TSTP Solution File: ITP006^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP006^1 : TPTP v7.5.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% DateTime : Sun Mar 21 13:23:33 EDT 2021
% Result : Timeout 300.07s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP006^1 : TPTP v7.5.0. Bugfixed v7.5.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Mar 18 20:52:43 EDT 2021
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 0.39/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee758>, <kernel.Type object at 0x27ee878>) of role type named u
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring u:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2b7ab45a2a28>, <kernel.Type object at 0x27ee248>) of role type named d
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring d:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27eeb48>, <kernel.Type object at 0x27eed40>) of role type named du
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring du:Type
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee878>, <kernel.Constant object at 0x27ee098>) of role type named tyop_2Emin_2Ebool
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring tyop_2Emin_2Ebool:d
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27eec20>, <kernel.DependentProduct object at 0x27eeb48>) of role type named tyop_2Emin_2Efun
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring tyop_2Emin_2Efun:(d->(d->d))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee098>, <kernel.DependentProduct object at 0x27cc998>) of role type named s
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring s:(d->(u->du))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee878>, <kernel.DependentProduct object at 0x27ccc20>) of role type named app_2E2
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring app_2E2:(du->(du->u))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee098>, <kernel.Constant object at 0x27ccab8>) of role type named combin_i_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring combin_i_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ee878>, <kernel.Constant object at 0x27ccea8>) of role type named combin_k_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring combin_k_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27eeb48>, <kernel.Constant object at 0x27ccea8>) of role type named combin_s_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring combin_s_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27eeb48>, <kernel.Constant object at 0x27ccea8>) of role type named c_2Ebool_2E_21_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_21_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cccb0>, <kernel.DependentProduct object at 0x2950f80>) of role type named c_2Ebool_2E_21_2E1
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_21_2E1:(du->u)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cc998>, <kernel.Constant object at 0x27ccb48>) of role type named c_2Ebool_2E_2F_5C_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_2F_5C_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ccea8>, <kernel.DependentProduct object at 0x27cccb0>) of role type named c_2Ebool_2E_2F_5C_2E2
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_2F_5C_2E2:(du->(du->u))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ccc20>, <kernel.Constant object at 0x27cccb0>) of role type named c_2Emin_2E_3D_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Emin_2E_3D_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cc998>, <kernel.DependentProduct object at 0x2950fc8>) of role type named c_2Emin_2E_3D_2E2
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Emin_2E_3D_2E2:(du->(du->u))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ccea8>, <kernel.Constant object at 0x2950f38>) of role type named c_2Emin_2E_3D_3D_3E_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Emin_2E_3D_3D_3E_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cc998>, <kernel.DependentProduct object at 0x2950ea8>) of role type named c_2Emin_2E_3D_3D_3E_2E2
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Emin_2E_3D_3D_3E_2E2:(du->(du->u))
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27ccea8>, <kernel.Constant object at 0x2950ef0>) of role type named c_2Ebool_2E_3F_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_3F_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cccb0>, <kernel.DependentProduct object at 0x2950f38>) of role type named c_2Ebool_2E_3F_2E1
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2E_3F_2E1:(du->u)
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x27cccb0>, <kernel.Constant object at 0x2950f38>) of role type named c_2Ebool_2EF_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2Ebool_2EF_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2950f80>, <kernel.Constant object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS_2E0
% 0.39/0.61 Using role type
% 0.39/0.61 Declaring c_2EquantHeuristics_2EGUESS__EXISTS_2E0:u
