TSTP Solution File: LAT292+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:58:07 EDT 2023
% Result : Theorem 1.19s 1.32s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.37 % Computer : n025.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 24 07:36:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 1.19/1.28 %-------------------------------------------
% 1.19/1.28 % File :CSE---1.6
% 1.19/1.28 % Problem :theBenchmark
% 1.19/1.28 % Transform :cnf
% 1.19/1.28 % Format :tptp:raw
% 1.19/1.28 % Command :java -jar mcs_scs.jar %d %s
% 1.19/1.28
% 1.19/1.28 % Result :Theorem 0.600000s
% 1.19/1.28 % Output :CNFRefutation 0.600000s
% 1.19/1.28 %-------------------------------------------
% 1.19/1.29 %------------------------------------------------------------------------------
% 1.19/1.29 % File : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 1.19/1.29 % Domain : Lattice Theory
% 1.19/1.29 % Problem : Representation Theorem for Boolean Algebras T44
% 1.19/1.29 % Version : [Urb08] axioms : Especial.
% 1.19/1.29 % English :
% 1.19/1.29
% 1.19/1.29 % Refs : [Wal93] Walijewski (1993), Representation Theorem for Boolean
% 1.19/1.29 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 1.19/1.29 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 1.19/1.29 % Source : [Urb08]
% 1.19/1.29 % Names : t44_lopclset [Urb08]
% 1.19/1.29
% 1.19/1.29 % Status : Theorem
% 1.19/1.29 % Rating : 0.25 v7.5.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.42 v4.1.0, 0.39 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0
% 1.19/1.29 % Syntax : Number of formulae : 112 ( 16 unt; 0 def)
% 1.19/1.29 % Number of atoms : 512 ( 16 equ)
% 1.19/1.29 % Maximal formula atoms : 17 ( 4 avg)
% 1.19/1.29 % Number of connectives : 477 ( 77 ~; 1 |; 293 &)
% 1.19/1.29 % ( 4 <=>; 102 =>; 0 <=; 0 <~>)
% 1.19/1.29 % Maximal formula depth : 19 ( 6 avg)
% 1.19/1.29 % Maximal term depth : 4 ( 1 avg)
% 1.19/1.29 % Number of predicates : 53 ( 51 usr; 1 prp; 0-3 aty)
% 1.19/1.29 % Number of functors : 16 ( 16 usr; 1 con; 0-3 aty)
% 1.19/1.29 % Number of variables : 173 ( 143 !; 30 ?)
% 1.19/1.29 % SPC : FOF_THM_RFO_SEQ
% 1.19/1.29
% 1.19/1.29 % Comments : Normal version: includes the axioms (which may be theorems from
% 1.19/1.29 % other articles) and background that are possibly necessary.
% 1.19/1.29 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 1.19/1.29 % : The problem encoding is based on set theory.
% 1.19/1.29 %------------------------------------------------------------------------------
% 1.19/1.29 fof(t44_lopclset,conjecture,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( ( ~ v3_struct_0(A)
% 1.19/1.29 & v10_lattices(A)
% 1.19/1.29 & v17_lattices(A)
% 1.19/1.29 & ~ v3_realset2(A)
% 1.19/1.29 & l3_lattices(A) )
% 1.19/1.29 => ? [B] :
% 1.19/1.29 ( ~ v3_struct_0(B)
% 1.19/1.29 & v2_pre_topc(B)
% 1.19/1.29 & l1_pre_topc(B)
% 1.19/1.29 & r1_filter_1(A,k6_lopclset(B)) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(abstractness_v1_pre_topc,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( l1_pre_topc(A)
% 1.19/1.29 => ( v1_pre_topc(A)
% 1.19/1.29 => A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(abstractness_v3_lattices,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( l3_lattices(A)
% 1.19/1.29 => ( v3_lattices(A)
% 1.19/1.29 => A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(antisymmetry_r2_hidden,axiom,
% 1.19/1.29 ! [A,B] :
% 1.19/1.29 ( r2_hidden(A,B)
% 1.19/1.29 => ~ r2_hidden(B,A) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc10_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v1_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,A)
% 1.19/1.29 => v1_xcmplx_0(B) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc11_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v2_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,A)
% 1.19/1.29 => ( v1_xcmplx_0(B)
% 1.19/1.29 & v1_xreal_0(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc12_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v3_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,A)
% 1.19/1.29 => ( v1_xcmplx_0(B)
% 1.19/1.29 & v1_xreal_0(B)
% 1.19/1.29 & v1_rat_1(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc13_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v4_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,A)
% 1.19/1.29 => ( v1_xcmplx_0(B)
% 1.19/1.29 & v1_xreal_0(B)
% 1.19/1.29 & v1_int_1(B)
% 1.19/1.29 & v1_rat_1(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc14_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v5_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,A)
% 1.19/1.29 => ( v1_xcmplx_0(B)
% 1.19/1.29 & v4_ordinal2(B)
% 1.19/1.29 & v1_xreal_0(B)
% 1.19/1.29 & v1_int_1(B)
% 1.19/1.29 & v1_rat_1(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc15_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v1_xboole_0(A)
% 1.19/1.29 => ( v1_membered(A)
% 1.19/1.29 & v2_membered(A)
% 1.19/1.29 & v3_membered(A)
% 1.19/1.29 & v4_membered(A)
% 1.19/1.29 & v5_membered(A) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc16_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v1_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.29 => v1_membered(B) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc17_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v2_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.29 => ( v1_membered(B)
% 1.19/1.29 & v2_membered(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc18_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.29 ( v3_membered(A)
% 1.19/1.29 => ! [B] :
% 1.19/1.29 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.29 => ( v1_membered(B)
% 1.19/1.29 & v2_membered(B)
% 1.19/1.29 & v3_membered(B) ) ) ) ).
% 1.19/1.29
% 1.19/1.29 fof(cc19_membered,axiom,
% 1.19/1.29 ! [A] :
% 1.19/1.30 ( v4_membered(A)
% 1.19/1.30 => ! [B] :
% 1.19/1.30 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.30 => ( v1_membered(B)
% 1.19/1.30 & v2_membered(B)
% 1.19/1.30 & v3_membered(B)
% 1.19/1.30 & v4_membered(B) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_finset_1,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v1_xboole_0(A)
% 1.19/1.30 => v1_finset_1(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_finsub_1,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v4_finsub_1(A)
% 1.19/1.30 => ( v1_finsub_1(A)
% 1.19/1.30 & v3_finsub_1(A) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_funct_2,axiom,
% 1.19/1.30 ! [A,B,C] :
% 1.19/1.30 ( m1_relset_1(C,A,B)
% 1.19/1.30 => ( ( v1_funct_1(C)
% 1.19/1.30 & v1_partfun1(C,A,B) )
% 1.19/1.30 => ( v1_funct_1(C)
% 1.19/1.30 & v1_funct_2(C,A,B) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v10_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v4_lattices(A)
% 1.19/1.30 & v5_lattices(A)
% 1.19/1.30 & v6_lattices(A)
% 1.19/1.30 & v7_lattices(A)
% 1.19/1.30 & v8_lattices(A)
% 1.19/1.30 & v9_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_membered,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v5_membered(A)
% 1.19/1.30 => v4_membered(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc1_relset_1,axiom,
% 1.19/1.30 ! [A,B,C] :
% 1.19/1.30 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 1.19/1.30 => v1_relat_1(C) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc20_membered,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v5_membered(A)
% 1.19/1.30 => ! [B] :
% 1.19/1.30 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.30 => ( v1_membered(B)
% 1.19/1.30 & v2_membered(B)
% 1.19/1.30 & v3_membered(B)
% 1.19/1.30 & v4_membered(B)
% 1.19/1.30 & v5_membered(B) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc2_finset_1,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v1_finset_1(A)
% 1.19/1.30 => ! [B] :
% 1.19/1.30 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.30 => v1_finset_1(B) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc2_finsub_1,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( ( v1_finsub_1(A)
% 1.19/1.30 & v3_finsub_1(A) )
% 1.19/1.30 => v4_finsub_1(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc2_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v4_lattices(A)
% 1.19/1.30 & v5_lattices(A)
% 1.19/1.30 & v6_lattices(A)
% 1.19/1.30 & v7_lattices(A)
% 1.19/1.30 & v8_lattices(A)
% 1.19/1.30 & v9_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v10_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc2_membered,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v4_membered(A)
% 1.19/1.30 => v3_membered(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc3_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v13_lattices(A)
% 1.19/1.30 & v14_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v15_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc3_membered,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v3_membered(A)
% 1.19/1.30 => v2_membered(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc4_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v15_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v13_lattices(A)
% 1.19/1.30 & v14_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc4_membered,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( v2_membered(A)
% 1.19/1.30 => v1_membered(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc5_funct_2,axiom,
% 1.19/1.30 ! [A,B] :
% 1.19/1.30 ( ~ v1_xboole_0(B)
% 1.19/1.30 => ! [C] :
% 1.19/1.30 ( m1_relset_1(C,A,B)
% 1.19/1.30 => ( ( v1_funct_1(C)
% 1.19/1.30 & v1_funct_2(C,A,B) )
% 1.19/1.30 => ( v1_funct_1(C)
% 1.19/1.30 & v1_partfun1(C,A,B)
% 1.19/1.30 & v1_funct_2(C,A,B) ) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc5_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v17_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v11_lattices(A)
% 1.19/1.30 & v13_lattices(A)
% 1.19/1.30 & v14_lattices(A)
% 1.19/1.30 & v15_lattices(A)
% 1.19/1.30 & v16_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc6_funct_2,axiom,
% 1.19/1.30 ! [A,B] :
% 1.19/1.30 ( ( ~ v1_xboole_0(A)
% 1.19/1.30 & ~ v1_xboole_0(B) )
% 1.19/1.30 => ! [C] :
% 1.19/1.30 ( m1_relset_1(C,A,B)
% 1.19/1.30 => ( ( v1_funct_1(C)
% 1.19/1.30 & v1_funct_2(C,A,B) )
% 1.19/1.30 => ( v1_funct_1(C)
% 1.19/1.30 & ~ v1_xboole_0(C)
% 1.19/1.30 & v1_partfun1(C,A,B)
% 1.19/1.30 & v1_funct_2(C,A,B) ) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc6_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v11_lattices(A)
% 1.19/1.30 & v15_lattices(A)
% 1.19/1.30 & v16_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v17_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(cc7_lattices,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( l3_lattices(A)
% 1.19/1.30 => ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v10_lattices(A)
% 1.19/1.30 & v11_lattices(A) )
% 1.19/1.30 => ( ~ v3_struct_0(A)
% 1.19/1.30 & v4_lattices(A)
% 1.19/1.30 & v5_lattices(A)
% 1.19/1.30 & v6_lattices(A)
% 1.19/1.30 & v7_lattices(A)
% 1.19/1.30 & v8_lattices(A)
% 1.19/1.30 & v9_lattices(A)
% 1.19/1.30 & v10_lattices(A)
% 1.19/1.30 & v12_lattices(A) ) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(d1_lopclset,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( ( ~ v3_struct_0(A)
% 1.19/1.30 & l1_pre_topc(A) )
% 1.19/1.30 => k1_lopclset(A) = a_1_0_lopclset(A) ) ).
