TSTP Solution File: ITP117^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : ITP117^1 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 13:24:14 EDT 2021
% Result : Unknown 0.76s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP117^1 : TPTP v7.5.0. Released v7.5.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Mar 19 06:15:32 EDT 2021
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.35 Python 2.7.5
% 0.44/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7cf8>, <kernel.Type object at 0x12c7a28>) of role type named ty_n_t__Sigma____Algebra__Omeasure_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring sigma_1422848389real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12ee248>, <kernel.Type object at 0x12c7bd8>) of role type named ty_n_t__Set__Oset_It__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_Si1125517487real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7998>, <kernel.Type object at 0x12c7a70>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_se820660888real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7a28>, <kernel.Type object at 0x12c7b48>) of role type named ty_n_t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring sigma_1466784463real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7bd8>, <kernel.Type object at 0x12c7908>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_se2111327970real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7a70>, <kernel.Type object at 0x12c75f0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_se944069346_int_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7b48>, <kernel.Type object at 0x12c7d88>) of role type named ty_n_t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_Fi1058188332real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7908>, <kernel.Type object at 0x12c75a8>) of role type named ty_n_t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_Fi160064172_int_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c75f0>, <kernel.Type object at 0x12c79e0>) of role type named ty_n_t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring finite1489363574real_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b551b6e9bd8>, <kernel.Type object at 0x12c75a8>) of role type named ty_n_t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring finite964658038_int_n:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b551b709518>, <kernel.Type object at 0x12c79e0>) of role type named ty_n_t__Set__Oset_It__Extended____Nonnegative____Real__Oennreal_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_Ex113815278nnreal:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b551b709560>, <kernel.Type object at 0x12c7cb0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_set_nat:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b55231e71b8>, <kernel.Type object at 0x12c79e0>) of role type named ty_n_t__Extended____Nonnegative____Real__Oennreal
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring extend1728876344nnreal:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7908>, <kernel.Type object at 0x2b55231e0a28>) of role type named ty_n_t__Sigma____Algebra__Omeasure_I_Eo_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring sigma_measure_o:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b55231e07a0>, <kernel.Type object at 0x12c79e0>) of role type named ty_n_t__Set__Oset_It__Set__Oset_I_Eo_J_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_set_o:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x12c7d88>, <kernel.Type object at 0x2b551b708950>) of role type named ty_n_t__Set__Oset_It__Nat__Onat_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_nat:Type
% 0.44/0.62 FOF formula (<kernel.Constant object at 0x2b551b708dd0>, <kernel.Type object at 0x2b55231e07a0>) of role type named ty_n_t__Set__Oset_I_Eo_J
% 0.44/0.62 Using role type
% 0.44/0.62 Declaring set_o:Type
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b55231e0758>, <kernel.Type object at 0x2b551b708e18>) of role type named ty_n_t__Nat__Onat
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring nat:Type
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12c75f0>, <kernel.DependentProduct object at 0x12e4c20>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001_Eo
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring complete_Sup_Sup_o:(set_o->Prop)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12c7908>, <kernel.DependentProduct object at 0x12e41b8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple1413366923nnreal:(set_Ex113815278nnreal->extend1728876344nnreal)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12c75f0>, <kernel.DependentProduct object at 0x12e4c68>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple2042271945real_n:(set_Fi1058188332real_n->finite1489363574real_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12c75f0>, <kernel.DependentProduct object at 0x12e4ea8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_I_Eo_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple1665300069_set_o:(set_set_o->set_o)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4c20>, <kernel.DependentProduct object at 0x2b5523204a28>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple970917503_int_n:(set_se944069346_int_n->set_Fi160064172_int_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b55231e07a0>, <kernel.DependentProduct object at 0x2b55231ffbd8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple825005695real_n:(set_se2111327970real_n->set_Fi1058188332real_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b55231e0758>, <kernel.DependentProduct object at 0x2b55231ff290>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple1682161881et_nat:(set_set_nat->set_nat)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x2b55231e0758>, <kernel.DependentProduct object at 0x2b55231ff4d0>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple1917283637real_n:(set_se820660888real_n->set_se2111327970real_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4bd8>, <kernel.DependentProduct object at 0x2b55231ff3f8>) of role type named sy_c_Complete__Lattices_OSup__class_OSup_001t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple488165692real_n:(set_Si1125517487real_n->sigma_1466784463real_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4c68>, <kernel.DependentProduct object at 0x2b55231ff518>) of role type named sy_c_Complete__Measure_Ocompletion_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring comple230862828real_n:(sigma_1466784463real_n->sigma_1466784463real_n)
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4cf8>, <kernel.DependentProduct object at 0x2b55231ffbd8>) of role type named sy_c_Countable__Set_Ofrom__nat__into_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring counta1142393929_int_n:(set_Fi160064172_int_n->(nat->finite964658038_int_n))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4c68>, <kernel.DependentProduct object at 0x2b55231ffdd0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.46/0.62 Using role type
% 0.46/0.62 Declaring minus_1196255695_int_n:(finite964658038_int_n->(finite964658038_int_n->finite964658038_int_n))
% 0.46/0.62 FOF formula (<kernel.Constant object at 0x12e4cf8>, <kernel.DependentProduct object at 0x2b55231ff4d0>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring minus_1037315151real_n:(finite1489363574real_n->(finite1489363574real_n->finite1489363574real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12e4bd8>, <kernel.DependentProduct object at 0x2b55231fff80>) of role type named sy_c_Groups_Ominus__class_Ominus_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring minus_1686442501real_n:(set_Fi1058188332real_n->(set_Fi1058188332real_n->set_Fi1058188332real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12e4bd8>, <kernel.Constant object at 0x2b55231fff80>) of role type named sy_c_Groups_Oone__class_Oone_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring one_on705384445nnreal:extend1728876344nnreal
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff518>, <kernel.Constant object at 0x2b55231fff80>) of role type named sy_c_Groups_Oone__class_Oone_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring one_on1253059131real_n:finite1489363574real_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffbd8>, <kernel.DependentProduct object at 0x2b55231ff290>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring plus_p1763960001nnreal:(extend1728876344nnreal->(extend1728876344nnreal->extend1728876344nnreal))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.DependentProduct object at 0x2b55231ffa70>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring plus_p1654784127_int_n:(finite964658038_int_n->(finite964658038_int_n->finite964658038_int_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231fff80>, <kernel.DependentProduct object at 0x2b55231ffcb0>) of role type named sy_c_Groups_Oplus__class_Oplus_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring plus_p585657087real_n:(finite1489363574real_n->(finite1489363574real_n->finite1489363574real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff290>, <kernel.Constant object at 0x2b55231ffcb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring zero_z1963244097nnreal:extend1728876344nnreal
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.Constant object at 0x2b55231ffcb0>) of role type named sy_c_Groups_Ozero__class_Ozero_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring zero_z200130687real_n:finite1489363574real_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231fff80>, <kernel.DependentProduct object at 0x2b55231ffdd0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_I_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring inf_inf_set_o:(set_o->(set_o->set_o))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff2d8>, <kernel.DependentProduct object at 0x2b55231ffe60>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring inf_in1108485182_int_n:(set_Fi160064172_int_n->(set_Fi160064172_int_n->set_Fi160064172_int_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffcb0>, <kernel.DependentProduct object at 0x2b55231ffd88>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring inf_in1974387902real_n:(set_Fi1058188332real_n->(set_Fi1058188332real_n->set_Fi1058188332real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffdd0>, <kernel.DependentProduct object at 0x2b55231ff290>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring inf_inf_set_nat:(set_nat->(set_nat->set_nat))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffe60>, <kernel.DependentProduct object at 0x2b55231ff0e0>) of role type named sy_c_Lattices_Oinf__class_Oinf_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring inf_in632889204real_n:(set_se2111327970real_n->(set_se2111327970real_n->set_se2111327970real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffd88>, <kernel.Constant object at 0x2b55231ff0e0>) of role type named sy_c_Lebesgue__Measure_Olborel_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring lebesg260170249real_n:sigma_1466784463real_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffdd0>, <kernel.DependentProduct object at 0x2b55231ffcb0>) of role type named sy_c_Measure__Space_Onull__sets_001_Eo
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring measure_null_sets_o:(sigma_measure_o->set_set_o)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff518>, <kernel.DependentProduct object at 0x2b55231ff5a8>) of role type named sy_c_Measure__Space_Onull__sets_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring measur1402256771real_n:(sigma_1466784463real_n->set_se2111327970real_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.DependentProduct object at 0x2b55231ff050>) of role type named sy_c_Measure__Space_Onull__sets_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring measur2126959417real_n:(sigma_1422848389real_n->set_se820660888real_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffcb0>, <kernel.DependentProduct object at 0x2b55231ff200>) of role type named sy_c_Minkowskis__Theorem__Mirabelle__uzuvqgwfeb_Oof__int__vec_001tf__n_001t__Real__Oreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring minkow1134813771n_real:(finite964658038_int_n->finite1489363574real_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff5a8>, <kernel.DependentProduct object at 0x2b55231ff518>) of role type named sy_c_Orderings_Oord__class_Oless_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring ord_le2133614988nnreal:(extend1728876344nnreal->(extend1728876344nnreal->Prop))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x15cabd8>, <kernel.DependentProduct object at 0x2b55231ff0e0>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_M_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to287930409nt_n_o:(finite964658038_int_n->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffdd0>, <kernel.DependentProduct object at 0x2b55231ff248>) of role type named sy_c_Orderings_Otop__class_Otop_001_062_It__Nat__Onat_M_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_top_nat_o:(nat->Prop)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff518>, <kernel.Sort object at 0x2b55231e05a8>) of role type named sy_c_Orderings_Otop__class_Otop_001_Eo
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_top_o:Prop
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff638>, <kernel.Constant object at 0x2b55231ffdd0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to1845833192nnreal:extend1728876344nnreal
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.Constant object at 0x2b55231ffdd0>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_top_set_o:set_o
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff518>, <kernel.Constant object at 0x2b55231ff638>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to131672412_int_n:set_Fi160064172_int_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.Constant object at 0x12ed908>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to1292442332real_n:set_Fi1058188332real_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff638>, <kernel.Constant object at 0x12ede60>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Nat__Onat_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_top_set_nat:set_nat
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ff0e0>, <kernel.Constant object at 0x12ed290>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to1587634578_int_n:set_se944069346_int_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffdd0>, <kernel.Constant object at 0x12ed290>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_to20708754real_n:set_se2111327970real_n
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x2b55231ffdd0>, <kernel.Constant object at 0x12ed290>) of role type named sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring top_top_set_set_nat:set_set_nat
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12edea8>, <kernel.DependentProduct object at 0x12ed128>) of role type named sy_c_Series_Osums_001t__Extended____Nonnegative____Real__Oennreal
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring sums_E1192373732nnreal:((nat->extend1728876344nnreal)->(extend1728876344nnreal->Prop))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed3b0>, <kernel.DependentProduct object at 0x12e9638>) of role type named sy_c_Set_OCollect_001_Eo
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring collect_o:((Prop->Prop)->set_o)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed4d0>, <kernel.DependentProduct object at 0x12e9fc8>) of role type named sy_c_Set_OCollect_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring collec1941932235_int_n:((finite964658038_int_n->Prop)->set_Fi160064172_int_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed908>, <kernel.DependentProduct object at 0x12e9998>) of role type named sy_c_Set_OCollect_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring collec321817931real_n:((finite1489363574real_n->Prop)->set_Fi1058188332real_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ede60>, <kernel.DependentProduct object at 0x12e9b00>) of role type named sy_c_Set_OCollect_001t__Nat__Onat
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring collect_nat:((nat->Prop)->set_nat)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed368>, <kernel.DependentProduct object at 0x12e9fc8>) of role type named sy_c_Set_OCollect_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring collec452821761real_n:((set_Fi1058188332real_n->Prop)->set_se2111327970real_n)
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed128>, <kernel.DependentProduct object at 0x12e9908>) of role type named sy_c_Set_Oimage_001_Eo_001_Eo
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring image_o_o:((Prop->Prop)->(set_o->set_o))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed4d0>, <kernel.DependentProduct object at 0x12e9638>) of role type named sy_c_Set_Oimage_001_Eo_001t__Set__Oset_I_Eo_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring image_o_set_o:((Prop->set_o)->(set_o->set_set_o))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ed128>, <kernel.DependentProduct object at 0x12e9b00>) of role type named sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring image_1759008383real_n:((Prop->set_Fi1058188332real_n)->(set_o->set_se2111327970real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ede60>, <kernel.DependentProduct object at 0x12e9638>) of role type named sy_c_Set_Oimage_001_Eo_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring image_452144437real_n:((Prop->set_se2111327970real_n)->(set_o->set_se820660888real_n))