% 0.39/0.61 FOF formula (<kernel.Constant object at 0x2950e60>, <kernel.DependentProduct object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__EXISTS_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950ea8>, <kernel.Constant object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950f80>, <kernel.DependentProduct object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950d88>, <kernel.Constant object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950ea8>, <kernel.DependentProduct object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950bd8>, <kernel.Constant object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__FORALL_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950d88>, <kernel.DependentProduct object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__FORALL_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950b48>, <kernel.Constant object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950bd8>, <kernel.DependentProduct object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.Constant object at 0x2950e18>) of role type named c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950b48>, <kernel.DependentProduct object at 0x2950f38>) of role type named c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950a28>, <kernel.Constant object at 0x2950f38>) of role type named c_2Ebool_2ET_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2Ebool_2ET_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.Constant object at 0x2950f38>) of role type named c_2Ebool_2E_5C_2F_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2Ebool_2E_5C_2F_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950b48>, <kernel.DependentProduct object at 0x2950998>) of role type named c_2Ebool_2E_5C_2F_2E2
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2Ebool_2E_5C_2F_2E2:(du->(du->u))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950908>, <kernel.Constant object at 0x2950998>) of role type named c_2Ebool_2E_7E_2E0
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2Ebool_2E_7E_2E0:u
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.DependentProduct object at 0x2950a28>) of role type named c_2Ebool_2E_7E_2E1
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring c_2Ebool_2E_7E_2E1:(du->u)
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x29508c0>, <kernel.DependentProduct object at 0x2950f38>) of role type named mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:((Prop->Prop)->(Prop->Prop))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2950908>, <kernel.DependentProduct object at 0x2950b48>) of role type named mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->(Prop->Prop))->(Prop->(Prop->Prop)))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.DependentProduct object at 0x2950878>) of role type named mono_2Ec_2Ebool_2E_2F_5C
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Ebool_2E_2F_5C:(Prop->(Prop->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x29508c0>, <kernel.DependentProduct object at 0x2950680>) of role type named mono_2Ec_2Emin_2E_3D_3D_3E
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Emin_2E_3D_3D_3E:(Prop->(Prop->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950908>, <kernel.Sort object at 0x2b7abc07b638>) of role type named mono_2Ec_2Ebool_2EF
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Ebool_2EF:Prop
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950758>, <kernel.Sort object at 0x2b7abc07b638>) of role type named mono_2Ec_2Ebool_2ET
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Ebool_2ET:Prop
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.DependentProduct object at 0x2950638>) of role type named mono_2Ec_2Ebool_2E_5C_2F
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Ebool_2E_5C_2F:(Prop->(Prop->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x29506c8>, <kernel.DependentProduct object at 0x2950560>) of role type named mono_2Ec_2Ebool_2E_7E
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring mono_2Ec_2Ebool_2E_7E:(Prop->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950758>, <kernel.DependentProduct object at 0x29504d0>) of role type named i_mono_2Etyop_2Emin_2Ebool
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring i_mono_2Etyop_2Emin_2Ebool:(Prop->u)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950ab8>, <kernel.DependentProduct object at 0x2950440>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->Prop)->u)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x29506c8>, <kernel.DependentProduct object at 0x2950488>) of role type named i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:((Prop->(Prop->Prop))->u)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950758>, <kernel.DependentProduct object at 0x2950638>) of role type named j_mono_2Etyop_2Emin_2Ebool
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring j_mono_2Etyop_2Emin_2Ebool:(du->Prop)
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950518>, <kernel.DependentProduct object at 0x29503b0>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(du->(Prop->Prop))
% 0.39/0.63 FOF formula (<kernel.Constant object at 0x2950488>, <kernel.DependentProduct object at 0x29506c8>) of role type named j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.39/0.63 Using role type
% 0.39/0.63 Declaring j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(du->(Prop->(Prop->Prop)))
% 0.39/0.63 FOF formula (forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) of role axiom named reserved_2Eho_2Eeq__ext
% 0.39/0.63 A new axiom: (forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0))))
% 0.39/0.63 FOF formula (forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0))) of role axiom named reserved_2Eho_2Ei__thm
% 0.48/0.64 A new axiom: (forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0)))
% 0.48/0.64 FOF formula (forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0))) of role axiom named reserved_2Eho_2Ek__thm
% 0.48/0.64 A new axiom: (forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0)))
% 0.48/0.64 FOF formula (forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0))))))) of role axiom named reserved_2Eho_2Es__thm
