroup__add,type,
% 2.81/1.50 cancel_semigroup_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__ab__group__add,type,
% 2.81/1.50 ordered_ab_group_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocancel__comm__monoid__add,type,
% 2.81/1.50 cancel1352612707id_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocancel__ab__semigroup__add,type,
% 2.81/1.50 cancel146912293up_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Olinordered__ab__group__add,type,
% 2.81/1.50 linord219039673up_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__comm__monoid__add,type,
% 2.81/1.50 ordere216010020id_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__ab__semigroup__add,type,
% 2.81/1.50 ordere779506340up_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ocanonically__ordered__monoid__add,type,
% 2.81/1.50 canoni770627133id_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ostrict__ordered__comm__monoid__add,type,
% 2.81/1.50 strict797366125id_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__ab__semigroup__add__imp__le,type,
% 2.81/1.50 ordere236663937imp_le:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__cancel__ab__semigroup__add,type,
% 2.81/1.50 ordere223160158up_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Ostrict__ordered__ab__semigroup__add,type,
% 2.81/1.50 strict2144017051up_add:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_cl_Groups_Oordered__ab__semigroup__monoid__add__imp__le,type,
% 2.81/1.50 ordere516151231imp_le:
% 2.81/1.50 !>[A: $tType] : $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Flow_Oauto__ll__on__open_Oexistence__ivl0,type,
% 2.81/1.50 auto_l1112008849e_ivl0:
% 2.81/1.50 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > ( set @ real ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Flow_Oauto__ll__on__open_Oflow0,type,
% 2.81/1.50 auto_ll_on_flow0:
% 2.81/1.50 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > real > A ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Groups_Ominus__class_Ominus,type,
% 2.81/1.50 minus_minus:
% 2.81/1.50 !>[A: $tType] : ( A > A > A ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Groups_Oplus__class_Oplus,type,
% 2.81/1.50 plus_plus:
% 2.81/1.50 !>[A: $tType] : ( A > A > A ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Groups_Ouminus__class_Ouminus,type,
% 2.81/1.50 uminus_uminus:
% 2.81/1.50 !>[A: $tType] : ( A > A ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Groups_Ozero__class_Ozero,type,
% 2.81/1.50 zero_zero:
% 2.81/1.50 !>[A: $tType] : A ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Initial__Value__Problem_Ointerval,type,
% 2.81/1.50 initia826609931terval: ( set @ real ) > $o ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Orderings_Obot__class_Obot,type,
% 2.81/1.50 bot_bot:
% 2.81/1.50 !>[A: $tType] : A ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Orderings_Oord__class_Oless,type,
% 2.81/1.50 ord_less:
% 2.81/1.50 !>[A: $tType] : ( A > A > $o ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Orderings_Otop__class_Otop,type,
% 2.81/1.50 top_top:
% 2.81/1.50 !>[A: $tType] : A ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Oclosed__orbit,type,
% 2.81/1.50 period385816147_orbit:
% 2.81/1.50 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > $o ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiod,type,
% 2.81/1.50 period1153813292period:
% 2.81/1.50 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > real ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Periodic__Orbit_Oauto__ll__on__open_Operiodic__orbit,type,
% 2.81/1.50 period862636932_orbit:
% 2.81/1.50 !>[A: $tType] : ( ( A > A ) > ( set @ A ) > A > $o ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_Set_OCollect,type,
% 2.81/1.50 collect:
% 2.81/1.50 !>[A: $tType] : ( ( A > $o ) > ( set @ A ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_c_member,type,
% 2.81/1.50 member:
% 2.81/1.50 !>[A: $tType] : ( A > ( set @ A ) > $o ) ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_X,type,
% 2.81/1.50 x: set @ a ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_d____,type,
% 2.81/1.50 d: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_f,type,
% 2.81/1.50 f: a > a ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_i1____,type,
% 2.81/1.50 i1: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_i2____,type,
% 2.81/1.50 i2: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_ss____,type,
% 2.81/1.50 ss: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_t,type,
% 2.81/1.50 t: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_tt____,type,
% 2.81/1.50 tt: real ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_x,type,
% 2.81/1.50 x2: a ).
% 2.81/1.50
% 2.81/1.50 thf(sy_v_xx____,type,
% 2.81/1.50 xx: a ).
% 2.81/1.50
% 2.81/1.50 thf(fact_0__092_060open_062xx_A_092_060in_062_AX_092_060close_062,axiom,
% 2.81/1.50 member @ a @ xx @ x ).
% 2.81/1.50
% 2.81/1.50 thf(fact_1__092_060open_062flow0_A_Iflow0_Axx_Att_J_A_I_N_Att_J_A_061_Aflow0_A_Iflow0_Ax_Ass_J_A_I_N_Att_J_092_060close_062,axiom,
% 2.81/1.50 ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt ) @ ( uminus_uminus @ real @ tt ) )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss ) @ ( uminus_uminus @ real @ tt ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_2_eq,axiom,
% 2.81/1.50 ( ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_3_assms_I8_J,axiom,
% 2.81/1.50 member @ real @ t @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ x2 ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_4_tt__ex,axiom,
% 2.81/1.50 member @ real @ tt @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ xx ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_5_ss__ex,axiom,
% 2.81/1.50 member @ real @ ss @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ x2 ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_6_fixpoint__sol_I2_J,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T )
% 2.81/1.50 = X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_7_neg__tt__ex,axiom,
% 2.81/1.50 member @ real @ ( uminus_uminus @ real @ tt ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ xx @ tt ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_8_diff__existence__ivl__trans,axiom,
% 2.81/1.50 ! [T0: real,X0: a,T: real] :
% 2.81/1.50 ( ( member @ real @ T0 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T0 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_9_general_Oexistence__ivl__reverse,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T0 @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_10_general_Oflow__in__domain,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_11_general_Oflows__reverse,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ ( minus_minus @ real @ T0 @ T ) )
% 2.81/1.50 = X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_12_flow0__cong,axiom,
% 2.81/1.50 ! [B: $tType,Y: set @ a,G: a > a,T: real,X0: a] :
% 2.81/1.50 ( ( x = Y )
% 2.81/1.50 => ( ! [X2: a,T2: B] :
% 2.81/1.50 ( ( member @ a @ X2 @ Y )
% 2.81/1.50 => ( ( f @ X2 )
% 2.81/1.50 = ( G @ X2 ) ) )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ G @ Y @ X0 @ T ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_13_general_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ X0 @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_14_closed__orbit__flow0,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.50 => ( period385816147_orbit @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X @ T ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_15_existence__ivl0__cong,axiom,
% 2.81/1.50 ! [B: $tType,Y: set @ a,G: a > a,X0: a] :
% 2.81/1.50 ( ( x = Y )
% 2.81/1.50 => ( ! [X2: a,T2: B] :
% 2.81/1.50 ( ( member @ a @ X2 @ Y )
% 2.81/1.50 => ( ( f @ X2 )
% 2.81/1.50 = ( G @ X2 ) ) )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 2.81/1.50 = ( auto_l1112008849e_ivl0 @ a @ G @ Y @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_16_closed__orbit__in__domain,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.50 => ( member @ a @ X @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_17_fixed__point__imp__closed__orbit__period__zero_I1_J,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( period385816147_orbit @ a @ f @ x @ X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_18_recurrence__time__flip__sign_I1_J,axiom,
% 2.81/1.50 ! [T3: real,X: a] :
% 2.81/1.50 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T3 )
% 2.81/1.50 = X )
% 2.81/1.50 => ( member @ real @ ( uminus_uminus @ real @ T3 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_19_recurrence__time__flip__sign_I2_J,axiom,
% 2.81/1.50 ! [T3: real,X: a] :
% 2.81/1.50 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T3 )
% 2.81/1.50 = X )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( uminus_uminus @ real @ T3 ) )
% 2.81/1.50 = X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_20_local_Oflow__undefined0,axiom,
% 2.81/1.50 ! [T: real,X: a] :
% 2.81/1.50 ( ~ ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ T )
% 2.81/1.50 = ( zero_zero @ a ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_21_closed__orbitI,axiom,
% 2.81/1.50 ! [T: real,T4: real,Y2: a] :
% 2.81/1.50 ( ( T != T4 )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 2.81/1.50 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T4 ) )
% 2.81/1.50 => ( period385816147_orbit @ a @ f @ x @ Y2 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_22_general_Oflow__undefined0,axiom,
% 2.81/1.50 ! [T: real,T0: real,X: a] :
% 2.81/1.50 ( ~ ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ T0 ) )
% 2.81/1.50 = ( zero_zero @ a ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_23_local_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ X0 @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_24_local_Oflow__in__domain,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_25_flow0__defined,axiom,
% 2.81/1.50 ! [Xa: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ Xa @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ Xa ) @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_26_mvar_Ointerval__axioms,axiom,
% 2.81/1.50 ! [X0: a] : ( initia826609931terval @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_27_periodic__orbitI,axiom,
% 2.81/1.50 ! [T: real,T4: real,Y2: a] :
% 2.81/1.50 ( ( T != T4 )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 2.81/1.50 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ Y2 ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T4 ) )
% 2.81/1.50 => ( ( ( f @ Y2 )
% 2.81/1.50 != ( zero_zero @ a ) )
% 2.81/1.50 => ( period862636932_orbit @ a @ f @ x @ Y2 ) ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_28_closed__orbit__periodic,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.50 => ( ( ( f @ X )
% 2.81/1.50 != ( zero_zero @ a ) )
% 2.81/1.50 => ( period862636932_orbit @ a @ f @ x @ X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_29_periodic__orbit__imp__flow0__regular,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( period862636932_orbit @ a @ f @ x @ X )
% 2.81/1.50 => ( ( f @ ( auto_ll_on_flow0 @ a @ f @ x @ X @ T ) )
% 2.81/1.50 != ( zero_zero @ a ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_30_diff__0,axiom,
% 2.81/1.50 ! [A: $tType] :
% 2.81/1.50 ( ( group_add @ A )
% 2.81/1.50 => ! [A2: A] :
% 2.81/1.50 ( ( minus_minus @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.50 = ( uminus_uminus @ A @ A2 ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_31_verit__minus__simplify_I3_J,axiom,
% 2.81/1.50 ! [B: $tType] :
% 2.81/1.50 ( ( group_add @ B )
% 2.81/1.50 => ! [B2: B] :
% 2.81/1.50 ( ( minus_minus @ B @ ( zero_zero @ B ) @ B2 )
% 2.81/1.50 = ( uminus_uminus @ B @ B2 ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_32_closed__orbit__def,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.50 = ( ? [X3: real] :
% 2.81/1.50 ( ( member @ real @ X3 @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 & ( X3
% 2.81/1.50 != ( zero_zero @ real ) )
% 2.81/1.50 & ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ X3 )
% 2.81/1.50 = X ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_33_local_Oflows__reverse,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) )
% 2.81/1.50 = X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_34_local_Oexistence__ivl__reverse,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_35_general_Oflow__initial__time__if,axiom,
% 2.81/1.50 ! [T0: real,X0: a] :
% 2.81/1.50 ( ( ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 & ( member @ a @ X0 @ x ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.50 = X0 ) )
% 2.81/1.50 & ( ~ ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 & ( member @ a @ X0 @ x ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.50 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_36_interval__axioms,axiom,
% 2.81/1.50 initia826609931terval @ ( top_top @ ( set @ real ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_37_rev_Oexistence__ivl0__cong,axiom,
% 2.81/1.50 ! [B: $tType,Y: set @ a,G: a > a,X0: a] :
% 2.81/1.50 ( ( x = Y )
% 2.81/1.50 => ( ! [X2: a,T2: B] :
% 2.81/1.50 ( ( member @ a @ X2 @ Y )
% 2.81/1.50 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 2.81/1.50 = ( G @ X2 ) ) )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 2.81/1.50 = ( auto_l1112008849e_ivl0 @ a @ G @ Y @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_38_rev_Oclosed__orbit__eq__rev,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 = ( period385816147_orbit @ a @ f @ x @ X ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_39_rev_Oclosed__orbit__in__domain,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 => ( member @ a @ X @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_40_neg__equal__iff__equal,axiom,
% 2.81/1.50 ! [A: $tType] :
% 2.81/1.50 ( ( group_add @ A )
% 2.81/1.50 => ! [A2: A,B2: A] :
% 2.81/1.50 ( ( ( uminus_uminus @ A @ A2 )
% 2.81/1.50 = ( uminus_uminus @ A @ B2 ) )
% 2.81/1.50 = ( A2 = B2 ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_41_add_Oinverse__inverse,axiom,
% 2.81/1.50 ! [A: $tType] :
% 2.81/1.50 ( ( group_add @ A )
% 2.81/1.50 => ! [A2: A] :
% 2.81/1.50 ( ( uminus_uminus @ A @ ( uminus_uminus @ A @ A2 ) )
% 2.81/1.50 = A2 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_42_verit__minus__simplify_I4_J,axiom,
% 2.81/1.50 ! [B: $tType] :
% 2.81/1.50 ( ( group_add @ B )
% 2.81/1.50 => ! [B2: B] :
% 2.81/1.50 ( ( uminus_uminus @ B @ ( uminus_uminus @ B @ B2 ) )
% 2.81/1.50 = B2 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_43_rev_Oexistence__ivl__zero,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_44_mem__Collect__eq,axiom,
% 2.81/1.50 ! [A: $tType,A2: A,P: A > $o] :
% 2.81/1.50 ( ( member @ A @ A2 @ ( collect @ A @ P ) )
% 2.81/1.50 = ( P @ A2 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_45_Collect__mem__eq,axiom,
% 2.81/1.50 ! [A: $tType,A3: set @ A] :
% 2.81/1.50 ( ( collect @ A
% 2.81/1.50 @ ^ [X3: A] : ( member @ A @ X3 @ A3 ) )
% 2.81/1.50 = A3 ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_46_Collect__cong,axiom,
% 2.81/1.50 ! [A: $tType,P: A > $o,Q: A > $o] :
% 2.81/1.50 ( ! [X2: A] :
% 2.81/1.50 ( ( P @ X2 )
% 2.81/1.50 = ( Q @ X2 ) )
% 2.81/1.50 => ( ( collect @ A @ P )
% 2.81/1.50 = ( collect @ A @ Q ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_47_ext,axiom,
% 2.81/1.50 ! [B: $tType,A: $tType,F: A > B,G: A > B] :
% 2.81/1.50 ( ! [X2: A] :
% 2.81/1.50 ( ( F @ X2 )
% 2.81/1.50 = ( G @ X2 ) )
% 2.81/1.50 => ( F = G ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_48_existence__ivl__zero,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_49_rev_Ogeneral_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ X0 @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_50_local_Orev_Omem__existence__ivl__subset,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_51_local_Omem__existence__ivl__subset,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_52_rev_Oflow0__cong,axiom,
% 2.81/1.50 ! [B: $tType,Y: set @ a,G: a > a,T: real,X0: a] :
% 2.81/1.50 ( ( x = Y )
% 2.81/1.50 => ( ! [X2: a,T2: B] :
% 2.81/1.50 ( ( member @ a @ X2 @ Y )
% 2.81/1.50 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 2.81/1.50 = ( G @ X2 ) ) )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ G @ Y @ X0 @ T ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_53_rev_Orev__eq__flow,axiom,
% 2.81/1.50 ! [Y2: a,T: real] :
% 2.81/1.50 ( ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ ( uminus_uminus @ real @ T ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_54_rev__eq__flow,axiom,
% 2.81/1.50 ! [Y2: a,T: real] :
% 2.81/1.50 ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ Y2 @ ( uminus_uminus @ real @ T ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_55_rev_Ofixpoint__sol_I2_J,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T )
% 2.81/1.50 = X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_56_rev_Oclosed__orbit__flow0,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_57_rev_Omvar_Ointerval__axioms,axiom,
% 2.81/1.50 ! [X0: a] : ( initia826609931terval @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_58_rev_Ofixed__point__imp__closed__orbit__period__zero_I1_J,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_59_local_Orev_Oexistence__ivl__initial__time,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_60_local_Oexistence__ivl__initial__time,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_61_rev_Ogeneral_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_62_rev_Ogeneral_Oexistence__ivl__initial__time,axiom,
% 2.81/1.50 ! [T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_63_rev_Omem__existence__ivl__shift__autonomous2,axiom,
% 2.81/1.50 ! [T: real,S: real,X: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.50 => ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ! [S2: real,T2: real,X2: a] :
% 2.81/1.50 ( ( member @ a @ X2 @ x )
% 2.81/1.50 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 2.81/1.50 = ( uminus_uminus @ ( a > a ) @ f @ X2 ) ) )
% 2.81/1.50 => ( ( ( top_top @ ( set @ real ) )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_64_rev_Ogeneral_Omem__existence__ivl__subset,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_65_general_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_66_general_Oexistence__ivl__initial__time,axiom,
% 2.81/1.50 ! [T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( member @ a @ X0 @ x )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_67_mem__existence__ivl__shift__autonomous2,axiom,
% 2.81/1.50 ! [T: real,S: real,X: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ! [S2: real,T2: real,X2: a] :
% 2.81/1.50 ( ( member @ a @ X2 @ x )
% 2.81/1.50 => ( ( f @ X2 )
% 2.81/1.50 = ( f @ X2 ) ) )
% 2.81/1.50 => ( ( ( top_top @ ( set @ real ) )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_68_general_Omem__existence__ivl__subset,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ T @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_69_rev_Odiff__existence__ivl__trans,axiom,
% 2.81/1.50 ! [T0: real,X0: a,T: real] :
% 2.81/1.50 ( ( member @ real @ T0 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T0 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_70_rev_Ogeneral_Oexistence__ivl__reverse,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ T0 @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_71_rev_Ogeneral_Oflow__in__domain,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ x ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_72_rev_Ogeneral_Oflows__reverse,axiom,
% 2.81/1.50 ! [T: real,T0: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) @ ( minus_minus @ real @ T0 @ T ) )
% 2.81/1.50 = X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_73_rev_Orecurrence__time__flip__sign_I2_J,axiom,
% 2.81/1.50 ! [T3: real,X: a] :
% 2.81/1.50 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T3 )
% 2.81/1.50 = X )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( uminus_uminus @ real @ T3 ) )
% 2.81/1.50 = X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_74_rev_Orecurrence__time__flip__sign_I1_J,axiom,
% 2.81/1.50 ! [T3: real,X: a] :
% 2.81/1.50 ( ( member @ real @ T3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T3 )
% 2.81/1.50 = X )
% 2.81/1.50 => ( member @ real @ ( uminus_uminus @ real @ T3 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_75_rev_Ofixpoint__sol_I1_J,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_76_fixpoint__sol_I1_J,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ( ( f @ X )
% 2.81/1.50 = ( zero_zero @ a ) )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_77_local_Orev_Oflow__undefined0,axiom,
% 2.81/1.50 ! [T: real,X: a] :
% 2.81/1.50 ( ~ ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T )
% 2.81/1.50 = ( zero_zero @ a ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_78_rev_Oclosed__orbit__global__existence,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_79_closed__orbit__global__existence,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.50 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_80_rev_Oclosed__orbitI,axiom,
% 2.81/1.50 ! [T: real,T4: real,Y2: a] :
% 2.81/1.50 ( ( T != T4 )
% 2.81/1.50 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 2.81/1.50 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 2.81/1.50 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T4 ) )
% 2.81/1.50 => ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_81_rev_Operiodic__orbit__imp__flow0__regular,axiom,
% 2.81/1.50 ! [X: a,T: real] :
% 2.81/1.50 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 => ( ( uminus_uminus @ ( a > a ) @ f @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T ) )
% 2.81/1.50 != ( zero_zero @ a ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_82_rev_Oclosed__orbit__periodic,axiom,
% 2.81/1.50 ! [X: a] :
% 2.81/1.50 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.50 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.50 != ( zero_zero @ a ) )
% 2.81/1.50 => ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_83_local_Orev_Oexistence__ivl__reverse,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( member @ real @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_84_local_Orev_Oflows__reverse,axiom,
% 2.81/1.50 ! [T: real,X0: a] :
% 2.81/1.50 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) @ ( minus_minus @ real @ ( zero_zero @ real ) @ T ) )
% 2.81/1.50 = X0 ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_85_rev_Oflow__shift__autonomous2,axiom,
% 2.81/1.50 ! [T: real,S: real,X: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.50 => ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ! [S2: real,T2: real,X2: a] :
% 2.81/1.50 ( ( member @ a @ X2 @ x )
% 2.81/1.50 => ( ( uminus_uminus @ ( a > a ) @ f @ X2 )
% 2.81/1.50 = ( uminus_uminus @ ( a > a ) @ f @ X2 ) ) )
% 2.81/1.50 => ( ( ( top_top @ ( set @ real ) )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ S ) )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ S ) ) ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_86_flow__shift__autonomous2,axiom,
% 2.81/1.50 ! [T: real,S: real,X: a] :
% 2.81/1.50 ( ( member @ real @ ( minus_minus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X ) )
% 2.81/1.50 => ( ( member @ a @ X @ x )
% 2.81/1.50 => ( ! [S2: real,T2: real,X2: a] :
% 2.81/1.50 ( ( member @ a @ X2 @ x )
% 2.81/1.50 => ( ( f @ X2 )
% 2.81/1.50 = ( f @ X2 ) ) )
% 2.81/1.50 => ( ( ( top_top @ ( set @ real ) )
% 2.81/1.50 = ( top_top @ ( set @ real ) ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ S ) )
% 2.81/1.50 = ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( minus_minus @ real @ T @ S ) ) ) ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_87_local_Orev_Oflow__initial__time__if,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 & ( member @ a @ X0 @ x ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.50 = X0 ) )
% 2.81/1.50 & ( ~ ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 & ( member @ a @ X0 @ x ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.50 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.50
% 2.81/1.50 thf(fact_88_local_Oflow__initial__time__if,axiom,
% 2.81/1.50 ! [X0: a] :
% 2.81/1.50 ( ( ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.50 & ( member @ a @ X0 @ x ) )
% 2.81/1.50 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.50 = X0 ) )
% 2.81/1.50 & ( ~ ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.51 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_89_rev_Oclosed__orbit__def,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 = ( ? [X3: real] :
% 2.81/1.51 ( ( member @ real @ X3 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.51 & ( X3
% 2.81/1.51 != ( zero_zero @ real ) )
% 2.81/1.51 & ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ X3 )
% 2.81/1.51 = X ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_90_rev_Ogeneral_Oflow__undefined0,axiom,
% 2.81/1.51 ! [T: real,T0: real,X: a] :
% 2.81/1.51 ( ~ ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( minus_minus @ real @ T @ T0 ) )
% 2.81/1.51 = ( zero_zero @ a ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_91_rev_Ogeneral_Oflow__initial__time__if,axiom,
% 2.81/1.51 ! [T0: real,X0: a] :
% 2.81/1.51 ( ( ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.51 = X0 ) )
% 2.81/1.51 & ( ~ ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.51 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_92_rev_Operiodic__orbitI,axiom,
% 2.81/1.51 ! [T: real,T4: real,Y2: a] :
% 2.81/1.51 ( ( T != T4 )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 2.81/1.51 => ( ( member @ real @ T4 @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) )
% 2.81/1.51 => ( ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 @ T4 ) )
% 2.81/1.51 => ( ( ( uminus_uminus @ ( a > a ) @ f @ Y2 )
% 2.81/1.51 != ( zero_zero @ a ) )
% 2.81/1.51 => ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ Y2 ) ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_93_neg__equal__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ( uminus_uminus @ A @ A2 )
% 2.81/1.51 = A2 )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_94_equal__neg__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( A2
% 2.81/1.51 = ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_95_neg__equal__0__iff__equal,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ( uminus_uminus @ A @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_96_neg__0__equal__iff__equal,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ( zero_zero @ A )
% 2.81/1.51 = ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( ( zero_zero @ A )
% 2.81/1.51 = A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_97_add_Oinverse__neutral,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ( ( uminus_uminus @ A @ ( zero_zero @ A ) )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_98_diff__self,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_99_diff__0__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_100_zero__diff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_diff @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_101_diff__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_102_cancel__comm__monoid__add__class_Odiff__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_103_minus__diff__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( uminus_uminus @ A @ ( minus_minus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( minus_minus @ A @ B2 @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_104_tt_I1_J,axiom,
% 2.81/1.51 ord_less @ real @ ( zero_zero @ real ) @ tt ).
