TSTP Solution File: LAT304+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 05:58:15 EDT 2023
% Result : Theorem 177.57s 177.59s
% Output : CNFRefutation 177.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.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 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:45:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 177.57/177.57 %-------------------------------------------
% 177.57/177.57 % File :CSE---1.6
% 177.57/177.57 % Problem :theBenchmark
% 177.57/177.57 % Transform :cnf
% 177.57/177.57 % Format :tptp:raw
% 177.57/177.57 % Command :java -jar mcs_scs.jar %d %s
% 177.57/177.57
% 177.57/177.57 % Result :Theorem 176.920000s
% 177.57/177.57 % Output :CNFRefutation 176.920000s
% 177.57/177.57 %-------------------------------------------
% 177.57/177.57 %------------------------------------------------------------------------------
% 177.57/177.57 % File : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% 177.57/177.57 % Domain : Lattice Theory
% 177.57/177.57 % Problem : Ideals T28
% 177.57/177.57 % Version : [Urb08] axioms : Especial.
% 177.57/177.57 % English :
% 177.57/177.57
% 177.57/177.57 % Refs : [Ban96] Bancerek (1996), Ideals
% 177.57/177.57 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 177.57/177.57 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 177.57/177.57 % Source : [Urb08]
% 177.57/177.57 % Names : t28_filter_2 [Urb08]
% 177.57/177.57
% 177.57/177.57 % Status : Theorem
% 177.57/177.57 % Rating : 0.39 v8.1.0, 0.42 v7.5.0, 0.47 v7.4.0, 0.30 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.26 v7.0.0, 0.33 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.60 v6.0.0, 0.52 v5.5.0, 0.63 v5.4.0, 0.64 v5.3.0, 0.70 v5.2.0, 0.55 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.54 v3.7.0, 0.55 v3.5.0, 0.47 v3.4.0
% 177.57/177.57 % Syntax : Number of formulae : 77 ( 19 unt; 0 def)
% 177.57/177.57 % Number of atoms : 275 ( 8 equ)
% 177.57/177.57 % Maximal formula atoms : 12 ( 3 avg)
% 177.57/177.57 % Number of connectives : 248 ( 50 ~; 1 |; 140 &)
% 177.57/177.57 % ( 4 <=>; 53 =>; 0 <=; 0 <~>)
% 177.57/177.57 % Maximal formula depth : 11 ( 5 avg)
% 177.57/177.57 % Maximal term depth : 3 ( 1 avg)
% 177.57/177.57 % Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% 177.57/177.57 % Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% 177.57/177.57 % Number of variables : 115 ( 91 !; 24 ?)
% 177.57/177.57 % SPC : FOF_THM_RFO_SEQ
% 177.57/177.57
% 177.57/177.57 % Comments : Normal version: includes the axioms (which may be theorems from
% 177.57/177.58 % other articles) and background that are possibly necessary.
% 177.57/177.58 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 177.57/177.58 % : The problem encoding is based on set theory.
% 177.57/177.58 %------------------------------------------------------------------------------
% 177.57/177.58 fof(t28_filter_2,conjecture,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => m2_filter_2(u1_struct_0(A),A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(abstractness_v3_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => ( v3_lattices(A)
% 177.57/177.58 => A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(antisymmetry_r2_hidden,axiom,
% 177.57/177.58 ! [A,B] :
% 177.57/177.58 ( r2_hidden(A,B)
% 177.57/177.58 => ~ r2_hidden(B,A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(cc1_funct_1,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( v1_xboole_0(A)
% 177.57/177.58 => v1_funct_1(A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(cc1_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A) )
% 177.57/177.58 => ( ~ v3_struct_0(A)
% 177.57/177.58 & v4_lattices(A)
% 177.57/177.58 & v5_lattices(A)
% 177.57/177.58 & v6_lattices(A)
% 177.57/177.58 & v7_lattices(A)
% 177.57/177.58 & v8_lattices(A)
% 177.57/177.58 & v9_lattices(A) ) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(cc1_relset_1,axiom,
% 177.57/177.58 ! [A,B,C] :
% 177.57/177.58 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 177.57/177.58 => v1_relat_1(C) ) ).
% 177.57/177.58
% 177.57/177.58 fof(cc2_funct_1,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( v1_relat_1(A)
% 177.57/177.58 & v1_xboole_0(A)
% 177.57/177.58 & v1_funct_1(A) )
% 177.57/177.58 => ( v1_relat_1(A)
% 177.57/177.58 & v1_funct_1(A)
% 177.57/177.58 & v2_funct_1(A) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(cc2_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v4_lattices(A)
% 177.57/177.58 & v5_lattices(A)
% 177.57/177.58 & v6_lattices(A)
% 177.57/177.58 & v7_lattices(A)
% 177.57/177.58 & v8_lattices(A)
% 177.57/177.58 & v9_lattices(A) )
% 177.57/177.58 => ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A) ) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(d2_lattice2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_g3_lattices,axiom,
% 177.57/177.58 ! [A,B,C] :
% 177.57/177.58 ( ( v1_funct_1(B)
% 177.57/177.58 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 177.57/177.58 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 177.57/177.58 & v1_funct_1(C)
% 177.57/177.58 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 177.57/177.58 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 177.57/177.58 => ( v3_lattices(g3_lattices(A,B,C))
% 177.57/177.58 & l3_lattices(g3_lattices(A,B,C)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_k1_lattice2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => ( v3_lattices(k1_lattice2(A))
% 177.57/177.58 & l3_lattices(k1_lattice2(A)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_k1_xboole_0,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_k1_zfmisc_1,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_k2_zfmisc_1,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_l1_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l1_lattices(A)
% 177.57/177.58 => l1_struct_0(A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_l1_struct_0,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_l2_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l2_lattices(A)
% 177.57/177.58 => l1_struct_0(A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_l3_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l3_lattices(A)
% 177.57/177.58 => ( l1_lattices(A)
% 177.57/177.58 & l2_lattices(A) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m1_filter_0,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ! [B] :
% 177.57/177.58 ( m1_filter_0(B,A)
% 177.57/177.58 => ( ~ v1_xboole_0(B)
% 177.57/177.58 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m1_filter_2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ! [B] :
% 177.57/177.58 ( m1_filter_2(B,A)
% 177.57/177.58 => ( ~ v1_xboole_0(B)
% 177.57/177.58 & m2_lattice4(B,A) ) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m1_relset_1,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m1_subset_1,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m2_filter_2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ! [B] :
% 177.57/177.58 ( m2_filter_2(B,A)
% 177.57/177.58 => ( ~ v1_xboole_0(B)
% 177.57/177.58 & m2_lattice4(B,A) ) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m2_lattice4,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ! [B] :
% 177.57/177.58 ( m2_lattice4(B,A)
% 177.57/177.58 => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_m2_relset_1,axiom,
% 177.57/177.58 ! [A,B,C] :
% 177.57/177.58 ( m2_relset_1(C,A,B)
% 177.57/177.58 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_u1_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l1_lattices(A)
% 177.57/177.58 => ( v1_funct_1(u1_lattices(A))
% 177.57/177.58 & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.58 & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(dt_u1_struct_0,axiom,
% 177.57/177.58 $true ).
% 177.57/177.58
% 177.57/177.58 fof(dt_u2_lattices,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( l2_lattices(A)
% 177.57/177.58 => ( v1_funct_1(u2_lattices(A))
% 177.57/177.58 & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.58 & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_l1_lattices,axiom,
% 177.57/177.58 ? [A] : l1_lattices(A) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_l1_struct_0,axiom,
% 177.57/177.58 ? [A] : l1_struct_0(A) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_l2_lattices,axiom,
% 177.57/177.58 ? [A] : l2_lattices(A) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_l3_lattices,axiom,
% 177.57/177.58 ? [A] : l3_lattices(A) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m1_filter_0,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ? [B] : m1_filter_0(B,A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m1_filter_2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ? [B] : m1_filter_2(B,A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m1_relset_1,axiom,
% 177.57/177.58 ! [A,B] :
% 177.57/177.58 ? [C] : m1_relset_1(C,A,B) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m1_subset_1,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ? [B] : m1_subset_1(B,A) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m2_filter_2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ? [B] : m2_filter_2(B,A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m2_lattice4,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v10_lattices(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ? [B] : m2_lattice4(B,A) ) ).
% 177.57/177.58
% 177.57/177.58 fof(existence_m2_relset_1,axiom,
% 177.57/177.58 ! [A,B] :
% 177.57/177.58 ? [C] : m2_relset_1(C,A,B) ).
% 177.57/177.58
% 177.57/177.58 fof(fc1_lattice2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & l3_lattices(A) )
% 177.57/177.58 => ( ~ v3_struct_0(k1_lattice2(A))
% 177.57/177.58 & v3_lattices(k1_lattice2(A)) ) ) ).
% 177.57/177.58
% 177.57/177.58 fof(fc1_struct_0,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & l1_struct_0(A) )
% 177.57/177.58 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 177.57/177.58
% 177.57/177.58 fof(fc1_subset_1,axiom,
% 177.57/177.58 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 177.57/177.58
% 177.57/177.58 fof(fc1_xboole_0,axiom,
% 177.57/177.58 v1_xboole_0(k1_xboole_0) ).
% 177.57/177.58
% 177.57/177.58 fof(fc2_lattice2,axiom,
% 177.57/177.58 ! [A] :
% 177.57/177.58 ( ( ~ v3_struct_0(A)
% 177.57/177.58 & v4_lattices(A)
% 177.57/177.58 & l2_lattices(A) )
% 177.57/177.58 => ( v1_relat_1(u2_lattices(A))
% 177.57/177.58 & v1_funct_1(u2_lattices(A))
% 177.57/177.58 & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.58 & v1_binop_1(u2_lattices(A),u1_struct_0(A))
% 177.57/177.59 & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc3_lattice2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v5_lattices(A)
% 177.57/177.59 & l2_lattices(A) )
% 177.57/177.59 => ( v1_relat_1(u2_lattices(A))
% 177.57/177.59 & v1_funct_1(u2_lattices(A))
% 177.57/177.59 & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.59 & v2_binop_1(u2_lattices(A),u1_struct_0(A))
% 177.57/177.59 & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc3_lattices,axiom,
% 177.57/177.59 ! [A,B,C] :
% 177.57/177.59 ( ( ~ v1_xboole_0(A)
% 177.57/177.59 & v1_funct_1(B)
% 177.57/177.59 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & v1_funct_1(C)
% 177.57/177.59 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 177.57/177.59 => ( ~ v3_struct_0(g3_lattices(A,B,C))
% 177.57/177.59 & v3_lattices(g3_lattices(A,B,C)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc4_lattice2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v6_lattices(A)
% 177.57/177.59 & l1_lattices(A) )
% 177.57/177.59 => ( v1_relat_1(u1_lattices(A))
% 177.57/177.59 & v1_funct_1(u1_lattices(A))
% 177.57/177.59 & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.59 & v1_binop_1(u1_lattices(A),u1_struct_0(A))
% 177.57/177.59 & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc4_subset_1,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ( ( ~ v1_xboole_0(A)
% 177.57/177.59 & ~ v1_xboole_0(B) )
% 177.57/177.59 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc5_lattice2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v7_lattices(A)
% 177.57/177.59 & l1_lattices(A) )
% 177.57/177.59 => ( v1_relat_1(u1_lattices(A))
% 177.57/177.59 & v1_funct_1(u1_lattices(A))
% 177.57/177.59 & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
% 177.57/177.59 & v2_binop_1(u1_lattices(A),u1_struct_0(A))
% 177.57/177.59 & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(fc6_lattice2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v10_lattices(A)
% 177.57/177.59 & l3_lattices(A) )
% 177.57/177.59 => ( ~ v3_struct_0(k1_lattice2(A))
% 177.57/177.59 & v3_lattices(k1_lattice2(A))
% 177.57/177.59 & v4_lattices(k1_lattice2(A))
% 177.57/177.59 & v5_lattices(k1_lattice2(A))
% 177.57/177.59 & v6_lattices(k1_lattice2(A))
% 177.57/177.59 & v7_lattices(k1_lattice2(A))
% 177.57/177.59 & v8_lattices(k1_lattice2(A))
% 177.57/177.59 & v9_lattices(k1_lattice2(A))
% 177.57/177.59 & v10_lattices(k1_lattice2(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(free_g3_lattices,axiom,
% 177.57/177.59 ! [A,B,C] :
% 177.57/177.59 ( ( v1_funct_1(B)
% 177.57/177.59 & v1_funct_2(B,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & m1_relset_1(B,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & v1_funct_1(C)
% 177.57/177.59 & v1_funct_2(C,k2_zfmisc_1(A,A),A)
% 177.57/177.59 & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
% 177.57/177.59 => ! [D,E,F] :
% 177.57/177.59 ( g3_lattices(A,B,C) = g3_lattices(D,E,F)
% 177.57/177.59 => ( A = D
% 177.57/177.59 & B = E
% 177.57/177.59 & C = F ) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc1_funct_1,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( v1_relat_1(A)
% 177.57/177.59 & v1_funct_1(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc1_lattice4,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v10_lattices(A)
% 177.57/177.59 & l3_lattices(A) )
% 177.57/177.59 => ? [B] :
% 177.57/177.59 ( m2_lattice4(B,A)
% 177.57/177.59 & ~ v1_xboole_0(B) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc1_subset_1,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ~ v1_xboole_0(A)
% 177.57/177.59 => ? [B] :
% 177.57/177.59 ( m1_subset_1(B,k1_zfmisc_1(A))
% 177.57/177.59 & ~ v1_xboole_0(B) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc1_xboole_0,axiom,
% 177.57/177.59 ? [A] : v1_xboole_0(A) ).
% 177.57/177.59
% 177.57/177.59 fof(rc2_funct_1,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( v1_relat_1(A)
% 177.57/177.59 & v1_xboole_0(A)
% 177.57/177.59 & v1_funct_1(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc2_subset_1,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ? [B] :
% 177.57/177.59 ( m1_subset_1(B,k1_zfmisc_1(A))
% 177.57/177.59 & v1_xboole_0(B) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc2_xboole_0,axiom,
% 177.57/177.59 ? [A] : ~ v1_xboole_0(A) ).
% 177.57/177.59
% 177.57/177.59 fof(rc3_funct_1,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( v1_relat_1(A)
% 177.57/177.59 & v1_funct_1(A)
% 177.57/177.59 & v2_funct_1(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc3_lattices,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( l3_lattices(A)
% 177.57/177.59 & v3_lattices(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc3_struct_0,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( l1_struct_0(A)
% 177.57/177.59 & ~ v3_struct_0(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc5_struct_0,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & l1_struct_0(A) )
% 177.57/177.59 => ? [B] :
% 177.57/177.59 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 177.57/177.59 & ~ v1_xboole_0(B) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc6_lattices,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( l3_lattices(A)
% 177.57/177.59 & ~ v3_struct_0(A)
% 177.57/177.59 & v3_lattices(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(rc9_lattices,axiom,
% 177.57/177.59 ? [A] :
% 177.57/177.59 ( l3_lattices(A)
% 177.57/177.59 & ~ v3_struct_0(A)
% 177.57/177.59 & v3_lattices(A)
% 177.57/177.59 & v4_lattices(A)
% 177.57/177.59 & v5_lattices(A)
% 177.57/177.59 & v6_lattices(A)
% 177.57/177.59 & v7_lattices(A)
% 177.57/177.59 & v8_lattices(A)
% 177.57/177.59 & v9_lattices(A)
% 177.57/177.59 & v10_lattices(A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(redefinition_m1_filter_2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v10_lattices(A)
% 177.57/177.59 & l3_lattices(A) )
% 177.57/177.59 => ! [B] :
% 177.57/177.59 ( m1_filter_2(B,A)
% 177.57/177.59 <=> m1_filter_0(B,A) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(redefinition_m2_relset_1,axiom,
% 177.57/177.59 ! [A,B,C] :
% 177.57/177.59 ( m2_relset_1(C,A,B)
% 177.57/177.59 <=> m1_relset_1(C,A,B) ) ).
% 177.57/177.59
% 177.57/177.59 fof(reflexivity_r1_tarski,axiom,
% 177.57/177.59 ! [A,B] : r1_tarski(A,A) ).
% 177.57/177.59
% 177.57/177.59 fof(t15_filter_0,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v10_lattices(A)
% 177.57/177.59 & l3_lattices(A) )
% 177.57/177.59 => m1_filter_0(u1_struct_0(A),A) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t1_subset,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ( r2_hidden(A,B)
% 177.57/177.59 => m1_subset_1(A,B) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t21_filter_2,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( ( ~ v3_struct_0(A)
% 177.57/177.59 & v10_lattices(A)
% 177.57/177.59 & l3_lattices(A) )
% 177.57/177.59 => ! [B] :
% 177.57/177.59 ( m2_filter_2(B,A)
% 177.57/177.59 <=> m1_filter_2(B,k1_lattice2(A)) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t2_subset,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ( m1_subset_1(A,B)
% 177.57/177.59 => ( v1_xboole_0(B)
% 177.57/177.59 | r2_hidden(A,B) ) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t3_subset,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ( m1_subset_1(A,k1_zfmisc_1(B))
% 177.57/177.59 <=> r1_tarski(A,B) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t4_subset,axiom,
% 177.57/177.59 ! [A,B,C] :
% 177.57/177.59 ( ( r2_hidden(A,B)
% 177.57/177.59 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 177.57/177.59 => m1_subset_1(A,C) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t5_subset,axiom,
% 177.57/177.59 ! [A,B,C] :
% 177.57/177.59 ~ ( r2_hidden(A,B)
% 177.57/177.59 & m1_subset_1(B,k1_zfmisc_1(C))
% 177.57/177.59 & v1_xboole_0(C) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t6_boole,axiom,
% 177.57/177.59 ! [A] :
% 177.57/177.59 ( v1_xboole_0(A)
% 177.57/177.59 => A = k1_xboole_0 ) ).
% 177.57/177.59
% 177.57/177.59 fof(t7_boole,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ~ ( r2_hidden(A,B)
% 177.57/177.59 & v1_xboole_0(B) ) ).
% 177.57/177.59
% 177.57/177.59 fof(t8_boole,axiom,
% 177.57/177.59 ! [A,B] :
% 177.57/177.59 ~ ( v1_xboole_0(A)
% 177.57/177.59 & A != B
% 177.57/177.59 & v1_xboole_0(B) ) ).
% 177.57/177.59
% 177.57/177.59 %------------------------------------------------------------------------------
% 177.57/177.59 %-------------------------------------------
% 177.57/177.59 % Proof found
% 177.57/177.59 % SZS status Theorem for theBenchmark
% 177.57/177.59 % SZS output start Proof
% 177.57/177.59 %ClaNum:215(EqnAxiom:73)
% 177.57/177.59 %VarNum:529(SingletonVarNum:148)
% 177.57/177.59 %MaxLitNum:9
% 177.57/177.59 %MaxfuncDepth:2
% 177.57/177.59 %SharedTerms:52
% 177.57/177.59 %goalClause: 74 76 110 116
% 177.57/177.59 %singleGoalClaCount:4
% 177.57/177.59 [74]P1(a1)
% 177.57/177.59 [75]P1(a12)
% 177.57/177.59 [76]P2(a1)
% 177.57/177.59 [77]P2(a18)
% 177.57/177.59 [78]P2(a13)
% 177.57/177.59 [79]P2(a15)
% 177.57/177.59 [80]P2(a12)
% 177.57/177.59 [81]P15(a13)
% 177.57/177.59 [82]P15(a15)
% 177.57/177.59 [83]P15(a12)
% 177.57/177.59 [84]P16(a22)
% 177.57/177.59 [85]P16(a2)
% 177.57/177.59 [86]P16(a9)
% 177.57/177.59 [87]P17(a3)
% 177.57/177.59 [88]P17(a9)
% 177.57/177.59 [89]P17(a14)
% 177.57/177.59 [90]P24(a12)
% 177.57/177.59 [91]P26(a12)
% 177.57/177.59 [92]P27(a12)
% 177.57/177.59 [93]P28(a12)
% 177.57/177.59 [94]P29(a12)
% 177.57/177.59 [95]P30(a12)
% 177.57/177.59 [96]P19(a3)
% 177.57/177.59 [97]P19(a9)
% 177.57/177.59 [98]P19(a14)
% 177.57/177.59 [99]P22(a14)
% 177.57/177.59 [100]P3(a19)
% 177.57/177.59 [101]P4(a20)
% 177.57/177.59 [102]P4(a16)
% 177.57/177.59 [103]P5(a21)
% 177.57/177.59 [110]~P25(a1)
% 177.57/177.59 [111]~P25(a16)
% 177.57/177.59 [112]~P25(a15)
% 177.57/177.59 [113]~P25(a12)
% 177.57/177.59 [114]~P16(a11)
% 177.57/177.59 [116]~P12(f30(a1),a1)
% 177.57/177.59 [105]P6(x1051,x1051)
% 177.57/177.59 [104]P16(f10(x1041))
% 177.57/177.59 [106]P7(f23(x1061),x1061)
% 177.57/177.59 [107]P7(f10(x1071),f29(x1071))
% 177.57/177.59 [115]~P16(f29(x1151))
% 177.57/177.59 [108]P8(f24(x1081,x1082),x1081,x1082)
% 177.57/177.59 [109]P11(f4(x1091,x1092),x1091,x1092)
% 177.57/177.59 [117]~P16(x1171)+E(x1171,a22)
% 177.57/177.59 [118]~P16(x1181)+P17(x1181)
% 177.57/177.59 [119]~P2(x1191)+P3(x1191)
% 177.57/177.59 [120]~P3(x1201)+P4(x1201)
% 177.57/177.59 [121]~P5(x1211)+P4(x1211)
% 177.57/177.59 [122]~P2(x1221)+P5(x1221)
% 177.57/177.59 [124]~P2(x1241)+P2(f27(x1241))
% 177.57/177.59 [125]~P2(x1251)+P15(f27(x1251))
% 177.57/177.59 [126]~P5(x1261)+P17(f33(x1261))
% 177.57/177.59 [127]~P3(x1271)+P17(f31(x1271))
% 177.57/177.59 [128]P16(x1281)+~P16(f7(x1281))
% 177.57/177.59 [157]P16(x1571)+P7(f7(x1571),f29(x1571))
% 177.57/177.59 [191]~P2(x1911)+E(f28(f30(x1911),f31(x1911),f33(x1911)),f27(x1911))
% 177.57/177.59 [194]~P5(x1941)+P20(f33(x1941),f32(f30(x1941),f30(x1941)),f30(x1941))
% 177.57/177.59 [195]~P3(x1951)+P20(f31(x1951),f32(f30(x1951),f30(x1951)),f30(x1951))
% 177.57/177.59 [196]~P5(x1961)+P11(f33(x1961),f32(f30(x1961),f30(x1961)),f30(x1961))
% 177.57/177.59 [197]~P3(x1971)+P11(f31(x1971),f32(f30(x1971),f30(x1971)),f30(x1971))
% 177.57/177.59 [156]~P16(x1561)+~P14(x1562,x1561)
% 177.57/177.59 [160]~P14(x1601,x1602)+P7(x1601,x1602)
% 177.57/177.59 [169]~P14(x1692,x1691)+~P14(x1691,x1692)
% 177.57/177.59 [168]~P6(x1681,x1682)+P7(x1681,f29(x1682))
% 177.57/177.59 [174]P6(x1741,x1742)+~P7(x1741,f29(x1742))
% 177.57/177.59 [206]~P11(x2061,x2062,x2063)+P8(x2061,x2062,x2063)
% 177.57/177.59 [207]~P8(x2071,x2072,x2073)+P11(x2071,x2072,x2073)
% 177.57/177.59 [193]P19(x1931)+~P7(x1931,f29(f32(x1932,x1933)))
% 177.57/177.59 [208]~P11(x2081,x2082,x2083)+P7(x2081,f29(f32(x2082,x2083)))
% 177.57/177.59 [137]~P2(x1371)+P25(x1371)+~P25(f27(x1371))
% 177.57/177.59 [138]~P4(x1381)+P25(x1381)+~P16(f30(x1381))
% 177.57/177.59 [139]~P4(x1391)+P25(x1391)+~P16(f17(x1391))
% 177.57/177.59 [178]~P4(x1781)+P25(x1781)+P7(f17(x1781),f29(f30(x1781)))
% 177.57/177.59 [192]~P2(x1921)+~P15(x1921)+E(f28(f30(x1921),f33(x1921),f31(x1921)),x1921)
% 177.57/177.59 [123]~P16(x1232)+~P16(x1231)+E(x1231,x1232)
% 177.57/177.59 [167]~P7(x1672,x1671)+P16(x1671)+P14(x1672,x1671)
% 177.57/177.59 [183]P16(x1831)+P16(x1832)+~P16(f32(x1832,x1831))
% 177.57/177.59 [186]~P16(x1861)+~P14(x1862,x1863)+~P7(x1863,f29(x1861))
% 177.57/177.59 [188]P7(x1881,x1882)+~P14(x1881,x1883)+~P7(x1883,f29(x1882))
% 177.57/177.59 [130]P24(x1301)+~P1(x1301)+~P2(x1301)+P25(x1301)
% 177.57/177.59 [131]P26(x1311)+~P1(x1311)+~P2(x1311)+P25(x1311)
% 177.57/177.59 [132]P27(x1321)+~P1(x1321)+~P2(x1321)+P25(x1321)
% 177.57/177.59 [133]P28(x1331)+~P1(x1331)+~P2(x1331)+P25(x1331)
% 177.57/177.59 [134]P29(x1341)+~P1(x1341)+~P2(x1341)+P25(x1341)
% 177.57/177.59 [135]P30(x1351)+~P1(x1351)+~P2(x1351)+P25(x1351)
% 177.57/177.59 [136]~P16(x1361)+~P17(x1361)+~P19(x1361)+P22(x1361)
% 177.57/177.59 [140]~P1(x1401)+~P2(x1401)+P25(x1401)+P1(f27(x1401))
% 177.57/177.59 [146]~P1(x1461)+~P2(x1461)+P25(x1461)+P24(f27(x1461))
% 177.57/177.59 [147]~P1(x1471)+~P2(x1471)+P25(x1471)+P26(f27(x1471))
% 177.57/177.59 [148]~P1(x1481)+~P2(x1481)+P25(x1481)+P27(f27(x1481))
% 177.57/177.59 [149]~P1(x1491)+~P2(x1491)+P25(x1491)+P28(f27(x1491))
% 177.57/177.59 [150]~P1(x1501)+~P2(x1501)+P25(x1501)+P29(f27(x1501))
% 177.57/177.59 [151]~P1(x1511)+~P2(x1511)+P25(x1511)+P30(f27(x1511))
% 177.57/177.59 [152]~P24(x1521)+~P5(x1521)+P25(x1521)+P19(f33(x1521))
% 177.57/177.59 [153]~P26(x1531)+~P5(x1531)+P25(x1531)+P19(f33(x1531))
% 177.57/177.59 [154]~P27(x1541)+~P3(x1541)+P25(x1541)+P19(f31(x1541))
% 177.57/177.59 [155]~P28(x1551)+~P3(x1551)+P25(x1551)+P19(f31(x1551))
% 177.57/177.59 [159]~P1(x1591)+~P2(x1591)+P25(x1591)+~P16(f8(x1591))
% 177.57/177.59 [161]~P1(x1611)+~P2(x1611)+P25(x1611)+P12(f5(x1611),x1611)
% 177.57/177.59 [162]~P1(x1621)+~P2(x1621)+P25(x1621)+P9(f30(x1621),x1621)
% 177.57/177.59 [163]~P1(x1631)+~P2(x1631)+P25(x1631)+P9(f25(x1631),x1631)
% 177.57/177.59 [164]~P1(x1641)+~P2(x1641)+P25(x1641)+P10(f26(x1641),x1641)
% 177.57/177.59 [165]~P1(x1651)+~P2(x1651)+P25(x1651)+P13(f6(x1651),x1651)
% 177.57/177.59 [166]~P1(x1661)+~P2(x1661)+P25(x1661)+P13(f8(x1661),x1661)
% 177.57/177.59 [170]~P24(x1701)+~P5(x1701)+P25(x1701)+P18(f33(x1701),f30(x1701))
% 177.57/177.59 [171]~P27(x1711)+~P3(x1711)+P25(x1711)+P18(f31(x1711),f30(x1711))
% 177.57/177.59 [172]~P26(x1721)+~P5(x1721)+P25(x1721)+P23(f33(x1721),f30(x1721))
% 177.57/177.59 [173]~P28(x1731)+~P3(x1731)+P25(x1731)+P23(f31(x1731),f30(x1731))
% 177.57/177.59 [202]~P24(x2021)+~P5(x2021)+P25(x2021)+P21(f33(x2021),f32(f30(x2021),f30(x2021)),f30(x2021))
% 177.57/177.59 [203]~P26(x2031)+~P5(x2031)+P25(x2031)+P21(f33(x2031),f32(f30(x2031),f30(x2031)),f30(x2031))
% 177.57/177.59 [204]~P27(x2041)+~P3(x2041)+P25(x2041)+P21(f31(x2041),f32(f30(x2041),f30(x2041)),f30(x2041))
% 177.57/177.59 [205]~P28(x2051)+~P3(x2051)+P25(x2051)+P21(f31(x2051),f32(f30(x2051),f30(x2051)),f30(x2051))
% 177.57/177.59 [175]~P1(x1751)+~P2(x1751)+~P12(x1752,x1751)+P25(x1751)+~P16(x1752)
% 177.57/177.59 [176]~P1(x1761)+~P2(x1761)+~P9(x1762,x1761)+P25(x1761)+~P16(x1762)
% 177.57/177.59 [177]~P1(x1771)+~P2(x1771)+~P10(x1772,x1771)+P25(x1771)+~P16(x1772)
% 177.57/177.59 [179]~P1(x1791)+~P2(x1791)+~P10(x1792,x1791)+P25(x1791)+P9(x1792,x1791)
% 177.57/177.59 [180]~P1(x1801)+~P2(x1801)+~P9(x1802,x1801)+P25(x1801)+P10(x1802,x1801)
% 177.57/177.59 [181]~P1(x1811)+~P2(x1811)+~P12(x1812,x1811)+P25(x1811)+P13(x1812,x1811)
% 177.57/177.59 [182]~P1(x1821)+~P2(x1821)+~P10(x1822,x1821)+P25(x1821)+P13(x1822,x1821)
% 177.57/177.59 [185]~P1(x1851)+~P2(x1851)+~P12(x1852,x1851)+P25(x1851)+P10(x1852,f27(x1851))
% 177.57/177.59 [187]~P1(x1871)+~P2(x1871)+P25(x1871)+P12(x1872,x1871)+~P10(x1872,f27(x1871))
% 177.57/177.59 [189]~P1(x1891)+~P2(x1891)+~P9(x1892,x1891)+P25(x1891)+P7(x1892,f29(f30(x1891)))
% 177.57/177.59 [190]~P1(x1901)+~P2(x1901)+~P13(x1902,x1901)+P25(x1901)+P7(x1902,f29(f30(x1901)))
% 177.57/177.59 [209]~P17(x2093)+~P17(x2092)+~P20(x2093,f32(x2091,x2091),x2091)+~P20(x2092,f32(x2091,x2091),x2091)+~P8(x2093,f32(x2091,x2091),x2091)+~P8(x2092,f32(x2091,x2091),x2091)+P2(f28(x2091,x2092,x2093))
% 177.57/177.59 [210]~P17(x2103)+~P17(x2102)+~P20(x2103,f32(x2101,x2101),x2101)+~P20(x2102,f32(x2101,x2101),x2101)+~P8(x2103,f32(x2101,x2101),x2101)+~P8(x2102,f32(x2101,x2101),x2101)+P15(f28(x2101,x2102,x2103))
% 177.57/177.59 [215]P16(x2151)+~P17(x2152)+~P17(x2153)+~P20(x2152,f32(x2151,x2151),x2151)+~P20(x2153,f32(x2151,x2151),x2151)+~P8(x2152,f32(x2151,x2151),x2151)+~P8(x2153,f32(x2151,x2151),x2151)+~P25(f28(x2151,x2153,x2152))
% 177.57/177.59 [212]~P17(x2124)+~P17(x2121)+E(x2121,x2122)+~P20(x2124,f32(x2123,x2123),x2123)+~P20(x2121,f32(x2123,x2123),x2123)+~P8(x2124,f32(x2123,x2123),x2123)+~P8(x2121,f32(x2123,x2123),x2123)+~E(f28(x2123,x2124,x2121),f28(x2125,x2126,x2122))
% 177.57/177.59 [213]~P17(x2134)+~P17(x2131)+E(x2131,x2132)+~P20(x2134,f32(x2133,x2133),x2133)+~P20(x2131,f32(x2133,x2133),x2133)+~P8(x2134,f32(x2133,x2133),x2133)+~P8(x2131,f32(x2133,x2133),x2133)+~E(f28(x2133,x2131,x2134),f28(x2135,x2132,x2136))
% 177.57/177.59 [214]~P17(x2144)+~P17(x2143)+E(x2141,x2142)+~P20(x2144,f32(x2141,x2141),x2141)+~P20(x2143,f32(x2141,x2141),x2141)+~P8(x2144,f32(x2141,x2141),x2141)+~P8(x2143,f32(x2141,x2141),x2141)+~E(f28(x2141,x2143,x2144),f28(x2142,x2145,x2146))
% 177.57/177.59 [184]P1(x1841)+~P2(x1841)+~P24(x1841)+~P26(x1841)+~P27(x1841)+~P28(x1841)+~P29(x1841)+~P30(x1841)+P25(x1841)
% 177.57/177.59 %EqnAxiom
% 177.57/177.59 [1]E(x11,x11)
% 177.57/177.59 [2]E(x22,x21)+~E(x21,x22)
% 177.57/177.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 177.57/177.59 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 177.57/177.59 [5]~E(x51,x52)+E(f23(x51),f23(x52))
% 177.57/177.59 [6]~E(x61,x62)+E(f32(x61,x63),f32(x62,x63))
% 177.57/177.59 [7]~E(x71,x72)+E(f32(x73,x71),f32(x73,x72))
% 177.57/177.59 [8]~E(x81,x82)+E(f29(x81),f29(x82))
% 177.57/177.59 [9]~E(x91,x92)+E(f24(x91,x93),f24(x92,x93))
% 177.57/177.59 [10]~E(x101,x102)+E(f24(x103,x101),f24(x103,x102))
% 177.57/177.59 [11]~E(x111,x112)+E(f4(x111,x113),f4(x112,x113))
% 177.57/177.59 [12]~E(x121,x122)+E(f4(x123,x121),f4(x123,x122))
% 177.57/177.59 [13]~E(x131,x132)+E(f30(x131),f30(x132))
% 177.57/177.59 [14]~E(x141,x142)+E(f33(x141),f33(x142))
% 177.57/177.59 [15]~E(x151,x152)+E(f27(x151),f27(x152))
% 177.57/177.59 [16]~E(x161,x162)+E(f31(x161),f31(x162))
% 177.57/177.59 [17]~E(x171,x172)+E(f28(x171,x173,x174),f28(x172,x173,x174))
% 177.57/177.59 [18]~E(x181,x182)+E(f28(x183,x181,x184),f28(x183,x182,x184))
% 177.57/177.59 [19]~E(x191,x192)+E(f28(x193,x194,x191),f28(x193,x194,x192))
% 177.57/177.59 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 177.57/177.59 [21]~E(x211,x212)+E(f17(x211),f17(x212))
% 177.57/177.59 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 177.57/177.59 [23]~E(x231,x232)+E(f5(x231),f5(x232))
% 177.57/177.59 [24]~E(x241,x242)+E(f25(x241),f25(x242))
% 177.57/177.59 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 177.57/177.59 [26]~E(x261,x262)+E(f26(x261),f26(x262))
% 177.57/177.59 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 177.57/177.59 [28]P8(x282,x283,x284)+~E(x281,x282)+~P8(x281,x283,x284)
% 177.57/177.59 [29]P8(x293,x292,x294)+~E(x291,x292)+~P8(x293,x291,x294)
% 177.57/177.59 [30]P8(x303,x304,x302)+~E(x301,x302)+~P8(x303,x304,x301)
% 177.57/177.59 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 177.57/177.59 [32]P11(x322,x323,x324)+~E(x321,x322)+~P11(x321,x323,x324)
% 177.57/177.59 [33]P11(x333,x332,x334)+~E(x331,x332)+~P11(x333,x331,x334)
% 177.57/177.59 [34]P11(x343,x344,x342)+~E(x341,x342)+~P11(x343,x344,x341)
% 177.57/177.59 [35]P13(x352,x353)+~E(x351,x352)+~P13(x351,x353)
% 177.57/177.60 [36]P13(x363,x362)+~E(x361,x362)+~P13(x363,x361)
% 177.57/177.60 [37]~P3(x371)+P3(x372)+~E(x371,x372)
% 177.57/177.60 [38]~P28(x381)+P28(x382)+~E(x381,x382)
% 177.57/177.60 [39]~P15(x391)+P15(x392)+~E(x391,x392)
% 177.57/177.60 [40]~P17(x401)+P17(x402)+~E(x401,x402)
% 177.57/177.60 [41]~P25(x411)+P25(x412)+~E(x411,x412)
% 177.57/177.60 [42]~P16(x421)+P16(x422)+~E(x421,x422)
% 177.57/177.60 [43]P20(x432,x433,x434)+~E(x431,x432)+~P20(x431,x433,x434)
% 177.57/177.60 [44]P20(x443,x442,x444)+~E(x441,x442)+~P20(x443,x441,x444)
% 177.57/177.60 [45]P20(x453,x454,x452)+~E(x451,x452)+~P20(x453,x454,x451)
% 177.57/177.60 [46]~P5(x461)+P5(x462)+~E(x461,x462)
% 177.57/177.60 [47]P9(x472,x473)+~E(x471,x472)+~P9(x471,x473)
% 177.57/177.60 [48]P9(x483,x482)+~E(x481,x482)+~P9(x483,x481)
% 177.57/177.60 [49]~P30(x491)+P30(x492)+~E(x491,x492)
% 177.57/177.60 [50]P12(x502,x503)+~E(x501,x502)+~P12(x501,x503)
% 177.57/177.60 [51]P12(x513,x512)+~E(x511,x512)+~P12(x513,x511)
% 177.57/177.60 [52]~P24(x521)+P24(x522)+~E(x521,x522)
% 177.57/177.60 [53]~P26(x531)+P26(x532)+~E(x531,x532)
% 177.57/177.60 [54]~P27(x541)+P27(x542)+~E(x541,x542)
% 177.57/177.60 [55]P7(x552,x553)+~E(x551,x552)+~P7(x551,x553)
% 177.57/177.60 [56]P7(x563,x562)+~E(x561,x562)+~P7(x563,x561)
% 177.57/177.60 [57]~P29(x571)+P29(x572)+~E(x571,x572)
% 177.57/177.60 [58]P10(x582,x583)+~E(x581,x582)+~P10(x581,x583)
% 177.57/177.60 [59]P10(x593,x592)+~E(x591,x592)+~P10(x593,x591)
% 177.57/177.60 [60]~P19(x601)+P19(x602)+~E(x601,x602)
% 177.57/177.60 [61]P18(x612,x613)+~E(x611,x612)+~P18(x611,x613)
% 177.57/177.60 [62]P18(x623,x622)+~E(x621,x622)+~P18(x623,x621)
% 177.57/177.60 [63]P6(x632,x633)+~E(x631,x632)+~P6(x631,x633)
% 177.57/177.60 [64]P6(x643,x642)+~E(x641,x642)+~P6(x643,x641)
% 177.57/177.60 [65]~P22(x651)+P22(x652)+~E(x651,x652)
% 177.57/177.60 [66]P21(x662,x663,x664)+~E(x661,x662)+~P21(x661,x663,x664)
% 177.57/177.60 [67]P21(x673,x672,x674)+~E(x671,x672)+~P21(x673,x671,x674)
% 177.57/177.60 [68]P21(x683,x684,x682)+~E(x681,x682)+~P21(x683,x684,x681)
% 177.57/177.60 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 177.57/177.60 [70]P14(x702,x703)+~E(x701,x702)+~P14(x701,x703)
% 177.57/177.60 [71]P14(x713,x712)+~E(x711,x712)+~P14(x713,x711)
% 177.57/177.60 [72]P23(x722,x723)+~E(x721,x722)+~P23(x721,x723)
% 177.57/177.60 [73]P23(x733,x732)+~E(x731,x732)+~P23(x733,x731)
% 177.57/177.60
% 177.57/177.60 %-------------------------------------------
% 177.57/177.62 cnf(216,plain,
% 177.57/177.62 (~P14(x2161,a22)),
% 177.57/177.62 inference(scs_inference,[],[84,156])).
% 177.57/177.62 cnf(217,plain,
% 177.57/177.62 (P19(f10(f32(x2171,x2172)))),
% 177.57/177.62 inference(scs_inference,[],[84,107,156,193])).
% 177.57/177.62 cnf(220,plain,
% 177.57/177.62 (P6(f23(f29(x2201)),x2201)),
% 177.57/177.62 inference(scs_inference,[],[84,106,107,156,193,174])).
% 177.57/177.62 cnf(221,plain,
% 177.57/177.62 (P7(f23(x2211),x2211)),
% 177.57/177.62 inference(rename_variables,[],[106])).
% 177.57/177.62 cnf(223,plain,
% 177.57/177.62 (P14(f23(a11),a11)),
% 177.57/177.62 inference(scs_inference,[],[84,114,106,221,107,156,193,174,167])).
% 177.57/177.62 cnf(224,plain,
% 177.57/177.62 (P7(f23(x2241),x2241)),
% 177.57/177.62 inference(rename_variables,[],[106])).
% 177.57/177.62 cnf(226,plain,
% 177.57/177.62 (~P14(x2261,f23(f29(a22)))),
% 177.57/177.62 inference(scs_inference,[],[84,114,106,221,224,107,156,193,174,167,186])).
% 177.57/177.62 cnf(233,plain,
% 177.57/177.62 (P29(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134])).
% 177.57/177.62 cnf(235,plain,
% 177.57/177.62 (P28(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133])).
% 177.57/177.62 cnf(237,plain,
% 177.57/177.62 (P27(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133,132])).
% 177.57/177.62 cnf(241,plain,
% 177.57/177.62 (P24(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130])).
% 177.57/177.62 cnf(243,plain,
% 177.57/177.62 (~P10(a22,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177])).
% 177.57/177.62 cnf(245,plain,
% 177.57/177.62 (~P9(a22,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176])).
% 177.57/177.62 cnf(247,plain,
% 177.57/177.62 (~P12(a22,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175])).
% 177.57/177.62 cnf(249,plain,
% 177.57/177.62 (P11(f24(x2491,x2492),x2491,x2492)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,108,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207])).
% 177.57/177.62 cnf(251,plain,
% 177.57/177.62 (P8(f4(x2511,x2512),x2511,x2512)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206])).
% 177.57/177.62 cnf(253,plain,
% 177.57/177.62 (~P14(a11,f23(a11))),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169])).
% 177.57/177.62 cnf(255,plain,
% 177.57/177.62 (P5(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122])).
% 177.57/177.62 cnf(259,plain,
% 177.57/177.62 (P4(a19)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120])).
% 177.57/177.62 cnf(261,plain,
% 177.57/177.62 (P3(a1)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119])).
% 177.57/177.62 cnf(263,plain,
% 177.57/177.62 (P17(a22)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118])).
% 177.57/177.62 cnf(265,plain,
% 177.57/177.62 (E(a2,a22)),
% 177.57/177.62 inference(scs_inference,[],[74,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117])).
% 177.57/177.62 cnf(267,plain,
% 177.57/177.62 (P7(x2671,f29(x2671))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168])).
% 177.57/177.62 cnf(269,plain,
% 177.57/177.62 (~P16(f7(a11))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128])).
% 177.57/177.62 cnf(271,plain,
% 177.57/177.62 (P17(f31(a19))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127])).
% 177.57/177.62 cnf(273,plain,
% 177.57/177.62 (P17(f33(a21))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126])).
% 177.57/177.62 cnf(275,plain,
% 177.57/177.62 (P15(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125])).
% 177.57/177.62 cnf(277,plain,
% 177.57/177.62 (P2(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124])).
% 177.57/177.62 cnf(279,plain,
% 177.57/177.62 (E(f26(a2),f26(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26])).
% 177.57/177.62 cnf(280,plain,
% 177.57/177.62 (E(f6(a2),f6(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25])).