% 0.46/0.63 FOF formula (<kernel.Constant object at 0x12ede60>, <kernel.DependentProduct object at 0x12e9998>) of role type named sy_c_Set_Oimage_001_Eo_001t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.46/0.63 Using role type
% 0.46/0.63 Declaring image_1599934780real_n:((Prop->sigma_1466784463real_n)->(set_o->set_Si1125517487real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12e9908>) of role type named sy_c_Set_Oimage_001t__Extended____Nonnegative____Real__Oennreal_001t__Extended____Nonnegative____Real__Oennreal
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_2066995319nnreal:((extend1728876344nnreal->extend1728876344nnreal)->(set_Ex113815278nnreal->set_Ex113815278nnreal))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9638>, <kernel.DependentProduct object at 0x12e9488>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_216309723nt_n_o:((finite964658038_int_n->Prop)->(set_Fi160064172_int_n->set_o))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9cf8>, <kernel.DependentProduct object at 0x12e9fc8>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1278151539_int_n:((finite964658038_int_n->finite964658038_int_n)->(set_Fi160064172_int_n->set_Fi160064172_int_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9998>, <kernel.DependentProduct object at 0x12e9638>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_2058828787real_n:((finite964658038_int_n->finite1489363574real_n)->(set_Fi160064172_int_n->set_Fi1058188332real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9368>, <kernel.DependentProduct object at 0x12e9cf8>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_497739341_n_nat:((finite964658038_int_n->nat)->(set_Fi160064172_int_n->set_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9f80>, <kernel.DependentProduct object at 0x12e9998>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1819506345_int_n:((finite964658038_int_n->set_Fi160064172_int_n)->(set_Fi160064172_int_n->set_se944069346_int_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e93f8>, <kernel.DependentProduct object at 0x12e9368>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_355963305real_n:((finite964658038_int_n->set_Fi1058188332real_n)->(set_Fi160064172_int_n->set_se2111327970real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9488>, <kernel.DependentProduct object at 0x12e9f80>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1085873667et_nat:((finite964658038_int_n->set_nat)->(set_Fi160064172_int_n->set_set_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12e93f8>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_439535603real_n:((finite1489363574real_n->finite1489363574real_n)->(set_Fi1058188332real_n->set_Fi1058188332real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9cf8>, <kernel.DependentProduct object at 0x12e9488>) of role type named sy_c_Set_Oimage_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_545463721real_n:((finite1489363574real_n->set_Fi1058188332real_n)->(set_Fi1058188332real_n->set_se2111327970real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9f80>, <kernel.DependentProduct object at 0x12e9fc8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_nat_o:((nat->Prop)->(set_nat->set_o))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9368>, <kernel.DependentProduct object at 0x12e9488>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1961920973_int_n:((nat->finite964658038_int_n)->(set_nat->set_Fi160064172_int_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12ea1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_183184717real_n:((nat->finite1489363574real_n)->(set_nat->set_Fi1058188332real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9f80>, <kernel.DependentProduct object at 0x12ea1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12ea1b8>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_968789251_int_n:((nat->set_Fi160064172_int_n)->(set_nat->set_se944069346_int_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9488>, <kernel.DependentProduct object at 0x12ea248>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1856576259real_n:((nat->set_Fi1058188332real_n)->(set_nat->set_se2111327970real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12ea488>) of role type named sy_c_Set_Oimage_001t__Nat__Onat_001t__Set__Oset_It__Nat__Onat_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_nat_set_nat:((nat->set_nat)->(set_nat->set_set_nat))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12e9fc8>, <kernel.DependentProduct object at 0x12ea1b8>) of role type named sy_c_Set_Oimage_001t__Set__Oset_I_Eo_J_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_set_o_o:((set_o->Prop)->(set_set_o->set_o))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12eac68>, <kernel.DependentProduct object at 0x12ead40>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_792439519real_n:((set_Fi160064172_int_n->set_Fi1058188332real_n)->(set_se944069346_int_n->set_se2111327970real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12ea5a8>, <kernel.DependentProduct object at 0x12ea2d8>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_J_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1054146965real_n:((set_Fi160064172_int_n->set_se2111327970real_n)->(set_se944069346_int_n->set_se820660888real_n))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12ea1b8>, <kernel.DependentProduct object at 0x12eac68>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001_Eo
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1648361637al_n_o:((set_Fi1058188332real_n->Prop)->(set_se2111327970real_n->set_o))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12ea488>, <kernel.DependentProduct object at 0x12ea2d8>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Set__Oset_I_Eo_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1687589765_set_o:((set_Fi1058188332real_n->set_o)->(set_se2111327970real_n->set_set_o))
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x12eac68>, <kernel.DependentProduct object at 0x2b551b72f0e0>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring image_1661509983real_n:((set_Fi1058188332real_n->set_Fi1058188332real_n)->(set_se2111327970real_n->set_se2111327970real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x12ea1b8>, <kernel.DependentProduct object at 0x2b551b72f0e0>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_797440021real_n:((set_Fi1058188332real_n->set_se2111327970real_n)->(set_se2111327970real_n->set_se820660888real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x12eac68>, <kernel.DependentProduct object at 0x2b551b72f0e0>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_987430492real_n:((set_Fi1058188332real_n->sigma_1466784463real_n)->(set_se2111327970real_n->set_Si1125517487real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x12ea2d8>, <kernel.DependentProduct object at 0x2b551b72f128>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_933134521real_n:((set_nat->set_Fi1058188332real_n)->(set_set_nat->set_se2111327970real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x12eac68>, <kernel.DependentProduct object at 0x2b551b72f098>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Nat__Onat_J_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_1587769199real_n:((set_nat->set_se2111327970real_n)->(set_set_nat->set_se820660888real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x12eac68>, <kernel.DependentProduct object at 0x2b551b72f2d8>) of role type named sy_c_Set_Oimage_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_1681970287al_n_o:((set_se2111327970real_n->Prop)->(set_se820660888real_n->set_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f170>, <kernel.DependentProduct object at 0x2b551b72f248>) of role type named sy_c_Set_Oimage_001t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring image_1298280374real_n:((sigma_1466784463real_n->set_Fi1058188332real_n)->(set_Si1125517487real_n->set_se2111327970real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f320>, <kernel.DependentProduct object at 0x2b551b72f200>) of role type named sy_c_Set_Ovimage_001_Eo_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage_o_o:((Prop->Prop)->(set_o->set_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f0e0>, <kernel.DependentProduct object at 0x2b551b72f1b8>) of role type named sy_c_Set_Ovimage_001_Eo_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage961837641real_n:((Prop->set_Fi1058188332real_n)->(set_se2111327970real_n->set_o))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f200>, <kernel.DependentProduct object at 0x2b551b72f368>) of role type named sy_c_Set_Ovimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage1122713129_int_n:((finite964658038_int_n->finite964658038_int_n)->(set_Fi160064172_int_n->set_Fi160064172_int_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f320>, <kernel.DependentProduct object at 0x2b551b72f0e0>) of role type named sy_c_Set_Ovimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage1276736425real_n:((finite964658038_int_n->finite1489363574real_n)->(set_Fi1058188332real_n->set_Fi160064172_int_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f440>, <kernel.DependentProduct object at 0x2b551b72f200>) of role type named sy_c_Set_Ovimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage1398021123_n_nat:((finite964658038_int_n->nat)->(set_nat->set_Fi160064172_int_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f248>, <kernel.DependentProduct object at 0x2b551b72f320>) of role type named sy_c_Set_Ovimage_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage464515423real_n:((finite964658038_int_n->set_Fi1058188332real_n)->(set_se2111327970real_n->set_Fi160064172_int_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f518>, <kernel.DependentProduct object at 0x2b551b72f440>) of role type named sy_c_Set_Ovimage_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage1233683625real_n:((finite1489363574real_n->finite1489363574real_n)->(set_Fi1058188332real_n->set_Fi1058188332real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f1b8>, <kernel.DependentProduct object at 0x2b551b72f248>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage714719107_int_n:((nat->finite964658038_int_n)->(set_Fi160064172_int_n->set_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f368>, <kernel.DependentProduct object at 0x2b551b72f518>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage1860757507real_n:((nat->finite1489363574real_n)->(set_Fi1058188332real_n->set_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f5f0>, <kernel.DependentProduct object at 0x2b551b72f1b8>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Nat__Onat
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage_nat_nat:((nat->nat)->(set_nat->set_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f638>, <kernel.DependentProduct object at 0x2b551b72f368>) of role type named sy_c_Set_Ovimage_001t__Nat__Onat_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage3210681real_n:((nat->set_Fi1058188332real_n)->(set_se2111327970real_n->set_nat))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f320>, <kernel.DependentProduct object at 0x2b551b72f488>) of role type named sy_c_Set_Ovimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001_Eo
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage851190895al_n_o:((set_Fi1058188332real_n->Prop)->(set_o->set_se2111327970real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f6c8>, <kernel.DependentProduct object at 0x2b551b72f638>) of role type named sy_c_Set_Ovimage_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring vimage784510485real_n:((set_Fi1058188332real_n->set_Fi1058188332real_n)->(set_se2111327970real_n->set_se2111327970real_n))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f2d8>, <kernel.DependentProduct object at 0x2b551b72f200>) of role type named sy_c_Sigma__Algebra_Oemeasure_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring sigma_1536574303real_n:(sigma_1466784463real_n->(set_Fi1058188332real_n->extend1728876344nnreal))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f518>, <kernel.DependentProduct object at 0x2b551b72f710>) of role type named sy_c_Sigma__Algebra_Osets_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring sigma_1235138647real_n:(sigma_1466784463real_n->set_se2111327970real_n)
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2b551b72f128>, <kernel.DependentProduct object at 0x2b551b72f830>) of role type named sy_c_Sigma__Algebra_Ospace_001_Eo
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring sigma_space_o:(sigma_measure_o->set_o)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f7e8>, <kernel.DependentProduct object at 0x2b551b72f518>) of role type named sy_c_Sigma__Algebra_Ospace_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring sigma_476185326real_n:(sigma_1466784463real_n->set_Fi1058188332real_n)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f710>, <kernel.DependentProduct object at 0x2b551b72f878>) of role type named sy_c_Sigma__Algebra_Ospace_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring sigma_607186084real_n:(sigma_1422848389real_n->set_se2111327970real_n)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f128>, <kernel.DependentProduct object at 0x2b551b72f878>) of role type named sy_c_member_001_Eo
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member_o:(Prop->(set_o->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f7e8>, <kernel.DependentProduct object at 0x2b551b72f518>) of role type named sy_c_member_001t__Extended____Nonnegative____Real__Oennreal
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member1217042383nnreal:(extend1728876344nnreal->(set_Ex113815278nnreal->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f200>, <kernel.DependentProduct object at 0x2b551b72f8c0>) of role type named sy_c_member_001t__Finite____Cartesian____Product__Ovec_It__Int__Oint_Mtf__n_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member27055245_int_n:(finite964658038_int_n->(set_Fi160064172_int_n->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f830>, <kernel.DependentProduct object at 0x2b551b72f710>) of role type named sy_c_member_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member1352538125real_n:(finite1489363574real_n->(set_Fi1058188332real_n->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f950>, <kernel.DependentProduct object at 0x2b551b72f128>) of role type named sy_c_member_001t__Nat__Onat
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member_nat:(nat->(set_nat->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f638>, <kernel.DependentProduct object at 0x2b551b72f950>) of role type named sy_c_member_001t__Set__Oset_I_Eo_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member_set_o:(set_o->(set_set_o->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f200>, <kernel.DependentProduct object at 0x2b551b72f7e8>) of role type named sy_c_member_001t__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member223413699real_n:(set_Fi1058188332real_n->(set_se2111327970real_n->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f128>, <kernel.DependentProduct object at 0x2b551b72f830>) of role type named sy_c_member_001t__Set__Oset_It__Set__Oset_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member1475136633real_n:(set_se2111327970real_n->(set_se820660888real_n->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f710>, <kernel.DependentProduct object at 0x2b551b72f950>) of role type named sy_c_member_001t__Sigma____Algebra__Omeasure_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring member1000184real_n:(sigma_1466784463real_n->(set_Si1125517487real_n->Prop))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72fa70>, <kernel.DependentProduct object at 0x2b551b72fab8>) of role type named sy_v_R____
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring r:(finite964658038_int_n->set_Fi1058188332real_n)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72fb00>, <kernel.Constant object at 0x2b551b72fab8>) of role type named sy_v_S
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring s:set_Fi1058188332real_n
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72f710>, <kernel.DependentProduct object at 0x2b551b72fbd8>) of role type named sy_v_T_H____
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring t:(finite964658038_int_n->set_Fi1058188332real_n)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72fb48>, <kernel.DependentProduct object at 0x2b551b72fc20>) of role type named sy_v_T____
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring t2:(finite964658038_int_n->set_Fi1058188332real_n)
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2b551b72fab8>, <kernel.DependentProduct object at 0x2b551b72fc68>) of role type named sy_v_f____