% 2.81/1.51
% 2.81/1.51 thf(fact_105_local_Orev_Omem__existence__ivl__iv__defined_I2_J,axiom,
% 2.81/1.51 ! [T: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ a @ X0 @ x ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_106_rev_Oflow0__defined,axiom,
% 2.81/1.51 ! [Xa: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ Xa @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ Xa ) @ x ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_107_local_Orev_Oflow__in__domain,axiom,
% 2.81/1.51 ! [T: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ a @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) @ x ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_108_local_Orev_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 2.81/1.51 ! [T: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_109_local_Orev_Oexistence__ivl__initial__time__iff,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 = ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_110_local_Omem__existence__ivl__iv__defined_I1_J,axiom,
% 2.81/1.51 ! [T: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_111_local_Oexistence__ivl__initial__time__iff,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 = ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_112_local_Orev_Oflow__initial__time,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.51 = X0 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_113_local_Oflow__initial__time,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( zero_zero @ real ) )
% 2.81/1.51 = X0 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_114_rev_Ogeneral_Oexistence__ivl__initial__time__iff,axiom,
% 2.81/1.51 ! [T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 = ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_115_general_Oexistence__ivl__initial__time__iff,axiom,
% 2.81/1.51 ! [T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ T0 @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 = ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 & ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_116_rev_Ogeneral_Oflow__initial__time,axiom,
% 2.81/1.51 ! [T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.51 = X0 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_117_general_Oflow__initial__time,axiom,
% 2.81/1.51 ! [T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ T0 @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T0 @ T0 ) )
% 2.81/1.51 = X0 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_118_zero__reorient,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( zero @ A )
% 2.81/1.51 => ! [X: A] :
% 2.81/1.51 ( ( ( zero_zero @ A )
% 2.81/1.51 = X )
% 2.81/1.51 = ( X
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_119_minus__equation__iff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ( uminus_uminus @ A @ A2 )
% 2.81/1.51 = B2 )
% 2.81/1.51 = ( ( uminus_uminus @ A @ B2 )
% 2.81/1.51 = A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_120_equation__minus__iff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( A2
% 2.81/1.51 = ( uminus_uminus @ A @ B2 ) )
% 2.81/1.51 = ( B2
% 2.81/1.51 = ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_121_verit__negate__coefficient_I3_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( A2 = B2 )
% 2.81/1.51 => ( ( uminus_uminus @ A @ A2 )
% 2.81/1.51 = ( uminus_uminus @ A @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_122_diff__eq__diff__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A,D: A] :
% 2.81/1.51 ( ( ( minus_minus @ A @ A2 @ B2 )
% 2.81/1.51 = ( minus_minus @ A @ C @ D ) )
% 2.81/1.51 => ( ( A2 = B2 )
% 2.81/1.51 = ( C = D ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_123_cancel__ab__semigroup__add__class_Odiff__right__commute,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( minus_minus @ A @ A2 @ C ) @ B2 )
% 2.81/1.51 = ( minus_minus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_124_eq__iff__diff__eq__0,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ( ( ^ [Y3: A,Z: A] : ( Y3 = Z ) )
% 2.81/1.51 = ( ^ [A4: A,B3: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A4 @ B3 )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_125_minus__diff__commute,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( uminus_uminus @ A @ B2 ) @ A2 )
% 2.81/1.51 = ( minus_minus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_126_rev_Oclosed__orbit__period__zero__fixed__point,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 => ( ( ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 = ( zero_zero @ real ) )
% 2.81/1.51 => ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.51 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_127_closed__orbit__period__zero__fixed__point,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.51 => ( ( ( period1153813292period @ a @ f @ x @ X )
% 2.81/1.51 = ( zero_zero @ real ) )
% 2.81/1.51 => ( ( f @ X )
% 2.81/1.51 = ( zero_zero @ a ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_128_rev_Operiodic__orbit__period_I2_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) )
% 2.81/1.51 = X ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_129_periodic__orbit__period_I2_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ f @ x @ X )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( period1153813292period @ a @ f @ x @ X ) )
% 2.81/1.51 = X ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_130_rev_Ofixed__point__imp__closed__orbit__period__zero_I2_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( member @ a @ X @ x )
% 2.81/1.51 => ( ( ( uminus_uminus @ ( a > a ) @ f @ X )
% 2.81/1.51 = ( zero_zero @ a ) )
% 2.81/1.51 => ( ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 = ( zero_zero @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_131_fixed__point__imp__closed__orbit__period__zero_I2_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( member @ a @ X @ x )
% 2.81/1.51 => ( ( ( f @ X )
% 2.81/1.51 = ( zero_zero @ a ) )
% 2.81/1.51 => ( ( period1153813292period @ a @ f @ x @ X )
% 2.81/1.51 = ( zero_zero @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_132_local_Orev_Oexistence__ivl__notempty,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 2.81/1.51 != ( bot_bot @ ( set @ real ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_133_local_Oexistence__ivl__notempty,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 2.81/1.51 != ( bot_bot @ ( set @ real ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_134_rev_Ogeneral_Oexistence__ivl__trans,axiom,
% 2.81/1.51 ! [S: real,T0: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 2.81/1.51 => ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_135_i2_I2_J,axiom,
% 2.81/1.51 ord_less @ real @ ( zero_zero @ real ) @ i1 ).
% 2.81/1.51
% 2.81/1.51 thf(fact_136_add__right__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel_semigroup_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ B2 @ A2 )
% 2.81/1.51 = ( plus_plus @ A @ C @ A2 ) )
% 2.81/1.51 = ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_137_add__left__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel_semigroup_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ A2 @ B2 )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ C ) )
% 2.81/1.51 = ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_138_d,axiom,
% 2.81/1.51 ord_less @ real @ ( zero_zero @ real ) @ d ).
% 2.81/1.51
% 2.81/1.51 thf(fact_139_local_Oflow__trans,axiom,
% 2.81/1.51 ! [S: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( plus_plus @ real @ S @ T ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) @ T ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_140_local_Oexistence__ivl__trans_H,axiom,
% 2.81/1.51 ! [T: real,S: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( plus_plus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ T ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_141_local_Oexistence__ivl__trans,axiom,
% 2.81/1.51 ! [S: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ S ) ) )
% 2.81/1.51 => ( member @ real @ ( plus_plus @ real @ S @ T ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_142_i2_I3_J,axiom,
% 2.81/1.51 ord_less @ real @ i1 @ i2 ).
% 2.81/1.51
% 2.81/1.51 thf(fact_143_local_Orev_Oflow__trans,axiom,
% 2.81/1.51 ! [S: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( plus_plus @ real @ S @ T ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) @ T ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_144_local_Orev_Oexistence__ivl__trans_H,axiom,
% 2.81/1.51 ! [T: real,S: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( plus_plus @ real @ T @ S ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ T ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_145_local_Orev_Oexistence__ivl__trans,axiom,
% 2.81/1.51 ! [S: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ S ) ) )
% 2.81/1.51 => ( member @ real @ ( plus_plus @ real @ S @ T ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_146_general_Oflow__trans,axiom,
% 2.81/1.51 ! [S: real,T0: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) @ T ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_147_general_Oexistence__ivl__trans_H,axiom,
% 2.81/1.51 ! [T: real,S: real,T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ T @ S ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_148_general_Oexistence__ivl__trans,axiom,
% 2.81/1.51 ! [S: real,T0: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ ( auto_ll_on_flow0 @ a @ f @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 2.81/1.51 => ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_149_periodic__orbit__period_I1_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ f @ x @ X )
% 2.81/1.51 => ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ f @ x @ X ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_150_rev_Ogeneral_Oflow__trans,axiom,
% 2.81/1.51 ! [S: real,T0: real,X0: a,T: real] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ S @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ T @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) ) )
% 2.81/1.51 => ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ ( plus_plus @ real @ S @ T ) @ T0 ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ S @ T0 ) ) @ T ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_151_rev_Ogeneral_Oexistence__ivl__trans_H,axiom,
% 2.81/1.51 ! [T: real,S: real,T0: real,X0: a] :
% 2.81/1.51 ( ( member @ real @ ( minus_minus @ real @ ( plus_plus @ real @ T @ S ) @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( ( member @ real @ ( minus_minus @ real @ T @ T0 ) @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 ) )
% 2.81/1.51 => ( member @ real @ S @ ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 @ ( minus_minus @ real @ T @ T0 ) ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_152_not__gr__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [N: A] :
% 2.81/1.51 ( ( ~ ( ord_less @ A @ ( zero_zero @ A ) @ N ) )
% 2.81/1.51 = ( N
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_153_add_Oleft__neutral,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( monoid_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_154_add_Oright__neutral,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( monoid_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_155_linordered__ab__group__add__class_Odouble__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ A2 @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_156_double__zero__sym,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ( zero_zero @ A )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ A2 ) )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_157_add__cancel__left__left,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ B2 @ A2 )
% 2.81/1.51 = A2 )
% 2.81/1.51 = ( B2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_158_add__cancel__left__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ A2 @ B2 )
% 2.81/1.51 = A2 )
% 2.81/1.51 = ( B2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_159_add__cancel__right__left,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( A2
% 2.81/1.51 = ( plus_plus @ A @ B2 @ A2 ) )
% 2.81/1.51 = ( B2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_160_add__cancel__right__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( A2
% 2.81/1.51 = ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( B2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_161_add__eq__0__iff__both__eq__0,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [X: A,Y2: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ X @ Y2 )
% 2.81/1.51 = ( zero_zero @ A ) )
% 2.81/1.51 = ( ( X
% 2.81/1.51 = ( zero_zero @ A ) )
% 2.81/1.51 & ( Y2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_162_zero__eq__add__iff__both__eq__0,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [X: A,Y2: A] :
% 2.81/1.51 ( ( ( zero_zero @ A )
% 2.81/1.51 = ( plus_plus @ A @ X @ Y2 ) )
% 2.81/1.51 = ( ( X
% 2.81/1.51 = ( zero_zero @ A ) )
% 2.81/1.51 & ( Y2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_163_neg__less__iff__less,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_164_closed__orbitE,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.51 => ~ ! [T5: real] :
% 2.81/1.51 ( ( ord_less @ real @ ( zero_zero @ real ) @ T5 )
% 2.81/1.51 => ~ ! [T6: real] :
% 2.81/1.51 ( ( auto_ll_on_flow0 @ a @ f @ x @ X @ ( plus_plus @ real @ T6 @ T5 ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ f @ x @ X @ T6 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_165_add__less__cancel__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere236663937imp_le @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_166_add__less__cancel__left,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere236663937imp_le @ A )
% 2.81/1.51 => ! [C: A,A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_167_add__minus__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 ) )
% 2.81/1.51 = B2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_168_minus__add__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = B2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_169_minus__add__distrib,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( uminus_uminus @ A @ ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ ( uminus_uminus @ A @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_170_add__diff__cancel__right_H,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_171_add__diff__cancel__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 2.81/1.51 = ( minus_minus @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_172_add__diff__cancel__left_H,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ A2 )
% 2.81/1.51 = B2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_173_add__diff__cancel__left,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [C: A,A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 2.81/1.51 = ( minus_minus @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_174_diff__add__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ B2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_175_add__diff__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_176_rev_Operiodic__orbit__period_I1_J,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 => ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_177_periodic__orbit__def,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ f @ x @ X )
% 2.81/1.51 = ( ( period385816147_orbit @ a @ f @ x @ X )
% 2.81/1.51 & ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ f @ x @ X ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_178_tt_I2_J,axiom,
% 2.81/1.51 ord_less @ real @ tt @ d ).
% 2.81/1.51
% 2.81/1.51 thf(fact_179_rev_Oclosed__orbitE,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 => ~ ! [T5: real] :
% 2.81/1.51 ( ( ord_less @ real @ ( zero_zero @ real ) @ T5 )
% 2.81/1.51 => ~ ! [T6: real] :
% 2.81/1.51 ( ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ ( plus_plus @ real @ T6 @ T5 ) )
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X @ T6 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_180_rev_Operiodic__orbit__def,axiom,
% 2.81/1.51 ! [X: a] :
% 2.81/1.51 ( ( period862636932_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 = ( ( period385816147_orbit @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X )
% 2.81/1.51 & ( ord_less @ real @ ( zero_zero @ real ) @ ( period1153813292period @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_181_less__neg__neg,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_182_neg__less__pos,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ A2 )
% 2.81/1.51 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_183_neg__0__less__iff__less,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_184_neg__less__0__iff__less,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ ( zero_zero @ A ) )
% 2.81/1.51 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_185_add__less__same__cancel1,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere516151231imp_le @ A )
% 2.81/1.51 => ! [B2: A,A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ B2 @ A2 ) @ B2 )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_186_add__less__same__cancel2,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere516151231imp_le @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ B2 )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_187_less__add__same__cancel1,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere516151231imp_le @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( ord_less @ A @ ( zero_zero @ A ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_188_less__add__same__cancel2,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere516151231imp_le @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( plus_plus @ A @ B2 @ A2 ) )
% 2.81/1.51 = ( ord_less @ A @ ( zero_zero @ A ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_189_double__add__less__zero__iff__single__add__less__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ A2 ) @ ( zero_zero @ A ) )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_190_linordered__ab__group__add__class_Ozero__less__double__add__iff__zero__less__single__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( linord219039673up_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( plus_plus @ A @ A2 @ A2 ) )
% 2.81/1.51 = ( ord_less @ A @ ( zero_zero @ A ) @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_191_diff__gt__0__iff__gt,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ ( minus_minus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( ord_less @ A @ B2 @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_192_add_Oleft__inverse,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ A2 )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_193_add_Oright__inverse,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( uminus_uminus @ A @ A2 ) )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_194_diff__add__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_diff @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_195_uminus__add__conv__diff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( uminus_uminus @ A @ A2 ) @ B2 )
% 2.81/1.51 = ( minus_minus @ A @ B2 @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_196_diff__minus__eq__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( uminus_uminus @ A @ B2 ) )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_197_local_Oexistence__ivl__undefined,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ~ ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_198_local_Orev_Oexistence__ivl__undefined,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ~ ( member @ a @ X0 @ x )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_199_local_Oexistence__ivl__empty__iff,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) )
% 2.81/1.51 = ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 | ~ ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_200_local_Oexistence__ivl__empty1,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ f @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_201_local_Orev_Oexistence__ivl__empty__iff,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) )
% 2.81/1.51 = ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 | ~ ( member @ a @ X0 @ x ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_202_local_Orev_Oexistence__ivl__empty1,axiom,
% 2.81/1.51 ! [X0: a] :
% 2.81/1.51 ( ~ ( member @ real @ ( zero_zero @ real ) @ ( top_top @ ( set @ real ) ) )
% 2.81/1.51 => ( ( auto_l1112008849e_ivl0 @ a @ ( uminus_uminus @ ( a > a ) @ f ) @ x @ X0 )
% 2.81/1.51 = ( bot_bot @ ( set @ real ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_203_add__neg__neg,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere216010020id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 => ( ( ord_less @ A @ B2 @ ( zero_zero @ A ) )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ ( zero_zero @ A ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_204_add__pos__pos,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere216010020id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 => ( ( ord_less @ A @ ( zero_zero @ A ) @ B2 )
% 2.81/1.51 => ( ord_less @ A @ ( zero_zero @ A ) @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_205_canonically__ordered__monoid__add__class_OlessE,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ~ ! [C2: A] :
% 2.81/1.51 ( ( B2
% 2.81/1.51 = ( plus_plus @ A @ A2 @ C2 ) )
% 2.81/1.51 => ( C2
% 2.81/1.51 = ( zero_zero @ A ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_206_pos__add__strict,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( strict797366125id_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 => ( ( ord_less @ A @ B2 @ C )
% 2.81/1.51 => ( ord_less @ A @ B2 @ ( plus_plus @ A @ A2 @ C ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_207_add__less__imp__less__right,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere236663937imp_le @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) )
% 2.81/1.51 => ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_208_add__less__imp__less__left,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere236663937imp_le @ A )
% 2.81/1.51 => ! [C: A,A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) )
% 2.81/1.51 => ( ord_less @ A @ A2 @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_209_add__strict__right__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere223160158up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_210_add__strict__left__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere223160158up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ C @ A2 ) @ ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_211_add__strict__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( strict2144017051up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A,D: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ( ord_less @ A @ C @ D )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ A2 @ C ) @ ( plus_plus @ A @ B2 @ D ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_212_add__right__imp__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel_semigroup_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ B2 @ A2 )
% 2.81/1.51 = ( plus_plus @ A @ C @ A2 ) )
% 2.81/1.51 => ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_213_add__left__imp__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel_semigroup_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ A2 @ B2 )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ C ) )
% 2.81/1.51 => ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_214_less__diff__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( minus_minus @ A @ C @ B2 ) )
% 2.81/1.51 = ( ord_less @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_215_diff__less__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 2.81/1.51 = ( ord_less @ A @ A2 @ ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_216_add_Oleft__commute,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_semigroup_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A,C: A] :
% 2.81/1.51 ( ( plus_plus @ A @ B2 @ ( plus_plus @ A @ A2 @ C ) )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_217_add_Ocommute,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_semigroup_add @ A )
% 2.81/1.51 => ( ( plus_plus @ A )
% 2.81/1.51 = ( ^ [A4: A,B3: A] : ( plus_plus @ A @ B3 @ A4 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_218_add_Oright__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ B2 @ A2 )
% 2.81/1.51 = ( plus_plus @ A @ C @ A2 ) )
% 2.81/1.51 = ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_219_add_Oleft__cancel,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ A2 @ B2 )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ C ) )
% 2.81/1.51 = ( B2 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_220_add_Oassoc,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( semigroup_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_221_group__cancel_Oadd2,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_add @ A )
% 2.81/1.51 => ! [B4: A,K: A,B2: A,A2: A] :
% 2.81/1.51 ( ( B4
% 2.81/1.51 = ( plus_plus @ A @ K @ B2 ) )
% 2.81/1.51 => ( ( plus_plus @ A @ A2 @ B4 )
% 2.81/1.51 = ( plus_plus @ A @ K @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_222_group__cancel_Oadd1,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_add @ A )
% 2.81/1.51 => ! [A3: A,K: A,A2: A,B2: A] :
% 2.81/1.51 ( ( A3
% 2.81/1.51 = ( plus_plus @ A @ K @ A2 ) )
% 2.81/1.51 => ( ( plus_plus @ A @ A3 @ B2 )
% 2.81/1.51 = ( plus_plus @ A @ K @ ( plus_plus @ A @ A2 @ B2 ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_223_add__mono__thms__linordered__semiring_I4_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere779506340up_add @ A )
% 2.81/1.51 => ! [I: A,J: A,K: A,L: A] :
% 2.81/1.51 ( ( ( I = J )
% 2.81/1.51 & ( K = L ) )
% 2.81/1.51 => ( ( plus_plus @ A @ I @ K )
% 2.81/1.51 = ( plus_plus @ A @ J @ L ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_224_add__mono__thms__linordered__field_I1_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere223160158up_add @ A )
% 2.81/1.51 => ! [I: A,J: A,K: A,L: A] :
% 2.81/1.51 ( ( ( ord_less @ A @ I @ J )
% 2.81/1.51 & ( K = L ) )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_225_add__mono__thms__linordered__field_I2_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere223160158up_add @ A )
% 2.81/1.51 => ! [I: A,J: A,K: A,L: A] :
% 2.81/1.51 ( ( ( I = J )
% 2.81/1.51 & ( ord_less @ A @ K @ L ) )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_226_add__mono__thms__linordered__field_I5_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordere223160158up_add @ A )
% 2.81/1.51 => ! [I: A,J: A,K: A,L: A] :
% 2.81/1.51 ( ( ( ord_less @ A @ I @ J )
% 2.81/1.51 & ( ord_less @ A @ K @ L ) )
% 2.81/1.51 => ( ord_less @ A @ ( plus_plus @ A @ I @ K ) @ ( plus_plus @ A @ J @ L ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_227_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_semigroup_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C )
% 2.81/1.51 = ( plus_plus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_228_verit__comp__simplify1_I1_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( order @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ~ ( ord_less @ A @ A2 @ A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_229_gr__zeroI,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [N: A] :
% 2.81/1.51 ( ( N
% 2.81/1.51 != ( zero_zero @ A ) )
% 2.81/1.51 => ( ord_less @ A @ ( zero_zero @ A ) @ N ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_230_not__less__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [N: A] :
% 2.81/1.51 ~ ( ord_less @ A @ N @ ( zero_zero @ A ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_231_gr__implies__not__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [M: A,N: A] :
% 2.81/1.51 ( ( ord_less @ A @ M @ N )
% 2.81/1.51 => ( N
% 2.81/1.51 != ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_232_zero__less__iff__neq__zero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( canoni770627133id_add @ A )
% 2.81/1.51 => ! [N: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( zero_zero @ A ) @ N )
% 2.81/1.51 = ( N
% 2.81/1.51 != ( zero_zero @ A ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_233_verit__sum__simplify,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_234_comm__monoid__add__class_Oadd__0,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_235_add_Ocomm__neutral,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( comm_monoid_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( zero_zero @ A ) )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_236_add_Ogroup__left__neutral,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( zero_zero @ A ) @ A2 )
% 2.81/1.51 = A2 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_237_verit__negate__coefficient_I2_J,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_238_less__minus__iff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ ( uminus_uminus @ A @ B2 ) )
% 2.81/1.51 = ( ord_less @ A @ B2 @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_239_minus__less__iff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( ord_less @ A @ ( uminus_uminus @ A @ A2 ) @ B2 )
% 2.81/1.51 = ( ord_less @ A @ ( uminus_uminus @ A @ B2 ) @ A2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_240_diff__strict__right__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ord_less @ A @ ( minus_minus @ A @ A2 @ C ) @ ( minus_minus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_241_diff__strict__left__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [B2: A,A2: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ B2 @ A2 )
% 2.81/1.51 => ( ord_less @ A @ ( minus_minus @ A @ C @ A2 ) @ ( minus_minus @ A @ C @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_242_diff__eq__diff__less,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A,D: A] :
% 2.81/1.51 ( ( ( minus_minus @ A @ A2 @ B2 )
% 2.81/1.51 = ( minus_minus @ A @ C @ D ) )
% 2.81/1.51 => ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 = ( ord_less @ A @ C @ D ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_243_diff__strict__mono,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ordered_ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,D: A,C: A] :
% 2.81/1.51 ( ( ord_less @ A @ A2 @ B2 )
% 2.81/1.51 => ( ( ord_less @ A @ D @ C )
% 2.81/1.51 => ( ord_less @ A @ ( minus_minus @ A @ A2 @ C ) @ ( minus_minus @ A @ B2 @ D ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_244_group__cancel_Oneg1,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [A3: A,K: A,A2: A] :
% 2.81/1.51 ( ( A3
% 2.81/1.51 = ( plus_plus @ A @ K @ A2 ) )
% 2.81/1.51 => ( ( uminus_uminus @ A @ A3 )
% 2.81/1.51 = ( plus_plus @ A @ ( uminus_uminus @ A @ K ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_245_add_Oinverse__distrib__swap,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A] :
% 2.81/1.51 ( ( uminus_uminus @ A @ ( plus_plus @ A @ A2 @ B2 ) )
% 2.81/1.51 = ( plus_plus @ A @ ( uminus_uminus @ A @ B2 ) @ ( uminus_uminus @ A @ A2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_246_add__implies__diff,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel1352612707id_add @ A )
% 2.81/1.51 => ! [C: A,B2: A,A2: A] :
% 2.81/1.51 ( ( ( plus_plus @ A @ C @ B2 )
% 2.81/1.51 = A2 )
% 2.81/1.51 => ( C
% 2.81/1.51 = ( minus_minus @ A @ A2 @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_247_diff__diff__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( cancel146912293up_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( minus_minus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 2.81/1.51 = ( minus_minus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_248_diff__add__eq__diff__diff__swap,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( plus_plus @ A @ B2 @ C ) )
% 2.81/1.51 = ( minus_minus @ A @ ( minus_minus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_249_diff__add__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( plus_plus @ A @ ( minus_minus @ A @ A2 @ B2 ) @ C )
% 2.81/1.51 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_250_diff__diff__eq2,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( minus_minus @ A @ A2 @ ( minus_minus @ A @ B2 @ C ) )
% 2.81/1.51 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ C ) @ B2 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_251_add__diff__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( plus_plus @ A @ A2 @ ( minus_minus @ A @ B2 @ C ) )
% 2.81/1.51 = ( minus_minus @ A @ ( plus_plus @ A @ A2 @ B2 ) @ C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_252_eq__diff__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,C: A,B2: A] :
% 2.81/1.51 ( ( A2
% 2.81/1.51 = ( minus_minus @ A @ C @ B2 ) )
% 2.81/1.51 = ( ( plus_plus @ A @ A2 @ B2 )
% 2.81/1.51 = C ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_253_diff__eq__eq,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( group_add @ A )
% 2.81/1.51 => ! [A2: A,B2: A,C: A] :
% 2.81/1.51 ( ( ( minus_minus @ A @ A2 @ B2 )
% 2.81/1.51 = C )
% 2.81/1.51 = ( A2
% 2.81/1.51 = ( plus_plus @ A @ C @ B2 ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(fact_254_group__cancel_Osub1,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( ab_group_add @ A )
% 2.81/1.51 => ! [A3: A,K: A,A2: A,B2: A] :
% 2.81/1.51 ( ( A3
% 2.81/1.51 = ( plus_plus @ A @ K @ A2 ) )
% 2.81/1.51 => ( ( minus_minus @ A @ A3 @ B2 )
% 2.81/1.51 = ( plus_plus @ A @ K @ ( minus_minus @ A @ A2 @ B2 ) ) ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___HOL_Otype,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( type @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ozero,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( zero @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Orderings_Oorder,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( order @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ogroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( group_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Omonoid__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( monoid_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__group__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ab_group_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Osemigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( semigroup_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocomm__monoid__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( comm_monoid_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oab__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ab_semigroup_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( cancel_semigroup_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__group__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordered_ab_group_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__comm__monoid__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( cancel1352612707id_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ocancel__ab__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( cancel146912293up_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__comm__monoid__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordere216010020id_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordere779506340up_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__comm__monoid__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( strict797366125id_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordere236663937imp_le @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordere223160158up_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Ostrict__ordered__ab__semigroup__add,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( strict2144017051up_add @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(subcl_Executable__Euclidean__Space_Oexecutable__euclidean__space___Groups_Oordered__ab__semigroup__monoid__add__imp__le,axiom,
% 2.81/1.51 ! [A: $tType] :
% 2.81/1.51 ( ( execut510477386_space @ A )
% 2.81/1.51 => ( ordere516151231imp_le @ A ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_fun___Orderings_Oorder,axiom,
% 2.81/1.51 ! [A5: $tType,A6: $tType] :
% 2.81/1.51 ( ( order @ A6 )
% 2.81/1.51 => ( order @ ( A5 > A6 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Groups_Oab__semigroup__add,axiom,
% 2.81/1.51 ! [A5: $tType] :
% 2.81/1.51 ( ( ab_semigroup_add @ A5 )
% 2.81/1.51 => ( ab_semigroup_add @ ( set @ A5 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Groups_Ocomm__monoid__add,axiom,
% 2.81/1.51 ! [A5: $tType] :
% 2.81/1.51 ( ( comm_monoid_add @ A5 )
% 2.81/1.51 => ( comm_monoid_add @ ( set @ A5 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Groups_Osemigroup__add,axiom,
% 2.81/1.51 ! [A5: $tType] :
% 2.81/1.51 ( ( semigroup_add @ A5 )
% 2.81/1.51 => ( semigroup_add @ ( set @ A5 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Groups_Omonoid__add,axiom,
% 2.81/1.51 ! [A5: $tType] :
% 2.81/1.51 ( ( monoid_add @ A5 )
% 2.81/1.51 => ( monoid_add @ ( set @ A5 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Orderings_Oorder_1,axiom,
% 2.81/1.51 ! [A5: $tType] : ( order @ ( set @ A5 ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Set_Oset___Groups_Ozero,axiom,
% 2.81/1.51 ! [A5: $tType] :
% 2.81/1.51 ( ( zero @ A5 )
% 2.81/1.51 => ( zero @ ( set @ A5 ) ) ) ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_HOL_Obool___Orderings_Oorder_2,axiom,
% 2.81/1.51 order @ $o ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__monoid__add__imp__le,axiom,
% 2.81/1.51 ordere516151231imp_le @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__ab__semigroup__add,axiom,
% 2.81/1.51 strict2144017051up_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 2.81/1.51 ordere223160158up_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 2.81/1.51 ordere236663937imp_le @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ostrict__ordered__comm__monoid__add,axiom,
% 2.81/1.51 strict797366125id_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__ab__semigroup__add,axiom,
% 2.81/1.51 ordere779506340up_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__comm__monoid__add,axiom,
% 2.81/1.51 ordere216010020id_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Olinordered__ab__group__add,axiom,
% 2.81/1.51 linord219039673up_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ocancel__ab__semigroup__add,axiom,
% 2.81/1.51 cancel146912293up_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ocancel__comm__monoid__add,axiom,
% 2.81/1.51 cancel1352612707id_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oordered__ab__group__add,axiom,
% 2.81/1.51 ordered_ab_group_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ocancel__semigroup__add,axiom,
% 2.81/1.51 cancel_semigroup_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oab__semigroup__add_3,axiom,
% 2.81/1.51 ab_semigroup_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ocomm__monoid__add_4,axiom,
% 2.81/1.51 comm_monoid_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Osemigroup__add_5,axiom,
% 2.81/1.51 semigroup_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Oab__group__add,axiom,
% 2.81/1.51 ab_group_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Omonoid__add_6,axiom,
% 2.81/1.51 monoid_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ogroup__add,axiom,
% 2.81/1.51 group_add @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Orderings_Oorder_7,axiom,
% 2.81/1.51 order @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tcon_Real_Oreal___Groups_Ozero_8,axiom,
% 2.81/1.51 zero @ real ).
