%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP021_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:28:42 AM UTC 2026
% Result : Theorem 9.62s 2.62s
% Output : Refutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 33
% Syntax : Number of formulae : 217 ( 56 unt; 0 typ; 22 def)
% Number of atoms : 504 ( 78 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 483 ( 196 ~; 237 |; 28 &)
% ( 20 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 15 prp; 0-3 aty)
% Number of functors : 85 ( 85 usr; 37 con; 0-4 aty)
% Number of variables : 121 ( 0 sgn 112 !; 9 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
u: $tType ).
tff(type_def_6,type,
d: $tType ).
tff(type_def_7,type,
du: $tType ).
tff(type_def_8,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
mono_2Etyop_2Eextreal_2Eextreal: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_11,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_12,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: $tType ).
tff(type_def_13,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_14,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: $tType ).
tff(type_def_15,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_16,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: $tType ).
tff(func_def_0,type,
tyop_2Eextreal_2Eextreal: d ).
tff(func_def_1,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_2,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_3,type,
s: ( d * u ) > du ).
tff(func_def_4,type,
app_2E2: ( du * du ) > u ).
tff(func_def_5,type,
combin_i_2E0: u ).
tff(func_def_6,type,
combin_k_2E0: u ).
tff(func_def_7,type,
combin_s_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_9,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_11,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_13,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_15,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_17,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_18,type,
c_2Ebool_2ECOND_2E0: u ).
tff(func_def_19,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff(func_def_20,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_21,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_22,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_23,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_24,type,
c_2Eextreal_2Eextreal__le_2E0: u ).
tff(func_def_25,type,
c_2Eextreal_2Eextreal__le_2E2: ( du * du ) > u ).
tff(func_def_26,type,
c_2Eextreal_2Eextreal__max_2E0: u ).
tff(func_def_27,type,
c_2Eextreal_2Eextreal__max_2E2: ( du * du ) > u ).
tff(func_def_28,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_29,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_30,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_31,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_32,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).
tff(func_def_33,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_34,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_35,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_36,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).
tff(func_def_37,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_38,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_39,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_40,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_41,type,
mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_43,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_44,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_46,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
mono_2Ec_2Eextreal_2Eextreal__le_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_48,type,
mono_2Ec_2Eextreal_2Eextreal__le_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_49,type,
mono_2Ec_2Eextreal_2Eextreal__max_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).
tff(func_def_50,type,
mono_2Ec_2Eextreal_2Eextreal__max_2E2: ( mono_2Etyop_2Eextreal_2Eextreal * mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_51,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_52,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_54,type,
i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
tff(func_def_55,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_56,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_57,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 > u ).
tff(func_def_58,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_59,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 > u ).
tff(func_def_60,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_61,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 > u ).
tff(func_def_62,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_63,type,
j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_64,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_65,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_66,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 ).
tff(func_def_67,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_68,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).
tff(func_def_69,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_70,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ).
tff(func_def_71,type,
sK12: ( d * d * u * u ) > u ).
tff(func_def_72,type,
sK13: ( d * u ) > u ).
tff(func_def_73,type,
sK14: ( d * u ) > u ).
tff(func_def_74,type,
sK15: mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_75,type,
sK16: mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_76,type,
sK17: mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_77,type,
sF18: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_78,type,
sF19: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_79,type,
sF20: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_80,type,
sF21: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_81,type,
sF22: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ).
tff(func_def_82,type,
sF23: mono_2Etyop_2Eextreal_2Eextreal ).
tff(func_def_83,type,
sF24: mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_84,type,
sF25: mono_2Etyop_2Emin_2Ebool ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_6,type,
sP4: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_7,type,
sP5: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_8,type,
sP6: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_9,type,
sP7: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_10,type,
sP8: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_11,type,
sP9: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_12,type,
sP10: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_13,type,
sP11: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(f26,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Eextreal_2Eextreal) ).
tff(f40,axiom,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(X0,X1,X2) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal) ).
tff(f42,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Eextreal_2Eextreal__le_2E2) ).
tff(f43,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__max_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Eextreal_2Eextreal__max_2E2) ).
tff(f53,axiom,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] : ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(X0,X1,X2))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X1)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal) ).