% 1.19/1.30
% 1.19/1.30 fof(d4_lopclset,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v2_pre_topc(A)
% 1.19/1.30 & l1_pre_topc(A) )
% 1.19/1.30 => k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) ) ).
% 1.19/1.30
% 1.19/1.30 fof(d9_lopclset,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v10_lattices(A)
% 1.19/1.30 & v17_lattices(A)
% 1.19/1.30 & ~ v3_realset2(A)
% 1.19/1.30 & l3_lattices(A) )
% 1.19/1.30 => k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ) ).
% 1.19/1.30
% 1.19/1.30 fof(dt_g1_pre_topc,axiom,
% 1.19/1.30 ! [A,B] :
% 1.19/1.30 ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
% 1.19/1.30 => ( v1_pre_topc(g1_pre_topc(A,B))
% 1.19/1.30 & l1_pre_topc(g1_pre_topc(A,B)) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(dt_g3_lattices,axiom,
% 1.19/1.30 ! [A,B,C] :
% 1.19/1.30 ( ( v1_funct_1(B)
% 1.19/1.30 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 1.19/1.30 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 1.19/1.30 & v1_funct_1(C)
% 1.19/1.30 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 1.19/1.30 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 1.19/1.30 => ( v3_lattices(g3_lattices(A,B,C))
% 1.19/1.30 & l3_lattices(g3_lattices(A,B,C)) ) ) ).
% 1.19/1.30
% 1.19/1.30 fof(dt_k11_lopclset,axiom,
% 1.19/1.30 ! [A] :
% 1.19/1.30 ( ( ~ v3_struct_0(A)
% 1.19/1.30 & v10_lattices(A)
% 1.19/1.30 & v17_lattices(A)
% 1.19/1.30 & ~ v3_realset2(A)
% 1.19/1.30 & l3_lattices(A) )
% 1.19/1.30 => ( v1_pre_topc(k11_lopclset(A))
% 1.19/1.31 & v2_pre_topc(k11_lopclset(A))
% 1.19/1.31 & l1_pre_topc(k11_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k12_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v17_lattices(A)
% 1.19/1.31 & ~ v3_realset2(A)
% 1.19/1.31 & l3_lattices(A) )
% 1.19/1.31 => ( ~ v3_struct_0(k12_lopclset(A))
% 1.19/1.31 & v10_lattices(k12_lopclset(A))
% 1.19/1.31 & l3_lattices(k12_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k1_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & l1_pre_topc(A) )
% 1.19/1.31 => m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k1_xboole_0,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k1_zfmisc_1,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k2_zfmisc_1,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k4_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v2_pre_topc(A)
% 1.19/1.31 & l1_pre_topc(A) )
% 1.19/1.31 => ( v1_funct_1(k4_lopclset(A))
% 1.19/1.31 & v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
% 1.19/1.31 & m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k5_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v2_pre_topc(A)
% 1.19/1.31 & l1_pre_topc(A) )
% 1.19/1.31 => ( v1_funct_1(k5_lopclset(A))
% 1.19/1.31 & v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))
% 1.19/1.31 & m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_k6_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v2_pre_topc(A)
% 1.19/1.31 & l1_pre_topc(A) )
% 1.19/1.31 => ( ~ v3_struct_0(k6_lopclset(A))
% 1.19/1.31 & v10_lattices(k6_lopclset(A))
% 1.19/1.31 & l3_lattices(k6_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_l1_lattices,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l1_lattices(A)
% 1.19/1.31 => l1_struct_0(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_l1_pre_topc,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l1_pre_topc(A)
% 1.19/1.31 => l1_struct_0(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_l1_struct_0,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_l2_lattices,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l2_lattices(A)
% 1.19/1.31 => l1_struct_0(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_l3_lattices,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 => ( l1_lattices(A)
% 1.19/1.31 & l2_lattices(A) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_m1_relset_1,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_m1_subset_1,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_m2_relset_1,axiom,
% 1.19/1.31 ! [A,B,C] :
% 1.19/1.31 ( m2_relset_1(C,A,B)
% 1.19/1.31 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_u1_lattices,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l1_lattices(A)
% 1.19/1.31 => ( v1_funct_1(u1_lattices(A))
% 1.19/1.31 & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 1.19/1.31 & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_u1_pre_topc,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l1_pre_topc(A)
% 1.19/1.31 => m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ).
% 1.19/1.31
% 1.19/1.31 fof(dt_u1_struct_0,axiom,
% 1.19/1.31 $true ).
% 1.19/1.31
% 1.19/1.31 fof(dt_u2_lattices,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( l2_lattices(A)
% 1.19/1.31 => ( v1_funct_1(u2_lattices(A))
% 1.19/1.31 & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 1.19/1.31 & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_l1_lattices,axiom,
% 1.19/1.31 ? [A] : l1_lattices(A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_l1_pre_topc,axiom,
% 1.19/1.31 ? [A] : l1_pre_topc(A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_l1_struct_0,axiom,
% 1.19/1.31 ? [A] : l1_struct_0(A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_l2_lattices,axiom,
% 1.19/1.31 ? [A] : l2_lattices(A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_l3_lattices,axiom,
% 1.19/1.31 ? [A] : l3_lattices(A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_m1_relset_1,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ? [C] : m1_relset_1(C,A,B) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_m1_subset_1,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ? [B] : m1_subset_1(B,A) ).
% 1.19/1.31
% 1.19/1.31 fof(existence_m2_relset_1,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ? [C] : m2_relset_1(C,A,B) ).
% 1.19/1.31
% 1.19/1.31 fof(fc14_finset_1,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ( ( v1_finset_1(A)
% 1.19/1.31 & v1_finset_1(B) )
% 1.19/1.31 => v1_finset_1(k2_zfmisc_1(A,B)) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc1_finsub_1,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ~ v1_xboole_0(k1_zfmisc_1(A))
% 1.19/1.31 & v1_finsub_1(k1_zfmisc_1(A))
% 1.19/1.31 & v3_finsub_1(k1_zfmisc_1(A))
% 1.19/1.31 & v4_finsub_1(k1_zfmisc_1(A)) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc1_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v2_pre_topc(A)
% 1.19/1.31 & l1_pre_topc(A) )
% 1.19/1.31 => ~ v1_xboole_0(k1_lopclset(A)) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc1_struct_0,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & l1_struct_0(A) )
% 1.19/1.31 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc3_lattices,axiom,
% 1.19/1.31 ! [A,B,C] :
% 1.19/1.31 ( ( ~ v1_xboole_0(A)
% 1.19/1.31 & v1_funct_1(B)
% 1.19/1.31 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & v1_funct_1(C)
% 1.19/1.31 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 1.19/1.31 => ( ~ v3_struct_0(g3_lattices(A,B,C))
% 1.19/1.31 & v3_lattices(g3_lattices(A,B,C)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc4_lopclset,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ( ~ v3_struct_0(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v17_lattices(A)
% 1.19/1.31 & ~ v3_realset2(A)
% 1.19/1.31 & l3_lattices(A) )
% 1.19/1.31 => ( ~ v3_struct_0(k11_lopclset(A))
% 1.19/1.31 & v1_pre_topc(k11_lopclset(A))
% 1.19/1.31 & v2_pre_topc(k11_lopclset(A)) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fc6_membered,axiom,
% 1.19/1.31 ( v1_xboole_0(k1_xboole_0)
% 1.19/1.31 & v1_membered(k1_xboole_0)
% 1.19/1.31 & v2_membered(k1_xboole_0)
% 1.19/1.31 & v3_membered(k1_xboole_0)
% 1.19/1.31 & v4_membered(k1_xboole_0)
% 1.19/1.31 & v5_membered(k1_xboole_0) ) ).