% 0.48/0.64 A new axiom: (forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))))
% 0.48/0.64 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1))) of role axiom named reserved_2Elogic_2E_2F_5C
% 0.48/0.64 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1)))
% 0.48/0.64 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1))) of role axiom named reserved_2Elogic_2E_5C_2F
% 0.48/0.64 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1)))
% 0.48/0.64 FOF formula (forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0))) of role axiom named reserved_2Elogic_2E_7E
% 0.48/0.64 A new axiom: (forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0)))
% 0.48/0.64 FOF formula (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1))) of role axiom named reserved_2Elogic_2E_3D_3D_3E
% 0.48/0.64 A new axiom: (forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1)))
% 0.48/0.64 FOF formula (forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0)))) of role axiom named reserved_2Elogic_2E_3D
% 0.48/0.64 A new axiom: (forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))
% 0.48/0.64 FOF formula (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))) of role axiom named reserved_2Equant_2E_21
% 0.48/0.65 A new axiom: (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))
% 0.48/0.65 FOF formula (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))) of role axiom named reserved_2Equant_2E_3F
% 0.48/0.65 A new axiom: (forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))))
% 0.48/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Ebool
% 0.48/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0)))
% 0.48/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.48/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0)))
% 0.48/0.65 FOF formula (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))) of role axiom named ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.48/0.65 A new axiom: (forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0)))
% 0.48/0.65 FOF formula (forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Ebool
% 0.48/0.66 A new axiom: (forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0))
% 0.48/0.66 FOF formula (forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.48/0.66 A new axiom: (forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0))
% 0.48/0.66 FOF formula (forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0)) of role axiom named ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29
% 0.48/0.66 A new axiom: (forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0))
% 0.48/0.66 FOF formula (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))) of role axiom named arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a
% 0.48/0.66 A new axiom: (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))))
% 0.48/0.66 FOF formula (forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0)))))) of role axiom named arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a
% 0.48/0.66 A new axiom: (forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0))))))
% 0.48/0.66 FOF formula (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))) of role axiom named arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a
% 0.48/0.66 A new axiom: (forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))))
% 0.48/0.67 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.67 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.67 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.67 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.67 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.68 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.68 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.68 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.68 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.68 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.69 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b
% 0.48/0.69 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.69 FOF formula (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) A_27a)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0)))))) of role axiom named arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27b_20mono_2EA_27a
% 0.48/0.69 A new axiom: (forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) A_27a)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0))))))
% 0.48/0.69 FOF formula (forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.48/0.69 A new axiom: (forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1))))))
% 0.55/0.70 FOF formula (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))) of role axiom named monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.55/0.70 A new axiom: (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1))))))
% 0.55/0.70 FOF formula (forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool
% 0.55/0.70 A new axiom: (forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1)))
% 0.55/0.70 FOF formula (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1))) of role axiom named monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29
% 0.55/0.70 A new axiom: (forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1)))
% 0.55/0.70 FOF formula mono_2Ec_2Ebool_2ET of role axiom named thm_2Ebool_2ETRUTH
% 0.55/0.70 A new axiom: mono_2Ec_2Ebool_2ET
% 0.55/0.70 FOF formula (forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t)))) of role axiom named thm_2Ebool_2EIMP__CLAUSES
% 0.55/0.70 A new axiom: (forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t))))
