%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP009_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:27:55 AM UTC 2026
% Result : Theorem 31.51s 6.09s
% Output : Refutation 35.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 160 ( 40 unt; 0 typ; 10 def)
% Number of atoms : 478 ( 63 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 581 ( 263 ~; 263 |; 33 &)
% ( 14 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 66 ( 66 usr; 36 con; 0-4 aty)
% Number of variables : 611 ( 0 sgn 575 !; 36 ?; 611 :)
% 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_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(func_def_0,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_1,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_2,type,
s: ( d * u ) > du ).
tff(func_def_3,type,
app_2E2: ( du * du ) > u ).
tff(func_def_4,type,
combin_i_2E0: u ).
tff(func_def_5,type,
combin_k_2E0: u ).
tff(func_def_6,type,
combin_s_2E0: u ).
tff(func_def_7,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_9,type,
c_2Equotient_2E_2D_2D_3E_2E0: u ).
tff(func_def_10,type,
c_2Equotient_2E_2D_2D_3E_2E2: ( du * du ) > u ).
tff(func_def_11,type,
c_2Equotient_2E_2D_2D_3E_2E3: ( du * du * du ) > u ).
tff(func_def_12,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_13,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_14,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_15,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_16,type,
c_2Equotient_2E_3D_3D_3D_3E_2E0: u ).
tff(func_def_17,type,
c_2Equotient_2E_3D_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_18,type,
c_2Equotient_2E_3D_3D_3D_3E_2E4: ( du * du * du * du ) > u ).
tff(func_def_19,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_20,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_21,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_22,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_23,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_24,type,
c_2Equotient_2EQUOTIENT_2E0: u ).
tff(func_def_25,type,
c_2Equotient_2EQUOTIENT_2E3: ( du * du * du ) > u ).
tff(func_def_26,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_27,type,
c_2Ecombin_2EW_2E0: u ).
tff(func_def_28,type,
c_2Ecombin_2EW_2E2: ( du * du ) > u ).
tff(func_def_29,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_30,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_31,type,
c_2Equotient_2Erespects_2E0: u ).
tff(func_def_32,type,
c_2Equotient_2Erespects_2E2: ( du * du ) > u ).
tff(func_def_33,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_34,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_35,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_36,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_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_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_43,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_44,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_46,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_48,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_49,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_50,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_51,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_52,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_53,type,
sK0: d ).
tff(func_def_54,type,
sK1: d ).
tff(func_def_55,type,
sK2: d ).
tff(func_def_56,type,
sK3: d ).
tff(func_def_57,type,
sK4: u ).
tff(func_def_58,type,
sK5: u ).
tff(func_def_59,type,
sK6: u ).
tff(func_def_60,type,
sK7: u ).
tff(func_def_61,type,
sK8: u ).
tff(func_def_62,type,
sK9: u ).
tff(func_def_63,type,
sK10: u ).
tff(func_def_64,type,
sK11: u ).
tff(func_def_65,type,
sK12: ( d * d * u * u ) > u ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(f23,axiom,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X3,X1),X5))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X0,X2),X4))),s(tyop_2Emin_2Efun(X3,X1),X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b) ).
tff(f25,axiom,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] : ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X2,X0),X4))),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
tff(f28,axiom,
! [X0: d,X1: d,X2: u,X3: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f29,axiom,
! [X0: d,X1: d,X2: u,X3: u,X4: u,X5: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(tyop_2Emin_2Efun(X0,X1),X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f36,axiom,
! [X0: d,X1: d,X2: u,X3: u] : ( s(X1,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Ecombin_2EW_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2))),s(X0,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
tff(f38,axiom,
! [X0: d,X1: d,X2: u,X3: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X0,X1),X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool) ).
tff(f47,axiom,
! [X0: d,X1: d,X2: u,X3: u] : ( s(X1,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))),s(X0,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecombin_2EW__THM) ).
tff(f48,axiom,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))))
=> ! [X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
<=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
& ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EQUOTIENT__REL) ).
tff(f49,axiom,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))))
=> ! [X7: u,X8: u,X9: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9))))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__QUOTIENT) ).
tff(f50,axiom,
! [X0: d,X1: d] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2Erespects_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Ecombin_2EW_2E0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2Erespects__def) ).
tff(f51,conjecture,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))))
=> ! [X7: u,X8: u,X9: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))))
=> ! [X10: u,X11: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))))
<=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
& ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__REL__EQ__REL) ).
tff(f52,negated_conjecture,
~ ! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))))
=> ! [X7: u,X8: u,X9: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))))
=> ! [X10: u,X11: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))))
<=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
& ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
tff(f53,plain,
? [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ? [X7: u,X8: u,X9: u] :
( ? [X10: u,X11: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))))
<~> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
& ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) ) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))) ),
inference(ennf_transformation,[],[f52]) ).