tff(f63,axiom,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X0) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f64,axiom,
! [X0: d,X1: u,X2: u] :
( ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) = s(X0,X1) )
& ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X1),s(X0,X2))) = s(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
tff(f68,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X2)) )
=> p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
tff(f69,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
tff(f70,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__max_2E2(X0,X1) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
tff(f81,conjecture,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0))
<=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
tff(f82,negated_conjecture,
~ ! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0))
<=> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f81]) ).
tff(f95,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X2))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X2)) ),
inference(ennf_transformation,[],[f68]) ).
tff(f96,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X2))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X2)) ),
inference(flattening,[],[f95]) ).
tff(f106,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0))
<~> ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0)) ) ),
inference(ennf_transformation,[],[f82]) ).
tff(f154,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f63]) ).
tff(f155,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) ) ),
inference(flattening,[],[f154]) ).
tff(f209,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0)) )
& ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0)) )
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0)) ) ),
inference(nnf_transformation,[],[f106]) ).
tff(f210,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0)) )
& ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X2,X0)) )
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(X1,X2),X0)) ) ),
inference(flattening,[],[f209]) ).
tff(f211,plain,
( ( ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK16,sK15))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK17,sK15))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(sK16,sK17),sK15)) )
& ( ( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK16,sK15))
& p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK17,sK15)) )
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(sK16,sK17),sK15)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X2,sK17)],[f210]) ).
tff(f248,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0))) = X0 ),
inference(cnf_transformation,[],[f26]) ).
tff(f267,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(X0,X1,X2) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0),X1),X2) ),
inference(cnf_transformation,[],[f40]) ).
tff(f271,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1) ),
inference(cnf_transformation,[],[f42]) ).
tff(f272,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__max_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,X0),X1) ),
inference(cnf_transformation,[],[f43]) ).
tff(f283,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(X0,X1,X2))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X1)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X2)))) ),
inference(cnf_transformation,[],[f53]) ).
tff(f318,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f155]) ).
tff(f322,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f155]) ).
tff(f325,plain,
! [X2: u,X0: d,X1: u] : ( s(X0,X2) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X1),s(X0,X2))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f326,plain,
! [X2: u,X0: d,X1: u] : ( s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f345,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X2))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
tff(f346,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1))
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X1,X0)) ),
inference(cnf_transformation,[],[f69]) ).
tff(f347,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Ec_2Eextreal_2Eextreal__max_2E2(X0,X1) = mono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal(mono_2Ec_2Eextreal_2Eextreal__le_2E2(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
tff(f454,plain,
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK17,sK15))
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(sK16,sK17),sK15)) ),
inference(cnf_transformation,[],[f211]) ).
tff(f455,plain,
( p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK16,sK15))
| p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(sK16,sK17),sK15)) ),
inference(cnf_transformation,[],[f211]) ).
tff(f456,plain,
( ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK16,sK15))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(sK17,sK15))
| ~ p(mono_2Ec_2Eextreal_2Eextreal__le_2E2(mono_2Ec_2Eextreal_2Eextreal__max_2E2(sK16,sK17),sK15)) ),
inference(cnf_transformation,[],[f211]) ).
tff(f457,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X1)),s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X2)))) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,X0),X1),X2))) ),
inference(definition_unfolding,[],[f283,f267]) ).
tff(f458,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),X2))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X2)) ),
inference(definition_unfolding,[],[f345,f271,f271,f271]) ).
tff(f459,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),X0)) ),
inference(definition_unfolding,[],[f346,f271,f271]) ).
tff(f460,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,X0),X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1)),X1),X0) ),
inference(definition_unfolding,[],[f347,f272,f267,f271]) ).
tff(f461,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK16),sK15))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK17),sK15))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16),sK17)),sK15)) ),
inference(definition_unfolding,[],[f456,f271,f271,f271,f272]) ).
tff(f462,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK16),sK15))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16),sK17)),sK15)) ),
inference(definition_unfolding,[],[f455,f271,f271,f272]) ).
tff(f463,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK17),sK15))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16),sK17)),sK15)) ),
inference(definition_unfolding,[],[f454,f271,f271,f272]) ).
tff(f470,definition,
sF18 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK16),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
tff(f471,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK16) = sF18,
inference(reorient_equations,[],[f470]) ).
tff(f472,definition,
sF19 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
tff(f473,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15) = sF19,
inference(reorient_equations,[],[f472]) ).
tff(f474,definition,
sF20 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK17),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
tff(f475,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK17) = sF20,
inference(reorient_equations,[],[f474]) ).
tff(f476,definition,
sF21 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK15),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
tff(f477,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK15) = sF21,
inference(reorient_equations,[],[f476]) ).