% 2.81/1.51
% 2.81/1.51 thf(tfree_0,hypothesis,
% 2.81/1.51 execut510477386_space @ a ).
% 2.81/1.51
% 2.81/1.51 thf(conj_0,conjecture,
% 2.81/1.51 ( xx
% 2.81/1.51 = ( auto_ll_on_flow0 @ a @ f @ x @ x2 @ ( minus_minus @ real @ ss @ tt ) ) ) ).
% 2.81/1.51 ------------------------
% 2.81/1.53 % (26697)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/18Mi)
% 2.81/1.53 % (26695)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/2Mi)
% 2.81/1.53 % (26691)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/183Mi)
% 2.81/1.53 % (26694)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/2Mi)
% 2.81/1.53 % (26695)Instruction limit reached!
% 2.81/1.53 % (26695)------------------------------
% 2.81/1.53 % (26695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.53 % (26695)Termination reason: Unknown
% 2.81/1.53 % (26695)Termination phase: shuffling
% 2.81/1.53
% 2.81/1.53 % (26695)Memory used [KB]: 1279
% 2.81/1.53 % (26695)Time elapsed: 0.002 s
% 2.81/1.53 % (26695)Instructions burned: 2 (million)
% 2.81/1.53 % (26695)------------------------------
% 2.81/1.53 % (26695)------------------------------
% 2.81/1.53 % (26694)Instruction limit reached!
% 2.81/1.53 % (26694)------------------------------
% 2.81/1.53 % (26694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.53 % (26694)Termination reason: Unknown
% 2.81/1.53 % (26694)Termination phase: shuffling
% 2.81/1.53
% 2.81/1.53 % (26694)Memory used [KB]: 1279
% 2.81/1.53 % (26694)Time elapsed: 0.002 s
% 2.81/1.53 % (26694)Instructions burned: 3 (million)
% 2.81/1.53 % (26694)------------------------------
% 2.81/1.53 % (26694)------------------------------
% 2.81/1.53 % (26697)Instruction limit reached!
% 2.81/1.53 % (26697)------------------------------
% 2.81/1.53 % (26697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.53 % (26697)Termination reason: Unknown
% 2.81/1.53 % (26697)Termination phase: shuffling
% 2.81/1.53
% 2.81/1.53 % (26697)Memory used [KB]: 1407
% 2.81/1.53 % (26697)Time elapsed: 0.007 s
% 2.81/1.53 % (26697)Instructions burned: 18 (million)
% 2.81/1.53 % (26697)------------------------------
% 2.81/1.53 % (26697)------------------------------
% 2.81/1.54 % (26692)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/4Mi)
% 2.81/1.54 % (26693)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/27Mi)
% 2.81/1.54 % (26696)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/275Mi)
% 2.81/1.54 % (26692)Instruction limit reached!
% 2.81/1.54 % (26692)------------------------------
% 2.81/1.54 % (26692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.54 % (26692)Termination reason: Unknown
% 2.81/1.54 % (26692)Termination phase: shuffling
% 2.81/1.54
% 2.81/1.54 % (26692)Memory used [KB]: 1279
% 2.81/1.54 % (26692)Time elapsed: 0.005 s
% 2.81/1.54 % (26692)Instructions burned: 5 (million)
% 2.81/1.54 % (26692)------------------------------
% 2.81/1.54 % (26692)------------------------------
% 2.81/1.54 % (26699)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/37Mi)
% 2.81/1.54 % (26700)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/15Mi)
% 2.81/1.54 % (26698)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/3Mi)
% 2.81/1.55 % (26698)Instruction limit reached!
% 2.81/1.55 % (26698)------------------------------
% 2.81/1.55 % (26698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.55 % (26698)Termination reason: Unknown
% 2.81/1.55 % (26698)Termination phase: shuffling
% 2.81/1.55
% 2.81/1.55 % (26698)Memory used [KB]: 1279
% 2.81/1.55 % (26698)Time elapsed: 0.004 s
% 2.81/1.55 % (26698)Instructions burned: 4 (million)
% 2.81/1.55 % (26698)------------------------------
% 2.81/1.55 % (26698)------------------------------
% 2.81/1.55 % (26700)Instruction limit reached!
% 2.81/1.55 % (26700)------------------------------
% 2.81/1.55 % (26700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.55 % (26700)Termination reason: Unknown
% 2.81/1.55 % (26700)Termination phase: shuffling
% 2.81/1.55
% 2.81/1.55 % (26700)Memory used [KB]: 1407
% 2.81/1.55 % (26700)Time elapsed: 0.006 s
% 2.81/1.55 % (26700)Instructions burned: 16 (million)
% 2.81/1.55 % (26700)------------------------------
% 2.81/1.55 % (26700)------------------------------
% 2.81/1.55 % (26699)Instruction limit reached!
% 2.81/1.55 % (26699)------------------------------
% 2.81/1.55 % (26699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.55 % (26699)Termination reason: Unknown
% 2.81/1.55 % (26699)Termination phase: Property scanning
% 2.81/1.55
% 2.81/1.55 % (26699)Memory used [KB]: 1791
% 2.81/1.55 % (26699)Time elapsed: 0.013 s
% 2.81/1.55 % (26699)Instructions burned: 39 (million)
% 2.81/1.55 % (26699)------------------------------
% 2.81/1.55 % (26699)------------------------------
% 2.81/1.55 % (26693)Instruction limit reached!
% 2.81/1.55 % (26693)------------------------------
% 2.81/1.55 % (26693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.55 % (26693)Termination reason: Unknown
% 2.81/1.55 % (26693)Termination phase: shuffling
% 2.81/1.55
% 2.81/1.55 % (26693)Memory used [KB]: 1535
% 2.81/1.55 % (26693)Time elapsed: 0.019 s
% 2.81/1.55 % (26693)Instructions burned: 27 (million)
% 2.81/1.55 % (26693)------------------------------
% 2.81/1.55 % (26693)------------------------------
% 2.81/1.56 % (26701)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/3Mi)
% 2.81/1.56 % (26702)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/1041Mi)
% 2.81/1.56 % (26703)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/7Mi)
% 2.81/1.56 % (26701)Instruction limit reached!
% 2.81/1.56 % (26701)------------------------------
% 2.81/1.56 % (26701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.56 % (26701)Termination reason: Unknown
% 2.81/1.56 % (26701)Termination phase: shuffling
% 2.81/1.56
% 2.81/1.56 % (26701)Memory used [KB]: 1279
% 2.81/1.56 % (26701)Time elapsed: 0.004 s
% 2.81/1.56 % (26701)Instructions burned: 3 (million)
% 2.81/1.56 % (26701)------------------------------
% 2.81/1.56 % (26701)------------------------------
% 2.81/1.56 % (26703)Instruction limit reached!
% 2.81/1.56 % (26703)------------------------------
% 2.81/1.56 % (26703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.56 % (26703)Termination reason: Unknown
% 2.81/1.56 % (26703)Termination phase: shuffling
% 2.81/1.56
% 2.81/1.56 % (26703)Memory used [KB]: 1279
% 2.81/1.56 % (26703)Time elapsed: 0.003 s
% 2.81/1.56 % (26703)Instructions burned: 7 (million)
% 2.81/1.56 % (26703)------------------------------
% 2.81/1.56 % (26703)------------------------------
% 2.81/1.56 % (26704)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/16Mi)
% 2.81/1.57 % (26704)Instruction limit reached!
% 2.81/1.57 % (26704)------------------------------
% 2.81/1.57 % (26704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.57 % (26704)Termination reason: Unknown
% 2.81/1.57 % (26704)Termination phase: shuffling
% 2.81/1.57
% 2.81/1.57 % (26704)Memory used [KB]: 1535
% 2.81/1.57 % (26704)Time elapsed: 0.008 s
% 2.81/1.57 % (26704)Instructions burned: 18 (million)
% 2.81/1.57 % (26704)------------------------------
% 2.81/1.57 % (26704)------------------------------
% 2.81/1.57 % (26707)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/7Mi)
% 2.81/1.57 % (26705)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/3Mi)
% 2.81/1.57 % (26707)Instruction limit reached!
% 2.81/1.57 % (26707)------------------------------
% 2.81/1.57 % (26707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.57 % (26707)Termination reason: Unknown
% 2.81/1.57 % (26707)Termination phase: shuffling
% 2.81/1.57
% 2.81/1.57 % (26707)Memory used [KB]: 1279
% 2.81/1.57 % (26707)Time elapsed: 0.003 s
% 2.81/1.57 % (26707)Instructions burned: 7 (million)
% 2.81/1.57 % (26707)------------------------------
% 2.81/1.57 % (26707)------------------------------
% 2.81/1.57 % (26705)Instruction limit reached!
% 2.81/1.57 % (26705)------------------------------
% 2.81/1.57 % (26705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.57 % (26705)Termination reason: Unknown
% 2.81/1.57 % (26705)Termination phase: shuffling
% 2.81/1.57
% 2.81/1.57 % (26705)Memory used [KB]: 1279
% 2.81/1.57 % (26705)Time elapsed: 0.004 s
% 2.81/1.57 % (26705)Instructions burned: 3 (million)
% 2.81/1.57 % (26705)------------------------------
% 2.81/1.57 % (26705)------------------------------
% 2.81/1.58 % (26706)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/3Mi)
% 2.81/1.58 % (26708)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/3Mi)
% 2.81/1.58 % (26706)Instruction limit reached!
% 2.81/1.58 % (26706)------------------------------
% 2.81/1.58 % (26706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.58 % (26706)Termination reason: Unknown
% 2.81/1.58 % (26706)Termination phase: shuffling
% 2.81/1.58
% 2.81/1.58 % (26708)Instruction limit reached!
% 2.81/1.58 % (26708)------------------------------
% 2.81/1.58 % (26708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.58 % (26708)Termination reason: Unknown
% 2.81/1.58 % (26708)Termination phase: shuffling
% 2.81/1.58
% 2.81/1.58 % (26708)Memory used [KB]: 1279
% 2.81/1.58 % (26708)Time elapsed: 0.002 s
% 2.81/1.58 % (26708)Instructions burned: 4 (million)
% 2.81/1.58 % (26708)------------------------------
% 2.81/1.58 % (26708)------------------------------
% 2.81/1.58 % (26706)Memory used [KB]: 1279
% 2.81/1.58 % (26706)Time elapsed: 0.004 s
% 2.81/1.58 % (26706)Instructions burned: 4 (million)
% 2.81/1.58 % (26706)------------------------------
% 2.81/1.58 % (26706)------------------------------
% 2.81/1.58 % (26709)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/4Mi)
% 2.81/1.58 % (26709)Instruction limit reached!
% 2.81/1.58 % (26709)------------------------------
% 2.81/1.58 % (26709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.58 % (26709)Termination reason: Unknown
% 2.81/1.58 % (26709)Termination phase: shuffling
% 2.81/1.58
% 2.81/1.58 % (26709)Memory used [KB]: 1279
% 2.81/1.58 % (26709)Time elapsed: 0.002 s
% 2.81/1.58 % (26709)Instructions burned: 4 (million)
% 2.81/1.58 % (26709)------------------------------
% 2.81/1.58 % (26709)------------------------------
% 2.81/1.59 % (26711)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/710Mi)
% 2.81/1.59 % (26691)Instruction limit reached!
% 2.81/1.59 % (26691)------------------------------
% 2.81/1.59 % (26691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.81/1.59 % (26691)Termination reason: Unknown
% 2.81/1.59 % (26691)Termination phase: Saturation
% 2.81/1.59
% 2.81/1.59 % (26691)Memory used [KB]: 6780
% 2.81/1.59 % (26691)Time elapsed: 0.061 s
% 2.81/1.59 % (26691)Instructions burned: 184 (million)
% 2.81/1.59 % (26691)------------------------------
% 2.81/1.59 % (26691)------------------------------
% 2.81/1.59 % (26710)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/18Mi)
% 2.81/1.59 % (26713)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/902Mi)
% 2.81/1.59 % (26712)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/6Mi)
% 2.84/1.60 % (26714)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/21Mi)
% 2.84/1.60 % (26712)Instruction limit reached!
% 2.84/1.60 % (26712)------------------------------
% 2.84/1.60 % (26712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.60 % (26712)Termination reason: Unknown
% 2.84/1.60 % (26712)Termination phase: shuffling
% 2.84/1.60
% 2.84/1.60 % (26712)Memory used [KB]: 1279
% 2.84/1.60 % (26712)Time elapsed: 0.006 s
% 2.84/1.60 % (26712)Instructions burned: 7 (million)
% 2.84/1.60 % (26712)------------------------------
% 2.84/1.60 % (26712)------------------------------
% 2.84/1.60 % (26710)Instruction limit reached!
% 2.84/1.60 % (26710)------------------------------
% 2.84/1.60 % (26710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.60 % (26710)Termination reason: Unknown
% 2.84/1.60 % (26710)Termination phase: shuffling
% 2.84/1.60
% 2.84/1.60 % (26710)Memory used [KB]: 1407
% 2.84/1.60 % (26710)Time elapsed: 0.014 s
% 2.84/1.60 % (26710)Instructions burned: 19 (million)
% 2.84/1.60 % (26710)------------------------------
% 2.84/1.60 % (26710)------------------------------
% 2.84/1.61 % (26714)Instruction limit reached!
% 2.84/1.61 % (26714)------------------------------
% 2.84/1.61 % (26714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.61 % (26714)Termination reason: Unknown
% 2.84/1.61 % (26714)Termination phase: shuffling
% 2.84/1.61
% 2.84/1.61 % (26714)Memory used [KB]: 1535
% 2.84/1.61 % (26714)Time elapsed: 0.008 s
% 2.84/1.61 % (26714)Instructions burned: 21 (million)
% 2.84/1.61 % (26714)------------------------------
% 2.84/1.61 % (26714)------------------------------
% 2.84/1.62 % (26717)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/377Mi)
% 2.84/1.62 % (26715)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/5Mi)
% 2.84/1.62 % (26716)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_26592 for (2999ds/6Mi)
% 2.84/1.62 % (26715)Instruction limit reached!
% 2.84/1.62 % (26715)------------------------------
% 2.84/1.62 % (26715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.62 % (26715)Termination reason: Unknown
% 2.84/1.62 % (26715)Termination phase: shuffling
% 2.84/1.62
% 2.84/1.62 % (26715)Memory used [KB]: 1279
% 2.84/1.62 % (26715)Time elapsed: 0.005 s
% 2.84/1.62 % (26715)Instructions burned: 6 (million)
% 2.84/1.62 % (26715)------------------------------
% 2.84/1.62 % (26715)------------------------------
% 2.84/1.62 % (26716)Instruction limit reached!
% 2.84/1.62 % (26716)------------------------------
% 2.84/1.62 % (26716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.62 % (26716)Termination reason: Unknown
% 2.84/1.62 % (26716)Termination phase: shuffling
% 2.84/1.62
% 2.84/1.62 % (26716)Memory used [KB]: 1279
% 2.84/1.62 % (26716)Time elapsed: 0.005 s
% 2.84/1.62 % (26716)Instructions burned: 6 (million)
% 2.84/1.62 % (26716)------------------------------
% 2.84/1.62 % (26716)------------------------------
% 2.84/1.64 % (26718)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/779Mi)
% 2.84/1.64 % (26719)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/19Mi)
% 2.84/1.64 % (26696)Instruction limit reached!
% 2.84/1.64 % (26696)------------------------------
% 2.84/1.64 % (26696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.64 % (26696)Termination reason: Unknown
% 2.84/1.64 % (26696)Termination phase: Saturation
% 2.84/1.64
% 2.84/1.64 % (26696)Memory used [KB]: 6652
% 2.84/1.64 % (26696)Time elapsed: 0.107 s
% 2.84/1.64 % (26696)Instructions burned: 275 (million)
% 2.84/1.64 % (26696)------------------------------
% 2.84/1.64 % (26696)------------------------------
% 2.84/1.65 % (26719)Instruction limit reached!
% 2.84/1.65 % (26719)------------------------------
% 2.84/1.65 % (26719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.65 % (26719)Termination reason: Unknown
% 2.84/1.65 % (26719)Termination phase: shuffling
% 2.84/1.65
% 2.84/1.65 % (26719)Memory used [KB]: 1663
% 2.84/1.65 % (26719)Time elapsed: 0.011 s
% 2.84/1.65 % (26719)Instructions burned: 19 (million)
% 2.84/1.65 % (26719)------------------------------
% 2.84/1.65 % (26719)------------------------------
% 2.84/1.65 % (26720)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/879Mi)
% 2.84/1.66 % (26721)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/17Mi)
% 2.84/1.67 % (26721)Instruction limit reached!
% 2.84/1.67 % (26721)------------------------------
% 2.84/1.67 % (26721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.67 % (26721)Termination reason: Unknown
% 2.84/1.67 % (26721)Termination phase: shuffling
% 2.84/1.67
% 2.84/1.67 % (26721)Memory used [KB]: 1407
% 2.84/1.67 % (26721)Time elapsed: 0.008 s
% 2.84/1.67 % (26721)Instructions burned: 18 (million)
% 2.84/1.67 % (26721)------------------------------
% 2.84/1.67 % (26721)------------------------------
% 2.84/1.68 % (26722)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/3Mi)
% 2.84/1.68 % (26722)Instruction limit reached!
% 2.84/1.68 % (26722)------------------------------
% 2.84/1.68 % (26722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.68 % (26722)Termination reason: Unknown
% 2.84/1.68 % (26722)Termination phase: shuffling
% 2.84/1.68
% 2.84/1.68 % (26722)Memory used [KB]: 1279
% 2.84/1.68 % (26722)Time elapsed: 0.003 s
% 2.84/1.68 % (26722)Instructions burned: 4 (million)
% 2.84/1.68 % (26722)------------------------------
% 2.84/1.68 % (26722)------------------------------
% 2.84/1.69 % (26723)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/30Mi)
% 2.84/1.70 % (26723)Instruction limit reached!
% 2.84/1.70 % (26723)------------------------------
% 2.84/1.70 % (26723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.70 % (26723)Termination reason: Unknown
% 2.84/1.70 % (26723)Termination phase: shuffling
% 2.84/1.70
% 2.84/1.70 % (26723)Memory used [KB]: 1535
% 2.84/1.70 % (26723)Time elapsed: 0.012 s
% 2.84/1.70 % (26723)Instructions burned: 31 (million)
% 2.84/1.70 % (26723)------------------------------
% 2.84/1.70 % (26723)------------------------------
% 2.84/1.71 % (26724)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_26592 for (2998ds/127Mi)
% 2.84/1.74 % (26717)Instruction limit reached!
% 2.84/1.74 % (26717)------------------------------
% 2.84/1.74 % (26717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.74 % (26717)Termination reason: Unknown
% 2.84/1.74 % (26717)Termination phase: Saturation
% 2.84/1.74
% 2.84/1.74 % (26717)Memory used [KB]: 7291
% 2.84/1.74 % (26717)Time elapsed: 0.124 s
% 2.84/1.74 % (26717)Instructions burned: 378 (million)
% 2.84/1.74 % (26717)------------------------------
% 2.84/1.74 % (26717)------------------------------
% 2.84/1.75 % (26725)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/100Mi)
% 2.84/1.75 % (26724)Instruction limit reached!
% 2.84/1.75 % (26724)------------------------------
% 2.84/1.75 % (26724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.75 % (26724)Termination reason: Unknown
% 2.84/1.75 % (26724)Termination phase: Saturation
% 2.84/1.75
% 2.84/1.75 % (26724)Memory used [KB]: 6524
% 2.84/1.75 % (26724)Time elapsed: 0.043 s
% 2.84/1.75 % (26724)Instructions burned: 129 (million)
% 2.84/1.75 % (26724)------------------------------
% 2.84/1.75 % (26724)------------------------------
% 2.84/1.76 % (26726)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/3Mi)
% 2.84/1.76 % (26726)Instruction limit reached!
% 2.84/1.76 % (26726)------------------------------
% 2.84/1.76 % (26726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.76 % (26726)Termination reason: Unknown
% 2.84/1.76 % (26726)Termination phase: shuffling
% 2.84/1.76
% 2.84/1.76 % (26726)Memory used [KB]: 1279
% 2.84/1.76 % (26726)Time elapsed: 0.002 s
% 2.84/1.76 % (26726)Instructions burned: 3 (million)
% 2.84/1.76 % (26726)------------------------------
% 2.84/1.76 % (26726)------------------------------
% 2.84/1.77 % (26727)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/20Mi)
% 2.84/1.77 % (26725)Instruction limit reached!
% 2.84/1.77 % (26725)------------------------------
% 2.84/1.77 % (26725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.77 % (26725)Termination reason: Unknown
% 2.84/1.77 % (26725)Termination phase: Saturation
% 2.84/1.77
% 2.84/1.77 % (26725)Memory used [KB]: 6396
% 2.84/1.77 % (26725)Time elapsed: 0.027 s
% 2.84/1.77 % (26725)Instructions burned: 100 (million)
% 2.84/1.77 % (26725)------------------------------
% 2.84/1.77 % (26725)------------------------------
% 2.84/1.78 % (26727)Instruction limit reached!
% 2.84/1.78 % (26727)------------------------------
% 2.84/1.78 % (26727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.78 % (26727)Termination reason: Unknown
% 2.84/1.78 % (26727)Termination phase: shuffling
% 2.84/1.78
% 2.84/1.78 % (26727)Memory used [KB]: 1535
% 2.84/1.78 % (26727)Time elapsed: 0.009 s
% 2.84/1.78 % (26727)Instructions burned: 20 (million)
% 2.84/1.78 % (26727)------------------------------
% 2.84/1.78 % (26727)------------------------------
% 2.84/1.78 % (26728)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/86Mi)
% 2.84/1.79 % (26729)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/107Mi)
% 2.84/1.80 % (26711)Instruction limit reached!
% 2.84/1.80 % (26711)------------------------------
% 2.84/1.80 % (26711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.80 % (26711)Termination reason: Unknown
% 2.84/1.80 % (26711)Termination phase: Saturation
% 2.84/1.80
% 2.84/1.80 % (26711)Memory used [KB]: 7675
% 2.84/1.80 % (26711)Time elapsed: 0.231 s
% 2.84/1.80 % (26711)Instructions burned: 711 (million)
% 2.84/1.80 % (26711)------------------------------
% 2.84/1.80 % (26711)------------------------------
% 2.84/1.81 % (26730)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/39Mi)
% 2.84/1.81 % (26728)Instruction limit reached!
% 2.84/1.81 % (26728)------------------------------
% 2.84/1.81 % (26728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.81 % (26728)Termination reason: Unknown
% 2.84/1.81 % (26728)Termination phase: Property scanning
% 2.84/1.81
% 2.84/1.81 % (26728)Memory used [KB]: 1791
% 2.84/1.81 % (26728)Time elapsed: 0.025 s
% 2.84/1.81 % (26728)Instructions burned: 86 (million)
% 2.84/1.81 % (26728)------------------------------
% 2.84/1.81 % (26728)------------------------------
% 2.84/1.82 % (26730)Instruction limit reached!
% 2.84/1.82 % (26730)------------------------------
% 2.84/1.82 % (26730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.82 % (26730)Termination reason: Unknown
% 2.84/1.82 % (26730)Termination phase: Property scanning
% 2.84/1.82
% 2.84/1.82 % (26730)Memory used [KB]: 1791
% 2.84/1.82 % (26730)Time elapsed: 0.012 s
% 2.84/1.82 % (26730)Instructions burned: 41 (million)
% 2.84/1.82 % (26730)------------------------------
% 2.84/1.82 % (26730)------------------------------
% 2.84/1.82 % (26731)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_26592 for (2997ds/448Mi)
% 2.84/1.82 % (26729)Instruction limit reached!