% 177.57/177.62 cnf(281,plain,
% 177.57/177.62 (E(f25(a2),f25(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24])).
% 177.57/177.62 cnf(282,plain,
% 177.57/177.62 (E(f5(a2),f5(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23])).
% 177.57/177.62 cnf(283,plain,
% 177.57/177.62 (E(f8(a2),f8(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22])).
% 177.57/177.62 cnf(284,plain,
% 177.57/177.62 (E(f17(a2),f17(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21])).
% 177.57/177.62 cnf(285,plain,
% 177.57/177.62 (E(f7(a2),f7(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20])).
% 177.57/177.62 cnf(286,plain,
% 177.57/177.62 (E(f28(x2861,x2862,a2),f28(x2861,x2862,a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19])).
% 177.57/177.62 cnf(287,plain,
% 177.57/177.62 (E(f28(x2871,a2,x2872),f28(x2871,a22,x2872))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18])).
% 177.57/177.62 cnf(288,plain,
% 177.57/177.62 (E(f28(a2,x2881,x2882),f28(a22,x2881,x2882))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17])).
% 177.57/177.62 cnf(289,plain,
% 177.57/177.62 (E(f31(a2),f31(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16])).
% 177.57/177.62 cnf(290,plain,
% 177.57/177.62 (E(f27(a2),f27(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15])).
% 177.57/177.62 cnf(291,plain,
% 177.57/177.62 (E(f33(a2),f33(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 177.57/177.62 cnf(292,plain,
% 177.57/177.62 (E(f30(a2),f30(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 177.57/177.62 cnf(293,plain,
% 177.57/177.62 (E(f4(x2931,a2),f4(x2931,a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 177.57/177.62 cnf(294,plain,
% 177.57/177.62 (E(f4(a2,x2941),f4(a22,x2941))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 177.57/177.62 cnf(295,plain,
% 177.57/177.62 (E(f24(x2951,a2),f24(x2951,a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 177.57/177.62 cnf(296,plain,
% 177.57/177.62 (E(f24(a2,x2961),f24(a22,x2961))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 177.57/177.62 cnf(297,plain,
% 177.57/177.62 (E(f29(a2),f29(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 177.57/177.62 cnf(298,plain,
% 177.57/177.62 (E(f32(x2981,a2),f32(x2981,a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 177.57/177.62 cnf(299,plain,
% 177.57/177.62 (E(f32(a2,x2991),f32(a22,x2991))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 177.57/177.62 cnf(300,plain,
% 177.57/177.62 (E(f23(a2),f23(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 177.57/177.62 cnf(301,plain,
% 177.57/177.62 (E(f10(a2),f10(a22))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 177.57/177.62 cnf(302,plain,
% 177.57/177.62 (P7(f4(x3021,x3022),f29(f32(x3021,x3022)))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208])).
% 177.57/177.62 cnf(304,plain,
% 177.57/177.62 (P7(f7(a11),f29(a11))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157])).
% 177.57/177.62 cnf(306,plain,
% 177.57/177.62 (P11(f31(a19),f32(f30(a19),f30(a19)),f30(a19))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197])).
% 177.57/177.62 cnf(308,plain,
% 177.57/177.62 (P11(f33(a21),f32(f30(a21),f30(a21)),f30(a21))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196])).
% 177.57/177.62 cnf(310,plain,
% 177.57/177.62 (P20(f31(a19),f32(f30(a19),f30(a19)),f30(a19))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195])).
% 177.57/177.62 cnf(312,plain,
% 177.57/177.62 (P20(f33(a21),f32(f30(a21),f30(a21)),f30(a21))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194])).
% 177.57/177.62 cnf(314,plain,
% 177.57/177.62 (E(f28(f30(a1),f31(a1),f33(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191])).
% 177.57/177.62 cnf(318,plain,
% 177.57/177.62 (~P10(a2,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58])).
% 177.57/177.62 cnf(319,plain,
% 177.57/177.62 (~P12(a2,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50])).
% 177.57/177.62 cnf(320,plain,
% 177.57/177.62 (~P9(a2,a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47])).
% 177.57/177.62 cnf(321,plain,
% 177.57/177.62 (~E(a22,a11)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42])).
% 177.57/177.62 cnf(322,plain,
% 177.57/177.62 (~P16(f32(a11,a11))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,103,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183])).
% 177.57/177.62 cnf(324,plain,
% 177.57/177.62 (~P16(f17(a16))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139])).
% 177.57/177.62 cnf(326,plain,
% 177.57/177.62 (~P16(f30(a16))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138])).
% 177.57/177.62 cnf(328,plain,
% 177.57/177.62 (~P25(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137])).
% 177.57/177.62 cnf(330,plain,
% 177.57/177.62 (P7(f17(a16),f29(f30(a16)))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178])).
% 177.57/177.62 cnf(332,plain,
% 177.57/177.62 (E(f28(f30(a13),f33(a13),f31(a13)),a13)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192])).
% 177.57/177.62 cnf(336,plain,
% 177.57/177.62 (P13(f6(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165])).
% 177.57/177.62 cnf(338,plain,
% 177.57/177.62 (P10(f26(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164])).
% 177.57/177.62 cnf(340,plain,
% 177.57/177.62 (P9(f25(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163])).
% 177.57/177.62 cnf(342,plain,
% 177.57/177.62 (P9(f30(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162])).
% 177.57/177.62 cnf(344,plain,
% 177.57/177.62 (P12(f5(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161])).
% 177.57/177.62 cnf(346,plain,
% 177.57/177.62 (~P16(f8(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159])).
% 177.57/177.62 cnf(352,plain,
% 177.57/177.62 (P30(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151])).
% 177.57/177.62 cnf(354,plain,
% 177.57/177.62 (P29(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150])).
% 177.57/177.62 cnf(356,plain,
% 177.57/177.62 (P28(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149])).
% 177.57/177.62 cnf(358,plain,
% 177.57/177.62 (P27(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148])).
% 177.57/177.62 cnf(360,plain,
% 177.57/177.62 (P26(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147])).
% 177.57/177.62 cnf(362,plain,
% 177.57/177.62 (P24(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146])).
% 177.57/177.62 cnf(364,plain,
% 177.57/177.62 (P1(f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140])).
% 177.57/177.62 cnf(366,plain,
% 177.57/177.62 (P23(f31(a1),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173])).
% 177.57/177.62 cnf(374,plain,
% 177.57/177.62 (P21(f31(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205])).
% 177.57/177.62 cnf(380,plain,
% 177.57/177.62 (P13(f5(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181])).
% 177.57/177.62 cnf(382,plain,
% 177.57/177.62 (P7(f8(a1),f29(f30(a1)))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181,190])).
% 177.57/177.62 cnf(384,plain,
% 177.57/177.62 (P7(f25(a1),f29(f30(a1)))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181,190,189])).
% 177.57/177.62 cnf(386,plain,
% 177.57/177.62 (~P10(f30(a1),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,116,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181,190,189,187])).
% 177.57/177.62 cnf(388,plain,
% 177.57/177.62 (P10(f5(a1),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,116,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181,190,189,187,185])).
% 177.57/177.62 cnf(390,plain,
% 177.57/177.62 (E(a22,a2)),
% 177.57/177.62 inference(scs_inference,[],[74,105,76,110,78,81,84,85,86,88,97,100,102,103,111,114,116,108,109,106,221,224,107,156,193,174,167,186,136,135,134,133,132,131,130,177,176,175,207,206,169,122,121,120,119,118,117,168,128,127,126,125,124,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,208,157,197,196,195,194,191,71,70,58,50,47,42,183,139,138,137,178,192,166,165,164,163,162,161,159,155,153,151,150,149,148,147,146,140,173,172,171,170,205,203,182,181,190,189,187,185,2])).
% 177.57/177.62 cnf(417,plain,
% 177.57/177.62 (P11(f4(x4171,f28(x4172,x4173,a2)),x4171,f28(x4172,x4173,a22))),
% 177.57/177.62 inference(scs_inference,[],[109,286,263,390,40,34])).
% 177.57/177.62 cnf(418,plain,
% 177.57/177.62 (P11(f4(x4181,x4182),x4181,x4182)),
% 177.57/177.62 inference(rename_variables,[],[109])).
% 177.57/177.62 cnf(419,plain,
% 177.57/177.62 (P11(f4(f28(x4191,x4192,a2),x4193),f28(x4191,x4192,a22),x4193)),
% 177.57/177.62 inference(scs_inference,[],[109,418,286,263,390,40,34,33])).
% 177.57/177.62 cnf(420,plain,
% 177.57/177.62 (P11(f4(x4201,x4202),x4201,x4202)),
% 177.57/177.62 inference(rename_variables,[],[109])).
% 177.57/177.62 cnf(421,plain,
% 177.57/177.62 (P11(f4(x4211,a22),x4211,a2)),
% 177.57/177.62 inference(scs_inference,[],[109,418,420,286,293,263,390,40,34,33,32])).
% 177.57/177.62 cnf(422,plain,
% 177.57/177.62 (E(f4(x4221,a2),f4(x4221,a22))),
% 177.57/177.62 inference(rename_variables,[],[293])).
% 177.57/177.62 cnf(424,plain,
% 177.57/177.62 (P8(f24(x4241,f28(x4242,x4243,a2)),x4241,f28(x4242,x4243,a22))),
% 177.57/177.62 inference(scs_inference,[],[108,109,418,420,286,293,263,390,40,34,33,32,30])).
% 177.57/177.62 cnf(425,plain,
% 177.57/177.62 (P8(f24(x4251,x4252),x4251,x4252)),
% 177.57/177.62 inference(rename_variables,[],[108])).
% 177.57/177.62 cnf(426,plain,
% 177.57/177.62 (P8(f24(f28(x4261,x4262,a2),x4263),f28(x4261,x4262,a22),x4263)),
% 177.57/177.62 inference(scs_inference,[],[108,425,109,418,420,286,293,263,390,40,34,33,32,30,29])).
% 177.57/177.62 cnf(428,plain,
% 177.57/177.62 (P8(f4(x4281,a22),x4281,a2)),
% 177.57/177.62 inference(scs_inference,[],[108,425,109,418,420,251,286,293,422,263,390,40,34,33,32,30,29,28])).
% 177.57/177.62 cnf(431,plain,
% 177.57/177.62 (E(f28(x4311,a2,a2),f28(x4311,a22,a22))),
% 177.57/177.62 inference(scs_inference,[],[108,425,109,418,420,251,286,287,293,422,263,390,40,34,33,32,30,29,28,3])).
% 177.57/177.62 cnf(432,plain,
% 177.57/177.62 (E(f28(x4321,x4322,a2),f28(x4321,x4322,a22))),
% 177.57/177.62 inference(rename_variables,[],[286])).
% 177.57/177.62 cnf(434,plain,
% 177.57/177.62 (~P9(f30(a1),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[108,425,109,418,420,251,286,287,293,422,277,328,364,386,263,390,40,34,33,32,30,29,28,3,180])).
% 177.57/177.62 cnf(436,plain,
% 177.57/177.62 (~P7(a11,f29(f10(x4361)))),
% 177.57/177.62 inference(scs_inference,[],[104,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186])).
% 177.57/177.62 cnf(438,plain,
% 177.57/177.62 (~P16(f32(f29(x4381),f29(x4381)))),
% 177.57/177.62 inference(scs_inference,[],[104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183])).
% 177.57/177.62 cnf(440,plain,
% 177.57/177.62 (P10(f26(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164])).
% 177.57/177.62 cnf(442,plain,
% 177.57/177.62 (P9(f25(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163])).
% 177.57/177.62 cnf(444,plain,
% 177.57/177.62 (P9(f30(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162])).
% 177.57/177.62 cnf(446,plain,
% 177.57/177.62 (~P16(f8(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159])).
% 177.57/177.62 cnf(448,plain,
% 177.57/177.62 (P29(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150])).
% 177.57/177.62 cnf(450,plain,
% 177.57/177.62 (P26(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147])).
% 177.57/177.62 cnf(452,plain,
% 177.57/177.62 (~P9(f10(x4521),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176])).
% 177.57/177.62 cnf(454,plain,
% 177.57/177.62 (~P12(f10(x4541),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175])).
% 177.57/177.62 cnf(456,plain,
% 177.57/177.62 (P24(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146])).
% 177.57/177.62 cnf(458,plain,
% 177.57/177.62 (~E(a11,a22)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,109,418,420,251,286,287,293,422,277,328,364,386,223,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2])).
% 177.57/177.62 cnf(462,plain,
% 177.57/177.62 (~E(a1,f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,105,109,418,420,251,286,287,293,422,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48])).
% 177.57/177.62 cnf(463,plain,
% 177.57/177.62 (~P25(f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,105,109,418,420,251,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41])).
% 177.57/177.62 cnf(464,plain,
% 177.57/177.62 (P16(f23(f29(a22)))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167])).
% 177.57/177.62 cnf(466,plain,
% 177.57/177.62 (~P25(f27(a15))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137])).
% 177.57/177.62 cnf(468,plain,
% 177.57/177.62 (E(f28(f30(a15),f33(a15),f31(a15)),a15)),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192])).
% 177.57/177.62 cnf(472,plain,
% 177.57/177.62 (P13(f6(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165])).
% 177.57/177.62 cnf(474,plain,
% 177.57/177.62 (P12(f5(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161])).
% 177.57/177.62 cnf(476,plain,
% 177.57/177.62 (P30(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151])).
% 177.57/177.62 cnf(478,plain,
% 177.57/177.62 (P28(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149])).
% 177.57/177.62 cnf(480,plain,
% 177.57/177.62 (P27(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148])).
% 177.57/177.62 cnf(482,plain,
% 177.57/177.62 (P1(f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140])).
% 177.57/177.62 cnf(484,plain,
% 177.57/177.62 (~P10(f10(x4841),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177])).
% 177.57/177.62 cnf(486,plain,
% 177.57/177.62 (P7(f25(a12),f29(f30(a12)))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189])).
% 177.57/177.62 cnf(488,plain,
% 177.57/177.62 (~P10(f10(x4881),f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187])).
% 177.57/177.62 cnf(490,plain,
% 177.57/177.62 (P10(f5(a12),f27(a12))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,112,113,104,115,108,425,106,105,109,418,420,251,226,286,287,293,422,314,277,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185])).
% 177.57/177.62 cnf(496,plain,
% 177.57/177.62 (~P14(a11,f29(f10(x4961)))),
% 177.57/177.62 inference(scs_inference,[],[75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,251,267,226,286,287,293,422,314,277,297,301,328,364,386,223,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188])).
% 177.57/177.62 cnf(498,plain,
% 177.57/177.62 (P9(f26(a1),a1)),
% 177.57/177.62 inference(scs_inference,[],[74,75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,277,297,301,328,364,386,223,338,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179])).
% 177.57/177.62 cnf(500,plain,
% 177.57/177.62 (P7(f8(a12),f29(f30(a12)))),
% 177.57/177.62 inference(scs_inference,[],[74,75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,277,297,301,328,364,386,223,338,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190])).
% 177.57/177.62 cnf(502,plain,
% 177.57/177.62 (~E(f5(a1),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,277,297,301,328,364,386,388,223,338,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190,58])).
% 177.57/177.62 cnf(503,plain,
% 177.57/177.62 (~E(f5(a12),f10(x5031))),
% 177.57/177.62 inference(scs_inference,[],[74,75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,277,297,301,328,364,386,388,223,338,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190,58,50])).
% 177.57/177.62 cnf(506,plain,
% 177.57/177.62 (P13(f5(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[74,75,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,277,297,301,328,364,386,388,223,338,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190,58,50,182,181])).
% 177.57/177.62 cnf(516,plain,
% 177.57/177.62 (~P16(f25(a1))),
% 177.57/177.62 inference(scs_inference,[],[74,75,77,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,287,293,422,314,245,277,297,301,328,364,386,388,223,338,340,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190,58,50,182,181,59,47,31,27,138,178,117])).
% 177.57/177.62 cnf(519,plain,
% 177.57/177.62 (~P14(x5191,f28(x5192,x5193,a2))+P14(x5191,f28(x5192,x5193,a22))),
% 177.57/177.62 inference(scs_inference,[],[74,75,77,79,80,82,101,112,113,104,115,108,425,106,107,105,109,418,420,114,76,110,251,267,226,286,432,287,293,422,314,245,277,297,301,328,364,366,386,388,223,338,340,342,263,321,390,40,34,33,32,30,29,28,3,180,186,183,164,163,162,159,150,147,176,175,146,2,168,64,48,41,167,137,192,166,165,161,151,149,148,140,177,189,187,185,56,55,42,69,188,179,190,58,50,182,181,59,47,31,27,138,178,117,72,71])).
% 177.57/177.62 cnf(530,plain,
% 177.57/177.62 (P9(f26(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,440,179])).
% 177.57/177.62 cnf(532,plain,
% 177.57/177.62 (P11(f4(x5321,f28(a2,x5322,x5323)),x5321,f28(a22,x5322,x5323))),
% 177.57/177.62 inference(scs_inference,[],[109,75,80,113,288,440,179,34])).
% 177.57/177.62 cnf(533,plain,
% 177.57/177.62 (P11(f4(x5331,x5332),x5331,x5332)),
% 177.57/177.62 inference(rename_variables,[],[109])).
% 177.57/177.62 cnf(534,plain,
% 177.57/177.62 (P11(f4(f28(a2,x5341,x5342),x5343),f28(a22,x5341,x5342),x5343)),
% 177.57/177.62 inference(scs_inference,[],[109,533,75,80,113,288,440,179,34,33])).
% 177.57/177.62 cnf(535,plain,
% 177.57/177.62 (P11(f4(x5351,x5352),x5351,x5352)),
% 177.57/177.62 inference(rename_variables,[],[109])).
% 177.57/177.62 cnf(536,plain,
% 177.57/177.62 (P8(f24(x5361,f28(a2,x5362,x5363)),x5361,f28(a22,x5362,x5363))),
% 177.57/177.62 inference(scs_inference,[],[108,109,533,75,80,113,288,440,179,34,33,30])).
% 177.57/177.62 cnf(537,plain,
% 177.57/177.62 (P8(f24(x5371,x5372),x5371,x5372)),
% 177.57/177.62 inference(rename_variables,[],[108])).
% 177.57/177.62 cnf(538,plain,
% 177.57/177.62 (P9(f30(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[108,109,533,75,80,113,288,440,277,364,328,179,34,33,30,162])).
% 177.57/177.62 cnf(540,plain,
% 177.57/177.62 (~P16(f8(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[108,109,533,75,80,113,288,440,277,364,328,179,34,33,30,162,159])).
% 177.57/177.62 cnf(544,plain,
% 177.57/177.62 (P26(f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[108,109,533,75,80,113,288,440,277,364,328,179,34,33,30,162,159,150,147])).
% 177.57/177.62 cnf(546,plain,
% 177.57/177.62 (~P9(a2,a12)),
% 177.57/177.62 inference(scs_inference,[],[85,108,109,533,75,80,113,288,440,277,364,328,179,34,33,30,162,159,150,147,176])).
% 177.57/177.62 cnf(548,plain,
% 177.57/177.62 (P24(f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[85,108,109,533,75,80,113,288,440,277,364,328,179,34,33,30,162,159,150,147,176,146])).
% 177.57/177.62 cnf(550,plain,
% 177.57/177.62 (P10(f25(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[85,108,109,533,75,80,113,288,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180])).
% 177.57/177.62 cnf(552,plain,
% 177.57/177.62 (P11(f4(a22,x5521),a2,x5521)),
% 177.57/177.62 inference(scs_inference,[],[85,108,109,533,535,75,80,113,288,294,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32])).
% 177.57/177.62 cnf(553,plain,
% 177.57/177.62 (P8(f24(f28(a2,x5531,x5532),x5533),f28(a22,x5531,x5532),x5533)),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29])).
% 177.57/177.62 cnf(554,plain,
% 177.57/177.62 (P8(f24(x5541,x5542),x5541,x5542)),
% 177.57/177.62 inference(rename_variables,[],[108])).
% 177.57/177.62 cnf(555,plain,
% 177.57/177.62 (E(f28(a2,a2,a2),f28(a22,a22,a22))),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3])).
% 177.57/177.62 cnf(556,plain,
% 177.57/177.62 (E(f28(a2,x5561,x5562),f28(a22,x5561,x5562))),
% 177.57/177.62 inference(rename_variables,[],[288])).
% 177.57/177.62 cnf(558,plain,
% 177.57/177.62 (P13(f8(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166])).
% 177.57/177.62 cnf(560,plain,
% 177.57/177.62 (P10(f26(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164])).
% 177.57/177.62 cnf(562,plain,
% 177.57/177.62 (P9(f25(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163])).
% 177.57/177.62 cnf(566,plain,
% 177.57/177.62 (~P10(a2,a12)),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177])).
% 177.57/177.62 cnf(568,plain,
% 177.57/177.62 (~P12(a2,a12)),
% 177.57/177.62 inference(scs_inference,[],[85,108,537,109,533,535,75,80,113,288,294,431,440,442,277,364,328,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175])).
% 177.57/177.62 cnf(570,plain,
% 177.57/177.62 (P7(f26(a1),f29(f30(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,108,537,109,533,535,75,80,113,110,288,294,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189])).
% 177.57/177.62 cnf(573,plain,
% 177.57/177.62 (P28(f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,108,537,554,109,533,535,75,80,113,110,288,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149])).
% 177.57/177.62 cnf(575,plain,
% 177.57/177.62 (P7(f5(a1),f29(f30(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,108,537,554,109,533,535,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190])).
% 177.57/177.62 cnf(577,plain,
% 177.57/177.62 (P14(f10(x5771),f29(x5771))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167])).
% 177.57/177.62 cnf(579,plain,
% 177.57/177.62 (P13(f6(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165])).
% 177.57/177.62 cnf(581,plain,
% 177.57/177.62 (P12(f5(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161])).
% 177.57/177.62 cnf(583,plain,
% 177.57/177.62 (P27(f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148])).
% 177.57/177.62 cnf(585,plain,
% 177.57/177.62 (P1(f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140])).
% 177.57/177.62 cnf(589,plain,
% 177.57/177.62 (P10(f5(f27(a1)),f27(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,388,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185])).
% 177.57/177.62 cnf(591,plain,
% 177.57/177.62 (E(a9,a22)),
% 177.57/177.62 inference(scs_inference,[],[76,85,86,115,108,537,554,109,533,535,107,75,80,113,110,288,380,294,295,431,440,442,498,277,364,388,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117])).
% 177.57/177.62 cnf(593,plain,
% 177.57/177.62 (E(f28(a22,x5931,x5932),f28(a2,x5931,x5932))),
% 177.57/177.62 inference(scs_inference,[],[76,85,86,115,108,537,554,109,533,535,107,75,80,113,110,288,556,380,294,295,431,440,442,498,277,364,388,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2])).
% 177.57/177.62 cnf(594,plain,
% 177.57/177.62 (~P12(a9,a1)),
% 177.57/177.62 inference(scs_inference,[],[76,85,86,115,108,537,554,109,533,535,107,75,80,113,110,288,556,380,294,295,431,247,440,442,498,277,364,388,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50])).
% 177.57/177.62 cnf(595,plain,
% 177.57/177.62 (~P9(f30(a1),f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,85,86,115,108,537,554,109,533,535,107,75,80,113,110,288,556,380,294,295,431,247,434,440,442,498,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48])).
% 177.57/177.62 cnf(597,plain,
% 177.57/177.62 (~P10(a9,a1)),
% 177.57/177.62 inference(scs_inference,[],[76,216,85,86,115,108,537,554,109,533,535,107,75,80,113,110,243,288,556,380,294,295,431,247,434,440,442,498,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58])).
% 177.57/177.62 cnf(599,plain,
% 177.57/177.62 (~P9(a9,a1)),
% 177.57/177.62 inference(scs_inference,[],[76,216,85,86,115,108,537,554,109,533,535,107,75,80,113,110,243,288,556,380,294,295,431,247,434,436,440,442,498,267,245,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47])).
% 177.57/177.62 cnf(601,plain,
% 177.57/177.62 (P19(a22)),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,75,80,113,110,243,288,556,380,294,295,431,247,434,436,440,442,498,267,245,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60])).
% 177.57/177.62 cnf(602,plain,
% 177.57/177.62 (~P16(f5(a12))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123])).
% 177.57/177.62 cnf(607,plain,
% 177.57/177.62 (~P7(f29(x6071),f29(a2))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186])).
% 177.57/177.62 cnf(609,plain,
% 177.57/177.62 (P14(f10(a22),f29(a2))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70])).
% 177.57/177.62 cnf(610,plain,
% 177.57/177.62 (~P10(a22,f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70,187])).
% 177.57/177.62 cnf(612,plain,
% 177.57/177.62 (~P6(f29(a2),a2)),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,85,86,97,115,108,537,554,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70,187,168])).
% 177.57/177.62 cnf(615,plain,
% 177.57/177.62 (~P3(a12)+P19(f31(a12))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,92,85,86,97,115,108,537,554,106,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70,187,168,55,154])).
% 177.57/177.62 cnf(619,plain,
% 177.57/177.62 (~P3(a12)+P21(f31(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,90,92,85,86,97,115,108,537,554,106,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70,187,168,55,154,152,204])).
% 177.57/177.62 cnf(625,plain,
% 177.57/177.62 (~P14(f29(a2),x6251)+~P7(x6251,f29(f29(a2)))),
% 177.57/177.62 inference(scs_inference,[],[76,216,99,90,92,85,86,97,115,108,537,554,106,109,533,535,107,104,75,80,113,110,243,288,556,380,294,295,503,431,247,434,436,440,442,498,267,245,277,301,364,388,314,328,74,179,34,33,30,162,159,150,147,176,146,180,32,29,3,166,164,163,151,177,175,189,28,149,190,167,165,161,148,140,182,185,117,2,50,48,71,58,56,47,65,60,123,169,186,70,187,168,55,154,152,204,202,160,188])).
% 177.57/177.62 cnf(636,plain,
% 177.57/177.62 (~E(a2,f29(a2))),
% 177.57/177.62 inference(scs_inference,[],[105,612,63])).
% 177.57/177.62 cnf(640,plain,
% 177.57/177.62 (P22(a22)),
% 177.57/177.62 inference(scs_inference,[],[105,84,609,612,601,263,63,169,136])).
% 177.57/177.62 cnf(642,plain,
% 177.57/177.62 (P10(f30(a12),a12)),
% 177.57/177.62 inference(scs_inference,[],[105,84,75,80,113,444,609,612,601,263,63,169,136,180])).
% 177.57/177.62 cnf(644,plain,
% 177.57/177.62 (~P14(x6441,f23(f29(a9)))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,444,609,612,601,263,63,169,136,180,186])).
% 177.57/177.62 cnf(645,plain,
% 177.57/177.62 (P7(f23(x6451),x6451)),
% 177.57/177.62 inference(rename_variables,[],[106])).
% 177.57/177.62 cnf(647,plain,
% 177.57/177.62 (P13(f5(f27(a1)),f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,444,581,609,612,601,263,364,277,328,63,169,136,180,186,181])).
% 177.57/177.62 cnf(649,plain,
% 177.57/177.62 (~P16(f30(a12))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,444,581,609,612,601,263,364,277,328,63,169,136,180,186,181,176])).
% 177.57/177.62 cnf(651,plain,
% 177.57/177.62 (~P16(f5(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,444,581,609,612,601,263,364,277,328,63,169,136,180,186,181,176,175])).
% 177.57/177.62 cnf(653,plain,
% 177.57/177.62 (P7(f26(a12),f29(f30(a12)))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,444,581,609,530,612,601,263,364,277,328,63,169,136,180,186,181,176,175,189])).
% 177.57/177.62 cnf(657,plain,
% 177.57/177.62 (~P16(f25(a12))),
% 177.57/177.62 inference(scs_inference,[],[86,106,105,84,75,80,113,458,444,581,609,530,550,612,591,601,263,390,364,277,328,63,169,136,180,186,181,176,175,189,64,3,177])).
% 177.57/177.62 cnf(659,plain,
% 177.57/177.62 (P12(f26(f27(a1)),a1)),
% 177.57/177.62 inference(scs_inference,[],[76,86,106,105,84,75,80,113,110,458,444,560,581,609,530,550,612,591,601,263,390,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187])).
% 177.57/177.62 cnf(662,plain,
% 177.57/177.62 (P16(f23(f29(a9)))),
% 177.57/177.62 inference(scs_inference,[],[76,86,106,645,105,84,75,80,113,110,458,502,444,560,581,609,530,550,612,591,601,263,390,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167])).
% 177.57/177.62 cnf(665,plain,
% 177.57/177.62 (~E(f26(a1),a2)),
% 177.57/177.62 inference(scs_inference,[],[76,216,86,106,645,105,84,75,80,113,110,318,458,502,444,560,581,609,530,550,612,591,601,338,263,390,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58])).
% 177.57/177.62 cnf(666,plain,
% 177.57/177.62 (~E(f5(a1),a2)),
% 177.57/177.62 inference(scs_inference,[],[76,216,86,106,645,105,84,75,80,113,110,318,319,458,502,444,560,581,609,530,550,612,591,601,344,338,263,390,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50])).
% 177.57/177.62 cnf(667,plain,
% 177.57/177.62 (P7(f28(a2,x6671,x6672),f29(f28(a22,x6671,x6672)))),
% 177.57/177.62 inference(scs_inference,[],[76,216,86,106,645,105,84,75,80,113,110,318,593,319,458,502,444,560,581,609,530,550,612,591,601,344,338,263,390,267,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55])).
% 177.57/177.62 cnf(668,plain,
% 177.57/177.62 (P7(x6681,f29(x6681))),
% 177.57/177.62 inference(rename_variables,[],[267])).
% 177.57/177.62 cnf(672,plain,
% 177.57/177.62 (~E(a12,x6721)+P29(x6721)),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,444,560,581,609,530,550,612,591,601,344,338,340,263,390,267,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57])).
% 177.57/177.62 cnf(673,plain,
% 177.57/177.62 (~P7(f29(a2),f29(a22))),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,444,560,581,609,530,550,612,591,601,344,338,340,263,390,267,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57,174])).
% 177.57/177.62 cnf(679,plain,
% 177.57/177.62 (~E(a1,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,444,560,581,595,609,530,550,612,591,601,344,338,340,342,263,390,267,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57,174,65,60,182,48])).
% 177.57/177.62 cnf(680,plain,
% 177.57/177.62 (~E(f29(f29(x6801)),f29(a2))),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,607,444,560,581,595,609,530,550,612,591,601,344,338,340,342,263,390,267,668,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57,174,65,60,182,48,56])).
% 177.57/177.62 cnf(681,plain,
% 177.57/177.62 (~P8(f33(a21),f32(f30(a21),f30(a21)),f30(a21))+P15(f28(f30(a21),f33(a21),f33(a21)))),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,607,312,444,560,581,595,273,609,530,550,612,591,601,344,338,340,342,263,390,267,668,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57,174,65,60,182,48,56,210])).
% 177.57/177.62 cnf(683,plain,
% 177.57/177.62 (~P8(f33(a21),f32(f30(a21),f30(a21)),f30(a21))+P2(f28(f30(a21),f33(a21),f33(a21)))),
% 177.57/177.62 inference(scs_inference,[],[76,94,216,86,106,645,105,107,84,75,80,113,110,318,593,319,320,458,502,607,312,444,560,581,595,273,609,530,550,612,591,601,344,338,340,342,263,390,267,668,364,277,328,74,63,169,136,180,186,181,176,175,189,64,3,177,187,2,167,71,58,50,55,47,625,57,174,65,60,182,48,56,210,209])).
% 177.57/177.62 cnf(694,plain,
% 177.57/177.62 (P6(f10(x6941),x6941)),
% 177.57/177.62 inference(scs_inference,[],[107,174])).
% 177.57/177.62 cnf(700,plain,
% 177.57/177.62 (~P7(f29(x7001),f29(a9))),
% 177.57/177.62 inference(scs_inference,[],[86,107,680,673,577,174,8,188,186])).
% 177.57/177.62 cnf(702,plain,
% 177.57/177.62 (P6(f24(a22,x7021),f24(a2,x7021))),
% 177.57/177.62 inference(scs_inference,[],[86,105,107,680,673,296,577,174,8,188,186,63])).
% 177.57/177.62 cnf(703,plain,
% 177.57/177.62 (P6(x7031,x7031)),
% 177.57/177.62 inference(rename_variables,[],[105])).
% 177.57/177.62 cnf(704,plain,
% 177.57/177.62 (~P9(a22,f27(a1))),
% 177.57/177.62 inference(scs_inference,[],[86,105,107,680,673,296,610,577,364,277,328,174,8,188,186,63,180])).
% 177.57/177.62 cnf(706,plain,
% 177.57/177.62 (P13(f26(f27(a1)),a1)),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,107,680,673,659,296,610,577,364,277,328,74,76,174,8,188,186,63,180,181])).
% 177.57/177.62 cnf(708,plain,
% 177.57/177.62 (~P16(f30(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,107,680,538,673,659,296,610,577,364,277,328,74,76,174,8,188,186,63,180,181,176])).
% 177.57/177.62 cnf(710,plain,
% 177.57/177.62 (~P16(f26(f27(a1)))),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,107,680,538,673,659,296,610,577,364,277,328,74,76,174,8,188,186,63,180,181,176,175])).
% 177.57/177.62 cnf(712,plain,
% 177.57/177.62 (P6(f24(a2,x7121),f24(a22,x7121))),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,703,107,680,538,673,659,296,610,577,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64])).
% 177.57/177.62 cnf(716,plain,
% 177.57/177.62 (E(f24(a2,a2),f24(a22,a22))),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,703,107,680,538,673,659,296,610,577,295,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3])).
% 177.57/177.62 cnf(717,plain,
% 177.57/177.62 (E(f24(a2,x7171),f24(a22,x7171))),
% 177.57/177.62 inference(rename_variables,[],[296])).
% 177.57/177.62 cnf(719,plain,
% 177.57/177.62 (~P16(f26(a12))),
% 177.57/177.62 inference(scs_inference,[],[110,86,105,703,107,75,80,113,680,538,673,659,296,610,577,440,295,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177])).
% 177.57/177.62 cnf(721,plain,
% 177.57/177.62 (P14(f23(f29(x7211)),f29(x7211))),
% 177.57/177.62 inference(scs_inference,[],[110,115,86,106,105,703,107,75,80,113,680,538,673,659,296,610,577,440,295,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167])).
% 177.57/177.62 cnf(722,plain,
% 177.57/177.62 (P7(f23(x7221),x7221)),
% 177.57/177.62 inference(rename_variables,[],[106])).
% 177.57/177.62 cnf(724,plain,
% 177.57/177.62 (E(f24(a22,x7241),f24(a2,x7241))),
% 177.57/177.62 inference(scs_inference,[],[110,115,86,106,105,703,107,75,80,113,680,538,673,659,296,717,610,577,440,295,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2])).
% 177.57/177.62 cnf(725,plain,
% 177.57/177.62 (P14(f10(a2),f29(a22))),
% 177.57/177.62 inference(scs_inference,[],[110,115,86,106,105,703,107,75,80,113,680,538,673,659,296,717,610,577,440,295,297,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71])).
% 177.57/177.62 cnf(727,plain,
% 177.57/177.62 (~E(f30(a12),f10(x7271))),
% 177.57/177.62 inference(scs_inference,[],[110,115,86,106,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,295,297,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58])).
% 177.57/177.62 cnf(728,plain,
% 177.57/177.62 (~E(f26(f27(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,86,106,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,295,297,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50])).
% 177.57/177.62 cnf(729,plain,
% 177.57/177.62 (~P9(a22,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,86,106,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,295,297,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48])).
% 177.57/177.62 cnf(730,plain,
% 177.57/177.62 (~E(f23(f29(a22)),f29(a2))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,86,106,722,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,295,297,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55])).
% 177.57/177.62 cnf(732,plain,
% 177.57/177.62 (~E(f29(f29(a2)),f29(a9))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,86,106,722,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56])).
% 177.57/177.62 cnf(734,plain,
% 177.57/177.62 (~E(f30(f27(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,86,106,722,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47])).
% 177.57/177.62 cnf(735,plain,
% 177.57/177.62 (~E(a12,x7351)+P27(x7351)),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,75,80,113,680,538,484,673,659,642,296,717,610,577,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54])).
% 177.57/177.62 cnf(736,plain,
% 177.57/177.62 (P11(f24(x7361,f28(x7362,x7363,a2)),x7361,f28(x7362,x7363,a22))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,75,80,113,424,680,538,484,673,659,642,296,717,610,577,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207])).
% 177.57/177.62 cnf(738,plain,
% 177.57/177.62 (P8(f4(x7381,f28(x7382,x7383,a2)),x7381,f28(x7382,x7383,a22))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,75,80,113,417,424,680,538,484,673,659,642,296,717,610,577,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206])).
% 177.57/177.62 cnf(740,plain,
% 177.57/177.62 (P4(a1)),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,75,80,113,417,424,680,538,484,673,659,642,296,717,610,577,255,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121])).
% 177.57/177.62 cnf(742,plain,
% 177.57/177.62 (P17(f10(x7421))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,104,75,80,113,417,424,680,538,484,673,659,642,296,717,610,577,255,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118])).
% 177.57/177.62 cnf(746,plain,
% 177.57/177.62 (P17(f31(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,104,75,80,113,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127])).
% 177.57/177.62 cnf(748,plain,
% 177.57/177.62 (P17(f33(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,116,115,92,86,106,722,105,703,107,104,75,80,113,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126])).
% 177.57/177.62 cnf(750,plain,
% 177.57/177.62 (P15(f27(a18))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125])).
% 177.57/177.62 cnf(752,plain,
% 177.57/177.62 (P7(f24(x7521,x7522),f29(f32(x7521,x7522)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208])).
% 177.57/177.62 cnf(754,plain,
% 177.57/177.62 (P7(f7(f29(x7541)),f29(f29(x7541)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157])).
% 177.57/177.62 cnf(756,plain,
% 177.57/177.62 (P20(f31(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195])).
% 177.57/177.62 cnf(758,plain,
% 177.57/177.62 (E(f28(f30(a18),f31(a18),f33(a18)),f27(a18))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191])).
% 177.57/177.62 cnf(760,plain,
% 177.57/177.62 (~P16(f7(f29(x7601)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128])).
% 177.57/177.62 cnf(762,plain,
% 177.57/177.62 (P2(f27(a18))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124])).
% 177.57/177.62 cnf(768,plain,
% 177.57/177.62 (E(f27(f24(a2,x7681)),f27(f24(a22,x7681)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15])).
% 177.57/177.62 cnf(771,plain,
% 177.57/177.62 (E(f4(x7711,f24(a2,x7712)),f4(x7711,f24(a22,x7712)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12])).
% 177.57/177.62 cnf(773,plain,
% 177.57/177.62 (E(f32(x7731,f24(a2,x7732)),f32(x7731,f24(a22,x7732)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7])).
% 177.57/177.62 cnf(774,plain,
% 177.57/177.62 (E(f32(f24(a2,x7741),x7742),f32(f24(a22,x7741),x7742))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6])).
% 177.57/177.62 cnf(775,plain,
% 177.57/177.62 (P11(f31(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6,197])).
% 177.57/177.62 cnf(777,plain,
% 177.57/177.62 (P11(f33(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6,197,196])).
% 177.57/177.62 cnf(779,plain,
% 177.57/177.62 (P20(f33(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6,197,196,194])).
% 177.57/177.62 cnf(781,plain,
% 177.57/177.62 (~P14(f29(x7811),f23(f29(x7811)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6,197,196,194,169])).
% 177.57/177.62 cnf(783,plain,
% 177.57/177.62 (P7(f5(a12),f29(f30(a12)))),
% 177.57/177.62 inference(scs_inference,[],[110,77,116,115,92,86,106,722,105,703,107,104,75,80,113,249,302,417,424,506,680,538,484,673,659,642,296,717,610,577,255,261,440,434,295,297,267,314,364,277,328,74,76,174,8,188,186,63,180,181,176,175,64,168,3,177,167,2,71,58,50,48,55,56,47,54,207,206,121,118,193,127,126,125,208,157,195,191,128,124,25,24,21,20,15,14,13,12,9,7,6,197,196,194,169,190])).
% 177.57/177.62 cnf(796,plain,
% 177.57/177.62 (P16(f10(x7961))),
% 177.57/177.62 inference(rename_variables,[],[104])).
% 177.57/177.62 cnf(800,plain,
% 177.57/177.62 (E(f29(f24(a22,x8001)),f29(f24(a2,x8001)))),
% 177.57/177.62 inference(scs_inference,[],[217,104,742,724,734,136,13,8])).
% 177.57/177.62 cnf(803,plain,
% 177.57/177.62 (P6(f4(x8031,f24(a22,x8032)),f4(x8031,f24(a2,x8032)))),
% 177.57/177.62 inference(scs_inference,[],[217,105,104,742,771,724,734,725,136,13,8,169,63])).
% 177.57/177.62 cnf(805,plain,
% 177.57/177.62 (~P6(f29(x8051),a9)),
% 177.57/177.62 inference(scs_inference,[],[217,105,104,742,771,724,700,734,725,136,13,8,169,63,168])).
% 177.57/177.62 cnf(807,plain,
% 177.57/177.62 (~P9(f10(x8071),a1)),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,104,796,742,771,724,700,734,725,74,76,136,13,8,169,63,168,176])).
% 177.57/177.62 cnf(809,plain,
% 177.57/177.62 (P6(f24(a22,a2),f24(a22,a22))),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,104,796,742,771,702,724,700,734,716,725,74,76,136,13,8,169,63,168,176,64])).
% 177.57/177.62 cnf(811,plain,
% 177.57/177.62 (~P12(f10(x8111),a1)),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,104,796,742,771,702,724,700,734,716,725,74,76,136,13,8,169,63,168,176,64,175])).
% 177.57/177.62 cnf(813,plain,
% 177.57/177.62 (P14(f24(x8131,x8132),f29(f32(x8131,x8132)))),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,115,104,796,752,742,771,702,724,700,734,716,725,74,76,136,13,8,169,63,168,176,64,175,167])).
% 177.57/177.62 cnf(818,plain,
% 177.57/177.62 (E(f4(a2,f24(a2,x8181)),f4(a22,f24(a22,x8181)))),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,115,104,796,752,742,771,702,724,700,734,716,725,294,74,76,136,13,8,169,63,168,176,64,175,167,177,3])).
% 177.57/177.62 cnf(822,plain,
% 177.57/177.62 (~P10(a22,a12)),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58])).
% 177.57/177.62 cnf(823,plain,
% 177.57/177.62 (~P12(a22,a12)),
% 177.57/177.62 inference(scs_inference,[],[110,217,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,568,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58,50])).
% 177.57/177.62 cnf(824,plain,
% 177.57/177.62 (P7(f23(f24(a22,x8241)),f24(a2,x8241))),
% 177.57/177.62 inference(scs_inference,[],[110,217,106,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,568,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58,50,56])).
% 177.57/177.62 cnf(827,plain,
% 177.57/177.62 (~E(a12,x8271)+P26(x8271)),
% 177.57/177.62 inference(scs_inference,[],[110,217,91,106,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,729,568,265,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58,50,56,47,53])).
% 177.57/177.62 cnf(828,plain,
% 177.57/177.62 (P5(a13)),
% 177.57/177.62 inference(scs_inference,[],[110,217,91,78,106,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,729,568,265,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58,50,56,47,53,122])).
% 177.57/177.62 cnf(830,plain,
% 177.57/177.62 (P3(a13)),
% 177.57/177.62 inference(scs_inference,[],[110,217,91,78,106,105,115,104,796,752,742,771,702,724,700,727,734,566,716,725,729,568,265,294,390,74,76,136,13,8,169,63,168,176,64,175,167,177,3,2,58,50,56,47,53,122,119])).
% 177.57/177.62 cnf(850,plain,
% 177.57/177.62 (E(f28(x8501,x8502,f32(x8503,a2)),f28(x8501,x8502,f32(x8503,a22)))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19])).
% 177.57/177.62 cnf(851,plain,
% 177.57/177.62 (E(f28(x8511,f32(x8512,a2),x8513),f28(x8511,f32(x8512,a22),x8513))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18])).
% 177.57/177.62 cnf(852,plain,
% 177.57/177.62 (E(f28(f32(x8521,a2),x8522,x8523),f28(f32(x8521,a22),x8522,x8523))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18,17])).
% 177.57/177.62 cnf(854,plain,
% 177.57/177.62 (E(f4(f32(x8541,a2),x8542),f4(f32(x8541,a22),x8542))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18,17,16,11])).