tff(f59,plain,
! [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ! [X7: u,X8: u,X9: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))) ),
inference(ennf_transformation,[],[f49]) ).
tff(f60,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ! [X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
<=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
& ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(ennf_transformation,[],[f48]) ).
tff(f62,plain,
? [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ? [X7: u,X8: u,X9: u] :
( ? [X10: u,X11: u] :
( ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
| ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) != s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))) )
& ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
& ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))) ) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))) ),
inference(nnf_transformation,[],[f53]) ).
tff(f63,plain,
? [X0: d,X1: d,X2: d,X3: d,X4: u,X5: u,X6: u] :
( ? [X7: u,X8: u,X9: u] :
( ? [X10: u,X11: u] :
( ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
| ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) != s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))) )
& ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11)))))
& ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))) ) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))) ),
inference(flattening,[],[f62]) ).
tff(f64,plain,
( ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) )
& ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
& ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) = s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) ) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),sK9)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),sK5),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f63]) ).
tff(f68,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ! [X5: u,X6: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) )
& ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
& ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(nnf_transformation,[],[f60]) ).
tff(f69,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ! [X5: u,X6: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) )
& ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
& ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(flattening,[],[f68]) ).
tff(f71,plain,
p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),sK5),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))),
inference(cnf_transformation,[],[f64]) ).
tff(f72,plain,
p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),sK9))))),
inference(cnf_transformation,[],[f64]) ).
tff(f73,plain,
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) = s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f74,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f75,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f76,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f89,plain,
! [X2: d,X3: d,X0: d,X1: d,X6: u,X4: u,X5: u] : ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X2,X0),X4))),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))) ),
inference(cnf_transformation,[],[f25]) ).
tff(f90,plain,
! [X2: d,X3: d,X0: d,X1: d,X8: u,X6: u,X9: u,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))) ),
inference(cnf_transformation,[],[f59]) ).
tff(f91,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) ),
inference(cnf_transformation,[],[f28]) ).
tff(f92,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u,X5: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(tyop_2Emin_2Efun(X0,X1),X5)))) ),
inference(cnf_transformation,[],[f29]) ).
tff(f93,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(cnf_transformation,[],[f69]) ).
tff(f94,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(cnf_transformation,[],[f69]) ).
tff(f95,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(cnf_transformation,[],[f69]) ).
tff(f96,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(cnf_transformation,[],[f69]) ).
tff(f101,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X0,X1),X3)))) ),
inference(cnf_transformation,[],[f38]) ).
tff(f104,plain,
! [X2: d,X3: d,X0: d,X1: d,X4: u,X5: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X3,X1),X5))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X0,X2),X4))),s(tyop_2Emin_2Efun(X3,X1),X5))) ),
inference(cnf_transformation,[],[f23]) ).
tff(f105,plain,
! [X0: d,X1: d] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Ecombin_2EW_2E0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2Erespects_2E0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f106,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( s(X1,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),tyop_2Emin_2Efun(X0,X1)),c_2Ecombin_2EW_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2))),s(X0,X3))) ),
inference(cnf_transformation,[],[f36]) ).
tff(f107,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( s(X1,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X1)),X2),s(X0,X3))),s(X0,X3))) ),
inference(cnf_transformation,[],[f47]) ).
tff(f108,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Ecombin_2EW_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X0,X1),X3)))) ),
inference(forward_demodulation,[],[f101,f105]) ).
tff(f109,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(forward_demodulation,[],[f94,f107]) ).
tff(f110,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(forward_demodulation,[],[f95,f107]) ).
tff(f111,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(forward_demodulation,[],[f96,f107]) ).
tff(f112,plain,
! [X2: d,X3: d,X0: d,X1: d,X6: u,X4: u,X5: u] : ( s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))) ),
inference(forward_demodulation,[],[f89,f104]) ).
tff(f114,definition,
( spl13_1
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
tff(f115,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| spl13_1 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f116,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f118,definition,
( spl13_2
<=> ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) = s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) ) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
tff(f119,plain,
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) )
| spl13_2 ),
inference(avatar_component_clause,[],[f118]) ).
tff(f120,plain,
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) = s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK11))) )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f118]) ).
tff(f121,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f73,f118,f114]) ).
tff(f123,definition,
( spl13_3
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
tff(f124,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| spl13_3 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f125,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f126,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f74,f123,f114]) ).
tff(f128,definition,
( spl13_4
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10))))) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
tff(f129,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| spl13_4 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f130,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f131,plain,
( spl13_1
| spl13_4 ),
inference(avatar_split_clause,[],[f75,f128,f114]) ).
tff(f132,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f76,f128,f123,f118,f114]) ).
tff(f133,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3)))) ),
inference(forward_demodulation,[],[f108,f106]) ).
tff(f134,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6)))))
| ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))) ),
inference(forward_demodulation,[],[f111,f107]) ).