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring f:(nat->finite964658038_int_n)
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n), (((eq extend1728876344nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t A))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 A)))) of role axiom named fact_0_emeasure__T_H
% 0.48/0.66 A new axiom: (forall (A:finite964658038_int_n), (((eq extend1728876344nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t A))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 A))))
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n), ((member223413699real_n (t A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))) of role axiom named fact_1__092_060open_062_092_060And_062a_O_AT_H_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062
% 0.48/0.66 A new axiom: (forall (A:finite964658038_int_n), ((member223413699real_n (t A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n))))
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n), ((member223413699real_n (t2 A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))) of role axiom named fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062
% 0.48/0.66 A new axiom: (forall (A:finite964658038_int_n), ((member223413699real_n (t2 A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n))))
% 0.48/0.66 FOF formula ((sums_E1192373732nnreal (fun (N:nat)=> ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 (f N))))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) s)) of role axiom named fact_3_calculation
% 0.48/0.66 A new axiom: ((sums_E1192373732nnreal (fun (N:nat)=> ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 (f N))))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) s))
% 0.48/0.66 FOF formula ((member223413699real_n s) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n))) of role axiom named fact_4_assms_I1_J
% 0.48/0.66 A new axiom: ((member223413699real_n s) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) ((inf_in1974387902real_n (t2 A)) (t2 B)))) zero_z1963244097nnreal))) of role axiom named fact_5_emeasure__T__Int
% 0.48/0.66 A new axiom: (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) ((inf_in1974387902real_n (t2 A)) (t2 B)))) zero_z1963244097nnreal)))
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->((member223413699real_n ((inf_in1974387902real_n (t2 A)) (t2 B))) (measur1402256771real_n (comple230862828real_n lebesg260170249real_n))))) of role axiom named fact_6_T__Int
% 0.48/0.66 A new axiom: (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->((member223413699real_n ((inf_in1974387902real_n (t2 A)) (t2 B))) (measur1402256771real_n (comple230862828real_n lebesg260170249real_n)))))
% 0.48/0.66 FOF formula ((ord_le2133614988nnreal one_on705384445nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) s)) of role axiom named fact_7_assms_I2_J
% 0.48/0.66 A new axiom: ((ord_le2133614988nnreal one_on705384445nnreal) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) s))
% 0.48/0.66 FOF formula (forall (A:finite964658038_int_n), ((member223413699real_n (r A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))) of role axiom named fact_8__092_060open_062_092_060And_062a_O_AR_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062
% 0.48/0.67 A new axiom: (forall (A:finite964658038_int_n), ((member223413699real_n (r A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n))))
% 0.48/0.67 FOF formula ((sums_E1192373732nnreal (fun (N:nat)=> ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 (f N))))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (comple825005695real_n ((image_1856576259real_n (fun (N:nat)=> (t2 (f N)))) top_top_set_nat)))) of role axiom named fact_9__092_060open_062_I_092_060lambda_062n_O_Aemeasure_Alebesgue_A_IT_A_If_An_J_J_J_Asums_Aemeasure_Alebesgue_A_I_092_060Union_062n_O_AT_A_If_An_J_J_092_060close_062
% 0.48/0.67 A new axiom: ((sums_E1192373732nnreal (fun (N:nat)=> ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (t2 (f N))))) ((sigma_1536574303real_n (comple230862828real_n lebesg260170249real_n)) (comple825005695real_n ((image_1856576259real_n (fun (N:nat)=> (t2 (f N)))) top_top_set_nat))))
% 0.48/0.67 FOF formula (((eq (finite964658038_int_n->set_Fi1058188332real_n)) t) (fun (A2:finite964658038_int_n)=> ((image_439535603real_n (fun (X:finite1489363574real_n)=> ((minus_1037315151real_n X) (minkow1134813771n_real A2)))) (t2 A2)))) of role axiom named fact_10_T_H__def
% 0.48/0.67 A new axiom: (((eq (finite964658038_int_n->set_Fi1058188332real_n)) t) (fun (A2:finite964658038_int_n)=> ((image_439535603real_n (fun (X:finite1489363574real_n)=> ((minus_1037315151real_n X) (minkow1134813771n_real A2)))) (t2 A2))))
% 0.48/0.67 FOF formula (((eq (nat->finite964658038_int_n)) f) (counta1142393929_int_n top_to131672412_int_n)) of role axiom named fact_11_f__def
% 0.48/0.67 A new axiom: (((eq (nat->finite964658038_int_n)) f) (counta1142393929_int_n top_to131672412_int_n))
% 0.48/0.67 FOF formula (forall (A:finite964658038_int_n), (((eq set_Fi1058188332real_n) (t A)) ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> ((plus_p585657087real_n X) (minkow1134813771n_real A)))) (t2 A)))) of role axiom named fact_12_T_H__altdef
% 0.48/0.67 A new axiom: (forall (A:finite964658038_int_n), (((eq set_Fi1058188332real_n) (t A)) ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> ((plus_p585657087real_n X) (minkow1134813771n_real A)))) (t2 A))))
% 0.48/0.67 FOF formula (forall (A:finite964658038_int_n) (B:finite964658038_int_n), (((eq Prop) (((eq finite1489363574real_n) (minkow1134813771n_real A)) (minkow1134813771n_real B))) (((eq finite964658038_int_n) A) B))) of role axiom named fact_13_of__int__vec__eq__iff
% 0.48/0.67 A new axiom: (forall (A:finite964658038_int_n) (B:finite964658038_int_n), (((eq Prop) (((eq finite1489363574real_n) (minkow1134813771n_real A)) (minkow1134813771n_real B))) (((eq finite964658038_int_n) A) B)))
% 0.48/0.67 FOF formula (((eq (finite964658038_int_n->set_Fi1058188332real_n)) t2) (fun (A2:finite964658038_int_n)=> ((inf_in1974387902real_n s) (r A2)))) of role axiom named fact_14_T__def
% 0.48/0.67 A new axiom: (((eq (finite964658038_int_n->set_Fi1058188332real_n)) t2) (fun (A2:finite964658038_int_n)=> ((inf_in1974387902real_n s) (r A2))))
% 0.48/0.67 FOF formula (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->((member223413699real_n ((inf_in1974387902real_n (r A)) (r B))) (measur1402256771real_n (comple230862828real_n lebesg260170249real_n))))) of role axiom named fact_15_R__Int
% 0.48/0.67 A new axiom: (forall (A:finite964658038_int_n) (B:finite964658038_int_n), ((not (((eq finite964658038_int_n) A) B))->((member223413699real_n ((inf_in1974387902real_n (r A)) (r B))) (measur1402256771real_n (comple230862828real_n lebesg260170249real_n)))))
% 0.48/0.67 FOF formula (forall (B2:(nat->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (X2:nat), ((member223413699real_n (B2 X2)) (sigma_1235138647real_n M)))->((forall (X2:nat) (Y:nat), ((not (((eq nat) X2) Y))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n M) ((inf_in1974387902real_n (B2 X2)) (B2 Y)))) zero_z1963244097nnreal)))->((sums_E1192373732nnreal (fun (X:nat)=> ((sigma_1536574303real_n M) (B2 X)))) ((sigma_1536574303real_n M) (comple825005695real_n ((image_1856576259real_n B2) top_top_set_nat))))))) of role axiom named fact_16_sums__emeasure_H
% 0.48/0.68 A new axiom: (forall (B2:(nat->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (X2:nat), ((member223413699real_n (B2 X2)) (sigma_1235138647real_n M)))->((forall (X2:nat) (Y:nat), ((not (((eq nat) X2) Y))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n M) ((inf_in1974387902real_n (B2 X2)) (B2 Y)))) zero_z1963244097nnreal)))->((sums_E1192373732nnreal (fun (X:nat)=> ((sigma_1536574303real_n M) (B2 X)))) ((sigma_1536574303real_n M) (comple825005695real_n ((image_1856576259real_n B2) top_top_set_nat)))))))
% 0.48/0.68 FOF formula (forall (N2:(nat->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (_TPTP_I:nat), ((member223413699real_n (N2 _TPTP_I)) (measur1402256771real_n M)))->((member223413699real_n (comple825005695real_n ((image_1856576259real_n N2) top_top_set_nat))) (measur1402256771real_n M)))) of role axiom named fact_17_null__sets__UN
% 0.48/0.68 A new axiom: (forall (N2:(nat->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (_TPTP_I:nat), ((member223413699real_n (N2 _TPTP_I)) (measur1402256771real_n M)))->((member223413699real_n (comple825005695real_n ((image_1856576259real_n N2) top_top_set_nat))) (measur1402256771real_n M))))
% 0.48/0.68 FOF formula (forall (N2:(finite964658038_int_n->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (_TPTP_I:finite964658038_int_n), ((member223413699real_n (N2 _TPTP_I)) (measur1402256771real_n M)))->((member223413699real_n (comple825005695real_n ((image_355963305real_n N2) top_to131672412_int_n))) (measur1402256771real_n M)))) of role axiom named fact_18_null__sets__UN
% 0.48/0.68 A new axiom: (forall (N2:(finite964658038_int_n->set_Fi1058188332real_n)) (M:sigma_1466784463real_n), ((forall (_TPTP_I:finite964658038_int_n), ((member223413699real_n (N2 _TPTP_I)) (measur1402256771real_n M)))->((member223413699real_n (comple825005695real_n ((image_355963305real_n N2) top_to131672412_int_n))) (measur1402256771real_n M))))
% 0.48/0.68 FOF formula (forall (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), ((((eq extend1728876344nnreal) ((sigma_1536574303real_n M) A3)) zero_z1963244097nnreal)->(((member223413699real_n A3) (sigma_1235138647real_n M))->((member223413699real_n A3) (measur1402256771real_n M))))) of role axiom named fact_19_null__setsI
% 0.48/0.68 A new axiom: (forall (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), ((((eq extend1728876344nnreal) ((sigma_1536574303real_n M) A3)) zero_z1963244097nnreal)->(((member223413699real_n A3) (sigma_1235138647real_n M))->((member223413699real_n A3) (measur1402256771real_n M)))))
% 0.48/0.68 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n F) ((vimage1233683625real_n F) A3))) ((inf_in1974387902real_n A3) ((image_439535603real_n F) top_to1292442332real_n)))) of role axiom named fact_20_image__vimage__eq
% 0.48/0.68 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n F) ((vimage1233683625real_n F) A3))) ((inf_in1974387902real_n A3) ((image_439535603real_n F) top_to1292442332real_n))))
% 0.48/0.68 FOF formula (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) ((image_1856576259real_n F) ((vimage3210681real_n F) A3))) ((inf_in632889204real_n A3) ((image_1856576259real_n F) top_top_set_nat)))) of role axiom named fact_21_image__vimage__eq
% 0.48/0.68 A new axiom: (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) ((image_1856576259real_n F) ((vimage3210681real_n F) A3))) ((inf_in632889204real_n A3) ((image_1856576259real_n F) top_top_set_nat))))
% 0.48/0.68 FOF formula (forall (F:(nat->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_183184717real_n F) ((vimage1860757507real_n F) A3))) ((inf_in1974387902real_n A3) ((image_183184717real_n F) top_top_set_nat)))) of role axiom named fact_22_image__vimage__eq
% 0.48/0.68 A new axiom: (forall (F:(nat->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_183184717real_n F) ((vimage1860757507real_n F) A3))) ((inf_in1974387902real_n A3) ((image_183184717real_n F) top_top_set_nat))))
% 0.48/0.69 FOF formula (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) ((image_355963305real_n F) ((vimage464515423real_n F) A3))) ((inf_in632889204real_n A3) ((image_355963305real_n F) top_to131672412_int_n)))) of role axiom named fact_23_image__vimage__eq
% 0.48/0.69 A new axiom: (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) ((image_355963305real_n F) ((vimage464515423real_n F) A3))) ((inf_in632889204real_n A3) ((image_355963305real_n F) top_to131672412_int_n))))
% 0.48/0.69 FOF formula (forall (F:(finite964658038_int_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_2058828787real_n F) ((vimage1276736425real_n F) A3))) ((inf_in1974387902real_n A3) ((image_2058828787real_n F) top_to131672412_int_n)))) of role axiom named fact_24_image__vimage__eq
% 0.48/0.69 A new axiom: (forall (F:(finite964658038_int_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_2058828787real_n F) ((vimage1276736425real_n F) A3))) ((inf_in1974387902real_n A3) ((image_2058828787real_n F) top_to131672412_int_n))))
% 0.48/0.69 FOF formula (forall (A:finite964658038_int_n), (((member223413699real_n (t2 A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))->((member223413699real_n ((inf_in1974387902real_n ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> ((plus_p585657087real_n X) (minkow1134813771n_real A)))) (t2 A))) (sigma_476185326real_n (comple230862828real_n lebesg260170249real_n)))) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n))))) of role axiom named fact_25__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062
% 0.48/0.69 A new axiom: (forall (A:finite964658038_int_n), (((member223413699real_n (t2 A)) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))->((member223413699real_n ((inf_in1974387902real_n ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> ((plus_p585657087real_n X) (minkow1134813771n_real A)))) (t2 A))) (sigma_476185326real_n (comple230862828real_n lebesg260170249real_n)))) (sigma_1235138647real_n (comple230862828real_n lebesg260170249real_n)))))
% 0.48/0.69 FOF formula (forall (A:finite964658038_int_n), (((eq set_Fi160064172_int_n) ((image_1278151539_int_n (fun (X:finite964658038_int_n)=> ((minus_1196255695_int_n X) A))) top_to131672412_int_n)) top_to131672412_int_n)) of role axiom named fact_26_surj__diff__right
% 0.48/0.69 A new axiom: (forall (A:finite964658038_int_n), (((eq set_Fi160064172_int_n) ((image_1278151539_int_n (fun (X:finite964658038_int_n)=> ((minus_1196255695_int_n X) A))) top_to131672412_int_n)) top_to131672412_int_n))
% 0.48/0.69 FOF formula (forall (A:finite1489363574real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (fun (X:finite1489363574real_n)=> ((minus_1037315151real_n X) A))) top_to1292442332real_n)) top_to1292442332real_n)) of role axiom named fact_27_surj__diff__right
% 0.48/0.69 A new axiom: (forall (A:finite1489363574real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (fun (X:finite1489363574real_n)=> ((minus_1037315151real_n X) A))) top_to1292442332real_n)) top_to1292442332real_n))
% 0.48/0.69 FOF formula (((eq set_Fi1058188332real_n) (comple825005695real_n ((image_355963305real_n t2) top_to131672412_int_n))) (comple825005695real_n ((image_1856576259real_n (fun (N:nat)=> (t2 (f N)))) top_top_set_nat))) of role axiom named fact_28__092_060open_062_092_060Union_062_A_Irange_AT_J_A_061_A_I_092_060Union_062n_O_AT_A_If_An_J_J_092_060close_062
% 0.48/0.69 A new axiom: (((eq set_Fi1058188332real_n) (comple825005695real_n ((image_355963305real_n t2) top_to131672412_int_n))) (comple825005695real_n ((image_1856576259real_n (fun (N:nat)=> (t2 (f N)))) top_top_set_nat)))
% 0.48/0.69 FOF formula (((eq set_nat) (comple1682161881et_nat top_top_set_set_nat)) top_top_set_nat) of role axiom named fact_29_Sup__UNIV
% 0.48/0.70 A new axiom: (((eq set_nat) (comple1682161881et_nat top_top_set_set_nat)) top_top_set_nat)
% 0.48/0.70 FOF formula (((eq set_Fi160064172_int_n) (comple970917503_int_n top_to1587634578_int_n)) top_to131672412_int_n) of role axiom named fact_30_Sup__UNIV
% 0.48/0.70 A new axiom: (((eq set_Fi160064172_int_n) (comple970917503_int_n top_to1587634578_int_n)) top_to131672412_int_n)
% 0.48/0.70 FOF formula (((eq set_Fi1058188332real_n) (comple825005695real_n top_to20708754real_n)) top_to1292442332real_n) of role axiom named fact_31_Sup__UNIV
% 0.48/0.70 A new axiom: (((eq set_Fi1058188332real_n) (comple825005695real_n top_to20708754real_n)) top_to1292442332real_n)
% 0.48/0.70 FOF formula (((eq Prop) (complete_Sup_Sup_o top_top_set_o)) top_top_o) of role axiom named fact_32_Sup__UNIV
% 0.48/0.70 A new axiom: (((eq Prop) (complete_Sup_Sup_o top_top_set_o)) top_top_o)
% 0.48/0.70 FOF formula (forall (A3:set_Ex113815278nnreal), (((eq Prop) (((eq extend1728876344nnreal) (comple1413366923nnreal A3)) top_to1845833192nnreal)) (forall (X:extend1728876344nnreal), (((ord_le2133614988nnreal X) top_to1845833192nnreal)->((ex extend1728876344nnreal) (fun (Y2:extend1728876344nnreal)=> ((and ((member1217042383nnreal Y2) A3)) ((ord_le2133614988nnreal X) Y2)))))))) of role axiom named fact_33_Sup__eq__top__iff
% 0.48/0.70 A new axiom: (forall (A3:set_Ex113815278nnreal), (((eq Prop) (((eq extend1728876344nnreal) (comple1413366923nnreal A3)) top_to1845833192nnreal)) (forall (X:extend1728876344nnreal), (((ord_le2133614988nnreal X) top_to1845833192nnreal)->((ex extend1728876344nnreal) (fun (Y2:extend1728876344nnreal)=> ((and ((member1217042383nnreal Y2) A3)) ((ord_le2133614988nnreal X) Y2))))))))
% 0.48/0.70 FOF formula (forall (A:finite1489363574real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n A)) top_to1292442332real_n)) top_to1292442332real_n)) of role axiom named fact_34_surj__plus
% 0.48/0.70 A new axiom: (forall (A:finite1489363574real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n A)) top_to1292442332real_n)) top_to1292442332real_n))
% 0.48/0.70 FOF formula (forall (A:finite964658038_int_n), (((eq set_Fi160064172_int_n) ((image_1278151539_int_n (plus_p1654784127_int_n A)) top_to131672412_int_n)) top_to131672412_int_n)) of role axiom named fact_35_surj__plus