% 177.57/177.62 cnf(855,plain,
% 177.57/177.62 (E(f24(x8551,f32(x8552,a2)),f24(x8551,f32(x8552,a22)))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18,17,16,11,10])).
% 177.57/177.62 cnf(856,plain,
% 177.57/177.62 (E(f23(f32(x8561,a2)),f23(f32(x8561,a22)))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18,17,16,11,10,5])).
% 177.57/177.62 cnf(857,plain,
% 177.57/177.62 (E(f10(f32(x8571,a2)),f10(f32(x8571,a22)))),
% 177.57/177.62 inference(scs_inference,[],[298,26,23,22,19,18,17,16,11,10,5,4])).
% 177.57/177.62 cnf(858,plain,
% 177.57/177.62 (~P16(f32(f32(a11,a11),f32(a11,a11)))),
% 177.57/177.62 inference(scs_inference,[],[322,298,26,23,22,19,18,17,16,11,10,5,4,183])).
% 177.57/177.62 cnf(862,plain,
% 177.57/177.62 (~P9(a22,a12)),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,732,322,822,298,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180])).
% 177.57/177.62 cnf(864,plain,
% 177.57/177.62 (~P14(f29(f32(x8641,x8642)),f24(x8641,x8642))),
% 177.57/177.62 inference(scs_inference,[],[75,80,113,813,732,322,822,298,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169])).
% 177.57/177.62 cnf(866,plain,
% 177.57/177.62 (~E(f23(f29(a9)),f29(x8661))),
% 177.57/177.62 inference(scs_inference,[],[220,75,80,113,813,732,322,805,822,298,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63])).
% 177.57/177.62 cnf(870,plain,
% 177.57/177.62 (P14(f23(f32(a11,a11)),f32(a11,a11))),
% 177.57/177.63 inference(scs_inference,[],[220,106,75,80,113,813,712,732,322,805,822,298,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167])).
% 177.57/177.63 cnf(873,plain,
% 177.57/177.63 (~P16(f26(a1))),
% 177.57/177.63 inference(scs_inference,[],[220,106,75,80,113,813,712,732,322,805,822,298,338,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177])).
% 177.57/177.63 cnf(877,plain,
% 177.57/177.63 (~P16(f5(a1))),
% 177.57/177.63 inference(scs_inference,[],[220,106,75,80,113,813,712,562,732,322,805,822,298,344,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175])).
% 177.57/177.63 cnf(884,plain,
% 177.57/177.63 (E(f29(f24(a2,x8841)),f29(f24(a22,x8841)))),
% 177.57/177.63 inference(scs_inference,[],[220,216,106,105,75,80,113,813,800,712,562,732,322,805,636,822,298,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2])).
% 177.57/177.63 cnf(886,plain,
% 177.57/177.63 (~E(f5(a1),a9)),
% 177.57/177.63 inference(scs_inference,[],[220,216,106,105,75,80,113,813,597,800,594,712,562,732,322,805,636,822,298,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50])).
% 177.57/177.63 cnf(887,plain,
% 177.57/177.63 (P7(f10(f24(a22,x8871)),f29(f24(a2,x8871)))),
% 177.57/177.63 inference(scs_inference,[],[220,216,106,105,107,75,80,113,813,597,800,594,712,562,732,322,805,636,822,298,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56])).
% 177.57/177.63 cnf(890,plain,
% 177.57/177.63 (~E(a12,x8901)+P24(x8901)),
% 177.57/177.63 inference(scs_inference,[],[220,216,90,106,105,107,75,80,113,813,597,800,594,712,562,732,322,805,807,636,822,298,498,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56,47,52])).
% 177.57/177.63 cnf(891,plain,
% 177.57/177.63 (P7(f17(a1),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[220,216,90,106,105,107,75,80,113,813,597,800,594,712,562,732,322,805,807,636,822,298,498,740,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56,47,52,178])).
% 177.57/177.63 cnf(893,plain,
% 177.57/177.63 (~P16(f30(a1))),
% 177.57/177.63 inference(scs_inference,[],[220,216,90,106,105,107,75,80,113,813,597,800,594,712,562,732,322,805,807,636,822,298,498,740,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56,47,52,178,138])).
% 177.57/177.63 cnf(895,plain,
% 177.57/177.63 (P6(f7(f29(x8951)),f29(x8951))),
% 177.57/177.63 inference(scs_inference,[],[220,216,90,106,105,107,75,80,113,754,813,597,800,594,712,562,732,322,805,807,636,822,298,498,740,344,265,338,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56,47,52,178,138,174])).
% 177.57/177.63 cnf(897,plain,
% 177.57/177.63 (~P10(a22,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[220,216,90,106,105,107,75,80,113,754,813,597,800,594,712,562,732,322,805,807,636,822,298,498,740,344,610,265,338,314,364,277,328,74,76,110,26,23,22,19,18,17,16,11,10,5,4,183,13,8,180,169,63,168,167,177,176,175,64,71,3,2,58,50,56,47,52,178,138,174,59])).
% 177.57/177.63 cnf(910,plain,
% 177.57/177.63 (~P25(f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,113,137])).
% 177.57/177.63 cnf(912,plain,
% 177.57/177.63 (E(f28(f30(a12),f33(a12),f31(a12)),a12)),
% 177.57/177.63 inference(scs_inference,[],[83,80,113,137,192])).
% 177.57/177.63 cnf(914,plain,
% 177.57/177.63 (~P16(f17(a1))),
% 177.57/177.63 inference(scs_inference,[],[83,80,113,740,110,137,192,139])).
% 177.57/177.63 cnf(916,plain,
% 177.57/177.63 (~P25(f28(f30(a15),f33(a15),f31(a15)))),
% 177.57/177.63 inference(scs_inference,[],[83,112,80,113,468,740,110,137,192,139,41])).
% 177.57/177.63 cnf(917,plain,
% 177.57/177.63 (E(f10(x9171),a22)),
% 177.57/177.63 inference(scs_inference,[],[83,112,104,80,113,468,740,110,137,192,139,41,117])).
% 177.57/177.63 cnf(920,plain,
% 177.57/177.63 (~P14(f32(a11,a11),f23(f32(a11,a11)))),
% 177.57/177.63 inference(scs_inference,[],[83,86,114,112,104,80,113,870,468,740,110,137,192,139,41,117,42,169])).
% 177.57/177.63 cnf(922,plain,
% 177.57/177.63 (E(f29(f32(a2,x9221)),f29(f32(a22,x9221)))),
% 177.57/177.63 inference(scs_inference,[],[83,86,114,112,104,80,113,870,299,468,740,110,137,192,139,41,117,42,169,8])).
% 177.57/177.63 cnf(923,plain,
% 177.57/177.63 (~P6(f29(x9231),a2)),
% 177.57/177.63 inference(scs_inference,[],[83,86,114,112,104,80,113,870,299,468,607,740,110,137,192,139,41,117,42,169,8,168])).
% 177.57/177.63 cnf(925,plain,
% 177.57/177.63 (P6(f28(x9251,x9252,f32(x9253,a22)),f28(x9251,x9252,f32(x9253,a2)))),
% 177.57/177.63 inference(scs_inference,[],[83,86,114,112,105,104,80,113,870,850,299,468,607,740,110,137,192,139,41,117,42,169,8,168,63])).
% 177.57/177.63 cnf(927,plain,
% 177.57/177.63 (P6(f23(f29(a2)),a22)),
% 177.57/177.63 inference(scs_inference,[],[83,220,86,114,112,105,104,80,113,870,850,299,468,607,265,740,110,137,192,139,41,117,42,169,8,168,63,64])).
% 177.57/177.63 cnf(929,plain,
% 177.57/177.63 (~P9(a22,f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[83,220,86,114,112,105,104,80,113,870,850,862,299,468,607,265,740,110,137,192,139,41,117,42,169,8,168,63,64,48])).
% 177.57/177.63 cnf(933,plain,
% 177.57/177.63 (~E(f29(a2),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[83,220,86,114,112,105,104,80,113,870,730,850,644,862,299,468,560,607,610,265,740,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2])).
% 177.57/177.63 cnf(934,plain,
% 177.57/177.63 (E(f28(x9341,f32(x9342,a2),f32(x9343,a2)),f28(x9341,f32(x9342,a22),f32(x9343,a22)))),
% 177.57/177.63 inference(scs_inference,[],[83,220,86,114,112,105,104,80,113,870,730,850,851,644,862,299,468,560,607,610,265,740,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3])).
% 177.57/177.63 cnf(940,plain,
% 177.57/177.63 (~E(a12,x9401)+P30(x9401)),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,105,104,80,113,870,730,850,851,644,862,299,468,560,442,607,700,610,265,740,267,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49])).
% 177.57/177.63 cnf(941,plain,
% 177.57/177.63 (~P14(f29(a2),f7(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,105,104,80,113,870,730,850,851,644,862,299,468,754,560,442,607,700,610,265,740,267,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49,625])).
% 177.57/177.63 cnf(945,plain,
% 177.57/177.63 (~P10(a2,f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,105,104,80,113,870,730,850,851,644,454,862,299,468,754,560,566,442,607,700,610,265,740,267,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49,625,51,59])).
% 177.57/177.63 cnf(946,plain,
% 177.57/177.63 (P10(f25(f27(a1)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,105,104,80,113,870,730,850,851,644,454,862,299,468,754,560,566,442,562,607,700,610,265,740,267,364,277,328,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49,625,51,59,180])).
% 177.57/177.63 cnf(948,plain,
% 177.57/177.63 (P14(f26(a1),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,115,105,104,80,113,870,570,730,850,851,644,454,862,299,468,754,560,566,442,562,607,700,610,265,740,267,364,277,328,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49,625,51,59,180,167])).
% 177.57/177.63 cnf(951,plain,
% 177.57/177.63 (~P12(a9,a12)),
% 177.57/177.63 inference(scs_inference,[],[83,95,220,86,114,112,115,105,104,80,113,870,570,730,850,851,644,454,823,862,299,468,754,560,566,442,562,607,700,610,265,591,740,267,364,277,328,110,137,192,139,41,117,42,169,8,168,63,64,48,71,58,2,3,56,47,49,625,51,59,180,167,50])).
% 177.57/177.63 cnf(968,plain,
% 177.57/177.63 (P11(f4(x9681,f10(x9682)),x9681,a22)),
% 177.57/177.63 inference(scs_inference,[],[109,917,34])).
% 177.57/177.63 cnf(969,plain,
% 177.57/177.63 (P11(f4(x9691,x9692),x9691,x9692)),
% 177.57/177.63 inference(rename_variables,[],[109])).
% 177.57/177.63 cnf(970,plain,
% 177.57/177.63 (P11(f4(f10(x9701),x9702),a22,x9702)),
% 177.57/177.63 inference(scs_inference,[],[109,969,917,34,33])).
% 177.57/177.63 cnf(971,plain,
% 177.57/177.63 (P11(f4(x9711,x9712),x9711,x9712)),
% 177.57/177.63 inference(rename_variables,[],[109])).
% 177.57/177.63 cnf(973,plain,
% 177.57/177.63 (~P14(f29(f32(x9731,x9732)),f24(x9731,x9732))),
% 177.57/177.63 inference(rename_variables,[],[864])).
% 177.57/177.63 cnf(974,plain,
% 177.57/177.63 (P8(f24(x9741,f10(x9742)),x9741,a22)),
% 177.57/177.63 inference(scs_inference,[],[108,109,969,864,922,917,34,33,70,30])).
% 177.57/177.63 cnf(975,plain,
% 177.57/177.63 (P8(f24(x9751,x9752),x9751,x9752)),
% 177.57/177.63 inference(rename_variables,[],[108])).
% 177.57/177.63 cnf(976,plain,
% 177.57/177.63 (~P25(f27(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[108,109,969,864,922,917,277,328,34,33,70,30,137])).
% 177.57/177.63 cnf(978,plain,
% 177.57/177.63 (P11(f4(f32(x9781,a22),x9782),f32(x9781,a2),x9782)),
% 177.57/177.63 inference(scs_inference,[],[108,109,969,971,864,922,917,854,277,328,34,33,70,30,137,32])).
% 177.57/177.63 cnf(979,plain,
% 177.57/177.63 (E(f4(f32(x9791,a2),x9792),f4(f32(x9791,a22),x9792))),
% 177.57/177.63 inference(rename_variables,[],[854])).
% 177.57/177.63 cnf(981,plain,
% 177.57/177.63 (P8(f24(f10(x9811),x9812),a22,x9812)),
% 177.57/177.63 inference(scs_inference,[],[108,975,109,969,971,864,922,917,854,277,328,34,33,70,30,137,32,29])).
% 177.57/177.63 cnf(983,plain,
% 177.57/177.63 (P8(f4(f32(x9831,a22),f28(x9832,x9833,a2)),f32(x9831,a2),f28(x9832,x9833,a22))),
% 177.57/177.63 inference(scs_inference,[],[108,975,109,969,971,864,738,922,917,854,979,277,328,34,33,70,30,137,32,29,28])).
% 177.57/177.63 cnf(986,plain,
% 177.57/177.63 (~P25(f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[108,975,109,969,971,113,864,738,922,917,912,854,979,277,328,34,33,70,30,137,32,29,28,41])).
% 177.57/177.63 cnf(987,plain,
% 177.57/177.63 (~P10(a9,f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,80,113,864,738,922,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187])).
% 177.57/177.63 cnf(990,plain,
% 177.57/177.63 (~P14(f29(f30(a1)),f26(a1))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,80,113,864,738,922,948,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187,42,169])).
% 177.57/177.63 cnf(992,plain,
% 177.57/177.63 (P7(f24(a22,a2),f29(f24(a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,80,113,864,738,922,948,809,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168])).
% 177.57/177.63 cnf(994,plain,
% 177.57/177.63 (P6(f28(x9941,f32(x9942,a22),f32(x9943,a22)),f28(x9941,f32(x9942,a2),f32(x9943,a2)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,738,934,922,948,809,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63])).
% 177.57/177.63 cnf(996,plain,
% 177.57/177.63 (~P7(f29(a2),f7(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,760,738,934,922,941,948,809,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167])).
% 177.57/177.63 cnf(999,plain,
% 177.57/177.63 (P6(f28(x9991,f32(x9992,a2),f32(x9993,a22)),f28(x9991,f32(x9992,a22),f32(x9993,a22)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,760,925,738,934,922,941,948,809,917,912,951,854,979,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64])).
% 177.57/177.63 cnf(1001,plain,
% 177.57/177.63 (~P14(f29(f32(a22,a22)),f24(a2,a2))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,973,760,925,738,934,922,941,948,809,917,897,912,951,854,979,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71])).
% 177.57/177.63 cnf(1003,plain,
% 177.57/177.63 (E(f28(x10031,f32(x10032,a22),f32(x10033,a22)),f28(x10031,f32(x10032,a2),f32(x10033,a2)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,973,760,925,738,934,922,941,948,809,917,897,912,951,854,979,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2])).
% 177.57/177.63 cnf(1004,plain,
% 177.57/177.63 (E(f28(f32(x10041,a2),f32(x10042,a2),f32(x10043,a2)),f28(f32(x10041,a22),f32(x10042,a22),f32(x10043,a22)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,973,760,925,738,934,922,941,948,809,917,897,912,951,852,854,979,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2,3])).
% 177.57/177.63 cnf(1007,plain,
% 177.57/177.63 (~E(f5(a12),a9)),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,105,80,113,864,973,760,925,738,934,922,941,948,809,917,897,912,951,852,854,979,474,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2,3,50])).
% 177.57/177.63 cnf(1008,plain,
% 177.57/177.63 (P7(f23(f10(x10081)),a22)),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,85,114,106,105,80,113,864,973,760,925,738,934,922,941,948,809,917,897,912,951,852,854,979,474,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2,3,50,56])).
% 177.57/177.63 cnf(1016,plain,
% 177.57/177.63 (P17(f31(a13))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,103,85,114,106,105,80,113,864,973,760,925,738,934,922,464,941,948,809,917,929,897,912,830,951,852,854,979,474,752,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2,3,50,56,47,46,118,193,127])).
% 177.57/177.63 cnf(1020,plain,
% 177.57/177.63 (P7(f7(f17(a16)),f29(f17(a16)))),
% 177.57/177.63 inference(scs_inference,[],[75,108,975,109,969,971,103,85,114,106,105,80,113,864,973,760,925,738,934,922,464,941,948,421,324,809,917,929,897,912,830,951,852,854,979,474,752,716,277,328,34,33,70,30,137,32,29,28,41,187,42,169,168,63,167,64,58,71,2,3,50,56,47,46,118,193,127,208,157])).
% 177.57/177.63 cnf(1040,plain,
% 177.57/177.63 (P11(f24(f28(x10401,x10402,a2),x10403),f28(x10401,x10402,a22),x10403)),
% 177.57/177.63 inference(scs_inference,[],[426,207])).
% 177.57/177.63 cnf(1044,plain,
% 177.57/177.63 (P4(a13)),
% 177.57/177.63 inference(scs_inference,[],[419,426,828,207,206,121])).
% 177.57/177.63 cnf(1048,plain,
% 177.57/177.63 (P17(f33(a13))),
% 177.57/177.63 inference(scs_inference,[],[419,426,326,828,207,206,121,128,126])).
% 177.57/177.63 cnf(1050,plain,
% 177.57/177.63 (P15(f27(a15))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,326,828,207,206,121,128,126,125])).
% 177.57/177.63 cnf(1052,plain,
% 177.57/177.63 (P2(f27(a15))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,326,828,207,206,121,128,126,125,124])).
% 177.57/177.63 cnf(1054,plain,
% 177.57/177.63 (P11(f33(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,326,828,207,206,121,128,126,125,124,196])).
% 177.57/177.63 cnf(1056,plain,
% 177.57/177.63 (P20(f31(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,326,828,830,207,206,121,128,126,125,124,196,195])).
% 177.57/177.63 cnf(1058,plain,
% 177.57/177.63 (P20(f33(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,326,828,830,207,206,121,128,126,125,124,196,195,194])).
% 177.57/177.63 cnf(1060,plain,
% 177.57/177.63 (P11(f4(f10(x10601),x10602),a2,x10602)),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,970,326,828,830,390,207,206,121,128,126,125,124,196,195,194,33])).
% 177.57/177.63 cnf(1061,plain,
% 177.57/177.63 (P14(f10(f32(x10611,a22)),f29(f32(x10611,a2)))),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,970,326,828,857,830,577,390,207,206,121,128,126,125,124,196,195,194,33,70])).
% 177.57/177.63 cnf(1063,plain,
% 177.57/177.63 (P11(f4(x10631,f10(x10632)),x10631,a2)),
% 177.57/177.63 inference(scs_inference,[],[79,419,426,968,970,326,828,857,830,577,390,207,206,121,128,126,125,124,196,195,194,33,70,34])).
% 177.57/177.63 cnf(1065,plain,
% 177.57/177.63 (P11(f4(a22,f24(a22,x10651)),a2,f24(a2,x10651))),
% 177.57/177.63 inference(scs_inference,[],[79,109,419,426,968,970,974,326,828,857,818,830,577,390,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32])).
% 177.57/177.63 cnf(1067,plain,
% 177.57/177.63 (P8(f24(x10671,f32(x10672,a22)),x10671,f32(x10672,a2))),
% 177.57/177.63 inference(scs_inference,[],[79,108,109,419,426,968,970,974,981,326,828,855,857,818,830,577,390,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28])).
% 177.57/177.63 cnf(1069,plain,
% 177.57/177.63 (P13(f25(f27(a1)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[79,108,109,419,426,968,970,974,981,946,326,828,855,857,818,830,577,390,364,277,328,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182])).
% 177.57/177.63 cnf(1071,plain,
% 177.57/177.63 (~P10(f10(x10711),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[79,108,109,419,426,968,970,974,981,946,326,811,828,855,857,818,830,577,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187])).
% 177.57/177.63 cnf(1073,plain,
% 177.57/177.63 (P14(f23(f30(a16)),f30(a16))),
% 177.57/177.63 inference(scs_inference,[],[79,108,109,106,419,426,968,970,974,981,946,326,811,828,855,857,818,830,577,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167])).
% 177.57/177.63 cnf(1077,plain,
% 177.57/177.63 (~P6(f29(x10771),a22)),
% 177.57/177.63 inference(scs_inference,[],[79,220,108,109,106,419,426,968,970,974,981,946,326,811,828,855,923,857,818,830,577,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64])).
% 177.57/177.63 cnf(1078,plain,
% 177.57/177.63 (~P10(a22,f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[79,220,108,109,106,419,426,968,970,974,981,946,326,811,945,828,855,923,857,818,830,577,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58])).
% 177.57/177.63 cnf(1082,plain,
% 177.57/177.63 (~E(f26(f27(a1)),a9)),
% 177.57/177.63 inference(scs_inference,[],[79,220,216,108,109,106,419,426,968,970,974,981,933,946,326,811,945,828,855,923,857,818,594,830,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50])).
% 177.57/177.63 cnf(1086,plain,
% 177.57/177.63 (~E(a13,x10861)+P15(x10861)),
% 177.57/177.63 inference(scs_inference,[],[81,79,220,216,108,109,106,107,419,426,679,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39])).
% 177.57/177.63 cnf(1087,plain,
% 177.57/177.63 (E(f28(f30(a15),f31(a15),f33(a15)),f27(a15))),
% 177.57/177.63 inference(scs_inference,[],[81,79,220,216,108,109,106,107,419,426,679,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191])).
% 177.57/177.63 cnf(1089,plain,
% 177.57/177.63 (P7(f10(f32(x10891,a22)),f29(f32(x10891,a2)))),
% 177.57/177.63 inference(scs_inference,[],[81,79,220,216,108,109,106,107,419,426,679,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191,160])).
% 177.57/177.63 cnf(1091,plain,
% 177.57/177.63 (~P7(f29(x10911),f29(a22))),
% 177.57/177.63 inference(scs_inference,[],[81,79,220,216,108,109,106,107,419,426,679,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191,160,174])).
% 177.57/177.63 cnf(1093,plain,
% 177.57/177.63 (P7(f6(a12),f29(f30(a12)))),
% 177.57/177.63 inference(scs_inference,[],[75,81,79,220,216,108,109,106,107,80,113,419,426,679,472,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191,160,174,190])).
% 177.57/177.63 cnf(1095,plain,
% 177.57/177.63 (~P14(f30(a16),f23(f30(a16)))),
% 177.57/177.63 inference(scs_inference,[],[75,81,79,220,216,108,109,106,107,80,113,419,426,679,472,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,594,830,340,297,577,659,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191,160,174,190,169])).
% 177.57/177.63 cnf(1097,plain,
% 177.57/177.63 (P7(f26(a22),f29(f26(a2)))),
% 177.57/177.63 inference(scs_inference,[],[75,81,79,220,216,108,109,106,107,80,113,419,426,679,472,968,970,974,981,933,946,326,811,945,828,855,884,923,599,857,818,279,594,830,340,297,577,659,267,390,364,277,328,74,76,110,207,206,121,128,126,125,124,196,195,194,33,70,34,30,32,29,28,182,187,167,63,64,58,71,3,50,2,56,47,39,191,160,174,190,169,55])).
% 177.57/177.63 cnf(1107,plain,
% 177.57/177.63 (P11(f31(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.57/177.63 inference(scs_inference,[],[830,197])).
% 177.57/177.63 cnf(1111,plain,
% 177.57/177.63 (E(f4(x11111,f6(a2)),f4(x11111,f6(a22)))),
% 177.57/177.63 inference(scs_inference,[],[280,830,197,15,14,12])).
% 177.57/177.63 cnf(1112,plain,
% 177.57/177.63 (E(f32(f6(a2),x11121),f32(f6(a22),x11121))),
% 177.57/177.63 inference(scs_inference,[],[280,830,197,15,14,12,6])).
% 177.57/177.63 cnf(1121,plain,
% 177.57/177.63 (~P7(a11,f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[223,86,1091,280,830,197,15,14,12,6,25,24,21,20,9,7,160,186])).
% 177.57/177.63 cnf(1125,plain,
% 177.57/177.63 (~P9(f10(x11251),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[223,86,330,1071,1091,280,830,364,277,328,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180])).
% 177.57/177.63 cnf(1127,plain,
% 177.57/177.63 (P14(a22,f29(f32(x11271,a2)))),
% 177.57/177.63 inference(scs_inference,[],[223,86,330,1061,1071,1091,280,830,917,364,277,328,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70])).
% 177.57/177.63 cnf(1129,plain,
% 177.57/177.63 (~P10(a2,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[223,86,330,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187])).
% 177.57/177.63 cnf(1131,plain,
% 177.57/177.63 (E(f29(f6(a2)),f29(f6(a22)))),
% 177.57/177.63 inference(scs_inference,[],[223,86,330,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8])).
% 177.57/177.63 cnf(1132,plain,
% 177.57/177.63 (~P6(a11,a9)),
% 177.57/177.63 inference(scs_inference,[],[223,86,330,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168])).
% 177.57/177.63 cnf(1134,plain,
% 177.57/177.63 (~E(f23(f29(a22)),f29(x11341))),
% 177.57/177.63 inference(scs_inference,[],[223,86,106,330,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55])).
% 177.57/177.63 cnf(1136,plain,
% 177.57/177.63 (P14(f17(a16),f29(f30(a16)))),
% 177.57/177.63 inference(scs_inference,[],[223,86,115,106,330,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167])).
% 177.57/177.63 cnf(1139,plain,
% 177.57/177.63 (P6(f28(f32(x11391,a22),f32(x11392,a22),f32(x11393,a22)),f28(f32(x11391,a2),f32(x11392,a2),f32(x11393,a2)))),
% 177.57/177.63 inference(scs_inference,[],[223,86,115,105,106,330,1004,1061,1071,1091,280,319,830,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63])).
% 177.57/177.63 cnf(1140,plain,
% 177.57/177.63 (P6(f23(f29(a9)),a22)),
% 177.57/177.63 inference(scs_inference,[],[223,220,86,115,105,106,330,1004,1061,1071,1091,280,319,830,591,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64])).
% 177.57/177.63 cnf(1149,plain,
% 177.57/177.63 (~E(f29(f29(a2)),f7(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[226,223,220,86,115,105,106,330,1004,1061,1071,1091,996,773,774,280,319,946,830,591,267,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64,58,71,3,2,56])).
% 177.57/177.63 cnf(1150,plain,
% 177.57/177.63 (P7(x11501,f29(x11501))),
% 177.57/177.63 inference(rename_variables,[],[267])).
% 177.57/177.63 cnf(1152,plain,
% 177.57/177.63 (~E(a12,x11521)+P28(x11521)),
% 177.57/177.63 inference(scs_inference,[],[226,93,223,220,86,115,105,106,330,1004,1061,1071,1091,996,452,773,774,280,319,946,530,830,591,267,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64,58,71,3,2,56,47,38])).
% 177.57/177.63 cnf(1153,plain,
% 177.57/177.63 (P3(a18)),
% 177.57/177.63 inference(scs_inference,[],[77,226,93,223,220,86,115,105,106,330,1004,1061,1071,1091,996,452,773,774,280,319,946,530,830,591,267,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64,58,71,3,2,56,47,38,119])).
% 177.57/177.63 cnf(1158,plain,
% 177.57/177.63 (~P14(f29(f30(a16)),f17(a16))),
% 177.57/177.63 inference(scs_inference,[],[77,226,93,223,220,86,115,105,106,330,1004,1061,1071,1091,996,452,773,774,280,319,946,530,830,591,267,1150,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64,58,71,3,2,56,47,38,119,188,169])).
% 177.57/177.63 cnf(1162,plain,
% 177.57/177.63 (P4(a18)),
% 177.57/177.63 inference(scs_inference,[],[77,226,93,223,220,86,115,105,106,330,1004,1061,1071,1091,996,452,773,774,280,319,946,530,830,591,659,267,1150,917,364,277,328,74,76,110,197,15,14,12,6,25,24,21,20,9,7,160,186,174,180,70,187,8,168,55,167,63,64,58,71,3,2,56,47,38,119,188,169,50,212,120])).
% 177.57/177.63 cnf(1169,plain,
% 177.57/177.63 (P5(a18)),
% 177.57/177.63 inference(scs_inference,[],[77,122])).
% 177.57/177.63 cnf(1171,plain,
% 177.57/177.63 (~P9(a2,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[77,1129,364,277,328,122,180])).
% 177.57/177.63 cnf(1173,plain,
% 177.57/177.63 (~P10(a2,f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[77,80,113,1129,568,364,277,328,75,122,180,187])).
% 177.57/177.63 cnf(1177,plain,
% 177.57/177.63 (P7(f23(f29(a2)),f29(a22))),
% 177.57/177.63 inference(scs_inference,[],[77,80,113,1001,927,1129,568,922,364,277,328,75,122,180,187,70,168])).
% 177.57/177.63 cnf(1179,plain,
% 177.57/177.63 (~P7(f29(f30(a1)),f26(a1))),
% 177.57/177.63 inference(scs_inference,[],[77,80,113,990,1001,927,873,1129,568,922,364,277,328,75,122,180,187,70,168,167])).
% 177.57/177.63 cnf(1186,plain,
% 177.57/177.63 (E(f4(f32(x11861,a2),x11862),f4(f32(x11861,a22),x11862))),
% 177.57/177.63 inference(rename_variables,[],[854])).
% 177.57/177.63 cnf(1190,plain,
% 177.57/177.63 (E(f4(f32(x11901,a2),f6(a2)),f4(f32(x11901,a22),f6(a22)))),
% 177.57/177.63 inference(scs_inference,[],[77,105,80,113,990,803,1111,1001,927,873,1078,1129,568,546,854,1186,922,912,724,591,364,277,328,75,122,180,187,70,168,167,48,63,64,58,71,3])).
% 177.57/177.63 cnf(1194,plain,
% 177.57/177.63 (~P9(a9,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[77,105,80,113,990,803,1111,866,1001,927,873,1078,1129,704,568,546,854,1186,922,912,724,591,364,277,328,75,122,180,187,70,168,167,48,63,64,58,71,3,2,47])).
% 177.57/177.63 cnf(1195,plain,
% 177.57/177.63 (P7(f10(f6(a2)),f29(f6(a22)))),
% 177.57/177.63 inference(scs_inference,[],[77,107,105,80,113,990,803,1111,866,1001,1131,927,873,1078,1129,704,568,546,854,1186,922,912,724,591,364,277,328,75,122,180,187,70,168,167,48,63,64,58,71,3,2,47,56])).
% 177.57/177.63 cnf(1220,plain,
% 177.57/177.63 (E(f28(x12201,f25(a2),x12202),f28(x12201,f25(a22),x12202))),
% 177.57/177.63 inference(scs_inference,[],[281,23,22,18])).
% 177.57/177.63 cnf(1221,plain,
% 177.57/177.63 (E(f23(f25(a2)),f23(f25(a22)))),
% 177.57/177.63 inference(scs_inference,[],[281,23,22,18,5])).
% 177.57/177.63 cnf(1222,plain,
% 177.57/177.63 (E(f10(f25(a2)),f10(f25(a22)))),
% 177.57/177.63 inference(scs_inference,[],[281,23,22,18,5,4])).
% 177.57/177.63 cnf(1227,plain,
% 177.57/177.63 (E(f28(f25(a2),x12271,x12272),f28(f25(a22),x12271,x12272))),
% 177.57/177.63 inference(scs_inference,[],[662,281,23,22,18,5,4,118,26,19,17])).
% 177.57/177.63 cnf(1229,plain,
% 177.57/177.63 (E(f4(f25(a2),x12291),f4(f25(a22),x12291))),
% 177.57/177.63 inference(scs_inference,[],[662,281,23,22,18,5,4,118,26,19,17,16,11])).
% 177.57/177.63 cnf(1230,plain,
% 177.57/177.63 (E(f24(x12301,f25(a2)),f24(x12301,f25(a22)))),
% 177.57/177.63 inference(scs_inference,[],[662,281,23,22,18,5,4,118,26,19,17,16,11,10])).
% 177.57/177.63 cnf(1233,plain,
% 177.57/177.63 (~P14(a11,f7(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[346,1121,662,281,754,23,22,18,5,4,118,26,19,17,16,11,10,183,188])).
% 177.57/177.63 cnf(1237,plain,
% 177.57/177.63 (~P7(f30(a16),f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[86,346,1121,662,281,1073,754,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186])).
% 177.57/177.63 cnf(1239,plain,
% 177.57/177.63 (P10(f30(f27(a1)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[86,346,1121,662,281,1073,754,538,364,277,328,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180])).
% 177.57/177.63 cnf(1241,plain,
% 177.57/177.63 (P12(f25(f27(a1)),a1)),
% 177.57/177.63 inference(scs_inference,[],[86,346,1121,662,281,1073,754,946,538,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187])).
% 177.57/177.63 cnf(1243,plain,
% 177.57/177.63 (P14(f24(a22,a22),f29(f32(a2,a2)))),
% 177.57/177.63 inference(scs_inference,[],[86,346,1121,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70])).
% 177.57/177.63 cnf(1245,plain,
% 177.57/177.63 (~P6(f30(a16),a9)),
% 177.57/177.63 inference(scs_inference,[],[86,346,1121,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168])).
% 177.57/177.63 cnf(1247,plain,
% 177.57/177.63 (P14(f23(f8(a1)),f8(a1))),
% 177.57/177.63 inference(scs_inference,[],[86,106,346,1121,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167])).
% 177.57/177.63 cnf(1248,plain,
% 177.57/177.63 (P7(f23(x12481),x12481)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(1250,plain,
% 177.57/177.63 (P7(f23(f32(x12501,a22)),f32(x12501,a2))),
% 177.57/177.63 inference(scs_inference,[],[86,106,1248,346,856,1121,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55])).
% 177.57/177.63 cnf(1254,plain,
% 177.57/177.63 (~E(f30(a16),a9)),
% 177.57/177.63 inference(scs_inference,[],[220,86,105,106,1248,346,856,1121,1132,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64])).
% 177.57/177.63 cnf(1256,plain,
% 177.57/177.63 (~E(f5(a12),a2)),
% 177.57/177.63 inference(scs_inference,[],[220,86,105,106,1248,490,346,1173,856,1121,1132,662,281,1073,813,754,946,538,716,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58])).
% 177.57/177.63 cnf(1266,plain,
% 177.57/177.63 (P17(f31(a18))),
% 177.57/177.63 inference(scs_inference,[],[226,220,86,105,106,1248,490,558,1089,1112,666,1171,346,1173,1153,856,1121,1132,662,1136,281,1073,813,754,922,946,538,716,390,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58,71,3,2,56,47,35,127])).
% 177.57/177.63 cnf(1268,plain,
% 177.57/177.63 (P7(f4(f10(x12681),x12682),f29(f32(a2,x12682)))),
% 177.57/177.63 inference(scs_inference,[],[226,220,86,105,106,1248,490,558,1089,1112,1060,666,1171,346,1173,1153,856,1121,1132,662,1136,281,1073,813,754,922,946,538,716,390,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58,71,3,2,56,47,35,127,208])).
% 177.57/177.63 cnf(1270,plain,
% 177.57/177.63 (P7(f7(f8(a1)),f29(f8(a1)))),
% 177.57/177.63 inference(scs_inference,[],[226,220,86,105,106,1248,490,558,1089,1112,1060,666,1171,346,1173,1153,856,1121,1132,662,1136,281,1073,813,754,922,946,538,716,390,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58,71,3,2,56,47,35,127,208,157])).
% 177.57/177.63 cnf(1272,plain,
% 177.57/177.63 (P13(f25(f27(a1)),a1)),
% 177.57/177.63 inference(scs_inference,[],[226,220,86,105,106,1248,490,558,1089,1112,1060,666,1171,346,1173,1153,856,1121,1132,662,1136,281,1073,813,754,922,946,538,716,390,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58,71,3,2,56,47,35,127,208,157,181])).
% 177.57/177.63 cnf(1274,plain,
% 177.57/177.63 (P7(f24(a22,a22),f29(f32(a2,a2)))),
% 177.57/177.63 inference(scs_inference,[],[226,220,86,105,106,1248,490,558,1089,1112,1060,666,1171,346,1173,1153,856,1121,1132,662,1136,281,1073,813,754,922,946,538,716,390,364,277,328,74,76,110,23,22,18,5,4,118,26,19,17,16,11,10,183,188,13,186,180,187,70,168,167,55,63,64,58,71,3,2,56,47,35,127,208,157,181,160])).
% 177.57/177.63 cnf(1289,plain,
% 177.57/177.63 (E(f23(f29(a22)),a22)),
% 177.57/177.63 inference(scs_inference,[],[464,117])).
% 177.57/177.63 cnf(1293,plain,
% 177.57/177.63 (~P14(f30(a16),f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[1237,446,464,117,183,160])).
% 177.57/177.63 cnf(1297,plain,
% 177.57/177.63 (~P14(f8(a1),f23(f8(a1)))),
% 177.57/177.63 inference(scs_inference,[],[1237,1239,1247,446,464,364,277,328,117,183,160,182,169])).
% 177.57/177.63 cnf(1299,plain,
% 177.57/177.63 (~P10(a22,f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,113,1237,1239,1247,446,823,464,364,277,328,75,117,183,160,182,169,187])).
% 177.57/177.63 cnf(1301,plain,
% 177.57/177.63 (P14(f24(a2,a22),f29(f32(a2,a2)))),
% 177.57/177.63 inference(scs_inference,[],[80,113,1237,1243,1239,1247,446,823,464,724,364,277,328,75,117,183,160,182,169,187,70])).
% 177.57/177.63 cnf(1303,plain,
% 177.57/177.63 (P7(f23(f29(a9)),f29(a22))),
% 177.57/177.63 inference(scs_inference,[],[80,113,1237,1243,1239,1247,446,1140,823,464,724,364,277,328,75,117,183,160,182,169,187,70,168])).
% 177.57/177.63 cnf(1305,plain,
% 177.57/177.63 (P14(f8(a1),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[115,80,113,382,1237,1243,1239,1247,446,1140,823,464,724,364,277,328,75,117,183,160,182,169,187,70,168,167])).
% 177.57/177.63 cnf(1311,plain,
% 177.57/177.63 (~P12(f23(f29(a22)),a12)),
% 177.57/177.63 inference(scs_inference,[],[115,107,105,80,113,382,1220,1237,1243,1239,1247,446,1140,823,464,724,364,277,328,75,117,183,160,182,169,187,70,168,167,55,63,50])).
% 177.57/177.63 cnf(1312,plain,
% 177.57/177.63 (P6(f23(f29(a22)),a2)),
% 177.57/177.63 inference(scs_inference,[],[220,115,107,105,80,113,382,1220,1237,1243,1239,1247,446,1140,823,464,724,390,364,277,328,75,117,183,160,182,169,187,70,168,167,55,63,50,64])).
% 177.57/177.63 cnf(1354,plain,
% 177.57/177.63 (P11(f33(a18),f32(f30(a18),f30(a18)),f30(a18))),
% 177.57/177.63 inference(scs_inference,[],[1169,196])).
% 177.57/177.63 cnf(1356,plain,
% 177.57/177.63 (P20(f31(a18),f32(f30(a18),f30(a18)),f30(a18))),
% 177.57/177.63 inference(scs_inference,[],[1169,1153,196,195])).
% 177.57/177.63 cnf(1358,plain,
% 177.57/177.63 (P20(f33(a18),f32(f30(a18),f30(a18)),f30(a18))),
% 177.57/177.63 inference(scs_inference,[],[1169,1153,196,195,194])).
% 177.57/177.63 cnf(1360,plain,
% 177.57/177.63 (P8(f31(a19),f32(f30(a19),f30(a19)),f30(a19))),
% 177.57/177.63 inference(scs_inference,[],[306,1169,1153,196,195,194,206])).
% 177.57/177.63 cnf(1362,plain,
% 177.57/177.63 (~P25(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[306,466,1052,1169,1153,196,195,194,206,137])).
% 177.57/177.63 cnf(1367,plain,
% 177.57/177.63 (~P25(f28(f30(a15),f31(a15),f33(a15)))),
% 177.57/177.63 inference(scs_inference,[],[114,306,1301,1087,466,1052,1169,1153,464,196,195,194,206,137,42,160,41])).
% 177.57/177.63 cnf(1368,plain,
% 177.57/177.63 (~P7(a11,f29(a22))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,306,1301,1087,466,1052,1169,1153,464,196,195,194,206,137,42,160,41,186])).
% 177.57/177.63 cnf(1370,plain,
% 177.57/177.63 (~P10(f23(f29(a22)),f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,80,113,306,1301,1087,466,1052,1311,1169,1153,464,75,196,195,194,206,137,42,160,41,186,187])).
% 177.57/177.63 cnf(1376,plain,
% 177.57/177.63 (~P6(a11,a22)),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,80,113,306,1301,1087,466,1052,1293,1311,1169,721,1153,464,75,196,195,194,206,137,42,160,41,186,187,169,70,168])).
% 177.57/177.63 cnf(1378,plain,
% 177.57/177.63 (~P7(f29(f30(a16)),f17(a16))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,80,113,1158,306,1301,1087,466,1052,1293,1311,1169,721,324,1153,464,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167])).
% 177.57/177.63 cnf(1380,plain,
% 177.57/177.63 (~E(f23(f26(a1)),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,106,80,113,1158,306,1301,1087,466,1052,1293,1311,1169,1179,721,324,1153,464,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55])).
% 177.57/177.63 cnf(1381,plain,
% 177.57/177.63 (P7(f23(x13811),x13811)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(1382,plain,
% 177.57/177.63 (P6(f28(f25(a22),x13821,x13822),f28(f25(a2),x13821,x13822))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,80,113,1158,306,1227,1301,1087,466,1052,1293,1311,1169,1179,721,324,1153,464,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63])).
% 177.57/177.63 cnf(1385,plain,
% 177.57/177.63 (~E(f5(a12),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,80,113,1158,306,999,1227,1301,1087,466,1052,1293,1311,1169,1179,721,324,1153,474,464,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63,64,50])).
% 177.57/177.63 cnf(1386,plain,
% 177.57/177.63 (P14(f24(a2,a22),f29(f32(a22,a2)))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,80,113,1158,306,999,1227,1301,1087,466,1052,1293,1311,1169,1179,721,324,1153,474,464,922,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63,64,50,71])).
% 177.57/177.63 cnf(1389,plain,
% 177.57/177.63 (E(f28(f25(a2),f32(x13891,a2),f32(x13892,a22)),f28(f25(a22),f32(x13891,a22),f32(x13892,a22)))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,80,113,1158,306,999,1227,1301,1087,466,1052,1293,1289,1311,1169,1179,721,729,851,324,1153,474,464,922,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63,64,50,71,47,3])).
% 177.57/177.63 cnf(1390,plain,
% 177.57/177.63 (E(f28(f25(a2),x13901,x13902),f28(f25(a22),x13901,x13902))),
% 177.57/177.63 inference(rename_variables,[],[1227])).
% 177.57/177.63 cnf(1392,plain,
% 177.57/177.63 (E(f28(f25(a22),x13921,x13922),f28(f25(a2),x13921,x13922))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,80,113,1158,306,999,1227,1390,1301,1087,466,1052,1293,1289,1311,1169,1179,721,729,851,324,1153,474,464,922,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63,64,50,71,47,3,2])).
% 177.57/177.63 cnf(1398,plain,
% 177.57/177.63 (~P12(f23(f29(a22)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[223,114,84,105,106,1381,80,113,374,1158,306,999,1227,1390,1301,1087,466,516,1052,1293,1289,1311,1169,1179,282,721,729,851,324,1153,474,464,922,912,75,196,195,194,206,137,42,160,41,186,187,169,70,168,167,55,63,64,50,71,47,3,2,56,68,128,51])).
% 177.57/177.63 cnf(1413,plain,
% 177.57/177.63 (P2(f28(f30(a19),f31(a19),f31(a19)))),
% 177.57/177.63 inference(scs_inference,[],[1360,271,310,209])).
% 177.57/177.63 cnf(1417,plain,
% 177.57/177.63 (P17(f33(a18))),
% 177.57/177.63 inference(scs_inference,[],[553,1360,271,1169,310,209,207,126])).
% 177.57/177.63 cnf(1419,plain,
% 177.57/177.63 (E(f28(f30(a12),f31(a12),f33(a12)),f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,553,1360,271,1169,310,209,207,126,191])).