% 2.84/1.82 % (26729)------------------------------
% 2.84/1.82 % (26729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.82 % (26729)Termination reason: Unknown
% 2.84/1.82 % (26729)Termination phase: Saturation
% 2.84/1.82
% 2.84/1.82 % (26729)Memory used [KB]: 6396
% 2.84/1.82 % (26729)Time elapsed: 0.035 s
% 2.84/1.82 % (26729)Instructions burned: 109 (million)
% 2.84/1.82 % (26729)------------------------------
% 2.84/1.82 % (26729)------------------------------
% 2.84/1.83 % (26732)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/46Mi)
% 2.84/1.83 % (26733)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/98Mi)
% 2.84/1.84 % (26732)Instruction limit reached!
% 2.84/1.84 % (26732)------------------------------
% 2.84/1.84 % (26732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.84 % (26732)Termination reason: Unknown
% 2.84/1.84 % (26732)Termination phase: SInE selection
% 2.84/1.84
% 2.84/1.84 % (26732)Memory used [KB]: 1663
% 2.84/1.84 % (26732)Time elapsed: 0.015 s
% 2.84/1.84 % (26732)Instructions burned: 48 (million)
% 2.84/1.84 % (26732)------------------------------
% 2.84/1.84 % (26732)------------------------------
% 2.84/1.85 % (26713)Instruction limit reached!
% 2.84/1.85 % (26713)------------------------------
% 2.84/1.85 % (26713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.85 % (26713)Termination reason: Unknown
% 2.84/1.85 % (26713)Termination phase: Saturation
% 2.84/1.85
% 2.84/1.85 % (26713)Memory used [KB]: 7675
% 2.84/1.85 % (26713)Time elapsed: 0.258 s
% 2.84/1.85 % (26713)Instructions burned: 902 (million)
% 2.84/1.85 % (26713)------------------------------
% 2.84/1.85 % (26713)------------------------------
% 2.84/1.85 % (26734)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/507Mi)
% 2.84/1.86 % (26735)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/149Mi)
% 2.84/1.86 % (26733)Instruction limit reached!
% 2.84/1.86 % (26733)------------------------------
% 2.84/1.86 % (26733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.86 % (26733)Termination reason: Unknown
% 2.84/1.86 % (26733)Termination phase: Saturation
% 2.84/1.86
% 2.84/1.86 % (26733)Memory used [KB]: 1918
% 2.84/1.86 % (26733)Time elapsed: 0.030 s
% 2.84/1.86 % (26733)Instructions burned: 101 (million)
% 2.84/1.86 % (26733)------------------------------
% 2.84/1.86 % (26733)------------------------------
% 2.84/1.87 % (26702)Instruction limit reached!
% 2.84/1.87 % (26702)------------------------------
% 2.84/1.87 % (26702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.87 % (26702)Termination reason: Unknown
% 2.84/1.87 % (26702)Termination phase: Saturation
% 2.84/1.87
% 2.84/1.87 % (26702)Memory used [KB]: 8699
% 2.84/1.87 % (26702)Time elapsed: 0.311 s
% 2.84/1.87 % (26702)Instructions burned: 1043 (million)
% 2.84/1.87 % (26702)------------------------------
% 2.84/1.87 % (26702)------------------------------
% 2.84/1.87 % (26736)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/39Mi)
% 2.84/1.88 % (26737)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/6Mi)
% 2.84/1.88 % (26737)Instruction limit reached!
% 2.84/1.88 % (26737)------------------------------
% 2.84/1.88 % (26737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.88 % (26737)Termination reason: Unknown
% 2.84/1.88 % (26737)Termination phase: shuffling
% 2.84/1.88
% 2.84/1.88 % (26737)Memory used [KB]: 1407
% 2.84/1.88 % (26737)Time elapsed: 0.003 s
% 2.84/1.88 % (26737)Instructions burned: 7 (million)
% 2.84/1.88 % (26737)------------------------------
% 2.84/1.88 % (26737)------------------------------
% 2.84/1.89 % (26736)Instruction limit reached!
% 2.84/1.89 % (26736)------------------------------
% 2.84/1.89 % (26736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.89 % (26736)Termination reason: Unknown
% 2.84/1.89 % (26736)Termination phase: Property scanning
% 2.84/1.89
% 2.84/1.89 % (26736)Memory used [KB]: 1535
% 2.84/1.89 % (26736)Time elapsed: 0.015 s
% 2.84/1.89 % (26736)Instructions burned: 39 (million)
% 2.84/1.89 % (26736)------------------------------
% 2.84/1.89 % (26736)------------------------------
% 2.84/1.89 % (26738)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/1087Mi)
% 2.84/1.90 % (26739)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/47Mi)
% 2.84/1.90 % (26735)Instruction limit reached!
% 2.84/1.90 % (26735)------------------------------
% 2.84/1.90 % (26735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.90 % (26735)Termination reason: Unknown
% 2.84/1.90 % (26735)Termination phase: Saturation
% 2.84/1.90
% 2.84/1.90 % (26735)Memory used [KB]: 6652
% 2.84/1.90 % (26735)Time elapsed: 0.047 s
% 2.84/1.90 % (26735)Instructions burned: 151 (million)
% 2.84/1.90 % (26735)------------------------------
% 2.84/1.90 % (26735)------------------------------
% 2.84/1.90 % (26718)Instruction limit reached!
% 2.84/1.90 % (26718)------------------------------
% 2.84/1.90 % (26718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.90 % (26718)Termination reason: Unknown
% 2.84/1.90 % (26718)Termination phase: Saturation
% 2.84/1.90
% 2.84/1.90 % (26718)Memory used [KB]: 7675
% 2.84/1.90 % (26718)Time elapsed: 0.269 s
% 2.84/1.90 % (26718)Instructions burned: 779 (million)
% 2.84/1.90 % (26718)------------------------------
% 2.84/1.90 % (26718)------------------------------
% 2.84/1.91 % (26740)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/44Mi)
% 2.84/1.91 % (26739)Instruction limit reached!
% 2.84/1.91 % (26739)------------------------------
% 2.84/1.91 % (26739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.91 % (26739)Termination reason: Unknown
% 2.84/1.91 % (26739)Termination phase: Preprocessing 2
% 2.84/1.91
% 2.84/1.91 % (26739)Memory used [KB]: 1663
% 2.84/1.91 % (26739)Time elapsed: 0.017 s
% 2.84/1.91 % (26739)Instructions burned: 49 (million)
% 2.84/1.91 % (26739)------------------------------
% 2.84/1.91 % (26739)------------------------------
% 2.84/1.91 % (26741)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/432Mi)
% 2.84/1.92 % (26720)Refutation not found, non-redundant clauses discarded% (26720)------------------------------
% 2.84/1.92 % (26720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.92 % (26720)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.84/1.92
% 2.84/1.92 % (26720)Memory used [KB]: 7675
% 2.84/1.92 % (26720)Time elapsed: 0.269 s
% 2.84/1.92 % (26720)Instructions burned: 826 (million)
% 2.84/1.92 % (26720)------------------------------
% 2.84/1.92 % (26720)------------------------------
% 2.84/1.92 % (26742)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_26592 for (2996ds/62Mi)
% 2.84/1.92 % (26740)Instruction limit reached!
% 2.84/1.92 % (26740)------------------------------
% 2.84/1.92 % (26740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.92 % (26740)Termination reason: Unknown
% 2.84/1.92 % (26740)Termination phase: Property scanning
% 2.84/1.92
% 2.84/1.92 % (26740)Memory used [KB]: 1791
% 2.84/1.92 % (26740)Time elapsed: 0.013 s
% 2.84/1.92 % (26740)Instructions burned: 46 (million)
% 2.84/1.92 % (26740)------------------------------
% 2.84/1.92 % (26740)------------------------------
% 2.84/1.93 % (26743)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/31Mi)
% 2.84/1.93 % (26744)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/96Mi)
% 2.84/1.94 % (26742)Instruction limit reached!
% 2.84/1.94 % (26742)------------------------------
% 2.84/1.94 % (26742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.94 % (26742)Termination reason: Unknown
% 2.84/1.94 % (26742)Termination phase: Property scanning
% 2.84/1.94
% 2.84/1.94 % (26742)Memory used [KB]: 1791
% 2.84/1.94 % (26742)Time elapsed: 0.019 s
% 2.84/1.94 % (26742)Instructions burned: 62 (million)
% 2.84/1.94 % (26742)------------------------------
% 2.84/1.94 % (26742)------------------------------
% 2.84/1.94 % (26743)Instruction limit reached!
% 2.84/1.94 % (26743)------------------------------
% 2.84/1.94 % (26743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.94 % (26743)Termination reason: Unknown
% 2.84/1.94 % (26743)Termination phase: Property scanning
% 2.84/1.94
% 2.84/1.94 % (26743)Memory used [KB]: 1535
% 2.84/1.94 % (26743)Time elapsed: 0.013 s
% 2.84/1.94 % (26743)Instructions burned: 32 (million)
% 2.84/1.94 % (26743)------------------------------
% 2.84/1.94 % (26743)------------------------------
% 2.84/1.95 % (26731)Instruction limit reached!
% 2.84/1.95 % (26731)------------------------------
% 2.84/1.95 % (26731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.95 % (26731)Termination reason: Unknown
% 2.84/1.95 % (26731)Termination phase: Saturation
% 2.84/1.95
% 2.84/1.95 % (26731)Memory used [KB]: 7547
% 2.84/1.95 % (26731)Time elapsed: 0.134 s
% 2.84/1.95 % (26731)Instructions burned: 449 (million)
% 2.84/1.95 % (26731)------------------------------
% 2.84/1.95 % (26731)------------------------------
% 2.84/1.95 % (26745)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/453Mi)
% 2.84/1.95 % (26746)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/71Mi)
% 2.84/1.96 % (26747)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/83Mi)
% 2.84/1.96 % (26744)Instruction limit reached!
% 2.84/1.96 % (26744)------------------------------
% 2.84/1.96 % (26744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.96 % (26744)Termination reason: Unknown
% 2.84/1.96 % (26744)Termination phase: Saturation
% 2.84/1.96
% 2.84/1.96 % (26744)Memory used [KB]: 6396
% 2.84/1.96 % (26744)Time elapsed: 0.028 s
% 2.84/1.96 % (26744)Instructions burned: 97 (million)
% 2.84/1.96 % (26744)------------------------------
% 2.84/1.96 % (26744)------------------------------
% 2.84/1.97 % (26748)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/11Mi)
% 2.84/1.97 % (26746)Instruction limit reached!
% 2.84/1.97 % (26746)------------------------------
% 2.84/1.97 % (26746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.97 % (26746)Termination reason: Unknown
% 2.84/1.97 % (26746)Termination phase: Equality resolution with deletion
% 2.84/1.97
% 2.84/1.97 % (26746)Memory used [KB]: 1791
% 2.84/1.97 % (26746)Time elapsed: 0.022 s
% 2.84/1.97 % (26746)Instructions burned: 72 (million)
% 2.84/1.97 % (26746)------------------------------
% 2.84/1.97 % (26746)------------------------------
% 2.84/1.97 % (26748)Instruction limit reached!
% 2.84/1.97 % (26748)------------------------------
% 2.84/1.97 % (26748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.97 % (26748)Termination reason: Unknown
% 2.84/1.97 % (26748)Termination phase: shuffling
% 2.84/1.97
% 2.84/1.97 % (26748)Memory used [KB]: 1407
% 2.84/1.97 % (26748)Time elapsed: 0.004 s
% 2.84/1.97 % (26748)Instructions burned: 11 (million)
% 2.84/1.97 % (26748)------------------------------
% 2.84/1.97 % (26748)------------------------------
% 2.84/1.98 % (26749)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/41Mi)
% 2.84/1.98 % (26750)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/6Mi)
% 2.84/1.98 % (26747)Instruction limit reached!
% 2.84/1.98 % (26747)------------------------------
% 2.84/1.98 % (26747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.98 % (26747)Termination reason: Unknown
% 2.84/1.98 % (26747)Termination phase: Saturation
% 2.84/1.98
% 2.84/1.98 % (26747)Memory used [KB]: 6268
% 2.84/1.98 % (26747)Time elapsed: 0.025 s
% 2.84/1.98 % (26747)Instructions burned: 83 (million)
% 2.84/1.98 % (26747)------------------------------
% 2.84/1.98 % (26747)------------------------------
% 2.84/1.98 % (26750)Instruction limit reached!
% 2.84/1.98 % (26750)------------------------------
% 2.84/1.98 % (26750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.98 % (26750)Termination reason: Unknown
% 2.84/1.98 % (26750)Termination phase: shuffling
% 2.84/1.98
% 2.84/1.98 % (26750)Memory used [KB]: 1279
% 2.84/1.98 % (26750)Time elapsed: 0.003 s
% 2.84/1.98 % (26750)Instructions burned: 7 (million)
% 2.84/1.98 % (26750)------------------------------
% 2.84/1.98 % (26750)------------------------------
% 2.84/1.99 % (26749)Instruction limit reached!
% 2.84/1.99 % (26749)------------------------------
% 2.84/1.99 % (26749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/1.99 % (26749)Termination reason: Unknown
% 2.84/1.99 % (26749)Termination phase: Property scanning
% 2.84/1.99
% 2.84/1.99 % (26749)Memory used [KB]: 1918
% 2.84/1.99 % (26749)Time elapsed: 0.012 s
% 2.84/1.99 % (26749)Instructions burned: 42 (million)
% 2.84/1.99 % (26749)------------------------------
% 2.84/1.99 % (26749)------------------------------
% 2.84/1.99 % (26751)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/150Mi)
% 2.84/1.99 % (26752)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/343Mi)
% 2.84/2.00 % (26734)Instruction limit reached!
% 2.84/2.00 % (26734)------------------------------
% 2.84/2.00 % (26734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.84/2.00 % (26734)Termination reason: Unknown
% 2.84/2.00 % (26734)Termination phase: Saturation
% 2.84/2.00
% 2.84/2.00 % (26734)Memory used [KB]: 7291
% 2.84/2.00 % (26734)Time elapsed: 0.149 s
% 2.84/2.00 % (26734)Instructions burned: 507 (million)
% 2.84/2.00 % (26734)------------------------------
% 2.84/2.00 % (26734)------------------------------
% 2.84/2.01 % (26754)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/253Mi)
% 2.84/2.01 % (26753)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_26592 for (2995ds/109Mi)
% 6.25/2.04 % (26751)Instruction limit reached!
% 6.25/2.04 % (26751)------------------------------
% 6.25/2.04 % (26751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.04 % (26751)Termination reason: Unknown
% 6.25/2.04 % (26751)Termination phase: Saturation
% 6.25/2.04
% 6.25/2.04 % (26751)Memory used [KB]: 6780
% 6.25/2.04 % (26751)Time elapsed: 0.047 s
% 6.25/2.04 % (26751)Instructions burned: 150 (million)
% 6.25/2.04 % (26751)------------------------------
% 6.25/2.04 % (26751)------------------------------
% 6.25/2.05 % (26755)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/140Mi)
% 6.25/2.05 % (26741)Instruction limit reached!
% 6.25/2.05 % (26741)------------------------------
% 6.25/2.05 % (26741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.05 % (26741)Termination reason: Unknown
% 6.25/2.05 % (26741)Termination phase: Saturation
% 6.25/2.05
% 6.25/2.05 % (26741)Memory used [KB]: 3709
% 6.25/2.05 % (26741)Time elapsed: 0.137 s
% 6.25/2.05 % (26741)Instructions burned: 434 (million)
% 6.25/2.05 % (26741)------------------------------
% 6.25/2.05 % (26741)------------------------------
% 6.25/2.06 % (26756)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/614Mi)
% 6.25/2.06 % (26753)Instruction limit reached!
% 6.25/2.06 % (26753)------------------------------
% 6.25/2.06 % (26753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.06 % (26753)Termination reason: Unknown
% 6.25/2.06 % (26753)Termination phase: Saturation
% 6.25/2.06
% 6.25/2.06 % (26753)Memory used [KB]: 6396
% 6.25/2.06 % (26753)Time elapsed: 0.053 s
% 6.25/2.06 % (26753)Instructions burned: 109 (million)
% 6.25/2.06 % (26753)------------------------------
% 6.25/2.06 % (26753)------------------------------
% 6.25/2.07 % (26757)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/202Mi)
% 6.25/2.08 % (26754)Instruction limit reached!
% 6.25/2.08 % (26754)------------------------------
% 6.25/2.08 % (26754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.08 % (26754)Termination reason: Unknown
% 6.25/2.08 % (26754)Termination phase: Saturation
% 6.25/2.08
% 6.25/2.08 % (26754)Memory used [KB]: 6908
% 6.25/2.08 % (26754)Time elapsed: 0.099 s
% 6.25/2.08 % (26754)Instructions burned: 255 (million)
% 6.25/2.08 % (26754)------------------------------
% 6.25/2.08 % (26754)------------------------------
% 6.25/2.09 % (26755)Instruction limit reached!
% 6.25/2.09 % (26755)------------------------------
% 6.25/2.09 % (26755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.09 % (26755)Termination reason: Unknown
% 6.25/2.09 % (26755)Termination phase: Saturation
% 6.25/2.09
% 6.25/2.09 % (26755)Memory used [KB]: 6524
% 6.25/2.09 % (26755)Time elapsed: 0.065 s
% 6.25/2.09 % (26755)Instructions burned: 142 (million)
% 6.25/2.09 % (26755)------------------------------
% 6.25/2.09 % (26755)------------------------------
% 6.25/2.09 % (26745)Instruction limit reached!
% 6.25/2.09 % (26745)------------------------------
% 6.25/2.09 % (26745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.09 % (26745)Termination reason: Unknown
% 6.25/2.09 % (26745)Termination phase: Saturation
% 6.25/2.09
% 6.25/2.09 % (26745)Memory used [KB]: 7164
% 6.25/2.09 % (26745)Time elapsed: 0.161 s
% 6.25/2.09 % (26745)Instructions burned: 455 (million)
% 6.25/2.09 % (26745)------------------------------
% 6.25/2.09 % (26745)------------------------------
% 6.25/2.09 % (26758)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/339Mi)
% 6.25/2.10 % (26759)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/283Mi)
% 6.25/2.10 % (26752)Instruction limit reached!
% 6.25/2.10 % (26752)------------------------------
% 6.25/2.10 % (26752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.25/2.10 % (26752)Termination reason: Unknown
% 6.25/2.10 % (26752)Termination phase: Saturation
% 6.25/2.10
% 6.25/2.10 % (26752)Memory used [KB]: 7036
% 6.25/2.10 % (26752)Time elapsed: 0.108 s
% 6.25/2.10 % (26752)Instructions burned: 343 (million)
% 6.25/2.10 % (26752)------------------------------
% 6.25/2.10 % (26752)------------------------------
% 6.25/2.10 % (26760)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/134Mi)
% 6.25/2.11 % (26761)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_26592 for (2994ds/298Mi)
% 6.77/2.14 % (26760)Instruction limit reached!
% 6.77/2.14 % (26760)------------------------------
% 6.77/2.14 % (26760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.77/2.14 % (26760)Termination reason: Unknown
% 6.77/2.14 % (26760)Termination phase: Saturation
% 6.77/2.14
% 6.77/2.14 % (26760)Memory used [KB]: 6652
% 6.77/2.14 % (26760)Time elapsed: 0.041 s
% 6.77/2.14 % (26760)Instructions burned: 136 (million)
% 6.77/2.14 % (26760)------------------------------
% 6.77/2.14 % (26760)------------------------------
% 6.77/2.14 % (26757)Instruction limit reached!
% 6.77/2.14 % (26757)------------------------------
% 6.77/2.14 % (26757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.77/2.14 % (26757)Termination reason: Unknown
% 6.77/2.14 % (26757)Termination phase: Saturation
% 6.77/2.14
% 6.77/2.14 % (26757)Memory used [KB]: 6652
% 6.77/2.14 % (26757)Time elapsed: 0.074 s
% 6.77/2.14 % (26757)Instructions burned: 204 (million)
% 6.77/2.14 % (26757)------------------------------
% 6.77/2.14 % (26757)------------------------------
% 6.77/2.15 % (26762)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_26592 for (2993ds/192Mi)
% 6.77/2.15 % (26763)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_26592 for (2993ds/258Mi)
% 6.77/2.19 % (26759)Instruction limit reached!
% 6.77/2.19 % (26759)------------------------------
% 6.77/2.19 % (26759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.77/2.19 % (26759)Termination reason: Unknown
% 6.77/2.19 % (26759)Termination phase: Saturation
% 6.77/2.19
% 6.77/2.19 % (26759)Memory used [KB]: 7291
% 6.77/2.19 % (26759)Time elapsed: 0.087 s
% 6.77/2.19 % (26759)Instructions burned: 285 (million)
% 6.77/2.19 % (26759)------------------------------
% 6.77/2.19 % (26759)------------------------------
% 6.77/2.20 % (26758)Instruction limit reached!
% 6.77/2.20 % (26758)------------------------------
% 6.77/2.20 % (26758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.77/2.20 % (26758)Termination reason: Unknown
% 6.77/2.20 % (26758)Termination phase: Saturation
% 6.77/2.20
% 6.77/2.20 % (26758)Memory used [KB]: 7291
% 7.08/2.20 % (26758)Time elapsed: 0.104 s
% 7.08/2.20 % (26761)Instruction limit reached!
% 7.08/2.20 % (26761)------------------------------
% 7.08/2.20 % (26761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.20 % (26761)Termination reason: Unknown
% 7.08/2.20 % (26761)Termination phase: Saturation
% 7.08/2.20
% 7.08/2.20 % (26761)Memory used [KB]: 7547
% 7.08/2.20 % (26761)Time elapsed: 0.087 s
% 7.08/2.20 % (26761)Instructions burned: 299 (million)
% 7.08/2.20 % (26761)------------------------------
% 7.08/2.20 % (26761)------------------------------
% 7.08/2.20 % (26758)Instructions burned: 340 (million)
% 7.08/2.20 % (26758)------------------------------
% 7.08/2.20 % (26758)------------------------------
% 7.08/2.20 % (26764)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_26592 for (2993ds/90Mi)
% 7.08/2.21 % (26765)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_26592 for (2993ds/231Mi)
% 7.08/2.21 % (26766)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_26592 for (2993ds/458Mi)
% 7.08/2.21 % (26762)Refutation not found, incomplete strategy
% 7.08/2.21 % (26762)------------------------------
% 7.08/2.21 % (26762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.21 % (26762)Termination reason: Refutation not found, incomplete strategy
% 7.08/2.21
% 7.08/2.21
% 7.08/2.21 % (26762)Memory used [KB]: 7164
% 7.08/2.21 % (26762)Time elapsed: 0.056 s
% 7.08/2.21 % (26762)Instructions burned: 184 (million)
% 7.08/2.21 % (26762)------------------------------
% 7.08/2.21 % (26762)------------------------------
% 7.08/2.22 % (26767)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/31Mi)
% 7.08/2.22 % (26738)Instruction limit reached!
% 7.08/2.22 % (26738)------------------------------
% 7.08/2.22 % (26738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.22 % (26738)Termination reason: Unknown
% 7.08/2.22 % (26738)Termination phase: Saturation
% 7.08/2.22
% 7.08/2.22 % (26738)Memory used [KB]: 8187
% 7.08/2.22 % (26738)Time elapsed: 0.335 s
% 7.08/2.22 % (26738)Instructions burned: 1088 (million)
% 7.08/2.22 % (26738)------------------------------
% 7.08/2.22 % (26738)------------------------------
% 7.08/2.22 % (26764)Instruction limit reached!
% 7.08/2.22 % (26764)------------------------------
% 7.08/2.22 % (26764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.22 % (26764)Termination reason: Unknown
% 7.08/2.22 % (26764)Termination phase: Saturation
% 7.08/2.22
% 7.08/2.22 % (26764)Memory used [KB]: 6268
% 7.08/2.22 % (26764)Time elapsed: 0.027 s
% 7.08/2.22 % (26764)Instructions burned: 92 (million)
% 7.08/2.22 % (26764)------------------------------
% 7.08/2.22 % (26764)------------------------------
% 7.08/2.23 % (26767)Instruction limit reached!
% 7.08/2.23 % (26767)------------------------------
% 7.08/2.23 % (26767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.23 % (26767)Termination reason: Unknown
% 7.08/2.23 % (26767)Termination phase: Property scanning
% 7.08/2.23
% 7.08/2.23 % (26767)Memory used [KB]: 1535
% 7.08/2.23 % (26767)Time elapsed: 0.011 s
% 7.08/2.23 % (26767)Instructions burned: 31 (million)
% 7.08/2.23 % (26767)------------------------------
% 7.08/2.23 % (26767)------------------------------
% 7.08/2.23 % (26768)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/297Mi)
% 7.08/2.23 % (26769)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/987Mi)
% 7.08/2.23 % (26763)Instruction limit reached!
% 7.08/2.23 % (26763)------------------------------
% 7.08/2.23 % (26763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.23 % (26763)Termination reason: Unknown
% 7.08/2.23 % (26763)Termination phase: Saturation
% 7.08/2.23
% 7.08/2.23 % (26763)Memory used [KB]: 6908
% 7.08/2.23 % (26763)Time elapsed: 0.079 s
% 7.08/2.23 % (26763)Instructions burned: 258 (million)
% 7.08/2.23 % (26763)------------------------------
% 7.08/2.23 % (26763)------------------------------
% 7.08/2.24 % (26770)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/182Mi)
% 7.08/2.24 % (26756)Instruction limit reached!
% 7.08/2.24 % (26756)------------------------------
% 7.08/2.24 % (26756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.24 % (26756)Termination reason: Unknown
% 7.08/2.24 % (26756)Termination phase: Saturation
% 7.08/2.24
% 7.08/2.24 % (26756)Memory used [KB]: 7419
% 7.08/2.24 % (26756)Time elapsed: 0.178 s
% 7.08/2.24 % (26756)Instructions burned: 614 (million)
% 7.08/2.24 % (26756)------------------------------
% 7.08/2.24 % (26756)------------------------------
% 7.08/2.24 % (26771)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/182Mi)
% 7.08/2.25 % (26772)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/154Mi)
% 7.08/2.27 % (26765)Instruction limit reached!