tff(f377,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X4)))) ),
inference(superposition,[],[f92,f107]) ).
tff(f378,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(superposition,[],[f134,f92]) ).
tff(f379,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(superposition,[],[f110,f92]) ).
tff(f380,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(superposition,[],[f109,f92]) ).
tff(f381,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(superposition,[],[f93,f92]) ).
tff(f382,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) ) ),
inference(forward_demodulation,[],[f381,f91]) ).
tff(f383,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f380,f133]) ).
tff(f384,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f379,f133]) ).
tff(f385,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f378,f133]) ).
tff(f386,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X4)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))) ),
inference(forward_demodulation,[],[f377,f133]) ).
tff(f387,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f383,f91]) ).
tff(f388,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f384,f91]) ).
tff(f389,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ecombin_2EW_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f385,f91]) ).
tff(f390,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X4)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))) ),
inference(forward_demodulation,[],[f386,f91]) ).
tff(f391,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))) ),
inference(forward_demodulation,[],[f387,f91]) ).
tff(f392,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))) ),
inference(forward_demodulation,[],[f388,f91]) ).
tff(f393,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f389,f133]) ).
tff(f394,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))) ),
inference(forward_demodulation,[],[f393,f91]) ).
tff(f395,plain,
! [X2: d,X3: u,X0: d,X1: u,X8: u,X6: d,X7: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) != s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) ) ),
inference(forward_demodulation,[],[f394,f91]) ).
tff(f396,plain,
! [X2: u,X3: u,X10: u,X0: d,X11: u,X1: d,X8: u,X6: d,X9: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X6),X7),s(tyop_2Emin_2Efun(X6,X1),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11))))) ),
inference(resolution,[],[f392,f90]) ).
tff(f419,plain,
! [X2: u,X3: u,X10: u,X0: d,X11: u,X1: d,X8: u,X6: d,X9: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X5),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X6),X7),s(tyop_2Emin_2Efun(X6,X1),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11))))) ),
inference(resolution,[],[f391,f90]) ).
tff(f575,plain,
! [X2: u,X3: u,X10: u,X0: d,X11: u,X1: d,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X5),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ( s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9))),s(tyop_2Emin_2Efun(X0,X1),X5))) != s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9))),s(tyop_2Emin_2Efun(X0,X1),X4))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X7,X1),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(resolution,[],[f395,f90]) ).
tff(f606,plain,
! [X2: u,X3: u,X10: u,X0: d,X11: u,X1: d,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ( s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9))),s(tyop_2Emin_2Efun(X0,X1),X5))) != s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X0,X1),X4))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X5),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X7,X1),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(forward_demodulation,[],[f575,f112]) ).
tff(f607,plain,
! [X2: u,X3: u,X10: u,X0: d,X11: u,X1: d,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ( s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X0,X1),X4))) != s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X0,X1),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X5),s(tyop_2Emin_2Efun(X0,X1),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X7),X9),s(tyop_2Emin_2Efun(X7,X1),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(forward_demodulation,[],[f606,f112]) ).
tff(f1069,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ spl13_3 ),
inference(superposition,[],[f125,f390]) ).
tff(f1070,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ spl13_4 ),
inference(superposition,[],[f130,f390]) ).
tff(f1407,plain,
! [X2: d,X3: u,X10: u,X0: d,X11: u,X1: u,X8: u,X6: d,X9: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X6),X7),s(tyop_2Emin_2Efun(X6,X2),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11))))) ),
inference(superposition,[],[f396,f390]) ).
tff(f1440,plain,
! [X2: d,X3: u,X10: u,X0: d,X11: u,X1: u,X8: u,X6: d,X9: d,X7: u,X4: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X0,X2),X4)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X6),X7),s(tyop_2Emin_2Efun(X6,X2),X8)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11))))) ),
inference(superposition,[],[f419,f390]) ).
tff(f1477,plain,
! [X2: d,X3: u,X10: u,X0: d,X11: u,X1: u,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ( s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(resolution,[],[f382,f90]) ).
tff(f1520,plain,
! [X2: d,X3: u,X10: u,X0: d,X11: u,X1: u,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ( s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X5))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(forward_demodulation,[],[f1477,f112]) ).
tff(f1521,plain,
! [X2: d,X3: u,X10: u,X0: d,X11: u,X1: u,X8: u,X6: d,X9: u,X7: d,X4: u,X5: u] :
( ( s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X5))) = s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X4))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8))))) ),
inference(forward_demodulation,[],[f1520,f112]) ).
tff(f2976,plain,
( ! [X2: u,X3: u,X0: u,X1: u,X4: u] :
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),X0))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK2),X4),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| spl13_2 ),
inference(superposition,[],[f119,f1521]) ).