tff(f478,definition,
sF22 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
tff(f479,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16) = sF22,
inference(reorient_equations,[],[f478]) ).
tff(f480,definition,
sF23 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK17),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
tff(f481,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK17) = sF23,
inference(reorient_equations,[],[f480]) ).
tff(f482,definition,
sF24 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
tff(f483,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sF23) = sF24,
inference(reorient_equations,[],[f482]) ).
tff(f484,definition,
sF25 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
tff(f485,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15) = sF25,
inference(reorient_equations,[],[f484]) ).
tff(f486,plain,
( ~ p(sF19)
| ~ p(sF21)
| ~ p(sF25) ),
inference(definition_folding,[],[f461,f485,f483,f481,f479,f477,f475,f473,f471]) ).
tff(f487,plain,
( p(sF19)
| p(sF25) ),
inference(definition_folding,[],[f462,f485,f483,f481,f479,f473,f471]) ).
tff(f488,plain,
( p(sF21)
| p(sF25) ),
inference(definition_folding,[],[f463,f485,f483,f481,f479,f477,f475]) ).
tff(f494,definition,
( spl26_1
<=> p(sF25) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
tff(f495,plain,
( ~ p(sF25)
| spl26_1 ),
inference(avatar_component_clause,[],[f494]) ).
tff(f496,plain,
( p(sF25)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f494]) ).
tff(f498,definition,
( spl26_2
<=> p(sF21) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
tff(f499,plain,
( ~ p(sF21)
| spl26_2 ),
inference(avatar_component_clause,[],[f498]) ).
tff(f500,plain,
( p(sF21)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f498]) ).
tff(f501,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f488,f498,f494]) ).
tff(f503,definition,
( spl26_3
<=> p(sF19) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
tff(f504,plain,
( ~ p(sF19)
| spl26_3 ),
inference(avatar_component_clause,[],[f503]) ).
tff(f505,plain,
( p(sF19)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f503]) ).
tff(f506,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f487,f503,f494]) ).
tff(f507,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f486,f503,f498,f494]) ).
tff(f550,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),sF23))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),X0)) ),
inference(superposition,[],[f458,f483]) ).
tff(f551,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),sK16))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),X0)) ),
inference(superposition,[],[f458,f471]) ).
tff(f552,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),sK17))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X1),X0)) ),
inference(superposition,[],[f458,f475]) ).
tff(f554,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Ec_2Eextreal_2Eextreal__max_2E0,sK16),X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)),X0),sK16) ),
inference(superposition,[],[f460,f471]) ).
tff(f556,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)),X0),sK16) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,X0) ),
inference(forward_demodulation,[],[f554,f479]) ).
tff(f557,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK16))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) ),
inference(superposition,[],[f551,f483]) ).
tff(f564,definition,
( spl26_11
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK16)) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
tff(f565,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK16))
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f564]) ).
tff(f566,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK16))
| spl26_11 ),
inference(avatar_component_clause,[],[f564]) ).
tff(f569,definition,
( spl26_12
<=> ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
tff(f570,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) )
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f569]) ).
tff(f572,definition,
( spl26_13
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK16)) ),
introduced(definition,[new_symbols(definition,[spl26_13])],[avatar_definition]) ).
tff(f574,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK16))
| spl26_13 ),
inference(avatar_component_clause,[],[f572]) ).
tff(f575,plain,
( spl26_12
| ~ spl26_13 ),
inference(avatar_split_clause,[],[f557,f572,f569]) ).
tff(f576,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK17))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) ),
inference(superposition,[],[f552,f483]) ).
tff(f577,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) ),
inference(superposition,[],[f552,f471]) ).
tff(f580,definition,
( spl26_14
<=> ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
tff(f581,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) )
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f580]) ).
tff(f583,definition,
( spl26_15
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17)) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
tff(f584,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17))
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f585,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17))
| spl26_15 ),
inference(avatar_component_clause,[],[f583]) ).
tff(f586,plain,
( spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f577,f583,f580]) ).
tff(f588,definition,
( spl26_16
<=> ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
tff(f589,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f588]) ).
tff(f591,definition,
( spl26_17
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK17)) ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
tff(f593,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK17))
| spl26_17 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f594,plain,
( spl26_16
| ~ spl26_17 ),
inference(avatar_split_clause,[],[f576,f591,f588]) ).