% 7.08/2.27 % (26765)------------------------------
% 7.08/2.27 % (26765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.27 % (26765)Termination reason: Unknown
% 7.08/2.27 % (26765)Termination phase: Saturation
% 7.08/2.27
% 7.08/2.27 % (26765)Memory used [KB]: 6908
% 7.08/2.27 % (26765)Time elapsed: 0.062 s
% 7.08/2.27 % (26765)Instructions burned: 233 (million)
% 7.08/2.27 % (26765)------------------------------
% 7.08/2.27 % (26765)------------------------------
% 7.08/2.28 % (26773)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/79Mi)
% 7.08/2.29 % (26772)Instruction limit reached!
% 7.08/2.29 % (26772)------------------------------
% 7.08/2.29 % (26772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.29 % (26772)Termination reason: Unknown
% 7.08/2.29 % (26772)Termination phase: Saturation
% 7.08/2.29
% 7.08/2.29 % (26772)Memory used [KB]: 2558
% 7.08/2.29 % (26772)Time elapsed: 0.043 s
% 7.08/2.29 % (26772)Instructions burned: 156 (million)
% 7.08/2.29 % (26772)------------------------------
% 7.08/2.29 % (26772)------------------------------
% 7.08/2.29 % (26770)Instruction limit reached!
% 7.08/2.29 % (26770)------------------------------
% 7.08/2.29 % (26770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.29 % (26770)Termination reason: Unknown
% 7.08/2.29 % (26770)Termination phase: Saturation
% 7.08/2.29
% 7.08/2.29 % (26770)Memory used [KB]: 6780
% 7.08/2.29 % (26770)Time elapsed: 0.055 s
% 7.08/2.29 % (26770)Instructions burned: 182 (million)
% 7.08/2.29 % (26770)------------------------------
% 7.08/2.29 % (26770)------------------------------
% 7.90/2.30 % (26771)Instruction limit reached!
% 7.90/2.30 % (26771)------------------------------
% 7.90/2.30 % (26771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.30 % (26771)Termination reason: Unknown
% 7.90/2.30 % (26771)Termination phase: Saturation
% 7.90/2.30
% 7.90/2.30 % (26771)Memory used [KB]: 6908
% 7.90/2.30 % (26771)Time elapsed: 0.056 s
% 7.90/2.30 % (26771)Instructions burned: 183 (million)
% 7.90/2.30 % (26771)------------------------------
% 7.90/2.30 % (26771)------------------------------
% 7.90/2.30 % (26774)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/216Mi)
% 7.90/2.30 % (26773)Instruction limit reached!
% 7.90/2.30 % (26773)------------------------------
% 7.90/2.30 % (26773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.30 % (26773)Termination reason: Unknown
% 7.90/2.30 % (26773)Termination phase: Property scanning
% 7.90/2.30
% 7.90/2.30 % (26773)Memory used [KB]: 1791
% 7.90/2.30 % (26773)Time elapsed: 0.024 s
% 7.90/2.30 % (26773)Instructions burned: 81 (million)
% 7.90/2.30 % (26773)------------------------------
% 7.90/2.30 % (26773)------------------------------
% 7.90/2.30 % (26775)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/114Mi)
% 7.90/2.31 % (26776)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/922Mi)
% 7.90/2.31 % (26777)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_26592 for (2992ds/182Mi)
% 7.90/2.32 % (26768)Instruction limit reached!
% 7.90/2.32 % (26768)------------------------------
% 7.90/2.32 % (26768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.32 % (26768)Termination reason: Unknown
% 7.90/2.32 % (26768)Termination phase: Saturation
% 7.90/2.32
% 7.90/2.32 % (26768)Memory used [KB]: 7164
% 7.90/2.32 % (26768)Time elapsed: 0.089 s
% 7.90/2.32 % (26768)Instructions burned: 298 (million)
% 7.90/2.32 % (26768)------------------------------
% 7.90/2.32 % (26768)------------------------------
% 7.90/2.33 % (26778)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/164Mi)
% 7.90/2.33 % (26775)Instruction limit reached!
% 7.90/2.33 % (26775)------------------------------
% 7.90/2.33 % (26775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.33 % (26775)Termination reason: Unknown
% 7.90/2.33 % (26775)Termination phase: Saturation
% 7.90/2.33
% 7.90/2.33 % (26775)Memory used [KB]: 6524
% 7.90/2.33 % (26775)Time elapsed: 0.034 s
% 7.90/2.33 % (26775)Instructions burned: 116 (million)
% 7.90/2.33 % (26775)------------------------------
% 7.90/2.33 % (26775)------------------------------
% 7.90/2.34 % (26779)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/50Mi)
% 7.90/2.35 % (26766)Instruction limit reached!
% 7.90/2.35 % (26766)------------------------------
% 7.90/2.35 % (26766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.35 % (26766)Termination reason: Unknown
% 7.90/2.35 % (26766)Termination phase: Saturation
% 7.90/2.35
% 7.90/2.35 % (26766)Memory used [KB]: 7547
% 7.90/2.35 % (26766)Time elapsed: 0.141 s
% 7.90/2.35 % (26766)Instructions burned: 460 (million)
% 7.90/2.35 % (26766)------------------------------
% 7.90/2.35 % (26766)------------------------------
% 7.90/2.36 % (26780)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/368Mi)
% 7.90/2.36 % (26779)Instruction limit reached!
% 7.90/2.36 % (26779)------------------------------
% 7.90/2.36 % (26779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.36 % (26779)Termination reason: Unknown
% 7.90/2.36 % (26779)Termination phase: Property scanning
% 7.90/2.36
% 7.90/2.36 % (26779)Memory used [KB]: 1791
% 7.90/2.36 % (26779)Time elapsed: 0.014 s
% 7.90/2.36 % (26779)Instructions burned: 50 (million)
% 7.90/2.36 % (26779)------------------------------
% 7.90/2.36 % (26779)------------------------------
% 7.90/2.36 % (26777)Instruction limit reached!
% 7.90/2.36 % (26777)------------------------------
% 7.90/2.36 % (26777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.36 % (26777)Termination reason: Unknown
% 7.90/2.36 % (26777)Termination phase: Saturation
% 7.90/2.36
% 7.90/2.36 % (26777)Memory used [KB]: 6908
% 7.90/2.36 % (26777)Time elapsed: 0.051 s
% 7.90/2.36 % (26777)Instructions burned: 183 (million)
% 7.90/2.36 % (26777)------------------------------
% 7.90/2.36 % (26777)------------------------------
% 7.90/2.36 % (26774)Instruction limit reached!
% 7.90/2.36 % (26774)------------------------------
% 7.90/2.36 % (26774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.36 % (26774)Termination reason: Unknown
% 7.90/2.36 % (26774)Termination phase: Saturation
% 7.90/2.36
% 7.90/2.36 % (26774)Memory used [KB]: 6908
% 7.90/2.36 % (26774)Time elapsed: 0.062 s
% 7.90/2.36 % (26774)Instructions burned: 216 (million)
% 7.90/2.36 % (26774)------------------------------
% 7.90/2.36 % (26774)------------------------------
% 7.90/2.36 % (26781)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/1021Mi)
% 7.90/2.37 % (26782)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/267Mi)
% 7.90/2.37 % (26783)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/204Mi)
% 7.90/2.37 % (26778)Instruction limit reached!
% 7.90/2.37 % (26778)------------------------------
% 7.90/2.37 % (26778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.37 % (26778)Termination reason: Unknown
% 7.90/2.37 % (26778)Termination phase: Saturation
% 7.90/2.37
% 7.90/2.37 % (26778)Memory used [KB]: 2302
% 7.90/2.37 % (26778)Time elapsed: 0.047 s
% 7.90/2.37 % (26778)Instructions burned: 165 (million)
% 7.90/2.37 % (26778)------------------------------
% 7.90/2.37 % (26778)------------------------------
% 7.90/2.38 % (26784)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/26Mi)
% 7.90/2.39 % (26784)Instruction limit reached!
% 7.90/2.39 % (26784)------------------------------
% 7.90/2.39 % (26784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.90/2.39 % (26784)Termination reason: Unknown
% 7.90/2.39 % (26784)Termination phase: shuffling
% 7.90/2.39
% 7.90/2.39 % (26784)Memory used [KB]: 1663
% 7.90/2.39 % (26784)Time elapsed: 0.008 s
% 7.90/2.39 % (26784)Instructions burned: 26 (million)
% 7.90/2.39 % (26784)------------------------------
% 7.90/2.39 % (26784)------------------------------
% 8.51/2.40 % (26785)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/53Mi)
% 8.51/2.42 % (26785)Instruction limit reached!
% 8.51/2.42 % (26785)------------------------------
% 8.51/2.42 % (26785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.51/2.42 % (26785)Termination reason: Unknown
% 8.51/2.42 % (26785)Termination phase: Property scanning
% 8.51/2.42
% 8.51/2.42 % (26785)Memory used [KB]: 1918
% 8.51/2.42 % (26785)Time elapsed: 0.016 s
% 8.51/2.42 % (26785)Instructions burned: 56 (million)
% 8.51/2.42 % (26785)------------------------------
% 8.51/2.42 % (26785)------------------------------
% 8.51/2.42 % (26786)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_26592 for (2991ds/4436Mi)
% 8.51/2.43 % (26783)Instruction limit reached!
% 8.51/2.43 % (26783)------------------------------
% 8.51/2.43 % (26783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.51/2.43 % (26783)Termination reason: Unknown
% 8.51/2.43 % (26783)Termination phase: Saturation
% 8.51/2.43
% 8.51/2.43 % (26783)Memory used [KB]: 6908
% 8.51/2.43 % (26783)Time elapsed: 0.063 s
% 8.51/2.43 % (26783)Instructions burned: 206 (million)
% 8.51/2.43 % (26783)------------------------------
% 8.51/2.43 % (26783)------------------------------
% 8.51/2.44 % (26787)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_26592 for (2990ds/1539Mi)
% 8.51/2.45 % (26782)Instruction limit reached!
% 8.51/2.45 % (26782)------------------------------
% 8.51/2.45 % (26782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.51/2.45 % (26782)Termination reason: Unknown
% 8.51/2.45 % (26782)Termination phase: Saturation
% 8.51/2.45
% 8.51/2.45 % (26782)Memory used [KB]: 7164
% 8.51/2.45 % (26782)Time elapsed: 0.081 s
% 8.51/2.45 % (26782)Instructions burned: 268 (million)
% 8.51/2.45 % (26782)------------------------------
% 8.51/2.45 % (26782)------------------------------
% 8.51/2.46 % (26788)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_26592 for (2990ds/408Mi)
% 8.51/2.48 % (26780)Instruction limit reached!
% 8.51/2.48 % (26780)------------------------------
% 8.51/2.48 % (26780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.51/2.48 % (26780)Termination reason: Unknown
% 8.51/2.48 % (26780)Termination phase: Saturation
% 8.51/2.48
% 8.51/2.48 % (26780)Memory used [KB]: 8443
% 8.51/2.48 % (26780)Time elapsed: 0.123 s
% 8.51/2.48 % (26780)Instructions burned: 370 (million)
% 8.51/2.48 % (26780)------------------------------
% 8.51/2.48 % (26780)------------------------------
% 8.51/2.49 % (26789)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_26592 for (2990ds/5205Mi)
% 8.84/2.52 % (26769)Instruction limit reached!
% 8.84/2.52 % (26769)------------------------------
% 8.84/2.52 % (26769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.84/2.52 % (26769)Termination reason: Unknown
% 8.84/2.52 % (26769)Termination phase: Saturation
% 8.84/2.52
% 8.84/2.52 % (26769)Memory used [KB]: 8699
% 8.84/2.52 % (26769)Time elapsed: 0.293 s
% 8.84/2.52 % (26769)Instructions burned: 989 (million)
% 8.84/2.52 % (26769)------------------------------
% 8.84/2.52 % (26769)------------------------------
% 8.84/2.53 % (26790)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_26592 for (2989ds/1913Mi)
% 8.84/2.58 % (26788)Instruction limit reached!
% 8.84/2.58 % (26788)------------------------------
% 8.84/2.58 % (26788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.84/2.58 % (26788)Termination reason: Unknown
% 8.84/2.58 % (26788)Termination phase: Saturation
% 8.84/2.58
% 8.84/2.58 % (26788)Memory used [KB]: 7164
% 8.84/2.58 % (26788)Time elapsed: 0.121 s
% 8.84/2.58 % (26788)Instructions burned: 409 (million)
% 8.84/2.58 % (26788)------------------------------
% 8.84/2.58 % (26788)------------------------------
% 8.84/2.59 % (26791)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_26592 for (2989ds/4350Mi)
% 8.84/2.59 % (26776)Instruction limit reached!
% 8.84/2.59 % (26776)------------------------------
% 8.84/2.59 % (26776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.84/2.59 % (26776)Termination reason: Unknown
% 8.84/2.59 % (26776)Termination phase: Saturation
% 8.84/2.59
% 8.84/2.59 % (26776)Memory used [KB]: 8059
% 8.84/2.59 % (26776)Time elapsed: 0.284 s
% 8.84/2.59 % (26776)Instructions burned: 924 (million)
% 8.84/2.59 % (26776)------------------------------
% 8.84/2.59 % (26776)------------------------------
% 9.55/2.60 % (26792)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_26592 for (2989ds/68Mi)
% 9.55/2.62 % (26792)Instruction limit reached!
% 9.55/2.62 % (26792)------------------------------
% 9.55/2.62 % (26792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.62 % (26792)Termination reason: Unknown
% 9.55/2.62 % (26792)Termination phase: Property scanning
% 9.55/2.62
% 9.55/2.62 % (26792)Memory used [KB]: 1791
% 9.55/2.62 % (26792)Time elapsed: 0.022 s
% 9.55/2.62 % (26792)Instructions burned: 71 (million)
% 9.55/2.62 % (26792)------------------------------
% 9.55/2.62 % (26792)------------------------------
% 9.55/2.62 % (26791)Refutation not found, incomplete strategy
% 9.55/2.62 % (26791)------------------------------
% 9.55/2.62 % (26791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.62 % (26791)Termination reason: Refutation not found, incomplete strategy
% 9.55/2.62
% 9.55/2.62
% 9.55/2.62 % (26791)Memory used [KB]: 6524
% 9.55/2.62 % (26791)Time elapsed: 0.056 s
% 9.55/2.62 % (26791)Instructions burned: 116 (million)
% 9.55/2.62 % (26791)------------------------------
% 9.55/2.62 % (26791)------------------------------
% 9.55/2.63 % (26793)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_26592 for (2989ds/358Mi)
% 9.55/2.63 % (26794)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_26592 for (2989ds/31Mi)
% 9.55/2.64 % (26794)Instruction limit reached!
% 9.55/2.64 % (26794)------------------------------
% 9.55/2.64 % (26794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.64 % (26794)Termination reason: Unknown
% 9.55/2.64 % (26794)Termination phase: Property scanning
% 9.55/2.64
% 9.55/2.64 % (26794)Memory used [KB]: 1535
% 9.55/2.64 % (26794)Time elapsed: 0.011 s
% 9.55/2.64 % (26794)Instructions burned: 31 (million)
% 9.55/2.64 % (26794)------------------------------
% 9.55/2.64 % (26794)------------------------------
% 9.55/2.65 % (26795)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_26592 for (2988ds/279Mi)
% 9.55/2.67 % (26781)Instruction limit reached!
% 9.55/2.67 % (26781)------------------------------
% 9.55/2.67 % (26781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.55/2.67 % (26781)Termination reason: Unknown
% 9.55/2.67 % (26781)Termination phase: Saturation
% 9.55/2.67
% 9.55/2.67 % (26781)Memory used [KB]: 8443
% 9.55/2.67 % (26781)Time elapsed: 0.309 s
% 9.55/2.67 % (26781)Instructions burned: 1021 (million)
% 9.55/2.67 % (26781)------------------------------
% 9.55/2.67 % (26781)------------------------------
% 9.55/2.68 % (26796)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_26592 for (2988ds/258Mi)
% 9.96/2.73 % (26795)Refutation not found, non-redundant clauses discarded% (26795)------------------------------
% 9.96/2.73 % (26795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.96/2.73 % (26795)Termination reason: Refutation not found, non-redundant clauses discarded
% 9.96/2.73
% 9.96/2.73 % (26795)Memory used [KB]: 7036
% 9.96/2.73 % (26795)Time elapsed: 0.083 s
% 9.96/2.73 % (26795)Instructions burned: 276 (million)
% 9.96/2.73 % (26795)------------------------------
% 9.96/2.73 % (26795)------------------------------
% 9.96/2.74 % (26793)Instruction limit reached!
% 9.96/2.74 % (26793)------------------------------
% 9.96/2.74 % (26793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.96/2.74 % (26793)Termination reason: Unknown
% 9.96/2.74 % (26793)Termination phase: Saturation
% 9.96/2.74
% 9.96/2.74 % (26793)Memory used [KB]: 6780
% 9.96/2.74 % (26793)Time elapsed: 0.132 s
% 9.96/2.74 % (26793)Instructions burned: 358 (million)
% 9.96/2.74 % (26793)------------------------------
% 9.96/2.74 % (26793)------------------------------
% 9.96/2.74 % (26797)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_26592 for (2987ds/26Mi)
% 9.96/2.75 % (26798)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_26592 for (2987ds/995Mi)
% 9.96/2.75 % (26797)Instruction limit reached!
% 9.96/2.75 % (26797)------------------------------
% 9.96/2.75 % (26797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.96/2.75 % (26797)Termination reason: Unknown
% 9.96/2.75 % (26797)Termination phase: shuffling
% 9.96/2.75
% 9.96/2.75 % (26797)Memory used [KB]: 1791
% 9.96/2.75 % (26797)Time elapsed: 0.009 s
% 9.96/2.75 % (26797)Instructions burned: 29 (million)
% 9.96/2.75 % (26797)------------------------------
% 9.96/2.75 % (26797)------------------------------
% 9.96/2.76 % (26799)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_26592 for (2987ds/373Mi)
% 9.96/2.76 % (26796)Instruction limit reached!
% 9.96/2.76 % (26796)------------------------------
% 9.96/2.76 % (26796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.96/2.76 % (26796)Termination reason: Unknown
% 9.96/2.76 % (26796)Termination phase: Saturation
% 9.96/2.76
% 9.96/2.76 % (26796)Memory used [KB]: 6908
% 9.96/2.76 % (26796)Time elapsed: 0.081 s
% 9.96/2.76 % (26796)Instructions burned: 260 (million)
% 9.96/2.76 % (26796)------------------------------
% 9.96/2.76 % (26796)------------------------------
% 9.96/2.77 % (26800)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_26592 for (2987ds/253Mi)
% 10.29/2.85 % (26800)Instruction limit reached!
% 10.29/2.85 % (26800)------------------------------
% 10.29/2.85 % (26800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.29/2.85 % (26800)Termination reason: Unknown
% 10.29/2.85 % (26800)Termination phase: Saturation
% 10.29/2.85
% 10.29/2.85 % (26800)Memory used [KB]: 7291
% 10.29/2.85 % (26800)Time elapsed: 0.074 s
% 10.29/2.85 % (26800)Instructions burned: 254 (million)
% 10.29/2.85 % (26800)------------------------------
% 10.29/2.85 % (26800)------------------------------
% 10.29/2.86 % (26801)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_26592 for (2986ds/832Mi)
% 10.29/2.88 % (26799)Instruction limit reached!
% 10.29/2.88 % (26799)------------------------------
% 10.29/2.88 % (26799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.29/2.88 % (26799)Termination reason: Unknown
% 10.29/2.88 % (26799)Termination phase: Saturation
% 10.29/2.88
% 10.29/2.88 % (26799)Memory used [KB]: 7419
% 10.29/2.88 % (26799)Time elapsed: 0.120 s
% 10.29/2.88 % (26799)Instructions burned: 373 (million)
% 10.29/2.88 % (26799)------------------------------
% 10.29/2.88 % (26799)------------------------------
% 10.29/2.89 % (26802)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_26592 for (2986ds/668Mi)
% 10.49/2.91 % (26787)Instruction limit reached!
% 10.49/2.91 % (26787)------------------------------
% 10.49/2.91 % (26787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.49/2.91 % (26787)Termination reason: Unknown
% 10.49/2.91 % (26787)Termination phase: Saturation
% 10.49/2.91
% 10.49/2.91 % (26787)Memory used [KB]: 9594
% 10.49/2.91 % (26787)Time elapsed: 0.470 s
% 10.49/2.91 % (26787)Instructions burned: 1541 (million)
% 10.49/2.91 % (26787)------------------------------
% 10.49/2.91 % (26787)------------------------------
% 10.49/2.92 % (26803)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_26592 for (2985ds/40Mi)
% 10.49/2.93 % (26803)Instruction limit reached!
% 10.49/2.93 % (26803)------------------------------
% 10.49/2.93 % (26803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.49/2.93 % (26803)Termination reason: Unknown
% 10.49/2.93 % (26803)Termination phase: Property scanning
% 10.49/2.93
% 10.49/2.93 % (26803)Memory used [KB]: 1791
% 10.49/2.93 % (26803)Time elapsed: 0.012 s
% 10.49/2.93 % (26803)Instructions burned: 40 (million)
% 10.49/2.93 % (26803)------------------------------
% 10.49/2.93 % (26803)------------------------------
% 10.49/2.94 % (26804)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_26592 for (2985ds/294Mi)
% 10.49/2.96 % (26804)Refutation not found, incomplete strategy
% 10.49/2.96 % (26804)------------------------------
% 10.49/2.96 % (26804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.49/2.96 % (26804)Termination reason: Refutation not found, incomplete strategy
% 10.49/2.96
% 10.49/2.96
% 10.49/2.96 % (26804)Memory used [KB]: 6652
% 10.49/2.96 % (26804)Time elapsed: 0.025 s
% 10.49/2.96 % (26804)Instructions burned: 89 (million)
% 10.49/2.96 % (26804)------------------------------
% 10.49/2.96 % (26804)------------------------------
% 10.49/2.97 % (26805)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_26592 for (2985ds/187Mi)
% 13.19/3.04 % (26805)Instruction limit reached!
% 13.19/3.04 % (26805)------------------------------
% 13.19/3.04 % (26805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.19/3.04 % (26805)Termination reason: Unknown
% 13.19/3.04 % (26805)Termination phase: Saturation
% 13.19/3.04
% 13.19/3.04 % (26805)Memory used [KB]: 7036
% 13.19/3.04 % (26805)Time elapsed: 0.069 s
% 13.19/3.04 % (26805)Instructions burned: 188 (million)
% 13.19/3.04 % (26805)------------------------------
% 13.19/3.04 % (26805)------------------------------
% 13.19/3.05 % (26806)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_26592 for (2984ds/371Mi)
% 13.19/3.06 % (26798)Instruction limit reached!
% 13.19/3.06 % (26798)------------------------------
% 13.19/3.06 % (26798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.19/3.06 % (26798)Termination reason: Unknown
% 13.19/3.06 % (26798)Termination phase: Saturation
% 13.19/3.06
% 13.19/3.06 % (26798)Memory used [KB]: 8443
% 13.19/3.06 % (26798)Time elapsed: 0.311 s
% 13.19/3.06 % (26798)Instructions burned: 996 (million)
% 13.19/3.06 % (26798)------------------------------
% 13.19/3.06 % (26798)------------------------------
% 13.19/3.07 % (26807)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_26592 for (2984ds/1827Mi)
% 13.19/3.09 % (26802)Instruction limit reached!
% 13.19/3.09 % (26802)------------------------------
% 13.19/3.09 % (26802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.19/3.09 % (26802)Termination reason: Unknown
% 13.19/3.09 % (26802)Termination phase: Saturation
% 13.19/3.09
% 13.19/3.09 % (26802)Memory used [KB]: 14072
% 13.19/3.09 % (26802)Time elapsed: 0.203 s
% 13.19/3.09 % (26802)Instructions burned: 670 (million)
% 13.19/3.09 % (26802)------------------------------
% 13.19/3.09 % (26802)------------------------------
% 13.19/3.09 % (26790)Instruction limit reached!
% 13.19/3.09 % (26790)------------------------------
% 13.19/3.09 % (26790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.19/3.09 % (26790)Termination reason: Unknown
% 13.19/3.09 % (26790)Termination phase: Saturation
% 13.19/3.09
% 13.19/3.09 % (26790)Memory used [KB]: 3326
% 13.19/3.09 % (26790)Time elapsed: 0.562 s
% 13.19/3.09 % (26790)Instructions burned: 1914 (million)
% 13.19/3.09 % (26790)------------------------------
% 13.19/3.09 % (26790)------------------------------
% 13.19/3.10 % (26801)Instruction limit reached!
% 13.19/3.10 % (26801)------------------------------
% 13.19/3.10 % (26801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.19/3.10 % (26801)Termination reason: Unknown
% 13.19/3.10 % (26801)Termination phase: Saturation
% 13.19/3.10
% 13.19/3.10 % (26801)Memory used [KB]: 7291
% 13.19/3.10 % (26801)Time elapsed: 0.243 s
% 13.19/3.10 % (26801)Instructions burned: 832 (million)
% 13.19/3.10 % (26801)------------------------------
% 13.19/3.10 % (26801)------------------------------
% 13.19/3.10 % (26808)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_26592 for (2984ds/70Mi)
% 13.19/3.10 % (26809)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_26592 for (2984ds/316Mi)
% 13.19/3.11 % (26810)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_26592 for (2984ds/932Mi)
% 13.75/3.12 % (26808)Instruction limit reached!