% 1.19/1.31
% 1.19/1.31 fof(fraenkel_a_1_0_lopclset,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ( ( ~ v3_struct_0(B)
% 1.19/1.31 & l1_pre_topc(B) )
% 1.19/1.31 => ( r2_hidden(A,a_1_0_lopclset(B))
% 1.19/1.31 <=> ? [C] :
% 1.19/1.31 ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
% 1.19/1.31 & A = C
% 1.19/1.31 & v3_pre_topc(C,B)
% 1.19/1.31 & v4_pre_topc(C,B) ) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(free_g1_pre_topc,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
% 1.19/1.31 => ! [C,D] :
% 1.19/1.31 ( g1_pre_topc(A,B) = g1_pre_topc(C,D)
% 1.19/1.31 => ( A = C
% 1.19/1.31 & B = D ) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(free_g3_lattices,axiom,
% 1.19/1.31 ! [A,B,C] :
% 1.19/1.31 ( ( v1_funct_1(B)
% 1.19/1.31 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & v1_funct_1(C)
% 1.19/1.31 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 1.19/1.31 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 1.19/1.31 => ! [D,E,F] :
% 1.19/1.31 ( g3_lattices(A,B,C) = g3_lattices(D,E,F)
% 1.19/1.31 => ( A = D
% 1.19/1.31 & B = E
% 1.19/1.31 & C = F ) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc10_lattices,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v3_lattices(A)
% 1.19/1.31 & v4_lattices(A)
% 1.19/1.31 & v5_lattices(A)
% 1.19/1.31 & v6_lattices(A)
% 1.19/1.31 & v7_lattices(A)
% 1.19/1.31 & v8_lattices(A)
% 1.19/1.31 & v9_lattices(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v11_lattices(A)
% 1.19/1.31 & v12_lattices(A)
% 1.19/1.31 & v13_lattices(A)
% 1.19/1.31 & v14_lattices(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc11_lattices,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v3_lattices(A)
% 1.19/1.31 & v4_lattices(A)
% 1.19/1.31 & v5_lattices(A)
% 1.19/1.31 & v6_lattices(A)
% 1.19/1.31 & v7_lattices(A)
% 1.19/1.31 & v8_lattices(A)
% 1.19/1.31 & v9_lattices(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v13_lattices(A)
% 1.19/1.31 & v14_lattices(A)
% 1.19/1.31 & v15_lattices(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc12_lattices,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v3_lattices(A)
% 1.19/1.31 & v4_lattices(A)
% 1.19/1.31 & v5_lattices(A)
% 1.19/1.31 & v6_lattices(A)
% 1.19/1.31 & v7_lattices(A)
% 1.19/1.31 & v8_lattices(A)
% 1.19/1.31 & v9_lattices(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v13_lattices(A)
% 1.19/1.31 & v14_lattices(A)
% 1.19/1.31 & v15_lattices(A)
% 1.19/1.31 & v16_lattices(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc13_lattices,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v3_lattices(A)
% 1.19/1.31 & v4_lattices(A)
% 1.19/1.31 & v5_lattices(A)
% 1.19/1.31 & v6_lattices(A)
% 1.19/1.31 & v7_lattices(A)
% 1.19/1.31 & v8_lattices(A)
% 1.19/1.31 & v9_lattices(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v11_lattices(A)
% 1.19/1.31 & v13_lattices(A)
% 1.19/1.31 & v14_lattices(A)
% 1.19/1.31 & v15_lattices(A)
% 1.19/1.31 & v16_lattices(A)
% 1.19/1.31 & v17_lattices(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc1_finset_1,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( ~ v1_xboole_0(A)
% 1.19/1.31 & v1_finset_1(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc1_funct_2,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ? [C] :
% 1.19/1.31 ( m1_relset_1(C,A,B)
% 1.19/1.31 & v1_relat_1(C)
% 1.19/1.31 & v1_funct_1(C)
% 1.19/1.31 & v1_funct_2(C,A,B) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc1_lopclset,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v4_lattices(A)
% 1.19/1.31 & v5_lattices(A)
% 1.19/1.31 & v6_lattices(A)
% 1.19/1.31 & v7_lattices(A)
% 1.19/1.31 & v8_lattices(A)
% 1.19/1.31 & v9_lattices(A)
% 1.19/1.31 & v10_lattices(A)
% 1.19/1.31 & v11_lattices(A)
% 1.19/1.31 & v12_lattices(A)
% 1.19/1.31 & v13_lattices(A)
% 1.19/1.31 & v14_lattices(A)
% 1.19/1.31 & v15_lattices(A)
% 1.19/1.31 & v16_lattices(A)
% 1.19/1.31 & v17_lattices(A)
% 1.19/1.31 & ~ v3_realset2(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc1_membered,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( ~ v1_xboole_0(A)
% 1.19/1.31 & v1_membered(A)
% 1.19/1.31 & v2_membered(A)
% 1.19/1.31 & v3_membered(A)
% 1.19/1.31 & v4_membered(A)
% 1.19/1.31 & v5_membered(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc1_pre_topc,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l1_pre_topc(A)
% 1.19/1.31 & v1_pre_topc(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc2_partfun1,axiom,
% 1.19/1.31 ! [A,B] :
% 1.19/1.31 ? [C] :
% 1.19/1.31 ( m1_relset_1(C,A,B)
% 1.19/1.31 & v1_relat_1(C)
% 1.19/1.31 & v1_funct_1(C) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc2_pre_topc,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l1_pre_topc(A)
% 1.19/1.31 & ~ v3_struct_0(A)
% 1.19/1.31 & v1_pre_topc(A)
% 1.19/1.31 & v2_pre_topc(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc3_finset_1,axiom,
% 1.19/1.31 ! [A] :
% 1.19/1.31 ( ~ v1_xboole_0(A)
% 1.19/1.31 => ? [B] :
% 1.19/1.31 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.31 & ~ v1_xboole_0(B)
% 1.19/1.31 & v1_finset_1(B) ) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc3_lattices,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l3_lattices(A)
% 1.19/1.31 & v3_lattices(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc3_struct_0,axiom,
% 1.19/1.31 ? [A] :
% 1.19/1.31 ( l1_struct_0(A)
% 1.19/1.31 & ~ v3_struct_0(A) ) ).
% 1.19/1.31
% 1.19/1.31 fof(rc4_finset_1,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( ~ v1_xboole_0(A)
% 1.19/1.32 => ? [B] :
% 1.19/1.32 ( m1_subset_1(B,k1_zfmisc_1(A))
% 1.19/1.32 & ~ v1_xboole_0(B)
% 1.19/1.32 & v1_finset_1(B) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(rc5_struct_0,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( ( ~ v3_struct_0(A)
% 1.19/1.32 & l1_struct_0(A) )
% 1.19/1.32 => ? [B] :
% 1.19/1.32 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.19/1.32 & ~ v1_xboole_0(B) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(rc6_lattices,axiom,
% 1.19/1.32 ? [A] :
% 1.19/1.32 ( l3_lattices(A)
% 1.19/1.32 & ~ v3_struct_0(A)
% 1.19/1.32 & v3_lattices(A) ) ).
% 1.19/1.32
% 1.19/1.32 fof(rc6_pre_topc,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( ( v2_pre_topc(A)
% 1.19/1.32 & l1_pre_topc(A) )
% 1.19/1.32 => ? [B] :
% 1.19/1.32 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.19/1.32 & v4_pre_topc(B,A) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(rc7_pre_topc,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( ( ~ v3_struct_0(A)
% 1.19/1.32 & v2_pre_topc(A)
% 1.19/1.32 & l1_pre_topc(A) )
% 1.19/1.32 => ? [B] :
% 1.19/1.32 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 1.19/1.32 & ~ v1_xboole_0(B)
% 1.19/1.32 & v4_pre_topc(B,A) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(rc9_lattices,axiom,
% 1.19/1.32 ? [A] :
% 1.19/1.32 ( l3_lattices(A)
% 1.19/1.32 & ~ v3_struct_0(A)
% 1.19/1.32 & v3_lattices(A)
% 1.19/1.32 & v4_lattices(A)
% 1.19/1.32 & v5_lattices(A)
% 1.19/1.32 & v6_lattices(A)
% 1.19/1.32 & v7_lattices(A)
% 1.19/1.32 & v8_lattices(A)
% 1.19/1.32 & v9_lattices(A)
% 1.19/1.32 & v10_lattices(A) ) ).
% 1.19/1.32
% 1.19/1.32 fof(redefinition_m2_relset_1,axiom,
% 1.19/1.32 ! [A,B,C] :
% 1.19/1.32 ( m2_relset_1(C,A,B)
% 1.19/1.32 <=> m1_relset_1(C,A,B) ) ).
% 1.19/1.32
% 1.19/1.32 fof(reflexivity_r1_filter_1,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( ( ~ v3_struct_0(A)
% 1.19/1.32 & v10_lattices(A)
% 1.19/1.32 & l3_lattices(A)
% 1.19/1.32 & ~ v3_struct_0(B)
% 1.19/1.32 & v10_lattices(B)
% 1.19/1.32 & l3_lattices(B) )
% 1.19/1.32 => r1_filter_1(A,A) ) ).
% 1.19/1.32
% 1.19/1.32 fof(reflexivity_r1_tarski,axiom,
% 1.19/1.32 ! [A,B] : r1_tarski(A,A) ).
% 1.19/1.32
% 1.19/1.32 fof(symmetry_r1_filter_1,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( ( ~ v3_struct_0(A)
% 1.19/1.32 & v10_lattices(A)
% 1.19/1.32 & l3_lattices(A)
% 1.19/1.32 & ~ v3_struct_0(B)
% 1.19/1.32 & v10_lattices(B)
% 1.19/1.32 & l3_lattices(B) )
% 1.19/1.32 => ( r1_filter_1(A,B)
% 1.19/1.32 => r1_filter_1(B,A) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t1_subset,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( r2_hidden(A,B)
% 1.19/1.32 => m1_subset_1(A,B) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t2_subset,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( m1_subset_1(A,B)
% 1.19/1.32 => ( v1_xboole_0(B)
% 1.19/1.32 | r2_hidden(A,B) ) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t2_tarski,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( ! [C] :
% 1.19/1.32 ( r2_hidden(C,A)
% 1.19/1.32 <=> r2_hidden(C,B) )
% 1.19/1.32 => A = B ) ).
% 1.19/1.32
% 1.19/1.32 fof(t3_subset,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ( m1_subset_1(A,k1_zfmisc_1(B))
% 1.19/1.32 <=> r1_tarski(A,B) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t43_lopclset,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( ( ~ v3_struct_0(A)
% 1.19/1.32 & v10_lattices(A)
% 1.19/1.32 & v17_lattices(A)
% 1.19/1.32 & ~ v3_realset2(A)
% 1.19/1.32 & l3_lattices(A) )
% 1.19/1.32 => r1_filter_1(A,k12_lopclset(A)) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t4_subset,axiom,
% 1.19/1.32 ! [A,B,C] :
% 1.19/1.32 ( ( r2_hidden(A,B)
% 1.19/1.32 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 1.19/1.32 => m1_subset_1(A,C) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t5_subset,axiom,
% 1.19/1.32 ! [A,B,C] :
% 1.19/1.32 ~ ( r2_hidden(A,B)
% 1.19/1.32 & m1_subset_1(B,k1_zfmisc_1(C))
% 1.19/1.32 & v1_xboole_0(C) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t6_boole,axiom,
% 1.19/1.32 ! [A] :
% 1.19/1.32 ( v1_xboole_0(A)
% 1.19/1.32 => A = k1_xboole_0 ) ).
% 1.19/1.32
% 1.19/1.32 fof(t7_boole,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ~ ( r2_hidden(A,B)
% 1.19/1.32 & v1_xboole_0(B) ) ).
% 1.19/1.32
% 1.19/1.32 fof(t8_boole,axiom,
% 1.19/1.32 ! [A,B] :
% 1.19/1.32 ~ ( v1_xboole_0(A)
% 1.19/1.32 & A != B
% 1.19/1.32 & v1_xboole_0(B) ) ).