% 0.48/0.70 A new axiom: (forall (A:finite964658038_int_n), (((eq set_Fi160064172_int_n) ((image_1278151539_int_n (plus_p1654784127_int_n A)) top_to131672412_int_n)) top_to131672412_int_n))
% 0.48/0.70 FOF formula (((eq finite1489363574real_n) ((minus_1037315151real_n one_on1253059131real_n) one_on1253059131real_n)) zero_z200130687real_n) of role axiom named fact_36_diff__numeral__special_I9_J
% 0.48/0.70 A new axiom: (((eq finite1489363574real_n) ((minus_1037315151real_n one_on1253059131real_n) one_on1253059131real_n)) zero_z200130687real_n)
% 0.48/0.70 FOF formula (forall (B:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n), ((((eq finite1489363574real_n) B) (F X3))->(((member1352538125real_n X3) A3)->((member1352538125real_n B) ((image_439535603real_n F) A3))))) of role axiom named fact_37_image__eqI
% 0.48/0.70 A new axiom: (forall (B:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n), ((((eq finite1489363574real_n) B) (F X3))->(((member1352538125real_n X3) A3)->((member1352538125real_n B) ((image_439535603real_n F) A3)))))
% 0.48/0.70 FOF formula (forall (B:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)) (X3:nat) (A3:set_nat), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member_nat X3) A3)->((member223413699real_n B) ((image_1856576259real_n F) A3))))) of role axiom named fact_38_image__eqI
% 0.48/0.70 A new axiom: (forall (B:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)) (X3:nat) (A3:set_nat), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member_nat X3) A3)->((member223413699real_n B) ((image_1856576259real_n F) A3)))))
% 0.48/0.70 FOF formula (forall (B:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member27055245_int_n X3) A3)->((member223413699real_n B) ((image_355963305real_n F) A3))))) of role axiom named fact_39_image__eqI
% 0.48/0.71 A new axiom: (forall (B:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member27055245_int_n X3) A3)->((member223413699real_n B) ((image_355963305real_n F) A3)))))
% 0.48/0.71 FOF formula (forall (B:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member223413699real_n X3) A3)->((member223413699real_n B) ((image_1661509983real_n F) A3))))) of role axiom named fact_40_image__eqI
% 0.48/0.71 A new axiom: (forall (B:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member223413699real_n X3) A3)->((member223413699real_n B) ((image_1661509983real_n F) A3)))))
% 0.48/0.71 FOF formula (forall (B:Prop) (F:(set_Fi1058188332real_n->Prop)) (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n), ((((eq Prop) B) (F X3))->(((member223413699real_n X3) A3)->((member_o B) ((image_1648361637al_n_o F) A3))))) of role axiom named fact_41_image__eqI
% 0.48/0.71 A new axiom: (forall (B:Prop) (F:(set_Fi1058188332real_n->Prop)) (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n), ((((eq Prop) B) (F X3))->(((member223413699real_n X3) A3)->((member_o B) ((image_1648361637al_n_o F) A3)))))
% 0.48/0.71 FOF formula (forall (B:set_Fi1058188332real_n) (F:(Prop->set_Fi1058188332real_n)) (X3:Prop) (A3:set_o), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member_o X3) A3)->((member223413699real_n B) ((image_1759008383real_n F) A3))))) of role axiom named fact_42_image__eqI
% 0.48/0.71 A new axiom: (forall (B:set_Fi1058188332real_n) (F:(Prop->set_Fi1058188332real_n)) (X3:Prop) (A3:set_o), ((((eq set_Fi1058188332real_n) B) (F X3))->(((member_o X3) A3)->((member223413699real_n B) ((image_1759008383real_n F) A3)))))
% 0.48/0.71 FOF formula (forall (B:Prop) (F:(Prop->Prop)) (X3:Prop) (A3:set_o), ((((eq Prop) B) (F X3))->(((member_o X3) A3)->((member_o B) ((image_o_o F) A3))))) of role axiom named fact_43_image__eqI
% 0.48/0.71 A new axiom: (forall (B:Prop) (F:(Prop->Prop)) (X3:Prop) (A3:set_o), ((((eq Prop) B) (F X3))->(((member_o X3) A3)->((member_o B) ((image_o_o F) A3)))))
% 0.48/0.71 FOF formula (forall (X3:set_Fi1058188332real_n), ((member223413699real_n X3) top_to20708754real_n)) of role axiom named fact_44_UNIV__I
% 0.48/0.71 A new axiom: (forall (X3:set_Fi1058188332real_n), ((member223413699real_n X3) top_to20708754real_n))
% 0.48/0.71 FOF formula (forall (X3:Prop), ((member_o X3) top_top_set_o)) of role axiom named fact_45_UNIV__I
% 0.48/0.71 A new axiom: (forall (X3:Prop), ((member_o X3) top_top_set_o))
% 0.48/0.71 FOF formula (forall (X3:nat), ((member_nat X3) top_top_set_nat)) of role axiom named fact_46_UNIV__I
% 0.48/0.71 A new axiom: (forall (X3:nat), ((member_nat X3) top_top_set_nat))
% 0.48/0.71 FOF formula (forall (X3:finite964658038_int_n), ((member27055245_int_n X3) top_to131672412_int_n)) of role axiom named fact_47_UNIV__I
% 0.48/0.71 A new axiom: (forall (X3:finite964658038_int_n), ((member27055245_int_n X3) top_to131672412_int_n))
% 0.48/0.71 FOF formula (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((eq Prop) ((member223413699real_n C) ((inf_in632889204real_n A3) B2))) ((and ((member223413699real_n C) A3)) ((member223413699real_n C) B2)))) of role axiom named fact_48_Int__iff
% 0.48/0.71 A new axiom: (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((eq Prop) ((member223413699real_n C) ((inf_in632889204real_n A3) B2))) ((and ((member223413699real_n C) A3)) ((member223413699real_n C) B2))))
% 0.48/0.71 FOF formula (forall (C:Prop) (A3:set_o) (B2:set_o), (((eq Prop) ((member_o C) ((inf_inf_set_o A3) B2))) ((and ((member_o C) A3)) ((member_o C) B2)))) of role axiom named fact_49_Int__iff
% 0.48/0.71 A new axiom: (forall (C:Prop) (A3:set_o) (B2:set_o), (((eq Prop) ((member_o C) ((inf_inf_set_o A3) B2))) ((and ((member_o C) A3)) ((member_o C) B2))))
% 0.55/0.72 FOF formula (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))) ((and ((member1352538125real_n C) A3)) ((member1352538125real_n C) B2)))) of role axiom named fact_50_Int__iff
% 0.55/0.72 A new axiom: (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))) ((and ((member1352538125real_n C) A3)) ((member1352538125real_n C) B2))))
% 0.55/0.72 FOF formula (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) A3)->(((member223413699real_n C) B2)->((member223413699real_n C) ((inf_in632889204real_n A3) B2))))) of role axiom named fact_51_IntI
% 0.55/0.72 A new axiom: (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) A3)->(((member223413699real_n C) B2)->((member223413699real_n C) ((inf_in632889204real_n A3) B2)))))
% 0.55/0.72 FOF formula (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) A3)->(((member_o C) B2)->((member_o C) ((inf_inf_set_o A3) B2))))) of role axiom named fact_52_IntI
% 0.55/0.72 A new axiom: (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) A3)->(((member_o C) B2)->((member_o C) ((inf_inf_set_o A3) B2)))))
% 0.55/0.72 FOF formula (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) A3)->(((member1352538125real_n C) B2)->((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))))) of role axiom named fact_53_IntI
% 0.55/0.72 A new axiom: (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) A3)->(((member1352538125real_n C) B2)->((member1352538125real_n C) ((inf_in1974387902real_n A3) B2)))))
% 0.55/0.72 FOF formula (forall (A3:set_Fi1058188332real_n) (C2:set_se820660888real_n), (((eq Prop) ((member223413699real_n A3) (comple1917283637real_n C2))) ((ex set_se2111327970real_n) (fun (X:set_se2111327970real_n)=> ((and ((member1475136633real_n X) C2)) ((member223413699real_n A3) X)))))) of role axiom named fact_54_Union__iff
% 0.55/0.72 A new axiom: (forall (A3:set_Fi1058188332real_n) (C2:set_se820660888real_n), (((eq Prop) ((member223413699real_n A3) (comple1917283637real_n C2))) ((ex set_se2111327970real_n) (fun (X:set_se2111327970real_n)=> ((and ((member1475136633real_n X) C2)) ((member223413699real_n A3) X))))))
% 0.55/0.72 FOF formula (forall (A3:Prop) (C2:set_set_o), (((eq Prop) ((member_o A3) (comple1665300069_set_o C2))) ((ex set_o) (fun (X:set_o)=> ((and ((member_set_o X) C2)) ((member_o A3) X)))))) of role axiom named fact_55_Union__iff
% 0.55/0.72 A new axiom: (forall (A3:Prop) (C2:set_set_o), (((eq Prop) ((member_o A3) (comple1665300069_set_o C2))) ((ex set_o) (fun (X:set_o)=> ((and ((member_set_o X) C2)) ((member_o A3) X))))))
% 0.55/0.72 FOF formula (forall (A3:finite1489363574real_n) (C2:set_se2111327970real_n), (((eq Prop) ((member1352538125real_n A3) (comple825005695real_n C2))) ((ex set_Fi1058188332real_n) (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) C2)) ((member1352538125real_n A3) X)))))) of role axiom named fact_56_Union__iff
% 0.55/0.72 A new axiom: (forall (A3:finite1489363574real_n) (C2:set_se2111327970real_n), (((eq Prop) ((member1352538125real_n A3) (comple825005695real_n C2))) ((ex set_Fi1058188332real_n) (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) C2)) ((member1352538125real_n A3) X))))))
% 0.55/0.72 FOF formula (forall (X4:set_se2111327970real_n) (C2:set_se820660888real_n) (A3:set_Fi1058188332real_n), (((member1475136633real_n X4) C2)->(((member223413699real_n A3) X4)->((member223413699real_n A3) (comple1917283637real_n C2))))) of role axiom named fact_57_UnionI
% 0.55/0.72 A new axiom: (forall (X4:set_se2111327970real_n) (C2:set_se820660888real_n) (A3:set_Fi1058188332real_n), (((member1475136633real_n X4) C2)->(((member223413699real_n A3) X4)->((member223413699real_n A3) (comple1917283637real_n C2)))))
% 0.55/0.72 FOF formula (forall (X4:set_o) (C2:set_set_o) (A3:Prop), (((member_set_o X4) C2)->(((member_o A3) X4)->((member_o A3) (comple1665300069_set_o C2))))) of role axiom named fact_58_UnionI
% 0.55/0.73 A new axiom: (forall (X4:set_o) (C2:set_set_o) (A3:Prop), (((member_set_o X4) C2)->(((member_o A3) X4)->((member_o A3) (comple1665300069_set_o C2)))))
% 0.55/0.73 FOF formula (forall (X4:set_Fi1058188332real_n) (C2:set_se2111327970real_n) (A3:finite1489363574real_n), (((member223413699real_n X4) C2)->(((member1352538125real_n A3) X4)->((member1352538125real_n A3) (comple825005695real_n C2))))) of role axiom named fact_59_UnionI
% 0.55/0.73 A new axiom: (forall (X4:set_Fi1058188332real_n) (C2:set_se2111327970real_n) (A3:finite1489363574real_n), (((member223413699real_n X4) C2)->(((member1352538125real_n A3) X4)->((member1352538125real_n A3) (comple825005695real_n C2)))))
% 0.55/0.73 FOF formula (forall (A3:set_se2111327970real_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n A3))->(P X)))) (forall (X:set_Fi1058188332real_n), (((member223413699real_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) X)->(P Y2))))))) of role axiom named fact_60_UN__ball__bex__simps_I1_J
% 0.55/0.73 A new axiom: (forall (A3:set_se2111327970real_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n A3))->(P X)))) (forall (X:set_Fi1058188332real_n), (((member223413699real_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) X)->(P Y2)))))))
% 0.55/0.73 FOF formula (forall (A3:set_se2111327970real_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n A3))) (P X))))) ((ex set_Fi1058188332real_n) (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) X)) (P Y2))))))))) of role axiom named fact_61_UN__ball__bex__simps_I3_J
% 0.55/0.73 A new axiom: (forall (A3:set_se2111327970real_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n A3))) (P X))))) ((ex set_Fi1058188332real_n) (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) X)) (P Y2)))))))))
% 0.55/0.73 FOF formula (forall (A:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (B:set_Fi1058188332real_n), (((member223413699real_n A) (measur1402256771real_n M))->(((member223413699real_n B) (measur1402256771real_n M))->((member223413699real_n ((minus_1686442501real_n A) B)) (measur1402256771real_n M))))) of role axiom named fact_62_null__sets_ODiff
% 0.55/0.73 A new axiom: (forall (A:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (B:set_Fi1058188332real_n), (((member223413699real_n A) (measur1402256771real_n M))->(((member223413699real_n B) (measur1402256771real_n M))->((member223413699real_n ((minus_1686442501real_n A) B)) (measur1402256771real_n M)))))
% 0.55/0.73 FOF formula (forall (A:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (B2:set_se2111327970real_n), (((eq Prop) ((member223413699real_n A) ((vimage784510485real_n F) B2))) ((member223413699real_n (F A)) B2))) of role axiom named fact_63_vimage__eq
% 0.55/0.73 A new axiom: (forall (A:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (B2:set_se2111327970real_n), (((eq Prop) ((member223413699real_n A) ((vimage784510485real_n F) B2))) ((member223413699real_n (F A)) B2)))
% 0.55/0.73 FOF formula (forall (A:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->Prop)) (B2:set_o), (((eq Prop) ((member223413699real_n A) ((vimage851190895al_n_o F) B2))) ((member_o (F A)) B2))) of role axiom named fact_64_vimage__eq
% 0.55/0.73 A new axiom: (forall (A:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->Prop)) (B2:set_o), (((eq Prop) ((member223413699real_n A) ((vimage851190895al_n_o F) B2))) ((member_o (F A)) B2)))
% 0.55/0.73 FOF formula (forall (A:Prop) (F:(Prop->set_Fi1058188332real_n)) (B2:set_se2111327970real_n), (((eq Prop) ((member_o A) ((vimage961837641real_n F) B2))) ((member223413699real_n (F A)) B2))) of role axiom named fact_65_vimage__eq
% 0.55/0.74 A new axiom: (forall (A:Prop) (F:(Prop->set_Fi1058188332real_n)) (B2:set_se2111327970real_n), (((eq Prop) ((member_o A) ((vimage961837641real_n F) B2))) ((member223413699real_n (F A)) B2)))
% 0.55/0.74 FOF formula (forall (A:Prop) (F:(Prop->Prop)) (B2:set_o), (((eq Prop) ((member_o A) ((vimage_o_o F) B2))) ((member_o (F A)) B2))) of role axiom named fact_66_vimage__eq
% 0.55/0.74 A new axiom: (forall (A:Prop) (F:(Prop->Prop)) (B2:set_o), (((eq Prop) ((member_o A) ((vimage_o_o F) B2))) ((member_o (F A)) B2)))
% 0.55/0.74 FOF formula (forall (A:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (B2:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n A) ((vimage1233683625real_n F) B2))) ((member1352538125real_n (F A)) B2))) of role axiom named fact_67_vimage__eq
% 0.55/0.74 A new axiom: (forall (A:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (B2:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n A) ((vimage1233683625real_n F) B2))) ((member1352538125real_n (F A)) B2)))
% 0.55/0.74 FOF formula (forall (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (A:set_Fi1058188332real_n) (B:set_Fi1058188332real_n) (B2:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) (F A)) B)->(((member223413699real_n B) B2)->((member223413699real_n A) ((vimage784510485real_n F) B2))))) of role axiom named fact_68_vimageI
% 0.55/0.74 A new axiom: (forall (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)) (A:set_Fi1058188332real_n) (B:set_Fi1058188332real_n) (B2:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) (F A)) B)->(((member223413699real_n B) B2)->((member223413699real_n A) ((vimage784510485real_n F) B2)))))
% 0.55/0.74 FOF formula (forall (F:(Prop->set_Fi1058188332real_n)) (A:Prop) (B:set_Fi1058188332real_n) (B2:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) (F A)) B)->(((member223413699real_n B) B2)->((member_o A) ((vimage961837641real_n F) B2))))) of role axiom named fact_69_vimageI
% 0.55/0.74 A new axiom: (forall (F:(Prop->set_Fi1058188332real_n)) (A:Prop) (B:set_Fi1058188332real_n) (B2:set_se2111327970real_n), ((((eq set_Fi1058188332real_n) (F A)) B)->(((member223413699real_n B) B2)->((member_o A) ((vimage961837641real_n F) B2)))))
% 0.55/0.74 FOF formula (forall (F:(set_Fi1058188332real_n->Prop)) (A:set_Fi1058188332real_n) (B:Prop) (B2:set_o), ((((eq Prop) (F A)) B)->(((member_o B) B2)->((member223413699real_n A) ((vimage851190895al_n_o F) B2))))) of role axiom named fact_70_vimageI
% 0.55/0.74 A new axiom: (forall (F:(set_Fi1058188332real_n->Prop)) (A:set_Fi1058188332real_n) (B:Prop) (B2:set_o), ((((eq Prop) (F A)) B)->(((member_o B) B2)->((member223413699real_n A) ((vimage851190895al_n_o F) B2)))))
% 0.55/0.74 FOF formula (forall (F:(Prop->Prop)) (A:Prop) (B:Prop) (B2:set_o), ((((eq Prop) (F A)) B)->(((member_o B) B2)->((member_o A) ((vimage_o_o F) B2))))) of role axiom named fact_71_vimageI
% 0.55/0.74 A new axiom: (forall (F:(Prop->Prop)) (A:Prop) (B:Prop) (B2:set_o), ((((eq Prop) (F A)) B)->(((member_o B) B2)->((member_o A) ((vimage_o_o F) B2)))))
% 0.55/0.74 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A:finite1489363574real_n) (B:finite1489363574real_n) (B2:set_Fi1058188332real_n), ((((eq finite1489363574real_n) (F A)) B)->(((member1352538125real_n B) B2)->((member1352538125real_n A) ((vimage1233683625real_n F) B2))))) of role axiom named fact_72_vimageI
% 0.55/0.74 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A:finite1489363574real_n) (B:finite1489363574real_n) (B2:set_Fi1058188332real_n), ((((eq finite1489363574real_n) (F A)) B)->(((member1352538125real_n B) B2)->((member1352538125real_n A) ((vimage1233683625real_n F) B2)))))
% 0.55/0.74 FOF formula (forall (Y3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (fun (X:finite1489363574real_n)=> X)) Y3)) Y3)) of role axiom named fact_73_image__ident
% 0.55/0.74 A new axiom: (forall (Y3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (fun (X:finite1489363574real_n)=> X)) Y3)) Y3))