tff(f600,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,sK17),X0))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X1))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1)) ),
inference(resolution,[],[f459,f552]) ).
tff(f605,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),sF23))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0)) ),
inference(superposition,[],[f459,f483]) ).
tff(f606,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),sK16))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) ),
inference(superposition,[],[f459,f471]) ).
tff(f607,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),sK17))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) ),
inference(superposition,[],[f459,f475]) ).
tff(f608,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Eextreal_2Eextreal__le_2E0,X0),X1))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X1))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) ),
inference(forward_demodulation,[],[f600,f475]) ).
tff(f620,definition,
( spl26_18
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sF23)) ),
introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).
tff(f625,plain,
( ~ p(sF19)
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15))
| ~ spl26_12 ),
inference(superposition,[],[f570,f473]) ).
tff(f626,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15))
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f625,f505]) ).
tff(f627,plain,
( p(sF25)
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f626,f485]) ).
tff(f628,plain,
( $false
| spl26_1
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f627,f495]) ).
tff(f629,plain,
( spl26_1
| ~ spl26_3
| ~ spl26_12 ),
inference(avatar_contradiction_clause,[],[f628]) ).
tff(f636,plain,
( ~ p(sF21)
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15))
| ~ spl26_14 ),
inference(superposition,[],[f581,f477]) ).
tff(f641,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK16)) ),
inference(superposition,[],[f608,f471]) ).
tff(f644,definition,
( spl26_19
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sF23)) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
tff(f645,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sF23))
| spl26_19 ),
inference(avatar_component_clause,[],[f644]) ).
tff(f648,plain,
( ~ p(sF21)
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15))
| ~ spl26_16 ),
inference(superposition,[],[f589,f477]) ).
tff(f654,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sF23))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) ),
inference(superposition,[],[f550,f471]) ).
tff(f655,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sF23))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) ),
inference(superposition,[],[f550,f475]) ).
tff(f657,definition,
( spl26_20
<=> ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
tff(f658,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f657]) ).
tff(f659,plain,
( spl26_20
| ~ spl26_19 ),
inference(avatar_split_clause,[],[f655,f644,f657]) ).
tff(f661,definition,
( spl26_21
<=> ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
tff(f662,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,X0))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f661]) ).
tff(f663,plain,
( spl26_21
| ~ spl26_18 ),
inference(avatar_split_clause,[],[f654,f620,f661]) ).
tff(f686,plain,
( ~ p(sF25)
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK15))
| ~ spl26_20 ),
inference(superposition,[],[f658,f485]) ).
tff(f687,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK15))
| ~ spl26_1
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f686,f496]) ).
tff(f688,plain,
( p(sF21)
| ~ spl26_1
| ~ spl26_20 ),
inference(forward_demodulation,[],[f687,f477]) ).
tff(f689,plain,
( $false
| ~ spl26_1
| spl26_2
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f688,f499]) ).
tff(f690,plain,
( ~ spl26_1
| spl26_2
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f689]) ).
tff(f691,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15))
| ~ spl26_2
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f636,f500]) ).
tff(f693,plain,
( p(sF19)
| ~ spl26_2
| ~ spl26_14 ),
inference(forward_demodulation,[],[f691,f473]) ).
tff(f695,plain,
( $false
| ~ spl26_2
| spl26_3
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f693,f504]) ).
tff(f696,plain,
( ~ spl26_2
| spl26_3
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f695]) ).
tff(f697,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,X0))
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,X0)) )
| spl26_11 ),
inference(forward_subsumption_resolution,[],[f641,f566]) ).
tff(f698,plain,
( spl26_14
| spl26_11 ),
inference(avatar_split_clause,[],[f697,f564,f580]) ).
tff(f704,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK16))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK16)) ),
inference(superposition,[],[f606,f471]) ).
tff(f706,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK16)),
inference(duplicate_literal_removal,[],[f704]) ).
tff(f711,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK17))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK17)) ),
inference(superposition,[],[f607,f475]) ).
tff(f712,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sK17)),
inference(duplicate_literal_removal,[],[f711]) ).
tff(f719,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sF23))
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sF23)) ),
inference(superposition,[],[f605,f483]) ).
tff(f722,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sF23)),
inference(duplicate_literal_removal,[],[f719]) ).
tff(f800,plain,
( ~ p(sF25)
| p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15))
| ~ spl26_21 ),
inference(superposition,[],[f662,f485]) ).