% 1.19/1.32
% 1.19/1.32 %------------------------------------------------------------------------------
% 1.19/1.32 %-------------------------------------------
% 1.19/1.32 % Proof found
% 1.19/1.32 % SZS status Theorem for theBenchmark
% 1.19/1.32 % SZS output start Proof
% 1.19/1.32 %ClaNum:400(EqnAxiom:105)
% 1.19/1.32 %VarNum:823(SingletonVarNum:269)
% 1.19/1.32 %MaxLitNum:9
% 1.19/1.32 %MaxfuncDepth:3
% 1.19/1.32 %SharedTerms:141
% 1.19/1.32 %goalClause: 106 113 116 227 237 353
% 1.19/1.32 %singleGoalClaCount:5
% 1.19/1.32 [106]P1(a1)
% 1.19/1.32 [107]P1(a2)
% 1.19/1.32 [108]P1(a5)
% 1.19/1.32 [109]P1(a6)
% 1.19/1.32 [110]P1(a7)
% 1.19/1.32 [111]P1(a8)
% 1.19/1.32 [112]P1(a13)
% 1.19/1.32 [113]P13(a1)
% 1.19/1.32 [114]P13(a7)
% 1.19/1.32 [115]P13(a8)
% 1.19/1.32 [116]P2(a1)
% 1.19/1.32 [117]P2(a25)
% 1.19/1.32 [118]P2(a2)
% 1.19/1.32 [119]P2(a5)
% 1.19/1.32 [120]P2(a6)
% 1.19/1.32 [121]P2(a7)
% 1.19/1.32 [122]P2(a8)
% 1.19/1.32 [123]P2(a14)
% 1.19/1.32 [124]P2(a18)
% 1.19/1.32 [125]P2(a13)
% 1.19/1.32 [126]P20(a15)
% 1.19/1.32 [127]P3(a26)
% 1.19/1.32 [128]P3(a11)
% 1.19/1.32 [129]P3(a15)
% 1.19/1.32 [130]P21(a11)
% 1.19/1.32 [131]P21(a15)
% 1.19/1.32 [132]P35(a2)
% 1.19/1.32 [133]P35(a5)
% 1.19/1.32 [134]P35(a6)
% 1.19/1.32 [135]P35(a7)
% 1.19/1.32 [136]P35(a14)
% 1.19/1.32 [137]P35(a18)
% 1.19/1.32 [138]P35(a13)
% 1.19/1.32 [139]P22(a30)
% 1.19/1.32 [140]P22(a12)
% 1.19/1.32 [141]P29(a30)
% 1.19/1.32 [142]P29(a12)
% 1.19/1.32 [143]P37(a30)
% 1.19/1.32 [144]P37(a12)
% 1.19/1.32 [145]P38(a30)
% 1.19/1.32 [146]P38(a12)
% 1.19/1.32 [147]P44(a30)
% 1.19/1.32 [148]P44(a12)
% 1.19/1.32 [149]P30(a30)
% 1.19/1.32 [150]P23(a9)
% 1.19/1.32 [151]P39(a2)
% 1.19/1.32 [152]P39(a5)
% 1.19/1.32 [153]P39(a6)
% 1.19/1.32 [154]P39(a7)
% 1.19/1.32 [155]P39(a8)
% 1.19/1.32 [156]P39(a13)
% 1.19/1.32 [157]P45(a2)
% 1.19/1.32 [158]P45(a5)
% 1.19/1.32 [159]P45(a6)
% 1.19/1.32 [160]P45(a7)
% 1.19/1.32 [161]P45(a8)
% 1.19/1.32 [162]P45(a13)
% 1.19/1.32 [163]P48(a2)
% 1.19/1.32 [164]P48(a5)
% 1.19/1.32 [165]P48(a6)
% 1.19/1.32 [166]P48(a7)
% 1.19/1.32 [167]P48(a8)
% 1.19/1.32 [168]P48(a13)
% 1.19/1.32 [169]P49(a2)
% 1.19/1.32 [170]P49(a5)
% 1.19/1.32 [171]P49(a6)
% 1.19/1.32 [172]P49(a7)
% 1.19/1.32 [173]P49(a8)
% 1.19/1.32 [174]P49(a13)
% 1.19/1.32 [175]P50(a2)
% 1.19/1.32 [176]P50(a5)
% 1.19/1.32 [177]P50(a6)
% 1.19/1.32 [178]P50(a7)
% 1.19/1.32 [179]P50(a8)
% 1.19/1.32 [180]P50(a13)
% 1.19/1.32 [181]P51(a2)
% 1.19/1.32 [182]P51(a5)
% 1.19/1.32 [183]P51(a6)
% 1.19/1.32 [184]P51(a7)
% 1.19/1.32 [185]P51(a8)
% 1.19/1.32 [186]P51(a13)
% 1.19/1.32 [187]P14(a2)
% 1.19/1.32 [188]P14(a5)
% 1.19/1.32 [189]P14(a6)
% 1.19/1.32 [190]P14(a7)
% 1.19/1.32 [191]P14(a8)
% 1.19/1.32 [192]P17(a2)
% 1.19/1.32 [193]P17(a5)
% 1.19/1.32 [194]P17(a6)
% 1.19/1.32 [195]P17(a7)
% 1.19/1.32 [196]P17(a8)
% 1.19/1.32 [197]P18(a5)
% 1.19/1.32 [198]P18(a6)
% 1.19/1.32 [199]P18(a7)
% 1.19/1.32 [200]P18(a8)
% 1.19/1.32 [201]P15(a2)
% 1.19/1.32 [202]P15(a7)
% 1.19/1.32 [203]P15(a8)
% 1.19/1.32 [204]P19(a6)
% 1.19/1.32 [205]P19(a7)
% 1.19/1.32 [206]P19(a8)
% 1.19/1.32 [207]P16(a2)
% 1.19/1.32 [208]P16(a8)
% 1.19/1.32 [209]P4(a22)
% 1.19/1.32 [210]P5(a28)
% 1.19/1.32 [211]P5(a19)
% 1.19/1.32 [212]P6(a29)
% 1.19/1.32 [227]~P41(a1)
% 1.19/1.32 [228]~P41(a2)
% 1.19/1.32 [229]~P41(a5)
% 1.19/1.32 [230]~P41(a6)
% 1.19/1.32 [231]~P41(a7)
% 1.19/1.32 [232]~P41(a8)
% 1.19/1.32 [233]~P41(a15)
% 1.19/1.32 [234]~P41(a19)
% 1.19/1.32 [235]~P41(a18)
% 1.19/1.32 [236]~P41(a13)
% 1.19/1.32 [237]~P42(a1)
% 1.19/1.32 [238]~P42(a8)
% 1.19/1.32 [239]~P30(a9)
% 1.19/1.32 [240]~P30(a12)
% 1.19/1.32 [216]P7(x2161,x2161)
% 1.19/1.32 [213]P40(f39(x2131))
% 1.19/1.32 [214]P24(f39(x2141))
% 1.19/1.32 [215]P36(f39(x2151))
% 1.19/1.32 [217]P8(f31(x2171),x2171)
% 1.19/1.32 [241]~P30(f39(x2411))
% 1.19/1.32 [218]P25(f10(x2181,x2182))
% 1.19/1.32 [219]P25(f16(x2191,x2192))
% 1.19/1.32 [220]P31(f10(x2201,x2202))
% 1.19/1.32 [221]P31(f16(x2211,x2212))
% 1.19/1.32 [222]P9(f32(x2221,x2222),x2221,x2222)
% 1.19/1.32 [223]P9(f10(x2231,x2232),x2231,x2232)
% 1.19/1.32 [224]P9(f16(x2241,x2242),x2241,x2242)
% 1.19/1.32 [225]P26(f10(x2251,x2252),x2251,x2252)
% 1.19/1.32 [226]P10(f33(x2261,x2262),x2261,x2262)
% 1.19/1.32 [242]~P30(x2421)+E(x2421,a30)
% 1.19/1.32 [243]~P29(x2431)+P22(x2431)
% 1.19/1.32 [244]~P30(x2441)+P22(x2441)
% 1.19/1.32 [245]~P37(x2451)+P29(x2451)
% 1.19/1.32 [246]~P30(x2461)+P29(x2461)
% 1.19/1.32 [247]~P38(x2471)+P37(x2471)
% 1.19/1.32 [248]~P30(x2481)+P37(x2481)
% 1.19/1.32 [249]~P44(x2491)+P38(x2491)
% 1.19/1.32 [250]~P30(x2501)+P38(x2501)
% 1.19/1.32 [251]~P30(x2511)+P44(x2511)
% 1.19/1.32 [252]~P30(x2521)+P23(x2521)
% 1.19/1.32 [253]~P40(x2531)+P24(x2531)
% 1.19/1.32 [254]~P40(x2541)+P36(x2541)
% 1.19/1.32 [255]~P2(x2551)+P4(x2551)
% 1.19/1.32 [256]~P3(x2561)+P5(x2561)
% 1.19/1.32 [257]~P4(x2571)+P5(x2571)
% 1.19/1.32 [258]~P6(x2581)+P5(x2581)
% 1.19/1.32 [259]~P2(x2591)+P6(x2591)
% 1.19/1.32 [260]P30(x2601)+P23(f17(x2601))
% 1.19/1.32 [261]P30(x2611)+P23(f20(x2611))
% 1.19/1.32 [263]~P6(x2631)+P25(f40(x2631))
% 1.19/1.32 [264]~P4(x2641)+P25(f41(x2641))
% 1.19/1.32 [267]P30(x2671)+~P30(f17(x2671))
% 1.19/1.32 [268]P30(x2681)+~P30(f20(x2681))
% 1.19/1.32 [297]P30(x2971)+P8(f17(x2971),f39(x2971))
% 1.19/1.32 [298]P30(x2981)+P8(f20(x2981),f39(x2981))
% 1.19/1.32 [377]~P6(x3771)+P26(f40(x3771),f44(f46(x3771),f46(x3771)),f46(x3771))
% 1.19/1.32 [378]~P4(x3781)+P26(f41(x3781),f44(f46(x3781),f46(x3781)),f46(x3781))
% 1.19/1.32 [379]~P6(x3791)+P10(f40(x3791),f44(f46(x3791),f46(x3791)),f46(x3791))
% 1.19/1.32 [380]~P4(x3801)+P10(f41(x3801),f44(f46(x3801),f46(x3801)),f46(x3801))
% 1.19/1.32 [363]~P3(x3631)+P8(f47(x3631),f39(f39(f46(x3631))))
% 1.19/1.32 [288]~P30(x2881)+~P12(x2882,x2881)
% 1.19/1.32 [318]~P12(x3181,x3182)+P8(x3181,x3182)
% 1.19/1.32 [349]~P12(x3492,x3491)+~P12(x3491,x3492)
% 1.19/1.32 [330]~P7(x3301,x3302)+P8(x3301,f39(x3302))
% 1.19/1.32 [350]P7(x3501,x3502)+~P8(x3501,f39(x3502))
% 1.19/1.32 [366]~P8(x3662,f39(f39(x3661)))+P3(f37(x3661,x3662))
% 1.19/1.32 [367]~P8(x3672,f39(f39(x3671)))+P21(f37(x3671,x3672))
% 1.19/1.32 [387]~P10(x3871,x3872,x3873)+P9(x3871,x3872,x3873)
% 1.19/1.32 [388]~P9(x3881,x3882,x3883)+P10(x3881,x3882,x3883)
% 1.19/1.32 [376]P31(x3761)+~P8(x3761,f39(f44(x3762,x3763)))
% 1.19/1.32 [389]~P10(x3891,x3892,x3893)+P8(x3891,f39(f44(x3892,x3893)))
% 1.19/1.32 [265]~P24(x2651)+~P36(x2651)+P40(x2651)
% 1.19/1.32 [266]P41(x2661)+~P3(x2661)+E(f34(x2661),f3(x2661))
% 1.19/1.32 [282]~P5(x2821)+P41(x2821)+~P30(f46(x2821))
% 1.19/1.32 [283]~P5(x2831)+P41(x2831)+~P30(f21(x2831))
% 1.19/1.32 [314]~P20(x3141)+~P3(x3141)+P47(f23(x3141),x3141)
% 1.19/1.32 [329]~P3(x3291)+~P21(x3291)+E(f37(f46(x3291),f47(x3291)),x3291)
% 1.19/1.32 [354]~P5(x3541)+P41(x3541)+P8(f21(x3541),f39(f46(x3541)))
% 1.19/1.32 [357]~P20(x3571)+~P3(x3571)+P8(f23(x3571),f39(f46(x3571)))
% 1.19/1.32 [371]~P2(x3711)+~P35(x3711)+E(f38(f46(x3711),f40(x3711),f41(x3711)),x3711)