% 0.55/0.70 FOF formula ((and ((and (forall (V0t:Prop), ((iff (not (not V0t))) V0t))) ((iff (not mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2EF))) ((iff (not mono_2Ec_2Ebool_2EF)) mono_2Ec_2Ebool_2ET)) of role axiom named thm_2Ebool_2ENOT__CLAUSES
% 0.55/0.70 A new axiom: ((and ((and (forall (V0t:Prop), ((iff (not (not V0t))) V0t))) ((iff (not mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2EF))) ((iff (not mono_2Ec_2Ebool_2EF)) mono_2Ec_2Ebool_2ET))
% 0.55/0.70 FOF formula (forall (A_27a:d) (V0x_2E0:u) (V1y_2E0:u), ((iff (((eq du) ((s A_27a) V0x_2E0)) ((s A_27a) V1y_2E0))) (((eq du) ((s A_27a) V1y_2E0)) ((s A_27a) V0x_2E0)))) of role axiom named thm_2Ebool_2EEQ__SYM__EQ
% 0.55/0.70 A new axiom: (forall (A_27a:d) (V0x_2E0:u) (V1y_2E0:u), ((iff (((eq du) ((s A_27a) V0x_2E0)) ((s A_27a) V1y_2E0))) (((eq du) ((s A_27a) V1y_2E0)) ((s A_27a) V0x_2E0))))
% 0.55/0.70 FOF formula (forall (V0t:Prop), ((and ((and ((and ((iff (((eq Prop) mono_2Ec_2Ebool_2ET) V0t)) V0t)) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2ET)) V0t))) ((iff (((eq Prop) mono_2Ec_2Ebool_2EF) V0t)) (not V0t)))) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2EF)) (not V0t)))) of role axiom named thm_2Ebool_2EEQ__CLAUSES
% 0.55/0.70 A new axiom: (forall (V0t:Prop), ((and ((and ((and ((iff (((eq Prop) mono_2Ec_2Ebool_2ET) V0t)) V0t)) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2ET)) V0t))) ((iff (((eq Prop) mono_2Ec_2Ebool_2EF) V0t)) (not V0t)))) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2EF)) (not V0t))))
% 0.55/0.70 FOF formula (forall (V0t1:Prop) (V1t2:Prop) (V2t3:Prop), ((iff (V0t1->(V1t2->V2t3))) (((and V0t1) V1t2)->V2t3))) of role axiom named thm_2Ebool_2EAND__IMP__INTRO
% 0.55/0.72 A new axiom: (forall (V0t1:Prop) (V1t2:Prop) (V2t3:Prop), ((iff (V0t1->(V1t2->V2t3))) (((and V0t1) V1t2)->V2t3)))
% 0.55/0.72 FOF formula (forall (V0x:Prop) (V1x_27:Prop) (V2y:Prop) (V3y_27:Prop), (((and (((eq Prop) V0x) V1x_27)) (V1x_27->(((eq Prop) V2y) V3y_27)))->((iff (V0x->V2y)) (V1x_27->V3y_27)))) of role axiom named thm_2Ebool_2EIMP__CONG
% 0.55/0.72 A new axiom: (forall (V0x:Prop) (V1x_27:Prop) (V2y:Prop) (V3y_27:Prop), (((and (((eq Prop) V0x) V1x_27)) (V1x_27->(((eq Prop) V2y) V3y_27)))->((iff (V0x->V2y)) (V1x_27->V3y_27))))
% 0.55/0.72 FOF formula (forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u), ((and ((and ((and ((and ((and ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V2v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V2v_2E0))))->((ex u) (fun (V3fv_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V3fv_2E0)))))))))))) ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V4v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V4v_2E0)))))->((ex u) (fun (V5fv_2E0:u)=> (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V5fv_2E0)))))))))))))) (forall (V6i_2E0:u) (V7P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0))))) (forall (V8fv_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s A_27a) V8fv_2E0))))))))))) (forall (V9i_2E0:u) (V10P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0))))) (forall (V11fv_2E0:u), (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s A_27a) V11fv_2E0)))))))))))) (forall (V12i_2E0:u) (V13P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0))))) (forall (V14v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0)) ((s A_27b) V14v_2E0))))->((ex u) (fun (V15fv_2E0:u)=> (((eq du) ((s A_27b) V14v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s A_27a) V15fv_2E0)))))))))))) (forall (V16i_2E0:u) (V17P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0))))) (forall (V18v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0)) ((s A_27b) V18v_2E0)))))->((ex u) (fun (V19fv_2E0:u)=> (((eq du) ((s A_27b) V18v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s A_27a) V19fv_2E0)))))))))))) of role axiom named thm_2EquantHeuristics_2EGUESS__REWRITES
% 0.55/0.72 A new axiom: (forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u), ((and ((and ((and ((and ((and ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V2v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V2v_2E0))))->((ex u) (fun (V3fv_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V3fv_2E0)))))))))))) ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V4v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V4v_2E0)))))->((ex u) (fun (V5fv_2E0:u)=> (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V5fv_2E0)))))))))))))) (forall (V6i_2E0:u) (V7P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0))))) (forall (V8fv_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s A_27a) V8fv_2E0))))))))))) (forall (V9i_2E0:u) (V10P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0))))) (forall (V11fv_2E0:u), (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s A_27a) V11fv_2E0)))))))))))) (forall (V12i_2E0:u) (V13P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0))))) (forall (V14v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0)) ((s A_27b) V14v_2E0))))->((ex u) (fun (V15fv_2E0:u)=> (((eq du) ((s A_27b) V14v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s A_27a) V15fv_2E0)))))))))))) (forall (V16i_2E0:u) (V17P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0))))) (forall (V18v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0)) ((s A_27b) V18v_2E0)))))->((ex u) (fun (V19fv_2E0:u)=> (((eq du) ((s A_27b) V18v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s A_27a) V19fv_2E0))))))))))))
% 0.55/0.72 FOF formula (forall (V0t:Prop), ((iff (not (not V0t))) V0t)) of role axiom named thm_2Esat_2ENOT__NOT