tff(f801,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK15))
| ~ spl26_1
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f800,f496]) ).
tff(f802,plain,
( p(sF19)
| ~ spl26_1
| ~ spl26_21 ),
inference(forward_demodulation,[],[f801,f473]) ).
tff(f803,plain,
( $false
| ~ spl26_1
| spl26_3
| ~ spl26_21 ),
inference(forward_subsumption_resolution,[],[f802,f504]) ).
tff(f804,plain,
( ~ spl26_1
| spl26_3
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f803]) ).
tff(f850,plain,
mono_2Ec_2Ebool_2ET_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK16),
inference(resolution,[],[f706,f322]) ).
tff(f853,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2ET_2E0),sK16),sK16),
inference(superposition,[],[f556,f850]) ).
tff(f1424,plain,
( ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17) )
| spl26_15 ),
inference(resolution,[],[f585,f318]) ).
tff(f1431,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK17) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2EF_2E0),sK17),sK16) )
| spl26_15 ),
inference(superposition,[],[f556,f1424]) ).
tff(f1434,plain,
( ( sF23 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2EF_2E0),sK17),sK16) )
| spl26_15 ),
inference(forward_demodulation,[],[f1431,f481]) ).
tff(f1461,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X1)) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2EF_2E0),X0),X1))) ),
inference(superposition,[],[f325,f457]) ).
tff(f1462,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0)) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2ET_2E0),X0),X1))) ),
inference(superposition,[],[f326,f457]) ).
tff(f1476,plain,
( ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(sK16)) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(sF23)) )
| spl26_15 ),
inference(superposition,[],[f1461,f1434]) ).
tff(f1613,plain,
s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(sK16)) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16))),
inference(superposition,[],[f1462,f853]) ).
tff(f1614,plain,
( ( s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(sF23)) = s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16))) )
| spl26_15 ),
inference(forward_demodulation,[],[f1613,f1476]) ).
tff(f1834,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(X0))) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2ET_2E0),X0),X1) ),
inference(superposition,[],[f248,f1462]) ).
tff(f1836,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16) = j_mono_2Etyop_2Eextreal_2Eextreal(s(tyop_2Eextreal_2Eextreal,i_mono_2Etyop_2Eextreal_2Eextreal(sF23))) )
| spl26_15 ),
inference(superposition,[],[f248,f1614]) ).
tff(f1837,plain,
( ( sF23 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16) )
| spl26_15 ),
inference(forward_demodulation,[],[f1836,f248]) ).
tff(f1839,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2ET_2E0),X0),X1) = X0 ),
inference(forward_demodulation,[],[f1834,f248]) ).
tff(f1842,plain,
sK16 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK16),
inference(superposition,[],[f853,f1839]) ).
tff(f1843,plain,
( ( sK16 = sF23 )
| spl26_15 ),
inference(forward_demodulation,[],[f1842,f1837]) ).
tff(f1849,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sF23))
| ~ spl26_11
| spl26_15 ),
inference(superposition,[],[f565,f1843]) ).
tff(f1852,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sF23))
| spl26_15 ),
inference(superposition,[],[f706,f1843]) ).
tff(f1895,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17))
| ~ spl26_14 ),
inference(resolution,[],[f581,f712]) ).
tff(f1969,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF18,sK17) )
| ~ spl26_15 ),
inference(resolution,[],[f584,f322]) ).
tff(f1974,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK17) = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29(mono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,mono_2Ec_2Ebool_2ET_2E0),sK17),sK16) )
| ~ spl26_15 ),
inference(superposition,[],[f556,f1969]) ).
tff(f1981,plain,
( ( sK17 = mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal(sF22,sK17) )
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1974,f1839]) ).
tff(f1982,plain,
( ( sK17 = sF23 )
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1981,f481]) ).
tff(f1990,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF20,sF23))
| ~ spl26_15 ),
inference(superposition,[],[f712,f1982]) ).
tff(f1999,plain,
( $false
| ~ spl26_15
| spl26_19 ),
inference(forward_subsumption_resolution,[],[f1990,f645]) ).
tff(f2000,plain,
( ~ spl26_15
| spl26_19 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
tff(f2011,plain,
( $false
| ~ spl26_11
| spl26_15
| spl26_19 ),
inference(forward_subsumption_resolution,[],[f1849,f645]) ).