tff(f3026,plain,
( ! [X2: u,X3: u,X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X2)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK0,sK2),X3),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| spl13_2 ),
inference(equality_resolution,[],[f2976]) ).
tff(f3027,plain,
( ! [X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| ~ spl13_1
| spl13_2 ),
inference(resolution,[],[f3026,f116]) ).
tff(f3049,definition,
( spl13_8
<=> ! [X1: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) ),
introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).
tff(f3050,plain,
( ! [X1: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6)))))
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f3049]) ).
tff(f3052,definition,
( spl13_9
<=> ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0))))) ),
introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).
tff(f3053,plain,
( ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0)))))
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f3052]) ).
tff(f3054,plain,
( spl13_8
| spl13_9
| ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f3027,f118,f114,f3052,f3049]) ).
tff(f3055,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| spl13_4 ),
inference(forward_demodulation,[],[f129,f390]) ).
tff(f3315,plain,
( ! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),X0)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,X1),X2),s(tyop_2Emin_2Efun(X1,sK1),X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,X4),X5),s(tyop_2Emin_2Efun(X4,sK0),X6))))) )
| spl13_4 ),
inference(resolution,[],[f1407,f3055]) ).
tff(f3360,definition,
( spl13_10
<=> ! [X6: u,X4: d,X5: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,X4),X5),s(tyop_2Emin_2Efun(X4,sK0),X6))))) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
tff(f3361,plain,
( ! [X6: u,X4: d,X5: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,X4),X5),s(tyop_2Emin_2Efun(X4,sK0),X6)))))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f3360]) ).
tff(f3363,definition,
( spl13_11
<=> ! [X2: u,X1: d,X3: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,X1),X2),s(tyop_2Emin_2Efun(X1,sK1),X3))))) ),
introduced(definition,[new_symbols(definition,[spl13_11])],[avatar_definition]) ).
tff(f3364,plain,
( ! [X2: u,X3: u,X1: d] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,X1),X2),s(tyop_2Emin_2Efun(X1,sK1),X3)))))
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f3363]) ).
tff(f3366,definition,
( spl13_12
<=> ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),X0))))) ),
introduced(definition,[new_symbols(definition,[spl13_12])],[avatar_definition]) ).
tff(f3367,plain,
( ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),X0)))))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f3366]) ).
tff(f3368,plain,
( spl13_10
| spl13_11
| spl13_12
| spl13_4 ),
inference(avatar_split_clause,[],[f3315,f128,f3366,f3363,f3360]) ).
tff(f3369,plain,
( $false
| ~ spl13_1
| ~ spl13_12 ),
inference(resolution,[],[f3367,f116]) ).
tff(f3381,plain,
( ~ spl13_1
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
tff(f3382,plain,
( $false
| ~ spl13_10 ),
inference(resolution,[],[f3361,f71]) ).
tff(f3403,plain,
~ spl13_10,
inference(avatar_contradiction_clause,[],[f3382]) ).
tff(f3404,plain,
( $false
| ~ spl13_11 ),
inference(resolution,[],[f3364,f72]) ).
tff(f3425,plain,
~ spl13_11,
inference(avatar_contradiction_clause,[],[f3404]) ).
tff(f3426,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| spl13_3 ),
inference(forward_demodulation,[],[f124,f390]) ).
tff(f3444,plain,
( ! [X2: u,X3: u,X0: u,X1: d,X6: u,X4: d,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,X1),X2),s(tyop_2Emin_2Efun(X1,sK1),X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,X4),X5),s(tyop_2Emin_2Efun(X4,sK0),X6))))) )
| spl13_3 ),
inference(resolution,[],[f1440,f3426]) ).
tff(f3490,definition,
( spl13_14
<=> ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11))))) ),
introduced(definition,[new_symbols(definition,[spl13_14])],[avatar_definition]) ).
tff(f3491,plain,
( ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f3490]) ).
tff(f3493,plain,
( spl13_10
| spl13_11
| spl13_14
| spl13_3 ),
inference(avatar_split_clause,[],[f3444,f123,f3490,f3363,f3360]) ).
tff(f3494,plain,
( $false
| ~ spl13_1
| ~ spl13_14 ),
inference(resolution,[],[f3491,f116]) ).
tff(f3507,plain,
( ~ spl13_1
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f3494]) ).
tff(f5701,plain,
( ! [X2: u,X3: u,X0: u,X1: u,X4: u] :
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),X0))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(sK0,sK1),X0)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK2),X4),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| ~ spl13_2 ),
inference(superposition,[],[f607,f120]) ).
tff(f5814,plain,
( ! [X2: u,X3: u,X0: u,X1: u,X4: u] :
( ( s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),sK10))) != s(tyop_2Emin_2Efun(sK2,sK3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK2,sK0),sK6),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK0,sK1),X0))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(sK0,sK1),X0)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK0,sK1),X0),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK2),X4),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| ~ spl13_2 ),
inference(forward_demodulation,[],[f5701,f390]) ).