% 177.57/177.63 cnf(1422,plain,
% 177.57/177.63 (P11(f4(x14221,x14222),x14221,x14222)),
% 177.57/177.63 inference(rename_variables,[],[109])).
% 177.57/177.63 cnf(1424,plain,
% 177.57/177.63 (P11(f4(x14241,x14242),x14241,x14242)),
% 177.57/177.63 inference(rename_variables,[],[109])).
% 177.57/177.63 cnf(1426,plain,
% 177.57/177.63 (E(f4(f25(a2),x14261),f4(f25(a22),x14261))),
% 177.57/177.63 inference(rename_variables,[],[1229])).
% 177.57/177.63 cnf(1428,plain,
% 177.57/177.63 (P8(f24(x14281,f8(a2)),x14281,f8(a22))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,80,553,1229,1360,283,271,1169,310,209,207,126,191,33,34,32,30])).
% 177.57/177.63 cnf(1429,plain,
% 177.57/177.63 (P8(f24(x14291,x14292),x14291,x14292)),
% 177.57/177.63 inference(rename_variables,[],[108])).
% 177.57/177.63 cnf(1432,plain,
% 177.57/177.63 (P8(f24(f8(a2),x14321),f8(a22),x14321)),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,80,553,1229,1360,1368,283,271,1169,310,209,207,126,191,33,34,32,30,160,29])).
% 177.57/177.63 cnf(1434,plain,
% 177.57/177.63 (P8(f4(f25(a22),a22),f25(a2),a2)),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,80,553,1229,1426,1360,1368,428,283,271,1169,310,209,207,126,191,33,34,32,30,160,29,28])).
% 177.57/177.63 cnf(1438,plain,
% 177.57/177.63 (~P25(f28(f30(a12),f31(a12),f33(a12)))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,80,438,553,1229,1426,1360,1368,428,283,271,1169,910,310,209,207,126,191,33,34,32,30,160,29,28,42,41])).
% 177.57/177.63 cnf(1439,plain,
% 177.57/177.63 (~P14(f29(f30(a1)),f8(a1))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,80,438,553,1229,1426,1360,1305,1368,428,283,271,1169,910,310,209,207,126,191,33,34,32,30,160,29,28,42,41,169])).
% 177.57/177.63 cnf(1444,plain,
% 177.57/177.63 (P14(f10(f25(a22)),f29(f25(a2)))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,80,438,553,1229,1426,1360,1305,1368,428,1312,1125,1222,283,271,1169,910,577,310,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70])).
% 177.57/177.63 cnf(1446,plain,
% 177.57/177.63 (P14(f23(f5(a12)),f5(a12))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,106,80,438,553,1229,1426,1360,1305,1368,428,602,1312,1125,1222,283,271,1169,910,577,310,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167])).
% 177.57/177.63 cnf(1447,plain,
% 177.57/177.63 (P7(f23(x14471),x14471)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(1451,plain,
% 177.57/177.63 (~P6(a11,f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,106,1447,80,438,553,1229,1426,1221,1360,1305,1368,428,602,1312,1376,1125,1222,283,1289,271,1169,910,577,310,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64])).
% 177.57/177.63 cnf(1452,plain,
% 177.57/177.63 (~E(f5(a1),f10(x14521))),
% 177.57/177.63 inference(scs_inference,[],[109,1422,1424,108,1429,86,106,1447,80,438,553,1229,1426,1221,1360,1305,1368,428,602,1312,1376,1125,1222,283,811,1289,271,1169,910,344,577,310,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50])).
% 177.57/177.63 cnf(1455,plain,
% 177.57/177.63 (~P9(f23(f29(a22)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[226,109,1422,1424,108,1429,86,106,1447,80,438,553,1229,1426,1221,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1289,271,1169,910,344,577,310,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47])).
% 177.57/177.63 cnf(1456,plain,
% 177.57/177.63 (P7(f24(a22,a22),f29(f32(a22,a2)))),
% 177.57/177.63 inference(scs_inference,[],[226,109,1422,1424,108,1429,86,106,1447,80,438,553,1229,1426,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1289,271,1169,910,344,577,310,922,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56])).
% 177.57/177.63 cnf(1462,plain,
% 177.57/177.63 (P8(f33(a21),f32(f30(a21),f30(a21)),f30(a21))),
% 177.57/177.63 inference(scs_inference,[],[226,109,1422,1424,108,1429,86,106,1447,80,438,308,1254,553,1229,1426,1134,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1052,1289,271,466,1169,910,344,577,310,922,314,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56,3,2,135,206])).
% 177.57/177.63 cnf(1464,plain,
% 177.57/177.63 (~P10(a9,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[226,109,1422,1424,108,1429,86,106,1447,80,438,308,1254,553,1229,1426,1134,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1052,1289,594,271,466,1169,910,344,577,310,922,314,74,76,110,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56,3,2,135,206,187])).
% 177.57/177.63 cnf(1467,plain,
% 177.57/177.63 (P2(f28(f30(a21),f33(a21),f33(a21)))),
% 177.57/177.63 inference(scs_inference,[],[226,109,1422,1424,108,1429,86,106,1447,80,438,308,1254,553,994,1392,1229,1426,1134,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1052,1289,594,271,466,1169,910,344,577,310,922,314,74,76,110,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56,3,2,135,206,187,63,683])).
% 177.57/177.63 cnf(1469,plain,
% 177.57/177.63 (E(f28(f25(a22),x14691,x14692),f28(f25(a2),x14691,x14692))),
% 177.57/177.63 inference(rename_variables,[],[1392])).
% 177.57/177.63 cnf(1472,plain,
% 177.57/177.63 (~P1(a15)+P29(a15)),
% 177.57/177.63 inference(scs_inference,[],[79,226,109,1422,1424,108,1429,86,112,106,1447,80,438,308,1254,553,994,1392,1469,1229,1426,1134,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1052,1289,594,271,466,1169,910,344,577,310,922,314,74,76,110,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56,3,2,135,206,187,63,683,681,214,35,134])).
% 177.57/177.63 cnf(1474,plain,
% 177.57/177.63 (~P1(a15)+P28(a15)),
% 177.57/177.63 inference(scs_inference,[],[79,226,109,1422,1424,108,1429,86,112,106,1447,80,438,308,1254,553,994,1392,1469,1229,1426,1134,1221,1274,1360,1305,1368,428,602,1312,1376,1125,1222,283,929,811,1052,1289,594,271,466,1169,910,344,577,310,922,314,74,76,110,209,207,126,191,33,34,32,30,160,29,28,42,41,169,168,48,70,167,55,64,50,71,47,56,3,2,135,206,187,63,683,681,214,35,134,133])).
% 177.57/177.63 cnf(1478,plain,
% 177.57/177.63 (P9(f26(f27(a1)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[1360,560,271,310,364,277,328,210,179])).
% 177.57/177.63 cnf(1480,plain,
% 177.57/177.63 (P3(a12)),
% 177.57/177.63 inference(scs_inference,[],[80,1360,560,271,310,364,277,328,210,179,119])).
% 177.57/177.63 cnf(1483,plain,
% 177.57/177.63 (E(f4(x14831,f17(a2)),f4(x14831,f17(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,284,1360,560,271,310,364,277,328,210,179,119,15,12])).
% 177.57/177.63 cnf(1484,plain,
% 177.57/177.63 (P11(f31(a18),f32(f30(a18),f30(a18)),f30(a18))),
% 177.57/177.63 inference(scs_inference,[],[80,284,1360,1153,560,271,310,364,277,328,210,179,119,15,12,197])).
% 177.57/177.63 cnf(1491,plain,
% 177.57/177.63 (E(f24(f17(a2),x14911),f24(f17(a22),x14911))),
% 177.57/177.63 inference(scs_inference,[],[80,284,1360,1153,560,271,310,364,277,328,210,179,119,15,12,197,25,24,21,20,14,9])).
% 177.57/177.63 cnf(1497,plain,
% 177.57/177.63 (P8(f4(f25(a22),a22),f25(a2),a22)),
% 177.57/177.63 inference(scs_inference,[],[80,1444,1065,1434,284,1360,1153,560,271,265,310,364,277,328,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30])).
% 177.57/177.63 cnf(1499,plain,
% 177.57/177.63 (P8(f24(x14991,f25(a22)),x14991,f25(a2))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,1444,1065,1434,1230,1190,284,1360,1153,560,271,265,310,364,277,328,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28])).
% 177.57/177.63 cnf(1501,plain,
% 177.57/177.63 (E(f29(f17(a2)),f29(f17(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,1444,1065,1434,1230,1190,284,1360,1153,560,271,265,310,364,277,328,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8])).
% 177.57/177.63 cnf(1502,plain,
% 177.57/177.63 (~P14(f29(f32(a22,a2)),f24(a2,a22))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,1444,1386,1065,1434,1230,1190,284,1360,1153,560,271,265,310,364,277,328,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169])).
% 177.57/177.63 cnf(1504,plain,
% 177.57/177.63 (P12(f30(f27(a1)),a1)),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,1444,1386,1065,1434,1230,1190,284,1360,1239,1153,560,271,265,310,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187])).
% 177.57/177.63 cnf(1506,plain,
% 177.57/177.63 (P14(f26(a12),f29(f30(a12)))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,653,1444,1386,1065,1434,1230,1190,284,1360,1239,1153,560,271,265,310,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167])).
% 177.57/177.63 cnf(1509,plain,
% 177.57/177.63 (P14(a22,f29(f25(a2)))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,653,1444,1386,1065,1434,1230,1190,284,1360,1239,1153,560,271,265,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70])).
% 177.57/177.63 cnf(1511,plain,
% 177.57/177.63 (~E(f23(f17(a16)),f29(f30(a16)))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,106,653,1444,1386,1065,1434,1230,1378,1190,284,1360,1239,1153,560,271,265,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55])).
% 177.57/177.63 cnf(1513,plain,
% 177.57/177.63 (~P12(f23(f29(a22)),a1)),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,106,653,1444,1386,1065,1434,1230,1378,1190,284,1360,1239,1153,247,560,271,265,1289,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55,50])).
% 177.57/177.63 cnf(1515,plain,
% 177.57/177.63 (~P7(a11,f29(a2))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,106,653,1444,1297,1386,1065,1434,1230,1378,1190,284,1360,1368,1239,1305,1153,247,560,271,297,265,1289,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55,50,71,56])).
% 177.57/177.63 cnf(1518,plain,
% 177.57/177.63 (E(f28(f25(a2),f32(x15181,a2),f32(x15182,a22)),f28(f25(a22),f32(x15181,a22),f32(x15182,a22)))),
% 177.57/177.63 inference(rename_variables,[],[1389])).
% 177.57/177.63 cnf(1521,plain,
% 177.57/177.63 (P21(f31(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,106,653,1389,1518,1444,1297,1386,1065,1434,1230,1378,1190,284,1003,1360,1368,1239,452,1305,1153,247,560,442,271,297,265,1289,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55,50,71,56,47,3,2,619])).
% 177.57/177.63 cnf(1523,plain,
% 177.57/177.63 (E(f33(a21),x15231)+~E(f28(f30(a21),f33(a21),f33(a21)),f28(x15232,x15231,x15233))),
% 177.57/177.63 inference(scs_inference,[],[80,109,108,115,106,653,1389,1518,1444,1462,1297,1386,1065,1434,1230,1378,1190,284,1003,1360,1368,1239,452,312,1305,273,1153,247,560,442,271,297,265,1289,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55,50,71,56,47,3,2,619,615,213])).
% 177.57/177.63 cnf(1528,plain,
% 177.57/177.63 (P23(f31(a12),f30(a12))+~E(f28(f30(a21),f33(a21),f33(a21)),f28(x15281,x15282,x15283))),
% 177.57/177.63 inference(scs_inference,[],[80,92,93,109,108,115,106,113,653,1389,1518,1444,1462,1297,1386,1065,1434,1230,1378,1190,284,1003,1360,1368,1239,452,312,1305,273,1153,247,560,442,271,297,265,1289,310,917,364,277,328,74,76,110,210,179,119,15,12,197,25,24,21,20,14,9,7,6,33,160,30,32,28,8,169,187,167,70,55,50,71,56,47,3,2,619,615,213,171,43,173])).
% 177.57/177.63 cnf(1546,plain,
% 177.57/177.63 (P23(f31(a12),f30(a12))),
% 177.57/177.63 inference(equality_inference,[],[1528])).
% 177.57/177.63 cnf(1548,plain,
% 177.57/177.63 (P7(f4(x15481,f10(x15482)),f29(f32(x15481,a2)))),
% 177.57/177.63 inference(scs_inference,[],[1063,208])).
% 177.57/177.63 cnf(1552,plain,
% 177.57/177.63 (P5(a12)),
% 177.57/177.63 inference(scs_inference,[],[80,1063,649,208,157,122])).
% 177.57/177.63 cnf(1554,plain,
% 177.57/177.63 (P13(f30(f27(a1)),a1)),
% 177.57/177.63 inference(scs_inference,[],[80,1063,649,1504,74,76,110,208,157,122,181])).
% 177.57/177.63 cnf(1559,plain,
% 177.57/177.63 (P10(f30(a1),a1)),
% 177.57/177.63 inference(scs_inference,[],[80,1063,649,1504,1509,342,267,74,76,110,208,157,122,181,188,180])).
% 177.57/177.63 cnf(1563,plain,
% 177.57/177.63 (~P14(f29(f30(a12)),f26(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,1063,1506,649,1504,1509,1515,342,267,74,76,110,208,157,122,181,188,180,160,169])).
% 177.57/177.63 cnf(1565,plain,
% 177.57/177.63 (~P10(f23(f29(a22)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[80,1063,1506,649,1504,1509,1513,1515,342,267,74,76,110,208,157,122,181,188,180,160,169,187])).
% 177.57/177.63 cnf(1567,plain,
% 177.57/177.63 (~P6(a11,a2)),
% 177.57/177.63 inference(scs_inference,[],[80,1063,1506,649,1504,1509,1513,1515,342,267,74,76,110,208,157,122,181,188,180,160,169,187,168])).
% 177.57/177.63 cnf(1569,plain,
% 177.57/177.63 (~P7(f29(f30(a1)),f8(a1))),
% 177.57/177.63 inference(scs_inference,[],[80,1063,1439,1506,649,1504,1509,1513,1515,342,346,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167])).
% 177.57/177.63 cnf(1574,plain,
% 177.57/177.63 (~P6(f29(x15741),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,105,1483,1063,1439,1506,649,1504,1509,1513,1515,1077,1247,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64])).
% 177.57/177.63 cnf(1575,plain,
% 177.57/177.63 (~E(f30(f27(a1)),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,105,1483,1063,1439,1506,649,1504,1509,1513,1515,1077,1247,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50])).
% 177.57/177.63 cnf(1576,plain,
% 177.57/177.63 (P7(f10(f17(a2)),f29(f17(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,107,105,1483,1501,1063,1439,1506,649,1504,1509,1513,1515,1077,1247,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50,56])).
% 177.57/177.63 cnf(1578,plain,
% 177.57/177.63 (~P9(f23(f29(a22)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[80,107,105,1483,1501,1063,1439,1506,649,1504,1509,1513,1515,1077,1247,704,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50,56,47])).
% 177.57/177.63 cnf(1579,plain,
% 177.57/177.63 (E(f4(f25(a2),f17(a2)),f4(f25(a22),f17(a22)))),
% 177.57/177.63 inference(scs_inference,[],[80,107,105,1483,1501,1063,1439,1506,649,1504,1509,1513,1515,1077,1229,1247,704,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50,56,47,3])).
% 177.57/177.63 cnf(1583,plain,
% 177.57/177.63 (~E(a15,x15831)+P15(x15831)),
% 177.57/177.63 inference(scs_inference,[],[80,82,107,105,1483,1149,1501,1063,1439,1506,649,1504,1509,1513,1515,1077,1229,1247,704,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50,56,47,3,2,39])).
% 177.57/177.63 cnf(1586,plain,
% 177.57/177.63 (P21(f33(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[80,82,91,90,107,105,113,1483,1149,1501,1063,1439,1506,649,1504,1509,1513,1515,1077,1229,1247,704,342,346,1289,267,74,76,110,208,157,122,181,188,180,160,169,187,168,167,70,63,64,50,56,47,3,2,39,170,203])).
% 177.57/177.63 cnf(1601,plain,
% 177.57/177.63 (P17(f31(a12))),
% 177.57/177.63 inference(scs_inference,[],[1480,127])).
% 177.57/177.63 cnf(1603,plain,
% 177.57/177.63 (P4(a12)),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,127,121])).
% 177.57/177.63 cnf(1606,plain,
% 177.57/177.63 (E(f23(f7(a2)),f23(f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5])).
% 177.57/177.63 cnf(1609,plain,
% 177.57/177.63 (E(f28(x16091,x16092,f7(a2)),f28(x16091,x16092,f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19])).
% 177.57/177.63 cnf(1610,plain,
% 177.57/177.63 (E(f28(x16101,f7(a2),x16102),f28(x16101,f7(a22),x16102))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19,18])).
% 177.57/177.63 cnf(1611,plain,
% 177.57/177.63 (E(f28(f7(a2),x16111,x16112),f28(f7(a22),x16111,x16112))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19,18,17])).
% 177.57/177.63 cnf(1613,plain,
% 177.57/177.63 (E(f4(f7(a2),x16131),f4(f7(a22),x16131))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19,18,17,16,11])).
% 177.57/177.63 cnf(1614,plain,
% 177.57/177.63 (E(f10(f7(a2)),f10(f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19,18,17,16,11,4])).
% 177.57/177.63 cnf(1615,plain,
% 177.57/177.63 (E(f24(x16151,f7(a2)),f24(x16151,f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,127,121,22,5,26,23,19,18,17,16,11,4,10])).
% 177.57/177.63 cnf(1617,plain,
% 177.57/177.63 (P7(f24(a2,a22),f29(f32(a22,a2)))),
% 177.57/177.63 inference(scs_inference,[],[1552,1480,285,1386,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160])).
% 177.57/177.63 cnf(1621,plain,
% 177.57/177.63 (P14(f23(f25(a12)),f25(a12))),
% 177.57/177.63 inference(scs_inference,[],[106,657,1552,1480,1446,285,1386,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167])).
% 177.57/177.63 cnf(1624,plain,
% 177.57/177.63 (P14(f24(x16241,a22),f29(f32(x16241,a2)))),
% 177.57/177.63 inference(scs_inference,[],[106,657,1552,1480,1446,285,1386,295,813,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167,70])).
% 177.57/177.63 cnf(1627,plain,
% 177.57/177.63 (P6(f28(f32(x16271,a22),f32(x16272,a2),f32(x16273,a2)),f28(f32(x16271,a2),f32(x16272,a2),f32(x16273,a2)))),
% 177.57/177.63 inference(scs_inference,[],[106,1139,657,1552,1480,1446,285,1386,1003,295,813,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167,70,63])).
% 177.57/177.63 cnf(1632,plain,
% 177.57/177.63 (~E(f25(f27(a1)),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[105,106,1139,1574,657,1552,1480,1241,1446,285,1386,1003,1513,295,813,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167,70,63,64,50])).
% 177.57/177.63 cnf(1637,plain,
% 177.57/177.63 (E(f24(f17(a22),x16371),f24(f17(a2),x16371))),
% 177.57/177.63 inference(scs_inference,[],[105,106,1548,1139,1491,1574,657,665,1552,1480,1241,1446,285,1386,1003,1513,295,813,922,390,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167,70,63,64,50,56,3,2])).
% 177.57/177.63 cnf(1638,plain,
% 177.57/177.63 (~E(f26(f27(a1)),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[105,106,1548,1139,1491,1574,1478,1578,657,665,1552,1480,1241,1446,285,1386,1003,1513,295,813,922,390,127,121,22,5,26,23,19,18,17,16,11,4,10,13,160,169,167,70,63,64,50,56,3,2,47])).
% 177.57/177.63 cnf(1669,plain,
% 177.57/177.63 (P7(f17(a12),f29(f30(a12)))),
% 177.57/177.63 inference(scs_inference,[],[113,1603,178])).
% 177.57/177.63 cnf(1671,plain,
% 177.57/177.63 (P15(f27(f27(a18)))),
% 177.57/177.63 inference(scs_inference,[],[113,762,1603,178,125])).
% 177.57/177.63 cnf(1673,plain,
% 177.57/177.63 (P2(f27(f27(a18)))),
% 177.57/177.63 inference(scs_inference,[],[113,762,1603,178,125,124])).
% 177.57/177.63 cnf(1675,plain,
% 177.57/177.63 (~P16(f17(a12))),
% 177.57/177.63 inference(scs_inference,[],[113,762,1603,178,125,124,139])).
% 177.57/177.63 cnf(1681,plain,
% 177.57/177.63 (E(f23(f29(a9)),a22)),
% 177.57/177.63 inference(scs_inference,[],[113,1467,719,762,1603,662,178,125,124,139,119,183,117])).
% 177.57/177.63 cnf(1685,plain,
% 177.57/177.63 (P7(f23(f25(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[113,891,486,1467,1621,719,762,1603,662,178,125,124,139,119,183,117,174,188])).
% 177.57/177.63 cnf(1693,plain,
% 177.57/177.63 (P14(f17(a1),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[115,113,891,486,1467,1624,1621,719,762,1603,1559,1121,662,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167])).
% 177.57/177.63 cnf(1696,plain,
% 177.57/177.63 (P14(a2,f29(f32(x16961,a2)))),
% 177.57/177.63 inference(scs_inference,[],[115,113,891,486,1467,1624,1621,719,762,1603,1127,1559,1121,662,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70])).
% 177.57/177.63 cnf(1697,plain,
% 177.57/177.63 (~P10(f23(f29(a9)),f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[115,113,891,486,1467,1624,1621,719,762,1603,1299,1127,1559,1121,662,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70,58])).
% 177.57/177.63 cnf(1700,plain,
% 177.57/177.63 (P6(f28(x17001,x17002,f7(a2)),f28(x17001,x17002,f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[220,115,105,113,891,486,1467,1609,1624,1621,719,762,1603,1299,1567,1127,1559,1121,662,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70,58,63,64])).
% 177.57/177.63 cnf(1701,plain,
% 177.57/177.63 (~P12(f23(f29(a9)),a12)),
% 177.57/177.63 inference(scs_inference,[],[220,115,105,113,891,486,1467,1609,1624,1621,719,762,1603,1299,1567,1127,1559,1121,662,823,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70,58,63,64,50])).
% 177.57/177.63 cnf(1705,plain,
% 177.57/177.63 (E(f28(x17051,f7(a2),f7(a2)),f28(x17051,f7(a22),f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[220,115,105,113,891,1380,486,1467,1609,1610,1624,1621,719,762,1603,1299,1567,1127,1559,1121,662,823,267,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70,58,63,64,50,2,56,3])).
% 177.57/177.63 cnf(1713,plain,
% 177.57/177.63 (~P10(f23(f29(a22)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[220,115,105,113,891,1380,486,1467,1609,1610,1624,1621,719,762,1603,1565,1299,1567,1127,1559,1121,662,862,444,823,77,314,267,390,74,76,110,178,125,124,139,119,183,117,174,188,182,160,169,167,70,58,63,64,50,2,56,3,47,192,120,59])).
% 177.57/177.63 cnf(1718,plain,
% 177.57/177.63 (P20(f31(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[877,1480,128,195])).
% 177.57/177.63 cnf(1720,plain,
% 177.57/177.63 (P11(f33(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[877,1480,1552,128,195,196])).
% 177.57/177.63 cnf(1722,plain,
% 177.57/177.63 (P20(f33(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[877,1480,1552,128,195,196,194])).
% 177.57/177.63 cnf(1724,plain,
% 177.57/177.63 (~P16(f32(f5(a1),f5(a1)))),
% 177.57/177.63 inference(scs_inference,[],[877,1480,1552,128,195,196,194,183])).
% 177.57/177.63 cnf(1726,plain,
% 177.57/177.63 (~P14(x17261,f23(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[84,1177,877,1480,1552,128,195,196,194,183,186])).
% 177.57/177.63 cnf(1730,plain,
% 177.57/177.63 (~P14(f29(f30(a1)),f17(a1))),
% 177.57/177.63 inference(scs_inference,[],[84,1177,1693,877,1696,1480,1552,128,195,196,194,183,186,160,169])).
% 177.57/177.63 cnf(1732,plain,
% 177.57/177.63 (~P7(f29(f30(a12)),f26(a12))),
% 177.57/177.63 inference(scs_inference,[],[84,1177,1563,1693,877,1696,719,1480,1552,128,195,196,194,183,186,160,169,167])).
% 177.57/177.63 cnf(1735,plain,
% 177.57/177.63 (P7(f23(x17351),x17351)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(1737,plain,
% 177.57/177.63 (~P6(a11,f23(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[84,106,1177,1697,1563,1693,877,1696,1681,490,719,1376,1480,1552,128,195,196,194,183,186,160,169,167,55,58,64])).
% 177.57/177.63 cnf(1740,plain,
% 177.57/177.63 (~E(f25(f27(a1)),f30(a1))),
% 177.57/177.63 inference(scs_inference,[],[84,106,105,1177,1611,1697,1563,1693,877,1696,1681,490,719,1376,1480,1552,1241,116,128,195,196,194,183,186,160,169,167,55,58,64,63,50])).
% 177.57/177.63 cnf(1741,plain,
% 177.57/177.63 (E(f28(f7(a22),x17411,x17412),f28(f7(a2),x17411,x17412))),
% 177.57/177.63 inference(scs_inference,[],[84,106,105,1177,1611,1697,1563,1693,877,1696,1681,490,719,1376,1480,1552,1241,116,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2])).
% 177.57/177.63 cnf(1744,plain,
% 177.57/177.63 (E(f28(f7(a2),f7(a2),f7(a2)),f28(f7(a22),f7(a22),f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[84,106,1735,105,1177,1611,1705,1697,1563,1693,877,1696,1681,289,490,719,1376,1480,1552,1241,116,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3])).
% 177.57/177.63 cnf(1745,plain,
% 177.57/177.63 (E(f28(f7(a2),x17451,x17452),f28(f7(a22),x17451,x17452))),
% 177.57/177.63 inference(rename_variables,[],[1611])).
% 177.57/177.63 cnf(1750,plain,
% 177.57/177.63 (~P12(f23(f29(a9)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[84,106,1735,105,1177,1611,1705,1697,1563,1693,877,1696,1681,1701,289,490,719,1376,1480,1552,1241,729,1052,116,466,912,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3,47,130,51])).
% 177.57/177.63 cnf(1751,plain,
% 177.57/177.63 (P14(a22,f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[84,106,1735,105,1177,1611,1705,1697,1563,1693,877,1696,1681,1701,289,490,719,1376,1480,1552,1241,721,729,1052,116,466,912,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3,47,130,51,70])).
% 177.57/177.63 cnf(1756,plain,
% 177.57/177.63 (~E(a12,x17561)+P5(x17561)),
% 177.57/177.63 inference(scs_inference,[],[100,84,106,1735,105,1177,1611,1745,1705,1697,1563,1693,877,1696,1681,1701,289,490,719,1376,1480,1552,1241,721,729,1052,116,466,912,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3,47,130,51,70,205,73,46])).
% 177.57/177.63 cnf(1760,plain,
% 177.57/177.63 (E(f33(a21),x17601)+~E(f28(f30(a21),f33(a21),f33(a21)),f28(x17602,x17603,x17601))),
% 177.57/177.63 inference(scs_inference,[],[100,84,106,1735,105,579,1177,1611,1745,1705,1697,1563,1693,877,1696,1681,1701,289,490,719,1462,1376,1480,1552,1241,721,729,1052,116,466,312,273,912,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3,47,130,51,70,205,73,46,44,36,35,212])).
% 177.57/177.63 cnf(1762,plain,
% 177.57/177.63 (~P8(f31(a1),f32(f30(a1),f30(a1)),f30(a1))+~P25(f28(f30(a1),f31(a1),f31(a1)))),
% 177.57/177.63 inference(scs_inference,[],[100,84,106,1735,105,579,1177,1611,1745,1705,1697,1563,1693,746,877,893,1696,1681,1701,289,490,756,719,1462,1376,1480,1552,1241,721,729,1052,116,466,312,273,912,128,195,196,194,183,186,160,169,167,55,58,64,63,50,2,56,3,47,130,51,70,205,73,46,44,36,35,212,215])).
% 177.57/177.63 cnf(1767,plain,
% 177.57/177.63 (P17(f33(a12))),
% 177.57/177.63 inference(scs_inference,[],[1552,126])).
% 177.57/177.63 cnf(1769,plain,
% 177.57/177.63 (E(f28(f30(a13),f31(a13),f33(a13)),f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[1552,78,126,191])).
% 177.57/177.63 cnf(1773,plain,
% 177.57/177.63 (P8(f4(x17731,f28(a2,x17732,x17733)),x17731,f28(a22,x17732,x17733))),
% 177.57/177.63 inference(scs_inference,[],[532,983,1552,78,126,191,207,206])).
% 177.57/177.63 cnf(1775,plain,
% 177.57/177.63 (P7(f6(a1),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[336,532,983,1552,78,74,76,110,126,191,207,206,190])).
% 177.57/177.63 cnf(1779,plain,
% 177.57/177.63 (~P14(f25(a12),f23(f25(a12)))),
% 177.57/177.63 inference(scs_inference,[],[336,532,983,1621,700,1552,78,74,76,110,126,191,207,206,190,160,169])).
% 177.57/177.63 cnf(1781,plain,
% 177.57/177.63 (P14(f23(f17(a1)),f17(a1))),
% 177.57/177.63 inference(scs_inference,[],[106,336,532,983,914,1621,700,1552,78,74,76,110,126,191,207,206,190,160,169,167])).
% 177.57/177.63 cnf(1782,plain,
% 177.57/177.63 (P7(f23(x17821),x17821)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(1786,plain,
% 177.57/177.63 (P14(a2,f29(f25(a2)))),
% 177.57/177.63 inference(scs_inference,[],[106,1782,336,532,983,914,1606,1621,1509,700,1552,78,390,74,76,110,126,191,207,206,190,160,169,167,55,70])).
% 177.57/177.63 cnf(1792,plain,
% 177.57/177.63 (E(f28(f7(a22),x17921,x17922),f28(f7(a2),x17921,x17922))),
% 177.57/177.63 inference(rename_variables,[],[1741])).
% 177.57/177.63 cnf(1793,plain,
% 177.57/177.63 (~E(f30(f27(a1)),f10(x17931))),
% 177.57/177.63 inference(scs_inference,[],[106,1782,105,336,532,1700,1741,983,914,1737,1606,897,1621,1509,1504,811,700,1681,1552,78,390,74,76,110,126,191,207,206,190,160,169,167,55,70,58,64,63,50])).
% 177.57/177.63 cnf(1796,plain,
% 177.57/177.63 (P7(f24(a22,a2),f29(f24(a2,a22)))),
% 177.57/177.63 inference(scs_inference,[],[106,1782,105,336,1511,992,532,1700,1741,983,914,1737,1256,1606,897,1621,1509,1504,811,700,1681,800,1552,78,390,74,76,110,126,191,207,206,190,160,169,167,55,70,58,64,63,50,3,2,56])).
% 177.57/177.63 cnf(1800,plain,
% 177.57/177.63 (~P7(f25(a12),f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[233,86,106,1782,105,336,1511,992,532,1700,1741,983,914,1737,1256,1606,897,1125,1621,1509,1478,1504,811,700,1681,800,1552,78,390,74,76,110,126,191,207,206,190,160,169,167,55,70,58,64,63,50,3,2,56,47,57,186])).
% 177.57/177.63 cnf(1807,plain,
% 177.57/177.63 (~P8(f31(a12),f32(f30(a12),f30(a12)),f30(a12))+P15(f28(f30(a12),f31(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[233,86,108,106,1782,105,336,1511,992,532,1700,1741,1792,983,1718,914,1601,1737,1256,548,1606,897,1125,1621,1509,1478,1504,811,700,1681,742,800,1552,78,390,74,76,110,126,191,207,206,190,160,169,167,55,70,58,64,63,50,3,2,56,47,57,186,209,52,37,210])).
% 177.57/177.63 cnf(1815,plain,
% 177.57/177.63 (P11(f31(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[1480,197])).
% 177.57/177.63 cnf(1817,plain,
% 177.57/177.63 (E(f27(f27(a2)),f27(f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[290,1480,197,15])).
% 177.57/177.63 cnf(1818,plain,
% 177.57/177.63 (E(f25(f27(a2)),f25(f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[290,1480,197,15,24])).
% 177.57/177.63 cnf(1822,plain,
% 177.57/177.63 (E(f4(x18221,f27(a2)),f4(x18221,f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[290,1480,197,15,24,21,20,14,12])).
% 177.57/177.63 cnf(1823,plain,
% 177.57/177.63 (E(f24(f27(a2),x18231),f24(f27(a22),x18231))),
% 177.57/177.63 inference(scs_inference,[],[290,1480,197,15,24,21,20,14,12,9])).
% 177.57/177.63 cnf(1824,plain,
% 177.57/177.63 (E(f32(f27(a2),x18241),f32(f27(a22),x18241))),
% 177.57/177.63 inference(scs_inference,[],[290,1480,197,15,24,21,20,14,12,9,6])).
% 177.57/177.63 cnf(1827,plain,
% 177.57/177.63 (~P12(f10(x18271),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[104,290,1480,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175])).
% 177.57/177.63 cnf(1833,plain,
% 177.57/177.63 (E(f24(x18331,f7(a2)),f24(x18331,f7(a22)))),
% 177.57/177.63 inference(rename_variables,[],[1615])).
% 177.57/177.63 cnf(1836,plain,
% 177.57/177.63 (E(f24(x18361,f7(a2)),f24(x18361,f7(a22)))),
% 177.57/177.63 inference(rename_variables,[],[1615])).
% 177.57/177.63 cnf(1837,plain,
% 177.57/177.63 (P8(f24(x18371,x18372),x18371,x18372)),
% 177.57/177.63 inference(rename_variables,[],[108])).
% 177.57/177.63 cnf(1838,plain,
% 177.57/177.63 (P8(f24(x18381,f27(a2)),x18381,f27(a22))),
% 177.57/177.63 inference(scs_inference,[],[109,104,108,1837,1040,1615,1833,290,951,1480,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30])).
% 177.57/177.63 cnf(1840,plain,
% 177.57/177.63 (E(f29(f27(a2)),f29(f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,104,108,1837,1040,1615,1833,290,951,1480,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8])).
% 177.57/177.63 cnf(1843,plain,
% 177.57/177.63 (~P14(f17(a1),f23(f17(a1)))),
% 177.57/177.63 inference(scs_inference,[],[109,104,108,1837,1040,1781,1786,1615,1833,290,951,1480,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169])).
% 177.57/177.63 cnf(1845,plain,
% 177.57/177.63 (P14(f24(a22,a2),f29(f24(a2,a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,104,108,1837,115,1796,1040,1781,1786,1615,1833,290,951,1480,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167])).
% 177.57/177.63 cnf(1853,plain,
% 177.57/177.63 (~P10(f23(f29(a9)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[223,109,104,108,1837,107,115,1796,1040,1726,1730,1781,1800,1786,1615,1833,290,1078,951,1480,1681,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58])).
% 177.57/177.63 cnf(1856,plain,
% 177.57/177.63 (~P12(f23(f29(a9)),a1)),
% 177.57/177.63 inference(scs_inference,[],[223,109,104,108,1837,107,115,105,1796,1040,1726,1730,1744,1781,1800,1786,1615,1833,290,1078,951,1480,247,1681,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58,64,50])).
% 177.57/177.63 cnf(1857,plain,
% 177.57/177.63 (~E(f29(f30(a12)),f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[223,109,104,108,1837,107,115,105,1796,1040,1726,1730,1744,1781,1800,1786,1615,1833,290,486,1078,951,1480,247,1681,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58,64,50,56])).
% 177.57/177.63 cnf(1858,plain,
% 177.57/177.63 (E(f24(f17(a22),f7(a2)),f24(f17(a2),f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[223,109,104,108,1837,107,115,105,1796,1040,1726,1730,1744,1781,1800,1786,1615,1833,1836,1637,290,486,1078,951,1480,247,1681,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58,64,50,56,3])).
% 177.57/177.63 cnf(1861,plain,
% 177.57/177.63 (E(f28(f7(a22),f7(a22),f7(a22)),f28(f7(a2),f7(a2),f7(a2)))),
% 177.57/177.63 inference(scs_inference,[],[223,109,104,108,1837,107,115,105,1796,1040,1726,1730,1744,1781,1800,1786,1615,1833,1836,1637,290,486,1078,951,1480,247,1681,912,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58,64,50,56,3,2])).
% 177.57/177.63 cnf(1869,plain,
% 177.57/177.63 (E(f30(a19),x18691)+~E(f28(f30(a19),f31(a19),f31(a19)),f28(x18691,x18692,x18693))),
% 177.57/177.63 inference(scs_inference,[],[88,223,109,104,108,1837,107,112,115,105,1796,1040,1726,1730,1744,1781,552,1800,1786,1615,1833,1836,1637,290,486,1078,1360,951,546,1480,530,247,271,1681,310,912,79,364,277,328,197,15,24,21,20,14,12,9,6,25,7,175,51,33,32,28,30,8,160,169,167,55,70,71,58,64,50,56,3,2,47,132,208,213,214])).
% 177.57/177.63 cnf(1879,plain,
% 177.57/177.63 (P7(f7(f17(a12)),f29(f17(a12)))),
% 177.57/177.63 inference(scs_inference,[],[1675,157])).
% 177.57/177.63 cnf(1881,plain,
% 177.57/177.63 (P5(f28(f30(a19),f31(a19),f31(a19)))),
% 177.57/177.63 inference(scs_inference,[],[1413,1675,157,122])).
% 177.57/177.63 cnf(1883,plain,
% 177.57/177.63 (~P12(a2,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[85,1413,1675,364,277,328,157,122,175])).
% 177.57/177.63 cnf(1889,plain,
% 177.57/177.63 (~E(f30(a12),a9)),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1822,1823,1413,1857,1675,364,277,328,157,122,175,32,28,8])).
% 177.57/177.63 cnf(1890,plain,
% 177.57/177.63 (~P10(f10(x18901),f27(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1822,1823,1413,1827,1857,1675,364,277,328,157,122,175,32,28,8,187])).
% 177.57/177.63 cnf(1892,plain,
% 177.57/177.63 (~P6(f25(a12),a9)),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1822,1823,1413,1827,1857,1675,1800,364,277,328,157,122,175,32,28,8,187,168])).
% 177.57/177.63 cnf(1894,plain,
% 177.57/177.63 (~P14(f25(a12),f29(a9))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1822,1823,1413,1827,1857,1675,1800,364,277,328,157,122,175,32,28,8,187,168,160])).
% 177.57/177.63 cnf(1896,plain,
% 177.57/177.63 (~P14(f29(f24(a2,a22)),f24(a22,a2))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1845,1822,1823,1413,1827,1857,1675,1800,364,277,328,157,122,175,32,28,8,187,168,160,169])).
% 177.57/177.63 cnf(1898,plain,
% 177.57/177.63 (~P7(a11,f7(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,760,1800,364,277,328,157,122,175,32,28,8,187,168,160,169,167])).
% 177.57/177.63 cnf(1901,plain,
% 177.57/177.63 (P14(f10(f7(a22)),f29(f7(a2)))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,1614,760,1800,577,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70])).
% 177.57/177.63 cnf(1903,plain,
% 177.57/177.63 (P14(f24(a22,a2),f29(f24(a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,1614,760,884,1800,577,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71])).
% 177.57/177.63 cnf(1905,plain,
% 177.57/177.63 (~E(f5(f27(a1)),f10(x19051))),
% 177.57/177.63 inference(scs_inference,[],[109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,589,1614,760,884,1800,577,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58])).
% 177.57/177.63 cnf(1908,plain,
% 177.57/177.63 (~P6(f29(x19081),f23(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,589,1614,760,1077,884,1800,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64])).
% 177.57/177.63 cnf(1909,plain,
% 177.57/177.63 (~E(f25(f27(a1)),f23(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,1856,589,1614,760,1077,884,1800,1241,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50])).
% 177.57/177.63 cnf(1910,plain,
% 177.57/177.63 (E(f4(f7(a2),f27(a2)),f4(f7(a22),f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,1845,1822,1823,1413,1827,1857,1675,1233,1856,589,1613,1614,760,1077,884,1800,1241,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50,3])).
% 177.57/177.63 cnf(1913,plain,
% 177.57/177.63 (~E(f23(f29(a22)),f26(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,1845,1638,1822,1823,1413,1827,1857,1675,1233,1856,589,1613,1614,760,1077,884,1800,1241,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50,3,2])).
% 177.57/177.63 cnf(1914,plain,
% 177.57/177.63 (P7(f10(f27(a2)),f29(f27(a22)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,107,1845,1638,1822,1823,1413,1827,1840,1857,1675,1233,1856,589,1613,1614,760,1077,884,1800,1241,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50,3,2,56])).
% 177.57/177.63 cnf(1916,plain,
% 177.57/177.63 (~P9(f23(f29(a9)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.57/177.63 inference(scs_inference,[],[220,109,85,108,107,1845,1638,1822,1823,1413,1827,1840,1857,1675,1233,1856,589,1613,1614,760,1077,884,929,1800,1241,577,1681,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50,3,2,56,47])).
% 177.57/177.63 cnf(1924,plain,
% 177.57/177.63 (~P2(f27(a12))+P24(f27(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[235,220,109,85,108,107,1845,1638,1822,1823,1413,1827,1840,1857,1675,1233,1856,589,1613,1614,760,679,1077,884,929,1800,1241,577,1681,482,910,364,277,328,157,122,175,32,28,8,187,168,160,169,167,70,71,58,63,64,50,3,2,56,47,38,119,123,131,146])).
% 177.57/177.63 cnf(1936,plain,
% 177.57/177.63 (E(f23(f33(a2)),f23(f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5])).
% 177.57/177.63 cnf(1938,plain,
% 177.57/177.63 (E(f28(x19381,f33(a2),x19382),f28(x19381,f33(a22),x19382))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18])).
% 177.57/177.63 cnf(1939,plain,
% 177.57/177.63 (E(f28(f33(a2),x19391,x19392),f28(f33(a22),x19391,x19392))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18,17])).
% 177.57/177.63 cnf(1941,plain,
% 177.57/177.63 (E(f4(f33(a2),x19411),f4(f33(a22),x19411))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18,17,16,11])).
% 177.57/177.63 cnf(1942,plain,
% 177.57/177.63 (E(f10(f33(a2)),f10(f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18,17,16,11,4])).
% 177.57/177.63 cnf(1944,plain,
% 177.57/177.63 (E(f28(x19441,x19442,f33(a2)),f28(x19441,x19442,f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18,17,16,11,4,26,19])).
% 177.57/177.63 cnf(1945,plain,
% 177.57/177.63 (E(f24(x19451,f33(a2)),f24(x19451,f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1881,291,121,22,5,23,18,17,16,11,4,26,19,10])).
% 177.57/177.63 cnf(1948,plain,
% 177.57/177.63 (P7(x19481,f29(x19481))),
% 177.57/177.63 inference(rename_variables,[],[267])).
% 177.57/177.63 cnf(1950,plain,
% 177.57/177.63 (E(f29(f33(a2)),f29(f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[1881,1901,291,267,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8])).
% 177.57/177.63 cnf(1952,plain,
% 177.57/177.63 (~P10(a2,f27(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[1881,1901,1883,291,1194,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187])).
% 177.57/177.63 cnf(1956,plain,
% 177.57/177.63 (~P14(f29(f24(a22,a22)),f24(a22,a2))),
% 177.57/177.63 inference(scs_inference,[],[1881,1903,1901,1883,1751,291,1194,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169])).
% 177.57/177.63 cnf(1958,plain,
% 177.57/177.63 (P14(f23(f7(a11)),f7(a11))),
% 177.57/177.63 inference(scs_inference,[],[106,1881,1903,1901,1883,1751,291,1194,269,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167])).
% 177.57/177.63 cnf(1961,plain,
% 177.57/177.63 (P14(f24(a22,a22),f29(f24(a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[106,1881,1903,1901,1883,1751,291,1194,269,295,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70])).
% 177.57/177.63 cnf(1966,plain,
% 177.57/177.63 (P6(x19661,x19661)),
% 177.57/177.63 inference(rename_variables,[],[105])).