% 1.19/1.32 [364]~P3(x3641)+P41(x3641)+P8(f34(x3641),f39(f39(f46(x3641))))
% 1.19/1.32 [262]~P30(x2622)+~P30(x2621)+E(x2621,x2622)
% 1.19/1.32 [299]~P8(x2991,x2992)+P33(x2991)+~P22(x2992)
% 1.19/1.32 [300]~P8(x3001,x3002)+P33(x3001)+~P29(x3002)
% 1.19/1.32 [301]~P8(x3011,x3012)+P33(x3011)+~P37(x3012)
% 1.19/1.32 [302]~P8(x3021,x3022)+P33(x3021)+~P38(x3022)
% 1.19/1.32 [303]~P8(x3031,x3032)+P33(x3031)+~P44(x3032)
% 1.19/1.32 [304]~P8(x3041,x3042)+P34(x3041)+~P29(x3042)
% 1.19/1.32 [305]~P8(x3051,x3052)+P34(x3051)+~P37(x3052)
% 1.19/1.32 [306]~P8(x3061,x3062)+P34(x3061)+~P38(x3062)
% 1.19/1.32 [307]~P8(x3071,x3072)+P34(x3071)+~P44(x3072)
% 1.19/1.32 [308]~P8(x3081,x3082)+P32(x3081)+~P37(x3082)
% 1.19/1.32 [309]~P8(x3091,x3092)+P32(x3091)+~P38(x3092)
% 1.19/1.32 [310]~P8(x3101,x3102)+P32(x3101)+~P44(x3102)
% 1.19/1.32 [311]~P8(x3111,x3112)+P27(x3111)+~P38(x3112)
% 1.19/1.32 [312]~P8(x3121,x3122)+P27(x3121)+~P44(x3122)
% 1.19/1.32 [313]~P8(x3131,x3132)+P46(x3131)+~P44(x3132)
% 1.19/1.32 [328]~P8(x3282,x3281)+P30(x3281)+P12(x3282,x3281)
% 1.19/1.32 [331]P22(x3311)+~P22(x3312)+~P8(x3311,f39(x3312))
% 1.19/1.32 [332]P22(x3321)+~P29(x3322)+~P8(x3321,f39(x3322))
% 1.19/1.32 [333]P22(x3331)+~P37(x3332)+~P8(x3331,f39(x3332))
% 1.19/1.32 [334]P22(x3341)+~P38(x3342)+~P8(x3341,f39(x3342))
% 1.19/1.32 [335]P22(x3351)+~P44(x3352)+~P8(x3351,f39(x3352))
% 1.19/1.32 [336]P29(x3361)+~P29(x3362)+~P8(x3361,f39(x3362))
% 1.19/1.32 [337]P29(x3371)+~P37(x3372)+~P8(x3371,f39(x3372))
% 1.19/1.32 [338]P29(x3381)+~P38(x3382)+~P8(x3381,f39(x3382))
% 1.19/1.32 [339]P29(x3391)+~P44(x3392)+~P8(x3391,f39(x3392))
% 1.19/1.32 [340]P37(x3401)+~P37(x3402)+~P8(x3401,f39(x3402))
% 1.19/1.32 [341]P37(x3411)+~P38(x3412)+~P8(x3411,f39(x3412))
% 1.19/1.32 [342]P37(x3421)+~P44(x3422)+~P8(x3421,f39(x3422))
% 1.19/1.32 [343]P38(x3431)+~P38(x3432)+~P8(x3431,f39(x3432))
% 1.19/1.32 [344]P38(x3441)+~P44(x3442)+~P8(x3441,f39(x3442))
% 1.19/1.32 [345]P44(x3451)+~P44(x3452)+~P8(x3451,f39(x3452))
% 1.19/1.32 [346]P23(x3461)+~P23(x3462)+~P8(x3461,f39(x3462))
% 1.19/1.32 [347]~P23(x3472)+~P23(x3471)+P23(f44(x3471,x3472))
% 1.19/1.32 [368]E(x3681,x3682)+P12(f27(x3681,x3682),x3682)+P12(f27(x3681,x3682),x3681)
% 1.19/1.32 [381]E(x3811,x3812)+~P12(f27(x3811,x3812),x3812)+~P12(f27(x3811,x3812),x3811)
% 1.19/1.32 [361]~P30(x3611)+~P12(x3612,x3613)+~P8(x3613,f39(x3611))
% 1.19/1.32 [362]P8(x3621,x3622)+~P12(x3621,x3623)+~P8(x3623,f39(x3622))
% 1.19/1.32 [373]E(x3731,x3732)+~E(f37(x3733,x3731),f37(x3734,x3732))+~P8(x3731,f39(f39(x3733)))
% 1.19/1.32 [374]E(x3741,x3742)+~E(f37(x3741,x3743),f37(x3742,x3744))+~P8(x3743,f39(f39(x3741)))
% 1.19/1.32 [269]P39(x2691)+~P1(x2691)+~P2(x2691)+P41(x2691)
% 1.19/1.32 [270]P45(x2701)+~P1(x2701)+~P2(x2701)+P41(x2701)
% 1.19/1.32 [271]P48(x2711)+~P1(x2711)+~P2(x2711)+P41(x2711)
% 1.19/1.32 [272]P49(x2721)+~P1(x2721)+~P2(x2721)+P41(x2721)
% 1.19/1.32 [273]P50(x2731)+~P1(x2731)+~P2(x2731)+P41(x2731)
% 1.19/1.32 [274]P51(x2741)+~P1(x2741)+~P2(x2741)+P41(x2741)
% 1.19/1.32 [275]P14(x2751)+~P13(x2751)+~P2(x2751)+P41(x2751)
% 1.19/1.32 [276]P14(x2761)+~P2(x2761)+~P18(x2761)+P41(x2761)
% 1.19/1.32 [277]P17(x2771)+~P13(x2771)+~P2(x2771)+P41(x2771)
% 1.19/1.32 [278]P17(x2781)+~P2(x2781)+~P18(x2781)+P41(x2781)
% 1.19/1.32 [279]P18(x2791)+~P13(x2791)+~P2(x2791)+P41(x2791)
% 1.19/1.32 [280]P15(x2801)+~P13(x2801)+~P2(x2801)+P41(x2801)
% 1.19/1.32 [281]P19(x2811)+~P13(x2811)+~P2(x2811)+P41(x2811)
% 1.19/1.32 [284]~P20(x2841)+~P3(x2841)+P41(x2841)+P1(f42(x2841))
% 1.19/1.32 [285]~P20(x2851)+~P3(x2851)+P41(x2851)+P2(f42(x2851))
% 1.19/1.32 [286]~P20(x2861)+~P3(x2861)+P41(x2861)+P25(f43(x2861))
% 1.19/1.32 [287]~P20(x2871)+~P3(x2871)+P41(x2871)+P25(f45(x2871))
% 1.19/1.32 [315]~P20(x3151)+~P3(x3151)+P41(x3151)+~P41(f42(x3151))
% 1.19/1.32 [316]~P20(x3161)+~P3(x3161)+P41(x3161)+~P30(f34(x3161))
% 1.19/1.32 [317]~P20(x3171)+~P3(x3171)+P41(x3171)+~P30(f24(x3171))
% 1.19/1.32 [320]~P20(x3201)+~P3(x3201)+P41(x3201)+P47(f24(x3201),x3201)
% 1.19/1.32 [353]~P20(x3531)+~P3(x3531)+P41(x3531)+~P11(a1,f42(x3531))
% 1.19/1.32 [358]~P20(x3581)+~P3(x3581)+P41(x3581)+P8(f24(x3581),f39(f46(x3581)))
% 1.19/1.32 [372]P41(x3721)+~P20(x3721)+~P3(x3721)+E(f38(f34(x3721),f43(x3721),f45(x3721)),f42(x3721))
% 1.19/1.32 [383]~P20(x3831)+~P3(x3831)+P41(x3831)+P26(f43(x3831),f44(f34(x3831),f34(x3831)),f34(x3831))
% 1.19/1.32 [384]~P20(x3841)+~P3(x3841)+P41(x3841)+P26(f45(x3841),f44(f34(x3841),f34(x3841)),f34(x3841))
% 1.19/1.32 [385]~P20(x3851)+~P3(x3851)+P41(x3851)+P10(f43(x3851),f44(f34(x3851),f34(x3851)),f34(x3851))
% 1.19/1.32 [386]~P20(x3861)+~P3(x3861)+P41(x3861)+P10(f45(x3861),f44(f34(x3861),f34(x3861)),f34(x3861))
% 1.19/1.32 [359]P41(x3592)+~P3(x3592)+~P12(x3591,f3(x3592))+E(f4(x3591,x3592),x3591)
% 1.19/1.32 [369]~P3(x3691)+P41(x3691)+~P12(x3692,f3(x3691))+P43(f4(x3692,x3691),x3691)
% 1.19/1.32 [370]~P3(x3701)+P41(x3701)+~P12(x3702,f3(x3701))+P47(f4(x3702,x3701),x3701)
% 1.19/1.32 [375]~P3(x3751)+P41(x3751)+~P12(x3752,f3(x3751))+P8(f4(x3752,x3751),f39(f46(x3751)))
% 1.19/1.32 [391]~P25(x3911)+~P9(x3911,x3912,x3913)+~P28(x3911,x3912,x3913)+P26(x3911,x3912,x3913)
% 1.19/1.32 [295]P18(x2951)+~P2(x2951)+~P14(x2951)+~P17(x2951)+P41(x2951)
% 1.19/1.32 [296]P16(x2961)+~P1(x2961)+~P2(x2961)+~P15(x2961)+P41(x2961)
% 1.19/1.32 [392]~P25(x3922)+~P9(x3922,x3923,x3921)+~P26(x3922,x3923,x3921)+P30(x3921)+P28(x3922,x3923,x3921)
% 1.19/1.32 [319]P13(x3191)+~P2(x3191)+~P18(x3191)+~P15(x3191)+~P19(x3191)+P41(x3191)
% 1.19/1.32 [321]P42(x3211)+~P1(x3211)+~P13(x3211)+~P2(x3211)+P41(x3211)+P1(f35(x3211))
% 1.19/1.32 [322]P42(x3221)+~P1(x3221)+~P13(x3221)+~P2(x3221)+P41(x3221)+P2(f35(x3221))
% 1.19/1.32 [324]P42(x3241)+~P1(x3241)+~P13(x3241)+~P2(x3241)+P41(x3241)+P20(f36(x3241))
% 1.19/1.32 [325]P42(x3251)+~P1(x3251)+~P13(x3251)+~P2(x3251)+P41(x3251)+P3(f36(x3251))
% 1.19/1.32 [327]P42(x3271)+~P1(x3271)+~P13(x3271)+~P2(x3271)+P41(x3271)+P21(f36(x3271))
% 1.19/1.32 [351]P42(x3511)+~P1(x3511)+~P13(x3511)+~P2(x3511)+P41(x3511)+~P41(f35(x3511))
% 1.19/1.32 [352]P42(x3521)+~P1(x3521)+~P13(x3521)+~P2(x3521)+P41(x3521)+~P41(f36(x3521))
% 1.19/1.32 [355]P42(x3551)+~P1(x3551)+~P13(x3551)+~P2(x3551)+P41(x3551)+P11(x3551,f35(x3551))
% 1.19/1.32 [348]P41(x3481)+P42(x3481)+~P1(x3481)+~P13(x3481)+~P2(x3481)+E(f35(x3481),f42(f36(x3481)))
% 1.19/1.32 [390]~P25(x3903)+~P9(x3903,x3902,x3901)+~P26(x3903,x3902,x3901)+P30(x3901)+P30(x3902)+~P30(x3903)
% 1.19/1.32 [356]P11(x3562,x3562)+~P1(x3561)+~P1(x3562)+~P2(x3561)+~P2(x3562)+P41(x3561)+P41(x3562)
% 1.19/1.32 [394]~P25(x3943)+~P25(x3942)+~P9(x3943,f44(x3941,x3941),x3941)+~P9(x3942,f44(x3941,x3941),x3941)+~P26(x3943,f44(x3941,x3941),x3941)+~P26(x3942,f44(x3941,x3941),x3941)+P2(f38(x3941,x3942,x3943))
% 1.19/1.32 [395]~P25(x3953)+~P25(x3952)+~P9(x3953,f44(x3951,x3951),x3951)+~P9(x3952,f44(x3951,x3951),x3951)+~P26(x3953,f44(x3951,x3951),x3951)+~P26(x3952,f44(x3951,x3951),x3951)+P35(f38(x3951,x3952,x3953))