tff(f2012,plain,
( ~ spl26_11
| spl26_15
| spl26_19 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
tff(f2014,plain,
( spl26_18
| spl26_15 ),
inference(avatar_split_clause,[],[f1852,f583,f620]) ).
tff(f2060,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sK15))
| ~ spl26_2
| ~ spl26_16 ),
inference(forward_subsumption_resolution,[],[f648,f500]) ).
tff(f2089,plain,
( p(sF25)
| ~ spl26_2
| ~ spl26_16 ),
inference(forward_demodulation,[],[f2060,f485]) ).
tff(f2097,plain,
( $false
| spl26_1
| ~ spl26_2
| ~ spl26_16 ),
inference(forward_subsumption_resolution,[],[f2089,f495]) ).
tff(f2098,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
tff(f2115,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sF23))
| spl26_13
| spl26_15 ),
inference(forward_demodulation,[],[f574,f1843]) ).
tff(f2143,plain,
( $false
| spl26_13
| spl26_15 ),
inference(forward_subsumption_resolution,[],[f2115,f722]) ).
tff(f2144,plain,
( spl26_13
| spl26_15 ),
inference(avatar_contradiction_clause,[],[f2143]) ).
tff(f2164,plain,
( spl26_15
| ~ spl26_14 ),
inference(avatar_split_clause,[],[f1895,f580,f583]) ).
tff(f2168,plain,
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool(sF24,sF23))
| ~ spl26_15
| spl26_17 ),
inference(forward_demodulation,[],[f593,f1982]) ).
tff(f2224,plain,
( $false
| ~ spl26_15
| spl26_17 ),
inference(forward_subsumption_resolution,[],[f2168,f722]) ).
tff(f2225,plain,
( ~ spl26_15
| spl26_17 ),
inference(avatar_contradiction_clause,[],[f2224]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f501]) ).
cnf(s2,plain,
( spl26_1
| spl26_3 ),
inference(sat_conversion,[],[f506]) ).
cnf(s3,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(sat_conversion,[],[f507]) ).
cnf(s20,plain,
( spl26_12
| ~ spl26_13 ),
inference(sat_conversion,[],[f575]) ).
cnf(s21,plain,
( spl26_14
| ~ spl26_15 ),
inference(sat_conversion,[],[f586]) ).
cnf(s22,plain,
( spl26_16
| ~ spl26_17 ),
inference(sat_conversion,[],[f594]) ).
cnf(s25,plain,
( spl26_1
| ~ spl26_3
| ~ spl26_12 ),
inference(sat_conversion,[],[f629]) ).
cnf(s28,plain,
( ~ spl26_19
| spl26_20 ),
inference(sat_conversion,[],[f659]) ).
cnf(s29,plain,
( ~ spl26_18
| spl26_21 ),
inference(sat_conversion,[],[f663]) ).
cnf(s34,plain,
( ~ spl26_1
| spl26_2
| ~ spl26_20 ),
inference(sat_conversion,[],[f690]) ).
cnf(s35,plain,
( ~ spl26_2
| spl26_3
| ~ spl26_14 ),
inference(sat_conversion,[],[f696]) ).
cnf(s36,plain,
( spl26_11
| spl26_14 ),
inference(sat_conversion,[],[f698]) ).
cnf(s39,plain,
( ~ spl26_1
| spl26_3
| ~ spl26_21 ),
inference(sat_conversion,[],[f804]) ).
cnf(s65,plain,
( ~ spl26_15
| spl26_19 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s69,plain,
( ~ spl26_11
| spl26_15
| spl26_19 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s70,plain,
( spl26_15
| spl26_18 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s77,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_16 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s83,plain,
( spl26_13
| spl26_15 ),
inference(sat_conversion,[],[f2144]) ).
cnf(s85,plain,
( ~ spl26_14
| spl26_15 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s88,plain,
( ~ spl26_15
| spl26_17 ),
inference(sat_conversion,[],[f2225]) ).
cnf(s92,plain,
spl26_1,
inference(rat,[],[s88,s83,s22,s20,s77,s25,s1,s2]) ).
cnf(s93,plain,
spl26_19,
inference(rat,[],[s36,s69,s85,s65]) ).
cnf(s95,plain,
spl26_20,
inference(rat,[],[s28,s93]) ).
cnf(s96,plain,
spl26_2,
inference(rat,[],[s34,s92,s95]) ).
cnf(s97,plain,
~ spl26_3,
inference(rat,[],[s3,s92,s96]) ).
cnf(s99,plain,
~ spl26_14,
inference(rat,[],[s35,s96,s97]) ).
cnf(s100,plain,
~ spl26_21,
inference(rat,[],[s39,s92,s97]) ).
cnf(s105,plain,
~ spl26_15,
inference(rat,[],[s21,s99]) ).
cnf(s111,plain,
~ spl26_18,
inference(rat,[],[s29,s100]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s70,s111,s105]) ).
tff(f2240,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP021_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n002.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 12:09:36 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.62/2.61 % (3427008)Detected formulas, will run a generic FOF schedule.