tff(f6126,plain,
( ! [X2: u,X3: u,X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,sK1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X2)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK0,sK2),X3),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| ~ spl13_2 ),
inference(equality_resolution,[],[f5814]) ).
tff(f6189,plain,
( ! [X2: u,X3: u,X0: u,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X2)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK0,sK2),X3),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| ~ spl13_2 ),
inference(forward_demodulation,[],[f6126,f390]) ).
tff(f6192,plain,
( ! [X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK11),s(tyop_2Emin_2Efun(sK0,sK1),sK11)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| spl13_1
| ~ spl13_2 ),
inference(resolution,[],[f6189,f115]) ).
tff(f6219,plain,
( ! [X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK0,sK1),sK10),s(tyop_2Emin_2Efun(sK0,sK1),sK10)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f6192,f1069]) ).
tff(f6220,plain,
( ! [X0: u,X1: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool)),sK7),s(tyop_2Emin_2Efun(sK1,sK3),sK8),s(tyop_2Emin_2Efun(sK3,sK1),X0)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK4),s(tyop_2Emin_2Efun(sK0,sK2),X1),s(tyop_2Emin_2Efun(sK2,sK0),sK6))))) )
| spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f6219,f1070]) ).
tff(f6221,plain,
( spl13_8
| spl13_9
| spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f6220,f128,f123,f118,f114,f3052,f3049]) ).
tff(f6222,plain,
( $false
| ~ spl13_8 ),
inference(resolution,[],[f3050,f71]) ).
tff(f6235,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f6222]) ).
tff(f6236,plain,
( $false
| ~ spl13_9 ),
inference(resolution,[],[f3053,f72]) ).
tff(f6249,plain,
~ spl13_9,
inference(avatar_contradiction_clause,[],[f6236]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f121]) ).
cnf(s2,plain,
( spl13_1
| spl13_3 ),
inference(sat_conversion,[],[f126]) ).
cnf(s3,plain,
( spl13_1
| spl13_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s4,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(sat_conversion,[],[f132]) ).
cnf(s17,plain,
( ~ spl13_1
| spl13_2
| spl13_8
| spl13_9 ),
inference(sat_conversion,[],[f3054]) ).
cnf(s18,plain,
( spl13_4
| spl13_10
| spl13_11
| spl13_12 ),
inference(sat_conversion,[],[f3368]) ).
cnf(s19,plain,
( ~ spl13_1
| ~ spl13_12 ),
inference(sat_conversion,[],[f3381]) ).
cnf(s20,plain,
~ spl13_10,
inference(sat_conversion,[],[f3403]) ).
cnf(s21,plain,
~ spl13_11,
inference(sat_conversion,[],[f3425]) ).
cnf(s24,plain,
( spl13_3
| spl13_10
| spl13_11
| spl13_14 ),
inference(sat_conversion,[],[f3493]) ).
cnf(s25,plain,
( ~ spl13_1
| ~ spl13_14 ),
inference(sat_conversion,[],[f3507]) ).
cnf(s48,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| spl13_8
| spl13_9 ),
inference(sat_conversion,[],[f6221]) ).
cnf(s49,plain,
~ spl13_8,
inference(sat_conversion,[],[f6235]) ).
cnf(s50,plain,
~ spl13_9,
inference(sat_conversion,[],[f6249]) ).
cnf(s51,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(rat,[],[s48,s50,s49]) ).
cnf(s56,plain,
( spl13_4
| spl13_12 ),
inference(rat,[],[s18,s21,s20]) ).
cnf(s57,plain,
( ~ spl13_1
| spl13_2 ),
inference(rat,[],[s17,s50,s49]) ).
cnf(s58,plain,
spl13_1,
inference(rat,[],[s51,s1,s2,s3]) ).
cnf(s59,plain,
~ spl13_14,
inference(rat,[],[s25,s58]) ).
cnf(s60,plain,
~ spl13_12,
inference(rat,[],[s19,s58]) ).
cnf(s61,plain,
spl13_2,
inference(rat,[],[s57,s58]) ).
cnf(s62,plain,
spl13_3,
inference(rat,[],[s24,s20,s21,s59]) ).
cnf(s64,plain,
spl13_4,
inference(rat,[],[s56,s60]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s4,s64,s58,s62,s61]) ).
tff(f6250,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP009_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 11:56:40 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.51/4.09 % (394524)Detected formulas, will run a generic FOF schedule.
% 20.51/4.09 % (394535)dis-21_1_sil=8000:lcm=predicate:random_seed=2382310406: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)
% 20.51/4.09 % (394530)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=3956075744:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.51/4.09 % (394531)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=3450833878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.51/4.09 % (394529)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=259833862:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.51/4.09 % (394533)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1113552807:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.51/4.09 % (394532)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3438696290:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.51/4.09 % (394535)Instruction limit reached!