% 177.57/177.63 cnf(1967,plain,
% 177.57/177.63 (~E(f30(a1),a9)),
% 177.57/177.63 inference(scs_inference,[],[226,106,105,1881,1824,1903,1901,1883,1751,291,1194,269,597,1073,1559,295,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58])).
% 177.57/177.63 cnf(1968,plain,
% 177.57/177.63 (~E(f25(a12),a9)),
% 177.57/177.63 inference(scs_inference,[],[226,106,105,1966,1881,1824,1903,1901,1883,1892,1751,291,1194,269,597,1073,1559,295,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64])).
% 177.57/177.63 cnf(1970,plain,
% 177.57/177.63 (~E(f5(f27(a1)),a2)),
% 177.57/177.63 inference(scs_inference,[],[226,106,105,1966,1881,1824,1903,1901,1883,1892,1751,291,1194,269,597,1073,1559,581,295,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64,50])).
% 177.57/177.63 cnf(1971,plain,
% 177.57/177.63 (~E(a22,f26(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[226,106,105,1966,1881,1824,1903,1901,1913,1883,1892,1751,291,1194,269,597,1073,1559,581,295,1289,314,267,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64,50,3])).
% 177.57/177.63 cnf(1980,plain,
% 177.57/177.63 (~P2(f27(a12))+P28(f27(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[226,112,106,105,1966,1881,1824,1903,1901,1913,1008,1883,1892,1751,291,987,1194,269,597,1419,1073,1559,581,546,444,295,1289,314,267,1948,482,79,910,390,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64,50,3,2,56,47,150,59,55,149])).
% 177.57/177.63 cnf(1982,plain,
% 177.57/177.63 (~P2(f27(a12))+P12(f5(f27(a12)),f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[226,112,106,105,1966,1881,1824,1903,1901,1913,1008,1883,1892,1751,291,987,1194,269,597,1419,1073,1559,581,546,444,295,1289,314,267,1948,482,79,910,390,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64,50,3,2,56,47,150,59,55,149,161])).
% 177.57/177.63 cnf(1984,plain,
% 177.57/177.63 (~P2(f27(a12))+P27(f27(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[226,112,106,105,1966,1881,1824,1903,1901,1913,1008,1883,1892,1751,291,987,1194,269,597,1419,1073,1559,581,546,444,295,1289,314,267,1948,482,79,910,390,364,277,328,121,22,5,23,18,17,16,11,4,26,19,10,13,188,8,48,187,160,169,167,70,71,63,58,64,50,3,2,56,47,150,59,55,149,161,148])).
% 177.57/177.63 cnf(1994,plain,
% 177.57/177.63 (P2(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[1052,124])).
% 177.57/177.63 cnf(1996,plain,
% 177.57/177.63 (P15(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[1052,124,125])).
% 177.57/177.63 cnf(2000,plain,
% 177.57/177.63 (~P12(a22,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[84,384,1052,364,277,328,124,125,174,175])).
% 177.57/177.63 cnf(2002,plain,
% 177.57/177.63 (~P10(f23(f29(a9)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[84,384,1856,1052,364,277,328,74,76,110,124,125,174,175,187])).
% 177.57/177.63 cnf(2006,plain,
% 177.57/177.63 (P14(f23(f29(a9)),f29(a22))),
% 177.57/177.63 inference(scs_inference,[],[84,115,1303,384,1961,1856,1052,364,277,328,74,76,110,124,125,174,175,187,169,167])).
% 177.57/177.63 cnf(2009,plain,
% 177.57/177.63 (P7(a22,f29(f6(a22)))),
% 177.57/177.63 inference(scs_inference,[],[84,115,1303,384,1195,1961,1856,1052,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55])).
% 177.57/177.63 cnf(2011,plain,
% 177.57/177.63 (~E(a22,f25(a12))),
% 177.57/177.63 inference(scs_inference,[],[84,115,1303,384,1195,1961,1894,1856,1751,1052,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70])).
% 177.57/177.63 cnf(2012,plain,
% 177.57/177.63 (~P14(f29(f24(a2,a22)),f24(a2,a2))),
% 177.57/177.63 inference(scs_inference,[],[84,115,1303,1896,384,1195,1961,1894,1856,1751,296,1052,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70,71])).
% 177.57/177.63 cnf(2016,plain,
% 177.57/177.63 (E(f28(x20161,f33(a2),x20162),f28(x20161,f33(a22),x20162))),
% 177.57/177.63 inference(rename_variables,[],[1938])).
% 177.57/177.63 cnf(2017,plain,
% 177.57/177.63 (~P10(f23(f29(a9)),a1)),
% 177.57/177.63 inference(scs_inference,[],[84,115,1303,1896,384,1195,1382,1938,1961,1894,1856,243,1751,296,1052,1681,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70,71,63,58])).
% 177.57/177.63 cnf(2018,plain,
% 177.57/177.63 (P6(f28(x20181,f33(a2),x20182),f28(x20181,f33(a22),x20182))),
% 177.57/177.63 inference(scs_inference,[],[84,115,105,1303,1896,384,1195,1382,1938,2016,1961,1894,1856,243,1751,296,1052,1681,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70,71,63,58,64])).
% 177.57/177.63 cnf(2020,plain,
% 177.57/177.63 (E(f28(f33(a2),f33(a2),x20201),f28(f33(a22),f33(a22),x20201))),
% 177.57/177.63 inference(scs_inference,[],[84,115,105,1303,1896,384,1195,1382,1938,2016,1939,1961,1894,1856,243,1751,296,1052,1681,917,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70,71,63,58,64,3])).
% 177.57/177.63 cnf(2023,plain,
% 177.57/177.63 (~E(f29(a11),f7(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[84,115,105,1303,1896,384,1195,1382,1938,2016,1939,1961,1894,1898,1856,243,1751,296,1052,1681,917,267,364,277,328,74,76,110,124,125,174,175,187,169,167,55,70,71,63,58,64,3,56])).
% 177.57/177.63 cnf(2053,plain,
% 177.57/177.63 (~P9(f23(f29(a9)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[109,108,2002,292,446,516,364,277,328,128,183,34,29,180])).
% 177.57/177.63 cnf(2055,plain,
% 177.57/177.63 (P7(f23(f7(a11)),a11)),
% 177.57/177.63 inference(scs_inference,[],[109,108,304,2002,1958,292,446,516,364,277,328,128,183,34,29,180,188])).
% 177.57/177.63 cnf(2057,plain,
% 177.57/177.63 (~P10(a22,f27(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,304,2000,2002,1958,292,446,516,364,277,328,128,183,34,29,180,188,187])).
% 177.57/177.63 cnf(2061,plain,
% 177.57/177.63 (P16(f23(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,304,2000,2002,1958,292,1726,446,516,364,277,328,128,183,34,29,180,188,187,169,167])).
% 177.57/177.63 cnf(2067,plain,
% 177.57/177.63 (P14(f24(a22,a22),f29(f24(a2,a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,304,2000,2002,1942,1958,292,1726,1961,446,516,800,577,364,277,328,128,183,34,29,180,188,187,169,167,70,71])).
% 177.57/177.63 cnf(2070,plain,
% 177.57/177.63 (~P12(a9,f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,304,2000,2002,1942,1958,292,1726,1961,446,516,566,550,800,577,591,364,277,328,128,183,34,29,180,188,187,169,167,70,71,58,50])).
% 177.57/177.63 cnf(2071,plain,
% 177.57/177.63 (E(f28(f33(a2),f33(a2),f33(a2)),f28(f33(a22),f33(a22),f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,304,1944,2020,2000,2002,1942,1958,292,1726,1961,446,516,566,550,800,577,591,364,277,328,128,183,34,29,180,188,187,169,167,70,71,58,50,3])).
% 177.57/177.63 cnf(2072,plain,
% 177.57/177.63 (E(f28(x20721,x20722,f33(a2)),f28(x20721,x20722,f33(a22)))),
% 177.57/177.63 inference(rename_variables,[],[1944])).
% 177.57/177.63 cnf(2074,plain,
% 177.57/177.63 (P7(f10(f33(a2)),f29(f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,107,106,304,1944,2020,2000,1950,2002,1942,1958,292,1726,1961,446,516,566,550,800,577,591,364,277,328,128,183,34,29,180,188,187,169,167,70,71,58,50,3,56])).
% 177.57/177.63 cnf(2076,plain,
% 177.57/177.63 (E(f28(x20761,x20762,f33(a22)),f28(x20761,x20762,f33(a2)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,107,106,304,1944,2072,2020,2000,1950,2002,1942,1958,292,1726,1961,446,516,566,550,800,577,591,364,277,328,128,183,34,29,180,188,187,169,167,70,71,58,50,3,56,2])).
% 177.57/177.63 cnf(2077,plain,
% 177.57/177.63 (~P9(f23(f29(a22)),a1)),
% 177.57/177.63 inference(scs_inference,[],[109,108,107,106,304,1944,2072,2020,2000,1950,2002,1942,1958,292,1726,1961,446,516,566,245,550,800,577,591,1289,364,277,328,128,183,34,29,180,188,187,169,167,70,71,58,50,3,56,2,47])).
% 177.57/177.63 cnf(2087,plain,
% 177.57/177.63 (~P10(f23(f29(a22)),a1)),
% 177.57/177.63 inference(scs_inference,[],[2077,74,76,110,179])).
% 177.57/177.63 cnf(2095,plain,
% 177.57/177.63 (E(f23(f29(a2)),a22)),
% 177.57/177.63 inference(scs_inference,[],[534,1432,2061,2077,74,76,110,179,118,206,207,117])).
% 177.57/177.63 cnf(2099,plain,
% 177.57/177.63 (~P12(a9,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[534,1432,2061,2077,2070,602,314,74,76,110,179,118,206,207,117,183,51])).
% 177.57/177.63 cnf(2102,plain,
% 177.57/177.63 (P14(f23(f30(a12)),f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[106,2067,534,1432,2061,2077,2070,602,649,314,74,76,110,179,118,206,207,117,183,51,169,167])).
% 177.57/177.63 cnf(2105,plain,
% 177.57/177.63 (P14(f24(a2,a22),f29(f24(a2,a22)))),
% 177.57/177.63 inference(scs_inference,[],[106,2067,534,1432,2061,2077,2070,602,649,724,314,74,76,110,179,118,206,207,117,183,51,169,167,70])).
% 177.57/177.63 cnf(2110,plain,
% 177.57/177.63 (~E(f5(f27(a1)),a9)),
% 177.57/177.63 inference(scs_inference,[],[216,106,2067,534,1432,2061,2017,2077,2070,602,649,1958,1559,581,724,314,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50])).
% 177.57/177.63 cnf(2114,plain,
% 177.57/177.63 (~E(a9,f30(a12))),
% 177.57/177.63 inference(scs_inference,[],[216,106,2067,1889,534,1432,2061,1970,2017,2077,2070,1268,602,649,1958,1559,581,724,922,314,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2])).
% 177.57/177.63 cnf(2116,plain,
% 177.57/177.63 (P7(f4(x21161,f10(x21162)),f29(f32(x21161,a22)))),
% 177.57/177.63 inference(scs_inference,[],[216,106,2067,1889,534,1432,2061,2053,1970,2017,2077,2070,1268,968,602,649,1958,1478,1559,581,724,922,314,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2,47,208])).
% 177.57/177.63 cnf(2120,plain,
% 177.57/177.63 (~P9(f23(f29(a9)),a1)),
% 177.57/177.63 inference(scs_inference,[],[216,106,2067,1889,534,1432,2061,2053,1970,2017,2077,2070,1268,478,968,602,649,1958,1478,1559,581,724,922,314,910,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2,47,208,173,180])).
% 177.57/177.63 cnf(2122,plain,
% 177.57/177.63 (~E(a2,f32(f32(a11,a11),f32(a11,a11)))),
% 177.57/177.63 inference(scs_inference,[],[85,216,106,858,2067,1889,534,1432,2061,2053,1970,2017,2077,2070,1268,478,968,602,649,1958,1478,1559,581,724,922,314,910,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2,47,208,173,180,42])).
% 177.57/177.63 cnf(2123,plain,
% 177.57/177.63 (~P6(a11,f23(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[85,216,106,858,2067,1889,534,1432,2061,2053,1970,2017,2077,2070,1268,478,968,602,649,1958,1478,1376,1559,581,724,922,314,910,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2,47,208,173,180,42,64])).
% 177.57/177.63 cnf(2128,plain,
% 177.57/177.63 (E(f30(a13),x21281)+~P8(f31(a13),f32(f30(a13),f30(a13)),f30(a13))+~E(f28(f30(a13),f31(a13),f31(a13)),f28(x21281,x21282,x21283))),
% 177.57/177.63 inference(scs_inference,[],[85,216,88,114,106,858,2067,1889,534,1056,1432,2061,2053,1016,1970,2017,2077,2070,1268,478,968,602,649,1958,1478,1376,1559,581,724,922,314,910,390,74,76,110,179,118,206,207,117,183,51,169,167,70,71,58,50,3,56,2,47,208,173,180,42,64,192,215,214])).
% 177.57/177.63 cnf(2133,plain,
% 177.57/177.63 (P9(f5(a1),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[388,364,277,328,179])).
% 177.57/177.63 cnf(2138,plain,
% 177.57/177.63 (E(f24(f23(a2),x21381),f24(f23(a22),x21381))),
% 177.57/177.63 inference(scs_inference,[],[300,388,364,277,328,179,21,20,15,9])).
% 177.57/177.63 cnf(2141,plain,
% 177.57/177.63 (E(f4(x21411,f23(a2)),f4(x21411,f23(a22)))),
% 177.57/177.63 inference(scs_inference,[],[300,388,364,277,328,179,21,20,15,9,24,14,12])).
% 177.57/177.63 cnf(2147,plain,
% 177.57/177.63 (P14(f17(a12),f29(f30(a12)))),
% 177.57/177.63 inference(scs_inference,[],[115,2105,1669,300,388,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167])).
% 177.57/177.63 cnf(2153,plain,
% 177.57/177.63 (P6(x21531,x21531)),
% 177.57/177.63 inference(rename_variables,[],[105])).
% 177.57/177.63 cnf(2158,plain,
% 177.57/177.63 (~P10(f23(f29(a2)),a1)),
% 177.57/177.63 inference(scs_inference,[],[243,115,105,2153,2105,2012,1669,2076,1502,2095,300,1567,388,295,800,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58])).
% 177.57/177.63 cnf(2159,plain,
% 177.57/177.63 (~E(f30(f27(a1)),f23(f29(a9)))),
% 177.57/177.63 inference(scs_inference,[],[243,115,105,2153,2105,2012,1669,2076,1502,2095,300,1567,1856,388,1504,295,800,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50])).
% 177.57/177.63 cnf(2160,plain,
% 177.57/177.63 (E(f28(f7(a22),f7(a22),f7(a22)),f28(f7(a2),f7(a22),f7(a2)))),
% 177.57/177.63 inference(scs_inference,[],[243,115,105,2153,2105,2012,1669,2076,1861,1502,2095,300,1610,1567,1856,388,1504,295,800,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50,3])).
% 177.57/177.63 cnf(2164,plain,
% 177.57/177.63 (E(f27(a13),f28(f30(a13),f31(a13),f33(a13)))),
% 177.57/177.63 inference(scs_inference,[],[243,115,105,2153,2105,2012,1669,2076,1861,1769,1502,2095,300,1610,1567,1856,1515,388,1504,295,800,267,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50,3,56,2])).
% 177.57/177.63 cnf(2165,plain,
% 177.57/177.63 (~E(f30(a1),a22)),
% 177.57/177.63 inference(scs_inference,[],[243,245,115,105,2153,2105,2012,1669,2076,1861,1769,1502,2095,300,1610,1567,1856,1515,388,1504,342,295,800,267,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50,3,56,2,47])).
% 177.57/177.63 cnf(2166,plain,
% 177.57/177.63 (~P3(f27(a12))+P19(f31(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[243,245,115,105,2153,2105,2012,1669,2076,1861,1769,1502,2095,300,1610,480,1567,1856,1515,388,1504,342,295,800,267,910,364,277,328,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50,3,56,2,47,154])).
% 177.57/177.63 cnf(2168,plain,
% 177.57/177.63 (P7(f25(f27(a1)),f29(f30(a1)))),
% 177.57/177.63 inference(scs_inference,[],[243,245,115,105,2153,1272,2105,2012,1669,2076,1861,1769,1502,2095,300,1610,480,1567,1856,1515,388,1504,342,295,800,267,910,364,277,328,74,76,110,179,21,20,15,9,24,14,12,7,6,25,169,167,70,63,71,64,58,50,3,56,2,47,154,190])).
% 177.57/177.63 cnf(2182,plain,
% 177.57/177.63 (P7(f7(f25(a12)),f29(f25(a12)))),
% 177.57/177.63 inference(scs_inference,[],[657,157])).
% 177.57/177.63 cnf(2184,plain,
% 177.57/177.63 (P5(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[1994,657,157,122])).
% 177.57/177.63 cnf(2186,plain,
% 177.57/177.63 (~P9(a9,a12)),
% 177.57/177.63 inference(scs_inference,[],[86,113,1994,657,75,80,157,122,176])).
% 177.57/177.63 cnf(2188,plain,
% 177.57/177.63 (~P10(a9,a12)),
% 177.57/177.63 inference(scs_inference,[],[86,113,1994,657,75,80,157,122,176,177])).
% 177.57/177.63 cnf(2190,plain,
% 177.57/177.63 (P3(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[86,113,1994,657,75,80,157,122,176,177,119])).
% 177.57/177.63 cnf(2194,plain,
% 177.57/177.63 (E(f24(f23(a2),x21941),f24(f23(a22),x21941))),
% 177.57/177.63 inference(rename_variables,[],[2138])).
% 177.57/177.63 cnf(2197,plain,
% 177.57/177.63 (E(f24(f23(a2),x21971),f24(f23(a22),x21971))),
% 177.57/177.63 inference(rename_variables,[],[2138])).
% 177.57/177.63 cnf(2201,plain,
% 177.57/177.63 (~P7(f29(f30(a1)),f17(a1))),
% 177.57/177.63 inference(scs_inference,[],[86,108,113,736,2138,2194,1994,2102,1730,1827,657,914,314,75,80,157,122,176,177,119,51,32,28,169,167])).
% 177.57/177.63 cnf(2203,plain,
% 177.57/177.63 (P14(a22,f29(a2))),
% 177.57/177.63 inference(scs_inference,[],[86,108,113,736,2138,2194,1994,2102,1730,1827,657,914,2095,721,314,75,80,157,122,176,177,119,51,32,28,169,167,70])).
% 177.57/177.63 cnf(2205,plain,
% 177.57/177.63 (P14(f24(a2,a22),f29(f24(a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[86,108,113,736,2138,2194,1994,2102,1730,1827,657,914,2095,2105,884,721,314,75,80,157,122,176,177,119,51,32,28,169,167,70,71])).
% 177.57/177.63 cnf(2210,plain,
% 177.57/177.63 (~P12(f23(f29(a2)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[86,108,105,113,736,2138,2194,2197,1994,2102,1730,1827,657,914,2095,2105,2002,2000,884,721,388,314,75,80,157,122,176,177,119,51,32,28,169,167,70,71,64,58,50])).
% 177.57/177.63 cnf(2211,plain,
% 177.57/177.63 (E(f24(f23(a2),f33(a2)),f24(f23(a22),f33(a22)))),
% 177.57/177.63 inference(scs_inference,[],[86,108,105,113,736,2138,2194,2197,1994,2102,1945,1730,1827,657,914,2095,2105,2002,2000,884,721,388,314,75,80,157,122,176,177,119,51,32,28,169,167,70,71,64,58,50,3])).
% 177.57/177.63 cnf(2232,plain,
% 177.57/177.63 (P4(f27(f27(a15)))),
% 177.57/177.63 inference(scs_inference,[],[2184,121])).
% 177.57/177.63 cnf(2236,plain,
% 177.57/177.63 (E(f28(x22361,f28(a2,a2,a2),x22362),f28(x22361,f28(a22,a22,a22),x22362))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18])).
% 177.57/177.63 cnf(2237,plain,
% 177.57/177.63 (E(f23(f28(a2,a2,a2)),f23(f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5])).
% 177.57/177.63 cnf(2238,plain,
% 177.57/177.63 (E(f4(f28(a2,a2,a2),x22381),f4(f28(a22,a22,a22),x22381))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5,11])).
% 177.57/177.63 cnf(2239,plain,
% 177.57/177.63 (E(f28(x22391,x22392,f28(a2,a2,a2)),f28(x22391,x22392,f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5,11,19])).
% 177.57/177.63 cnf(2240,plain,
% 177.57/177.63 (E(f28(f28(a2,a2,a2),x22401,x22402),f28(f28(a22,a22,a22),x22401,x22402))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5,11,19,17])).
% 177.57/177.63 cnf(2242,plain,
% 177.57/177.63 (E(f10(f28(a2,a2,a2)),f10(f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5,11,19,17,16,4])).
% 177.57/177.63 cnf(2244,plain,
% 177.57/177.63 (E(f24(x22441,f28(a2,a2,a2)),f24(x22441,f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[2184,555,121,23,22,18,5,11,19,17,16,4,26,10])).
% 177.57/177.63 cnf(2248,plain,
% 177.57/177.63 (P8(f24(f17(a2),f7(a22)),f17(a22),f7(a2))),
% 177.57/177.63 inference(scs_inference,[],[109,108,2141,1858,2184,555,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28])).
% 177.57/177.63 cnf(2250,plain,
% 177.57/177.63 (E(f29(f28(a2,a2,a2)),f29(f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,2141,1858,2184,555,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8])).
% 177.57/177.63 cnf(2252,plain,
% 177.57/177.63 (~P14(f29(f24(a22,a22)),f24(a2,a22))),
% 177.57/177.63 inference(scs_inference,[],[109,108,2141,2205,1858,2184,2186,555,912,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169])).
% 177.57/177.63 cnf(2254,plain,
% 177.57/177.63 (P14(f23(f26(a1)),f26(a1))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,2141,2205,1858,2184,2186,555,873,912,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167])).
% 177.57/177.63 cnf(2257,plain,
% 177.57/177.63 (P14(a22,f29(f7(a2)))),
% 177.57/177.63 inference(scs_inference,[],[109,108,106,2141,2205,1858,2184,2186,555,1901,873,912,917,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167,70])).
% 177.57/177.63 cnf(2262,plain,
% 177.57/177.63 (~P6(f29(x22621),f23(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[226,109,108,106,2141,2205,1858,2184,2087,2186,555,1901,873,2102,1077,2095,338,912,917,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167,70,71,58,64])).
% 177.57/177.63 cnf(2268,plain,
% 177.57/177.63 (E(f4(x22681,f23(a22)),f4(x22681,f23(a2)))),
% 177.57/177.63 inference(scs_inference,[],[247,226,109,108,106,2116,2141,2205,1858,2184,2011,2087,2186,555,1901,873,2102,1077,1241,2095,338,922,912,917,390,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167,70,71,58,64,50,3,56,2])).
% 177.57/177.63 cnf(2270,plain,
% 177.57/177.63 (~P2(f27(a12))+P26(f27(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[247,226,109,108,106,2116,2141,2205,1858,2184,2011,2087,2120,2186,555,1901,873,2102,498,1077,1241,2095,338,922,912,917,482,910,390,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167,70,71,58,64,50,3,56,2,47,147])).
% 177.57/177.63 cnf(2279,plain,
% 177.57/177.63 (~P2(f27(a12))+P13(f6(f27(a12)),f27(a12))),
% 177.57/177.63 inference(scs_inference,[],[247,226,109,108,111,106,2116,2018,2141,2205,1858,2071,2184,2011,2087,2120,2186,555,1901,873,2102,1697,498,1077,1419,1241,2095,338,762,922,912,917,482,910,390,121,23,22,18,5,11,19,17,16,4,26,10,13,32,28,8,48,169,167,70,71,58,64,50,3,56,2,47,147,59,63,204,149,165])).
% 177.57/177.63 cnf(2287,plain,
% 177.57/177.63 (P15(f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[78,125])).
% 177.57/177.63 cnf(2289,plain,
% 177.57/177.63 (P2(f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[78,125,124])).
% 177.57/177.63 cnf(2295,plain,
% 177.57/177.63 (P8(f24(f17(a2),f7(a22)),f17(a22),f7(a22))),
% 177.57/177.63 inference(scs_inference,[],[500,2254,2248,570,78,285,125,124,174,188,30])).
% 177.57/177.63 cnf(2296,plain,
% 177.57/177.63 (~P14(f29(f30(a12)),f17(a12))),
% 177.57/177.63 inference(scs_inference,[],[500,2147,2254,2248,570,78,285,125,124,174,188,30,169])).
% 177.57/177.63 cnf(2300,plain,
% 177.57/177.63 (P14(f8(a12),f29(f30(a12)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,500,1936,2147,2254,2248,570,78,285,125,124,174,188,30,169,55,167])).
% 177.57/177.63 cnf(2303,plain,
% 177.57/177.63 (~E(a22,f30(a16))),
% 177.57/177.63 inference(scs_inference,[],[115,106,500,1936,2147,2254,2248,570,1293,1751,78,285,125,124,174,188,30,169,55,167,70])).
% 177.57/177.63 cnf(2308,plain,
% 177.57/177.63 (E(f28(x23081,f28(a2,a2,a2),f28(a2,a2,a2)),f28(x23081,f28(a22,a22,a22),f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[247,115,106,105,500,2236,2239,2262,1936,1843,2147,2254,2248,570,1293,1693,1751,1504,78,285,125,124,174,188,30,169,55,167,70,71,64,50,3])).
% 177.57/177.63 cnf(2312,plain,
% 177.57/177.63 (~E(f5(a1),f23(f29(a22)))),
% 177.57/177.63 inference(scs_inference,[],[247,115,106,105,500,2236,2239,1905,2262,1936,1843,2147,2254,2248,2133,570,1578,1293,1693,1751,1504,78,285,125,124,174,188,30,169,55,167,70,71,64,50,3,2,47])).
% 177.57/177.63 cnf(2317,plain,
% 177.57/177.63 (~E(f26(a12),a9)),
% 177.57/177.63 inference(scs_inference,[],[247,115,112,106,105,500,2236,2239,1905,2262,1936,1843,2147,2254,2248,2133,2188,570,1578,1293,2164,1693,1464,1751,440,1504,78,314,285,79,125,124,174,188,30,169,55,167,70,71,64,50,3,2,47,161,39,59,58])).
% 177.57/177.63 cnf(2323,plain,
% 177.57/177.63 (P2(f28(f30(a13),f31(a13),f33(a13)))),
% 177.57/177.63 inference(scs_inference,[],[2289,2164,31])).
% 177.57/177.63 cnf(2326,plain,
% 177.57/177.63 (~P10(f23(f29(a2)),f27(f27(a1)))),
% 177.57/177.63 inference(scs_inference,[],[2210,2289,893,2164,364,277,328,31,128,187])).
% 177.57/177.63 cnf(2328,plain,
% 177.57/177.63 (~P14(f29(f30(a12)),f8(a12))),
% 177.57/177.63 inference(scs_inference,[],[2210,2300,2289,893,2164,364,277,328,31,128,187,169])).
% 177.57/177.63 cnf(2330,plain,
% 177.57/177.63 (P7(a22,f29(f24(a2,x23301)))),
% 177.57/177.63 inference(scs_inference,[],[887,2210,2300,2289,893,2164,917,364,277,328,31,128,187,169,55])).
% 177.57/177.63 cnf(2332,plain,
% 177.57/177.63 (~P7(f29(f30(a12)),f17(a12))),
% 177.57/177.63 inference(scs_inference,[],[887,2210,2296,2300,2289,893,1675,2164,917,364,277,328,31,128,187,169,55,167])).
% 177.57/177.63 cnf(2334,plain,
% 177.57/177.63 (P14(f10(f28(a22,a22,a22)),f29(f28(a2,a2,a2)))),
% 177.57/177.63 inference(scs_inference,[],[887,2242,2210,2296,2300,2289,893,1675,2164,577,917,364,277,328,31,128,187,169,55,167,70])).
% 177.57/177.63 cnf(2339,plain,
% 177.57/177.63 (~P12(f23(f29(a2)),a1)),
% 177.57/177.63 inference(scs_inference,[],[247,105,2240,887,2242,2210,2296,2300,2289,2203,893,1675,2164,297,2095,577,917,364,277,328,31,128,187,169,55,167,70,71,64,50])).
% 177.57/177.63 cnf(2343,plain,
% 177.57/177.63 (E(f28(f28(a2,a2,a2),x23431,x23432),f28(f28(a22,a22,a22),x23431,x23432))),
% 177.57/177.63 inference(rename_variables,[],[2240])).
% 177.57/177.63 cnf(2345,plain,
% 177.57/177.63 (E(f28(f28(a22,a22,a22),x23451,x23452),f28(f28(a2,a2,a2),x23451,x23452))),
% 177.57/177.63 inference(scs_inference,[],[247,105,2240,2343,887,2308,2242,2210,2296,2300,2289,2203,893,1675,2164,1368,297,2095,577,917,267,364,277,328,31,128,187,169,55,167,70,71,64,50,56,3,2])).
% 177.57/177.63 cnf(2361,plain,
% 177.57/177.63 (P8(f33(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.57/177.63 inference(scs_inference,[],[777,206])).
% 177.57/177.63 cnf(2369,plain,
% 177.57/177.63 (~P14(f29(f30(a16)),f7(f17(a16)))),
% 177.57/177.63 inference(scs_inference,[],[249,777,1499,1020,279,1378,269,206,207,183,33,188])).
% 177.57/177.63 cnf(2376,plain,
% 177.57/177.63 (P7(f23(x23761),x23761)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(2377,plain,
% 177.57/177.63 (P14(f23(f17(a16)),f17(a16))),
% 177.57/177.63 inference(scs_inference,[],[249,108,106,2376,777,1499,1020,2332,2254,279,1378,269,324,206,207,183,33,188,30,169,55,167])).
% 177.57/177.63 cnf(2380,plain,
% 177.57/177.63 (P14(a22,f29(f28(a2,a2,a2)))),
% 177.57/177.63 inference(scs_inference,[],[249,108,106,2376,777,1499,1020,2334,2332,2254,279,1378,269,324,917,206,207,183,33,188,30,169,55,167,70])).
% 177.57/177.63 cnf(2382,plain,
% 177.57/177.63 (~E(f17(a1),a22)),
% 177.57/177.63 inference(scs_inference,[],[249,216,108,106,2376,777,1499,1020,2334,2332,2254,279,1378,269,324,1781,917,206,207,183,33,188,30,169,55,167,70,71])).
% 177.57/177.63 cnf(2390,plain,
% 177.57/177.63 (P2(f28(f30(a1),f33(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[249,216,108,106,2376,777,2023,2345,1499,1020,2334,2332,2122,2330,2339,2254,279,1378,779,269,324,748,1781,884,1241,265,917,206,207,183,33,188,30,169,55,167,70,71,50,56,3,2,65,209])).
% 177.57/177.63 cnf(2392,plain,
% 177.57/177.63 (~P10(f23(f29(a2)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[249,216,108,106,2376,777,2023,2345,1499,1020,2334,2332,2122,2330,2339,2254,279,1378,779,269,324,748,1781,884,1241,265,917,74,76,110,206,207,183,33,188,30,169,55,167,70,71,50,56,3,2,65,209,187])).
% 177.57/177.63 cnf(2411,plain,
% 177.57/177.63 (E(f4(x24111,f5(a2)),f4(x24111,f5(a22)))),
% 177.57/177.63 inference(scs_inference,[],[2361,282,779,748,210,21,24,20,15,12])).
% 177.57/177.63 cnf(2412,plain,
% 177.57/177.63 (E(f24(f5(a2),x24121),f24(f5(a22),x24121))),
% 177.57/177.63 inference(scs_inference,[],[2361,282,779,748,210,21,24,20,15,12,9])).
% 177.57/177.63 cnf(2421,plain,
% 177.57/177.63 (~P9(f23(f29(a2)),f27(a1))),
% 177.57/177.63 inference(scs_inference,[],[2361,2392,282,326,560,779,748,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180])).
% 177.57/177.63 cnf(2423,plain,
% 177.57/177.63 (~P12(f23(f29(a2)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[2361,2392,2210,282,326,560,779,748,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51])).
% 177.57/177.63 cnf(2429,plain,
% 177.57/177.63 (P7(f23(x24291),x24291)),
% 177.57/177.63 inference(rename_variables,[],[106])).
% 177.57/177.63 cnf(2430,plain,
% 177.57/177.63 (P14(f28(a2,x24301,x24302),f29(f28(a22,x24301,x24302)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,667,2237,2361,2377,2392,2257,2210,282,326,560,779,748,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167])).
% 177.57/177.63 cnf(2433,plain,
% 177.57/177.63 (~E(f5(f27(a1)),f23(f29(a2)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,667,2237,2361,2377,2392,2257,2210,282,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50])).
% 177.57/177.63 cnf(2434,plain,
% 177.57/177.63 (P7(f23(f28(x24341,a2,x24342)),f28(x24341,a22,x24342))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,667,2237,2361,2377,2392,2257,2210,282,287,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56])).
% 177.57/177.63 cnf(2436,plain,
% 177.57/177.63 (E(f4(f28(a2,a2,a2),f23(a22)),f4(f28(a22,a22,a22),f23(a2)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,667,2237,2361,2377,2392,2257,2238,2268,2210,282,287,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56,3])).
% 177.57/177.63 cnf(2439,plain,
% 177.57/177.63 (E(f28(f7(a2),f7(a22),f7(a2)),f28(f7(a22),f7(a22),f7(a22)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,667,2160,2237,2361,2377,2392,2257,2238,2268,2210,282,287,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56,3,2])).
% 177.57/177.63 cnf(2441,plain,
% 177.57/177.63 (~P9(f23(f29(a2)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,667,2160,2237,2361,2377,2392,2257,2238,2268,354,2210,282,287,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56,3,2,57,48])).
% 177.57/177.63 cnf(2444,plain,
% 177.57/177.63 (P14(a22,f29(f28(a22,a22,a22)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,105,667,2160,1817,2237,2361,2377,2392,2257,2380,2238,2268,354,2210,2250,282,287,326,560,779,748,581,314,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56,3,2,57,48,63,71])).
% 177.57/177.63 cnf(2447,plain,
% 177.57/177.63 (~P2(f27(a12))+~P12(x24471,f27(a12))+P10(x24471,f27(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[115,106,2429,105,667,2160,1817,2237,2361,2377,2392,2257,2380,2238,2268,354,2210,2250,282,287,326,560,779,748,581,77,314,482,910,364,277,328,210,21,24,20,15,12,9,6,183,14,7,25,182,180,51,160,169,55,167,50,56,3,2,57,48,63,71,189,185])).
% 177.57/177.63 cnf(2453,plain,
% 177.57/177.63 (P7(f7(f32(a11,a11)),f29(f32(a11,a11)))),
% 177.57/177.63 inference(scs_inference,[],[322,157])).
% 177.57/177.63 cnf(2457,plain,
% 177.57/177.63 (P3(f28(f30(a13),f31(a13),f33(a13)))),
% 177.57/177.63 inference(scs_inference,[],[2323,322,157,122,119])).
% 177.57/177.63 cnf(2459,plain,
% 177.57/177.63 (~P14(f29(f28(a22,x24591,x24592)),f28(a2,x24591,x24592))),
% 177.57/177.63 inference(scs_inference,[],[2323,2430,322,157,122,119,169])).
% 177.57/177.63 cnf(2461,plain,
% 177.57/177.63 (P7(f23(f28(a22,a22,a22)),f28(a2,a22,a2))),
% 177.57/177.63 inference(scs_inference,[],[2323,2430,2434,2237,322,157,122,119,169,55])).
% 177.57/177.63 cnf(2463,plain,
% 177.57/177.63 (~P7(f29(f30(a12)),f8(a12))),
% 177.57/177.63 inference(scs_inference,[],[2323,2430,2434,2328,2237,322,446,157,122,119,169,55,167])).
% 177.57/177.63 cnf(2466,plain,
% 177.57/177.63 (~P14(f29(f28(a22,a22,a22)),f28(a2,a2,a2))),
% 177.57/177.63 inference(scs_inference,[],[2323,2430,2434,2328,2237,431,2250,322,446,157,122,119,169,55,167,70,71])).
% 177.57/177.63 cnf(2468,plain,
% 177.57/177.63 (E(f4(f33(a2),f5(a2)),f4(f33(a22),f5(a22)))),
% 177.57/177.63 inference(scs_inference,[],[2323,2411,2430,2434,2328,1941,2237,431,2250,322,446,157,122,119,169,55,167,70,71,3])).
% 177.57/177.63 cnf(2476,plain,
% 177.57/177.63 (P3(f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[2323,1968,2411,2430,2434,2328,1941,573,2237,1769,431,2250,322,446,1091,267,157,122,119,169,55,167,70,71,3,56,2,519,38,37])).
% 177.57/177.63 cnf(2477,plain,
% 177.57/177.63 (P5(f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[2323,1968,2411,2430,2434,2328,1941,573,2237,1769,431,2250,322,446,1091,267,157,122,119,169,55,167,70,71,3,56,2,519,38,37,46])).
% 177.57/177.63 cnf(2478,plain,
% 177.57/177.63 (~P25(f28(f30(a1),f33(a1),f33(a1)))),
% 177.57/177.63 inference(scs_inference,[],[2323,1968,2411,2430,2434,2328,1941,573,2237,2361,1769,431,2250,322,446,893,1091,779,748,267,157,122,119,169,55,167,70,71,3,56,2,519,38,37,46,215])).
% 177.57/177.63 cnf(2484,plain,
% 177.57/177.63 (~P5(f27(a12))+P19(f33(f27(a12)))),
% 177.57/177.63 inference(scs_inference,[],[1356,2323,1968,2411,2430,2434,2439,2328,450,1941,573,2237,2361,1266,1769,431,2250,322,446,893,1091,779,748,267,910,157,122,119,169,55,167,70,71,3,56,2,519,38,37,46,215,193,212,214,153])).
% 177.57/177.63 cnf(2494,plain,
% 177.57/177.63 (P4(f27(a13))),
% 177.57/177.63 inference(scs_inference,[],[2457,2476,2477,127,126,120,121])).
% 177.57/177.63 cnf(2497,plain,
% 177.57/177.63 (E(f28(x24971,f31(a2),x24972),f28(x24971,f31(a22),x24972))),
% 177.57/177.63 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18])).
% 177.57/177.63 cnf(2498,plain,
% 177.57/177.63 (E(f4(f31(a2),x24981),f4(f31(a22),x24981))),
% 177.57/177.63 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11])).
% 177.57/177.63 cnf(2500,plain,
% 177.57/177.63 (E(f28(x25001,x25002,f31(a2)),f28(x25001,x25002,f31(a22)))),
% 177.57/177.63 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11,22,19])).
% 177.57/177.63 cnf(2501,plain,
% 177.57/177.63 (E(f28(f31(a2),x25011,x25012),f28(f31(a22),x25011,x25012))),
% 177.57/177.64 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11,22,19,17])).
% 177.57/177.64 cnf(2502,plain,
% 177.57/177.64 (E(f23(f31(a2)),f23(f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11,22,19,17,5])).
% 177.57/177.64 cnf(2503,plain,
% 177.57/177.64 (E(f10(f31(a2)),f10(f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11,22,19,17,5,4])).
% 177.57/177.64 cnf(2506,plain,
% 177.57/177.64 (E(f24(x25061,f31(a2)),f24(x25061,f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[2457,2476,2477,289,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10])).
% 177.57/177.64 cnf(2508,plain,
% 177.57/177.64 (P11(f4(f7(a22),f27(a22)),f7(a2),f27(a2))),
% 177.57/177.64 inference(scs_inference,[],[109,2457,1910,2476,2477,289,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32])).
% 177.57/177.64 cnf(2510,plain,
% 177.57/177.64 (~P12(a2,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.64 inference(scs_inference,[],[109,2457,1910,2476,2477,289,1883,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51])).
% 177.57/177.64 cnf(2511,plain,
% 177.57/177.64 (P8(f4(f7(a22),f27(a22)),f7(a2),f27(a2))),
% 177.57/177.64 inference(scs_inference,[],[251,109,2457,1910,2476,2477,289,1883,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28])).
% 177.57/177.64 cnf(2513,plain,
% 177.57/177.64 (E(f29(f31(a2)),f29(f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[251,109,2457,1910,2476,2477,289,1883,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8])).
% 177.57/177.64 cnf(2514,plain,
% 177.57/177.64 (P14(f23(f25(a1)),f25(a1))),
% 177.57/177.64 inference(scs_inference,[],[251,109,106,2457,1910,2476,2477,289,1883,516,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8,167])).
% 177.57/177.64 cnf(2515,plain,
% 177.57/177.64 (P7(f23(x25151),x25151)),
% 177.57/177.64 inference(rename_variables,[],[106])).
% 177.57/177.64 cnf(2517,plain,
% 177.57/177.64 (~E(f23(f8(a12)),f29(f30(a12)))),
% 177.57/177.64 inference(scs_inference,[],[251,109,106,2515,2457,1910,2463,2476,2477,289,1883,516,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8,167,55])).
% 177.57/177.64 cnf(2519,plain,
% 177.57/177.64 (P14(f28(a2,a22,x25191),f29(f28(a22,a2,x25191)))),
% 177.57/177.64 inference(scs_inference,[],[251,109,106,2515,2457,1910,2463,2476,2477,2430,289,1883,516,287,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8,167,55,70])).
% 177.57/177.64 cnf(2524,plain,
% 177.57/177.64 (~E(f5(a1),f23(f29(a2)))),
% 177.57/177.64 inference(scs_inference,[],[251,226,109,106,2515,2457,1910,2463,2476,2477,2430,2377,289,1883,2339,516,287,344,314,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8,167,55,70,71,50])).
% 177.57/177.64 cnf(2529,plain,
% 177.57/177.64 (~P4(a15)+P7(f17(a15),f29(f30(a15)))),
% 177.57/177.64 inference(scs_inference,[],[251,226,109,112,106,2515,2457,2303,1818,1910,2461,2463,2476,2477,2430,2377,289,1883,2339,516,287,344,286,314,390,127,126,120,121,23,18,11,22,19,17,5,4,26,16,10,13,32,51,28,8,167,55,70,71,50,3,56,2,178])).
% 177.57/177.64 cnf(2549,plain,
% 177.57/177.64 (P15(f27(f27(a13)))),
% 177.57/177.64 inference(scs_inference,[],[2289,125])).
% 177.57/177.64 cnf(2551,plain,
% 177.57/177.64 (P2(f27(f27(a13)))),
% 177.57/177.64 inference(scs_inference,[],[2289,125,124])).
% 177.57/177.64 cnf(2553,plain,
% 177.57/177.64 (P11(f24(x25531,f32(a2,x25532)),x25531,f32(a22,x25532))),
% 177.57/177.64 inference(scs_inference,[],[249,299,2289,125,124,34])).
% 177.57/177.64 cnf(2554,plain,
% 177.57/177.64 (P11(f24(x25541,x25542),x25541,x25542)),
% 177.57/177.64 inference(rename_variables,[],[249])).
% 177.57/177.64 cnf(2557,plain,
% 177.57/177.64 (P8(f4(f32(a2,x25571),x25572),f32(a22,x25571),x25572)),
% 177.57/177.64 inference(scs_inference,[],[249,251,2453,299,2289,125,124,34,174,29])).
% 177.57/177.64 cnf(2558,plain,
% 177.57/177.64 (P8(f4(x25581,x25582),x25581,x25582)),
% 177.57/177.64 inference(rename_variables,[],[251])).
% 177.57/177.64 cnf(2563,plain,
% 177.57/177.64 (~P14(f29(f28(a22,a2,x25631)),f28(a2,a22,x25631))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,2453,2498,2506,2519,299,2289,125,124,34,174,29,32,28,169])).
% 177.57/177.64 cnf(2565,plain,
% 177.57/177.64 (P14(f7(f32(a11,a11)),f29(f32(a11,a11)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,115,2453,2498,2506,2519,299,2289,125,124,34,174,29,32,28,169,167])).
% 177.57/177.64 cnf(2570,plain,
% 177.57/177.64 (P14(a2,f29(f28(a22,a22,a22)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,115,106,2453,2498,2506,2502,2519,2444,299,2289,390,125,124,34,174,29,32,28,169,167,55,70])).