% 0.55/0.75 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (P:(finite1489363574real_n->Prop)), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) (collec321817931real_n P))) (collec321817931real_n (fun (Y2:finite1489363574real_n)=> (P (F Y2)))))) of role axiom named fact_74_vimage__Collect__eq
% 0.55/0.75 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (P:(finite1489363574real_n->Prop)), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) (collec321817931real_n P))) (collec321817931real_n (fun (Y2:finite1489363574real_n)=> (P (F Y2))))))
% 0.55/0.75 FOF formula (forall (Y3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> X)) Y3)) Y3)) of role axiom named fact_75_vimage__ident
% 0.55/0.75 A new axiom: (forall (Y3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n (fun (X:finite1489363574real_n)=> X)) Y3)) Y3))
% 0.55/0.75 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq Prop) (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) B2)) top_to1292442332real_n)) ((and (((eq set_Fi1058188332real_n) A3) top_to1292442332real_n)) (((eq set_Fi1058188332real_n) B2) top_to1292442332real_n)))) of role axiom named fact_76_Int__UNIV
% 0.55/0.75 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq Prop) (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) B2)) top_to1292442332real_n)) ((and (((eq set_Fi1058188332real_n) A3) top_to1292442332real_n)) (((eq set_Fi1058188332real_n) B2) top_to1292442332real_n))))
% 0.55/0.75 FOF formula (forall (A3:set_nat) (B2:set_nat), (((eq Prop) (((eq set_nat) ((inf_inf_set_nat A3) B2)) top_top_set_nat)) ((and (((eq set_nat) A3) top_top_set_nat)) (((eq set_nat) B2) top_top_set_nat)))) of role axiom named fact_77_Int__UNIV
% 0.55/0.75 A new axiom: (forall (A3:set_nat) (B2:set_nat), (((eq Prop) (((eq set_nat) ((inf_inf_set_nat A3) B2)) top_top_set_nat)) ((and (((eq set_nat) A3) top_top_set_nat)) (((eq set_nat) B2) top_top_set_nat))))
% 0.55/0.75 FOF formula (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n), (((eq Prop) (((eq set_Fi160064172_int_n) ((inf_in1108485182_int_n A3) B2)) top_to131672412_int_n)) ((and (((eq set_Fi160064172_int_n) A3) top_to131672412_int_n)) (((eq set_Fi160064172_int_n) B2) top_to131672412_int_n)))) of role axiom named fact_78_Int__UNIV
% 0.55/0.75 A new axiom: (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n), (((eq Prop) (((eq set_Fi160064172_int_n) ((inf_in1108485182_int_n A3) B2)) top_to131672412_int_n)) ((and (((eq set_Fi160064172_int_n) A3) top_to131672412_int_n)) (((eq set_Fi160064172_int_n) B2) top_to131672412_int_n))))
% 0.55/0.75 FOF formula (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))->(P X)))) (forall (X:nat), (((member_nat X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2))))))) of role axiom named fact_79_ball__UN
% 0.55/0.75 A new axiom: (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))->(P X)))) (forall (X:nat), (((member_nat X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2)))))))
% 0.55/0.75 FOF formula (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))->(P X)))) (forall (X:finite964658038_int_n), (((member27055245_int_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2))))))) of role axiom named fact_80_ball__UN
% 0.55/0.75 A new axiom: (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))->(P X)))) (forall (X:finite964658038_int_n), (((member27055245_int_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2)))))))
% 0.55/0.77 FOF formula (forall (A:set_Fi1058188332real_n) (P:(set_Fi1058188332real_n->Prop)), (((eq Prop) ((member223413699real_n A) (collec452821761real_n P))) (P A))) of role axiom named fact_81_mem__Collect__eq
% 0.55/0.77 A new axiom: (forall (A:set_Fi1058188332real_n) (P:(set_Fi1058188332real_n->Prop)), (((eq Prop) ((member223413699real_n A) (collec452821761real_n P))) (P A)))
% 0.55/0.77 FOF formula (forall (A:Prop) (P:(Prop->Prop)), (((eq Prop) ((member_o A) (collect_o P))) (P A))) of role axiom named fact_82_mem__Collect__eq
% 0.55/0.77 A new axiom: (forall (A:Prop) (P:(Prop->Prop)), (((eq Prop) ((member_o A) (collect_o P))) (P A)))
% 0.55/0.77 FOF formula (forall (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((member223413699real_n X) A3)))) A3)) of role axiom named fact_83_Collect__mem__eq
% 0.55/0.77 A new axiom: (forall (A3:set_se2111327970real_n), (((eq set_se2111327970real_n) (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((member223413699real_n X) A3)))) A3))
% 0.55/0.77 FOF formula (forall (A3:set_o), (((eq set_o) (collect_o (fun (X:Prop)=> ((member_o X) A3)))) A3)) of role axiom named fact_84_Collect__mem__eq
% 0.55/0.77 A new axiom: (forall (A3:set_o), (((eq set_o) (collect_o (fun (X:Prop)=> ((member_o X) A3)))) A3))
% 0.55/0.77 FOF formula (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))) (P X))))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2))))))))) of role axiom named fact_85_bex__UN
% 0.55/0.77 A new axiom: (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))) (P X))))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2)))))))))
% 0.55/0.77 FOF formula (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))) (P X))))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2))))))))) of role axiom named fact_86_bex__UN
% 0.55/0.77 A new axiom: (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))) (P X))))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2)))))))))
% 0.55/0.77 FOF formula (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))->(P X)))) (forall (X:nat), (((member_nat X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2))))))) of role axiom named fact_87_UN__ball__bex__simps_I2_J
% 0.55/0.77 A new axiom: (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))->(P X)))) (forall (X:nat), (((member_nat X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2)))))))
% 0.61/0.78 FOF formula (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))->(P X)))) (forall (X:finite964658038_int_n), (((member27055245_int_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2))))))) of role axiom named fact_88_UN__ball__bex__simps_I2_J
% 0.61/0.78 A new axiom: (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) (forall (X:finite1489363574real_n), (((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))->(P X)))) (forall (X:finite964658038_int_n), (((member27055245_int_n X) A3)->(forall (Y2:finite1489363574real_n), (((member1352538125real_n Y2) (B2 X))->(P Y2)))))))
% 0.61/0.78 FOF formula (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))) (P X))))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2))))))))) of role axiom named fact_89_UN__ball__bex__simps_I4_J
% 0.61/0.78 A new axiom: (forall (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_1856576259real_n B2) A3)))) (P X))))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2)))))))))
% 0.61/0.78 FOF formula (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))) (P X))))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2))))))))) of role axiom named fact_90_UN__ball__bex__simps_I4_J
% 0.61/0.78 A new axiom: (forall (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(finite1489363574real_n->Prop)), (((eq Prop) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (comple825005695real_n ((image_355963305real_n B2) A3)))) (P X))))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((ex finite1489363574real_n) (fun (Y2:finite1489363574real_n)=> ((and ((member1352538125real_n Y2) (B2 X))) (P Y2)))))))))
% 0.61/0.78 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) top_to1292442332real_n)) top_to1292442332real_n)) of role axiom named fact_91_vimage__UNIV
% 0.61/0.78 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) top_to1292442332real_n)) top_to1292442332real_n))
% 0.61/0.78 FOF formula (forall (F:(nat->nat)), (((eq set_nat) ((vimage_nat_nat F) top_top_set_nat)) top_top_set_nat)) of role axiom named fact_92_vimage__UNIV
% 0.61/0.78 A new axiom: (forall (F:(nat->nat)), (((eq set_nat) ((vimage_nat_nat F) top_top_set_nat)) top_top_set_nat))
% 0.61/0.78 FOF formula (forall (F:(finite964658038_int_n->nat)), (((eq set_Fi160064172_int_n) ((vimage1398021123_n_nat F) top_top_set_nat)) top_to131672412_int_n)) of role axiom named fact_93_vimage__UNIV
% 0.61/0.79 A new axiom: (forall (F:(finite964658038_int_n->nat)), (((eq set_Fi160064172_int_n) ((vimage1398021123_n_nat F) top_top_set_nat)) top_to131672412_int_n))
% 0.61/0.79 FOF formula (forall (F:(nat->finite964658038_int_n)), (((eq set_nat) ((vimage714719107_int_n F) top_to131672412_int_n)) top_top_set_nat)) of role axiom named fact_94_vimage__UNIV
% 0.61/0.79 A new axiom: (forall (F:(nat->finite964658038_int_n)), (((eq set_nat) ((vimage714719107_int_n F) top_to131672412_int_n)) top_top_set_nat))
% 0.61/0.79 FOF formula (forall (F:(finite964658038_int_n->finite964658038_int_n)), (((eq set_Fi160064172_int_n) ((vimage1122713129_int_n F) top_to131672412_int_n)) top_to131672412_int_n)) of role axiom named fact_95_vimage__UNIV
% 0.61/0.79 A new axiom: (forall (F:(finite964658038_int_n->finite964658038_int_n)), (((eq set_Fi160064172_int_n) ((vimage1122713129_int_n F) top_to131672412_int_n)) top_to131672412_int_n))
% 0.61/0.79 FOF formula (forall (A:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (B:set_Fi1058188332real_n), (((member223413699real_n A) (measur1402256771real_n M))->(((member223413699real_n B) (measur1402256771real_n M))->((member223413699real_n ((inf_in1974387902real_n A) B)) (measur1402256771real_n M))))) of role axiom named fact_96_null__sets_OInt
% 0.61/0.79 A new axiom: (forall (A:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (B:set_Fi1058188332real_n), (((member223413699real_n A) (measur1402256771real_n M))->(((member223413699real_n B) (measur1402256771real_n M))->((member223413699real_n ((inf_in1974387902real_n A) B)) (measur1402256771real_n M)))))
% 0.61/0.79 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) ((inf_in1974387902real_n A3) B2))) ((inf_in1974387902real_n ((vimage1233683625real_n F) A3)) ((vimage1233683625real_n F) B2)))) of role axiom named fact_97_vimage__Int
% 0.61/0.79 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) ((inf_in1974387902real_n A3) B2))) ((inf_in1974387902real_n ((vimage1233683625real_n F) A3)) ((vimage1233683625real_n F) B2))))
% 0.61/0.79 FOF formula (forall (A3:set_Fi1058188332real_n), (((eq finite1489363574real_n) (comple2042271945real_n ((image_439535603real_n (fun (X:finite1489363574real_n)=> X)) A3))) (comple2042271945real_n A3))) of role axiom named fact_98_SUP__identity__eq
% 0.61/0.79 A new axiom: (forall (A3:set_Fi1058188332real_n), (((eq finite1489363574real_n) (comple2042271945real_n ((image_439535603real_n (fun (X:finite1489363574real_n)=> X)) A3))) (comple2042271945real_n A3)))
% 0.61/0.79 FOF formula (forall (A3:set_se2111327970real_n), (((eq set_Fi1058188332real_n) (comple825005695real_n ((image_1661509983real_n (fun (X:set_Fi1058188332real_n)=> X)) A3))) (comple825005695real_n A3))) of role axiom named fact_99_SUP__identity__eq
% 0.61/0.79 A new axiom: (forall (A3:set_se2111327970real_n), (((eq set_Fi1058188332real_n) (comple825005695real_n ((image_1661509983real_n (fun (X:set_Fi1058188332real_n)=> X)) A3))) (comple825005695real_n A3)))
% 0.61/0.79 FOF formula (forall (A3:set_o), (((eq Prop) (complete_Sup_Sup_o ((image_o_o (fun (X:Prop)=> X)) A3))) (complete_Sup_Sup_o A3))) of role axiom named fact_100_SUP__identity__eq
% 0.61/0.79 A new axiom: (forall (A3:set_o), (((eq Prop) (complete_Sup_Sup_o ((image_o_o (fun (X:Prop)=> X)) A3))) (complete_Sup_Sup_o A3)))
% 0.61/0.79 FOF formula (forall (B:finite1489363574real_n) (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat), (((eq Prop) ((member1352538125real_n B) (comple825005695real_n ((image_1856576259real_n B2) A3)))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((member1352538125real_n B) (B2 X))))))) of role axiom named fact_101_UN__iff
% 0.61/0.79 A new axiom: (forall (B:finite1489363574real_n) (B2:(nat->set_Fi1058188332real_n)) (A3:set_nat), (((eq Prop) ((member1352538125real_n B) (comple825005695real_n ((image_1856576259real_n B2) A3)))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) ((member1352538125real_n B) (B2 X)))))))
% 0.61/0.79 FOF formula (forall (B:finite1489363574real_n) (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n), (((eq Prop) ((member1352538125real_n B) (comple825005695real_n ((image_355963305real_n B2) A3)))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((member1352538125real_n B) (B2 X))))))) of role axiom named fact_102_UN__iff
% 0.61/0.80 A new axiom: (forall (B:finite1489363574real_n) (B2:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n), (((eq Prop) ((member1352538125real_n B) (comple825005695real_n ((image_355963305real_n B2) A3)))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) ((member1352538125real_n B) (B2 X)))))))
% 0.61/0.80 FOF formula (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:set_Fi1058188332real_n) (B2:(set_Fi1058188332real_n->set_se2111327970real_n)), (((member223413699real_n A) A3)->(((member223413699real_n B) (B2 A))->((member223413699real_n B) (comple1917283637real_n ((image_797440021real_n B2) A3)))))) of role axiom named fact_103_UN__I
% 0.61/0.80 A new axiom: (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:set_Fi1058188332real_n) (B2:(set_Fi1058188332real_n->set_se2111327970real_n)), (((member223413699real_n A) A3)->(((member223413699real_n B) (B2 A))->((member223413699real_n B) (comple1917283637real_n ((image_797440021real_n B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:Prop) (B2:(set_Fi1058188332real_n->set_o)), (((member223413699real_n A) A3)->(((member_o B) (B2 A))->((member_o B) (comple1665300069_set_o ((image_1687589765_set_o B2) A3)))))) of role axiom named fact_104_UN__I
% 0.61/0.80 A new axiom: (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:Prop) (B2:(set_Fi1058188332real_n->set_o)), (((member223413699real_n A) A3)->(((member_o B) (B2 A))->((member_o B) (comple1665300069_set_o ((image_1687589765_set_o B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:Prop) (A3:set_o) (B:set_Fi1058188332real_n) (B2:(Prop->set_se2111327970real_n)), (((member_o A) A3)->(((member223413699real_n B) (B2 A))->((member223413699real_n B) (comple1917283637real_n ((image_452144437real_n B2) A3)))))) of role axiom named fact_105_UN__I
% 0.61/0.80 A new axiom: (forall (A:Prop) (A3:set_o) (B:set_Fi1058188332real_n) (B2:(Prop->set_se2111327970real_n)), (((member_o A) A3)->(((member223413699real_n B) (B2 A))->((member223413699real_n B) (comple1917283637real_n ((image_452144437real_n B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:Prop) (A3:set_o) (B:Prop) (B2:(Prop->set_o)), (((member_o A) A3)->(((member_o B) (B2 A))->((member_o B) (comple1665300069_set_o ((image_o_set_o B2) A3)))))) of role axiom named fact_106_UN__I
% 0.61/0.80 A new axiom: (forall (A:Prop) (A3:set_o) (B:Prop) (B2:(Prop->set_o)), (((member_o A) A3)->(((member_o B) (B2 A))->((member_o B) (comple1665300069_set_o ((image_o_set_o B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:nat) (A3:set_nat) (B:finite1489363574real_n) (B2:(nat->set_Fi1058188332real_n)), (((member_nat A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1856576259real_n B2) A3)))))) of role axiom named fact_107_UN__I
% 0.61/0.80 A new axiom: (forall (A:nat) (A3:set_nat) (B:finite1489363574real_n) (B2:(nat->set_Fi1058188332real_n)), (((member_nat A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1856576259real_n B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:finite964658038_int_n) (A3:set_Fi160064172_int_n) (B:finite1489363574real_n) (B2:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_355963305real_n B2) A3)))))) of role axiom named fact_108_UN__I
% 0.61/0.80 A new axiom: (forall (A:finite964658038_int_n) (A3:set_Fi160064172_int_n) (B:finite1489363574real_n) (B2:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_355963305real_n B2) A3))))))
% 0.61/0.80 FOF formula (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:finite1489363574real_n) (B2:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1661509983real_n B2) A3)))))) of role axiom named fact_109_UN__I
% 0.61/0.81 A new axiom: (forall (A:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:finite1489363574real_n) (B2:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1661509983real_n B2) A3))))))
% 0.61/0.81 FOF formula (forall (A:Prop) (A3:set_o) (B:finite1489363574real_n) (B2:(Prop->set_Fi1058188332real_n)), (((member_o A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1759008383real_n B2) A3)))))) of role axiom named fact_110_UN__I
% 0.61/0.81 A new axiom: (forall (A:Prop) (A3:set_o) (B:finite1489363574real_n) (B2:(Prop->set_Fi1058188332real_n)), (((member_o A) A3)->(((member1352538125real_n B) (B2 A))->((member1352538125real_n B) (comple825005695real_n ((image_1759008383real_n B2) A3))))))
% 0.61/0.81 FOF formula (((eq set_Fi1058188332real_n) s) (comple825005695real_n ((image_355963305real_n t2) top_to131672412_int_n))) of role axiom named fact_111_S__decompose
% 0.61/0.81 A new axiom: (((eq set_Fi1058188332real_n) s) (comple825005695real_n ((image_355963305real_n t2) top_to131672412_int_n)))
% 0.61/0.81 FOF formula (forall (S:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n zero_z200130687real_n)) S)) S)) of role axiom named fact_112_image__add__0
% 0.61/0.81 A new axiom: (forall (S:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n zero_z200130687real_n)) S)) S))