% 20.51/4.09 % (394535)------------------------------
% 20.51/4.09 % (394535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.51/4.09 % (394535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/4.09 % (394535)CaDiCaL version: 2.1.3
% 20.51/4.09 % (394535)Termination reason: Instruction limit
% 20.51/4.09 % (394535)Termination phase: Saturation
% 20.51/4.09 % (394535)Time elapsed: 0.057 s
% 20.51/4.09 % (394535)Peak memory usage: 89 MB
% 20.51/4.09 % (394535)Instructions burned: 129 (million)
% 20.51/4.09 % (394532)Refutation not found, incomplete strategy
% 20.51/4.09 % (394532)------------------------------
% 20.51/4.09 % (394532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.51/4.09 % (394532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/4.09 % (394532)CaDiCaL version: 2.1.3
% 20.51/4.09 % (394532)Termination reason: Refutation not found, incomplete strategy
% 20.51/4.09 % (394532)Time elapsed: 0.013 s
% 20.51/4.09 % (394532)Peak memory usage: 88 MB
% 20.51/4.09 % (394532)Instructions burned: 13 (million)
% 20.51/4.09 % (394534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1784410918:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.51/4.09 % (394533)Instruction limit reached!
% 20.51/4.09 % (394533)------------------------------
% 20.51/4.09 % (394533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.51/4.09 % (394533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/4.09 % (394533)CaDiCaL version: 2.1.3
% 20.51/4.09 % (394533)Termination reason: Instruction limit
% 20.51/4.09 % (394533)Termination phase: Saturation
% 20.51/4.09 % (394533)Time elapsed: 0.106 s
% 20.51/4.09 % (394533)Peak memory usage: 89 MB
% 20.51/4.09 % (394533)Instructions burned: 120 (million)
% 20.51/4.09 % (394534)Instruction limit reached!
% 20.51/4.09 % (394534)------------------------------
% 20.51/4.09 % (394534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.51/4.09 % (394534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/4.09 % (394534)CaDiCaL version: 2.1.3
% 20.51/4.09 % (394534)Termination reason: Instruction limit
% 20.51/4.09 % (394534)Termination phase: Saturation
% 20.51/4.09 % (394534)Time elapsed: 0.131 s
% 20.51/4.09 % (394534)Peak memory usage: 90 MB
% 20.51/4.09 % (394534)Instructions burned: 140 (million)
% 20.51/4.09 % (394542)lrs+10_1_sil=8000:sp=occurrence:random_seed=1589987552:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 20.51/4.09 % (394542)Instruction limit reached!
% 20.51/4.09 % (394542)------------------------------
% 20.51/4.09 % (394542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.51/4.09 % (394542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.51/4.09 % (394542)CaDiCaL version: 2.1.3
% 20.51/4.09 % (394542)Termination reason: Instruction limit
% 20.51/4.09 % (394542)Termination phase: Saturation
% 20.51/4.09 % (394542)Time elapsed: 0.121 s
% 20.51/4.09 % (394542)Peak memory usage: 90 MB
% 20.51/4.09 % (394542)Instructions burned: 288 (million)
% 20.51/4.09 % (394544)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1881024964:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 29.80/5.44 % (394532)------------------------------
% 29.80/5.44 % (394532)------------------------------
% 29.80/5.44 % (394545)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3952268376:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 29.80/5.44 % (394544)Instruction limit reached!
% 29.80/5.44 % (394544)------------------------------
% 29.80/5.44 % (394544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394544)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394544)Termination reason: Instruction limit
% 29.80/5.44 % (394544)Termination phase: Saturation
% 29.80/5.44 % (394544)Time elapsed: 0.151 s
% 29.80/5.44 % (394544)Peak memory usage: 90 MB
% 29.80/5.44 % (394544)Instructions burned: 158 (million)
% 29.80/5.44 % (394547)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=2561905646:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 29.80/5.44 % (394549)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2547967433:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 29.80/5.44 % (394547)Instruction limit reached!
% 29.80/5.44 % (394547)------------------------------
% 29.80/5.44 % (394547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394547)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394547)Termination reason: Instruction limit
% 29.80/5.44 % (394547)Termination phase: Saturation
% 29.80/5.44 % (394547)Time elapsed: 0.114 s
% 29.80/5.44 % (394547)Peak memory usage: 91 MB
% 29.80/5.44 % (394547)Instructions burned: 249 (million)
% 29.80/5.44 % (394545)Instruction limit reached!