% 0.55/0.72 A new axiom: (forall (V0t:Prop), ((iff (not (not V0t))) V0t))
% 0.55/0.72 FOF formula (forall (V0A:Prop), (V0A->((not V0A)->mono_2Ec_2Ebool_2EF))) of role axiom named thm_2Esat_2EAND__INV__IMP
% 0.55/0.72 A new axiom: (forall (V0A:Prop), (V0A->((not V0A)->mono_2Ec_2Ebool_2EF)))
% 0.55/0.72 FOF formula (forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or V1A) V0B))->mono_2Ec_2Ebool_2EF)) ((V1A->mono_2Ec_2Ebool_2EF)->((not V0B)->mono_2Ec_2Ebool_2EF)))) of role axiom named thm_2Esat_2EOR__DUAL2
% 0.55/0.74 A new axiom: (forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or V1A) V0B))->mono_2Ec_2Ebool_2EF)) ((V1A->mono_2Ec_2Ebool_2EF)->((not V0B)->mono_2Ec_2Ebool_2EF))))
% 0.55/0.74 FOF formula (forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or (not V1A)) V0B))->mono_2Ec_2Ebool_2EF)) (V1A->((not V0B)->mono_2Ec_2Ebool_2EF)))) of role axiom named thm_2Esat_2EOR__DUAL3
% 0.55/0.74 A new axiom: (forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or (not V1A)) V0B))->mono_2Ec_2Ebool_2EF)) (V1A->((not V0B)->mono_2Ec_2Ebool_2EF))))
% 0.55/0.74 FOF formula (forall (V0A:Prop), (((not V0A)->mono_2Ec_2Ebool_2EF)->((V0A->mono_2Ec_2Ebool_2EF)->mono_2Ec_2Ebool_2EF))) of role axiom named thm_2Esat_2EAND__INV2
% 0.55/0.74 A new axiom: (forall (V0A:Prop), (((not V0A)->mono_2Ec_2Ebool_2EF)->((V0A->mono_2Ec_2Ebool_2EF)->mono_2Ec_2Ebool_2EF)))
% 0.55/0.74 FOF formula (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (((eq Prop) V1q) V0r))) ((and ((and ((and ((or ((or V2p) V1q)) V0r)) ((or ((or V2p) (not V0r))) (not V1q)))) ((or ((or V1q) (not V0r))) (not V2p)))) ((or ((or V0r) (not V1q))) (not V2p))))) of role axiom named thm_2Esat_2Edc__eq
% 0.55/0.74 A new axiom: (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (((eq Prop) V1q) V0r))) ((and ((and ((and ((or ((or V2p) V1q)) V0r)) ((or ((or V2p) (not V0r))) (not V1q)))) ((or ((or V1q) (not V0r))) (not V2p)))) ((or ((or V0r) (not V1q))) (not V2p)))))
% 0.55/0.74 FOF formula (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) ((or V1q) V0r))) ((and ((and ((or V2p) (not V1q))) ((or V2p) (not V0r)))) ((or ((or V1q) V0r)) (not V2p))))) of role axiom named thm_2Esat_2Edc__disj
% 0.55/0.74 A new axiom: (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) ((or V1q) V0r))) ((and ((and ((or V2p) (not V1q))) ((or V2p) (not V0r)))) ((or ((or V1q) V0r)) (not V2p)))))
% 0.55/0.74 FOF formula (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (V1q->V0r))) ((and ((and ((or V2p) V1q)) ((or V2p) (not V0r)))) ((or ((or (not V1q)) V0r)) (not V2p))))) of role axiom named thm_2Esat_2Edc__imp
% 0.55/0.74 A new axiom: (forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (V1q->V0r))) ((and ((and ((or V2p) V1q)) ((or V2p) (not V0r)))) ((or ((or (not V1q)) V0r)) (not V2p)))))
% 0.55/0.74 FOF formula (forall (V0q:Prop) (V1p:Prop), ((iff ((iff V1p) (not V0q))) ((and ((or V1p) V0q)) ((or (not V0q)) (not V1p))))) of role axiom named thm_2Esat_2Edc__neg
% 0.55/0.74 A new axiom: (forall (V0q:Prop) (V1p:Prop), ((iff ((iff V1p) (not V0q))) ((and ((or V1p) V0q)) ((or (not V0q)) (not V1p)))))
% 0.55/0.74 FOF formula (forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->V1p)) of role axiom named thm_2Esat_2Epth__ni1
% 0.55/0.74 A new axiom: (forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->V1p))
% 0.55/0.74 FOF formula (forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->(not V0q))) of role axiom named thm_2Esat_2Epth__ni2
% 0.55/0.74 A new axiom: (forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->(not V0q)))
% 0.55/0.74 FOF formula (forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u) (V2Q_2E0:u), ((forall (V3x_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)) ((s A_27a) V3x_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27a) V3x_2E0))))))->((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0))))))) of role conjecture named thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT
% 0.55/0.74 Conjecture to prove = (forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u) (V2Q_2E0:u), ((forall (V3x_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)) ((s A_27a) V3x_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27a) V3x_2E0))))))->((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0))))))):Prop
% 0.55/0.74 Parameter du_DUMMY:du.
% 0.55/0.74 We need to prove ['(forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u) (V2Q_2E0:u), ((forall (V3x_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)) ((s A_27a) V3x_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27a) V3x_2E0))))))->((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)))))))']
% 0.55/0.74 Parameter u:Type.
% 0.55/0.74 Parameter d:Type.
% 0.55/0.74 Parameter du:Type.
% 0.55/0.74 Parameter tyop_2Emin_2Ebool:d.
% 0.55/0.74 Parameter tyop_2Emin_2Efun:(d->(d->d)).
% 0.55/0.74 Parameter s:(d->(u->du)).
% 0.55/0.74 Parameter app_2E2:(du->(du->u)).
% 0.55/0.74 Parameter combin_i_2E0:u.
% 0.55/0.74 Parameter combin_k_2E0:u.
% 0.55/0.74 Parameter combin_s_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_21_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_21_2E1:(du->u).
% 0.55/0.74 Parameter c_2Ebool_2E_2F_5C_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_2F_5C_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2Emin_2E_3D_2E0:u.
% 0.55/0.74 Parameter c_2Emin_2E_3D_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2Emin_2E_3D_3D_3E_2E0:u.
% 0.55/0.74 Parameter c_2Emin_2E_3D_3D_3E_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2Ebool_2E_3F_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_3F_2E1:(du->u).