% 0.61/0.81 FOF formula (forall (S:set_Ex113815278nnreal), (((eq set_Ex113815278nnreal) ((image_2066995319nnreal (plus_p1763960001nnreal zero_z1963244097nnreal)) S)) S)) of role axiom named fact_113_image__add__0
% 0.61/0.81 A new axiom: (forall (S:set_Ex113815278nnreal), (((eq set_Ex113815278nnreal) ((image_2066995319nnreal (plus_p1763960001nnreal zero_z1963244097nnreal)) S)) S))
% 0.61/0.81 FOF formula (forall (X3:set_Fi1058188332real_n) (M:sigma_1466784463real_n), (((member223413699real_n X3) (measur1402256771real_n M))->(((eq set_Fi1058188332real_n) ((inf_in1974387902real_n X3) (sigma_476185326real_n M))) X3))) of role axiom named fact_114_null__sets_OInt__space__eq2
% 0.61/0.81 A new axiom: (forall (X3:set_Fi1058188332real_n) (M:sigma_1466784463real_n), (((member223413699real_n X3) (measur1402256771real_n M))->(((eq set_Fi1058188332real_n) ((inf_in1974387902real_n X3) (sigma_476185326real_n M))) X3)))
% 0.61/0.81 FOF formula (forall (X3:set_Fi1058188332real_n) (M:sigma_1466784463real_n), (((member223413699real_n X3) (measur1402256771real_n M))->(((eq set_Fi1058188332real_n) ((inf_in1974387902real_n (sigma_476185326real_n M)) X3)) X3))) of role axiom named fact_115_null__sets_OInt__space__eq1
% 0.61/0.81 A new axiom: (forall (X3:set_Fi1058188332real_n) (M:sigma_1466784463real_n), (((member223413699real_n X3) (measur1402256771real_n M))->(((eq set_Fi1058188332real_n) ((inf_in1974387902real_n (sigma_476185326real_n M)) X3)) X3)))
% 0.61/0.81 FOF formula (forall (I2:set_Fi1058188332real_n) (I3:set_se2111327970real_n) (M:(set_Fi1058188332real_n->sigma_1466784463real_n)) (Y3:set_Fi1058188332real_n) (X4:set_Fi1058188332real_n), (((member223413699real_n I2) I3)->((forall (_TPTP_I:set_Fi1058188332real_n), (((member223413699real_n _TPTP_I) I3)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n (M _TPTP_I))) Y3)))->(((member223413699real_n X4) (sigma_1235138647real_n (M I2)))->((member223413699real_n X4) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n M) I3)))))))) of role axiom named fact_116_in__sets__SUP
% 0.61/0.81 A new axiom: (forall (I2:set_Fi1058188332real_n) (I3:set_se2111327970real_n) (M:(set_Fi1058188332real_n->sigma_1466784463real_n)) (Y3:set_Fi1058188332real_n) (X4:set_Fi1058188332real_n), (((member223413699real_n I2) I3)->((forall (_TPTP_I:set_Fi1058188332real_n), (((member223413699real_n _TPTP_I) I3)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n (M _TPTP_I))) Y3)))->(((member223413699real_n X4) (sigma_1235138647real_n (M I2)))->((member223413699real_n X4) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n M) I3))))))))
% 0.61/0.82 FOF formula (forall (I2:Prop) (I3:set_o) (M:(Prop->sigma_1466784463real_n)) (Y3:set_Fi1058188332real_n) (X4:set_Fi1058188332real_n), (((member_o I2) I3)->((forall (_TPTP_I:Prop), (((member_o _TPTP_I) I3)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n (M _TPTP_I))) Y3)))->(((member223413699real_n X4) (sigma_1235138647real_n (M I2)))->((member223413699real_n X4) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n M) I3)))))))) of role axiom named fact_117_in__sets__SUP
% 0.61/0.82 A new axiom: (forall (I2:Prop) (I3:set_o) (M:(Prop->sigma_1466784463real_n)) (Y3:set_Fi1058188332real_n) (X4:set_Fi1058188332real_n), (((member_o I2) I3)->((forall (_TPTP_I:Prop), (((member_o _TPTP_I) I3)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n (M _TPTP_I))) Y3)))->(((member223413699real_n X4) (sigma_1235138647real_n (M I2)))->((member223413699real_n X4) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n M) I3))))))))
% 0.61/0.82 FOF formula (forall (M:set_Si1125517487real_n) (X4:set_Fi1058188332real_n) (M2:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), ((forall (M3:sigma_1466784463real_n), (((member1000184real_n M3) M)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n M3)) X4)))->(((member1000184real_n M2) M)->(((member223413699real_n A3) (sigma_1235138647real_n M2))->((member223413699real_n A3) (sigma_1235138647real_n (comple488165692real_n M))))))) of role axiom named fact_118_in__sets__Sup
% 0.61/0.82 A new axiom: (forall (M:set_Si1125517487real_n) (X4:set_Fi1058188332real_n) (M2:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), ((forall (M3:sigma_1466784463real_n), (((member1000184real_n M3) M)->(((eq set_Fi1058188332real_n) (sigma_476185326real_n M3)) X4)))->(((member1000184real_n M2) M)->(((member223413699real_n A3) (sigma_1235138647real_n M2))->((member223413699real_n A3) (sigma_1235138647real_n (comple488165692real_n M)))))))
% 0.61/0.82 FOF formula (forall (I3:set_se2111327970real_n) (M:(set_Fi1058188332real_n->sigma_1466784463real_n)) (N2:(set_Fi1058188332real_n->sigma_1466784463real_n)), ((forall (_TPTP_I:set_Fi1058188332real_n), (((member223413699real_n _TPTP_I) I3)->(((eq set_se2111327970real_n) (sigma_1235138647real_n (M _TPTP_I))) (sigma_1235138647real_n (N2 _TPTP_I)))))->(((eq set_se2111327970real_n) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n M) I3)))) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n N2) I3)))))) of role axiom named fact_119_sets__SUP__cong
% 0.61/0.82 A new axiom: (forall (I3:set_se2111327970real_n) (M:(set_Fi1058188332real_n->sigma_1466784463real_n)) (N2:(set_Fi1058188332real_n->sigma_1466784463real_n)), ((forall (_TPTP_I:set_Fi1058188332real_n), (((member223413699real_n _TPTP_I) I3)->(((eq set_se2111327970real_n) (sigma_1235138647real_n (M _TPTP_I))) (sigma_1235138647real_n (N2 _TPTP_I)))))->(((eq set_se2111327970real_n) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n M) I3)))) (sigma_1235138647real_n (comple488165692real_n ((image_987430492real_n N2) I3))))))
% 0.61/0.82 FOF formula (forall (I3:set_o) (M:(Prop->sigma_1466784463real_n)) (N2:(Prop->sigma_1466784463real_n)), ((forall (_TPTP_I:Prop), (((member_o _TPTP_I) I3)->(((eq set_se2111327970real_n) (sigma_1235138647real_n (M _TPTP_I))) (sigma_1235138647real_n (N2 _TPTP_I)))))->(((eq set_se2111327970real_n) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n M) I3)))) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n N2) I3)))))) of role axiom named fact_120_sets__SUP__cong
% 0.61/0.82 A new axiom: (forall (I3:set_o) (M:(Prop->sigma_1466784463real_n)) (N2:(Prop->sigma_1466784463real_n)), ((forall (_TPTP_I:Prop), (((member_o _TPTP_I) I3)->(((eq set_se2111327970real_n) (sigma_1235138647real_n (M _TPTP_I))) (sigma_1235138647real_n (N2 _TPTP_I)))))->(((eq set_se2111327970real_n) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n M) I3)))) (sigma_1235138647real_n (comple488165692real_n ((image_1599934780real_n N2) I3))))))
% 0.61/0.82 FOF formula (((eq (set_se820660888real_n->set_se2111327970real_n)) comple1917283637real_n) (fun (A4:set_se820660888real_n)=> (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> (complete_Sup_Sup_o ((image_1681970287al_n_o (member223413699real_n X)) A4)))))) of role axiom named fact_121_Sup__set__def
% 0.61/0.82 A new axiom: (((eq (set_se820660888real_n->set_se2111327970real_n)) comple1917283637real_n) (fun (A4:set_se820660888real_n)=> (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> (complete_Sup_Sup_o ((image_1681970287al_n_o (member223413699real_n X)) A4))))))
% 0.61/0.82 FOF formula (((eq (set_set_o->set_o)) comple1665300069_set_o) (fun (A4:set_set_o)=> (collect_o (fun (X:Prop)=> (complete_Sup_Sup_o ((image_set_o_o (member_o X)) A4)))))) of role axiom named fact_122_Sup__set__def
% 0.61/0.82 A new axiom: (((eq (set_set_o->set_o)) comple1665300069_set_o) (fun (A4:set_set_o)=> (collect_o (fun (X:Prop)=> (complete_Sup_Sup_o ((image_set_o_o (member_o X)) A4))))))
% 0.61/0.82 FOF formula (((eq (set_se2111327970real_n->set_Fi1058188332real_n)) comple825005695real_n) (fun (A4:set_se2111327970real_n)=> (collec321817931real_n (fun (X:finite1489363574real_n)=> (complete_Sup_Sup_o ((image_1648361637al_n_o (member1352538125real_n X)) A4)))))) of role axiom named fact_123_Sup__set__def
% 0.61/0.82 A new axiom: (((eq (set_se2111327970real_n->set_Fi1058188332real_n)) comple825005695real_n) (fun (A4:set_se2111327970real_n)=> (collec321817931real_n (fun (X:finite1489363574real_n)=> (complete_Sup_Sup_o ((image_1648361637al_n_o (member1352538125real_n X)) A4))))))
% 0.61/0.82 FOF formula (forall (M:set_Si1125517487real_n), (((eq set_Fi1058188332real_n) (sigma_476185326real_n (comple488165692real_n M))) (comple825005695real_n ((image_1298280374real_n sigma_476185326real_n) M)))) of role axiom named fact_124_space__Sup__eq__UN
% 0.61/0.82 A new axiom: (forall (M:set_Si1125517487real_n), (((eq set_Fi1058188332real_n) (sigma_476185326real_n (comple488165692real_n M))) (comple825005695real_n ((image_1298280374real_n sigma_476185326real_n) M))))
% 0.61/0.82 FOF formula (((eq set_nat) top_top_set_nat) (collect_nat top_top_nat_o)) of role axiom named fact_125_top__set__def
% 0.61/0.82 A new axiom: (((eq set_nat) top_top_set_nat) (collect_nat top_top_nat_o))
% 0.61/0.82 FOF formula (((eq set_Fi160064172_int_n) top_to131672412_int_n) (collec1941932235_int_n top_to287930409nt_n_o)) of role axiom named fact_126_top__set__def
% 0.61/0.82 A new axiom: (((eq set_Fi160064172_int_n) top_to131672412_int_n) (collec1941932235_int_n top_to287930409nt_n_o))
% 0.61/0.82 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n ((minus_1686442501real_n A3) B2)) C2)) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) ((inf_in1974387902real_n B2) C2)))) of role axiom named fact_127_Diff__Int__distrib2
% 0.61/0.82 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n ((minus_1686442501real_n A3) B2)) C2)) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) ((inf_in1974387902real_n B2) C2))))
% 0.61/0.82 FOF formula (forall (C2:set_Fi1058188332real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n C2) ((minus_1686442501real_n A3) B2))) ((minus_1686442501real_n ((inf_in1974387902real_n C2) A3)) ((inf_in1974387902real_n C2) B2)))) of role axiom named fact_128_Diff__Int__distrib
% 0.61/0.82 A new axiom: (forall (C2:set_Fi1058188332real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n C2) ((minus_1686442501real_n A3) B2))) ((minus_1686442501real_n ((inf_in1974387902real_n C2) A3)) ((inf_in1974387902real_n C2) B2))))
% 0.61/0.82 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n A3) ((minus_1686442501real_n A3) B2))) ((inf_in1974387902real_n A3) B2))) of role axiom named fact_129_Diff__Diff__Int
% 0.61/0.84 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n A3) ((minus_1686442501real_n A3) B2))) ((inf_in1974387902real_n A3) B2)))
% 0.61/0.84 FOF formula (forall (A3:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) ((inf_in1974387902real_n B2) C2))) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) B2))) of role axiom named fact_130_Diff__Int2
% 0.61/0.84 A new axiom: (forall (A3:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) ((inf_in1974387902real_n B2) C2))) ((minus_1686442501real_n ((inf_in1974387902real_n A3) C2)) B2)))
% 0.61/0.84 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n ((inf_in1974387902real_n A3) B2)) C2)) ((inf_in1974387902real_n A3) ((minus_1686442501real_n B2) C2)))) of role axiom named fact_131_Int__Diff
% 0.61/0.84 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n ((inf_in1974387902real_n A3) B2)) C2)) ((inf_in1974387902real_n A3) ((minus_1686442501real_n B2) C2))))
% 0.61/0.84 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) ((minus_1686442501real_n A3) B2))) ((minus_1686442501real_n ((vimage1233683625real_n F) A3)) ((vimage1233683625real_n F) B2)))) of role axiom named fact_132_vimage__Diff
% 0.61/0.84 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) ((minus_1686442501real_n A3) B2))) ((minus_1686442501real_n ((vimage1233683625real_n F) A3)) ((vimage1233683625real_n F) B2))))
% 0.61/0.84 FOF formula (forall (M:sigma_1422848389real_n) (P:(set_Fi1058188332real_n->Prop)) (Q:(set_Fi1058188332real_n->Prop)), (((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (P X))))) (measur2126959417real_n M))->(((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))))) (measur2126959417real_n M))->((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) ((or (Q X)) (P X)))))) (measur2126959417real_n M))))) of role axiom named fact_133_null__sets_Osets__Collect__disj
% 0.61/0.84 A new axiom: (forall (M:sigma_1422848389real_n) (P:(set_Fi1058188332real_n->Prop)) (Q:(set_Fi1058188332real_n->Prop)), (((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (P X))))) (measur2126959417real_n M))->(((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))))) (measur2126959417real_n M))->((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) ((or (Q X)) (P X)))))) (measur2126959417real_n M)))))
% 0.61/0.84 FOF formula (forall (M:sigma_measure_o) (P:(Prop->Prop)) (Q:(Prop->Prop)), (((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (P X))))) (measure_null_sets_o M))->(((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (Q X))))) (measure_null_sets_o M))->((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) ((or (Q X)) (P X)))))) (measure_null_sets_o M))))) of role axiom named fact_134_null__sets_Osets__Collect__disj
% 0.61/0.84 A new axiom: (forall (M:sigma_measure_o) (P:(Prop->Prop)) (Q:(Prop->Prop)), (((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (P X))))) (measure_null_sets_o M))->(((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (Q X))))) (measure_null_sets_o M))->((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) ((or (Q X)) (P X)))))) (measure_null_sets_o M)))))
% 0.61/0.84 FOF formula (forall (M:sigma_1466784463real_n) (P:(finite1489363574real_n->Prop)) (Q:(finite1489363574real_n->Prop)), (((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (P X))))) (measur1402256771real_n M))->(((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))))) (measur1402256771real_n M))->((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) ((or (Q X)) (P X)))))) (measur1402256771real_n M))))) of role axiom named fact_135_null__sets_Osets__Collect__disj
% 0.61/0.84 A new axiom: (forall (M:sigma_1466784463real_n) (P:(finite1489363574real_n->Prop)) (Q:(finite1489363574real_n->Prop)), (((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (P X))))) (measur1402256771real_n M))->(((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))))) (measur1402256771real_n M))->((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) ((or (Q X)) (P X)))))) (measur1402256771real_n M)))))
% 0.61/0.84 FOF formula (forall (M:sigma_1422848389real_n) (P:(set_Fi1058188332real_n->Prop)) (Q:(set_Fi1058188332real_n->Prop)), (((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (P X))))) (measur2126959417real_n M))->(((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))))) (measur2126959417real_n M))->((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))) (P X))))) (measur2126959417real_n M))))) of role axiom named fact_136_null__sets_Osets__Collect__conj
% 0.61/0.84 A new axiom: (forall (M:sigma_1422848389real_n) (P:(set_Fi1058188332real_n->Prop)) (Q:(set_Fi1058188332real_n->Prop)), (((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (P X))))) (measur2126959417real_n M))->(((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))))) (measur2126959417real_n M))->((member1475136633real_n (collec452821761real_n (fun (X:set_Fi1058188332real_n)=> ((and ((and ((member223413699real_n X) (sigma_607186084real_n M))) (Q X))) (P X))))) (measur2126959417real_n M)))))
% 0.61/0.84 FOF formula (forall (M:sigma_measure_o) (P:(Prop->Prop)) (Q:(Prop->Prop)), (((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (P X))))) (measure_null_sets_o M))->(((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (Q X))))) (measure_null_sets_o M))->((member_set_o (collect_o (fun (X:Prop)=> ((and ((and ((member_o X) (sigma_space_o M))) (Q X))) (P X))))) (measure_null_sets_o M))))) of role axiom named fact_137_null__sets_Osets__Collect__conj
% 0.61/0.84 A new axiom: (forall (M:sigma_measure_o) (P:(Prop->Prop)) (Q:(Prop->Prop)), (((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (P X))))) (measure_null_sets_o M))->(((member_set_o (collect_o (fun (X:Prop)=> ((and ((member_o X) (sigma_space_o M))) (Q X))))) (measure_null_sets_o M))->((member_set_o (collect_o (fun (X:Prop)=> ((and ((and ((member_o X) (sigma_space_o M))) (Q X))) (P X))))) (measure_null_sets_o M)))))
% 0.61/0.85 FOF formula (forall (M:sigma_1466784463real_n) (P:(finite1489363574real_n->Prop)) (Q:(finite1489363574real_n->Prop)), (((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (P X))))) (measur1402256771real_n M))->(((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))))) (measur1402256771real_n M))->((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))) (P X))))) (measur1402256771real_n M))))) of role axiom named fact_138_null__sets_Osets__Collect__conj
% 0.61/0.85 A new axiom: (forall (M:sigma_1466784463real_n) (P:(finite1489363574real_n->Prop)) (Q:(finite1489363574real_n->Prop)), (((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (P X))))) (measur1402256771real_n M))->(((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))))) (measur1402256771real_n M))->((member223413699real_n (collec321817931real_n (fun (X:finite1489363574real_n)=> ((and ((and ((member1352538125real_n X) (sigma_476185326real_n M))) (Q X))) (P X))))) (measur1402256771real_n M)))))