% 1.19/1.32 [382]~P3(x3821)+~P43(x3823,x3821)+~P47(x3823,x3821)+P41(x3821)+~E(x3823,x3822)+P12(x3822,f3(x3821))+~P8(x3823,f39(f46(x3821)))
% 1.19/1.32 [365]P11(x3651,x3652)+~P1(x3651)+~P1(x3652)+~P2(x3651)+~P2(x3652)+~P11(x3652,x3651)+P41(x3651)+P41(x3652)
% 1.19/1.32 [400]P30(x4001)+~P25(x4002)+~P25(x4003)+~P9(x4002,f44(x4001,x4001),x4001)+~P9(x4003,f44(x4001,x4001),x4001)+~P26(x4002,f44(x4001,x4001),x4001)+~P26(x4003,f44(x4001,x4001),x4001)+~P41(f38(x4001,x4003,x4002))
% 1.19/1.32 [397]~P25(x3974)+~P25(x3971)+E(x3971,x3972)+~P9(x3974,f44(x3973,x3973),x3973)+~P9(x3971,f44(x3973,x3973),x3973)+~P26(x3974,f44(x3973,x3973),x3973)+~P26(x3971,f44(x3973,x3973),x3973)+~E(f38(x3973,x3974,x3971),f38(x3975,x3976,x3972))
% 1.19/1.32 [398]~P25(x3984)+~P25(x3981)+E(x3981,x3982)+~P9(x3984,f44(x3983,x3983),x3983)+~P9(x3981,f44(x3983,x3983),x3983)+~P26(x3984,f44(x3983,x3983),x3983)+~P26(x3981,f44(x3983,x3983),x3983)+~E(f38(x3983,x3981,x3984),f38(x3985,x3982,x3986))
% 1.19/1.32 [399]~P25(x3994)+~P25(x3993)+E(x3991,x3992)+~P9(x3994,f44(x3991,x3991),x3991)+~P9(x3993,f44(x3991,x3991),x3991)+~P26(x3994,f44(x3991,x3991),x3991)+~P26(x3993,f44(x3991,x3991),x3991)+~E(f38(x3991,x3993,x3994),f38(x3992,x3995,x3996))
% 1.19/1.32 [360]P1(x3601)+~P2(x3601)+~P39(x3601)+~P45(x3601)+~P48(x3601)+~P49(x3601)+~P50(x3601)+~P51(x3601)+P41(x3601)
% 1.19/1.32 %EqnAxiom
% 1.19/1.32 [1]E(x11,x11)
% 1.19/1.32 [2]E(x22,x21)+~E(x21,x22)
% 1.19/1.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.19/1.32 [4]~E(x41,x42)+E(f39(x41),f39(x42))
% 1.19/1.32 [5]~E(x51,x52)+E(f44(x51,x53),f44(x52,x53))
% 1.19/1.32 [6]~E(x61,x62)+E(f44(x63,x61),f44(x63,x62))
% 1.19/1.32 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 1.19/1.32 [8]~E(x81,x82)+E(f31(x81),f31(x82))
% 1.19/1.32 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 1.19/1.32 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 1.19/1.32 [11]~E(x111,x112)+E(f16(x111,x113),f16(x112,x113))
% 1.19/1.32 [12]~E(x121,x122)+E(f16(x123,x121),f16(x123,x122))
% 1.19/1.32 [13]~E(x131,x132)+E(f34(x131),f34(x132))
% 1.19/1.32 [14]~E(x141,x142)+E(f41(x141),f41(x142))
% 1.19/1.32 [15]~E(x151,x152)+E(f32(x151,x153),f32(x152,x153))
% 1.19/1.32 [16]~E(x161,x162)+E(f32(x163,x161),f32(x163,x162))
% 1.19/1.32 [17]~E(x171,x172)+E(f46(x171),f46(x172))
% 1.19/1.32 [18]~E(x181,x182)+E(f3(x181),f3(x182))
% 1.19/1.32 [19]~E(x191,x192)+E(f38(x191,x193,x194),f38(x192,x193,x194))
% 1.19/1.32 [20]~E(x201,x202)+E(f38(x203,x201,x204),f38(x203,x202,x204))
% 1.19/1.32 [21]~E(x211,x212)+E(f38(x213,x214,x211),f38(x213,x214,x212))
% 1.19/1.32 [22]~E(x221,x222)+E(f33(x221,x223),f33(x222,x223))
% 1.19/1.32 [23]~E(x231,x232)+E(f33(x233,x231),f33(x233,x232))
% 1.19/1.32 [24]~E(x241,x242)+E(f4(x241,x243),f4(x242,x243))
% 1.19/1.32 [25]~E(x251,x252)+E(f4(x253,x251),f4(x253,x252))
% 1.19/1.32 [26]~E(x261,x262)+E(f17(x261),f17(x262))
% 1.19/1.32 [27]~E(x271,x272)+E(f20(x271),f20(x272))
% 1.19/1.32 [28]~E(x281,x282)+E(f40(x281),f40(x282))
% 1.19/1.32 [29]~E(x291,x292)+E(f43(x291),f43(x292))
% 1.19/1.32 [30]~E(x301,x302)+E(f35(x301),f35(x302))
% 1.19/1.32 [31]~E(x311,x312)+E(f42(x311),f42(x312))
% 1.19/1.32 [32]~E(x321,x322)+E(f37(x321,x323),f37(x322,x323))
% 1.19/1.32 [33]~E(x331,x332)+E(f37(x333,x331),f37(x333,x332))
% 1.19/1.32 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 1.19/1.32 [35]~E(x351,x352)+E(f36(x351),f36(x352))
% 1.19/1.32 [36]~E(x361,x362)+E(f21(x361),f21(x362))
% 1.19/1.32 [37]~E(x371,x372)+E(f27(x371,x373),f27(x372,x373))
% 1.19/1.32 [38]~E(x381,x382)+E(f27(x383,x381),f27(x383,x382))
% 1.19/1.32 [39]~E(x391,x392)+E(f23(x391),f23(x392))
% 1.19/1.32 [40]~E(x401,x402)+E(f24(x401),f24(x402))
% 1.19/1.32 [41]~P1(x411)+P1(x412)+~E(x411,x412)
% 1.19/1.32 [42]P26(x422,x423,x424)+~E(x421,x422)+~P26(x421,x423,x424)
% 1.19/1.32 [43]P26(x433,x432,x434)+~E(x431,x432)+~P26(x433,x431,x434)
% 1.19/1.32 [44]P26(x443,x444,x442)+~E(x441,x442)+~P26(x443,x444,x441)
% 1.19/1.32 [45]P9(x452,x453,x454)+~E(x451,x452)+~P9(x451,x453,x454)
% 1.19/1.32 [46]P9(x463,x462,x464)+~E(x461,x462)+~P9(x463,x461,x464)
% 1.19/1.32 [47]P9(x473,x474,x472)+~E(x471,x472)+~P9(x473,x474,x471)
% 1.19/1.32 [48]P28(x482,x483,x484)+~E(x481,x482)+~P28(x481,x483,x484)
% 1.19/1.32 [49]P28(x493,x492,x494)+~E(x491,x492)+~P28(x493,x491,x494)
% 1.19/1.32 [50]P28(x503,x504,x502)+~E(x501,x502)+~P28(x503,x504,x501)
% 1.19/1.32 [51]~P25(x511)+P25(x512)+~E(x511,x512)
% 1.19/1.32 [52]~P41(x521)+P41(x522)+~E(x521,x522)
% 1.19/1.32 [53]~P3(x531)+P3(x532)+~E(x531,x532)
% 1.19/1.32 [54]~P13(x541)+P13(x542)+~E(x541,x542)
% 1.19/1.32 [55]~P23(x551)+P23(x552)+~E(x551,x552)
% 1.19/1.32 [56]~P38(x561)+P38(x562)+~E(x561,x562)
% 1.19/1.32 [57]~P2(x571)+P2(x572)+~E(x571,x572)
% 1.19/1.32 [58]~P22(x581)+P22(x582)+~E(x581,x582)
% 1.19/1.32 [59]P8(x592,x593)+~E(x591,x592)+~P8(x591,x593)
% 1.19/1.32 [60]P8(x603,x602)+~E(x601,x602)+~P8(x603,x601)
% 1.19/1.32 [61]~P37(x611)+P37(x612)+~E(x611,x612)
% 1.19/1.32 [62]P12(x622,x623)+~E(x621,x622)+~P12(x621,x623)
% 1.19/1.32 [63]P12(x633,x632)+~E(x631,x632)+~P12(x633,x631)
% 1.19/1.32 [64]~P19(x641)+P19(x642)+~E(x641,x642)
% 1.19/1.32 [65]~P29(x651)+P29(x652)+~E(x651,x652)
% 1.19/1.32 [66]~P44(x661)+P44(x662)+~E(x661,x662)
% 1.19/1.32 [67]~P15(x671)+P15(x672)+~E(x671,x672)
% 1.19/1.32 [68]P10(x682,x683,x684)+~E(x681,x682)+~P10(x681,x683,x684)
% 1.19/1.32 [69]P10(x693,x692,x694)+~E(x691,x692)+~P10(x693,x691,x694)
% 1.19/1.32 [70]P10(x703,x704,x702)+~E(x701,x702)+~P10(x703,x704,x701)
% 1.19/1.32 [71]~P20(x711)+P20(x712)+~E(x711,x712)
% 1.19/1.32 [72]P11(x722,x723)+~E(x721,x722)+~P11(x721,x723)
% 1.19/1.32 [73]P11(x733,x732)+~E(x731,x732)+~P11(x733,x731)
% 1.19/1.32 [74]~P42(x741)+P42(x742)+~E(x741,x742)
% 1.19/1.32 [75]~P30(x751)+P30(x752)+~E(x751,x752)
% 1.19/1.32 [76]~P21(x761)+P21(x762)+~E(x761,x762)
% 1.19/1.32 [77]~P6(x771)+P6(x772)+~E(x771,x772)
% 1.19/1.32 [78]~P35(x781)+P35(x782)+~E(x781,x782)
% 1.19/1.32 [79]P7(x792,x793)+~E(x791,x792)+~P7(x791,x793)
% 1.19/1.32 [80]P7(x803,x802)+~E(x801,x802)+~P7(x803,x801)
% 1.19/1.32 [81]~P5(x811)+P5(x812)+~E(x811,x812)
% 1.19/1.32 [82]~P4(x821)+P4(x822)+~E(x821,x822)
% 1.19/1.32 [83]~P24(x831)+P24(x832)+~E(x831,x832)
% 1.19/1.32 [84]~P33(x841)+P33(x842)+~E(x841,x842)
% 1.19/1.32 [85]~P45(x851)+P45(x852)+~E(x851,x852)
% 1.19/1.32 [86]~P32(x861)+P32(x862)+~E(x861,x862)
% 1.19/1.32 [87]~P14(x871)+P14(x872)+~E(x871,x872)
% 1.19/1.32 [88]~P51(x881)+P51(x882)+~E(x881,x882)
% 1.19/1.32 [89]~P49(x891)+P49(x892)+~E(x891,x892)
% 1.19/1.32 [90]~P34(x901)+P34(x902)+~E(x901,x902)
% 1.19/1.32 [91]~P39(x911)+P39(x912)+~E(x911,x912)
% 1.19/1.32 [92]~P18(x921)+P18(x922)+~E(x921,x922)
% 1.19/1.32 [93]~P17(x931)+P17(x932)+~E(x931,x932)
% 1.19/1.32 [94]~P31(x941)+P31(x942)+~E(x941,x942)
% 1.19/1.32 [95]~P46(x951)+P46(x952)+~E(x951,x952)
% 1.19/1.32 [96]~P16(x961)+P16(x962)+~E(x961,x962)
% 1.19/1.32 [97]P43(x972,x973)+~E(x971,x972)+~P43(x971,x973)
% 1.19/1.32 [98]P43(x983,x982)+~E(x981,x982)+~P43(x983,x981)