% 0.55/0.74 Parameter c_2Ebool_2EF_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0:u.
% 0.55/0.74 Parameter c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2Ebool_2ET_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_5C_2F_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_5C_2F_2E2:(du->(du->u)).
% 0.55/0.74 Parameter c_2Ebool_2E_7E_2E0:u.
% 0.55/0.74 Parameter c_2Ebool_2E_7E_2E1:(du->u).
% 0.55/0.74 Parameter mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:((Prop->Prop)->(Prop->Prop)).
% 0.55/0.74 Parameter mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->(Prop->Prop))->(Prop->(Prop->Prop))).
% 0.55/0.74 Parameter mono_2Ec_2Ebool_2E_2F_5C:(Prop->(Prop->Prop)).
% 0.55/0.74 Parameter mono_2Ec_2Emin_2E_3D_3D_3E:(Prop->(Prop->Prop)).
% 0.55/0.74 Parameter mono_2Ec_2Ebool_2EF:Prop.
% 0.55/0.74 Parameter mono_2Ec_2Ebool_2ET:Prop.
% 0.55/0.74 Parameter mono_2Ec_2Ebool_2E_5C_2F:(Prop->(Prop->Prop)).
% 0.55/0.74 Parameter mono_2Ec_2Ebool_2E_7E:(Prop->Prop).
% 0.55/0.74 Parameter i_mono_2Etyop_2Emin_2Ebool:(Prop->u).
% 0.55/0.74 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:((Prop->Prop)->u).
% 0.55/0.74 Parameter i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:((Prop->(Prop->Prop))->u).
% 0.55/0.74 Parameter j_mono_2Etyop_2Emin_2Ebool:(du->Prop).
% 0.55/0.74 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(du->(Prop->Prop)).
% 0.55/0.74 Parameter j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(du->(Prop->(Prop->Prop))).
% 0.55/0.74 Axiom reserved_2Eho_2Eeq__ext:(forall (A_27a:d) (A_27b:d) (V0f_2E0:u) (V1g_2E0:u), ((forall (V2x_2E0:u), (((eq du) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0)))))->(((eq du) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0f_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))).
% 0.55/0.74 Axiom reserved_2Eho_2Ei__thm:(forall (A_27a:d) (V0x_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27a) V0x_2E0))).
% 0.55/0.74 Axiom reserved_2Eho_2Ek__thm:(forall (A_27a:d) (A_27b:d) (V0x_2E0:u) (V1y_2E0:u), (((eq du) ((s A_27a) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27a))) combin_k_2E0)) ((s A_27a) V0x_2E0)))) ((s A_27b) V1y_2E0)))) ((s A_27a) V0x_2E0))).
% 0.55/0.74 Axiom reserved_2Eho_2Es__thm:(forall (A_27a:d) (A_27b:d) (A_27c:d) (V0f_2E0:u) (V1g_2E0:u) (V2x_2E0:u), (((eq du) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c))) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun A_27a) A_27c)))) combin_s_2E0)) ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)))) ((s A_27a) V2x_2E0)))) ((s A_27c) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27c)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27b) A_27c))) V0f_2E0)) ((s A_27a) V2x_2E0)))) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V1g_2E0)) ((s A_27a) V2x_2E0))))))).
% 0.55/0.74 Axiom reserved_2Elogic_2E_2F_5C:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_2F_5C V0) V1)) ((and V0) V1))).
% 0.55/0.74 Axiom reserved_2Elogic_2E_5C_2F:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Ebool_2E_5C_2F V0) V1)) ((or V0) V1))).
% 0.55/0.74 Axiom reserved_2Elogic_2E_7E:(forall (V0:Prop), ((iff (mono_2Ec_2Ebool_2E_7E V0)) (not V0))).
% 0.55/0.74 Axiom reserved_2Elogic_2E_3D_3D_3E:(forall (V0:Prop) (V1:Prop), ((iff ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1)) (V0->V1))).
% 0.55/0.74 Axiom reserved_2Elogic_2E_3D:(forall (A_27a:d) (V0_2E0:u) (V1_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0))))) (((eq du) ((s A_27a) V0_2E0)) ((s A_27a) V1_2E0)))).
% 0.55/0.74 Axiom reserved_2Equant_2E_21:(forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) (forall (V1x_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))).
% 0.55/0.74 Axiom reserved_2Equant_2E_3F:(forall (A_27a:d) (V0f_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0))))) ((ex u) (fun (V1x_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0)))))))).
% 0.55/0.74 Axiom ij_2Emono_2Etyop_2Emin_2Ebool:(forall (V0_2E0:u), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) V0_2E0))))) ((s tyop_2Emin_2Ebool) V0_2E0))).
% 0.55/0.74 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) V0_2E0))).
% 0.55/0.74 Axiom ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(forall (V0_2E0:u), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) V0_2E0))).