% 13.75/3.12 % (26808)------------------------------
% 13.75/3.12 % (26808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.12 % (26808)Termination reason: Unknown
% 13.75/3.12 % (26808)Termination phase: Property scanning
% 13.75/3.12
% 13.75/3.12 % (26808)Memory used [KB]: 1918
% 13.75/3.12 % (26808)Time elapsed: 0.020 s
% 13.75/3.12 % (26808)Instructions burned: 72 (million)
% 13.75/3.12 % (26808)------------------------------
% 13.75/3.12 % (26808)------------------------------
% 13.75/3.13 % (26811)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_26592 for (2983ds/4714Mi)
% 13.75/3.17 % (26806)Instruction limit reached!
% 13.75/3.17 % (26806)------------------------------
% 13.75/3.17 % (26806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.17 % (26806)Termination reason: Unknown
% 13.75/3.17 % (26806)Termination phase: Saturation
% 13.75/3.17
% 13.75/3.17 % (26806)Memory used [KB]: 7036
% 13.75/3.17 % (26806)Time elapsed: 0.119 s
% 13.75/3.17 % (26806)Instructions burned: 371 (million)
% 13.75/3.17 % (26806)------------------------------
% 13.75/3.17 % (26806)------------------------------
% 13.75/3.18 % (26812)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_26592 for (2983ds/8250Mi)
% 13.75/3.19 % (26809)Instruction limit reached!
% 13.75/3.19 % (26809)------------------------------
% 13.75/3.19 % (26809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.19 % (26809)Termination reason: Unknown
% 13.75/3.19 % (26809)Termination phase: Saturation
% 13.75/3.19
% 13.75/3.19 % (26809)Memory used [KB]: 7547
% 13.75/3.19 % (26809)Time elapsed: 0.088 s
% 13.75/3.19 % (26809)Instructions burned: 317 (million)
% 13.75/3.19 % (26809)------------------------------
% 13.75/3.19 % (26809)------------------------------
% 14.17/3.20 % (26813)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_26592 for (2983ds/770Mi)
% 14.17/3.23 % (26813)Refutation not found, incomplete strategy
% 14.17/3.23 % (26813)------------------------------
% 14.17/3.23 % (26813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.17/3.23 % (26813)Termination reason: Refutation not found, incomplete strategy
% 14.17/3.23
% 14.17/3.23
% 14.17/3.23 % (26813)Memory used [KB]: 6396
% 14.17/3.23 % (26813)Time elapsed: 0.030 s
% 14.17/3.23 % (26813)Instructions burned: 96 (million)
% 14.17/3.23 % (26813)------------------------------
% 14.17/3.23 % (26813)------------------------------
% 14.17/3.24 % (26814)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_26592 for (2982ds/794Mi)
% 14.41/3.38 % (26810)Instruction limit reached!
% 14.41/3.38 % (26810)------------------------------
% 14.41/3.38 % (26810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.41/3.38 % (26810)Termination reason: Unknown
% 14.41/3.38 % (26810)Termination phase: Saturation
% 14.41/3.38
% 14.41/3.38 % (26810)Memory used [KB]: 8571
% 14.41/3.38 % (26810)Time elapsed: 0.275 s
% 14.41/3.38 % (26810)Instructions burned: 934 (million)
% 14.41/3.38 % (26810)------------------------------
% 14.41/3.38 % (26810)------------------------------
% 14.41/3.39 % (26815)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_26592 for (2981ds/464Mi)
% 14.89/3.49 % (26814)Instruction limit reached!
% 14.89/3.49 % (26814)------------------------------
% 14.89/3.49 % (26814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.89/3.49 % (26814)Termination reason: Unknown
% 14.89/3.49 % (26814)Termination phase: Saturation
% 14.89/3.49
% 14.89/3.49 % (26814)Memory used [KB]: 4477
% 14.89/3.49 % (26814)Time elapsed: 0.253 s
% 14.89/3.49 % (26814)Instructions burned: 797 (million)
% 14.89/3.49 % (26814)------------------------------
% 14.89/3.49 % (26814)------------------------------
% 15.35/3.50 % (26816)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_26592 for (2980ds/1376Mi)
% 15.35/3.54 % (26815)Instruction limit reached!
% 15.35/3.54 % (26815)------------------------------
% 15.35/3.54 % (26815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.35/3.54 % (26815)Termination reason: Unknown
% 15.35/3.54 % (26815)Termination phase: Saturation
% 15.35/3.54
% 15.35/3.54 % (26815)Memory used [KB]: 7291
% 15.35/3.54 % (26815)Time elapsed: 0.147 s
% 15.35/3.54 % (26815)Instructions burned: 465 (million)
% 15.35/3.54 % (26815)------------------------------
% 15.35/3.54 % (26815)------------------------------
% 15.35/3.55 % (26817)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_26592 for (2979ds/906Mi)
% 15.72/3.67 % (26807)Instruction limit reached!
% 15.72/3.67 % (26807)------------------------------
% 15.72/3.67 % (26807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.72/3.67 % (26807)Termination reason: Unknown
% 15.72/3.67 % (26807)Termination phase: Saturation
% 15.72/3.67
% 15.72/3.67 % (26807)Memory used [KB]: 9210
% 15.72/3.67 % (26807)Time elapsed: 0.599 s
% 15.72/3.67 % (26807)Instructions burned: 1827 (million)
% 15.72/3.67 % (26807)------------------------------
% 15.72/3.67 % (26807)------------------------------
% 15.72/3.68 % (26818)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_26592 for (2978ds/434Mi)
% 16.51/3.76 % (26786)Instruction limit reached!
% 16.51/3.76 % (26786)------------------------------
% 16.51/3.76 % (26786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.51/3.76 % (26786)Termination reason: Unknown
% 16.51/3.76 % (26786)Termination phase: Saturation
% 16.51/3.76
% 16.51/3.76 % (26786)Memory used [KB]: 12665
% 16.51/3.76 % (26786)Time elapsed: 1.336 s
% 16.51/3.76 % (26786)Instructions burned: 4438 (million)
% 16.51/3.76 % (26786)------------------------------
% 16.51/3.76 % (26786)------------------------------
% 16.51/3.77 % (26819)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_26592 for (2977ds/865Mi)
% 16.69/3.81 % (26818)Instruction limit reached!
% 16.69/3.81 % (26818)------------------------------
% 16.69/3.81 % (26818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.69/3.81 % (26818)Termination reason: Unknown
% 16.69/3.81 % (26818)Termination phase: Saturation
% 16.69/3.81
% 16.69/3.81 % (26818)Memory used [KB]: 6780
% 16.69/3.81 % (26818)Time elapsed: 0.133 s
% 16.69/3.81 % (26818)Instructions burned: 436 (million)
% 16.69/3.81 % (26818)------------------------------
% 16.69/3.81 % (26818)------------------------------
% 16.69/3.82 % (26820)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_26592 for (2977ds/593Mi)
% 16.69/3.85 % (26817)Instruction limit reached!
% 16.69/3.85 % (26817)------------------------------
% 16.69/3.85 % (26817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.69/3.85 % (26817)Termination reason: Unknown
% 16.69/3.85 % (26817)Termination phase: Saturation
% 16.69/3.85
% 16.69/3.85 % (26817)Memory used [KB]: 9978
% 16.69/3.85 % (26817)Time elapsed: 0.303 s
% 16.69/3.85 % (26817)Instructions burned: 908 (million)
% 16.69/3.85 % (26817)------------------------------
% 16.69/3.85 % (26817)------------------------------
% 16.69/3.86 % (26821)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_26592 for (2976ds/443Mi)
% 17.25/3.92 % (26816)Instruction limit reached!
% 17.25/3.92 % (26816)------------------------------
% 17.25/3.92 % (26816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/3.92 % (26816)Termination reason: Unknown
% 17.25/3.92 % (26816)Termination phase: Saturation
% 17.25/3.92
% 17.25/3.92 % (26816)Memory used [KB]: 12665
% 17.25/3.92 % (26816)Time elapsed: 0.416 s
% 17.25/3.92 % (26816)Instructions burned: 1377 (million)
% 17.25/3.92 % (26816)------------------------------
% 17.25/3.92 % (26816)------------------------------
% 17.25/3.93 % (26822)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_26592 for (2975ds/594Mi)
% 17.25/3.99 % (26820)Instruction limit reached!
% 17.25/3.99 % (26820)------------------------------
% 17.25/3.99 % (26820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/3.99 % (26820)Termination reason: Unknown
% 17.25/3.99 % (26820)Termination phase: Saturation
% 17.25/3.99
% 17.25/3.99 % (26820)Memory used [KB]: 8315
% 17.25/3.99 % (26820)Time elapsed: 0.176 s
% 17.25/3.99 % (26820)Instructions burned: 594 (million)
% 17.25/3.99 % (26820)------------------------------
% 17.25/3.99 % (26820)------------------------------
% 17.25/4.00 % (26821)Instruction limit reached!
% 17.25/4.00 % (26821)------------------------------
% 17.25/4.00 % (26821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/4.00 % (26821)Termination reason: Unknown
% 17.25/4.00 % (26821)Termination phase: Saturation
% 17.25/4.00
% 17.25/4.00 % (26821)Memory used [KB]: 7419
% 17.25/4.00 % (26821)Time elapsed: 0.145 s
% 17.25/4.00 % (26821)Instructions burned: 445 (million)
% 17.25/4.00 % (26821)------------------------------
% 17.25/4.00 % (26821)------------------------------
% 17.25/4.01 % (26789)Instruction limit reached!
% 17.25/4.01 % (26789)------------------------------
% 17.25/4.01 % (26789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/4.01 % (26789)Termination reason: Unknown
% 17.25/4.01 % (26789)Termination phase: Saturation
% 17.25/4.01
% 17.25/4.01 % (26789)Memory used [KB]: 14583
% 17.25/4.01 % (26789)Time elapsed: 1.523 s
% 17.25/4.01 % (26789)Instructions burned: 5207 (million)
% 17.25/4.01 % (26789)------------------------------
% 17.25/4.01 % (26789)------------------------------
% 17.25/4.01 % (26824)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_26592 for (2975ds/5411Mi)
% 20.18/4.02 % (26823)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_26592 for (2975ds/327Mi)
% 20.18/4.02 % (26825)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_26592 for (2975ds/1762Mi)
% 20.18/4.04 % (26819)Instruction limit reached!
% 20.18/4.04 % (26819)------------------------------
% 20.18/4.04 % (26819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.18/4.04 % (26819)Termination reason: Unknown
% 20.18/4.04 % (26819)Termination phase: Saturation
% 20.18/4.04
% 20.18/4.04 % (26819)Memory used [KB]: 8315
% 20.18/4.04 % (26819)Time elapsed: 0.267 s
% 20.18/4.04 % (26819)Instructions burned: 866 (million)
% 20.18/4.04 % (26819)------------------------------
% 20.18/4.04 % (26819)------------------------------
% 20.18/4.05 % (26826)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_26592 for (2974ds/96Mi)
% 20.18/4.07 % (26826)Instruction limit reached!
% 20.18/4.07 % (26826)------------------------------
% 20.18/4.07 % (26826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.18/4.07 % (26826)Termination reason: Unknown
% 20.18/4.07 % (26826)Termination phase: Saturation
% 20.18/4.07
% 20.18/4.07 % (26826)Memory used [KB]: 1918
% 20.18/4.07 % (26826)Time elapsed: 0.026 s
% 20.18/4.07 % (26826)Instructions burned: 97 (million)
% 20.18/4.07 % (26826)------------------------------
% 20.18/4.07 % (26826)------------------------------
% 20.18/4.08 % (26827)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_26592 for (2974ds/503Mi)
% 20.18/4.11 % (26827)Refutation not found, incomplete strategy
% 20.18/4.11 % (26827)------------------------------
% 20.18/4.11 % (26827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.18/4.11 % (26827)Termination reason: Refutation not found, incomplete strategy
% 20.18/4.11
% 20.18/4.11
% 20.18/4.11 % (26827)Memory used [KB]: 6652
% 20.18/4.11 % (26827)Time elapsed: 0.033 s
% 20.18/4.11 % (26827)Instructions burned: 107 (million)
% 20.18/4.11 % (26827)------------------------------
% 20.18/4.11 % (26827)------------------------------
% 20.65/4.12 % (26822)Instruction limit reached!
% 20.65/4.12 % (26822)------------------------------
% 20.65/4.12 % (26822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.65/4.12 % (26822)Termination reason: Unknown
% 20.65/4.12 % (26822)Termination phase: Saturation
% 20.65/4.12
% 20.65/4.12 % (26822)Memory used [KB]: 7164
% 20.65/4.12 % (26822)Time elapsed: 0.190 s
% 20.65/4.12 % (26822)Instructions burned: 597 (million)
% 20.65/4.12 % (26822)------------------------------
% 20.65/4.12 % (26822)------------------------------
% 20.65/4.12 % (26823)Instruction limit reached!
% 20.65/4.12 % (26823)------------------------------
% 20.65/4.12 % (26823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.65/4.12 % (26823)Termination reason: Unknown
% 20.65/4.12 % (26823)Termination phase: Saturation
% 20.65/4.12
% 20.65/4.12 % (26823)Memory used [KB]: 7419
% 20.65/4.12 % (26823)Time elapsed: 0.130 s
% 20.65/4.12 % (26823)Instructions burned: 329 (million)
% 20.65/4.12 % (26823)------------------------------
% 20.65/4.12 % (26823)------------------------------
% 20.65/4.12 % (26828)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_26592 for (2973ds/90Mi)
% 20.65/4.13 % (26829)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_26592 for (2973ds/593Mi)
% 20.65/4.13 % (26830)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_26592 for (2973ds/1512Mi)
% 20.65/4.15 % (26828)Instruction limit reached!
% 20.65/4.15 % (26828)------------------------------
% 20.65/4.15 % (26828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.65/4.15 % (26828)Termination reason: Unknown
% 20.65/4.15 % (26828)Termination phase: Saturation
% 20.65/4.15
% 20.65/4.15 % (26828)Memory used [KB]: 6268
% 20.65/4.15 % (26828)Time elapsed: 0.027 s
% 20.65/4.15 % (26828)Instructions burned: 92 (million)
% 20.65/4.15 % (26828)------------------------------
% 20.65/4.15 % (26828)------------------------------
% 20.65/4.16 % (26831)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_26592 for (2973ds/569Mi)
% 21.10/4.31 % (26829)Instruction limit reached!
% 21.10/4.31 % (26829)------------------------------
% 21.10/4.31 % (26829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.10/4.31 % (26829)Termination reason: Unknown
% 21.10/4.31 % (26829)Termination phase: Saturation
% 21.10/4.31
% 21.10/4.31 % (26829)Memory used [KB]: 7803
% 21.10/4.31 % (26829)Time elapsed: 0.189 s
% 21.10/4.31 % (26829)Instructions burned: 593 (million)
% 21.10/4.31 % (26829)------------------------------
% 21.10/4.31 % (26829)------------------------------
% 21.10/4.32 % (26832)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_26592 for (2971ds/501Mi)
% 21.10/4.33 % (26831)Instruction limit reached!
% 21.10/4.33 % (26831)------------------------------
% 21.10/4.33 % (26831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.10/4.33 % (26831)Termination reason: Unknown
% 21.10/4.33 % (26831)Termination phase: Saturation
% 21.10/4.33
% 21.10/4.33 % (26831)Memory used [KB]: 8059
% 21.10/4.33 % (26831)Time elapsed: 0.170 s
% 21.10/4.33 % (26831)Instructions burned: 571 (million)
% 21.10/4.33 % (26831)------------------------------
% 21.10/4.33 % (26831)------------------------------
% 21.10/4.34 % (26833)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_26592 for (2971ds/562Mi)
% 21.68/4.47 % (26832)Instruction limit reached!
% 21.68/4.47 % (26832)------------------------------
% 21.68/4.47 % (26832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.68/4.47 % (26832)Termination reason: Unknown
% 21.68/4.47 % (26832)Termination phase: Saturation
% 21.68/4.47
% 21.68/4.47 % (26832)Memory used [KB]: 7803
% 21.68/4.47 % (26832)Time elapsed: 0.149 s
% 21.68/4.47 % (26832)Instructions burned: 501 (million)
% 21.68/4.47 % (26832)------------------------------
% 21.68/4.47 % (26832)------------------------------
% 21.68/4.48 % (26834)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_26592 for (2970ds/406Mi)
% 22.04/4.50 % (26833)Instruction limit reached!
% 22.04/4.50 % (26833)------------------------------
% 22.04/4.50 % (26833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.04/4.50 % (26833)Termination reason: Unknown
% 22.04/4.50 % (26833)Termination phase: Saturation
% 22.04/4.50
% 22.04/4.50 % (26833)Memory used [KB]: 7419
% 22.04/4.50 % (26833)Time elapsed: 0.168 s
% 22.04/4.50 % (26833)Instructions burned: 564 (million)
% 22.04/4.50 % (26833)------------------------------
% 22.04/4.50 % (26833)------------------------------
% 22.04/4.51 % (26835)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_26592 for (2970ds/582Mi)
% 22.04/4.53 % (26825)Instruction limit reached!
% 22.04/4.53 % (26825)------------------------------
% 22.04/4.53 % (26825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.04/4.53 % (26825)Termination reason: Unknown
% 22.04/4.53 % (26825)Termination phase: Saturation
% 22.04/4.53
% 22.04/4.53 % (26825)Memory used [KB]: 9210
% 22.04/4.53 % (26825)Time elapsed: 0.530 s
% 22.04/4.53 % (26825)Instructions burned: 1764 (million)
% 22.04/4.53 % (26825)------------------------------
% 22.04/4.53 % (26825)------------------------------
% 22.04/4.54 % (26836)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_26592 for (2969ds/456Mi)
% 22.04/4.55 % (26811)Instruction limit reached!
% 22.04/4.55 % (26811)------------------------------
% 22.04/4.55 % (26811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.04/4.55 % (26811)Termination reason: Unknown
% 22.04/4.55 % (26811)Termination phase: Saturation
% 22.04/4.55
% 22.04/4.55 % (26811)Memory used [KB]: 11001
% 22.04/4.55 % (26811)Time elapsed: 1.418 s
% 22.04/4.55 % (26811)Instructions burned: 4714 (million)
% 22.04/4.55 % (26811)------------------------------
% 22.04/4.55 % (26811)------------------------------
% 22.04/4.56 % (26837)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_26592 for (2969ds/393Mi)
% 22.04/4.58 % (26830)Instruction limit reached!
% 22.04/4.58 % (26830)------------------------------
% 22.04/4.58 % (26830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.04/4.58 % (26830)Termination reason: Unknown
% 22.04/4.58 % (26830)Termination phase: Saturation
% 22.04/4.58
% 22.04/4.58 % (26830)Memory used [KB]: 8315
% 22.04/4.58 % (26830)Time elapsed: 0.450 s
% 22.04/4.58 % (26830)Instructions burned: 1514 (million)
% 22.04/4.58 % (26830)------------------------------
% 22.04/4.58 % (26830)------------------------------
% 22.04/4.59 % (26838)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_26592 for (2969ds/1335Mi)
% 23.36/4.61 % (26834)Instruction limit reached!
% 23.36/4.61 % (26834)------------------------------
% 23.36/4.61 % (26834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.36/4.61 % (26834)Termination reason: Unknown
% 23.36/4.61 % (26834)Termination phase: Saturation
% 23.36/4.61
% 23.36/4.61 % (26834)Memory used [KB]: 7164
% 23.36/4.61 % (26834)Time elapsed: 0.128 s
% 23.36/4.61 % (26834)Instructions burned: 409 (million)
% 23.36/4.61 % (26834)------------------------------
% 23.36/4.61 % (26834)------------------------------
% 23.36/4.62 % (26839)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_26592 for (2969ds/3373Mi)
% 23.36/4.67 % (26837)Instruction limit reached!
% 23.36/4.67 % (26837)------------------------------
% 23.36/4.67 % (26837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.36/4.67 % (26837)Termination reason: Unknown
% 23.36/4.67 % (26837)Termination phase: Saturation
% 23.36/4.67
% 23.36/4.67 % (26837)Memory used [KB]: 7419
% 23.36/4.67 % (26837)Time elapsed: 0.113 s
% 23.36/4.67 % (26837)Instructions burned: 393 (million)
% 23.36/4.67 % (26837)------------------------------
% 23.36/4.67 % (26837)------------------------------
% 23.36/4.67 % (26836)Instruction limit reached!
% 23.36/4.67 % (26836)------------------------------
% 23.36/4.67 % (26836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.36/4.67 % (26836)Termination reason: Unknown
% 23.36/4.67 % (26836)Termination phase: Saturation
% 23.36/4.67
% 23.36/4.67 % (26836)Memory used [KB]: 7164
% 23.36/4.67 % (26836)Time elapsed: 0.138 s
% 23.36/4.67 % (26836)Instructions burned: 458 (million)
% 23.36/4.67 % (26836)------------------------------
% 23.36/4.67 % (26836)------------------------------
% 23.36/4.68 % (26840)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_26592 for (2968ds/474Mi)
% 23.36/4.68 % (26841)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_26592 for (2968ds/157Mi)
% 23.85/4.70 % (26835)Instruction limit reached!
% 23.85/4.70 % (26835)------------------------------
% 23.85/4.70 % (26835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.85/4.70 % (26835)Termination reason: Unknown
% 23.85/4.70 % (26835)Termination phase: Saturation
% 23.85/4.70
% 23.85/4.70 % (26835)Memory used [KB]: 7419
% 23.85/4.70 % (26835)Time elapsed: 0.185 s
% 23.85/4.70 % (26835)Instructions burned: 585 (million)
% 23.85/4.70 % (26835)------------------------------
% 23.85/4.70 % (26835)------------------------------
% 23.85/4.71 % (26842)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_26592 for (2968ds/590Mi)
% 23.85/4.73 % (26841)Instruction limit reached!
% 23.85/4.73 % (26841)------------------------------
% 23.85/4.73 % (26841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.85/4.73 % (26841)Termination reason: Unknown
% 23.85/4.73 % (26841)Termination phase: Saturation
% 23.85/4.73
% 23.85/4.73 % (26841)Memory used [KB]: 6780
% 23.85/4.73 % (26841)Time elapsed: 0.044 s
% 23.85/4.73 % (26841)Instructions burned: 160 (million)
% 23.85/4.73 % (26841)------------------------------
% 23.85/4.73 % (26841)------------------------------
% 23.85/4.74 % (26843)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_26592 for (2967ds/104Mi)
% 23.85/4.77 % (26843)Instruction limit reached!
% 23.85/4.77 % (26843)------------------------------
% 23.85/4.77 % (26843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.85/4.77 % (26843)Termination reason: Unknown
% 23.85/4.77 % (26843)Termination phase: Saturation
% 23.85/4.77
% 23.85/4.77 % (26843)Memory used [KB]: 2046
% 23.85/4.77 % (26843)Time elapsed: 0.031 s
% 23.85/4.77 % (26843)Instructions burned: 104 (million)
% 23.85/4.77 % (26843)------------------------------
% 23.85/4.77 % (26843)------------------------------
% 23.85/4.78 % (26844)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_26592 for (2967ds/414Mi)
% 24.24/4.83 % (26840)Instruction limit reached!
% 24.24/4.83 % (26840)------------------------------
% 24.24/4.83 % (26840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.24/4.83 % (26840)Termination reason: Unknown
% 24.24/4.83 % (26840)Termination phase: Saturation
% 24.24/4.83
% 24.24/4.83 % (26840)Memory used [KB]: 8187
% 24.24/4.83 % (26840)Time elapsed: 0.146 s
% 24.24/4.83 % (26840)Instructions burned: 474 (million)
% 24.24/4.83 % (26840)------------------------------
% 24.24/4.83 % (26840)------------------------------
% 24.24/4.84 % (26845)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_26592 for (2966ds/715Mi)
% 24.24/4.88 % (26842)Instruction limit reached!
% 24.24/4.88 % (26842)------------------------------
% 24.24/4.88 % (26842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.24/4.88 % (26842)Termination reason: Unknown
% 24.24/4.88 % (26842)Termination phase: Saturation
% 24.24/4.88
% 24.24/4.88 % (26842)Memory used [KB]: 7675
% 24.24/4.88 % (26842)Time elapsed: 0.176 s
% 24.24/4.88 % (26842)Instructions burned: 592 (million)
% 24.24/4.88 % (26842)------------------------------
% 24.24/4.88 % (26842)------------------------------
% 24.24/4.89 % (26846)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_26592 for (2966ds/961Mi)
% 24.24/4.90 % (26844)Instruction limit reached!
% 24.24/4.90 % (26844)------------------------------
% 24.24/4.90 % (26844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.24/4.90 % (26844)Termination reason: Unknown
% 24.24/4.90 % (26844)Termination phase: Saturation
% 24.24/4.90
% 24.24/4.90 % (26844)Memory used [KB]: 7036
% 24.24/4.90 % (26844)Time elapsed: 0.121 s
% 24.24/4.90 % (26844)Instructions burned: 415 (million)
% 24.24/4.90 % (26844)------------------------------
% 24.24/4.90 % (26844)------------------------------
% 24.81/4.91 % (26847)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_26592 for (2966ds/1213Mi)
% 24.81/4.99 % (26838)Instruction limit reached!
% 24.81/4.99 % (26838)------------------------------
% 24.81/4.99 % (26838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.81/4.99 % (26838)Termination reason: Unknown
% 24.81/4.99 % (26838)Termination phase: Saturation
% 24.81/4.99
% 24.81/4.99 % (26838)Memory used [KB]: 8315
% 24.81/4.99 % (26838)Time elapsed: 0.400 s
% 24.81/4.99 % (26838)Instructions burned: 1335 (million)
% 24.81/4.99 % (26838)------------------------------
% 24.81/4.99 % (26838)------------------------------
% 24.81/5.00 % (26848)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_26592 for (2965ds/1979Mi)
% 27.14/5.07 % (26845)Instruction limit reached!