% 0.61/0.85 FOF formula (forall (A:finite1489363574real_n) (S2:set_Fi1058188332real_n) (T:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n A)) ((minus_1686442501real_n S2) T))) ((minus_1686442501real_n ((image_439535603real_n (plus_p585657087real_n A)) S2)) ((image_439535603real_n (plus_p585657087real_n A)) T)))) of role axiom named fact_139_translation__diff
% 0.61/0.85 A new axiom: (forall (A:finite1489363574real_n) (S2:set_Fi1058188332real_n) (T:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((image_439535603real_n (plus_p585657087real_n A)) ((minus_1686442501real_n S2) T))) ((minus_1686442501real_n ((image_439535603real_n (plus_p585657087real_n A)) S2)) ((image_439535603real_n (plus_p585657087real_n A)) T))))
% 0.61/0.85 FOF formula (forall (B2:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), (((member223413699real_n B2) (measur1402256771real_n M))->(((member223413699real_n A3) (sigma_1235138647real_n M))->((member223413699real_n ((minus_1686442501real_n B2) A3)) (measur1402256771real_n M))))) of role axiom named fact_140_null__set__Diff
% 0.61/0.85 A new axiom: (forall (B2:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), (((member223413699real_n B2) (measur1402256771real_n M))->(((member223413699real_n A3) (sigma_1235138647real_n M))->((member223413699real_n ((minus_1686442501real_n B2) A3)) (measur1402256771real_n M)))))
% 0.61/0.85 FOF formula (forall (B2:set_se2111327970real_n) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n (comple825005695real_n B2)) A3)) (comple825005695real_n ((image_1661509983real_n (fun (C3:set_Fi1058188332real_n)=> ((inf_in1974387902real_n C3) A3))) B2)))) of role axiom named fact_141_Int__Union2
% 0.61/0.85 A new axiom: (forall (B2:set_se2111327970real_n) (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n (comple825005695real_n B2)) A3)) (comple825005695real_n ((image_1661509983real_n (fun (C3:set_Fi1058188332real_n)=> ((inf_in1974387902real_n C3) A3))) B2))))
% 0.61/0.85 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_se2111327970real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) (comple825005695real_n B2))) (comple825005695real_n ((image_1661509983real_n (inf_in1974387902real_n A3)) B2)))) of role axiom named fact_142_Int__Union
% 0.61/0.85 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_se2111327970real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) (comple825005695real_n B2))) (comple825005695real_n ((image_1661509983real_n (inf_in1974387902real_n A3)) B2))))
% 0.70/0.86 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_se2111327970real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) (comple825005695real_n A3))) (comple825005695real_n ((image_1661509983real_n (vimage1233683625real_n F)) A3)))) of role axiom named fact_143_vimage__Union
% 0.70/0.86 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_se2111327970real_n), (((eq set_Fi1058188332real_n) ((vimage1233683625real_n F) (comple825005695real_n A3))) (comple825005695real_n ((image_1661509983real_n (vimage1233683625real_n F)) A3))))
% 0.70/0.86 FOF formula (forall (A3:(nat->set_Fi1058188332real_n)) (C2:set_nat) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n (comple825005695real_n ((image_1856576259real_n A3) C2))) B2)) (comple825005695real_n ((image_1856576259real_n (fun (X:nat)=> ((minus_1686442501real_n (A3 X)) B2))) C2)))) of role axiom named fact_144_UN__extend__simps_I6_J
% 0.70/0.86 A new axiom: (forall (A3:(nat->set_Fi1058188332real_n)) (C2:set_nat) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n (comple825005695real_n ((image_1856576259real_n A3) C2))) B2)) (comple825005695real_n ((image_1856576259real_n (fun (X:nat)=> ((minus_1686442501real_n (A3 X)) B2))) C2))))
% 0.70/0.86 FOF formula (forall (A3:(finite964658038_int_n->set_Fi1058188332real_n)) (C2:set_Fi160064172_int_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n (comple825005695real_n ((image_355963305real_n A3) C2))) B2)) (comple825005695real_n ((image_355963305real_n (fun (X:finite964658038_int_n)=> ((minus_1686442501real_n (A3 X)) B2))) C2)))) of role axiom named fact_145_UN__extend__simps_I6_J
% 0.70/0.86 A new axiom: (forall (A3:(finite964658038_int_n->set_Fi1058188332real_n)) (C2:set_Fi160064172_int_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((minus_1686442501real_n (comple825005695real_n ((image_355963305real_n A3) C2))) B2)) (comple825005695real_n ((image_355963305real_n (fun (X:finite964658038_int_n)=> ((minus_1686442501real_n (A3 X)) B2))) C2))))
% 0.70/0.86 FOF formula (forall (B2:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), (((member223413699real_n B2) (measur1402256771real_n M))->(((member223413699real_n A3) (sigma_1235138647real_n M))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n M) ((minus_1686442501real_n A3) B2))) ((sigma_1536574303real_n M) A3))))) of role axiom named fact_146_emeasure__Diff__null__set
% 0.70/0.86 A new axiom: (forall (B2:set_Fi1058188332real_n) (M:sigma_1466784463real_n) (A3:set_Fi1058188332real_n), (((member223413699real_n B2) (measur1402256771real_n M))->(((member223413699real_n A3) (sigma_1235138647real_n M))->(((eq extend1728876344nnreal) ((sigma_1536574303real_n M) ((minus_1686442501real_n A3) B2))) ((sigma_1536574303real_n M) A3)))))
% 0.70/0.86 FOF formula (forall (A3:set_nat) (B2:set_nat) (C2:(nat->set_Fi1058188332real_n)) (D:(nat->set_Fi1058188332real_n)) (Sup:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_nat) A3) B2)->((forall (X2:nat), (((member_nat X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Sup ((image_1856576259real_n C2) A3))) (Sup ((image_1856576259real_n D) B2)))))) of role axiom named fact_147_Sup_OSUP__cong
% 0.70/0.86 A new axiom: (forall (A3:set_nat) (B2:set_nat) (C2:(nat->set_Fi1058188332real_n)) (D:(nat->set_Fi1058188332real_n)) (Sup:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_nat) A3) B2)->((forall (X2:nat), (((member_nat X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Sup ((image_1856576259real_n C2) A3))) (Sup ((image_1856576259real_n D) B2))))))
% 0.70/0.86 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:(finite1489363574real_n->finite1489363574real_n)) (D:(finite1489363574real_n->finite1489363574real_n)) (Sup:(set_Fi1058188332real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) A3) B2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) B2)->(((eq finite1489363574real_n) (C2 X2)) (D X2))))->(((eq finite1489363574real_n) (Sup ((image_439535603real_n C2) A3))) (Sup ((image_439535603real_n D) B2)))))) of role axiom named fact_148_Sup_OSUP__cong
% 0.70/0.87 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:(finite1489363574real_n->finite1489363574real_n)) (D:(finite1489363574real_n->finite1489363574real_n)) (Sup:(set_Fi1058188332real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) A3) B2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) B2)->(((eq finite1489363574real_n) (C2 X2)) (D X2))))->(((eq finite1489363574real_n) (Sup ((image_439535603real_n C2) A3))) (Sup ((image_439535603real_n D) B2))))))
% 0.70/0.87 FOF formula (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n) (C2:(finite964658038_int_n->set_Fi1058188332real_n)) (D:(finite964658038_int_n->set_Fi1058188332real_n)) (Sup:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) A3) B2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Sup ((image_355963305real_n C2) A3))) (Sup ((image_355963305real_n D) B2)))))) of role axiom named fact_149_Sup_OSUP__cong
% 0.70/0.87 A new axiom: (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n) (C2:(finite964658038_int_n->set_Fi1058188332real_n)) (D:(finite964658038_int_n->set_Fi1058188332real_n)) (Sup:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) A3) B2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Sup ((image_355963305real_n C2) A3))) (Sup ((image_355963305real_n D) B2))))))
% 0.70/0.87 FOF formula (forall (A3:set_nat) (B2:set_nat) (C2:(nat->set_Fi1058188332real_n)) (D:(nat->set_Fi1058188332real_n)) (Inf:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_nat) A3) B2)->((forall (X2:nat), (((member_nat X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Inf ((image_1856576259real_n C2) A3))) (Inf ((image_1856576259real_n D) B2)))))) of role axiom named fact_150_Inf_OINF__cong
% 0.70/0.87 A new axiom: (forall (A3:set_nat) (B2:set_nat) (C2:(nat->set_Fi1058188332real_n)) (D:(nat->set_Fi1058188332real_n)) (Inf:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_nat) A3) B2)->((forall (X2:nat), (((member_nat X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Inf ((image_1856576259real_n C2) A3))) (Inf ((image_1856576259real_n D) B2))))))
% 0.70/0.87 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:(finite1489363574real_n->finite1489363574real_n)) (D:(finite1489363574real_n->finite1489363574real_n)) (Inf:(set_Fi1058188332real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) A3) B2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) B2)->(((eq finite1489363574real_n) (C2 X2)) (D X2))))->(((eq finite1489363574real_n) (Inf ((image_439535603real_n C2) A3))) (Inf ((image_439535603real_n D) B2)))))) of role axiom named fact_151_Inf_OINF__cong
% 0.70/0.87 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:(finite1489363574real_n->finite1489363574real_n)) (D:(finite1489363574real_n->finite1489363574real_n)) (Inf:(set_Fi1058188332real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) A3) B2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) B2)->(((eq finite1489363574real_n) (C2 X2)) (D X2))))->(((eq finite1489363574real_n) (Inf ((image_439535603real_n C2) A3))) (Inf ((image_439535603real_n D) B2))))))
% 0.70/0.87 FOF formula (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n) (C2:(finite964658038_int_n->set_Fi1058188332real_n)) (D:(finite964658038_int_n->set_Fi1058188332real_n)) (Inf:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) A3) B2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Inf ((image_355963305real_n C2) A3))) (Inf ((image_355963305real_n D) B2)))))) of role axiom named fact_152_Inf_OINF__cong
% 0.70/0.87 A new axiom: (forall (A3:set_Fi160064172_int_n) (B2:set_Fi160064172_int_n) (C2:(finite964658038_int_n->set_Fi1058188332real_n)) (D:(finite964658038_int_n->set_Fi1058188332real_n)) (Inf:(set_se2111327970real_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) A3) B2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) B2)->(((eq set_Fi1058188332real_n) (C2 X2)) (D X2))))->(((eq set_Fi1058188332real_n) (Inf ((image_355963305real_n C2) A3))) (Inf ((image_355963305real_n D) B2))))))
% 0.70/0.87 FOF formula (forall (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)), (((member1352538125real_n X3) A3)->((((eq finite1489363574real_n) B) (F X3))->((member1352538125real_n B) ((image_439535603real_n F) A3))))) of role axiom named fact_153_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)), (((member1352538125real_n X3) A3)->((((eq finite1489363574real_n) B) (F X3))->((member1352538125real_n B) ((image_439535603real_n F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:nat) (A3:set_nat) (B:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)), (((member_nat X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1856576259real_n F) A3))))) of role axiom named fact_154_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:nat) (A3:set_nat) (B:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)), (((member_nat X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1856576259real_n F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n) (B:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_355963305real_n F) A3))))) of role axiom named fact_155_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n) (B:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_355963305real_n F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1661509983real_n F) A3))))) of role axiom named fact_156_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:set_Fi1058188332real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1661509983real_n F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:Prop) (F:(set_Fi1058188332real_n->Prop)), (((member223413699real_n X3) A3)->((((eq Prop) B) (F X3))->((member_o B) ((image_1648361637al_n_o F) A3))))) of role axiom named fact_157_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B:Prop) (F:(set_Fi1058188332real_n->Prop)), (((member223413699real_n X3) A3)->((((eq Prop) B) (F X3))->((member_o B) ((image_1648361637al_n_o F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:Prop) (A3:set_o) (B:set_Fi1058188332real_n) (F:(Prop->set_Fi1058188332real_n)), (((member_o X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1759008383real_n F) A3))))) of role axiom named fact_158_rev__image__eqI
% 0.70/0.87 A new axiom: (forall (X3:Prop) (A3:set_o) (B:set_Fi1058188332real_n) (F:(Prop->set_Fi1058188332real_n)), (((member_o X3) A3)->((((eq set_Fi1058188332real_n) B) (F X3))->((member223413699real_n B) ((image_1759008383real_n F) A3)))))
% 0.70/0.87 FOF formula (forall (X3:Prop) (A3:set_o) (B:Prop) (F:(Prop->Prop)), (((member_o X3) A3)->((((eq Prop) B) (F X3))->((member_o B) ((image_o_o F) A3))))) of role axiom named fact_159_rev__image__eqI
% 0.72/0.88 A new axiom: (forall (X3:Prop) (A3:set_o) (B:Prop) (F:(Prop->Prop)), (((member_o X3) A3)->((((eq Prop) B) (F X3))->((member_o B) ((image_o_o F) A3)))))
% 0.72/0.88 FOF formula (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(set_Fi1058188332real_n->Prop)), ((forall (X2:set_Fi1058188332real_n), (((member223413699real_n X2) ((image_1856576259real_n F) A3))->(P X2)))->(forall (X5:nat), (((member_nat X5) A3)->(P (F X5)))))) of role axiom named fact_160_ball__imageD
% 0.72/0.88 A new axiom: (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(set_Fi1058188332real_n->Prop)), ((forall (X2:set_Fi1058188332real_n), (((member223413699real_n X2) ((image_1856576259real_n F) A3))->(P X2)))->(forall (X5:nat), (((member_nat X5) A3)->(P (F X5))))))
% 0.72/0.88 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (P:(finite1489363574real_n->Prop)), ((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) ((image_439535603real_n F) A3))->(P X2)))->(forall (X5:finite1489363574real_n), (((member1352538125real_n X5) A3)->(P (F X5)))))) of role axiom named fact_161_ball__imageD
% 0.72/0.88 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (P:(finite1489363574real_n->Prop)), ((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) ((image_439535603real_n F) A3))->(P X2)))->(forall (X5:finite1489363574real_n), (((member1352538125real_n X5) A3)->(P (F X5))))))
% 0.72/0.88 FOF formula (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(set_Fi1058188332real_n->Prop)), ((forall (X2:set_Fi1058188332real_n), (((member223413699real_n X2) ((image_355963305real_n F) A3))->(P X2)))->(forall (X5:finite964658038_int_n), (((member27055245_int_n X5) A3)->(P (F X5)))))) of role axiom named fact_162_ball__imageD
% 0.72/0.88 A new axiom: (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(set_Fi1058188332real_n->Prop)), ((forall (X2:set_Fi1058188332real_n), (((member223413699real_n X2) ((image_355963305real_n F) A3))->(P X2)))->(forall (X5:finite964658038_int_n), (((member27055245_int_n X5) A3)->(P (F X5))))))
% 0.72/0.88 FOF formula (forall (M:set_nat) (N2:set_nat) (F:(nat->set_Fi1058188332real_n)) (G:(nat->set_Fi1058188332real_n)), ((((eq set_nat) M) N2)->((forall (X2:nat), (((member_nat X2) N2)->(((eq set_Fi1058188332real_n) (F X2)) (G X2))))->(((eq set_se2111327970real_n) ((image_1856576259real_n F) M)) ((image_1856576259real_n G) N2))))) of role axiom named fact_163_image__cong
% 0.72/0.88 A new axiom: (forall (M:set_nat) (N2:set_nat) (F:(nat->set_Fi1058188332real_n)) (G:(nat->set_Fi1058188332real_n)), ((((eq set_nat) M) N2)->((forall (X2:nat), (((member_nat X2) N2)->(((eq set_Fi1058188332real_n) (F X2)) (G X2))))->(((eq set_se2111327970real_n) ((image_1856576259real_n F) M)) ((image_1856576259real_n G) N2)))))
% 0.72/0.88 FOF formula (forall (M:set_Fi1058188332real_n) (N2:set_Fi1058188332real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (G:(finite1489363574real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) M) N2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) N2)->(((eq finite1489363574real_n) (F X2)) (G X2))))->(((eq set_Fi1058188332real_n) ((image_439535603real_n F) M)) ((image_439535603real_n G) N2))))) of role axiom named fact_164_image__cong
% 0.72/0.88 A new axiom: (forall (M:set_Fi1058188332real_n) (N2:set_Fi1058188332real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (G:(finite1489363574real_n->finite1489363574real_n)), ((((eq set_Fi1058188332real_n) M) N2)->((forall (X2:finite1489363574real_n), (((member1352538125real_n X2) N2)->(((eq finite1489363574real_n) (F X2)) (G X2))))->(((eq set_Fi1058188332real_n) ((image_439535603real_n F) M)) ((image_439535603real_n G) N2)))))
% 0.72/0.88 FOF formula (forall (M:set_Fi160064172_int_n) (N2:set_Fi160064172_int_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (G:(finite964658038_int_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) M) N2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) N2)->(((eq set_Fi1058188332real_n) (F X2)) (G X2))))->(((eq set_se2111327970real_n) ((image_355963305real_n F) M)) ((image_355963305real_n G) N2))))) of role axiom named fact_165_image__cong