% 9.62/2.61 % (3427018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3180670981:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.62/2.61 % (3427019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2603894226:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.62/2.61 % (3427018)Instruction limit reached!
% 9.62/2.61 % (3427018)------------------------------
% 9.62/2.61 % (3427018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.61 % (3427018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.61 % (3427018)CaDiCaL version: 2.1.3
% 9.62/2.61 % (3427018)Termination reason: Instruction limit
% 9.62/2.61 % (3427018)Termination phase: Saturation
% 9.62/2.61 % (3427018)Time elapsed: 0.050 s
% 9.62/2.61 % (3427018)Peak memory usage: 88 MB
% 9.62/2.61 % (3427018)Instructions burned: 120 (million)
% 9.62/2.61 % (3427014)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=71135859:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.62/2.62 % (3427016)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3910068723:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.62/2.62 % (3427017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=122639589:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.62/2.62 % (3427015)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3928622877:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.62/2.62 % (3427019)Instruction limit reached!
% 9.62/2.62 % (3427019)------------------------------
% 9.62/2.62 % (3427019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427019)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427019)Termination reason: Instruction limit
% 9.62/2.62 % (3427019)Termination phase: Saturation
% 9.62/2.62 % (3427019)Time elapsed: 0.139 s
% 9.62/2.62 % (3427019)Peak memory usage: 89 MB
% 9.62/2.62 % (3427019)Instructions burned: 139 (million)
% 9.62/2.62 % (3427020)dis-21_1_sil=8000:lcm=predicate:random_seed=3188510528:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.62/2.62 % (3427017)Instruction limit reached!
% 9.62/2.62 % (3427017)------------------------------
% 9.62/2.62 % (3427017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427017)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427017)Termination reason: Instruction limit
% 9.62/2.62 % (3427017)Termination phase: Saturation
% 9.62/2.62 % (3427017)Time elapsed: 0.084 s
% 9.62/2.62 % (3427017)Peak memory usage: 89 MB
% 9.62/2.62 % (3427017)Instructions burned: 111 (million)
% 9.62/2.62 % (3427020)Instruction limit reached!
% 9.62/2.62 % (3427020)------------------------------
% 9.62/2.62 % (3427020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427020)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427020)Termination reason: Instruction limit
% 9.62/2.62 % (3427020)Termination phase: Saturation
% 9.62/2.62 % (3427020)Time elapsed: 0.100 s
% 9.62/2.62 % (3427020)Peak memory usage: 88 MB
% 9.62/2.62 % (3427020)Instructions burned: 130 (million)
% 9.62/2.62 % (3427024)lrs+10_1_sil=8000:sp=occurrence:random_seed=2925199578:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.62/2.62 % (3427024)Instruction limit reached!
% 9.62/2.62 % (3427024)------------------------------
% 9.62/2.62 % (3427024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427024)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427024)Termination reason: Instruction limit
% 9.62/2.62 % (3427024)Termination phase: Saturation
% 9.62/2.62 % (3427024)Time elapsed: 0.120 s
% 9.62/2.62 % (3427024)Peak memory usage: 89 MB
% 9.62/2.62 % (3427024)Instructions burned: 287 (million)
% 9.62/2.62 % (3427032)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1832438984:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.62/2.62 % (3427031)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1141846710:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.62/2.62 % (3427033)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1000634318:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.62/2.62 % (3427031)Instruction limit reached!
% 9.62/2.62 % (3427031)------------------------------
% 9.62/2.62 % (3427031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427031)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427031)Termination reason: Instruction limit
% 9.62/2.62 % (3427031)Termination phase: Saturation
% 9.62/2.62 % (3427031)Time elapsed: 0.149 s
% 9.62/2.62 % (3427031)Peak memory usage: 90 MB
% 9.62/2.62 % (3427031)Instructions burned: 157 (million)
% 9.62/2.62 % (3427036)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3343164228:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.62/2.62 % (3427032)Instruction limit reached!