% 177.57/177.64 cnf(2571,plain,
% 177.57/177.64 (~P14(f29(f28(a22,a22,x25711)),f28(a2,a2,x25711))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,115,106,2453,2459,2498,2506,2502,2519,2444,299,2289,287,390,125,124,34,174,29,32,28,169,167,55,70,71])).
% 177.57/177.64 cnf(2574,plain,
% 177.57/177.64 (~P12(a22,f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,115,106,2453,2459,2498,2506,2502,2519,2510,2444,299,2289,287,390,125,124,34,174,29,32,28,169,167,55,70,71,50])).
% 177.57/177.64 cnf(2575,plain,
% 177.57/177.64 (E(f28(x25751,f31(a2),f31(a2)),f28(x25751,f31(a22),f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,115,106,2453,2497,2500,2459,2498,2506,2502,2519,2510,2444,299,2289,287,390,125,124,34,174,29,32,28,169,167,55,70,71,50,3])).
% 177.57/177.64 cnf(2578,plain,
% 177.57/177.64 (P7(f10(f31(a2)),f29(f31(a22)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2497,2500,2459,2498,2506,2502,2513,2519,2510,2444,299,2289,287,390,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56])).
% 177.57/177.64 cnf(2580,plain,
% 177.57/177.64 (~E(f23(f29(a9)),f25(f27(a1)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,299,2289,287,390,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2])).
% 177.57/177.64 cnf(2581,plain,
% 177.57/177.64 (~P3(f27(a1))+P18(f31(f27(a1)),f30(f27(a1)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,358,299,2289,287,390,328,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2,171])).
% 177.57/177.64 cnf(2583,plain,
% 177.57/177.64 (~P10(f23(f29(a2)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,2392,358,299,2289,287,314,390,328,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2,171,59])).
% 177.57/177.64 cnf(2584,plain,
% 177.57/177.64 (~E(f30(f27(a1)),f23(f29(a2)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,2392,358,299,2289,287,1239,314,390,328,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2,171,59,58])).
% 177.57/177.64 cnf(2585,plain,
% 177.57/177.64 (~E(f26(f27(a1)),f23(f29(a2)))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,106,2453,2421,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,2392,358,299,2289,287,1478,1239,314,390,328,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2,171,59,58,47])).
% 177.57/177.64 cnf(2590,plain,
% 177.57/177.64 (~P2(f27(a12))+P9(f30(f27(a12)),f27(a12))),
% 177.57/177.64 inference(scs_inference,[],[249,2554,251,2558,107,115,112,106,2453,2421,2497,2500,2459,2498,2506,1909,2502,2513,2519,2510,2444,2392,358,299,2289,287,1478,1239,314,79,482,390,910,328,125,124,34,174,29,32,28,169,167,55,70,71,50,3,56,2,171,59,58,47,205,146,162])).
% 177.57/177.64 cnf(2602,plain,
% 177.57/177.64 (P11(f4(f7(a22),f27(a22)),f7(a2),f27(a22))),
% 177.57/177.64 inference(scs_inference,[],[2508,602,290,128,34])).
% 177.57/177.64 cnf(2607,plain,
% 177.57/177.64 (~E(f10(x26071),f32(f5(a1),f5(a1)))),
% 177.57/177.64 inference(scs_inference,[],[104,1724,2508,2511,2570,602,285,290,267,128,34,29,188,42])).
% 177.57/177.64 cnf(2608,plain,
% 177.57/177.64 (P8(f4(f7(a22),f27(a22)),f7(a2),f27(a22))),
% 177.57/177.64 inference(scs_inference,[],[104,1724,2508,2511,2570,602,285,290,267,128,34,29,188,42,30])).
% 177.57/177.64 cnf(2609,plain,
% 177.57/177.64 (~P14(f29(f32(a11,a11)),f7(f32(a11,a11)))),
% 177.57/177.64 inference(scs_inference,[],[104,2565,1724,2508,2511,2570,602,285,290,267,128,34,29,188,42,30,169])).
% 177.57/177.64 cnf(2614,plain,
% 177.57/177.64 (~P14(f29(f28(a22,a22,a22)),f28(a22,a2,a2))),
% 177.57/177.64 inference(scs_inference,[],[104,2565,1724,2466,1576,2508,2511,2570,602,2250,593,285,290,917,267,128,34,29,188,42,30,169,55,70,71])).
% 177.57/177.64 cnf(2617,plain,
% 177.57/177.64 (E(f28(f31(a2),x26171,x26172),f28(f31(a22),x26171,x26172))),
% 177.57/177.64 inference(rename_variables,[],[2501])).
% 177.57/177.64 cnf(2622,plain,
% 177.57/177.64 (~P2(f27(a12))+P29(f27(f27(a12)))),
% 177.57/177.64 inference(scs_inference,[],[104,2565,1724,2501,2617,2466,1576,2575,2508,2511,2570,1162,602,2250,593,285,290,917,267,482,910,128,34,29,188,42,30,169,55,70,71,3,2,139,150])).
% 177.57/177.64 cnf(2636,plain,
% 177.57/177.64 (P8(f33(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.57/177.64 inference(scs_inference,[],[1720,206])).
% 177.57/177.64 cnf(2640,plain,
% 177.57/177.64 (P14(f10(f31(a22)),f29(f31(a2)))),
% 177.57/177.64 inference(scs_inference,[],[1720,2557,2503,577,206,207,70])).
% 177.57/177.64 cnf(2644,plain,
% 177.57/177.64 (~E(a22,f25(f27(a1)))),
% 177.57/177.64 inference(scs_inference,[],[216,1720,2557,2580,2503,2377,577,1681,206,207,70,71,3])).
% 177.57/177.64 cnf(2646,plain,
% 177.57/177.64 (~P14(f29(f28(a22,a2,a22)),f28(a2,a22,a2))),
% 177.57/177.64 inference(scs_inference,[],[216,1720,2607,2557,2563,2580,2503,2377,577,1681,206,207,70,71,3,2,519])).
% 177.57/177.64 cnf(2650,plain,
% 177.57/177.64 (P2(f28(f30(a12),f33(a12),f33(a12)))),
% 177.57/177.64 inference(scs_inference,[],[216,1720,2607,2557,2563,2580,2494,2503,1722,1767,2377,577,1681,206,207,70,71,3,2,519,138,209])).
% 177.57/177.64 cnf(2660,plain,
% 177.57/177.64 (~P16(f32(f30(a12),f30(a12)))),
% 177.57/177.64 inference(scs_inference,[],[649,183])).
% 177.57/177.64 cnf(2665,plain,
% 177.57/177.64 (E(f25(f4(x26651,a2)),f25(f4(x26651,a22)))),
% 177.57/177.64 inference(scs_inference,[],[293,649,183,21,15,12,24])).
% 177.57/177.64 cnf(2668,plain,
% 177.57/177.64 (E(f24(f4(x26681,a2),x26682),f24(f4(x26681,a22),x26682))),
% 177.57/177.64 inference(scs_inference,[],[293,649,183,21,15,12,24,20,14,9])).
% 177.57/177.64 cnf(2669,plain,
% 177.57/177.64 (E(f32(f4(x26691,a2),x26692),f32(f4(x26691,a22),x26692))),
% 177.57/177.64 inference(scs_inference,[],[293,649,183,21,15,12,24,20,14,9,6])).
% 177.57/177.64 cnf(2671,plain,
% 177.57/177.64 (E(f32(x26711,f4(x26712,a2)),f32(x26711,f4(x26712,a22)))),
% 177.57/177.64 inference(scs_inference,[],[293,649,183,21,15,12,24,20,14,9,6,25,7])).
% 177.57/177.64 cnf(2672,plain,
% 177.57/177.64 (~P14(f29(f30(a1)),f7(f8(a1)))),
% 177.57/177.64 inference(scs_inference,[],[1270,1569,293,649,183,21,15,12,24,20,14,9,6,25,7,188])).
% 177.57/177.64 cnf(2674,plain,
% 177.57/177.64 (P8(f4(x26741,f4(x26742,a2)),x26741,f4(x26742,a22))),
% 177.57/177.64 inference(scs_inference,[],[251,1270,1569,293,649,183,21,15,12,24,20,14,9,6,25,7,188,30])).
% 177.57/177.64 cnf(2678,plain,
% 177.57/177.64 (P14(a22,f29(f31(a2)))),
% 177.57/177.64 inference(scs_inference,[],[251,1270,2640,1569,293,649,917,183,21,15,12,24,20,14,9,6,25,7,188,30,160,70])).
% 177.57/177.64 cnf(2680,plain,
% 177.57/177.64 (~P14(f29(f28(a22,a2,a22)),f28(a2,a2,a2))),
% 177.57/177.64 inference(scs_inference,[],[251,2646,1270,2640,1569,293,649,287,917,183,21,15,12,24,20,14,9,6,25,7,188,30,160,70,71])).
% 177.57/177.64 cnf(2682,plain,
% 177.57/177.64 (E(f24(f5(a2),f28(a2,a2,a2)),f24(f5(a22),f28(a22,a22,a22)))),
% 177.57/177.64 inference(scs_inference,[],[251,2646,1270,2640,2412,2244,1569,293,649,287,917,183,21,15,12,24,20,14,9,6,25,7,188,30,160,70,71,3])).
% 177.57/177.64 cnf(2706,plain,
% 177.57/177.64 (P7(f7(f26(a12)),f29(f26(a12)))),
% 177.57/177.64 inference(scs_inference,[],[2636,1722,719,1767,210,157])).
% 177.57/177.64 cnf(2710,plain,
% 177.57/177.64 (P3(f28(f30(a12),f33(a12),f33(a12)))),
% 177.57/177.64 inference(scs_inference,[],[2650,2636,1722,719,1767,210,157,122,119])).
% 177.57/177.64 cnf(2728,plain,
% 177.57/177.64 (P4(f28(f30(a12),f33(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[2710,120])).
% 177.76/177.64 cnf(2730,plain,
% 177.76/177.64 (P7(f30(f27(a1)),f29(f30(a1)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,74,76,110,120,190])).
% 177.76/177.64 cnf(2733,plain,
% 177.76/177.64 (E(f28(x27331,f30(a2),x27332),f28(x27331,f30(a22),x27332))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18])).
% 177.76/177.64 cnf(2734,plain,
% 177.76/177.64 (E(f4(f30(a2),x27341),f4(f30(a22),x27341))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18,11])).
% 177.76/177.64 cnf(2735,plain,
% 177.76/177.64 (E(f28(x27351,x27352,f30(a2)),f28(x27351,x27352,f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18,11,19])).
% 177.76/177.64 cnf(2737,plain,
% 177.76/177.64 (E(f23(f30(a2)),f23(f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18,11,19,17,5])).
% 177.76/177.64 cnf(2738,plain,
% 177.76/177.64 (E(f10(f30(a2)),f10(f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18,11,19,17,5,4])).
% 177.76/177.64 cnf(2744,plain,
% 177.76/177.64 (E(f29(f30(a2)),f29(f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,74,76,110,120,190,23,18,11,19,17,5,4,26,22,16,10,13,8])).
% 177.76/177.64 cnf(2745,plain,
% 177.76/177.64 (P14(f28(a2,a22,a22),f29(f28(a22,a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,292,2430,431,74,76,110,120,190,23,18,11,19,17,5,4,26,22,16,10,13,8,70])).
% 177.76/177.64 cnf(2748,plain,
% 177.76/177.64 (P14(a22,f29(f31(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1554,2710,2678,2513,292,2430,431,74,76,110,120,190,23,18,11,19,17,5,4,26,22,16,10,13,8,70,71])).
% 177.76/177.64 cnf(2750,plain,
% 177.76/177.64 (E(f24(f4(x27501,a22),x27502),f24(f4(x27501,a2),x27502))),
% 177.76/177.64 inference(scs_inference,[],[1554,2668,2710,1971,2678,2513,292,2430,431,390,74,76,110,120,190,23,18,11,19,17,5,4,26,22,16,10,13,8,70,71,3,2])).
% 177.76/177.64 cnf(2787,plain,
% 177.76/177.64 (P2(f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[277,125,124])).
% 177.76/177.64 cnf(2789,plain,
% 177.76/177.64 (~P9(f10(x27891),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[104,976,585,277,125,124,176])).
% 177.76/177.64 cnf(2793,plain,
% 177.76/177.64 (~P12(f10(x27931),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[104,1617,976,585,277,125,124,176,174,175])).
% 177.76/177.64 cnf(2797,plain,
% 177.76/177.64 (~P9(f23(f29(a2)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[104,1617,2326,976,589,585,277,125,124,176,174,175,182,180])).
% 177.76/177.64 cnf(2800,plain,
% 177.76/177.64 (~P12(a2,f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,1617,2326,976,589,585,294,568,912,277,125,124,176,174,175,182,180,15,51])).
% 177.76/177.64 cnf(2801,plain,
% 177.76/177.64 (P11(f24(f4(x28011,a2),x28012),f4(x28011,a22),x28012)),
% 177.76/177.64 inference(scs_inference,[],[249,104,1617,2750,2326,976,589,585,294,568,912,277,125,124,176,174,175,182,180,15,51,32])).
% 177.76/177.64 cnf(2802,plain,
% 177.76/177.64 (E(f24(f4(x28021,a22),x28022),f24(f4(x28021,a2),x28022))),
% 177.76/177.64 inference(rename_variables,[],[2750])).
% 177.76/177.64 cnf(2804,plain,
% 177.76/177.64 (P8(f24(f4(x28041,a2),x28042),f4(x28041,a22),x28042)),
% 177.76/177.64 inference(scs_inference,[],[249,104,108,1617,2750,2802,2326,976,589,585,294,568,912,277,125,124,176,174,175,182,180,15,51,32,28])).
% 177.76/177.64 cnf(2809,plain,
% 177.76/177.64 (P14(f23(f5(a1)),f5(a1))),
% 177.76/177.64 inference(scs_inference,[],[249,104,108,106,1617,2745,2750,2802,2326,976,589,877,585,294,568,912,277,125,124,176,174,175,182,180,15,51,32,28,169,167])).
% 177.76/177.64 cnf(2812,plain,
% 177.76/177.64 (P14(f28(a22,a22,a22),f29(f28(a22,a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[249,104,108,106,1617,2745,2750,2802,2326,976,589,877,585,294,568,288,912,277,125,124,176,174,175,182,180,15,51,32,28,169,167,70])).
% 177.76/177.64 cnf(2824,plain,
% 177.76/177.64 (P7(f10(f30(a2)),f29(f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[241,249,104,108,107,106,2517,1617,2745,2669,2671,2750,2802,2680,2744,2326,2459,976,1173,589,877,585,294,568,288,593,1419,912,277,125,124,176,174,175,182,180,15,51,32,28,169,167,70,71,3,2,519,52,59,56])).
% 177.76/177.64 cnf(2831,plain,
% 177.76/177.64 (P9(f5(f27(a1)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2787,589,976,585,179])).
% 177.76/177.64 cnf(2835,plain,
% 177.76/177.64 (~P12(f23(f29(a2)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2787,873,589,2061,976,585,179,128,175])).
% 177.76/177.64 cnf(2837,plain,
% 177.76/177.64 (P11(f24(x28371,f10(a2)),x28371,f10(a22))),
% 177.76/177.64 inference(scs_inference,[],[249,2787,873,589,2061,301,976,585,179,128,175,34])).
% 177.76/177.64 cnf(2838,plain,
% 177.76/177.64 (P11(f24(x28381,x28382),x28381,x28382)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(2839,plain,
% 177.76/177.64 (P11(f24(f10(a2),x28391),f10(a22),x28391)),
% 177.76/177.64 inference(scs_inference,[],[249,2838,2787,873,589,2061,301,976,585,179,128,175,34,33])).
% 177.76/177.64 cnf(2840,plain,
% 177.76/177.64 (P11(f24(x28401,x28402),x28401,x28402)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(2841,plain,
% 177.76/177.64 (P8(f4(f10(a2),x28411),f10(a22),x28411)),
% 177.76/177.64 inference(scs_inference,[],[249,2838,251,2787,873,589,2061,301,976,585,179,128,175,34,33,29])).
% 177.76/177.64 cnf(2842,plain,
% 177.76/177.64 (P8(f4(x28421,x28422),x28421,x28422)),
% 177.76/177.64 inference(rename_variables,[],[251])).
% 177.76/177.64 cnf(2847,plain,
% 177.76/177.64 (~P14(f29(f28(a22,a2,a2)),f28(a22,a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[249,2838,2840,251,2842,2812,2682,2436,2787,873,589,2061,301,976,585,179,128,175,34,33,29,32,28,169])).
% 177.76/177.64 cnf(2849,plain,
% 177.76/177.64 (P14(f10(f27(a2)),f29(f27(a22)))),
% 177.76/177.64 inference(scs_inference,[],[249,2838,2840,251,2842,115,2812,1914,2682,2436,2787,873,589,2061,301,976,585,179,128,175,34,33,29,32,28,169,167])).
% 177.76/177.64 cnf(2860,plain,
% 177.76/177.64 (E(f28(x28601,f30(a2),x28602),f28(x28601,f30(a22),x28602))),
% 177.76/177.64 inference(rename_variables,[],[2733])).
% 177.76/177.64 cnf(2863,plain,
% 177.76/177.64 (~P5(f27(a1))+P18(f33(f27(a1)),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,2838,2840,251,2842,115,106,2812,2733,2860,2735,1914,2682,2436,2571,2737,2787,2800,362,873,589,2061,301,431,2250,976,585,390,328,179,128,175,34,33,29,32,28,169,167,55,50,70,71,3,2,170])).
% 177.76/177.64 cnf(2865,plain,
% 177.76/177.64 (~P9(a22,f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,2838,2840,251,2842,115,106,2812,2733,2860,2735,1914,2682,2436,2571,2737,2787,2800,2057,362,873,589,2061,301,431,2250,976,585,390,328,179,128,175,34,33,29,32,28,169,167,55,50,70,71,3,2,170,180])).
% 177.76/177.64 cnf(2881,plain,
% 177.76/177.64 (P8(f33(a18),f32(f30(a18),f30(a18)),f30(a18))),
% 177.76/177.64 inference(scs_inference,[],[1354,206])).
% 177.76/177.64 cnf(2886,plain,
% 177.76/177.64 (E(f10(x28861),a22)),
% 177.76/177.64 inference(rename_variables,[],[917])).
% 177.76/177.64 cnf(2887,plain,
% 177.76/177.64 (P11(f24(f10(a2),x28871),a22,x28871)),
% 177.76/177.64 inference(scs_inference,[],[1354,2674,2837,2839,917,2886,206,207,34,33])).
% 177.76/177.64 cnf(2888,plain,
% 177.76/177.64 (E(f10(x28881),a22)),
% 177.76/177.64 inference(rename_variables,[],[917])).
% 177.76/177.64 cnf(2889,plain,
% 177.76/177.64 (P10(f25(a1),a1)),
% 177.76/177.64 inference(scs_inference,[],[1354,2674,2837,2839,340,917,2886,74,76,110,206,207,34,33,180])).
% 177.76/177.64 cnf(2893,plain,
% 177.76/177.64 (P7(a22,f29(f31(a22)))),
% 177.76/177.64 inference(scs_inference,[],[1354,2674,2837,2839,2841,2748,340,917,2886,2888,267,74,76,110,206,207,34,33,180,29,188])).
% 177.76/177.64 cnf(2899,plain,
% 177.76/177.64 (P14(f10(f30(a22)),f29(f30(a2)))),
% 177.76/177.64 inference(scs_inference,[],[1354,2674,2837,2839,2841,2748,2809,2009,2738,340,577,917,2886,2888,267,390,74,76,110,206,207,34,33,180,29,188,169,55,70])).
% 177.76/177.64 cnf(2901,plain,
% 177.76/177.64 (~E(f8(a1),a22)),
% 177.76/177.64 inference(scs_inference,[],[216,1354,2674,2837,2839,2841,2748,2809,2009,2738,1247,340,577,917,2886,2888,267,390,74,76,110,206,207,34,33,180,29,188,169,55,70,71])).
% 177.76/177.64 cnf(2904,plain,
% 177.76/177.64 (~E(a9,f26(a12))),
% 177.76/177.64 inference(scs_inference,[],[216,1354,2317,2674,2837,2839,2841,2748,2809,2009,2644,2738,1247,340,577,917,2886,2888,267,390,74,76,110,206,207,34,33,180,29,188,169,55,70,71,3,2])).
% 177.76/177.64 cnf(2905,plain,
% 177.76/177.64 (~P3(f27(a12))+P18(f31(f27(a12)),f30(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[216,1354,2317,2674,2837,2839,2841,2748,2809,2009,2644,2738,480,1247,340,577,917,2886,2888,267,390,910,74,76,110,206,207,34,33,180,29,188,169,55,70,71,3,2,171])).
% 177.76/177.64 cnf(2923,plain,
% 177.76/177.64 (P7(f26(f27(a1)),f29(f30(a1)))),
% 177.76/177.64 inference(scs_inference,[],[706,74,76,110,190])).
% 177.76/177.64 cnf(2926,plain,
% 177.76/177.64 (E(f4(x29261,f26(a2)),f4(x29261,f26(a22)))),
% 177.76/177.64 inference(scs_inference,[],[706,279,74,76,110,190,21,12])).
% 177.76/177.64 cnf(2934,plain,
% 177.76/177.64 (~P9(a2,f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[706,1952,2787,279,976,585,74,76,110,190,21,12,24,20,9,14,7,6,25,180])).
% 177.76/177.64 cnf(2936,plain,
% 177.76/177.64 (P7(f10(f30(a22)),f29(f30(a2)))),
% 177.76/177.64 inference(scs_inference,[],[706,2899,1952,2787,279,976,585,74,76,110,190,21,12,24,20,9,14,7,6,25,180,160])).
% 177.76/177.64 cnf(2938,plain,
% 177.76/177.64 (P14(a22,f29(f27(a22)))),
% 177.76/177.64 inference(scs_inference,[],[706,2849,2899,1952,2787,279,976,585,917,74,76,110,190,21,12,24,20,9,14,7,6,25,180,160,70])).
% 177.76/177.64 cnf(2963,plain,
% 177.76/177.64 (P7(f7(f17(a1)),f29(f17(a1)))),
% 177.76/177.64 inference(scs_inference,[],[914,157])).
% 177.76/177.64 cnf(2965,plain,
% 177.76/177.64 (P2(f28(f30(a18),f33(a18),f33(a18)))),
% 177.76/177.64 inference(scs_inference,[],[2881,1358,914,1417,157,209])).
% 177.76/177.64 cnf(2969,plain,
% 177.76/177.64 (P3(f28(f30(a1),f33(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2881,1358,1467,2390,914,1417,157,209,122,119])).
% 177.76/177.64 cnf(2973,plain,
% 177.76/177.64 (~P14(f29(f30(a12)),f7(f17(a12)))),
% 177.76/177.64 inference(scs_inference,[],[1879,2881,2332,1358,1467,2390,914,1417,157,209,122,119,183,188])).
% 177.76/177.64 cnf(2975,plain,
% 177.76/177.64 (P8(f4(x29751,f24(a2,a2)),x29751,f24(a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[251,1879,2881,2332,1358,1467,2390,914,1417,716,157,209,122,119,183,188,30])).
% 177.76/177.64 cnf(2977,plain,
% 177.76/177.64 (E(f4(f30(a2),f26(a2)),f4(f30(a22),f26(a22)))),
% 177.76/177.64 inference(scs_inference,[],[251,2926,1879,2881,2734,2332,1358,1467,2390,914,1417,716,157,209,122,119,183,188,30,3])).
% 177.76/177.64 cnf(2980,plain,
% 177.76/177.64 (~E(f23(f29(a2)),f5(a1))),
% 177.76/177.64 inference(scs_inference,[],[251,2524,2926,1879,2881,2734,2332,1358,1467,2390,914,1417,716,157,209,122,119,183,188,30,3,2])).
% 177.76/177.64 cnf(2982,plain,
% 177.76/177.64 (~E(f27(a1),x29821)+P30(x29821)),
% 177.76/177.64 inference(scs_inference,[],[251,2847,2524,2926,1879,2881,2734,352,2332,1358,1467,2390,914,1417,716,157,209,122,119,183,188,30,3,2,519,49])).
% 177.76/177.64 cnf(2983,plain,
% 177.76/177.64 (E(f27(f24(a2,a2)),f27(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[251,2847,2524,2926,1879,2881,2734,352,2332,1358,1467,2390,914,1417,716,157,209,122,119,183,188,30,3,2,519,49,15])).
% 177.76/177.64 cnf(3000,plain,
% 177.76/177.64 (P4(f28(f30(a1),f33(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2969,120])).
% 177.76/177.64 cnf(3002,plain,
% 177.76/177.64 (~P9(f23(f29(a9)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2969,662,2787,976,585,120,176])).
% 177.76/177.64 cnf(3006,plain,
% 177.76/177.64 (E(f28(x30061,x30062,f32(a2,x30063)),f28(x30061,x30062,f32(a22,x30063)))),
% 177.76/177.64 inference(scs_inference,[],[2969,662,299,2787,976,585,120,176,23,11,19])).
% 177.76/177.64 cnf(3007,plain,
% 177.76/177.64 (E(f28(x30071,f32(a2,x30072),x30073),f28(x30071,f32(a22,x30072),x30073))),
% 177.76/177.64 inference(scs_inference,[],[2969,662,299,2787,976,585,120,176,23,11,19,18])).
% 177.76/177.64 cnf(3008,plain,
% 177.76/177.64 (E(f28(f32(a2,x30081),x30082,x30083),f28(f32(a22,x30081),x30082,x30083))),
% 177.76/177.64 inference(scs_inference,[],[2969,662,299,2787,976,585,120,176,23,11,19,18,17])).
% 177.76/177.64 cnf(3009,plain,
% 177.76/177.64 (E(f10(f32(a2,x30091)),f10(f32(a22,x30091)))),
% 177.76/177.64 inference(scs_inference,[],[2969,662,299,2787,976,585,120,176,23,11,19,18,17,4])).
% 177.76/177.64 cnf(3017,plain,
% 177.76/177.64 (E(f24(x30171,f32(a2,x30172)),f24(x30171,f32(a22,x30172)))),
% 177.76/177.64 inference(scs_inference,[],[2969,1675,662,299,2787,976,585,120,176,23,11,19,18,17,4,26,5,22,16,183,13,10])).
% 177.76/177.64 cnf(3020,plain,
% 177.76/177.64 (E(f29(f4(a2,x30201)),f29(f4(a22,x30201)))),
% 177.76/177.64 inference(scs_inference,[],[265,251,2969,1675,662,299,294,2787,976,585,120,176,23,11,19,18,17,4,26,5,22,16,183,13,10,30,8])).
% 177.76/177.64 cnf(3021,plain,
% 177.76/177.64 (~E(a22,f5(a1))),
% 177.76/177.64 inference(scs_inference,[],[265,251,2969,2980,1675,662,299,294,2787,2095,976,585,120,176,23,11,19,18,17,4,26,5,22,16,183,13,10,30,8,3])).
% 177.76/177.64 cnf(3022,plain,
% 177.76/177.64 (E(f27(f24(a22,a22)),f27(f24(a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[265,251,2983,2969,2980,1675,662,299,294,2787,2095,976,585,120,176,23,11,19,18,17,4,26,5,22,16,183,13,10,30,8,3,2])).
% 177.76/177.64 cnf(3025,plain,
% 177.76/177.64 (~P10(f23(f29(a9)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[265,251,2983,2969,2980,362,1675,662,299,294,2787,2095,976,585,328,120,176,23,11,19,18,17,4,26,5,22,16,183,13,10,30,8,3,2,152,179])).
% 177.76/177.64 cnf(3043,plain,
% 177.76/177.64 (~P12(f23(f29(a9)),f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[3025,364,277,328,185])).
% 177.76/177.64 cnf(3045,plain,
% 177.76/177.64 (~P10(f23(f29(a22)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3025,464,2787,976,585,364,277,328,185,177])).
% 177.76/177.64 cnf(3047,plain,
% 177.76/177.64 (P15(f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3025,464,2787,976,585,364,277,328,80,185,177,125])).
% 177.76/177.64 cnf(3049,plain,
% 177.76/177.64 (P2(f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3025,464,2787,976,585,364,277,328,80,185,177,125,124])).
% 177.76/177.64 cnf(3053,plain,
% 177.76/177.64 (~P12(f10(x30531),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,1456,3025,464,2787,976,585,482,910,364,277,328,80,185,177,125,124,174,175])).
% 177.76/177.64 cnf(3055,plain,
% 177.76/177.64 (~P9(a9,f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,1456,3025,987,464,2787,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180])).
% 177.76/177.64 cnf(3057,plain,
% 177.76/177.64 (~E(f10(x30571),f32(f30(a12),f30(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,1456,3025,987,464,2787,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42])).
% 177.76/177.64 cnf(3060,plain,
% 177.76/177.64 (~P10(f10(x30601),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,1456,3025,987,464,2787,1419,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187])).
% 177.76/177.64 cnf(3062,plain,
% 177.76/177.64 (E(f27(f24(a22,a22)),f27(f24(a22,a2)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,1456,3025,768,987,464,2787,1419,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3])).
% 177.76/177.64 cnf(3064,plain,
% 177.76/177.64 (~E(f23(f29(a2)),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,768,987,464,2787,1419,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2])).
% 177.76/177.64 cnf(3065,plain,
% 177.76/177.64 (P9(f30(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,768,987,464,2787,1419,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590])).
% 177.76/177.64 cnf(3066,plain,
% 177.76/177.64 (P24(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,768,987,464,2787,1419,976,585,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924])).
% 177.76/177.64 cnf(3073,plain,
% 177.76/177.64 (P9(f25(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,464,2787,1419,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163])).
% 177.76/177.64 cnf(3075,plain,
% 177.76/177.64 (P10(f26(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,464,2787,1419,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164])).
% 177.76/177.64 cnf(3077,plain,
% 177.76/177.64 (P1(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,464,2787,1419,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140])).
% 177.76/177.64 cnf(3079,plain,
% 177.76/177.64 (~P25(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,464,2787,1419,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137])).
% 177.76/177.64 cnf(3081,plain,
% 177.76/177.64 (P9(f5(a12),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,490,464,2787,1419,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179])).
% 177.76/177.64 cnf(3088,plain,
% 177.76/177.64 (~E(f5(f27(a1)),f23(f29(a9)))),
% 177.76/177.64 inference(scs_inference,[],[104,2660,3022,2584,1456,3025,2887,768,987,484,490,589,464,2787,1419,912,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179,176,182,59,58])).
% 177.76/177.64 cnf(3095,plain,
% 177.76/177.64 (P26(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,107,2660,3022,2584,1456,3020,3025,2887,768,987,484,490,319,589,464,1241,2787,1419,912,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179,176,182,59,58,50,47,56,2622,2279,2270])).
% 177.76/177.64 cnf(3096,plain,
% 177.76/177.64 (P27(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,107,2660,3022,2584,1456,3020,3025,2887,768,987,484,490,319,589,464,1241,2787,1419,912,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179,176,182,59,58,50,47,56,2622,2279,2270,1984])).
% 177.76/177.64 cnf(3097,plain,
% 177.76/177.64 (P12(f5(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,107,2660,3022,2584,1456,3020,3025,2887,768,987,484,490,319,589,464,1241,2787,1419,912,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179,176,182,59,58,50,47,56,2622,2279,2270,1984,1982])).
% 177.76/177.64 cnf(3098,plain,
% 177.76/177.64 (P28(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,107,2660,3022,2584,1456,3020,3025,2887,768,987,484,490,319,589,464,1241,2787,1419,912,976,1052,585,466,482,910,364,277,328,80,185,177,125,124,174,175,180,42,51,48,187,3,2,2590,1924,208,150,159,163,164,140,137,179,176,182,59,58,50,47,56,2622,2279,2270,1984,1982,1980])).
% 177.76/177.64 cnf(3111,plain,
% 177.76/177.64 (P10(x31111,f27(f27(a12)))+~P12(x31111,f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3049,2447])).
% 177.76/177.64 cnf(3112,plain,
% 177.76/177.64 (P10(f5(f27(a12)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3097,3111])).
% 177.76/177.64 cnf(3118,plain,
% 177.76/177.64 (P13(f5(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3097,3049,482,910,3111,166,151,181])).
% 177.76/177.64 cnf(3120,plain,
% 177.76/177.64 (~P12(f23(f29(a22)),f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[3045,3097,3049,482,910,364,277,328,3111,166,151,181,185])).
% 177.76/177.64 cnf(3122,plain,
% 177.76/177.64 (~P16(f7(f7(a11)))),
% 177.76/177.64 inference(scs_inference,[],[3045,3097,3049,269,482,910,364,277,328,3111,166,151,181,185,128])).
% 177.76/177.64 cnf(3124,plain,
% 177.76/177.64 (~P16(f26(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3075,3045,3097,3049,269,482,910,364,277,328,3111,166,151,181,185,128,177])).
% 177.76/177.64 cnf(3126,plain,
% 177.76/177.64 (P9(f26(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3075,3045,3097,3049,269,482,910,364,277,328,3111,166,151,181,185,128,177,179])).
% 177.76/177.64 cnf(3130,plain,
% 177.76/177.64 (~P9(f23(f29(a22)),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3075,3045,3097,3049,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180])).
% 177.76/177.64 cnf(3136,plain,
% 177.76/177.64 (P14(x31361,f29(x31361))),
% 177.76/177.64 inference(scs_inference,[],[249,108,267,115,3075,2211,3045,3097,3049,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180,32,28,167])).
% 177.76/177.64 cnf(3139,plain,
% 177.76/177.64 (~P14(f29(x31391),x31391)),
% 177.76/177.64 inference(scs_inference,[],[249,108,267,115,3075,2211,3045,3097,3049,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180,32,28,167,169])).
% 177.76/177.64 cnf(3141,plain,
% 177.76/177.64 (~E(f5(f27(a12)),f10(x31411))),
% 177.76/177.64 inference(scs_inference,[],[249,108,267,115,3075,2211,3045,3053,3097,3049,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180,32,28,167,169,50])).
% 177.76/177.64 cnf(3144,plain,
% 177.76/177.64 (E(f27(f24(a22,a2)),f27(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[249,265,108,267,115,3062,3075,2211,3045,3053,3097,3049,2901,3020,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180,32,28,167,169,50,70,3,2])).
% 177.76/177.64 cnf(3150,plain,
% 177.76/177.64 (~P10(a9,f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,265,108,267,115,3062,1546,3073,3075,2211,3045,3053,3097,3049,2901,3020,2070,269,2787,976,585,482,910,364,277,328,3111,166,151,181,185,128,177,179,175,180,32,28,167,169,50,70,3,2,72,176,182,187])).
% 177.76/177.64 cnf(3166,plain,
% 177.76/177.64 (~P7(f29(f29(a2)),f29(f29(a2)))),
% 177.76/177.64 inference(scs_inference,[],[3136,625])).
% 177.76/177.64 cnf(3167,plain,
% 177.76/177.64 (P14(x31671,f29(x31671))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3169,plain,
% 177.76/177.64 (P8(f31(a1),f32(f30(a1),f30(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[3136,775,625,206])).
% 177.76/177.64 cnf(3171,plain,
% 177.76/177.64 (P11(f4(x31711,f24(a2,a2)),x31711,f24(a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[3136,775,2975,625,206,207])).
% 177.76/177.64 cnf(3173,plain,
% 177.76/177.64 (~P9(f10(x31731),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[104,3136,775,2975,3049,482,910,625,206,207,176])).
% 177.76/177.64 cnf(3175,plain,
% 177.76/177.64 (P11(f24(x31751,a2),x31751,a22)),
% 177.76/177.64 inference(scs_inference,[],[249,265,104,3136,775,2975,3049,482,910,625,206,207,176,34])).
% 177.76/177.64 cnf(3176,plain,
% 177.76/177.64 (P11(f24(x31761,x31762),x31761,x31762)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(3177,plain,
% 177.76/177.64 (P11(f24(a2,x31771),a22,x31771)),
% 177.76/177.64 inference(scs_inference,[],[249,3176,265,104,3136,775,2975,3049,482,910,625,206,207,176,34,33])).
% 177.76/177.64 cnf(3178,plain,
% 177.76/177.64 (P11(f24(x31781,x31782),x31781,x31782)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(3182,plain,
% 177.76/177.64 (P8(f4(x31821,x31822),x31821,x31822)),
% 177.76/177.64 inference(rename_variables,[],[251])).
% 177.76/177.64 cnf(3183,plain,
% 177.76/177.64 (~P7(f29(a11),f29(f29(a2)))),
% 177.76/177.64 inference(scs_inference,[],[249,3176,251,265,104,3136,3167,775,2975,1515,3049,482,910,625,206,207,176,34,33,168,29,188])).
% 177.76/177.64 cnf(3184,plain,
% 177.76/177.64 (P14(x31841,f29(x31841))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3186,plain,
% 177.76/177.64 (~P9(a9,f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,3176,251,265,104,3136,3167,775,2975,3150,1515,3049,2787,976,585,482,910,625,206,207,176,34,33,168,29,188,180])).
% 177.76/177.64 cnf(3188,plain,
% 177.76/177.64 (P12(f26(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[249,3176,251,265,104,113,3136,3167,775,2975,3150,3075,1515,3049,2787,976,585,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187])).
% 177.76/177.64 cnf(3192,plain,
% 177.76/177.64 (P11(f24(x31921,f32(a22,x31922)),x31921,f32(a2,x31922))),
% 177.76/177.64 inference(scs_inference,[],[249,3176,3178,251,265,104,113,3136,3167,775,2975,3150,3017,3075,1515,3049,2787,976,585,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187,160,32])).
% 177.76/177.64 cnf(3199,plain,
% 177.76/177.64 (P7(x31991,f29(x31991))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3203,plain,
% 177.76/177.64 (P14(f28(f30(a13),f31(a13),f33(a13)),f29(f27(a13)))),
% 177.76/177.64 inference(scs_inference,[],[249,3176,3178,251,3182,265,104,267,115,113,3136,3167,3184,775,2975,3006,1627,2074,2468,3150,3017,3075,2164,1515,3049,2787,976,585,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187,160,32,28,167,55,64,70])).
% 177.76/177.64 cnf(3204,plain,
% 177.76/177.64 (P14(x32041,f29(x32041))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3209,plain,
% 177.76/177.64 (~E(a22,f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[253,249,3176,3178,251,3182,265,104,267,3199,115,113,3136,3167,3184,3204,775,2975,3006,1627,2074,2468,3064,3150,3017,3075,2164,1515,1800,3049,2787,2095,976,585,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187,160,32,28,167,55,64,70,56,71,3])).
% 177.76/177.64 cnf(3211,plain,
% 177.76/177.64 (~P25(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[253,249,3176,3178,251,3182,265,104,267,3199,115,113,3136,3167,3184,3204,3057,775,2975,3006,1627,2074,2468,3064,3150,3017,3075,2164,1515,1800,3049,2787,2095,976,585,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187,160,32,28,167,55,64,70,56,71,3,2,1762])).
% 177.76/177.64 cnf(3214,plain,
% 177.76/177.64 (P2(f28(f30(a1),f33(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[253,249,3176,3178,251,3182,265,104,267,3199,115,113,3136,3167,3184,3204,3057,775,2975,3006,1627,2074,2468,3064,3150,3017,756,746,2361,3075,2164,1515,1800,748,779,3049,2787,2095,1052,976,585,466,482,75,910,80,625,206,207,176,34,33,168,29,188,180,187,160,32,28,167,55,64,70,56,71,3,2,1762,146,209])).
% 177.76/177.64 cnf(3232,plain,
% 177.76/177.64 (P2(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3169,756,746,209])).
% 177.76/177.64 cnf(3243,plain,
% 177.76/177.64 (P11(f4(x32431,a2),x32431,a22)),
% 177.76/177.64 inference(scs_inference,[],[109,265,3169,756,746,283,209,21,12,9,24,20,14,6,25,7,34])).
% 177.76/177.64 cnf(3244,plain,
% 177.76/177.64 (P11(f4(x32441,x32442),x32441,x32442)),
% 177.76/177.64 inference(rename_variables,[],[109])).
% 177.76/177.64 cnf(3247,plain,
% 177.76/177.64 (P7(f28(f30(a13),f31(a13),f33(a13)),f29(f27(a13)))),
% 177.76/177.64 inference(scs_inference,[],[109,3244,265,267,3203,3169,756,746,283,209,21,12,9,24,20,14,6,25,7,34,33,188])).
% 177.76/177.64 cnf(3248,plain,
% 177.76/177.64 (P7(x32481,f29(x32481))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3252,plain,
% 177.76/177.64 (P10(f30(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[109,3244,265,108,267,3203,3169,3065,756,746,283,3049,482,910,209,21,12,9,24,20,14,6,25,7,34,33,188,29,180])).
% 177.76/177.64 cnf(3259,plain,
% 177.76/177.64 (~P7(f29(f7(a11)),f7(a11))),
% 177.76/177.64 inference(scs_inference,[],[269,109,3244,265,108,267,3139,3203,3173,3169,2938,3065,756,746,283,3049,1419,482,910,209,21,12,9,24,20,14,6,25,7,34,33,188,29,180,48,160,169,167])).
% 177.76/177.64 cnf(3260,plain,
% 177.76/177.64 (~P14(f29(x32601),x32601)),
% 177.76/177.64 inference(rename_variables,[],[3139])).
% 177.76/177.64 cnf(3263,plain,
% 177.76/177.64 (P7(x32631,f29(x32631))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3265,plain,
% 177.76/177.64 (~P14(f29(x32651),x32651)),
% 177.76/177.64 inference(rename_variables,[],[3139])).
% 177.76/177.64 cnf(3271,plain,
% 177.76/177.64 (E(f28(x32711,f32(a2,x32712),x32713),f28(x32711,f32(a22,x32712),x32713))),
% 177.76/177.64 inference(rename_variables,[],[3007])).
% 177.76/177.64 cnf(3275,plain,
% 177.76/177.64 (P13(f26(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[269,223,109,3244,265,108,267,3248,3263,113,3139,3260,3265,3007,3271,3008,3166,3203,3173,3169,2938,3188,3065,758,1131,1521,756,746,283,3049,1419,482,75,910,80,209,21,12,9,24,20,14,6,25,7,34,33,188,29,180,48,160,169,167,55,70,56,71,3,2,68,181])).
% 177.76/177.64 cnf(3277,plain,
% 177.76/177.64 (~P12(f23(f29(a22)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[269,223,109,3244,265,108,267,3248,3263,113,3139,3260,3265,3007,3271,3008,3166,3203,3173,3169,3120,2938,3188,3065,758,1131,1521,756,746,283,3049,1419,314,482,75,910,80,209,21,12,9,24,20,14,6,25,7,34,33,188,29,180,48,160,169,167,55,70,56,71,3,2,68,181,51])).
% 177.76/177.64 cnf(3288,plain,
% 177.76/177.64 (~E(a15,x32881)+P29(x32881)+~P1(a15)),
% 177.76/177.64 inference(scs_inference,[],[1472,57])).
% 177.76/177.64 cnf(3290,plain,
% 177.76/177.64 (~P14(f29(f28(x32901,x32902,a22)),f28(x32901,x32902,a2))),
% 177.76/177.64 inference(scs_inference,[],[3139,519])).
% 177.76/177.64 cnf(3291,plain,
% 177.76/177.64 (~P14(f29(x32911),x32911)),
% 177.76/177.64 inference(rename_variables,[],[3139])).
% 177.76/177.64 cnf(3292,plain,
% 177.76/177.64 (P7(f7(f7(a11)),f29(f7(a11)))),
% 177.76/177.64 inference(scs_inference,[],[269,3139,519,157])).
% 177.76/177.64 cnf(3294,plain,
% 177.76/177.64 (P5(f28(f30(a1),f33(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[269,3214,3139,519,157,122])).
% 177.76/177.64 cnf(3299,plain,
% 177.76/177.64 (~P14(f29(a11),f29(f29(a2)))),
% 177.76/177.64 inference(scs_inference,[],[269,267,3214,3183,3139,431,519,157,122,119,15,188])).
% 177.76/177.64 cnf(3302,plain,
% 177.76/177.64 (P14(f23(f8(a12)),f8(a12))),
% 177.76/177.64 inference(scs_inference,[],[269,267,106,3214,3183,3139,446,431,519,157,122,119,15,188,167])).
% 177.76/177.64 cnf(3303,plain,
% 177.76/177.64 (P7(f23(x33031),x33031)),
% 177.76/177.64 inference(rename_variables,[],[106])).