% 0.55/0.74 Axiom ji_2Emono_2Etyop_2Emin_2Ebool:(forall (V0:Prop), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0)))) V0)).
% 0.55/0.74 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->Prop)), (((eq (Prop->Prop)) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0)))) V0)).
% 0.55/0.74 Axiom ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29:(forall (V0:(Prop->(Prop->Prop))), (((eq (Prop->(Prop->Prop))) (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0)))) V0)).
% 0.55/0.74 Axiom arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u) (X1_2E0:u), ((iff (((eq du) ((s A_27a) X0_2E0)) ((s A_27a) X1_2E0))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) c_2Emin_2E_3D_2E0)) ((s A_27a) X0_2E0)))) ((s A_27a) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a:(forall (A_27a:d) (X0_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X0_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) A_27b)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27a) A_27b)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.74 Axiom arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27b_20mono_2EA_27a:(forall (A_27a:d) (A_27b:d) (X0_2E0:u) (X1_2E0:u), (((eq Prop) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27b) A_27a)) ((tyop_2Emin_2Efun ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) tyop_2Emin_2Ebool))) c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) ((s ((tyop_2Emin_2Efun A_27b) A_27a)) X0_2E0)))) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) X1_2E0)))))).
% 0.55/0.75 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:(forall (V0:(Prop->Prop)) (V1:Prop), (((eq du) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool (V0 V1)))) ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))).
% 0.55/0.75 Axiom monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq du) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1)))) ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1)))))).
% 0.55/0.75 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool:(forall (V0:(Prop->Prop)) (V1:Prop), (((eq Prop) (V0 V1)) (V0 V1))).
% 0.55/0.75 Axiom monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29:(forall (V0:(Prop->(Prop->Prop))) (V1:Prop), (((eq (Prop->Prop)) (V0 V1)) (V0 V1))).
% 0.55/0.75 Axiom thm_2Ebool_2ETRUTH:mono_2Ec_2Ebool_2ET.
% 0.55/0.75 Axiom thm_2Ebool_2EIMP__CLAUSES:(forall (V0t:Prop), ((and ((and ((and ((and ((iff (mono_2Ec_2Ebool_2ET->V0t)) V0t)) ((iff (V0t->mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2ET))) ((iff (mono_2Ec_2Ebool_2EF->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->V0t)) mono_2Ec_2Ebool_2ET))) ((iff (V0t->mono_2Ec_2Ebool_2EF)) (not V0t)))).
% 0.55/0.75 Axiom thm_2Ebool_2ENOT__CLAUSES:((and ((and (forall (V0t:Prop), ((iff (not (not V0t))) V0t))) ((iff (not mono_2Ec_2Ebool_2ET)) mono_2Ec_2Ebool_2EF))) ((iff (not mono_2Ec_2Ebool_2EF)) mono_2Ec_2Ebool_2ET)).
% 0.55/0.75 Axiom thm_2Ebool_2EEQ__SYM__EQ:(forall (A_27a:d) (V0x_2E0:u) (V1y_2E0:u), ((iff (((eq du) ((s A_27a) V0x_2E0)) ((s A_27a) V1y_2E0))) (((eq du) ((s A_27a) V1y_2E0)) ((s A_27a) V0x_2E0)))).
% 0.55/0.75 Axiom thm_2Ebool_2EEQ__CLAUSES:(forall (V0t:Prop), ((and ((and ((and ((iff (((eq Prop) mono_2Ec_2Ebool_2ET) V0t)) V0t)) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2ET)) V0t))) ((iff (((eq Prop) mono_2Ec_2Ebool_2EF) V0t)) (not V0t)))) ((iff (((eq Prop) V0t) mono_2Ec_2Ebool_2EF)) (not V0t)))).
% 0.55/0.75 Axiom thm_2Ebool_2EAND__IMP__INTRO:(forall (V0t1:Prop) (V1t2:Prop) (V2t3:Prop), ((iff (V0t1->(V1t2->V2t3))) (((and V0t1) V1t2)->V2t3))).
% 0.55/0.75 Axiom thm_2Ebool_2EIMP__CONG:(forall (V0x:Prop) (V1x_27:Prop) (V2y:Prop) (V3y_27:Prop), (((and (((eq Prop) V0x) V1x_27)) (V1x_27->(((eq Prop) V2y) V3y_27)))->((iff (V0x->V2y)) (V1x_27->V3y_27)))).