% 29.80/5.44 % (394545)------------------------------
% 29.80/5.44 % (394545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394545)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394545)Termination reason: Instruction limit
% 29.80/5.44 % (394545)Termination phase: Saturation
% 29.80/5.44 % (394545)Time elapsed: 0.303 s
% 29.80/5.44 % (394545)Peak memory usage: 91 MB
% 29.80/5.44 % (394545)Instructions burned: 325 (million)
% 29.80/5.44 % (394549)Refutation not found, incomplete strategy
% 29.80/5.44 % (394549)------------------------------
% 29.80/5.44 % (394549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394549)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394549)Termination reason: Refutation not found, incomplete strategy
% 29.80/5.44 % (394549)Time elapsed: 0.047 s
% 29.80/5.44 % (394549)Peak memory usage: 89 MB
% 29.80/5.44 % (394549)Instructions burned: 53 (million)
% 29.80/5.44 % (394551)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2968133205:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 29.80/5.44 % (394554)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2023534750:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 29.80/5.44 % (394554)Instruction limit reached!
% 29.80/5.44 % (394554)------------------------------
% 29.80/5.44 % (394554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394554)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394554)Termination reason: Instruction limit
% 29.80/5.44 % (394554)Termination phase: Saturation
% 29.80/5.44 % (394554)Time elapsed: 0.052 s
% 29.80/5.44 % (394554)Peak memory usage: 89 MB
% 29.80/5.44 % (394554)Instructions burned: 115 (million)
% 29.80/5.44 % (394555)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3724785152:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 29.80/5.44 % (394555)Instruction limit reached!
% 29.80/5.44 % (394555)------------------------------
% 29.80/5.44 % (394555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.80/5.44 % (394555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.80/5.44 % (394555)CaDiCaL version: 2.1.3
% 29.80/5.44 % (394555)Termination reason: Instruction limit
% 29.80/5.44 % (394555)Termination phase: Saturation
% 29.80/5.44 % (394555)Time elapsed: 0.099 s
% 31.51/6.09 % (394555)Peak memory usage: 88 MB
% 31.51/6.09 % (394555)Instructions burned: 128 (million)
% 31.51/6.09 % (394549)------------------------------
% 31.51/6.09 % (394549)------------------------------
% 31.51/6.09 % (394558)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1759858033:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 31.51/6.09 % (394558)Instruction limit reached!
% 31.51/6.09 % (394558)------------------------------
% 31.51/6.09 % (394558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394558)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394558)Termination reason: Instruction limit
% 31.51/6.09 % (394558)Termination phase: Saturation
% 31.51/6.09 % (394558)Time elapsed: 0.049 s
% 31.51/6.09 % (394558)Peak memory usage: 88 MB
% 31.51/6.09 % (394558)Instructions burned: 116 (million)
% 31.51/6.09 % (394560)lrs+10_1_sil=8000:sp=occurrence:random_seed=3421119080:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 31.51/6.09 % (394561)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3789815433:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 31.51/6.09 % (394563)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3302684866:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 31.51/6.09 % (394561)Instruction limit reached!
% 31.51/6.09 % (394561)------------------------------
% 31.51/6.09 % (394561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394561)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394561)Termination reason: Instruction limit
% 31.51/6.09 % (394561)Termination phase: Saturation
% 31.51/6.09 % (394561)Time elapsed: 0.365 s
% 31.51/6.09 % (394561)Peak memory usage: 92 MB
% 31.51/6.09 % (394561)Instructions burned: 437 (million)
% 31.51/6.09 % (394560)Instruction limit reached!
% 31.51/6.09 % (394560)------------------------------
% 31.51/6.09 % (394560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394560)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394560)Termination reason: Instruction limit
% 31.51/6.09 % (394560)Termination phase: Saturation
% 31.51/6.09 % (394560)Time elapsed: 0.659 s
% 31.51/6.09 % (394560)Peak memory usage: 91 MB
% 31.51/6.09 % (394560)Instructions burned: 908 (million)
% 31.51/6.09 % (394567)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=380645746:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 31.51/6.09 % (394567)Instruction limit reached!
% 31.51/6.09 % (394567)------------------------------
% 31.51/6.09 % (394567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394567)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394567)Termination reason: Instruction limit
% 31.51/6.09 % (394567)Termination phase: Saturation
% 31.51/6.09 % (394567)Time elapsed: 0.113 s
% 31.51/6.09 % (394567)Peak memory usage: 90 MB
% 31.51/6.09 % (394567)Instructions burned: 134 (million)
% 31.51/6.09 % (394568)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4104245509:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 31.51/6.09 % (394568)Refutation not found, incomplete strategy
% 31.51/6.09 % (394568)------------------------------
% 31.51/6.09 % (394568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394568)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394568)Termination reason: Refutation not found, incomplete strategy
% 31.51/6.09 % (394568)Time elapsed: 0.010 s
% 31.51/6.09 % (394568)Peak memory usage: 88 MB
% 31.51/6.09 % (394568)Instructions burned: 11 (million)
% 31.51/6.09 % (394570)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1800242245:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 31.51/6.09 % (394551)Instruction limit reached!