% 27.14/5.07 % (26845)------------------------------
% 27.14/5.07 % (26845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.14/5.07 % (26845)Termination reason: Unknown
% 27.14/5.07 % (26845)Termination phase: Saturation
% 27.14/5.07
% 27.14/5.07 % (26845)Memory used [KB]: 3582
% 27.14/5.07 % (26845)Time elapsed: 0.233 s
% 27.14/5.07 % (26845)Instructions burned: 718 (million)
% 27.14/5.07 % (26845)------------------------------
% 27.14/5.07 % (26845)------------------------------
% 27.14/5.08 % (26849)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_26592 for (2964ds/481Mi)
% 27.80/5.19 % (26846)Instruction limit reached!
% 27.80/5.19 % (26846)------------------------------
% 27.80/5.19 % (26846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.80/5.19 % (26846)Termination reason: Unknown
% 27.80/5.19 % (26846)Termination phase: Saturation
% 27.80/5.19
% 27.80/5.19 % (26846)Memory used [KB]: 8059
% 27.80/5.19 % (26846)Time elapsed: 0.303 s
% 27.80/5.19 % (26846)Instructions burned: 961 (million)
% 27.80/5.19 % (26846)------------------------------
% 27.80/5.19 % (26846)------------------------------
% 28.31/5.20 % (26850)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_26592 for (2963ds/783Mi)
% 28.31/5.23 % (26849)Instruction limit reached!
% 28.31/5.23 % (26849)------------------------------
% 28.31/5.23 % (26849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.31/5.23 % (26849)Termination reason: Unknown
% 28.31/5.23 % (26849)Termination phase: Saturation
% 28.31/5.23
% 28.31/5.23 % (26849)Memory used [KB]: 7291
% 28.31/5.23 % (26849)Time elapsed: 0.150 s
% 28.31/5.23 % (26849)Instructions burned: 481 (million)
% 28.31/5.23 % (26849)------------------------------
% 28.31/5.23 % (26849)------------------------------
% 28.31/5.24 % (26851)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_26592 for (2962ds/432Mi)
% 28.31/5.29 % (26847)Instruction limit reached!
% 28.31/5.29 % (26847)------------------------------
% 28.31/5.29 % (26847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.31/5.29 % (26847)Termination reason: Unknown
% 28.31/5.29 % (26847)Termination phase: Saturation
% 28.31/5.29
% 28.31/5.29 % (26847)Memory used [KB]: 8059
% 28.31/5.29 % (26847)Time elapsed: 0.383 s
% 28.31/5.29 % (26847)Instructions burned: 1214 (million)
% 28.31/5.29 % (26847)------------------------------
% 28.31/5.29 % (26847)------------------------------
% 28.96/5.30 % (26852)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_26592 for (2962ds/1670Mi)
% 28.96/5.37 % (26851)Instruction limit reached!
% 28.96/5.37 % (26851)------------------------------
% 28.96/5.37 % (26851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.96/5.37 % (26851)Termination reason: Unknown
% 28.96/5.37 % (26851)Termination phase: Saturation
% 28.96/5.37
% 28.96/5.37 % (26851)Memory used [KB]: 7291
% 28.96/5.37 % (26851)Time elapsed: 0.132 s
% 28.96/5.37 % (26851)Instructions burned: 432 (million)
% 28.96/5.37 % (26851)------------------------------
% 28.96/5.37 % (26851)------------------------------
% 28.96/5.38 % (26853)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_26592 for (2961ds/90Mi)
% 29.51/5.41 % (26853)Instruction limit reached!
% 29.51/5.41 % (26853)------------------------------
% 29.51/5.41 % (26853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.51/5.41 % (26853)Termination reason: Unknown
% 29.51/5.41 % (26853)Termination phase: Saturation
% 29.51/5.41
% 29.51/5.41 % (26853)Memory used [KB]: 6268
% 29.51/5.41 % (26853)Time elapsed: 0.027 s
% 29.51/5.41 % (26853)Instructions burned: 90 (million)
% 29.51/5.41 % (26853)------------------------------
% 29.51/5.41 % (26853)------------------------------
% 29.51/5.42 % (26854)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_26592 for (2961ds/346Mi)
% 29.51/5.45 % (26850)Instruction limit reached!
% 29.51/5.45 % (26850)------------------------------
% 29.51/5.45 % (26850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.51/5.45 % (26850)Termination reason: Unknown
% 29.51/5.45 % (26850)Termination phase: Saturation
% 29.51/5.45
% 29.51/5.45 % (26850)Memory used [KB]: 7931
% 29.51/5.45 % (26850)Time elapsed: 0.244 s
% 29.51/5.45 % (26850)Instructions burned: 785 (million)
% 29.51/5.45 % (26850)------------------------------
% 29.51/5.45 % (26850)------------------------------
% 29.51/5.46 % (26855)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_26592 for (2960ds/401Mi)
% 30.19/5.52 % (26854)Instruction limit reached!
% 30.19/5.52 % (26854)------------------------------
% 30.19/5.52 % (26854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.19/5.52 % (26854)Termination reason: Unknown
% 30.19/5.52 % (26854)Termination phase: Saturation
% 30.19/5.52
% 30.19/5.52 % (26854)Memory used [KB]: 7547
% 30.19/5.52 % (26854)Time elapsed: 0.105 s
% 30.19/5.52 % (26854)Instructions burned: 347 (million)
% 30.19/5.52 % (26854)------------------------------
% 30.19/5.52 % (26854)------------------------------
% 30.19/5.53 % (26856)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_26592 for (2959ds/6454Mi)
% 30.19/5.54 % (26824)Instruction limit reached!
% 30.19/5.54 % (26824)------------------------------
% 30.19/5.54 % (26824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.19/5.54 % (26824)Termination reason: Unknown
% 30.19/5.54 % (26824)Termination phase: Saturation
% 30.19/5.54
% 30.19/5.54 % (26824)Memory used [KB]: 9978
% 30.19/5.54 % (26824)Time elapsed: 1.528 s
% 30.19/5.54 % (26824)Instructions burned: 5412 (million)
% 30.19/5.54 % (26824)------------------------------
% 30.19/5.54 % (26824)------------------------------
% 30.19/5.55 % (26857)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_26592 for (2959ds/283Mi)
% 30.19/5.57 % (26855)Instruction limit reached!
% 30.19/5.57 % (26855)------------------------------
% 30.19/5.57 % (26855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.19/5.57 % (26855)Termination reason: Unknown
% 30.19/5.57 % (26855)Termination phase: Saturation
% 30.19/5.57
% 30.19/5.57 % (26855)Memory used [KB]: 7803
% 30.19/5.57 % (26855)Time elapsed: 0.117 s
% 30.19/5.57 % (26855)Instructions burned: 403 (million)
% 30.19/5.57 % (26855)------------------------------
% 30.19/5.57 % (26855)------------------------------
% 30.19/5.58 % (26858)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_26592 for (2959ds/865Mi)
% 30.78/5.61 % (26848)Instruction limit reached!
% 30.78/5.61 % (26848)------------------------------
% 30.78/5.61 % (26848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.78/5.61 % (26848)Termination reason: Unknown
% 30.78/5.61 % (26848)Termination phase: Saturation
% 30.78/5.61
% 30.78/5.61 % (26848)Memory used [KB]: 7419
% 30.78/5.61 % (26848)Time elapsed: 0.613 s
% 30.78/5.61 % (26848)Instructions burned: 1980 (million)
% 30.78/5.61 % (26848)------------------------------
% 30.78/5.61 % (26848)------------------------------
% 30.78/5.62 % (26859)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_26592 for (2959ds/4528Mi)
% 30.78/5.62 % (26839)Instruction limit reached!
% 30.78/5.62 % (26839)------------------------------
% 30.78/5.62 % (26839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.78/5.62 % (26839)Termination reason: Unknown
% 30.78/5.62 % (26839)Termination phase: Saturation
% 30.78/5.62
% 30.78/5.62 % (26839)Memory used [KB]: 10746
% 30.78/5.62 % (26839)Time elapsed: 1.007 s
% 30.78/5.62 % (26839)Instructions burned: 3374 (million)
% 30.78/5.62 % (26839)------------------------------
% 30.78/5.62 % (26839)------------------------------
% 30.78/5.63 % (26860)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_26592 for (2958ds/1001Mi)
% 30.78/5.64 % (26857)Instruction limit reached!
% 30.78/5.64 % (26857)------------------------------
% 30.78/5.64 % (26857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.78/5.64 % (26857)Termination reason: Unknown
% 30.78/5.64 % (26857)Termination phase: Saturation
% 30.78/5.64
% 30.78/5.64 % (26857)Memory used [KB]: 7291
% 30.78/5.64 % (26857)Time elapsed: 0.093 s
% 30.78/5.64 % (26857)Instructions burned: 283 (million)
% 30.78/5.64 % (26857)------------------------------
% 30.78/5.64 % (26857)------------------------------
% 30.78/5.65 % (26861)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_26592 for (2958ds/102Mi)
% 30.78/5.68 % (26861)Instruction limit reached!
% 30.78/5.68 % (26861)------------------------------
% 30.78/5.68 % (26861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.78/5.68 % (26861)Termination reason: Unknown
% 30.78/5.68 % (26861)Termination phase: Saturation
% 30.78/5.68
% 30.78/5.68 % (26861)Memory used [KB]: 6524
% 30.78/5.68 % (26861)Time elapsed: 0.028 s
% 30.78/5.68 % (26861)Instructions burned: 104 (million)
% 30.78/5.68 % (26861)------------------------------
% 30.78/5.68 % (26861)------------------------------
% 30.78/5.69 % (26862)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_26592 for (2958ds/952Mi)
% 31.08/5.71 % (26812)Instruction limit reached!
% 31.08/5.71 % (26812)------------------------------
% 31.08/5.71 % (26812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.08/5.71 % (26812)Termination reason: Unknown
% 31.08/5.71 % (26812)Termination phase: Saturation
% 31.08/5.71
% 31.08/5.71 % (26812)Memory used [KB]: 12281
% 31.08/5.71 % (26812)Time elapsed: 2.525 s
% 31.08/5.71 % (26812)Instructions burned: 8250 (million)
% 31.08/5.71 % (26812)------------------------------
% 31.08/5.71 % (26812)------------------------------
% 31.08/5.72 % (26863)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_26592 for (2958ds/578Mi)
% 31.11/5.81 % (26852)Instruction limit reached!
% 31.11/5.81 % (26852)------------------------------
% 31.11/5.81 % (26852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.11/5.81 % (26852)Termination reason: Unknown
% 31.11/5.81 % (26852)Termination phase: Saturation
% 31.11/5.81
% 31.11/5.81 % (26852)Memory used [KB]: 9594
% 31.11/5.81 % (26852)Time elapsed: 0.514 s
% 31.11/5.81 % (26852)Instructions burned: 1670 (million)
% 31.11/5.81 % (26852)------------------------------
% 31.11/5.81 % (26852)------------------------------
% 31.11/5.82 % (26864)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_26592 for (2957ds/643Mi)
% 31.11/5.85 % (26858)Instruction limit reached!
% 31.11/5.85 % (26858)------------------------------
% 31.11/5.85 % (26858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.11/5.85 % (26858)Termination reason: Unknown
% 31.11/5.85 % (26858)Termination phase: Saturation
% 31.11/5.85
% 31.11/5.85 % (26858)Memory used [KB]: 8571
% 31.11/5.85 % (26858)Time elapsed: 0.273 s
% 31.11/5.85 % (26858)Instructions burned: 865 (million)
% 31.11/5.85 % (26858)------------------------------
% 31.11/5.85 % (26858)------------------------------
% 31.11/5.86 % (26865)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_26592 for (2956ds/865Mi)
% 31.11/5.89 % (26863)Instruction limit reached!
% 31.11/5.89 % (26863)------------------------------
% 31.11/5.89 % (26863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.11/5.89 % (26863)Termination reason: Unknown
% 31.11/5.89 % (26863)Termination phase: Saturation
% 31.11/5.89
% 31.11/5.89 % (26863)Memory used [KB]: 7803
% 31.11/5.89 % (26863)Time elapsed: 0.193 s
% 31.11/5.89 % (26863)Instructions burned: 580 (million)
% 31.11/5.89 % (26863)------------------------------
% 31.11/5.89 % (26863)------------------------------
% 32.10/5.90 % (26866)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_26592 for (2956ds/1174Mi)
% 32.10/5.94 % (26860)Instruction limit reached!
% 32.10/5.94 % (26860)------------------------------
% 32.10/5.94 % (26860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.10/5.94 % (26860)Termination reason: Unknown
% 32.10/5.94 % (26860)Termination phase: Saturation
% 32.10/5.94
% 32.10/5.94 % (26860)Memory used [KB]: 7803
% 32.10/5.94 % (26860)Time elapsed: 0.307 s
% 32.10/5.94 % (26860)Instructions burned: 1003 (million)
% 32.10/5.94 % (26860)------------------------------
% 32.10/5.94 % (26860)------------------------------
% 32.10/5.95 % (26867)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_26592 for (2955ds/644Mi)
% 32.10/5.98 % (26862)Instruction limit reached!
% 32.10/5.98 % (26862)------------------------------
% 32.10/5.98 % (26862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.10/5.98 % (26862)Termination reason: Unknown
% 32.10/5.98 % (26862)Termination phase: Saturation
% 32.10/5.98
% 32.10/5.98 % (26862)Memory used [KB]: 8059
% 32.10/5.98 % (26862)Time elapsed: 0.298 s
% 32.10/5.98 % (26862)Instructions burned: 955 (million)
% 32.10/5.98 % (26862)------------------------------
% 32.10/5.98 % (26862)------------------------------
% 32.10/5.99 % (26868)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_26592 for (2955ds/1201Mi)
% 32.10/6.01 % (26864)Instruction limit reached!
% 32.10/6.01 % (26864)------------------------------
% 32.10/6.01 % (26864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.10/6.01 % (26864)Termination reason: Unknown
% 32.10/6.01 % (26864)Termination phase: Saturation
% 32.10/6.01
% 32.10/6.01 % (26864)Memory used [KB]: 8827
% 32.10/6.01 % (26864)Time elapsed: 0.212 s
% 32.10/6.01 % (26864)Instructions burned: 646 (million)
% 32.10/6.01 % (26864)------------------------------
% 32.10/6.01 % (26864)------------------------------
% 34.15/6.02 % (26869)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_26592 for (2954ds/1046Mi)
% 34.75/6.12 % (26865)Instruction limit reached!
% 34.75/6.12 % (26865)------------------------------
% 34.75/6.12 % (26865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.75/6.12 % (26865)Termination reason: Unknown
% 34.75/6.12 % (26865)Termination phase: Saturation
% 34.75/6.12
% 34.75/6.12 % (26865)Memory used [KB]: 8187
% 34.75/6.12 % (26865)Time elapsed: 0.285 s
% 34.75/6.12 % (26865)Instructions burned: 867 (million)
% 34.75/6.13 % (26865)------------------------------
% 34.75/6.13 % (26865)------------------------------
% 34.75/6.14 % (26870)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_26592 for (2953ds/222Mi)
% 34.75/6.15 % (26867)Instruction limit reached!
% 34.75/6.15 % (26867)------------------------------
% 34.75/6.15 % (26867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.75/6.15 % (26867)Termination reason: Unknown
% 34.75/6.15 % (26867)Termination phase: Saturation
% 34.75/6.15
% 34.75/6.15 % (26867)Memory used [KB]: 8699
% 34.75/6.15 % (26867)Time elapsed: 0.204 s
% 34.75/6.15 % (26867)Instructions burned: 645 (million)
% 34.75/6.15 % (26867)------------------------------
% 34.75/6.15 % (26867)------------------------------
% 34.75/6.16 % (26871)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_26592 for (2953ds/68Mi)
% 34.75/6.18 % (26871)Instruction limit reached!
% 34.75/6.18 % (26871)------------------------------
% 34.75/6.18 % (26871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.75/6.18 % (26871)Termination reason: Unknown
% 34.75/6.18 % (26871)Termination phase: Property scanning
% 34.75/6.18
% 34.75/6.18 % (26871)Memory used [KB]: 1791
% 34.75/6.18 % (26871)Time elapsed: 0.022 s
% 34.75/6.18 % (26871)Instructions burned: 71 (million)
% 34.75/6.18 % (26871)------------------------------
% 34.75/6.18 % (26871)------------------------------
% 34.75/6.19 % (26872)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_26592 for (2953ds/454Mi)
% 35.18/6.20 % (26870)Instruction limit reached!
% 35.18/6.20 % (26870)------------------------------
% 35.18/6.20 % (26870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.18/6.20 % (26870)Termination reason: Unknown
% 35.18/6.20 % (26870)Termination phase: Saturation
% 35.18/6.20
% 35.18/6.20 % (26870)Memory used [KB]: 7036
% 35.18/6.20 % (26870)Time elapsed: 0.064 s
% 35.18/6.20 % (26870)Instructions burned: 222 (million)
% 35.18/6.20 % (26870)------------------------------
% 35.18/6.20 % (26870)------------------------------
% 35.18/6.21 % (26873)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_26592 for (2953ds/360Mi)
% 35.18/6.26 % (26866)Instruction limit reached!
% 35.18/6.26 % (26866)------------------------------
% 35.18/6.26 % (26866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.18/6.26 % (26866)Termination reason: Unknown
% 35.18/6.26 % (26866)Termination phase: Saturation
% 35.18/6.26
% 35.18/6.26 % (26866)Memory used [KB]: 8187
% 35.18/6.26 % (26866)Time elapsed: 0.361 s
% 35.18/6.26 % (26866)Instructions burned: 1176 (million)
% 35.18/6.26 % (26866)------------------------------
% 35.18/6.26 % (26866)------------------------------
% 35.18/6.27 % (26874)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_26592 for (2952ds/157Mi)
% 35.62/6.31 % (26873)Instruction limit reached!
% 35.62/6.31 % (26873)------------------------------
% 35.62/6.31 % (26873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.31 % (26873)Termination reason: Unknown
% 35.62/6.31 % (26873)Termination phase: Saturation
% 35.62/6.31
% 35.62/6.31 % (26873)Memory used [KB]: 7675
% 35.62/6.31 % (26873)Time elapsed: 0.105 s
% 35.62/6.31 % (26873)Instructions burned: 360 (million)
% 35.62/6.31 % (26873)------------------------------
% 35.62/6.31 % (26873)------------------------------
% 35.62/6.31 % (26874)Instruction limit reached!
% 35.62/6.31 % (26874)------------------------------
% 35.62/6.31 % (26874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.31 % (26874)Termination reason: Unknown
% 35.62/6.31 % (26874)Termination phase: Saturation
% 35.62/6.31
% 35.62/6.31 % (26874)Memory used [KB]: 6780
% 35.62/6.31 % (26874)Time elapsed: 0.045 s
% 35.62/6.31 % (26874)Instructions burned: 157 (million)
% 35.62/6.31 % (26874)------------------------------
% 35.62/6.31 % (26874)------------------------------
% 35.62/6.32 % (26875)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_26592 for (2951ds/5061Mi)
% 35.62/6.32 % (26876)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_26592 for (2951ds/2401Mi)
% 35.62/6.33 % (26872)Instruction limit reached!
% 35.62/6.33 % (26872)------------------------------
% 35.62/6.33 % (26872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.33 % (26872)Termination reason: Unknown
% 35.62/6.33 % (26872)Termination phase: Saturation
% 35.62/6.33
% 35.62/6.33 % (26872)Memory used [KB]: 12920
% 35.62/6.33 % (26872)Time elapsed: 0.137 s
% 35.62/6.33 % (26872)Instructions burned: 456 (million)
% 35.62/6.33 % (26872)------------------------------
% 35.62/6.33 % (26872)------------------------------
% 35.62/6.34 % (26877)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_26592 for (2951ds/5798Mi)
% 35.62/6.35 % (26869)Instruction limit reached!
% 35.62/6.35 % (26869)------------------------------
% 35.62/6.35 % (26869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.35 % (26869)Termination reason: Unknown
% 35.62/6.35 % (26869)Termination phase: Saturation
% 35.62/6.35
% 35.62/6.35 % (26869)Memory used [KB]: 8315
% 35.62/6.35 % (26869)Time elapsed: 0.329 s
% 35.62/6.35 % (26869)Instructions burned: 1046 (million)
% 35.62/6.35 % (26869)------------------------------
% 35.62/6.35 % (26869)------------------------------
% 35.62/6.36 % (26878)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_26592 for (2951ds/346Mi)
% 35.62/6.38 % (26868)Instruction limit reached!
% 35.62/6.38 % (26868)------------------------------
% 35.62/6.38 % (26868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.38 % (26868)Termination reason: Unknown
% 35.62/6.38 % (26868)Termination phase: Saturation
% 35.62/6.38
% 35.62/6.38 % (26868)Memory used [KB]: 8699
% 35.62/6.38 % (26868)Time elapsed: 0.385 s
% 35.62/6.38 % (26868)Instructions burned: 1203 (million)
% 35.62/6.38 % (26868)------------------------------
% 35.62/6.38 % (26868)------------------------------
% 35.62/6.39 % (26879)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_26592 for (2951ds/1321Mi)
% 36.55/6.46 % (26878)Instruction limit reached!
% 36.55/6.46 % (26878)------------------------------
% 36.55/6.46 % (26878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.55/6.46 % (26878)Termination reason: Unknown
% 36.55/6.46 % (26878)Termination phase: Saturation
% 36.55/6.46
% 36.55/6.46 % (26878)Memory used [KB]: 7547
% 36.55/6.46 % (26878)Time elapsed: 0.106 s
% 36.55/6.46 % (26878)Instructions burned: 349 (million)
% 36.55/6.46 % (26878)------------------------------
% 36.55/6.46 % (26878)------------------------------
% 36.55/6.47 % (26880)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_26592 for (2950ds/1312Mi)
% 37.26/6.77 % (26879)Instruction limit reached!
% 37.26/6.77 % (26879)------------------------------
% 37.26/6.77 % (26879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.26/6.77 % (26879)Termination reason: Unknown
% 37.26/6.77 % (26879)Termination phase: Saturation
% 37.26/6.77
% 37.26/6.77 % (26879)Memory used [KB]: 3070
% 37.26/6.77 % (26879)Time elapsed: 0.384 s
% 37.26/6.77 % (26879)Instructions burned: 1322 (million)
% 37.26/6.77 % (26879)------------------------------
% 37.26/6.77 % (26879)------------------------------
% 37.26/6.78 % (26881)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_26592 for (2947ds/672Mi)
% 37.86/6.88 % (26880)Instruction limit reached!
% 37.86/6.88 % (26880)------------------------------
% 37.86/6.88 % (26880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.86/6.88 % (26880)Termination reason: Unknown
% 37.86/6.88 % (26880)Termination phase: Saturation
% 37.86/6.88
% 37.86/6.88 % (26880)Memory used [KB]: 8443
% 37.86/6.88 % (26880)Time elapsed: 0.404 s
% 37.86/6.88 % (26880)Instructions burned: 1313 (million)
% 37.86/6.88 % (26880)------------------------------
% 37.86/6.88 % (26880)------------------------------
% 37.86/6.89 % (26882)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_26592 for (2946ds/1897Mi)
% 38.47/6.91 % (26859)Instruction limit reached!
% 38.47/6.91 % (26859)------------------------------
% 38.47/6.91 % (26859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.47/6.91 % (26859)Termination reason: Unknown
% 38.47/6.91 % (26859)Termination phase: Saturation
% 38.47/6.91
% 38.47/6.91 % (26859)Memory used [KB]: 6524
% 38.47/6.91 % (26859)Time elapsed: 1.311 s
% 38.47/6.91 % (26859)Instructions burned: 4529 (million)
% 38.47/6.91 % (26859)------------------------------
% 38.47/6.91 % (26859)------------------------------
% 38.47/6.92 % (26883)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_26592 for (2945ds/1202Mi)
% 38.47/6.99 % (26881)Instruction limit reached!
% 38.47/6.99 % (26881)------------------------------
% 38.47/6.99 % (26881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.47/6.99 % (26881)Termination reason: Unknown
% 38.47/6.99 % (26881)Termination phase: Saturation
% 38.47/6.99
% 38.47/6.99 % (26881)Memory used [KB]: 7419
% 38.47/6.99 % (26881)Time elapsed: 0.212 s
% 38.47/6.99 % (26881)Instructions burned: 673 (million)
% 38.47/6.99 % (26881)------------------------------
% 38.47/6.99 % (26881)------------------------------
% 38.47/7.00 % (26884)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_26592 for (2945ds/1493Mi)
% 41.11/7.05 % (26876)Instruction limit reached!
% 41.11/7.05 % (26876)------------------------------
% 41.11/7.05 % (26876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.11/7.05 % (26876)Termination reason: Unknown
% 41.11/7.05 % (26876)Termination phase: Saturation
% 41.11/7.05
% 41.11/7.05 % (26876)Memory used [KB]: 11001
% 41.11/7.05 % (26876)Time elapsed: 0.730 s
% 41.11/7.05 % (26876)Instructions burned: 2403 (million)
% 41.11/7.05 % (26876)------------------------------
% 41.11/7.05 % (26876)------------------------------
% 41.11/7.06 % (26885)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_26592 for (2944ds/7679Mi)
% 42.27/7.27 % (26883)Instruction limit reached!
% 42.27/7.27 % (26883)------------------------------
% 42.27/7.27 % (26883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.27/7.27 % (26883)Termination reason: Unknown
% 42.27/7.27 % (26883)Termination phase: Saturation
% 42.27/7.27
% 42.27/7.27 % (26883)Memory used [KB]: 3965
% 42.27/7.27 % (26883)Time elapsed: 0.352 s
% 42.27/7.27 % (26883)Instructions burned: 1203 (million)
% 42.27/7.27 % (26883)------------------------------
% 42.27/7.27 % (26883)------------------------------
% 42.27/7.28 % (26892)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_26592 for (2942ds/340Mi)
% 42.85/7.39 % (26892)Instruction limit reached!