% 9.62/2.62 % (3427032)------------------------------
% 9.62/2.62 % (3427032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427032)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427032)Termination reason: Instruction limit
% 9.62/2.62 % (3427032)Termination phase: Saturation
% 9.62/2.62 % (3427032)Time elapsed: 0.285 s
% 9.62/2.62 % (3427032)Peak memory usage: 89 MB
% 9.62/2.62 % (3427032)Instructions burned: 325 (million)
% 9.62/2.62 % (3427033)Instruction limit reached!
% 9.62/2.62 % (3427033)------------------------------
% 9.62/2.62 % (3427033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427033)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427033)Termination reason: Instruction limit
% 9.62/2.62 % (3427033)Termination phase: Saturation
% 9.62/2.62 % (3427033)Time elapsed: 0.260 s
% 9.62/2.62 % (3427033)Peak memory usage: 91 MB
% 9.62/2.62 % (3427033)Instructions burned: 248 (million)
% 9.62/2.62 % (3427036)Instruction limit reached!
% 9.62/2.62 % (3427036)------------------------------
% 9.62/2.62 % (3427036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427036)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427036)Termination reason: Instruction limit
% 9.62/2.62 % (3427036)Termination phase: Saturation
% 9.62/2.62 % (3427036)Time elapsed: 0.148 s
% 9.62/2.62 % (3427036)Peak memory usage: 89 MB
% 9.62/2.62 % (3427036)Instructions burned: 297 (million)
% 9.62/2.62 % (3427040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=529276377:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.62/2.62 % (3427043)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4191830159:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 9.62/2.62 % (3427014)First to succeed.
% 9.62/2.62 % (3427014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3427008"
% 9.62/2.62 % (3427045)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2708139686:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.62/2.62 % (3427043)Instruction limit reached!
% 9.62/2.62 % (3427043)------------------------------
% 9.62/2.62 % (3427043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427043)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427043)Termination reason: Instruction limit
% 9.62/2.62 % (3427043)Termination phase: Saturation
% 9.62/2.62 % (3427043)Time elapsed: 0.109 s
% 9.62/2.62 % (3427043)Peak memory usage: 89 MB
% 9.62/2.62 % (3427043)Instructions burned: 113 (million)
% 9.62/2.62 % (3427046)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4182763250:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 9.62/2.62 % (3427045)Instruction limit reached!
% 9.62/2.62 % (3427045)------------------------------
% 9.62/2.62 % (3427045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427045)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427045)Termination reason: Instruction limit
% 9.62/2.62 % (3427045)Termination phase: Saturation
% 9.62/2.62 % (3427045)Time elapsed: 0.104 s
% 9.62/2.62 % (3427045)Peak memory usage: 89 MB
% 9.62/2.62 % (3427045)Instructions burned: 127 (million)
% 9.62/2.62 % (3427046)Instruction limit reached!
% 9.62/2.62 % (3427046)------------------------------
% 9.62/2.62 % (3427046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.62 % (3427046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.62 % (3427046)CaDiCaL version: 2.1.3
% 9.62/2.62 % (3427046)Termination reason: Instruction limit
% 9.62/2.62 % (3427046)Termination phase: Saturation
% 9.62/2.62 % (3427046)Time elapsed: 0.104 s
% 9.62/2.62 % (3427046)Peak memory usage: 89 MB
% 9.62/2.62 % (3427046)Instructions burned: 114 (million)
% 9.62/2.62 % (3427014)Refutation found. Thanks to Tanya!
% 9.62/2.62 % SZS status Theorem for theBenchmark
% 9.62/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 11.88/2.86 % (3427014)------------------------------
% 11.88/2.86 % (3427014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.86 % (3427014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.86 % (3427014)CaDiCaL version: 2.1.3
% 11.88/2.86 % (3427014)Termination reason: Refutation
% 11.88/2.86 % (3427014)Time elapsed: 1.033 s
% 11.88/2.86 % (3427014)Peak memory usage: 132 MB
% 11.88/2.86 % (3427014)Instructions burned: 1161 (million)
% 11.88/2.86 % (3427014)------------------------------
% 11.88/2.86 % (3427014)------------------------------
% 11.88/2.86 % (3427008)Success in time 1.576 s
% 11.88/2.86 % Vampire exiting
%------------------------------------------------------------------------------