% 177.76/177.64 cnf(3311,plain,
% 177.76/177.64 (P7(f23(f28(x33111,a2,a2)),f28(x33111,a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[269,107,267,106,3303,3214,3183,3139,3291,1501,446,431,519,157,122,119,15,188,167,169,55,70,56])).
% 177.76/177.64 cnf(3313,plain,
% 177.76/177.64 (~E(f8(a12),a22)),
% 177.76/177.64 inference(scs_inference,[],[269,216,107,267,106,3303,3214,3183,3139,3291,1501,446,431,519,157,122,119,15,188,167,169,55,70,56,71])).
% 177.76/177.64 cnf(3332,plain,
% 177.76/177.64 (P4(f28(f30(a1),f33(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3294,121])).
% 177.76/177.64 cnf(3335,plain,
% 177.76/177.64 (E(f28(x33351,f4(a2,x33352),x33353),f28(x33351,f4(a22,x33352),x33353))),
% 177.76/177.64 inference(scs_inference,[],[3294,294,121,23,18])).
% 177.76/177.64 cnf(3337,plain,
% 177.76/177.64 (E(f10(f4(a2,x33371)),f10(f4(a22,x33371)))),
% 177.76/177.64 inference(scs_inference,[],[3294,294,121,23,18,11,4])).
% 177.76/177.64 cnf(3338,plain,
% 177.76/177.64 (E(f28(x33381,x33382,f4(a2,x33383)),f28(x33381,x33382,f4(a22,x33383)))),
% 177.76/177.64 inference(scs_inference,[],[3294,294,121,23,18,11,4,19])).
% 177.76/177.64 cnf(3339,plain,
% 177.76/177.64 (E(f28(f4(a2,x33391),x33392,x33393),f28(f4(a22,x33391),x33392,x33393))),
% 177.76/177.64 inference(scs_inference,[],[3294,294,121,23,18,11,4,19,17])).
% 177.76/177.64 cnf(3346,plain,
% 177.76/177.64 (E(f24(x33461,f4(a2,x33462)),f24(x33461,f4(a22,x33462)))),
% 177.76/177.64 inference(scs_inference,[],[3294,324,294,121,23,18,11,4,19,17,183,26,22,16,5,10])).
% 177.76/177.64 cnf(3348,plain,
% 177.76/177.64 (~P7(f29(a11),f29(f29(a22)))),
% 177.76/177.64 inference(scs_inference,[],[3294,3136,324,1368,294,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188])).
% 177.76/177.64 cnf(3349,plain,
% 177.76/177.64 (P14(x33491,f29(x33491))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3353,plain,
% 177.76/177.64 (E(f29(f24(a2,a2)),f29(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[251,3294,3136,324,1368,294,716,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188,30,8])).
% 177.76/177.64 cnf(3356,plain,
% 177.76/177.64 (P14(f7(f25(a12)),f29(f25(a12)))),
% 177.76/177.64 inference(scs_inference,[],[251,115,3294,2182,2678,3136,324,1368,294,716,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188,30,8,160,167])).
% 177.76/177.64 cnf(3359,plain,
% 177.76/177.64 (~P14(f29(f25(a12)),f7(f25(a12)))),
% 177.76/177.64 inference(scs_inference,[],[251,115,3294,2182,2678,3136,324,1368,294,716,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188,30,8,160,167,169])).
% 177.76/177.64 cnf(3363,plain,
% 177.76/177.64 (P14(f4(a22,x33631),f29(f4(a2,x33631)))),
% 177.76/177.64 inference(scs_inference,[],[251,107,115,3294,2182,3009,2678,3136,3349,324,1368,294,716,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188,30,8,160,167,169,55,70])).
% 177.76/177.64 cnf(3364,plain,
% 177.76/177.64 (P14(x33641,f29(x33641))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3367,plain,
% 177.76/177.64 (~E(f29(f29(x33671)),f23(f29(x33671)))),
% 177.76/177.64 inference(scs_inference,[],[251,107,267,115,781,3294,2182,3009,2678,3136,3349,3364,3183,324,1368,294,716,121,23,18,11,4,19,17,183,26,22,16,5,10,13,188,30,8,160,167,169,55,70,56,71])).
% 177.76/177.64 cnf(3382,plain,
% 177.76/177.64 (P15(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3169,756,746,210])).
% 177.76/177.64 cnf(3386,plain,
% 177.76/177.64 (P2(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3169,756,746,3049,210,125,124])).
% 177.76/177.64 cnf(3394,plain,
% 177.76/177.64 (~P12(f10(x33941),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[104,3112,3247,3079,3169,3077,873,756,746,3049,210,125,124,179,174,183,175])).
% 177.76/177.64 cnf(3398,plain,
% 177.76/177.64 (P7(f4(a22,x33981),f29(f4(a2,x33981)))),
% 177.76/177.64 inference(scs_inference,[],[104,267,3112,3247,3363,3060,3079,3169,3077,873,756,746,3049,210,125,124,179,174,183,175,180,188])).
% 177.76/177.64 cnf(3406,plain,
% 177.76/177.64 (P7(f10(x34061),f29(x34061))),
% 177.76/177.64 inference(rename_variables,[],[107])).
% 177.76/177.64 cnf(3409,plain,
% 177.76/177.64 (P14(f24(a2,a2),f29(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[104,108,265,107,267,3112,3247,3353,3363,3348,3060,3079,3169,3077,2809,3139,3136,873,756,746,3049,210,125,124,179,174,183,175,180,188,30,160,55,70,71])).
% 177.76/177.64 cnf(3411,plain,
% 177.76/177.64 (P7(f10(f24(a2,a2)),f29(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[104,108,265,107,3406,267,3112,3247,3353,3363,3348,3060,3079,3169,3077,2809,3139,3136,873,756,746,3049,210,125,124,179,174,183,175,180,188,30,160,55,70,71,56])).
% 177.76/177.64 cnf(3413,plain,
% 177.76/177.64 (E(f28(x34131,f4(a2,x34132),f4(a2,x34133)),f28(x34131,f4(a22,x34132),f4(a22,x34133)))),
% 177.76/177.64 inference(scs_inference,[],[104,108,265,107,3406,267,3112,3335,3338,3247,3353,3363,3348,3060,3079,3169,3077,2809,3139,3136,873,756,746,3049,210,125,124,179,174,183,175,180,188,30,160,55,70,71,56,3])).
% 177.76/177.64 cnf(3417,plain,
% 177.76/177.64 (P13(f5(f27(a1)),x34171)+~E(f27(a1),x34171)),
% 177.76/177.64 inference(scs_inference,[],[104,108,265,107,3406,267,3367,647,3112,3335,3338,3247,3353,3363,3348,3060,3079,3169,3077,2809,3139,3136,873,756,746,3049,210,125,124,179,174,183,175,180,188,30,160,55,70,71,56,3,2,36])).
% 177.76/177.64 cnf(3420,plain,
% 177.76/177.64 (~P12(f23(f29(a9)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[104,108,265,107,3406,267,3367,647,3112,3335,3338,3247,3353,3363,3348,3043,3060,3079,3169,3077,2809,3139,3136,873,756,746,3049,314,210,125,124,179,174,183,175,180,188,30,160,55,70,71,56,3,2,36,182,51])).
% 177.76/177.64 cnf(3429,plain,
% 177.76/177.64 (~P9(f23(f29(a9)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[1697,322,3049,482,910,128,180])).
% 177.76/177.64 cnf(3431,plain,
% 177.76/177.64 (~P14(f29(f30(a12)),f7(f26(a12)))),
% 177.76/177.64 inference(scs_inference,[],[2706,1732,1697,322,3049,482,910,128,180,188])).
% 177.76/177.64 cnf(3437,plain,
% 177.76/177.64 (~E(f23(f7(a11)),f29(f7(a11)))),
% 177.76/177.64 inference(scs_inference,[],[106,2609,3259,3409,2706,1732,1697,322,3049,482,910,128,180,188,160,167,55])).
% 177.76/177.64 cnf(3438,plain,
% 177.76/177.64 (P7(f23(x34381),x34381)),
% 177.76/177.64 inference(rename_variables,[],[106])).
% 177.76/177.64 cnf(3443,plain,
% 177.76/177.64 (P7(f23(f24(a2,x34431)),f24(a22,x34431))),
% 177.76/177.64 inference(scs_inference,[],[226,106,3438,2609,3259,3290,3409,2706,3302,1732,1697,322,296,2250,3049,482,910,128,180,188,160,167,55,70,71,56])).
% 177.76/177.64 cnf(3446,plain,
% 177.76/177.64 (E(f28(f4(a22,x34461),x34462,x34463),f28(f4(a2,x34461),x34462,x34463))),
% 177.76/177.64 inference(scs_inference,[],[226,265,106,3438,2609,3339,3259,3290,3409,2706,3313,3302,1732,1697,322,296,2250,3049,482,910,128,180,188,160,167,55,70,71,56,3,2])).
% 177.76/177.64 cnf(3466,plain,
% 177.76/177.64 (P8(f31(a12),f32(f30(a12),f30(a12)),f30(a12))),
% 177.76/177.64 inference(scs_inference,[],[1815,206])).
% 177.76/177.64 cnf(3470,plain,
% 177.76/177.64 (~P6(f29(a11),f29(a22))),
% 177.76/177.64 inference(scs_inference,[],[1815,2295,3348,206,207,168])).
% 177.76/177.64 cnf(3472,plain,
% 177.76/177.64 (~P9(a22,f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[1815,2295,3348,1299,3049,482,910,206,207,168,180])).
% 177.76/177.64 cnf(3474,plain,
% 177.76/177.64 (~P7(f29(f30(a16)),f29(f29(a9)))),
% 177.76/177.64 inference(scs_inference,[],[1815,2295,3348,1299,3136,1237,3049,482,910,206,207,168,180,188])).
% 177.76/177.64 cnf(3475,plain,
% 177.76/177.64 (P14(x34751,f29(x34751))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3484,plain,
% 177.76/177.64 (P14(f23(f26(a12)),f26(a12))),
% 177.76/177.64 inference(scs_inference,[],[251,109,106,1815,2295,2977,3429,3348,1299,719,3136,1237,1419,3049,482,910,206,207,168,180,188,48,32,28,160,167])).
% 177.76/177.64 cnf(3487,plain,
% 177.76/177.64 (~P6(f29(a11),f29(a2))),
% 177.76/177.64 inference(scs_inference,[],[251,109,106,1815,2295,2977,3429,3348,1299,719,3136,1237,297,1419,3049,482,910,206,207,168,180,188,48,32,28,160,167,64])).
% 177.76/177.64 cnf(3490,plain,
% 177.76/177.64 (P14(f10(f32(a22,a22)),f29(f32(a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[251,109,107,106,1815,2295,2977,3429,3337,3009,3348,1299,1061,719,3136,1237,297,1419,3049,482,910,206,207,168,180,188,48,32,28,160,167,64,55,70])).
% 177.76/177.64 cnf(3493,plain,
% 177.76/177.64 (~E(f29(f32(a11,a11)),f23(f32(a11,a11)))),
% 177.76/177.64 inference(scs_inference,[],[251,109,107,106,1815,920,2295,2977,3429,3337,3009,3348,1299,1061,719,3136,3475,1237,297,1419,3049,482,910,206,207,168,180,188,48,32,28,160,167,64,55,70,71])).
% 177.76/177.64 cnf(3505,plain,
% 177.76/177.64 (~P9(a2,f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[251,109,107,267,265,106,1815,920,3382,2585,2295,2977,3429,3209,3337,3009,2158,3348,2889,1299,1061,1718,719,1601,3136,3475,1237,649,297,1419,3049,390,482,910,206,207,168,180,188,48,32,28,160,167,64,55,70,71,56,3,2,39,215,169,58,47])).
% 177.76/177.64 cnf(3509,plain,
% 177.76/177.64 (~P4(f27(a15))+~P16(f17(f27(a15)))),
% 177.76/177.64 inference(scs_inference,[],[100,251,109,107,267,265,106,1815,920,3382,2585,2295,2977,3429,3209,3337,3009,2158,3348,2889,1299,1061,1718,719,1601,3136,3475,1237,649,297,1419,3049,466,390,482,910,206,207,168,180,188,48,32,28,160,167,64,55,70,71,56,3,2,39,215,169,58,47,1807,173,139])).
% 177.76/177.64 cnf(3530,plain,
% 177.76/177.64 (P11(f24(x35301,f27(a13)),x35301,f28(f30(a13),f31(a13),f33(a13)))),
% 177.76/177.64 inference(scs_inference,[],[249,2164,295,21,24,14,12,9,6,25,20,7,34])).
% 177.76/177.64 cnf(3531,plain,
% 177.76/177.64 (P11(f24(x35311,x35312),x35311,x35312)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(3532,plain,
% 177.76/177.64 (P11(f24(f27(a13),x35321),f28(f30(a13),f31(a13),f33(a13)),x35321)),
% 177.76/177.64 inference(scs_inference,[],[249,3531,2164,295,21,24,14,12,9,6,25,20,7,34,33])).
% 177.76/177.64 cnf(3533,plain,
% 177.76/177.64 (P11(f24(x35331,x35332),x35331,x35332)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(3534,plain,
% 177.76/177.64 (P8(f4(f27(a13),x35341),f28(f30(a13),f31(a13),f33(a13)),x35341)),
% 177.76/177.64 inference(scs_inference,[],[249,3531,251,2164,295,21,24,14,12,9,6,25,20,7,34,33,29])).
% 177.76/177.64 cnf(3535,plain,
% 177.76/177.64 (P8(f4(x35351,x35352),x35351,x35352)),
% 177.76/177.64 inference(rename_variables,[],[251])).
% 177.76/177.64 cnf(3536,plain,
% 177.76/177.64 (~P9(f23(f29(a22)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[249,3531,251,1370,2164,295,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180])).
% 177.76/177.64 cnf(3538,plain,
% 177.76/177.64 (P7(f10(f32(a22,a22)),f29(f32(a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[249,3531,251,267,3490,1370,2164,295,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180,188])).
% 177.76/177.64 cnf(3539,plain,
% 177.76/177.64 (P7(x35391,f29(x35391))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3541,plain,
% 177.76/177.64 (P11(f24(x35411,f4(a22,x35412)),x35411,f4(a2,x35412))),
% 177.76/177.64 inference(scs_inference,[],[249,3531,3533,251,267,3490,3346,1370,2164,295,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180,188,32])).
% 177.76/177.64 cnf(3548,plain,
% 177.76/177.64 (P14(f10(f31(a2)),f29(f31(a22)))),
% 177.76/177.64 inference(scs_inference,[],[249,3531,3533,251,3535,115,267,3490,2578,1579,3346,2444,1370,2164,295,1419,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180,188,32,28,59,160,167])).
% 177.76/177.64 cnf(3554,plain,
% 177.76/177.64 (~P14(f29(x35541),x35541)),
% 177.76/177.64 inference(rename_variables,[],[3139])).
% 177.76/177.64 cnf(3561,plain,
% 177.76/177.64 (E(f28(x35611,f4(a2,x35612),f4(a2,x35613)),f28(x35611,f4(a22,x35612),f4(a22,x35613)))),
% 177.76/177.64 inference(rename_variables,[],[3413])).
% 177.76/177.64 cnf(3562,plain,
% 177.76/177.64 (E(f28(x35621,f4(a22,x35622),f4(a22,x35623)),f28(x35621,f4(a2,x35622),f4(a2,x35623)))),
% 177.76/177.64 inference(scs_inference,[],[249,3531,3533,251,3535,115,107,267,3539,3490,3446,2578,3413,3561,3474,1579,3346,1840,2444,332,2514,1370,3139,3554,2164,295,1419,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180,188,32,28,59,160,167,55,70,71,56,3,2])).
% 177.76/177.64 cnf(3564,plain,
% 177.76/177.64 (P6(f27(f24(a22,a22)),f27(f24(a22,a2)))),
% 177.76/177.64 inference(scs_inference,[],[259,249,3531,3533,251,3535,115,107,267,3539,105,3490,3144,3446,2578,3413,3561,3474,1579,3346,1840,2444,332,2514,1370,3139,3554,2164,295,1419,3049,482,910,21,24,14,12,9,6,25,20,7,34,33,29,180,188,32,28,59,160,167,55,70,71,56,3,2,69,63])).
% 177.76/177.64 cnf(3580,plain,
% 177.76/177.64 (P5(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3386,326,157,122])).
% 177.76/177.64 cnf(3582,plain,
% 177.76/177.64 (P3(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3386,326,157,122,119])).
% 177.76/177.64 cnf(3584,plain,
% 177.76/177.64 (E(f27(f24(a22,x35841)),f27(f24(a2,x35841)))),
% 177.76/177.64 inference(scs_inference,[],[3386,326,724,157,122,119,15])).
% 177.76/177.64 cnf(3585,plain,
% 177.76/177.64 (P11(f4(x35851,f24(a2,a2)),x35851,f24(a2,a22))),
% 177.76/177.64 inference(scs_inference,[],[3171,3386,326,724,157,122,119,15,34])).
% 177.76/177.64 cnf(3591,plain,
% 177.76/177.64 (~P14(f29(f30(a1)),f7(f17(a1)))),
% 177.76/177.64 inference(scs_inference,[],[265,3171,1773,2963,2201,3386,326,724,157,122,119,15,34,33,29,188])).
% 177.76/177.64 cnf(3593,plain,
% 177.76/177.64 (P10(f25(f27(a12)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[265,3171,1773,2963,2201,3386,3073,326,724,3049,482,910,157,122,119,15,34,33,29,188,180])).
% 177.76/177.64 cnf(3595,plain,
% 177.76/177.64 (~P9(a22,f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[265,3171,1773,3472,2963,2201,3386,3073,326,724,1419,3049,482,910,157,122,119,15,34,33,29,188,180,48])).
% 177.76/177.64 cnf(3599,plain,
% 177.76/177.64 (P7(f23(f10(a2)),f10(a22))),
% 177.76/177.64 inference(scs_inference,[],[107,265,106,3171,1773,3472,2963,1956,2201,3166,3386,3353,3073,326,724,301,1419,3049,482,910,157,122,119,15,34,33,29,188,180,48,55,70,56])).
% 177.76/177.64 cnf(3605,plain,
% 177.76/177.64 (~P25(f28(f30(a12),f33(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[107,265,106,3171,3493,1773,3472,2963,1956,2382,2201,3166,3386,3353,2636,3073,326,1767,1722,649,724,301,1419,1052,3049,466,482,910,157,122,119,15,34,33,29,188,180,48,55,70,56,3,2,162,215])).
% 177.76/177.64 cnf(3628,plain,
% 177.76/177.64 (P4(f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,3169,756,746,214,208,121])).
% 177.76/177.64 cnf(3630,plain,
% 177.76/177.64 (~P25(f28(f30(a1),f33(a1),f31(a1)))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,893,3169,2361,756,746,748,779,214,208,121,215])).
% 177.76/177.64 cnf(3633,plain,
% 177.76/177.64 (E(f28(x36331,f24(a2,x36332),x36333),f28(x36331,f24(a22,x36332),x36333))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,893,3169,2361,296,756,746,748,779,214,208,121,215,23,18])).
% 177.76/177.64 cnf(3634,plain,
% 177.76/177.64 (E(f4(f24(a2,x36341),x36342),f4(f24(a22,x36341),x36342))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,893,3169,2361,296,756,746,748,779,214,208,121,215,23,18,11])).
% 177.76/177.64 cnf(3636,plain,
% 177.76/177.64 (E(f28(x36361,x36362,f24(a2,x36363)),f28(x36361,x36362,f24(a22,x36363)))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,893,3169,2361,296,756,746,748,779,214,208,121,215,23,18,11,4,19])).
% 177.76/177.64 cnf(3637,plain,
% 177.76/177.64 (E(f28(f24(a2,x36371),x36372,x36373),f28(f24(a22,x36371),x36372,x36373))),
% 177.76/177.64 inference(scs_inference,[],[3580,3177,1967,893,3169,2361,296,756,746,748,779,214,208,121,215,23,18,11,4,19,17])).
% 177.76/177.64 cnf(3647,plain,
% 177.76/177.64 (E(f29(f28(x36471,x36472,a2)),f29(f28(x36471,x36472,a22)))),
% 177.76/177.64 inference(scs_inference,[],[269,104,3580,3593,3177,1967,893,3169,2361,296,286,756,746,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8])).
% 177.76/177.64 cnf(3648,plain,
% 177.76/177.64 (~P7(f29(a11),f29(f29(a9)))),
% 177.76/177.64 inference(scs_inference,[],[269,104,3580,3593,3177,1967,893,3169,1121,2361,3136,296,286,756,746,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188])).
% 177.76/177.64 cnf(3651,plain,
% 177.76/177.64 (~P14(f29(a11),f29(f29(a9)))),
% 177.76/177.64 inference(scs_inference,[],[269,104,3580,3593,3177,1967,893,3169,1121,2361,3136,296,286,756,746,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188,160])).
% 177.76/177.64 cnf(3653,plain,
% 177.76/177.64 (P7(f28(x36531,x36532,a22),f29(f28(x36531,x36532,a2)))),
% 177.76/177.64 inference(scs_inference,[],[269,104,267,3580,3593,3177,1967,893,3169,1121,2361,3136,296,286,756,746,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188,160,55])).
% 177.76/177.64 cnf(3654,plain,
% 177.76/177.64 (P7(x36541,f29(x36541))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3655,plain,
% 177.76/177.64 (P14(f28(a22,a22,x36551),f29(f28(a22,a2,x36551)))),
% 177.76/177.64 inference(scs_inference,[],[269,104,267,3580,3593,3177,1967,2519,893,3169,1121,2361,3136,296,286,288,756,746,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188,160,55,70])).
% 177.76/177.64 cnf(3663,plain,
% 177.76/177.64 (~P14(f29(f28(a22,a2,x36631)),f28(a22,a22,x36631))),
% 177.76/177.64 inference(scs_inference,[],[259,269,104,267,3654,2665,3580,3593,3177,1967,2904,2519,893,3169,1121,2361,3136,296,286,288,756,746,591,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188,160,55,70,56,3,2,178,169])).
% 177.76/177.64 cnf(3666,plain,
% 177.76/177.64 (P6(x36661,x36661)),
% 177.76/177.64 inference(rename_variables,[],[105])).
% 177.76/177.64 cnf(3667,plain,
% 177.76/177.64 (P6(a2,a22)),
% 177.76/177.64 inference(scs_inference,[],[259,269,104,267,3654,265,105,3666,2665,3580,3593,3177,1967,2904,3470,2519,893,3169,1121,2361,3136,296,286,288,756,746,591,748,779,3049,482,910,214,208,121,215,23,18,11,4,19,17,5,26,22,16,10,13,182,42,8,188,160,55,70,56,3,2,178,169,63,64])).
% 177.76/177.64 cnf(3688,plain,
% 177.76/177.64 (P6(f10(f32(a22,a22)),f32(a2,a2))),
% 177.76/177.64 inference(scs_inference,[],[3538,3663,3466,1718,1601,519,209,174])).
% 177.76/177.64 cnf(3694,plain,
% 177.76/177.64 (P8(f4(x36941,f28(x36942,a2,x36943)),x36941,f28(x36942,a22,x36943))),
% 177.76/177.64 inference(scs_inference,[],[251,3538,3663,3667,3466,1718,893,1601,287,519,209,174,183,168,30])).
% 177.76/177.64 cnf(3702,plain,
% 177.76/177.64 (P7(f10(x37021),f29(x37021))),
% 177.76/177.64 inference(rename_variables,[],[107])).
% 177.76/177.64 cnf(3705,plain,
% 177.76/177.64 (P7(f10(f28(x37051,x37052,a2)),f29(f28(x37051,x37052,a22)))),
% 177.76/177.64 inference(scs_inference,[],[251,107,3702,267,3538,3647,3648,3655,3663,3667,3466,2334,1446,1718,893,1601,3139,287,519,209,174,183,168,30,188,160,55,70,56])).
% 177.76/177.64 cnf(3721,plain,
% 177.76/177.64 (E(f31(a12),x37211)+~E(f28(f30(a12),f31(a12),f31(a12)),f28(x37212,x37211,x37213))+P27(f27(f27(a15)))),
% 177.76/177.64 inference(scs_inference,[],[251,107,3702,267,3538,1095,2312,3633,3636,3647,3648,3655,3663,3667,3505,3466,3593,3126,2334,1446,3188,1701,1173,1087,2477,1718,893,1601,3139,3136,287,1052,466,519,209,174,183,168,30,188,160,55,70,56,3,2,148,27,58,50,47,71,152,213])).
% 177.76/177.64 cnf(3732,plain,
% 177.76/177.64 (P2(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3466,657,2636,1767,1722,1718,1601,128,209])).
% 177.76/177.64 cnf(3738,plain,
% 177.76/177.64 (~P14(f29(f7(a11)),f7(f7(a11)))),
% 177.76/177.64 inference(scs_inference,[],[279,251,3292,3259,3648,3466,657,2636,1767,1722,1718,1601,128,209,168,30,188])).
% 177.76/177.64 cnf(3742,plain,
% 177.76/177.64 (P14(f28(a22,a22,a2),f29(f28(a22,a2,a22)))),
% 177.76/177.64 inference(scs_inference,[],[279,251,3359,3292,3259,3648,3647,3655,3466,657,2636,1767,1722,1718,1601,128,209,168,30,188,167,71])).
% 177.76/177.64 cnf(3744,plain,
% 177.76/177.64 (E(f29(f28(x37441,x37442,a2)),f29(f28(x37441,x37442,a22)))),
% 177.76/177.64 inference(rename_variables,[],[3647])).
% 177.76/177.64 cnf(3749,plain,
% 177.76/177.64 (E(f28(f24(a2,x37491),f4(a22,x37492),f4(a22,x37493)),f28(f24(a22,x37491),f4(a2,x37492),f4(a2,x37493)))),
% 177.76/177.64 inference(scs_inference,[],[279,251,106,3359,3637,3562,3292,2614,3259,3648,3647,3744,3655,3466,657,2636,1767,1722,1718,1601,128,209,168,30,188,167,71,70,56,3])).
% 177.76/177.64 cnf(3752,plain,
% 177.76/177.64 (E(f26(a22),f26(a2))),
% 177.76/177.64 inference(scs_inference,[],[279,251,106,3359,3637,3562,3292,2614,3259,3648,3647,3744,3655,3466,657,2636,1767,1722,1718,1601,128,209,168,30,188,167,71,70,56,3,2])).
% 177.76/177.64 cnf(3772,plain,
% 177.76/177.64 (P12(f25(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[113,3585,3534,3593,75,80,206,207,187])).
% 177.76/177.64 cnf(3774,plain,
% 177.76/177.64 (~P7(f29(f29(x37741)),f29(f29(a22)))),
% 177.76/177.64 inference(scs_inference,[],[113,3585,3534,3593,1091,3136,75,80,206,207,187,188])).
% 177.76/177.64 cnf(3775,plain,
% 177.76/177.64 (P14(x37751,f29(x37751))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3779,plain,
% 177.76/177.64 (P14(f23(f17(a12)),f17(a12))),
% 177.76/177.64 inference(scs_inference,[],[106,113,3585,3534,3593,1675,1091,3136,75,80,206,207,187,188,160,167])).
% 177.76/177.64 cnf(3786,plain,
% 177.76/177.64 (P14(f26(a22),f29(f26(a2)))),
% 177.76/177.64 inference(scs_inference,[],[279,107,106,113,3585,3534,3593,1675,1091,3139,3136,3775,75,80,206,207,187,188,160,167,55,71,70])).
% 177.76/177.64 cnf(3789,plain,
% 177.76/177.64 (~E(f23(f29(a2)),f5(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[279,107,106,113,3585,2433,3534,3021,3593,1675,1091,3139,3136,3775,390,75,80,206,207,187,188,160,167,55,71,70,3,2])).
% 177.76/177.64 cnf(3791,plain,
% 177.76/177.64 (P7(f26(f27(a12)),f29(f30(a12)))),
% 177.76/177.64 inference(scs_inference,[],[279,107,106,113,3585,3275,2433,3534,3021,3593,1586,1675,1091,3139,3136,3775,390,75,80,206,207,187,188,160,167,55,71,70,3,2,66,190])).
% 177.76/177.64 cnf(3796,plain,
% 177.76/177.64 (~P9(a2,f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[279,107,265,106,113,3585,3275,2433,3534,3595,3021,2017,3593,1586,1675,2889,1091,3139,3136,3775,390,75,80,206,207,187,188,160,167,55,71,70,3,2,66,190,169,58,47])).
% 177.76/177.64 cnf(3808,plain,
% 177.76/177.64 (P13(f25(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[113,3772,75,80,181])).
% 177.76/177.64 cnf(3812,plain,
% 177.76/177.64 (E(f4(x38121,f26(a22)),f4(x38121,f26(a2)))),
% 177.76/177.64 inference(scs_inference,[],[113,3752,3772,75,80,181,21,14,12])).
% 177.76/177.64 cnf(3815,plain,
% 177.76/177.64 (E(f24(f26(a22),x38151),f24(f26(a2),x38151))),
% 177.76/177.64 inference(scs_inference,[],[113,3752,3772,75,80,181,21,14,12,6,24,9])).
% 177.76/177.64 cnf(3820,plain,
% 177.76/177.64 (P11(f4(f24(a22,x38201),x38202),f24(a2,x38201),x38202)),
% 177.76/177.64 inference(scs_inference,[],[109,113,3752,3772,3536,3634,1419,75,80,181,21,14,12,6,24,9,25,20,7,48,32])).
% 177.76/177.64 cnf(3821,plain,
% 177.76/177.64 (E(f4(f24(a2,x38211),x38212),f4(f24(a22,x38211),x38212))),
% 177.76/177.64 inference(rename_variables,[],[3634])).
% 177.76/177.64 cnf(3823,plain,
% 177.76/177.64 (P8(f4(f24(a22,x38231),x38232),f24(a2,x38231),x38232)),
% 177.76/177.64 inference(scs_inference,[],[251,109,113,3752,3772,3536,3634,3821,1419,75,80,181,21,14,12,6,24,9,25,20,7,48,32,28])).
% 177.76/177.64 cnf(3827,plain,
% 177.76/177.64 (P7(x38271,f29(x38271))),
% 177.76/177.64 inference(rename_variables,[],[267])).
% 177.76/177.64 cnf(3833,plain,
% 177.76/177.64 (P14(f10(f30(a2)),f29(f30(a22)))),
% 177.76/177.64 inference(scs_inference,[],[251,109,115,267,113,2824,3786,3752,3772,3742,3536,3634,3821,2380,1419,75,80,181,21,14,12,6,24,9,25,20,7,48,32,28,188,160,169,167])).
% 177.76/177.64 cnf(3836,plain,
% 177.76/177.64 (P7(f6(a22),f29(f6(a2)))),
% 177.76/177.64 inference(scs_inference,[],[280,251,109,115,267,3827,113,2824,3786,3752,3772,3742,3536,3634,3821,2380,1419,75,80,181,21,14,12,6,24,9,25,20,7,48,32,28,188,160,169,167,55])).
% 177.76/177.64 cnf(3868,plain,
% 177.76/177.64 (P5(f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[277,113,3808,516,75,80,157,190,122])).
% 177.76/177.64 cnf(3870,plain,
% 177.76/177.64 (P3(f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[277,113,3808,516,75,80,157,190,122,119])).
% 177.76/177.64 cnf(3874,plain,
% 177.76/177.64 (E(f27(f26(a2)),f27(f26(a22)))),
% 177.76/177.64 inference(scs_inference,[],[279,277,113,3774,3808,516,75,80,157,190,122,119,168,15])).
% 177.76/177.64 cnf(3876,plain,
% 177.76/177.64 (P11(f24(x38761,x38762),x38761,x38762)),
% 177.76/177.64 inference(rename_variables,[],[249])).
% 177.76/177.64 cnf(3884,plain,
% 177.76/177.64 (P7(f23(f5(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,251,280,109,279,108,277,113,3812,3815,3774,3808,575,2809,516,75,80,157,190,122,119,168,15,34,33,29,32,28,188])).
% 177.76/177.64 cnf(3897,plain,
% 177.76/177.64 (P18(f31(f27(a1)),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,2809,3353,516,75,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581])).
% 177.76/177.64 cnf(3898,plain,
% 177.76/177.64 (P20(f31(a13),f32(f30(a13),f30(a13)),x38981)+~E(f30(a13),x38981)),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,2809,1056,3353,516,75,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581,45])).
% 177.76/177.64 cnf(3905,plain,
% 177.76/177.64 (~P6(f29(f29(x39051)),f29(a2))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,356,362,358,2809,1056,3353,516,297,75,328,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581,45,173,152,154,64])).
% 177.76/177.64 cnf(3907,plain,
% 177.76/177.64 (P17(f31(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,356,362,358,2809,1056,3353,516,297,75,328,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581,45,173,152,154,64,2863,127])).
% 177.76/177.64 cnf(3909,plain,
% 177.76/177.64 (P17(f33(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,356,362,358,2809,1056,3353,516,297,75,328,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581,45,173,152,154,64,2863,127,126])).
% 177.76/177.64 cnf(3913,plain,
% 177.76/177.64 (E(f33(a18),x39131)+~E(f28(f30(a18),f33(a18),f33(a18)),f28(x39132,x39133,x39131))),
% 177.76/177.64 inference(scs_inference,[],[249,3876,216,251,280,109,279,108,267,277,113,3088,3749,3812,3815,3774,3122,3738,3779,3808,2252,575,3335,356,2881,362,358,2809,1056,3353,516,1417,1358,297,78,75,328,80,157,190,122,119,168,15,34,33,29,32,28,188,167,55,70,71,3,2,2581,45,173,152,154,64,2863,127,126,189,212])).
% 177.76/177.64 cnf(3926,plain,
% 177.76/177.64 (P4(f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[3243,3868,360,328,172,208,121])).
% 177.76/177.64 cnf(3928,plain,
% 177.76/177.64 (~P10(f23(f29(a9)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3243,3868,360,662,3386,3079,3077,328,172,208,121,177])).
% 177.76/177.64 cnf(3932,plain,
% 177.76/177.64 (E(f28(x39321,f26(a2),x39322),f28(x39321,f26(a22),x39322))),
% 177.76/177.64 inference(scs_inference,[],[279,3905,3243,3868,360,662,3386,3079,3077,328,172,208,121,177,174,18])).
% 177.76/177.64 cnf(3933,plain,
% 177.76/177.64 (E(f10(f26(a2)),f10(f26(a22)))),
% 177.76/177.64 inference(scs_inference,[],[279,3905,3243,3868,360,662,3386,3079,3077,328,172,208,121,177,174,18,4])).
% 177.76/177.64 cnf(3936,plain,
% 177.76/177.64 (E(f28(x39361,x39362,f26(a2)),f28(x39361,x39362,f26(a22)))),
% 177.76/177.64 inference(scs_inference,[],[279,3905,3243,3868,360,662,3386,3079,3077,328,172,208,121,177,174,18,4,23,11,19])).
% 177.76/177.64 cnf(3947,plain,
% 177.76/177.64 (~P9(f23(f29(a9)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[269,249,281,279,3905,3243,3868,360,662,3386,3079,3077,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180])).
% 177.76/177.64 cnf(3952,plain,
% 177.76/177.64 (~P7(f29(f29(x39521)),f29(f29(a9)))),
% 177.76/177.64 inference(scs_inference,[],[269,249,281,251,279,3905,3243,3868,360,700,662,3386,3079,3077,3136,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188])).
% 177.76/177.64 cnf(3953,plain,
% 177.76/177.64 (P14(x39531,f29(x39531))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(3957,plain,
% 177.76/177.64 (P14(f23(f30(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[269,249,281,251,279,106,3905,3243,3868,360,700,662,3386,893,3079,3077,3136,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188,160,167])).
% 177.76/177.64 cnf(3958,plain,
% 177.76/177.64 (P7(f23(x39581),x39581)),
% 177.76/177.64 inference(rename_variables,[],[106])).
% 177.76/177.64 cnf(3961,plain,
% 177.76/177.64 (P6(x39611,x39611)),
% 177.76/177.64 inference(rename_variables,[],[105])).
% 177.76/177.64 cnf(3966,plain,
% 177.76/177.64 (P14(f25(a22),f29(f25(a2)))),
% 177.76/177.64 inference(scs_inference,[],[105,3961,269,249,281,251,279,107,106,3905,3243,3868,360,700,662,3386,893,3079,3077,3136,3953,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188,160,167,64,63,55,70])).
% 177.76/177.64 cnf(3973,plain,
% 177.76/177.64 (~P16(f17(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[105,3961,269,249,281,251,279,107,106,1069,3789,3905,3243,3868,360,700,662,3386,893,3079,3139,3077,3136,3953,2095,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188,160,167,64,63,55,70,71,3,2,35,139])).
% 177.76/177.64 cnf(3975,plain,
% 177.76/177.64 (~P12(f23(f29(a9)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[105,3961,269,249,281,251,279,107,106,1069,3789,3905,3243,3868,360,700,662,3386,893,3079,3139,3077,3136,3953,2095,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188,160,167,64,63,55,70,71,3,2,35,139,175])).
% 177.76/177.64 cnf(3983,plain,
% 177.76/177.64 (~P12(f23(f29(a9)),f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[105,3961,269,249,281,251,279,107,106,3958,1069,3789,3905,3243,3868,360,700,662,3386,893,3079,3139,3077,3136,3953,2095,328,172,208,121,177,174,18,4,23,11,19,5,17,26,22,16,10,13,42,34,33,180,29,8,188,160,167,64,63,55,70,71,3,2,35,139,175,168,169,56,3111])).
% 177.76/177.64 cnf(3991,plain,
% 177.76/177.64 (~P9(f23(f29(a2)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[2061,3386,3079,3077,176])).
% 177.76/177.64 cnf(3995,plain,
% 177.76/177.64 (~P12(f23(f29(a2)),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[2936,2061,3386,3079,3077,176,174,175])).
% 177.76/177.64 cnf(4000,plain,
% 177.76/177.64 (~P12(f23(f29(a9)),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[269,2936,3952,3983,2061,3386,3079,3077,1419,176,174,175,168,42,51])).
% 177.76/177.64 cnf(4001,plain,
% 177.76/177.64 (P7(f25(a22),f29(f25(a2)))),
% 177.76/177.64 inference(scs_inference,[],[269,267,2936,3952,3966,3983,2061,3386,3079,3077,1419,176,174,175,168,42,51,188])).
% 177.76/177.64 cnf(4008,plain,
% 177.76/177.64 (P14(f10(f24(a2,a2)),f29(f24(a22,a22)))),
% 177.76/177.64 inference(scs_inference,[],[269,115,267,2936,3411,3952,3966,3983,2812,2061,3386,3079,3077,1419,176,174,175,168,42,51,188,160,169,167])).
% 177.76/177.64 cnf(4011,plain,
% 177.76/177.64 (P6(f27(f24(a22,a22)),f27(f24(a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[269,115,267,3564,2936,3411,3584,3952,3966,3983,2812,2061,3386,3079,3077,1419,176,174,175,168,42,51,188,160,169,167,64])).
% 177.76/177.64 cnf(4012,plain,
% 177.76/177.64 (E(f27(f24(a22,x40121)),f27(f24(a2,x40121)))),
% 177.76/177.64 inference(rename_variables,[],[3584])).
% 177.76/177.64 cnf(4013,plain,
% 177.76/177.64 (P6(f27(f24(a2,a22)),f27(f24(a22,a2)))),
% 177.76/177.64 inference(scs_inference,[],[269,115,267,3564,2936,3411,3584,4012,3952,3966,3983,2812,2061,3386,3079,3077,1419,176,174,175,168,42,51,188,160,169,167,64,63])).
% 177.76/177.64 cnf(4027,plain,
% 177.76/177.64 (~E(f25(f27(a12)),f23(f29(a22)))),
% 177.76/177.64 inference(scs_inference,[],[237,269,115,107,267,3564,1779,3437,2936,3411,3932,3936,3584,4012,3952,3928,3933,3957,3966,3983,3772,2812,3112,1311,2061,3386,3139,3136,3079,3077,1419,176,174,175,168,42,51,188,160,169,167,64,63,55,71,70,3,2,54,58,50])).
% 177.76/177.64 cnf(4035,plain,
% 177.76/177.64 (E(f27(a1),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[314,2])).
% 177.76/177.64 cnf(4040,plain,
% 177.76/177.64 (~P7(a11,f29(f23(f29(a22))))),
% 177.76/177.64 inference(scs_inference,[],[314,3564,3952,1451,2,160,168,174])).
% 177.76/177.64 cnf(4046,plain,
% 177.76/177.64 (P2(f27(f27(f27(a12))))),
% 177.76/177.64 inference(scs_inference,[],[314,3386,649,3564,3952,1451,2,160,168,174,128,125,124])).
% 177.76/177.64 cnf(4053,plain,
% 177.76/177.64 (P14(f32(a2,x40531),f29(f32(a22,x40531)))),
% 177.76/177.64 inference(scs_inference,[],[314,3386,649,294,293,3136,922,3564,3952,1451,2,160,168,174,128,125,124,2982,3417,3,71])).
% 177.76/177.64 cnf(4054,plain,
% 177.76/177.64 (P14(x40541,f29(x40541))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(4063,plain,
% 177.76/177.64 (~P7(f29(f30(a12)),f30(a12))),
% 177.76/177.64 inference(scs_inference,[],[314,3386,649,294,293,3136,4054,922,3348,754,3564,3259,3952,1451,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167])).
% 177.76/177.64 cnf(4066,plain,
% 177.76/177.64 (P7(f23(f17(a16)),f30(a16))),
% 177.76/177.64 inference(scs_inference,[],[314,3386,649,330,294,293,3136,4054,922,3348,754,2377,3564,3259,3952,1451,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188])).
% 177.76/177.64 cnf(4071,plain,
% 177.76/177.64 (P12(f5(f27(a1)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[314,3386,649,581,1478,330,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3952,1451,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51])).
% 177.76/177.64 cnf(4074,plain,
% 177.76/177.64 (P1(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[364,314,3386,649,581,1478,330,540,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3952,1451,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27])).
% 177.76/177.64 cnf(4076,plain,
% 177.76/177.64 (P3(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[364,314,3386,649,581,1478,330,356,540,3870,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3952,1451,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37])).
% 177.76/177.64 cnf(4080,plain,
% 177.76/177.64 (P24(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[364,314,3386,649,581,1478,362,330,356,579,354,540,3870,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3952,1451,3926,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52])).
% 177.76/177.64 cnf(4081,plain,
% 177.76/177.64 (~P16(f30(f28(f30(a1),f33(a1),f31(a1))))),
% 177.76/177.64 inference(scs_inference,[],[364,314,3386,649,581,1478,362,330,356,579,354,540,3870,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138])).
% 177.76/177.64 cnf(4084,plain,
% 177.76/177.64 (~P25(f27(f27(f27(a12))))),
% 177.76/177.64 inference(scs_inference,[],[364,314,3079,3386,649,581,1478,362,330,356,579,354,275,540,3870,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137])).
% 177.76/177.64 cnf(4086,plain,
% 177.76/177.64 (E(f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1))),f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[277,364,314,3079,3386,649,581,1478,362,330,356,579,354,275,540,3870,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192])).
% 177.76/177.64 cnf(4098,plain,
% 177.76/177.64 (P12(f5(f27(f27(a12))),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[277,364,314,3077,3079,3386,649,581,1478,362,330,356,579,3580,3095,354,275,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161])).
% 177.76/177.64 cnf(4108,plain,
% 177.76/177.64 (P10(f26(f27(f27(a12))),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[277,364,314,3077,3079,3386,649,581,1478,362,330,356,579,3580,3095,354,275,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164])).
% 177.76/177.64 cnf(4116,plain,
% 177.76/177.64 (P9(f25(f27(f27(a12))),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[277,364,314,3077,3079,3386,649,581,1478,362,330,356,579,3580,3095,354,275,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163])).
% 177.76/177.64 cnf(4120,plain,
% 177.76/177.64 (P9(f30(f27(f27(a12))),f27(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162])).
% 177.76/177.64 cnf(4124,plain,
% 177.76/177.64 (~P10(f23(f29(a2)),f27(f27(f27(a12))))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187])).
% 177.76/177.64 cnf(4130,plain,
% 177.76/177.64 (P10(f5(f27(f27(a12))),f27(f27(f27(a12))))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185])).
% 177.76/177.64 cnf(4132,plain,
% 177.76/177.64 (~P14(f29(f32(a22,x41321)),f32(a2,x41321))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169])).