% 0.72/0.89 A new axiom: (forall (M:set_Fi160064172_int_n) (N2:set_Fi160064172_int_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (G:(finite964658038_int_n->set_Fi1058188332real_n)), ((((eq set_Fi160064172_int_n) M) N2)->((forall (X2:finite964658038_int_n), (((member27055245_int_n X2) N2)->(((eq set_Fi1058188332real_n) (F X2)) (G X2))))->(((eq set_se2111327970real_n) ((image_355963305real_n F) M)) ((image_355963305real_n G) N2)))))
% 0.72/0.89 FOF formula (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(set_Fi1058188332real_n->Prop)), (((ex set_Fi1058188332real_n) (fun (X5:set_Fi1058188332real_n)=> ((and ((member223413699real_n X5) ((image_1856576259real_n F) A3))) (P X5))))->((ex nat) (fun (X2:nat)=> ((and ((member_nat X2) A3)) (P (F X2))))))) of role axiom named fact_166_bex__imageD
% 0.72/0.89 A new axiom: (forall (F:(nat->set_Fi1058188332real_n)) (A3:set_nat) (P:(set_Fi1058188332real_n->Prop)), (((ex set_Fi1058188332real_n) (fun (X5:set_Fi1058188332real_n)=> ((and ((member223413699real_n X5) ((image_1856576259real_n F) A3))) (P X5))))->((ex nat) (fun (X2:nat)=> ((and ((member_nat X2) A3)) (P (F X2)))))))
% 0.72/0.89 FOF formula (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (P:(finite1489363574real_n->Prop)), (((ex finite1489363574real_n) (fun (X5:finite1489363574real_n)=> ((and ((member1352538125real_n X5) ((image_439535603real_n F) A3))) (P X5))))->((ex finite1489363574real_n) (fun (X2:finite1489363574real_n)=> ((and ((member1352538125real_n X2) A3)) (P (F X2))))))) of role axiom named fact_167_bex__imageD
% 0.72/0.89 A new axiom: (forall (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n) (P:(finite1489363574real_n->Prop)), (((ex finite1489363574real_n) (fun (X5:finite1489363574real_n)=> ((and ((member1352538125real_n X5) ((image_439535603real_n F) A3))) (P X5))))->((ex finite1489363574real_n) (fun (X2:finite1489363574real_n)=> ((and ((member1352538125real_n X2) A3)) (P (F X2)))))))
% 0.72/0.89 FOF formula (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(set_Fi1058188332real_n->Prop)), (((ex set_Fi1058188332real_n) (fun (X5:set_Fi1058188332real_n)=> ((and ((member223413699real_n X5) ((image_355963305real_n F) A3))) (P X5))))->((ex finite964658038_int_n) (fun (X2:finite964658038_int_n)=> ((and ((member27055245_int_n X2) A3)) (P (F X2))))))) of role axiom named fact_168_bex__imageD
% 0.72/0.89 A new axiom: (forall (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n) (P:(set_Fi1058188332real_n->Prop)), (((ex set_Fi1058188332real_n) (fun (X5:set_Fi1058188332real_n)=> ((and ((member223413699real_n X5) ((image_355963305real_n F) A3))) (P X5))))->((ex finite964658038_int_n) (fun (X2:finite964658038_int_n)=> ((and ((member27055245_int_n X2) A3)) (P (F X2)))))))
% 0.72/0.89 FOF formula (forall (Z:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n Z) ((image_439535603real_n F) A3))) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) A3)) (((eq finite1489363574real_n) Z) (F X))))))) of role axiom named fact_169_image__iff
% 0.72/0.89 A new axiom: (forall (Z:finite1489363574real_n) (F:(finite1489363574real_n->finite1489363574real_n)) (A3:set_Fi1058188332real_n), (((eq Prop) ((member1352538125real_n Z) ((image_439535603real_n F) A3))) ((ex finite1489363574real_n) (fun (X:finite1489363574real_n)=> ((and ((member1352538125real_n X) A3)) (((eq finite1489363574real_n) Z) (F X)))))))
% 0.72/0.89 FOF formula (forall (Z:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)) (A3:set_nat), (((eq Prop) ((member223413699real_n Z) ((image_1856576259real_n F) A3))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) (((eq set_Fi1058188332real_n) Z) (F X))))))) of role axiom named fact_170_image__iff
% 0.72/0.90 A new axiom: (forall (Z:set_Fi1058188332real_n) (F:(nat->set_Fi1058188332real_n)) (A3:set_nat), (((eq Prop) ((member223413699real_n Z) ((image_1856576259real_n F) A3))) ((ex nat) (fun (X:nat)=> ((and ((member_nat X) A3)) (((eq set_Fi1058188332real_n) Z) (F X)))))))
% 0.72/0.90 FOF formula (forall (Z:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n), (((eq Prop) ((member223413699real_n Z) ((image_355963305real_n F) A3))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) (((eq set_Fi1058188332real_n) Z) (F X))))))) of role axiom named fact_171_image__iff
% 0.72/0.90 A new axiom: (forall (Z:set_Fi1058188332real_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)) (A3:set_Fi160064172_int_n), (((eq Prop) ((member223413699real_n Z) ((image_355963305real_n F) A3))) ((ex finite964658038_int_n) (fun (X:finite964658038_int_n)=> ((and ((member27055245_int_n X) A3)) (((eq set_Fi1058188332real_n) Z) (F X)))))))
% 0.72/0.90 FOF formula (forall (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n) (F:(finite1489363574real_n->finite1489363574real_n)), (((member1352538125real_n X3) A3)->((member1352538125real_n (F X3)) ((image_439535603real_n F) A3)))) of role axiom named fact_172_imageI
% 0.72/0.90 A new axiom: (forall (X3:finite1489363574real_n) (A3:set_Fi1058188332real_n) (F:(finite1489363574real_n->finite1489363574real_n)), (((member1352538125real_n X3) A3)->((member1352538125real_n (F X3)) ((image_439535603real_n F) A3))))
% 0.72/0.90 FOF formula (forall (X3:nat) (A3:set_nat) (F:(nat->set_Fi1058188332real_n)), (((member_nat X3) A3)->((member223413699real_n (F X3)) ((image_1856576259real_n F) A3)))) of role axiom named fact_173_imageI
% 0.72/0.90 A new axiom: (forall (X3:nat) (A3:set_nat) (F:(nat->set_Fi1058188332real_n)), (((member_nat X3) A3)->((member223413699real_n (F X3)) ((image_1856576259real_n F) A3))))
% 0.72/0.90 FOF formula (forall (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n X3) A3)->((member223413699real_n (F X3)) ((image_355963305real_n F) A3)))) of role axiom named fact_174_imageI
% 0.72/0.90 A new axiom: (forall (X3:finite964658038_int_n) (A3:set_Fi160064172_int_n) (F:(finite964658038_int_n->set_Fi1058188332real_n)), (((member27055245_int_n X3) A3)->((member223413699real_n (F X3)) ((image_355963305real_n F) A3))))
% 0.72/0.90 FOF formula (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n X3) A3)->((member223413699real_n (F X3)) ((image_1661509983real_n F) A3)))) of role axiom named fact_175_imageI
% 0.72/0.90 A new axiom: (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (F:(set_Fi1058188332real_n->set_Fi1058188332real_n)), (((member223413699real_n X3) A3)->((member223413699real_n (F X3)) ((image_1661509983real_n F) A3))))
% 0.72/0.90 FOF formula (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (F:(set_Fi1058188332real_n->Prop)), (((member223413699real_n X3) A3)->((member_o (F X3)) ((image_1648361637al_n_o F) A3)))) of role axiom named fact_176_imageI
% 0.72/0.90 A new axiom: (forall (X3:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (F:(set_Fi1058188332real_n->Prop)), (((member223413699real_n X3) A3)->((member_o (F X3)) ((image_1648361637al_n_o F) A3))))
% 0.72/0.90 FOF formula (forall (X3:Prop) (A3:set_o) (F:(Prop->set_Fi1058188332real_n)), (((member_o X3) A3)->((member223413699real_n (F X3)) ((image_1759008383real_n F) A3)))) of role axiom named fact_177_imageI
% 0.72/0.90 A new axiom: (forall (X3:Prop) (A3:set_o) (F:(Prop->set_Fi1058188332real_n)), (((member_o X3) A3)->((member223413699real_n (F X3)) ((image_1759008383real_n F) A3))))
% 0.72/0.90 FOF formula (forall (X3:Prop) (A3:set_o) (F:(Prop->Prop)), (((member_o X3) A3)->((member_o (F X3)) ((image_o_o F) A3)))) of role axiom named fact_178_imageI
% 0.72/0.90 A new axiom: (forall (X3:Prop) (A3:set_o) (F:(Prop->Prop)), (((member_o X3) A3)->((member_o (F X3)) ((image_o_o F) A3))))
% 0.72/0.90 FOF formula (forall (A:finite1489363574real_n) (B:finite1489363574real_n) (C:finite1489363574real_n), (((eq finite1489363574real_n) ((plus_p585657087real_n ((plus_p585657087real_n A) B)) C)) ((plus_p585657087real_n A) ((plus_p585657087real_n B) C)))) of role axiom named fact_179_is__num__normalize_I1_J
% 0.72/0.91 A new axiom: (forall (A:finite1489363574real_n) (B:finite1489363574real_n) (C:finite1489363574real_n), (((eq finite1489363574real_n) ((plus_p585657087real_n ((plus_p585657087real_n A) B)) C)) ((plus_p585657087real_n A) ((plus_p585657087real_n B) C))))
% 0.72/0.91 FOF formula ((ex set_Fi1058188332real_n) (fun (X2:set_Fi1058188332real_n)=> ((member223413699real_n X2) top_to20708754real_n))) of role axiom named fact_180_UNIV__witness
% 0.72/0.91 A new axiom: ((ex set_Fi1058188332real_n) (fun (X2:set_Fi1058188332real_n)=> ((member223413699real_n X2) top_to20708754real_n)))
% 0.72/0.91 FOF formula ((ex Prop) (fun (X2:Prop)=> ((member_o X2) top_top_set_o))) of role axiom named fact_181_UNIV__witness
% 0.72/0.91 A new axiom: ((ex Prop) (fun (X2:Prop)=> ((member_o X2) top_top_set_o)))
% 0.72/0.91 FOF formula ((ex nat) (fun (X2:nat)=> ((member_nat X2) top_top_set_nat))) of role axiom named fact_182_UNIV__witness
% 0.72/0.91 A new axiom: ((ex nat) (fun (X2:nat)=> ((member_nat X2) top_top_set_nat)))
% 0.72/0.91 FOF formula ((ex finite964658038_int_n) (fun (X2:finite964658038_int_n)=> ((member27055245_int_n X2) top_to131672412_int_n))) of role axiom named fact_183_UNIV__witness
% 0.72/0.91 A new axiom: ((ex finite964658038_int_n) (fun (X2:finite964658038_int_n)=> ((member27055245_int_n X2) top_to131672412_int_n)))
% 0.72/0.91 FOF formula (forall (A3:set_se2111327970real_n), ((forall (X2:set_Fi1058188332real_n), ((member223413699real_n X2) A3))->(((eq set_se2111327970real_n) top_to20708754real_n) A3))) of role axiom named fact_184_UNIV__eq__I
% 0.72/0.91 A new axiom: (forall (A3:set_se2111327970real_n), ((forall (X2:set_Fi1058188332real_n), ((member223413699real_n X2) A3))->(((eq set_se2111327970real_n) top_to20708754real_n) A3)))
% 0.72/0.91 FOF formula (forall (A3:set_o), ((forall (X2:Prop), ((member_o X2) A3))->(((eq set_o) top_top_set_o) A3))) of role axiom named fact_185_UNIV__eq__I
% 0.72/0.91 A new axiom: (forall (A3:set_o), ((forall (X2:Prop), ((member_o X2) A3))->(((eq set_o) top_top_set_o) A3)))
% 0.72/0.91 FOF formula (forall (A3:set_nat), ((forall (X2:nat), ((member_nat X2) A3))->(((eq set_nat) top_top_set_nat) A3))) of role axiom named fact_186_UNIV__eq__I
% 0.72/0.91 A new axiom: (forall (A3:set_nat), ((forall (X2:nat), ((member_nat X2) A3))->(((eq set_nat) top_top_set_nat) A3)))
% 0.72/0.91 FOF formula (forall (A3:set_Fi160064172_int_n), ((forall (X2:finite964658038_int_n), ((member27055245_int_n X2) A3))->(((eq set_Fi160064172_int_n) top_to131672412_int_n) A3))) of role axiom named fact_187_UNIV__eq__I
% 0.72/0.91 A new axiom: (forall (A3:set_Fi160064172_int_n), ((forall (X2:finite964658038_int_n), ((member27055245_int_n X2) A3))->(((eq set_Fi160064172_int_n) top_to131672412_int_n) A3)))
% 0.72/0.91 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n B2) C2))) ((inf_in1974387902real_n B2) ((inf_in1974387902real_n A3) C2)))) of role axiom named fact_188_Int__left__commute
% 0.72/0.91 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n B2) C2))) ((inf_in1974387902real_n B2) ((inf_in1974387902real_n A3) C2))))
% 0.72/0.91 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n A3) B2))) ((inf_in1974387902real_n A3) B2))) of role axiom named fact_189_Int__left__absorb
% 0.72/0.91 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n A3) B2))) ((inf_in1974387902real_n A3) B2)))
% 0.72/0.91 FOF formula (((eq (set_Fi1058188332real_n->(set_Fi1058188332real_n->set_Fi1058188332real_n))) inf_in1974387902real_n) (fun (A4:set_Fi1058188332real_n) (B3:set_Fi1058188332real_n)=> ((inf_in1974387902real_n B3) A4))) of role axiom named fact_190_Int__commute
% 0.72/0.91 A new axiom: (((eq (set_Fi1058188332real_n->(set_Fi1058188332real_n->set_Fi1058188332real_n))) inf_in1974387902real_n) (fun (A4:set_Fi1058188332real_n) (B3:set_Fi1058188332real_n)=> ((inf_in1974387902real_n B3) A4)))
% 0.72/0.91 FOF formula (forall (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) A3)) A3)) of role axiom named fact_191_Int__absorb
% 0.72/0.91 A new axiom: (forall (A3:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n A3) A3)) A3))
% 0.72/0.91 FOF formula (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n ((inf_in1974387902real_n A3) B2)) C2)) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n B2) C2)))) of role axiom named fact_192_Int__assoc
% 0.72/0.91 A new axiom: (forall (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n) (C2:set_Fi1058188332real_n), (((eq set_Fi1058188332real_n) ((inf_in1974387902real_n ((inf_in1974387902real_n A3) B2)) C2)) ((inf_in1974387902real_n A3) ((inf_in1974387902real_n B2) C2))))
% 0.72/0.91 FOF formula (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((member223413699real_n C) B2))) of role axiom named fact_193_IntD2
% 0.72/0.91 A new axiom: (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((member223413699real_n C) B2)))
% 0.72/0.91 FOF formula (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((member_o C) B2))) of role axiom named fact_194_IntD2
% 0.72/0.91 A new axiom: (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((member_o C) B2)))
% 0.72/0.91 FOF formula (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((member1352538125real_n C) B2))) of role axiom named fact_195_IntD2
% 0.72/0.91 A new axiom: (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((member1352538125real_n C) B2)))
% 0.72/0.91 FOF formula (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((member223413699real_n C) A3))) of role axiom named fact_196_IntD1
% 0.72/0.91 A new axiom: (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((member223413699real_n C) A3)))
% 0.72/0.91 FOF formula (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((member_o C) A3))) of role axiom named fact_197_IntD1
% 0.72/0.91 A new axiom: (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((member_o C) A3)))
% 0.72/0.91 FOF formula (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((member1352538125real_n C) A3))) of role axiom named fact_198_IntD1
% 0.72/0.91 A new axiom: (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((member1352538125real_n C) A3)))
% 0.72/0.91 FOF formula (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((((member223413699real_n C) A3)->(((member223413699real_n C) B2)->False))->False))) of role axiom named fact_199_IntE
% 0.72/0.91 A new axiom: (forall (C:set_Fi1058188332real_n) (A3:set_se2111327970real_n) (B2:set_se2111327970real_n), (((member223413699real_n C) ((inf_in632889204real_n A3) B2))->((((member223413699real_n C) A3)->(((member223413699real_n C) B2)->False))->False)))
% 0.72/0.91 FOF formula (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((((member_o C) A3)->(((member_o C) B2)->False))->False))) of role axiom named fact_200_IntE
% 0.72/0.91 A new axiom: (forall (C:Prop) (A3:set_o) (B2:set_o), (((member_o C) ((inf_inf_set_o A3) B2))->((((member_o C) A3)->(((member_o C) B2)->False))->False)))
% 0.72/0.91 FOF formula (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((((member1352538125real_n C) A3)->(((member1352538125real_n C) B2)->False))->False))) of role axiom named fact_201_IntE
% 0.72/0.91 A new axiom: (forall (C:finite1489363574real_n) (A3:set_Fi1058188332real_n) (B2:set_Fi1058188332real_n), (((member1352538125real_n C) ((inf_in1974387902real_n A3) B2))->((((member1352538125real_n C) A3)->(((member1352538125real_n C) B2)->False))->False)))
% 0.72/0.91 <<<_n] :
% 0.72/0.91 ( ( member223413699real_n @ A3 @ ( comple1917283637real_n @ C2 ) )
% 0.72/0.91 => ~ !>>>!!!<<< [X6: set_se2111327970real_n] :
% 0.72/0.91 ( ( member223413699real_n @ A3 @ X6 )
% 0.72/0.91 >>>
% 0.72/0.91 statestack=[0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 22, 30, 36, 43, 50, 99, 113, 185, 229, 265, 285, 300, 221, 120, 187, 124]
% 0.72/0.92 symstack=[$end, TPTP_file_pre, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, 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TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, TPTP_input, LexToken(THF,'thf',1,93444), LexToken(LPAR,'(',1,93447), name, LexToken(COMMA,',',1,93463), formula_role, LexToken(COMMA,',',1,93469), LexToken(LPAR,'(',1,93470), thf_quantified_formula_PRE, thf_quantifier, LexToken(LBRACKET,'[',1,93478), thf_variable_list, LexToken(RBRACKET,']',1,93531), LexToken(COLON,':',1,93533), LexToken(LPAR,'(',1,93541), thf_unitary_formula, thf_pair_connective, unary_connective]
% 0.72/0.92 Unexpected exception Syntax error at '!':BANG
% 0.72/0.92 Traceback (most recent call last):
% 0.72/0.92 File "CASC.py", line 79, in <module>
% 0.72/0.92 problem=TPTP.TPTPproblem(env=environment,debug=1,file=file)
% 0.72/0.92 File "/export/starexec/sandbox2/solver/bin/TPTP.py", line 38, in __init__
% 0.72/0.92 parser.parse(file.read(),debug=0,lexer=lexer)
% 0.72/0.92 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 265, in parse
% 0.72/0.92 return self.parseopt_notrack(input,lexer,debug,tracking,tokenfunc)
% 0.72/0.92 File "/export/starexec/sandbox2/solver/bin/ply/yacc.py", line 1047, in parseopt_notrack
% 0.72/0.92 tok = self.errorfunc(errtoken)
% 0.72/0.92 File "/export/starexec/sandbox2/solver/bin/TPTPparser.py", line 2099, in p_error
% 0.72/0.92 raise TPTPParsingError("Syntax error at '%s':%s" % (t.value,t.type))
% 0.72/0.92 TPTPparser.TPTPParsingError: Syntax error at '!':BANG
%------------------------------------------------------------------------------