% 31.51/6.09 % (394551)------------------------------
% 31.51/6.09 % (394551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394551)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394551)Termination reason: Instruction limit
% 31.51/6.09 % (394551)Termination phase: Saturation
% 31.51/6.09 % (394551)Time elapsed: 1.684 s
% 31.51/6.09 % (394551)Peak memory usage: 142 MB
% 31.51/6.09 % (394551)Instructions burned: 2351 (million)
% 31.51/6.09 % (394568)------------------------------
% 31.51/6.09 % (394568)------------------------------
% 31.51/6.09 % (394573)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1331780689:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 31.51/6.09 % (394573)Instruction limit reached!
% 31.51/6.09 % (394573)------------------------------
% 31.51/6.09 % (394573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394573)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394573)Termination reason: Instruction limit
% 31.51/6.09 % (394573)Termination phase: Saturation
% 31.51/6.09 % (394573)Time elapsed: 0.062 s
% 31.51/6.09 % (394573)Peak memory usage: 90 MB
% 31.51/6.09 % (394573)Instructions burned: 126 (million)
% 31.51/6.09 % (394575)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4115499819:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 31.51/6.09 % (394576)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=895385826:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 31.51/6.09 % (394576)Instruction limit reached!
% 31.51/6.09 % (394576)------------------------------
% 31.51/6.09 % (394576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394576)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394576)Termination reason: Instruction limit
% 31.51/6.09 % (394576)Termination phase: Saturation
% 31.51/6.09 % (394576)Time elapsed: 0.062 s
% 31.51/6.09 % (394576)Peak memory usage: 89 MB
% 31.51/6.09 % (394576)Instructions burned: 143 (million)
% 31.51/6.09 % (394575)Instruction limit reached!
% 31.51/6.09 % (394575)------------------------------
% 31.51/6.09 % (394575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394575)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394575)Termination reason: Instruction limit
% 31.51/6.09 % (394575)Termination phase: Saturation
% 31.51/6.09 % (394575)Time elapsed: 0.129 s
% 31.51/6.09 % (394575)Peak memory usage: 90 MB
% 31.51/6.09 % (394575)Instructions burned: 134 (million)
% 31.51/6.09 % (394579)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=446066851:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 31.51/6.09 % (394579)Refutation not found, incomplete strategy
% 31.51/6.09 % (394579)------------------------------
% 31.51/6.09 % (394579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394579)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394579)Termination reason: Refutation not found, incomplete strategy
% 31.51/6.09 % (394579)Time elapsed: 0.007 s
% 31.51/6.09 % (394579)Peak memory usage: 88 MB
% 31.51/6.09 % (394579)Instructions burned: 12 (million)
% 31.51/6.09 % (394580)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2227778052:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 31.51/6.09 % (394579)------------------------------
% 31.51/6.09 % (394579)------------------------------
% 31.51/6.09 % (394583)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=853073179:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 31.51/6.09 % (394583)Instruction limit reached!
% 31.51/6.09 % (394583)------------------------------
% 31.51/6.09 % (394583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.51/6.09 % (394583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.51/6.09 % (394583)CaDiCaL version: 2.1.3
% 31.51/6.09 % (394583)Termination reason: Instruction limit
% 31.51/6.09 % (394583)Termination phase: Saturation
% 31.51/6.09 % (394583)Time elapsed: 0.074 s
% 31.51/6.09 % (394583)Peak memory usage: 90 MB
% 31.51/6.09 % (394583)Instructions burned: 151 (million)
% 31.51/6.09 % (394563)First to succeed.
% 31.51/6.09 % (394563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-394524"
% 31.51/6.09 % (394585)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=615403308:i=14155:bd=all_2957 on theBenchmark for (2957ds/14155Mi)
% 31.51/6.09 % (394563)Refutation found. Thanks to Tanya!
% 31.51/6.09 % SZS status Theorem for theBenchmark
% 31.51/6.09 % SZS output start Proof for theBenchmark
% See solution above
% 35.12/6.31 % (394563)------------------------------
% 35.12/6.31 % (394563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/6.31 % (394563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/6.31 % (394563)CaDiCaL version: 2.1.3
% 35.12/6.31 % (394563)Termination reason: Refutation
% 35.12/6.31 % (394563)Time elapsed: 2.489 s
% 35.12/6.31 % (394563)Peak memory usage: 140 MB
% 35.12/6.31 % (394563)Instructions burned: 2664 (million)
% 35.12/6.31 % (394563)------------------------------
% 35.12/6.31 % (394563)------------------------------
% 35.12/6.31 % (394524)Success in time 4.843 s
% 35.12/6.31 % Vampire exiting
%------------------------------------------------------------------------------