% 1.19/1.32 [99]~P50(x991)+P50(x992)+~E(x991,x992)
% 1.19/1.32 [100]~P27(x1001)+P27(x1002)+~E(x1001,x1002)
% 1.19/1.32 [101]~P48(x1011)+P48(x1012)+~E(x1011,x1012)
% 1.19/1.32 [102]P47(x1022,x1023)+~E(x1021,x1022)+~P47(x1021,x1023)
% 1.19/1.32 [103]P47(x1033,x1032)+~E(x1031,x1032)+~P47(x1033,x1031)
% 1.19/1.32 [104]~P40(x1041)+P40(x1042)+~E(x1041,x1042)
% 1.19/1.32 [105]~P36(x1051)+P36(x1052)+~E(x1051,x1052)
% 1.19/1.32
% 1.19/1.32 %-------------------------------------------
% 1.19/1.32 cnf(401,plain,
% 1.19/1.32 (~P12(x4011,a30)),
% 1.19/1.32 inference(scs_inference,[],[149,288])).
% 1.19/1.32 cnf(403,plain,
% 1.19/1.32 (P8(f31(x4031),x4031)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(406,plain,
% 1.19/1.32 (P8(f31(x4061),x4061)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(408,plain,
% 1.19/1.32 (P12(f31(a9),a9)),
% 1.19/1.32 inference(scs_inference,[],[149,239,217,403,406,288,376,350,328])).
% 1.19/1.32 cnf(409,plain,
% 1.19/1.32 (P8(f31(x4091),x4091)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(411,plain,
% 1.19/1.32 (~P12(x4111,f31(f39(a30)))),
% 1.19/1.32 inference(scs_inference,[],[149,239,217,403,406,409,288,376,350,328,361])).
% 1.19/1.32 cnf(412,plain,
% 1.19/1.32 (P8(f31(x4121),x4121)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(414,plain,
% 1.19/1.32 (P23(f31(f39(a9)))),
% 1.19/1.32 inference(scs_inference,[],[149,150,239,217,403,406,409,412,288,376,350,328,361,346])).
% 1.19/1.32 cnf(415,plain,
% 1.19/1.32 (P8(f31(x4151),x4151)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(418,plain,
% 1.19/1.32 (P8(f31(x4181),x4181)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(421,plain,
% 1.19/1.32 (P8(f31(x4211),x4211)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(424,plain,
% 1.19/1.32 (P8(f31(x4241),x4241)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(427,plain,
% 1.19/1.32 (P8(f31(x4271),x4271)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(430,plain,
% 1.19/1.32 (P8(f31(x4301),x4301)),
% 1.19/1.32 inference(rename_variables,[],[217])).
% 1.19/1.32 cnf(432,plain,
% 1.19/1.32 (E(a30,f31(f39(a30)))),
% 1.19/1.32 inference(scs_inference,[],[147,149,150,239,217,403,406,409,412,415,418,421,424,427,288,376,350,328,361,346,345,344,342,339,335,368])).
% 1.19/1.32 cnf(456,plain,
% 1.19/1.32 (P28(f10(x4561,a9),x4561,a9)),
% 1.19/1.32 inference(scs_inference,[],[106,113,116,227,147,149,150,239,223,225,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392])).
% 1.19/1.32 cnf(464,plain,
% 1.19/1.32 (P11(a1,a1)),
% 1.19/1.32 inference(scs_inference,[],[106,113,116,227,118,147,149,150,187,192,228,239,223,225,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356])).
% 1.19/1.32 cnf(468,plain,
% 1.19/1.32 (P9(f33(x4681,x4682),x4681,x4682)),
% 1.19/1.32 inference(scs_inference,[],[106,113,116,227,118,147,149,150,187,192,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387])).
% 1.19/1.32 cnf(484,plain,
% 1.19/1.32 (P8(x4841,f39(x4841))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330])).
% 1.19/1.32 cnf(500,plain,
% 1.19/1.32 (E(f27(x5001,a30),f27(x5001,f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38])).
% 1.19/1.32 cnf(501,plain,
% 1.19/1.32 (E(f27(a30,x5011),f27(f31(f39(a30)),x5011))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37])).
% 1.19/1.32 cnf(515,plain,
% 1.19/1.32 (E(f33(x5151,a30),f33(x5151,f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23])).
% 1.19/1.32 cnf(517,plain,
% 1.19/1.32 (E(f38(x5171,x5172,a30),f38(x5171,x5172,f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21])).
% 1.19/1.32 cnf(518,plain,
% 1.19/1.32 (E(f38(x5181,a30,x5182),f38(x5181,f31(f39(a30)),x5182))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20])).
% 1.19/1.32 cnf(519,plain,
% 1.19/1.32 (E(f38(a30,x5191,x5192),f38(f31(f39(a30)),x5191,x5192))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19])).
% 1.19/1.32 cnf(522,plain,
% 1.19/1.32 (E(f32(x5221,a30),f32(x5221,f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 1.19/1.32 cnf(528,plain,
% 1.19/1.32 (E(f10(x5281,a30),f10(x5281,f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.19/1.32 cnf(529,plain,
% 1.19/1.32 (E(f10(a30,x5291),f10(f31(f39(a30)),x5291))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.19/1.32 cnf(530,plain,
% 1.19/1.32 (E(f31(a30),f31(f31(f39(a30))))),
% 1.19/1.32 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.19/1.32 cnf(534,plain,
% 1.19/1.32 (E(f39(a30),f39(f31(f39(a30))))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.19/1.33 cnf(535,plain,
% 1.19/1.33 (P8(f33(x5351,x5352),f39(f44(x5351,x5352)))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389])).
% 1.19/1.33 cnf(560,plain,
% 1.19/1.33 (~E(f31(f39(a30)),a9)),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3])).
% 1.19/1.33 cnf(561,plain,
% 1.19/1.33 (P46(f31(a30))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313])).
% 1.19/1.33 cnf(563,plain,
% 1.19/1.33 (P27(f31(a30))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312])).
% 1.19/1.33 cnf(565,plain,
% 1.19/1.33 (P32(f31(a30))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310])).
% 1.19/1.33 cnf(567,plain,
% 1.19/1.33 (P34(f31(a30))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307])).
% 1.19/1.33 cnf(569,plain,
% 1.19/1.33 (P33(f31(a30))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303])).
% 1.19/1.33 cnf(571,plain,
% 1.19/1.33 (P23(f44(a9,a9))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,127,147,149,150,163,187,192,209,212,228,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347])).
% 1.19/1.33 cnf(591,plain,
% 1.19/1.33 (~P11(a1,f42(a15))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353])).
% 1.19/1.33 cnf(599,plain,
% 1.19/1.33 (~P41(f42(a15))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315])).
% 1.19/1.33 cnf(605,plain,
% 1.19/1.33 (P2(f42(a15))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285])).
% 1.19/1.33 cnf(607,plain,
% 1.19/1.33 (P1(f42(a15))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284])).
% 1.19/1.33 cnf(619,plain,
% 1.19/1.33 (E(f38(f34(a15),f43(a15),f45(a15)),f42(a15))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372])).
% 1.19/1.33 cnf(621,plain,
% 1.19/1.33 (P11(a1,f35(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355])).
% 1.19/1.33 cnf(623,plain,
% 1.19/1.33 (~P41(f36(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352])).
% 1.19/1.33 cnf(625,plain,
% 1.19/1.33 (~P41(f35(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351])).
% 1.19/1.33 cnf(629,plain,
% 1.19/1.33 (P3(f36(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325])).
% 1.19/1.33 cnf(631,plain,
% 1.19/1.33 (P20(f36(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324])).
% 1.19/1.33 cnf(633,plain,
% 1.19/1.33 (P2(f35(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324,322])).
% 1.19/1.33 cnf(635,plain,
% 1.19/1.33 (P1(f35(a1))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324,322,321])).