% 42.85/7.39 % (26892)------------------------------
% 42.85/7.39 % (26892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.85/7.39 % (26892)Termination reason: Unknown
% 42.85/7.39 % (26892)Termination phase: Saturation
% 42.85/7.39
% 42.85/7.39 % (26892)Memory used [KB]: 7803
% 42.85/7.39 % (26892)Time elapsed: 0.107 s
% 42.85/7.39 % (26892)Instructions burned: 340 (million)
% 42.85/7.39 % (26892)------------------------------
% 42.85/7.39 % (26892)------------------------------
% 42.85/7.40 % (26945)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_26592 for (2941ds/3672Mi)
% 43.46/7.47 % (26884)Instruction limit reached!
% 43.46/7.47 % (26884)------------------------------
% 43.46/7.47 % (26884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.46/7.47 % (26884)Termination reason: Unknown
% 43.46/7.47 % (26884)Termination phase: Saturation
% 43.46/7.47
% 43.46/7.47 % (26884)Memory used [KB]: 8315
% 43.46/7.47 % (26884)Time elapsed: 0.468 s
% 43.46/7.47 % (26884)Instructions burned: 1493 (million)
% 43.46/7.47 % (26884)------------------------------
% 43.46/7.47 % (26884)------------------------------
% 43.46/7.48 % (26984)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_26592 for (2940ds/1535Mi)
% 43.95/7.53 % (26856)Instruction limit reached!
% 43.95/7.53 % (26856)------------------------------
% 43.95/7.53 % (26856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.95/7.53 % (26856)Termination reason: Unknown
% 43.95/7.53 % (26856)Termination phase: Saturation
% 43.95/7.53
% 43.95/7.53 % (26856)Memory used [KB]: 10106
% 43.95/7.53 % (26856)Time elapsed: 2.003 s
% 43.95/7.53 % (26856)Instructions burned: 6456 (million)
% 43.95/7.53 % (26856)------------------------------
% 43.95/7.53 % (26856)------------------------------
% 43.95/7.54 % (27016)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_26592 for (2939ds/4637Mi)
% 43.95/7.54 % (26882)Instruction limit reached!
% 43.95/7.54 % (26882)------------------------------
% 43.95/7.54 % (26882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.95/7.54 % (26882)Termination reason: Unknown
% 43.95/7.54 % (26882)Termination phase: Saturation
% 43.95/7.54
% 43.95/7.54 % (26882)Memory used [KB]: 8955
% 43.95/7.54 % (26882)Time elapsed: 0.649 s
% 43.95/7.54 % (26882)Instructions burned: 1899 (million)
% 43.95/7.54 % (26882)------------------------------
% 43.95/7.54 % (26882)------------------------------
% 43.95/7.55 % (27023)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_26592 for (2939ds/3174Mi)
% 44.86/7.90 % (26875)Instruction limit reached!
% 44.86/7.90 % (26875)------------------------------
% 44.86/7.90 % (26875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/7.90 % (26875)Termination reason: Unknown
% 44.86/7.90 % (26875)Termination phase: Saturation
% 44.86/7.90
% 44.86/7.90 % (26875)Memory used [KB]: 9466
% 44.86/7.90 % (26875)Time elapsed: 1.577 s
% 44.86/7.90 % (26875)Instructions burned: 5063 (million)
% 44.86/7.90 % (26875)------------------------------
% 44.86/7.90 % (26875)------------------------------
% 44.86/7.91 % (27121)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_26592 for (2936ds/307Mi)
% 44.86/7.94 % (26984)Instruction limit reached!
% 44.86/7.94 % (26984)------------------------------
% 44.86/7.94 % (26984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/7.94 % (26984)Termination reason: Unknown
% 44.86/7.94 % (26984)Termination phase: Saturation
% 44.86/7.94
% 44.86/7.94 % (26984)Memory used [KB]: 10362
% 44.86/7.94 % (26984)Time elapsed: 0.464 s
% 44.86/7.94 % (26984)Instructions burned: 1536 (million)
% 44.86/7.94 % (26984)------------------------------
% 44.86/7.94 % (26984)------------------------------
% 44.86/7.95 % (27122)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_26592 for (2935ds/3619Mi)
% 44.86/7.98 % (27023)First to succeed.
% 44.86/7.99 % (27023)Refutation found. Thanks to Tanya!
% 44.86/7.99 % SZS status Theorem for DTF2THF_26592
% 44.86/7.99 % SZS output start Proof for DTF2THF_26592
% 44.86/7.99 thf(type_def_6, type, set: ($tType) > $tType).
% 44.86/7.99 thf(type_def_7, type, real: $tType).
% 44.86/7.99 thf(type_def_8, type, a: $tType).
% 44.86/7.99 thf(func_def_0, type, real: $tType).
% 44.86/7.99 thf(func_def_1, type, set: ($tType) > $tType).
% 44.86/7.99 thf(func_def_2, type, a: $tType).
% 44.86/7.99 thf(func_def_3, type, execut510477386_space: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_4, type, type: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_5, type, zero: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_6, type, order: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_7, type, group_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_8, type, monoid_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_9, type, ab_group_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_10, type, semigroup_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_11, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_12, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_13, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_14, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_15, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_16, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_17, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_18, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_19, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_20, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_21, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_22, type, strict797366125id_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_23, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_24, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_25, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_26, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 44.86/7.99 thf(func_def_27, type, auto_l1112008849e_ivl0: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > set @ real)).
% 44.86/7.99 thf(func_def_28, type, auto_ll_on_flow0: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > real > X0)).
% 44.86/7.99 thf(func_def_29, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 44.86/7.99 thf(func_def_30, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 44.86/7.99 thf(func_def_31, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 44.86/7.99 thf(func_def_32, type, zero_zero: !>[X0: $tType]:(X0)).
% 44.86/7.99 thf(func_def_33, type, initia826609931terval: set @ real > $o).
% 44.86/7.99 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 44.86/7.99 thf(func_def_35, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 44.86/7.99 thf(func_def_36, type, top_top: !>[X0: $tType]:(X0)).
% 44.86/7.99 thf(func_def_37, type, period385816147_orbit: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > $o)).
% 44.86/7.99 thf(func_def_38, type, period1153813292period: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > real)).
% 44.86/7.99 thf(func_def_39, type, period862636932_orbit: !>[X0: $tType]:((X0 > X0) > set @ X0 > X0 > $o)).
% 44.86/7.99 thf(func_def_40, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 44.86/7.99 thf(func_def_41, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 44.86/7.99 thf(func_def_42, type, x: set @ a).
% 44.86/7.99 thf(func_def_43, type, d: real).
% 44.86/7.99 thf(func_def_44, type, f: a > a).
% 44.86/7.99 thf(func_def_45, type, i1: real).
% 44.86/7.99 thf(func_def_46, type, i2: real).
% 44.86/7.99 thf(func_def_47, type, ss: real).
% 44.86/7.99 thf(func_def_48, type, t: real).
% 44.86/7.99 thf(func_def_49, type, tt: real).
% 44.86/7.99 thf(func_def_50, type, x2: a).
% 44.86/7.99 thf(func_def_51, type, xx: a).
% 44.86/7.99 thf(func_def_63, type, sK0: (a > a) > set @ a > a).
% 44.86/7.99 thf(func_def_64, type, sK1: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 44.86/7.99 thf(func_def_65, type, sK2: (a > a) > set @ a > a).
% 44.86/7.99 thf(func_def_66, type, sK3: (a > a) > set @ a > a).
% 44.86/7.99 thf(func_def_67, type, sK4: (a > a) > set @ a > a).
% 44.86/7.99 thf(func_def_69, type, ph6: !>[X0: $tType]:(X0)).
% 44.86/7.99 thf(func_def_70, type, sK7: a).
% 44.86/7.99 thf(f3978,plain,(
% 44.86/7.99 $false),
% 44.86/7.99 inference(subsumption_resolution,[status(thm)],[f3976,f1236])).
% 44.86/7.99 thf(f1236,plain,(
% 44.86/7.99 (xx != (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (minus_minus @ real @ ss @ tt)))),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f900])).
% 44.86/7.99 thf(f900,plain,(
% 44.86/7.99 (xx != (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (minus_minus @ real @ ss @ tt)))),
% 44.86/7.99 inference(flattening,[status(thm)],[f306])).
% 44.86/7.99 thf(f306,negated_conjecture,(
% 44.86/7.99 ~(xx = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (minus_minus @ real @ ss @ tt)))),
% 44.86/7.99 inference(negated_conjecture,[status(cth)],[f305])).
% 44.86/7.99 thf(f305,conjecture,(
% 44.86/7.99 (xx = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (minus_minus @ real @ ss @ tt)))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',conj_0)).
% 44.86/7.99 thf(f3976,plain,(
% 44.86/7.99 (xx = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (minus_minus @ real @ ss @ tt)))),
% 44.86/7.99 inference(backward_demodulation,[status(thm)],[f2918,f3940])).
% 44.86/7.99 thf(f3940,plain,(
% 44.86/7.99 ( ! [X0 : real,X1 : real] : (((minus_minus @ real @ X1 @ X0) = (plus_plus @ real @ X1 @ (uminus_uminus @ real @ X0)))) )),
% 44.86/7.99 inference(superposition,[status(thm)],[f1732,f1528])).
% 44.86/7.99 thf(f1528,plain,(
% 44.86/7.99 ( ! [X0 : real] : (((uminus_uminus @ real @ (uminus_uminus @ real @ X0)) = X0)) )),
% 44.86/7.99 inference(trivial_inequality_removal,[status(thm)],[f1525])).
% 44.86/7.99 thf(f1525,plain,(
% 44.86/7.99 ( ! [X0 : real] : (((uminus_uminus @ real @ (uminus_uminus @ real @ X0)) = X0) | ($true != $true)) )),
% 44.86/7.99 inference(superposition,[status(thm)],[f1183,f1164])).
% 44.86/7.99 thf(f1164,plain,(
% 44.86/7.99 (group_add @ real = $true)),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f687])).
% 44.86/7.99 thf(f687,plain,(
% 44.86/7.99 (group_add @ real = $true)),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f686])).
% 44.86/7.99 thf(f686,plain,(
% 44.86/7.99 group_add @ real),
% 44.86/7.99 inference(rectify,[status(thm)],[f301])).
% 44.86/7.99 thf(f301,axiom,(
% 44.86/7.99 group_add @ real),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',tcon_Real_Oreal___Groups_Ogroup__add)).
% 44.86/7.99 thf(f1183,plain,(
% 44.86/7.99 ( ! [X0 : $tType,X1 : X0] : ((group_add @ X0 != $true) | ((uminus_uminus @ X0 @ (uminus_uminus @ X0 @ X1)) = X1)) )),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f1087])).
% 44.86/7.99 thf(f1087,plain,(
% 44.86/7.99 ! [X0 : $tType] : ((group_add @ X0 != $true) | ! [X1 : X0] : ((uminus_uminus @ X0 @ (uminus_uminus @ X0 @ X1)) = X1))),
% 44.86/7.99 inference(ennf_transformation,[status(thm)],[f801])).
% 44.86/7.99 thf(f801,plain,(
% 44.86/7.99 ! [X0 : $tType] : ((group_add @ X0 = $true) => ! [X1 : X0] : ((uminus_uminus @ X0 @ (uminus_uminus @ X0 @ X1)) = X1))),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f800])).
% 44.86/7.99 thf(f800,plain,(
% 44.86/7.99 ! [X0 : $tType] : (group_add @ X0 => ! [X1 : X0] : ((uminus_uminus @ X0 @ (uminus_uminus @ X0 @ X1)) = X1))),
% 44.86/7.99 inference(rectify,[status(thm)],[f42])).
% 44.86/7.99 thf(f42,axiom,(
% 44.86/7.99 ! [X0 : $tType] : (group_add @ X0 => ! [X14 : X0] : ((uminus_uminus @ X0 @ (uminus_uminus @ X0 @ X14)) = X14))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_41_add_Oinverse__inverse)).
% 44.86/7.99 thf(f1732,plain,(
% 44.86/7.99 ( ! [X0 : real,X1 : real] : (((plus_plus @ real @ X0 @ X1) = (minus_minus @ real @ X0 @ (uminus_uminus @ real @ X1)))) )),
% 44.86/7.99 inference(trivial_inequality_removal,[status(thm)],[f1729])).
% 44.86/7.99 thf(f1729,plain,(
% 44.86/7.99 ( ! [X0 : real,X1 : real] : (((plus_plus @ real @ X0 @ X1) = (minus_minus @ real @ X0 @ (uminus_uminus @ real @ X1))) | ($true != $true)) )),
% 44.86/7.99 inference(superposition,[status(thm)],[f1320,f1164])).
% 44.86/7.99 thf(f1320,plain,(
% 44.86/7.99 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((group_add @ X0 != $true) | ((plus_plus @ X0 @ X1 @ X2) = (minus_minus @ X0 @ X1 @ (uminus_uminus @ X0 @ X2)))) )),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f1054])).
% 44.86/7.99 thf(f1054,plain,(
% 44.86/7.99 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : ((plus_plus @ X0 @ X1 @ X2) = (minus_minus @ X0 @ X1 @ (uminus_uminus @ X0 @ X2))) | (group_add @ X0 != $true))),
% 44.86/7.99 inference(ennf_transformation,[status(thm)],[f705])).
% 44.86/7.99 thf(f705,plain,(
% 44.86/7.99 ! [X0 : $tType] : ((group_add @ X0 = $true) => ! [X1 : X0,X2 : X0] : ((plus_plus @ X0 @ X1 @ X2) = (minus_minus @ X0 @ X1 @ (uminus_uminus @ X0 @ X2))))),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f704])).
% 44.86/7.99 thf(f704,plain,(
% 44.86/7.99 ! [X0 : $tType] : (group_add @ X0 => ! [X1 : X0,X2 : X0] : ((plus_plus @ X0 @ X1 @ X2) = (minus_minus @ X0 @ X1 @ (uminus_uminus @ X0 @ X2))))),
% 44.86/7.99 inference(rectify,[status(thm)],[f197])).
% 44.86/7.99 thf(f197,axiom,(
% 44.86/7.99 ! [X0 : $tType] : (group_add @ X0 => ! [X14 : X0,X15 : X0] : ((plus_plus @ X0 @ X14 @ X15) = (minus_minus @ X0 @ X14 @ (uminus_uminus @ X0 @ X15))))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_196_diff__minus__eq__add)).
% 44.86/7.99 thf(f2918,plain,(
% 44.86/7.99 (xx = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (plus_plus @ real @ ss @ (uminus_uminus @ real @ tt))))),
% 44.86/7.99 inference(forward_demodulation,[status(thm)],[f2917,f2438])).
% 44.86/7.99 thf(f2438,plain,(
% 44.86/7.99 (xx = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss) @ (uminus_uminus @ real @ tt)))),
% 44.86/7.99 inference(forward_demodulation,[status(thm)],[f2437,f1143])).
% 44.86/7.99 thf(f1143,plain,(
% 44.86/7.99 ((auto_ll_on_flow0 @ a @ f @ x @ xx @ tt) = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss))),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f3])).
% 44.86/7.99 thf(f3,axiom,(
% 44.86/7.99 ((auto_ll_on_flow0 @ a @ f @ x @ xx @ tt) = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_2_eq)).
% 44.86/7.99 thf(f2437,plain,(
% 44.86/7.99 (xx = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt) @ (uminus_uminus @ real @ tt)))),
% 44.86/7.99 inference(trivial_inequality_removal,[status(thm)],[f2430])).
% 44.86/7.99 thf(f2430,plain,(
% 44.86/7.99 ($true != $true) | (xx = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt) @ (uminus_uminus @ real @ tt)))),
% 44.86/7.99 inference(superposition,[status(thm)],[f1636,f1265])).
% 44.86/7.99 thf(f1265,plain,(
% 44.86/7.99 ((member @ real @ tt @ (auto_l1112008849e_ivl0 @ a @ f @ x @ xx)) = $true)),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f333])).
% 44.86/7.99 thf(f333,plain,(
% 44.86/7.99 ((member @ real @ tt @ (auto_l1112008849e_ivl0 @ a @ f @ x @ xx)) = $true)),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f332])).
% 44.86/7.99 thf(f332,plain,(
% 44.86/7.99 (member @ real @ tt @ (auto_l1112008849e_ivl0 @ a @ f @ x @ xx))),
% 44.86/7.99 inference(rectify,[status(thm)],[f5])).
% 44.86/7.99 thf(f5,axiom,(
% 44.86/7.99 (member @ real @ tt @ (auto_l1112008849e_ivl0 @ a @ f @ x @ xx))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_4_tt__ex)).
% 44.86/7.99 thf(f1636,plain,(
% 44.86/7.99 ( ! [X0 : real,X1 : a] : (((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true) | ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ (uminus_uminus @ real @ X0)) = X1)) )),
% 44.86/7.99 inference(backward_demodulation,[status(thm)],[f1250,f1633])).
% 44.86/7.99 thf(f1633,plain,(
% 44.86/7.99 ( ! [X0 : real] : (((uminus_uminus @ real @ X0) = (minus_minus @ real @ zero_zero @ real @ X0))) )),
% 44.86/7.99 inference(trivial_inequality_removal,[status(thm)],[f1631])).
% 44.86/7.99 thf(f1631,plain,(
% 44.86/7.99 ( ! [X0 : real] : (($true != $true) | ((uminus_uminus @ real @ X0) = (minus_minus @ real @ zero_zero @ real @ X0))) )),
% 44.86/7.99 inference(superposition,[status(thm)],[f1245,f1164])).
% 44.86/7.99 thf(f1245,plain,(
% 44.86/7.99 ( ! [X0 : $tType,X1 : X0] : ((group_add @ X0 != $true) | ((uminus_uminus @ X0 @ X1) = (minus_minus @ X0 @ zero_zero @ X0 @ X1))) )),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f1078])).
% 44.86/7.99 thf(f1078,plain,(
% 44.86/7.99 ! [X0 : $tType] : ((group_add @ X0 != $true) | ! [X1 : X0] : ((uminus_uminus @ X0 @ X1) = (minus_minus @ X0 @ zero_zero @ X0 @ X1)))),
% 44.86/7.99 inference(ennf_transformation,[status(thm)],[f457])).
% 44.86/7.99 thf(f457,plain,(
% 44.86/7.99 ! [X0 : $tType] : ((group_add @ X0 = $true) => ! [X1 : X0] : ((uminus_uminus @ X0 @ X1) = (minus_minus @ X0 @ zero_zero @ X0 @ X1)))),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f456])).
% 44.86/7.99 thf(f456,plain,(
% 44.86/7.99 ! [X0 : $tType] : (group_add @ X0 => ! [X1 : X0] : ((uminus_uminus @ X0 @ X1) = (minus_minus @ X0 @ zero_zero @ X0 @ X1)))),
% 44.86/7.99 inference(rectify,[status(thm)],[f32])).
% 44.86/7.99 thf(f32,axiom,(
% 44.86/7.99 ! [X5 : $tType] : (group_add @ X5 => ! [X15 : X5] : ((minus_minus @ X5 @ zero_zero @ X5 @ X15) = (uminus_uminus @ X5 @ X15)))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_31_verit__minus__simplify_I3_J)).
% 44.86/7.99 thf(f1250,plain,(
% 44.86/7.99 ( ! [X0 : real,X1 : a] : (((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true) | ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ (minus_minus @ real @ zero_zero @ real @ X0)) = X1)) )),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f981])).
% 44.86/7.99 thf(f981,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a] : (((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true) | ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ (minus_minus @ real @ zero_zero @ real @ X0)) = X1))),
% 44.86/7.99 inference(ennf_transformation,[status(thm)],[f481])).
% 44.86/7.99 thf(f481,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a] : (((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) = $true) => ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ (minus_minus @ real @ zero_zero @ real @ X0)) = X1))),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f480])).
% 44.86/7.99 thf(f480,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a] : ((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) => ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ (minus_minus @ real @ zero_zero @ real @ X0)) = X1))),
% 44.86/7.99 inference(rectify,[status(thm)],[f34])).
% 44.86/7.99 thf(f34,axiom,(
% 44.86/7.99 ! [X2 : real,X4 : a] : ((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X4)) => ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X4 @ X2) @ (minus_minus @ real @ zero_zero @ real @ X2)) = X4))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_33_local_Oflows__reverse)).
% 44.86/7.99 thf(f2917,plain,(
% 44.86/7.99 ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss) @ (uminus_uminus @ real @ tt)) = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (plus_plus @ real @ ss @ (uminus_uminus @ real @ tt))))),
% 44.86/7.99 inference(subsumption_resolution,[status(thm)],[f2913,f1298])).
% 44.86/7.99 thf(f1298,plain,(
% 44.86/7.99 ((member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2)) = $true)),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f599])).
% 44.86/7.99 thf(f599,plain,(
% 44.86/7.99 ((member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2)) = $true)),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f598])).
% 44.86/7.99 thf(f598,plain,(
% 44.86/7.99 (member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2))),
% 44.86/7.99 inference(rectify,[status(thm)],[f6])).
% 44.86/7.99 thf(f6,axiom,(
% 44.86/7.99 (member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_5_ss__ex)).
% 44.86/7.99 thf(f2913,plain,(
% 44.86/7.99 ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss) @ (uminus_uminus @ real @ tt)) = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (plus_plus @ real @ ss @ (uminus_uminus @ real @ tt)))) | ((member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2)) != $true)),
% 44.86/7.99 inference(trivial_inequality_removal,[status(thm)],[f2912])).
% 44.86/7.99 thf(f2912,plain,(
% 44.86/7.99 ((member @ real @ ss @ (auto_l1112008849e_ivl0 @ a @ f @ x @ x2)) != $true) | ((auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss) @ (uminus_uminus @ real @ tt)) = (auto_ll_on_flow0 @ a @ f @ x @ x2 @ (plus_plus @ real @ ss @ (uminus_uminus @ real @ tt)))) | ($true != $true)),
% 44.86/7.99 inference(superposition,[status(thm)],[f1195,f1412])).
% 44.86/7.99 thf(f1412,plain,(
% 44.86/7.99 ($true = (member @ real @ (uminus_uminus @ real @ tt) @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ x2 @ ss))))),
% 44.86/7.99 inference(backward_demodulation,[status(thm)],[f1138,f1143])).
% 44.86/7.99 thf(f1138,plain,(
% 44.86/7.99 ((member @ real @ (uminus_uminus @ real @ tt) @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt))) = $true)),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f667])).
% 44.86/7.99 thf(f667,plain,(
% 44.86/7.99 ((member @ real @ (uminus_uminus @ real @ tt) @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt))) = $true)),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f666])).
% 44.86/7.99 thf(f666,plain,(
% 44.86/7.99 (member @ real @ (uminus_uminus @ real @ tt) @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt)))),
% 44.86/7.99 inference(rectify,[status(thm)],[f8])).
% 44.86/7.99 thf(f8,axiom,(
% 44.86/7.99 (member @ real @ (uminus_uminus @ real @ tt) @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ xx @ tt)))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_7_neg__tt__ex)).
% 44.86/7.99 thf(f1195,plain,(
% 44.86/7.99 ( ! [X2 : real,X0 : real,X1 : a] : (((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0))) != $true) | ((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true) | ((auto_ll_on_flow0 @ a @ f @ x @ X1 @ (plus_plus @ real @ X0 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ X2))) )),
% 44.86/7.99 inference(cnf_transformation,[status(thm)],[f989])).
% 44.86/7.99 thf(f989,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a,X2 : real] : (((auto_ll_on_flow0 @ a @ f @ x @ X1 @ (plus_plus @ real @ X0 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ X2)) | ((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0))) != $true) | ((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true))),
% 44.86/7.99 inference(flattening,[status(thm)],[f988])).
% 44.86/7.99 thf(f988,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a,X2 : real] : ((((auto_ll_on_flow0 @ a @ f @ x @ X1 @ (plus_plus @ real @ X0 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ X2)) | ((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0))) != $true)) | ((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) != $true))),
% 44.86/7.99 inference(ennf_transformation,[status(thm)],[f751])).
% 44.86/7.99 thf(f751,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a,X2 : real] : (((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) = $true) => (((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0))) = $true) => ((auto_ll_on_flow0 @ a @ f @ x @ X1 @ (plus_plus @ real @ X0 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ X2))))),
% 44.86/7.99 inference(fool_elimination,[status(thm)],[f750])).
% 44.86/7.99 thf(f750,plain,(
% 44.86/7.99 ! [X0 : real,X1 : a,X2 : real] : ((member @ real @ X0 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X1)) => ((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0))) => ((auto_ll_on_flow0 @ a @ f @ x @ X1 @ (plus_plus @ real @ X0 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X1 @ X0) @ X2))))),
% 44.86/7.99 inference(rectify,[status(thm)],[f140])).
% 44.86/7.99 thf(f140,axiom,(
% 44.86/7.99 ! [X21 : real,X4 : a,X2 : real] : ((member @ real @ X21 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ X4)) => ((member @ real @ X2 @ (auto_l1112008849e_ivl0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X4 @ X21))) => ((auto_ll_on_flow0 @ a @ f @ x @ X4 @ (plus_plus @ real @ X21 @ X2)) = (auto_ll_on_flow0 @ a @ f @ x @ (auto_ll_on_flow0 @ a @ f @ x @ X4 @ X21) @ X2))))),
% 44.86/7.99 file('/export/starexec/sandbox/tmp/tmp.OHlK4ofSRk/DTF2THF_26592.p',fact_139_local_Oflow__trans)).
% 44.86/7.99 % SZS output end Proof for DTF2THF_26592
% 44.86/7.99 % (27023)------------------------------
% 44.86/7.99 % (27023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/7.99 % (27023)Termination reason: Refutation
% 44.86/7.99
% 44.86/7.99 % (27023)Memory used [KB]: 9338
% 44.86/7.99 % (27023)Time elapsed: 0.433 s
% 44.86/7.99 % (27023)Instructions burned: 1296 (million)
% 44.86/7.99 % (27023)------------------------------
% 44.86/7.99 % (27023)------------------------------
% 44.86/7.99 % (26690)Success in time 6.473 s
%------------------------------------------------------------------------------