% 0.55/0.75 Axiom thm_2EquantHeuristics_2EGUESS__REWRITES:(forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u), ((and ((and ((and ((and ((and ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V2v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V2v_2E0))))->((ex u) (fun (V3fv_2E0:u)=> (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V3fv_2E0)))))))))))) ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0))))) (forall (V4v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) V4v_2E0)))))->((ex u) (fun (V5fv_2E0:u)=> (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) ((s A_27a) V5fv_2E0)))))))))))))) (forall (V6i_2E0:u) (V7P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0))))) (forall (V8fv_2E0:u), (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V7P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) ((s A_27a) V8fv_2E0))))))))))) (forall (V9i_2E0:u) (V10P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0))))) (forall (V11fv_2E0:u), (not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V10P_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) ((s A_27a) V11fv_2E0)))))))))))) (forall (V12i_2E0:u) (V13P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0))))) (forall (V14v_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V13P_2E0)) ((s A_27b) V14v_2E0))))->((ex u) (fun (V15fv_2E0:u)=> (((eq du) ((s A_27b) V14v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) ((s A_27a) V15fv_2E0)))))))))))) (forall (V16i_2E0:u) (V17P_2E0:u), ((iff (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0))))) (forall (V18v_2E0:u), ((not (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27b) tyop_2Emin_2Ebool)) V17P_2E0)) ((s A_27b) V18v_2E0)))))->((ex u) (fun (V19fv_2E0:u)=> (((eq du) ((s A_27b) V18v_2E0)) ((s A_27b) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) ((s A_27a) V19fv_2E0)))))))))))).
% 0.55/0.75 Axiom thm_2Esat_2ENOT__NOT:(forall (V0t:Prop), ((iff (not (not V0t))) V0t)).
% 0.55/0.75 Axiom thm_2Esat_2EAND__INV__IMP:(forall (V0A:Prop), (V0A->((not V0A)->mono_2Ec_2Ebool_2EF))).
% 0.55/0.75 Axiom thm_2Esat_2EOR__DUAL2:(forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or V1A) V0B))->mono_2Ec_2Ebool_2EF)) ((V1A->mono_2Ec_2Ebool_2EF)->((not V0B)->mono_2Ec_2Ebool_2EF)))).
% 0.55/0.75 Axiom thm_2Esat_2EOR__DUAL3:(forall (V0B:Prop) (V1A:Prop), ((iff ((not ((or (not V1A)) V0B))->mono_2Ec_2Ebool_2EF)) (V1A->((not V0B)->mono_2Ec_2Ebool_2EF)))).
% 0.55/0.75 Axiom thm_2Esat_2EAND__INV2:(forall (V0A:Prop), (((not V0A)->mono_2Ec_2Ebool_2EF)->((V0A->mono_2Ec_2Ebool_2EF)->mono_2Ec_2Ebool_2EF))).
% 0.55/0.75 Axiom thm_2Esat_2Edc__eq:(forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (((eq Prop) V1q) V0r))) ((and ((and ((and ((or ((or V2p) V1q)) V0r)) ((or ((or V2p) (not V0r))) (not V1q)))) ((or ((or V1q) (not V0r))) (not V2p)))) ((or ((or V0r) (not V1q))) (not V2p))))).
% 0.55/0.75 Axiom thm_2Esat_2Edc__disj:(forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) ((or V1q) V0r))) ((and ((and ((or V2p) (not V1q))) ((or V2p) (not V0r)))) ((or ((or V1q) V0r)) (not V2p))))).
% 0.55/0.75 Axiom thm_2Esat_2Edc__imp:(forall (V0r:Prop) (V1q:Prop) (V2p:Prop), ((iff ((iff V2p) (V1q->V0r))) ((and ((and ((or V2p) V1q)) ((or V2p) (not V0r)))) ((or ((or (not V1q)) V0r)) (not V2p))))).
% 15.03/15.22 Axiom thm_2Esat_2Edc__neg:(forall (V0q:Prop) (V1p:Prop), ((iff ((iff V1p) (not V0q))) ((and ((or V1p) V0q)) ((or (not V0q)) (not V1p))))).
% 15.03/15.22 Axiom thm_2Esat_2Epth__ni1:(forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->V1p)).
% 15.03/15.22 Axiom thm_2Esat_2Epth__ni2:(forall (V0q:Prop) (V1p:Prop), ((not (V1p->V0q))->(not V0q))).
% 15.03/15.22 Trying to prove (forall (A_27a:d) (A_27b:d) (V0i_2E0:u) (V1P_2E0:u) (V2Q_2E0:u), ((forall (V3x_2E0:u), ((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)) ((s A_27a) V3x_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)) ((s A_27a) V3x_2E0))))))->((j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))->(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V2Q_2E0)))))))
% 15.03/15.22 Found x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (P ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))
% 15.03/15.22 Found x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (P ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))
% 15.03/15.22 Found x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0))))
% 15.03/15.22 Found (fun (x00:(j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 ((s ((tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)) ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V1P_2E0)))))=> x00) as proof of (P ((s ((tyop_2Emin_2Efun A_27a) tyop
%------------------------------------------------------------------------------