% 1.19/1.33 cnf(637,plain,
% 1.19/1.33 (E(f35(a1),f42(f36(a1)))),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324,322,321,348])).
% 1.19/1.33 cnf(639,plain,
% 1.19/1.33 (~P11(f42(a15),a1)),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324,322,321,348,365])).
% 1.19/1.33 cnf(641,plain,
% 1.19/1.33 (E(f31(f39(a30)),a30)),
% 1.19/1.33 inference(scs_inference,[],[106,216,113,116,227,237,118,126,127,128,129,130,132,147,149,150,163,187,192,209,211,212,228,233,234,239,222,223,225,226,217,403,406,409,412,415,418,421,424,427,430,218,288,376,350,328,361,346,345,344,342,339,335,368,281,280,279,278,276,274,273,272,271,270,269,392,296,295,390,356,388,387,349,259,258,257,256,255,252,330,268,267,264,263,261,260,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,389,363,298,297,367,366,380,379,378,377,101,76,75,55,53,3,313,312,310,307,303,347,314,283,282,364,357,354,329,266,371,353,320,317,316,315,287,286,285,284,358,386,385,384,383,372,355,352,351,327,325,324,322,321,348,365,2])).
% 1.19/1.33 cnf(674,plain,
% 1.19/1.33 (P2(f42(f36(a1)))),
% 1.19/1.33 inference(scs_inference,[],[530,637,561,563,565,567,569,633,100,95,90,86,84,57])).
% 1.19/1.33 cnf(676,plain,
% 1.19/1.33 (P28(f10(x6761,a9),x6761,a9)),
% 1.19/1.33 inference(rename_variables,[],[456])).
% 1.19/1.33 cnf(681,plain,
% 1.19/1.33 (P9(f16(x6811,x6812),x6811,x6812)),
% 1.19/1.33 inference(rename_variables,[],[224])).
% 1.19/1.33 cnf(685,plain,
% 1.19/1.33 (E(f33(x6851,a30),f33(x6851,f31(f39(a30))))),
% 1.19/1.33 inference(rename_variables,[],[515])).
% 1.19/1.33 cnf(688,plain,
% 1.19/1.33 (P26(f10(x6881,x6882),x6881,x6882)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(690,plain,
% 1.19/1.33 (P26(f10(x6901,x6902),x6901,x6902)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(691,plain,
% 1.19/1.33 (P26(f10(x6911,f31(f39(a30))),x6911,a30)),
% 1.19/1.33 inference(scs_inference,[],[224,681,225,688,690,468,517,515,528,529,530,637,456,676,561,563,565,567,569,633,100,95,90,86,84,57,49,48,47,46,45,44,43,42])).
% 1.19/1.33 cnf(693,plain,
% 1.19/1.33 (P26(f10(x6931,x6932),x6931,x6932)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(695,plain,
% 1.19/1.33 (P8(f31(x6951),x6951)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(698,plain,
% 1.19/1.33 (P8(f31(x6981),x6981)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(701,plain,
% 1.19/1.33 (P8(f31(x7011),x7011)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(704,plain,
% 1.19/1.33 (P8(f31(x7041),x7041)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(709,plain,
% 1.19/1.33 (P26(f10(x7091,x7092),x7091,x7092)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(710,plain,
% 1.19/1.33 (P25(f10(x7101,x7102))),
% 1.19/1.33 inference(rename_variables,[],[218])).
% 1.19/1.33 cnf(711,plain,
% 1.19/1.33 (P9(f10(x7111,x7112),x7111,x7112)),
% 1.19/1.33 inference(rename_variables,[],[223])).
% 1.19/1.33 cnf(716,plain,
% 1.19/1.33 (P26(f10(x7161,x7162),x7161,x7162)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(717,plain,
% 1.19/1.33 (P25(f10(x7171,x7172))),
% 1.19/1.33 inference(rename_variables,[],[218])).
% 1.19/1.33 cnf(718,plain,
% 1.19/1.33 (P9(f10(x7181,x7182),x7181,x7182)),
% 1.19/1.33 inference(rename_variables,[],[223])).
% 1.19/1.33 cnf(726,plain,
% 1.19/1.33 (P38(f31(f39(a12)))),
% 1.19/1.33 inference(scs_inference,[],[146,240,224,681,217,695,698,701,704,223,711,718,225,688,690,693,709,716,218,710,717,468,517,515,528,529,530,637,456,676,561,563,565,567,569,633,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343])).
% 1.19/1.33 cnf(746,plain,
% 1.19/1.33 (~P11(a1,f42(f36(a1)))),
% 1.19/1.33 inference(scs_inference,[],[119,133,146,240,224,681,217,695,698,701,704,223,711,718,225,688,690,693,709,716,218,710,717,468,517,515,528,529,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353])).
% 1.19/1.33 cnf(752,plain,
% 1.19/1.33 (~P41(f42(f36(a1)))),
% 1.19/1.33 inference(scs_inference,[],[119,133,146,240,224,681,217,695,698,701,704,223,711,718,225,688,690,693,709,716,218,710,717,468,517,515,528,529,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315])).
% 1.19/1.33 cnf(756,plain,
% 1.19/1.33 (P1(f42(f36(a1)))),
% 1.19/1.33 inference(scs_inference,[],[119,133,146,240,224,681,217,695,698,701,704,223,711,718,225,688,690,693,709,716,218,710,717,468,517,515,528,529,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284])).
% 1.19/1.33 cnf(768,plain,
% 1.19/1.33 (~E(a9,f31(f39(a30)))),
% 1.19/1.33 inference(scs_inference,[],[108,111,115,119,133,146,229,232,238,240,224,681,122,217,695,698,701,704,223,711,718,225,688,690,693,709,716,218,710,717,468,517,515,528,529,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2])).
% 1.19/1.33 cnf(774,plain,
% 1.19/1.33 (P8(x7741,f39(x7741))),
% 1.19/1.33 inference(rename_variables,[],[484])).
% 1.19/1.33 cnf(793,plain,
% 1.19/1.33 (~P41(f36(a8))),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,202,229,231,232,238,240,224,681,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,129,468,484,517,464,515,685,528,529,414,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352])).
% 1.19/1.33 cnf(797,plain,
% 1.19/1.33 (P3(f36(a8))),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,202,229,231,232,238,240,224,681,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,129,468,484,517,464,515,685,528,529,414,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325])).
% 1.19/1.33 cnf(799,plain,
% 1.19/1.33 (P20(f36(a8))),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,202,229,231,232,238,240,224,681,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,129,468,484,517,464,515,685,528,529,414,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325,324])).
% 1.19/1.33 cnf(807,plain,
% 1.19/1.33 (P12(f27(f31(f39(a30)),a9),a9)),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,202,229,231,232,238,240,224,681,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,149,129,468,484,517,411,464,515,685,528,529,414,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,408,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325,324,348,269,361,368])).
% 1.19/1.33 cnf(813,plain,
% 1.19/1.33 (~E(f39(a9),f39(a30))),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,202,229,231,232,238,240,224,681,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,149,129,468,484,774,517,411,464,515,685,528,529,414,432,530,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,408,591,621,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325,324,348,269,361,368,79,75,73,70,60])).
% 1.19/1.33 cnf(824,plain,
% 1.19/1.33 (P12(f31(f39(a12)),f39(a12))),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,175,202,229,231,232,238,240,224,681,241,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,149,129,468,484,774,517,518,411,464,515,685,528,529,414,432,530,619,637,456,676,561,563,565,567,569,599,605,607,623,629,631,633,560,408,591,621,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325,324,348,269,361,368,79,75,73,70,60,52,3,99,41,318,349,328])).
% 1.19/1.33 cnf(832,plain,
% 1.19/1.33 (~P7(a9,a30)),
% 1.19/1.33 inference(scs_inference,[],[108,110,111,115,119,131,133,146,175,202,229,231,232,238,240,224,681,241,121,122,217,695,698,701,704,216,223,711,718,225,688,690,693,709,716,218,710,717,226,149,129,468,484,774,535,517,518,411,464,515,685,528,529,414,432,530,619,637,456,676,561,563,565,567,569,571,599,605,607,623,629,631,633,560,408,591,621,639,100,95,90,86,84,57,49,48,47,46,45,44,43,42,311,309,306,302,395,394,400,343,341,338,334,357,266,371,273,272,271,353,317,316,315,286,284,358,351,322,321,356,2,80,72,69,68,59,347,314,329,274,270,320,287,296,355,352,327,325,324,348,269,361,368,79,75,73,70,60,52,3,99,41,318,349,328,346,285,365,330])).
% 1.19/1.33 cnf(848,plain,
% 1.19/1.33 (P8(x8481,f39(x8481))),
% 1.19/1.33 inference(rename_variables,[],[484])).
% 1.19/1.33 cnf(851,plain,
% 1.19/1.33 (P8(f31(x8511),x8511)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(854,plain,
% 1.19/1.33 (P8(f31(x8541),x8541)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(857,plain,
% 1.19/1.33 (P9(f32(x8571,x8572),x8571,x8572)),
% 1.19/1.33 inference(rename_variables,[],[222])).
% 1.19/1.33 cnf(859,plain,
% 1.19/1.33 (P9(f32(x8591,x8592),x8591,x8592)),
% 1.19/1.33 inference(rename_variables,[],[222])).
% 1.19/1.33 cnf(861,plain,
% 1.19/1.33 (~P12(x8611,f31(f39(a30)))),
% 1.19/1.33 inference(rename_variables,[],[411])).
% 1.19/1.33 cnf(862,plain,
% 1.19/1.33 (P8(f31(x8621),x8621)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(865,plain,
% 1.19/1.33 (P8(f31(x8651),x8651)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(868,plain,
% 1.19/1.33 (P8(f31(x8681),x8681)),
% 1.19/1.33 inference(rename_variables,[],[217])).
% 1.19/1.33 cnf(879,plain,
% 1.19/1.33 (P26(f10(x8791,x8792),x8791,x8792)),
% 1.19/1.33 inference(rename_variables,[],[225])).
% 1.19/1.33 cnf(932,plain,
% 1.19/1.33 ($false),
% 1.19/1.33 inference(scs_inference,[],[109,112,120,125,236,230,401,222,857,859,241,148,217,851,854,862,865,868,225,879,218,223,227,116,519,500,501,522,768,674,726,752,756,534,691,824,625,635,793,797,799,813,746,807,832,641,484,848,619,529,456,633,621,639,637,411,861,106,373,309,302,47,46,328,313,311,306,362,392,353,316,286,271,50,49,45,44,43,42,356,349,320,317,315,358,365,274,273,272,270,269,287,368,2,80,72,3,63,73]),
% 1.19/1.33 ['proof']).
% 1.19/1.33 % SZS output end Proof
% 1.19/1.33 % Total time :0.600000s
%------------------------------------------------------------------------------