% 177.76/177.64 cnf(4134,plain,
% 177.76/177.64 (P11(f31(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197])).
% 177.76/177.64 cnf(4136,plain,
% 177.76/177.64 (E(f28(f30(f27(a1)),f31(f27(a1)),f33(f27(a1))),f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191])).
% 177.76/177.64 cnf(4139,plain,
% 177.76/177.64 (P7(f23(x41391),x41391)),
% 177.76/177.64 inference(rename_variables,[],[106])).
% 177.76/177.64 cnf(4141,plain,
% 177.76/177.64 (P20(f33(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194])).
% 177.76/177.64 cnf(4143,plain,
% 177.76/177.64 (P20(f31(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195])).
% 177.76/177.64 cnf(4145,plain,
% 177.76/177.64 (P11(f33(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196])).
% 177.76/177.64 cnf(4147,plain,
% 177.76/177.64 (~P14(f29(a2),f23(f29(f29(a2))))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625])).
% 177.76/177.64 cnf(4150,plain,
% 177.76/177.64 (~E(f26(f27(a12)),a22)),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50])).
% 177.76/177.64 cnf(4151,plain,
% 177.76/177.64 (P6(f23(f29(f28(f30(a1),f31(a1),f33(a1)))),f27(a1))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64])).
% 177.76/177.64 cnf(4154,plain,
% 177.76/177.64 (P26(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53])).
% 177.76/177.64 cnf(4155,plain,
% 177.76/177.64 (P27(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,358,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53,54])).
% 177.76/177.64 cnf(4156,plain,
% 177.76/177.64 (P5(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,358,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53,54,46])).
% 177.76/177.64 cnf(4157,plain,
% 177.76/177.64 (P2(f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,358,3868,330,356,579,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53,54,46,31])).
% 177.76/177.64 cnf(4168,plain,
% 177.76/177.64 (P1(f27(f27(f27(a12))))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,358,3868,330,356,579,463,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3628,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53,54,46,31,139,153,154,173,151,140])).
% 177.76/177.64 cnf(4172,plain,
% 177.76/177.64 (P10(f26(f27(a1)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.64 inference(scs_inference,[],[328,277,364,314,3077,3079,3386,649,581,3188,823,1478,1239,362,360,358,3868,330,356,579,463,3580,3095,354,275,3995,540,3582,3870,3066,3096,3098,294,293,3136,4054,922,220,3348,754,2377,3564,3259,426,3630,3952,1451,3926,3332,3628,3299,106,4139,105,267,3139,2,160,168,174,128,125,124,2982,3417,3,71,70,56,55,63,167,188,30,48,51,183,27,38,37,36,69,57,52,138,39,137,192,172,171,147,152,155,161,150,159,149,170,164,166,146,148,163,203,162,205,187,175,181,185,169,197,191,193,194,195,196,625,47,50,64,59,53,54,46,31,139,153,154,173,151,140,165,180])).
% 177.76/177.64 cnf(4202,plain,
% 177.76/177.64 (P14(x42021,f29(x42021))),
% 177.76/177.64 inference(rename_variables,[],[3136])).
% 177.76/177.64 cnf(4205,plain,
% 177.76/177.64 (P7(f23(f32(a2,a22)),f32(a22,a2))),
% 177.76/177.64 inference(scs_inference,[],[912,3075,3073,388,1173,3472,570,503,2133,390,299,3136,591,2114,1250,4035,3139,2745,2,160,174,47,59,71,48,70,58,3,56])).
% 177.76/177.64 cnf(4212,plain,
% 177.76/177.64 (P14(f23(f25(a12)),f30(a12))),
% 177.76/177.64 inference(scs_inference,[],[912,649,3075,3073,388,1173,3472,570,503,2133,390,299,3136,85,591,287,424,2114,1250,1685,4035,3139,2745,2,160,174,47,59,71,48,70,58,3,56,30,42,167])).
% 177.76/177.64 cnf(4214,plain,
% 177.76/177.64 (~P7(f29(x42141),f29(f10(x42142)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,3075,3073,388,1173,3472,570,503,2133,390,104,299,3136,4202,85,591,287,424,2114,1250,1685,4035,3139,2745,2,160,174,47,59,71,48,70,58,3,56,30,42,167,186])).
% 177.76/177.64 cnf(4229,plain,
% 177.76/177.64 (E(f4(x42291,a22),f4(x42291,a2))),
% 177.76/177.64 inference(scs_inference,[],[912,649,463,3075,3073,388,1173,3472,570,503,2133,4074,4157,390,104,917,299,3136,4202,85,591,287,424,2114,1250,1685,4035,3139,2745,2,160,174,47,59,71,48,70,58,3,56,30,42,167,186,182,169,168,20,25,7,24,9,14,6,12])).
% 177.76/177.64 cnf(4232,plain,
% 177.76/177.64 (P6(f24(a22,a22),f24(a2,a2))),
% 177.76/177.64 inference(scs_inference,[],[314,912,649,463,3075,3073,388,1173,3472,570,503,2133,4074,4157,390,104,917,299,295,3136,4202,85,591,287,424,2114,702,1250,1685,4035,3139,2745,2,160,174,47,59,71,48,70,58,3,56,30,42,167,186,182,169,168,20,25,7,24,9,14,6,12,21,50,63])).
% 177.76/177.64 cnf(4243,plain,
% 177.76/177.64 (E(f27(a12),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[1419,2])).
% 177.76/177.64 cnf(4249,plain,
% 177.76/177.64 (P3(f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,390,4232,4214,2,160,168,15,119])).
% 177.76/177.64 cnf(4251,plain,
% 177.76/177.64 (P5(f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,390,4232,4214,2,160,168,15,119,122])).
% 177.76/177.64 cnf(4253,plain,
% 177.76/177.64 (P4(f27(a12))),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,390,4232,4214,2,160,168,15,119,122,120])).
% 177.76/177.64 cnf(4260,plain,
% 177.76/177.64 (~E(f30(f27(a1)),a9)),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,1504,594,390,4232,4214,2,160,168,15,119,122,120,126,127,2484,50])).
% 177.76/177.64 cnf(4261,plain,
% 177.76/177.64 (~E(f29(f29(x42611)),x42611)),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,1504,594,390,3136,4232,4214,3139,2,160,168,15,119,122,120,126,127,2484,50,71])).
% 177.76/177.64 cnf(4263,plain,
% 177.76/177.64 (P7(f23(f4(a2,x42631)),f4(a22,x42631))),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,1504,594,390,294,3136,4232,4214,106,3139,2,160,168,15,119,122,120,126,127,2484,50,71,56])).
% 177.76/177.64 cnf(4267,plain,
% 177.76/177.64 (E(f10(x42671),a2)),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,1504,594,390,917,294,3136,4232,4214,106,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3])).
% 177.76/177.64 cnf(4272,plain,
% 177.76/177.64 (P24(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3049,1419,893,1504,594,456,390,104,917,294,295,3136,712,4232,4214,106,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52])).
% 177.76/177.64 cnf(4277,plain,
% 177.76/177.64 (P1(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,456,486,448,390,104,917,294,295,3136,712,4232,4214,106,115,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27])).
% 177.76/177.64 cnf(4278,plain,
% 177.76/177.64 (P7(f23(f17(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,456,891,486,448,390,104,917,294,295,3136,1781,712,4232,4214,106,115,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188])).
% 177.76/177.64 cnf(4281,plain,
% 177.76/177.64 (P28(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,486,448,476,390,104,917,294,295,3136,1781,3732,712,4232,4214,106,115,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133])).
% 177.76/177.64 cnf(4283,plain,
% 177.76/177.64 (~P14(f29(f30(a12)),f25(a12))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,486,448,476,390,104,917,294,295,3136,1781,3732,712,4232,4214,106,115,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169])).
% 177.76/177.64 cnf(4288,plain,
% 177.76/177.64 (E(f4(a2,x42881),f4(a22,x42881))),
% 177.76/177.64 inference(rename_variables,[],[294])).
% 177.76/177.64 cnf(4295,plain,
% 177.76/177.64 (P27(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,486,448,476,390,104,917,294,4288,295,3136,968,1781,2674,3732,712,4232,4214,106,115,3139,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132])).
% 177.76/177.64 cnf(4297,plain,
% 177.76/177.64 (P2(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,486,448,476,390,104,917,294,4288,295,3136,1601,1718,1767,1722,968,1781,2674,3732,712,4232,4214,106,115,3139,2636,3466,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132,209])).
% 177.76/177.64 cnf(4301,plain,
% 177.76/177.64 (E(f29(a22),f29(a2))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,382,486,448,476,390,104,917,294,4288,295,3136,1601,1718,1767,1722,968,1781,2674,3732,712,4232,4214,106,115,3139,2636,3466,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132,209,174,8])).
% 177.76/177.64 cnf(4307,plain,
% 177.76/177.64 (E(f28(f10(x43071),x43072,x43073),f28(a22,x43072,x43073))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,382,486,448,476,390,104,917,294,4288,295,3136,1601,1718,1767,1722,968,1781,2674,3732,712,4232,4214,106,115,3139,2636,3466,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132,209,174,8,10,13,16,22,26,17])).
% 177.76/177.64 cnf(4308,plain,
% 177.76/177.64 (E(f23(a22),f23(a2))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,382,486,448,476,390,104,917,294,4288,295,3136,1601,1718,1767,1722,968,1781,2674,3732,712,4232,4214,106,115,3139,2636,3466,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132,209,174,8,10,13,16,22,26,17,5])).
% 177.76/177.64 cnf(4310,plain,
% 177.76/177.64 (E(f4(a22,x43101),f4(a2,x43101))),
% 177.76/177.64 inference(scs_inference,[],[482,3049,1419,893,1504,594,1438,456,891,382,486,448,476,390,104,917,294,4288,295,3136,1601,1718,1767,1722,968,1781,2674,3732,712,4232,4214,106,115,3139,2636,3466,725,2,160,168,15,119,122,120,126,127,2484,50,71,56,70,3,42,64,52,57,167,27,188,49,133,169,2166,51,32,28,131,132,209,174,8,10,13,16,22,26,17,5,19,11])).
% 177.76/177.64 cnf(4323,plain,
% 177.76/177.64 (P18(f31(f27(a12)),f30(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[4249,2905])).
% 177.76/177.64 cnf(4335,plain,
% 177.76/177.64 (P8(f4(f25(a22),a2),f25(a2),a2)),
% 177.76/177.64 inference(scs_inference,[],[657,1970,4150,390,917,226,1781,1434,2330,941,4229,4301,2519,4283,2,160,71,70,3,55,167,28])).
% 177.76/177.64 cnf(4337,plain,
% 177.76/177.64 (P11(f4(a22,f24(a2,a2)),a2,f24(a2,a22))),
% 177.76/177.64 inference(scs_inference,[],[657,1970,4150,390,917,294,226,1781,1434,3585,2330,941,4229,4301,2519,4283,2,160,71,70,3,55,167,28,32])).
% 177.76/177.64 cnf(4349,plain,
% 177.76/177.64 (P13(f5(a12),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[1438,657,468,490,1970,3081,4277,4150,390,265,917,294,226,3732,968,1781,1434,424,3585,419,2330,941,4229,4301,4243,2519,4283,2,160,71,70,3,55,167,28,32,51,59,48,29,33,34,182])).
% 177.76/177.64 cnf(4357,plain,
% 177.76/177.64 (E(a12,f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[912,2])).
% 177.76/177.64 cnf(4365,plain,
% 177.76/177.64 (P14(a22,f29(f10(x43651)))),
% 177.76/177.64 inference(scs_inference,[],[912,468,917,3136,3057,3139,2,672,827,940,71,3,70])).
% 177.76/177.64 cnf(4369,plain,
% 177.76/177.64 (P14(f23(f5(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,390,917,3136,2061,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167])).
% 177.76/177.64 cnf(4371,plain,
% 177.76/177.64 (P11(f4(x43711,f28(x43712,a2,a2)),x43711,f28(x43712,a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,390,917,3136,287,2061,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34])).
% 177.76/177.64 cnf(4373,plain,
% 177.76/177.64 (E(f28(x43731,a2,x43732),f28(x43731,a22,x43732))),
% 177.76/177.64 inference(rename_variables,[],[287])).
% 177.76/177.64 cnf(4376,plain,
% 177.76/177.64 (E(f28(x43761,a2,x43762),f28(x43761,a22,x43762))),
% 177.76/177.64 inference(rename_variables,[],[287])).
% 177.76/177.64 cnf(4379,plain,
% 177.76/177.64 (P8(f24(f28(x43791,a2,a2),x43792),f28(x43791,a22,a22),x43792)),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,382,390,917,3136,287,4373,4376,2061,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29])).
% 177.76/177.64 cnf(4386,plain,
% 177.76/177.64 (~P16(f7(f17(a16)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,324,382,390,917,3136,287,4373,4376,2061,1434,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128])).
% 177.76/177.64 cnf(4390,plain,
% 177.76/177.64 (P27(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,324,382,390,917,3136,287,4373,4376,2061,968,1434,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735])).
% 177.76/177.64 cnf(4391,plain,
% 177.76/177.64 (P24(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,324,382,390,917,3136,287,4373,4376,2061,968,1434,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735,890])).
% 177.76/177.64 cnf(4392,plain,
% 177.76/177.64 (P28(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,324,382,390,917,3136,287,4373,4376,2061,968,1434,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735,890,1152])).
% 177.76/177.64 cnf(4393,plain,
% 177.76/177.64 (P5(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[912,649,893,468,324,382,390,917,3136,287,4373,4376,2061,968,1434,1247,419,426,417,3057,3884,2893,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735,890,1152,1756])).
% 177.76/177.64 cnf(4398,plain,
% 177.76/177.64 (P6(f27(a12),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[1419,912,649,893,468,324,382,390,917,295,3136,287,4373,4376,2061,968,1434,1247,419,426,702,417,3057,3884,2893,105,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735,890,1152,1756,59,64,63])).
% 177.76/177.64 cnf(4401,plain,
% 177.76/177.64 (P3(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[1419,912,649,893,468,324,382,4249,390,917,295,3136,287,4373,4376,2061,968,1434,1247,419,426,4243,702,417,3057,3884,4253,2893,105,3139,2,672,827,940,71,3,70,42,55,167,34,33,188,29,207,169,128,206,735,890,1152,1756,59,64,63,69,37])).
% 177.76/177.64 cnf(4413,plain,
% 177.76/177.64 (P12(f5(a12),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[474,4150,4357,2,51])).
% 177.76/177.64 cnf(4419,plain,
% 177.76/177.64 (E(f32(x44191,a2),f32(x44191,a22))),
% 177.76/177.64 inference(rename_variables,[],[298])).
% 177.76/177.64 cnf(4424,plain,
% 177.76/177.64 (P1(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[324,474,4150,75,104,299,298,4419,1603,996,4301,4205,4357,3139,609,2,51,70,42,3,56,55,69,27])).
% 177.76/177.64 cnf(4429,plain,
% 177.76/177.64 (P5(f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.64 inference(scs_inference,[],[324,474,4150,575,3047,4251,75,104,299,298,4419,4243,1603,996,4301,4205,4357,115,3139,609,2,51,70,42,3,56,55,69,27,167,39,46])).
% 177.76/177.64 cnf(4439,plain,
% 177.76/177.64 (~P14(f29(f30(a1)),f5(a1))),
% 177.76/177.64 inference(scs_inference,[],[910,324,986,474,4150,575,3047,4251,75,917,104,299,298,4419,591,4243,1603,996,4253,4297,4301,4205,4357,115,3139,609,1624,2,51,70,42,3,56,55,69,27,167,39,46,139,181,160,7,6,25,169])).
% 177.76/177.64 cnf(4451,plain,
% 177.76/177.64 (P3(f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[910,245,324,1480,986,474,472,4150,575,3047,4251,75,917,104,299,298,4419,226,591,4243,1247,1603,996,4253,4297,4301,4205,4357,115,3139,609,1624,2,51,70,42,3,56,55,69,27,167,39,46,139,181,160,7,6,25,169,20,21,12,9,24,14,71,48,36,37])).
% 177.76/177.64 cnf(4454,plain,
% 177.76/177.64 (~P10(a22,x44541)+~E(x44541,a1)),
% 177.76/177.64 inference(scs_inference,[],[910,245,324,243,1480,986,474,472,4150,575,3047,4251,390,75,917,104,299,298,4419,226,591,4243,1247,426,1603,996,4253,4297,4301,4205,4357,115,3139,609,1624,2,51,70,42,3,56,55,69,27,167,39,46,139,181,160,7,6,25,169,20,21,12,9,24,14,71,48,36,37,30,59])).
% 177.76/177.64 cnf(4463,plain,
% 177.76/177.64 (~E(a15,x44631)+P28(x44631)+~P1(a15)),
% 177.76/177.64 inference(scs_inference,[],[1474,38])).
% 177.76/177.64 cnf(4465,plain,
% 177.76/177.64 (E(a15,f28(f30(a15),f33(a15),f31(a15)))),
% 177.76/177.64 inference(scs_inference,[],[468,2])).
% 177.76/177.64 cnf(4475,plain,
% 177.76/177.64 (P7(f23(f24(a22,a2)),f24(a2,a22))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,4150,295,3136,591,287,4357,824,3290,3651,2,1583,71,48,59,70,3,56])).
% 177.76/177.64 cnf(4476,plain,
% 177.76/177.64 (E(f24(x44761,a2),f24(x44761,a22))),
% 177.76/177.64 inference(rename_variables,[],[295])).
% 177.76/177.64 cnf(4478,plain,
% 177.76/177.64 (P7(f32(a22,x44781),f29(f32(a2,x44781)))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,4150,299,295,3136,591,287,4357,824,267,3290,3651,2,1583,71,48,59,70,3,56,55])).
% 177.76/177.64 cnf(4485,plain,
% 177.76/177.64 (P8(f4(x44851,f4(a2,a2)),x44851,f4(a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,877,4150,294,299,295,4476,3136,591,287,4357,2674,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30])).
% 177.76/177.64 cnf(4488,plain,
% 177.76/177.64 (P2(f28(f30(a15),f33(a15),f31(a15)))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,877,4150,79,294,299,295,4476,3136,591,287,4357,2674,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31])).
% 177.76/177.64 cnf(4491,plain,
% 177.76/177.64 (P10(f30(a12),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,986,877,4150,4424,79,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180])).
% 177.76/177.64 cnf(4493,plain,
% 177.76/177.64 (P9(f26(a12),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,986,877,4150,4424,79,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179])).
% 177.76/177.64 cnf(4495,plain,
% 177.76/177.64 (E(f29(f10(x44951)),f29(a22))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,986,877,4150,4424,79,917,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8])).
% 177.76/177.64 cnf(4497,plain,
% 177.76/177.64 (E(f23(f10(x44971)),f23(a22))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,986,877,4150,4424,79,917,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8,17,5])).
% 177.76/177.64 cnf(4498,plain,
% 177.76/177.64 (E(f28(x44981,f10(x44982),x44983),f28(x44981,a22,x44983))),
% 177.76/177.64 inference(scs_inference,[],[468,440,444,986,877,4150,4424,79,917,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8,17,5,18])).
% 177.76/177.64 cnf(4505,plain,
% 177.76/177.64 (P3(f27(a15))),
% 177.76/177.64 inference(scs_inference,[],[1052,468,440,444,986,877,4150,4424,79,917,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8,17,5,18,16,4,13,11,10,19,119])).
% 177.76/177.64 cnf(4515,plain,
% 177.76/177.64 (P5(f27(a15))),
% 177.76/177.64 inference(scs_inference,[],[1052,468,440,444,986,877,486,4150,4424,79,917,294,299,295,4476,3136,591,287,4357,2674,4297,712,824,267,3290,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8,17,5,18,16,4,13,11,10,19,119,26,22,23,15,174,127,122])).
% 177.76/177.64 cnf(4530,plain,
% 177.76/177.64 (~P12(x45301,f28(f30(a1),f31(a1),f33(a1)))+~E(x45301,a9)),
% 177.76/177.64 inference(scs_inference,[],[314,466,1052,1419,468,440,444,1769,986,877,486,4150,4424,2099,79,917,294,299,295,4476,3136,779,591,748,287,4357,2674,4297,1967,712,824,267,2361,3290,83,4439,3651,2,1583,71,48,59,70,3,56,55,63,167,30,31,182,180,179,8,17,5,18,16,4,13,11,10,19,119,26,22,23,15,174,127,122,120,3509,51,39,138,214,168,47,42,50])).
% 177.76/177.64 cnf(4548,plain,
% 177.76/177.64 (~P14(f29(f4(a22,x45481)),f4(a2,x45481))),
% 177.76/177.64 inference(scs_inference,[],[4515,1740,294,3139,2,126,71])).
% 177.76/177.64 cnf(4552,plain,
% 177.76/177.64 (~E(a22,f32(f5(a1),f5(a1)))),
% 177.76/177.64 inference(scs_inference,[],[4515,1740,917,294,280,3136,2607,3139,2,126,71,70,3])).
% 177.76/177.64 cnf(4555,plain,
% 177.76/177.64 (P7(f23(a22),f10(a22))),
% 177.76/177.64 inference(scs_inference,[],[649,4515,1740,917,294,280,3136,662,2607,4497,3599,3139,2,126,71,70,3,42,55])).
% 177.76/177.64 cnf(4557,plain,
% 177.76/177.64 (P14(f23(f17(a16)),f30(a16))),
% 177.76/177.64 inference(scs_inference,[],[649,326,4515,1740,917,294,280,3136,662,2607,4066,4497,3599,3139,2,126,71,70,3,42,55,167])).
% 177.76/177.64 cnf(4559,plain,
% 177.76/177.64 (~P6(f29(a11),f29(f10(x45591)))),
% 177.76/177.64 inference(scs_inference,[],[649,326,4515,1740,917,294,280,3136,662,2607,4066,4495,4497,3599,3139,3470,2,126,71,70,3,42,55,167,64])).
% 177.76/177.64 cnf(4566,plain,
% 177.76/177.64 (E(f27(a15),f28(f30(a15),f31(a15),f33(a15)))),
% 177.76/177.64 inference(scs_inference,[],[1087,2])).
% 177.76/177.64 cnf(4572,plain,
% 177.76/177.64 (E(a9,a2)),
% 177.76/177.64 inference(scs_inference,[],[326,1087,390,104,591,226,1958,4557,2,169,71,42,3])).
% 177.76/177.64 cnf(4573,plain,
% 177.76/177.64 (P14(f25(a1),f29(f30(a1)))),
% 177.76/177.64 inference(scs_inference,[],[326,1087,384,390,104,591,226,1958,4557,115,2,169,71,42,3,167])).
% 177.76/177.64 cnf(4576,plain,
% 177.76/177.64 (~P16(f7(f8(a1)))),
% 177.76/177.64 inference(scs_inference,[],[326,346,1087,384,390,104,591,226,1958,4557,115,2,169,71,42,3,167,128])).
% 177.76/177.64 cnf(4580,plain,
% 177.76/177.64 (P8(f33(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.76/177.64 inference(scs_inference,[],[326,346,1087,384,390,104,591,226,1958,1054,536,4557,115,2,169,71,42,3,167,128,207,206])).
% 177.76/177.64 cnf(4585,plain,
% 177.76/177.64 (P5(f28(f30(a15),f31(a15),f33(a15)))),
% 177.76/177.64 inference(scs_inference,[],[326,346,1087,807,4515,384,390,104,296,591,226,1958,1054,536,4475,4557,115,2,169,71,42,3,167,128,207,206,48,56,46])).
% 177.76/177.64 cnf(4589,plain,
% 177.76/177.64 (P11(f24(f10(a2),a22),f10(a22),a2)),
% 177.76/177.64 inference(scs_inference,[],[326,346,1087,807,4515,384,390,104,295,296,591,293,226,1958,1054,536,2557,2839,4475,4557,115,2,169,71,42,3,167,128,207,206,48,56,46,28,32])).
% 177.76/177.64 cnf(4608,plain,
% 177.76/177.64 (P4(f28(f30(a15),f31(a15),f33(a15)))),
% 177.76/177.64 inference(scs_inference,[],[728,4585,4573,2,169,121])).
% 177.76/177.64 cnf(4613,plain,
% 177.76/177.64 (P10(f25(a12),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.64 inference(scs_inference,[],[550,442,728,295,4357,4585,4573,864,2,169,121,48,71,59])).
% 177.76/177.64 cnf(4624,plain,
% 177.76/177.64 (P2(f28(f30(a15),f31(a15),f33(a15)))),
% 177.76/177.64 inference(scs_inference,[],[1052,550,442,384,728,295,296,292,293,4357,516,419,536,2514,4585,4566,4573,267,864,2,169,121,48,71,59,55,167,32,28,188,31])).
% 177.76/177.64 cnf(4652,plain,
% 177.76/177.64 (~P4(f28(f30(a15),f33(a15),f31(a15)))+P4(a15)),
% 177.76/177.64 inference(scs_inference,[],[1052,1419,912,468,986,1087,4424,550,442,384,728,4491,390,917,295,296,591,292,748,779,293,756,746,4357,4297,1058,1048,516,419,536,2839,2514,4572,4585,4566,4573,4552,106,105,267,2361,3169,864,4580,4365,2,169,121,48,71,59,55,167,32,28,188,31,210,7,25,6,20,9,160,12,24,14,21,42,3,56,34,182,209,51,47,63,69])).
% 177.76/177.64 cnf(4656,plain,
% 177.76/177.64 (E(a13,f28(f30(a13),f33(a13),f31(a13)))),
% 177.76/177.64 inference(scs_inference,[],[332,2])).
% 177.76/177.64 cnf(4663,plain,
% 177.76/177.64 (E(f28(x46631,a2,x46632),f28(x46631,a22,x46632))),
% 177.76/177.64 inference(rename_variables,[],[287])).
% 177.76/177.64 cnf(4675,plain,
% 177.76/177.64 (~P14(a11,f23(f7(a11)))),
% 177.76/177.64 inference(scs_inference,[],[649,332,917,280,287,4663,288,968,464,424,1044,532,4308,4555,2055,3139,114,2,1086,71,42,3,55,69,167,34,29,33,169])).
% 177.76/177.64 cnf(4691,plain,
% 177.76/177.64 (P3(f27(a18))),
% 177.76/177.64 inference(scs_inference,[],[649,762,332,917,280,591,287,4663,288,968,464,424,4572,1044,532,4308,4555,2055,3139,114,2,1086,71,42,3,55,69,167,34,29,33,169,17,16,11,4,15,8,10,5,18,19,26,13,23,22,119])).
% 177.76/177.64 cnf(4693,plain,
% 177.76/177.64 (P5(f27(a18))),
% 177.76/177.64 inference(scs_inference,[],[649,762,332,917,280,591,287,4663,288,968,464,424,4572,1044,532,4308,4555,2055,3139,114,2,1086,71,42,3,55,69,167,34,29,33,169,17,16,11,4,15,8,10,5,18,19,26,13,23,22,119,122])).
% 177.76/177.64 cnf(4714,plain,
% 177.76/177.64 (E(f24(a22,x47141),f24(a2,x47141))),
% 177.76/177.64 inference(rename_variables,[],[724])).
% 177.76/177.64 cnf(4723,plain,
% 177.76/177.64 (P8(f4(f32(a2,a2),x47231),f32(a22,a22),x47231)),
% 177.76/177.64 inference(scs_inference,[],[346,1093,4260,390,104,295,298,226,287,724,1621,2557,534,1140,115,2,71,42,3,167,64,33,29])).
% 177.76/177.64 cnf(4736,plain,
% 177.76/177.64 (~E(f28(f30(a1),f33(a1),f33(a1)),f28(a22,x47361,x47362))),
% 177.76/177.64 inference(scs_inference,[],[340,346,830,4693,1093,4260,390,917,104,295,748,779,298,226,287,724,4714,426,1621,2557,534,4232,1140,4656,4063,2165,115,2361,2,71,42,3,167,64,33,29,188,126,48,63,37,30,214])).
% 177.76/177.64 cnf(4743,plain,
% 177.76/177.64 (E(f27(a18),f28(f30(a18),f31(a18),f33(a18)))),
% 177.76/177.64 inference(scs_inference,[],[758,2])).
% 177.76/177.64 cnf(4754,plain,
% 177.76/177.64 (~P16(f7(f26(a12)))),
% 177.76/177.64 inference(scs_inference,[],[828,719,758,917,298,287,536,1067,4656,2165,4132,2,71,3,30,46,207,128])).
% 177.76/177.64 cnf(4758,plain,
% 177.76/177.64 (~P9(a9,x47581)+~E(x47581,f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[828,719,3186,758,917,298,287,536,2839,1067,4656,2165,4132,2,71,3,30,46,207,128,206,48])).
% 177.76/177.64 cnf(4762,plain,
% 177.76/177.64 (~E(f10(x47621),f5(f27(a12)))),
% 177.76/177.64 inference(scs_inference,[],[3141,2])).
% 177.76/177.64 cnf(4770,plain,
% 177.76/177.64 (P12(f30(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[762,3252,3141,113,80,75,295,287,593,4572,4743,3139,2,15,71,3,31,187])).
% 177.76/177.64 cnf(4777,plain,
% 177.76/177.64 (E(f24(f10(x47771),x47772),f24(a2,x47772))),
% 177.76/177.64 inference(scs_inference,[],[762,3252,3141,113,80,75,295,287,593,4572,4743,4267,3139,2,15,71,3,31,187,20,7,6,25,12,9])).
% 177.76/177.64 cnf(4785,plain,
% 177.76/177.64 (P7(f23(f24(a2,a2)),f24(a22,a22))),
% 177.76/177.64 inference(scs_inference,[],[762,657,1087,3252,3141,113,80,75,104,295,287,593,4572,3443,4743,4267,3139,4053,2,15,71,3,31,187,20,7,6,25,12,9,24,21,14,160,48,42,56])).
% 177.76/177.64 cnf(4795,plain,
% 177.76/177.64 (E(a22,f10(x47951))),
% 177.76/177.64 inference(scs_inference,[],[917,2])).
% 177.76/177.64 cnf(4799,plain,
% 177.76/177.64 (E(f10(x47991),a2)),
% 177.76/177.64 inference(rename_variables,[],[4267])).
% 177.76/177.64 cnf(4800,plain,
% 177.76/177.64 (P14(f24(x48001,a22),f29(f24(x48001,a2)))),
% 177.76/177.64 inference(scs_inference,[],[917,295,3136,226,4267,3057,870,2,71,3,70])).
% 177.76/177.64 cnf(4802,plain,
% 177.76/177.64 (~P7(f29(f30(a1)),f30(a1))),
% 177.76/177.64 inference(scs_inference,[],[893,917,295,3136,226,4267,3057,870,3139,2,71,3,70,167])).
% 177.76/177.64 cnf(4805,plain,
% 177.76/177.64 (P13(f30(f27(a12)),a12)),
% 177.76/177.64 inference(scs_inference,[],[893,4770,113,80,75,917,295,3136,226,4267,3057,870,3139,2,71,3,70,167,181])).
% 177.76/177.64 cnf(4814,plain,
% 177.76/177.64 (E(f29(a9),f29(a2))),
% 177.76/177.64 inference(scs_inference,[],[893,4770,113,80,75,917,295,3136,226,4572,4267,4799,3057,870,3139,2,71,3,70,167,181,169,4,10,18,16,17,8])).
% 177.76/177.64 cnf(4822,plain,
% 177.76/177.64 (P5(f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2787,893,4770,113,80,75,917,295,3136,226,4572,4267,4799,3057,870,3139,2,71,3,70,167,181,169,4,10,18,16,17,8,11,13,5,22,19,26,23,122])).
% 177.76/177.64 cnf(4824,plain,
% 177.76/177.64 (P3(f27(f27(a1)))),
% 177.76/177.64 inference(scs_inference,[],[2787,893,4770,113,80,75,917,295,3136,226,4572,4267,4799,3057,870,3139,2,71,3,70,167,181,169,4,10,18,16,17,8,11,13,5,22,19,26,23,122,119])).
% 177.76/177.64 cnf(4847,plain,
% 177.76/177.64 (P7(f32(a22,a22),f29(f32(a2,a2)))),
% 177.76/177.64 inference(scs_inference,[],[2110,917,298,287,4478,4762,2847,2,71,3,55])).
% 177.76/177.64 cnf(4852,plain,
% 177.76/177.64 (P11(f24(a22,f10(a2)),a2,f10(a22))),
% 177.76/177.64 inference(scs_inference,[],[468,2110,917,296,298,287,2837,4478,4762,105,2847,2,71,3,55,63,32])).
% 177.76/177.64 cnf(4875,plain,
% 177.76/177.64 (E(a22,a9)),
% 177.76/177.64 inference(scs_inference,[],[591,2])).
% 177.76/177.64 cnf(4878,plain,
% 177.76/177.64 (E(f10(x48781),f10(x48782))),
% 177.76/177.64 inference(scs_inference,[],[917,591,296,4795,3139,2,71,3])).
% 177.76/177.64 cnf(4879,plain,
% 177.76/177.64 (P14(f5(a12),f29(f30(a12)))),
% 177.76/177.64 inference(scs_inference,[],[783,917,591,296,4795,115,3139,2,71,3,167])).
% 177.76/177.64 cnf(4882,plain,
% 177.76/177.65 (P11(f4(a22,f24(a22,a2)),a2,f24(a2,a22))),
% 177.76/177.65 inference(scs_inference,[],[783,917,591,295,296,4795,1065,115,3139,2,71,3,167,34])).
% 177.76/177.65 cnf(4895,plain,
% 177.76/177.65 (~P14(f29(f30(a12)),f5(a12))),
% 177.76/177.65 inference(scs_inference,[],[4691,783,917,591,295,294,296,78,417,1067,4795,4743,4656,1446,1065,115,3139,2,71,3,167,34,32,37,28,31,188,169])).
% 177.76/177.65 cnf(4904,plain,
% 177.76/177.65 (~P6(f25(a12),a22)),
% 177.76/177.65 inference(scs_inference,[],[332,914,4691,783,917,591,295,294,296,78,417,1067,2837,4795,4743,4656,1446,1428,1065,115,3139,1892,2,71,3,167,34,32,37,28,31,188,169,207,206,128,48,64])).
% 177.76/177.65 cnf(4905,plain,
% 177.76/177.65 (~P7(f25(a12),f29(a22))),
% 177.76/177.65 inference(scs_inference,[],[332,914,4691,783,917,591,295,294,296,78,417,1067,2837,4795,4743,4656,1446,1428,1065,115,3139,1892,2,71,3,167,34,32,37,28,31,188,169,207,206,128,48,64,174])).
% 177.76/177.65 cnf(4911,plain,
% 177.76/177.65 (~P14(f25(a12),f29(a22))),
% 177.76/177.65 inference(scs_inference,[],[886,4905,2,160])).
% 177.76/177.65 cnf(4922,plain,
% 177.76/177.65 (P6(f23(f29(x49221)),x49221)),
% 177.76/177.65 inference(rename_variables,[],[220])).
% 177.76/177.65 cnf(4923,plain,
% 177.76/177.65 (~P7(f29(f25(a12)),f25(a12))),
% 177.76/177.65 inference(scs_inference,[],[657,3073,3173,783,886,226,220,724,4497,4308,3957,4785,4905,4904,3139,2,160,174,3,71,47,56,63,167])).
% 177.76/177.65 cnf(4926,plain,
% 177.76/177.65 (P6(f23(f29(a22)),f10(x49261))),
% 177.76/177.65 inference(scs_inference,[],[657,3073,3173,783,886,226,220,4922,724,4795,4497,4308,3957,4785,4905,4904,3139,2,160,174,3,71,47,56,63,167,64])).
% 177.76/177.65 cnf(4935,plain,
% 177.76/177.65 (E(f6(a22),f6(f10(x49351)))),
% 177.76/177.65 inference(scs_inference,[],[986,657,3073,4424,3173,783,886,591,226,220,4922,724,968,4297,424,4267,4795,4497,4308,3957,4785,4905,4904,4613,3139,2,160,174,3,71,47,56,63,167,64,33,29,182,20,25])).
% 177.76/177.65 cnf(4937,plain,
% 177.76/177.65 (E(f25(a22),f25(f10(x49371)))),
% 177.76/177.65 inference(scs_inference,[],[986,657,3073,4424,3173,783,886,591,226,220,4922,724,968,4297,424,4267,4795,4497,4308,3957,4785,4905,4904,4613,3139,2,160,174,3,71,47,56,63,167,64,33,29,182,20,25,7,24])).
% 177.76/177.65 cnf(4944,plain,
% 177.76/177.65 (P14(a2,f29(a9))),
% 177.76/177.65 inference(scs_inference,[],[986,657,3073,1241,4424,3173,783,886,591,4572,3136,226,220,4922,724,968,4297,424,4267,4795,4497,4308,3957,4785,4905,4904,4613,3139,2,160,174,3,71,47,56,63,167,64,33,29,182,20,25,7,24,12,21,6,14,9,51,70])).
% 177.76/177.65 cnf(4946,plain,
% 177.76/177.65 (~P12(a22,f27(f27(a12)))),
% 177.76/177.65 inference(scs_inference,[],[986,657,3073,1241,4424,3173,783,3394,886,591,4572,3136,226,220,4922,724,968,4297,424,4267,4795,4497,4308,3957,4785,4905,4904,4613,3139,2,160,174,3,71,47,56,63,167,64,33,29,182,20,25,7,24,12,21,6,14,9,51,70,50])).
% 177.76/177.65 cnf(4955,plain,
% 177.76/177.65 (E(a2,a9)),
% 177.76/177.65 inference(scs_inference,[],[4572,2])).
% 177.76/177.65 cnf(4968,plain,
% 177.76/177.65 (P6(f10(f32(a22,a22)),f32(a22,a2))),
% 177.76/177.65 inference(scs_inference,[],[3141,4572,299,293,1289,4795,602,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64])).
% 177.76/177.65 cnf(4969,plain,
% 177.76/177.65 (E(f32(a2,x49691),f32(a22,x49691))),
% 177.76/177.65 inference(rename_variables,[],[299])).
% 177.76/177.65 cnf(4973,plain,
% 177.76/177.65 (P8(f24(x49731,f32(a2,a22)),x49731,f32(a22,a2))),
% 177.76/177.65 inference(scs_inference,[],[3141,4572,299,4969,287,293,1289,4795,1067,602,553,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64,29,30])).
% 177.76/177.65 cnf(4977,plain,
% 177.76/177.65 (E(f28(x49771,f10(x49772),x49773),f28(x49771,a2,x49773))),
% 177.76/177.65 inference(scs_inference,[],[3141,390,4572,299,4969,287,293,4267,1289,4795,1067,602,553,2887,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64,29,30,33,18])).
% 177.76/177.65 cnf(4984,plain,
% 177.76/177.65 (E(f29(f10(x49841)),f29(a2))),
% 177.76/177.65 inference(scs_inference,[],[3141,390,4572,299,4969,287,293,4267,1289,4795,1067,602,553,2887,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64,29,30,33,18,10,16,13,17,5,26,8])).
% 177.76/177.65 cnf(4989,plain,
% 177.76/177.65 (P3(f27(f27(a18)))),
% 177.76/177.65 inference(scs_inference,[],[1673,3141,390,4572,299,4969,287,293,4267,1289,4795,1067,602,553,2887,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64,29,30,33,18,10,16,13,17,5,26,8,11,22,19,23,119])).
% 177.76/177.65 cnf(4993,plain,
% 177.76/177.65 (P4(f27(f27(a18)))),
% 177.76/177.65 inference(scs_inference,[],[1673,3141,390,4572,299,4969,287,293,4267,1289,4795,1067,602,553,2887,4926,3688,106,4895,4548,4944,2,160,3,71,56,63,167,64,29,30,33,18,10,16,13,17,5,26,8,11,22,19,23,119,122,120])).
% 177.76/177.65 cnf(4996,plain,
% 177.76/177.65 (~E(x49961,f29(f29(x49961)))),
% 177.76/177.65 inference(scs_inference,[],[2889,1673,3141,390,4572,3136,299,4969,287,293,4267,1289,4795,1067,602,553,2887,4926,3688,106,3139,4895,4548,4944,2,160,3,71,56,63,167,64,29,30,33,18,10,16,13,17,5,26,8,11,22,19,23,119,122,120,59,70])).
% 177.76/177.65 cnf(5011,plain,
% 177.76/177.65 (P14(a22,f29(x50111))),
% 177.76/177.65 inference(scs_inference,[],[486,1793,917,294,298,577,4905,4229,3139,2,3,71,56,70])).
% 177.76/177.65 cnf(5015,plain,
% 177.76/177.65 (P14(f32(a22,x50151),f29(f32(a2,x50151)))),
% 177.76/177.65 inference(scs_inference,[],[1087,486,1793,917,294,298,577,4478,4905,4229,105,115,3139,2,3,71,56,70,63,167])).
% 177.76/177.65 cnf(5019,plain,
% 177.76/177.65 (E(f27(a22),f27(f10(x50191)))),
% 177.76/177.65 inference(scs_inference,[],[1087,486,1793,917,294,298,4795,577,4478,4904,4905,4229,105,115,3139,2,3,71,56,70,63,167,64,15])).
% 177.76/177.65 cnf(5024,plain,
% 177.76/177.65 (~P7(f25(a12),f29(f10(x50241)))),
% 177.76/177.65 inference(scs_inference,[],[1087,486,1793,917,294,298,4795,577,4478,4904,4905,4229,105,115,3139,4800,2,3,71,56,70,63,167,64,15,169,160,174])).
% 177.76/177.65 cnf(5027,plain,
% 177.76/177.65 (P7(f4(a22,a22),f29(f4(a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[1769,1087,486,1793,917,294,298,293,4795,577,4478,4904,4905,4229,3398,105,115,3139,4800,2,3,71,56,70,63,167,64,15,169,160,174,59,55])).
% 177.76/177.65 cnf(5030,plain,
% 177.76/177.65 (~E(f28(f30(a12),f31(a12),f31(a12)),f28(a9,x50301,x50302))),
% 177.76/177.65 inference(scs_inference,[],[1769,1087,486,1793,917,294,298,293,4795,1601,577,1718,4478,4904,1889,4905,4229,3398,105,115,3139,3466,4800,2,3,71,56,70,63,167,64,15,169,160,174,59,55,214])).
% 177.76/177.65 cnf(5033,plain,
% 177.76/177.65 (~P10(a22,f28(f30(a13),f31(a13),f33(a13)))+~E(f27(f27(a18)),x50331)+P15(x50331)),
% 177.76/177.65 inference(scs_inference,[],[74,116,468,1769,1087,486,1671,1793,917,294,298,293,4795,1601,577,1718,4478,4904,1889,4905,4229,3398,105,115,3139,3466,4800,2,3,71,56,70,63,167,64,15,169,160,174,59,55,214,4454,39])).
% 177.76/177.65 cnf(5037,plain,
% 177.76/177.65 (E(a2,f10(x50371))),
% 177.76/177.65 inference(scs_inference,[],[4267,2])).
% 177.76/177.65 cnf(5048,plain,
% 177.76/177.65 (P7(f28(x50481,a22,a22),f29(f28(x50481,a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[1775,4267,293,287,226,4552,3779,4263,3653,5024,4875,2,160,174,3,71,56,55])).
% 177.76/177.65 cnf(5051,plain,
% 177.76/177.65 (~P7(f29(f26(a12)),f26(a12))),
% 177.76/177.65 inference(scs_inference,[],[719,1775,4267,293,287,226,4552,3779,4263,3653,5024,4875,3139,2,160,174,3,71,56,55,167])).
% 177.76/177.65 cnf(5064,plain,
% 177.76/177.65 (~P10(a9,x50641)+~E(x50641,f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[719,1675,3150,1775,3060,4267,293,287,226,4795,220,1065,1838,4552,3779,4263,3653,5024,4955,4875,3139,2,160,174,3,71,56,55,167,64,58,206,207,128,59])).
% 177.76/177.65 cnf(5065,plain,
% 177.76/177.65 (P6(a22,f32(a2,a2))),
% 177.76/177.65 inference(scs_inference,[],[719,1675,3150,1775,3060,917,4267,293,287,226,4795,220,1065,1838,3688,4552,3779,4263,3653,5024,4955,4875,3139,2,160,174,3,71,56,55,167,64,58,206,207,128,59,63])).
% 177.76/177.65 cnf(5071,plain,
% 177.76/177.65 (~P12(a22,f27(a12))),
% 177.76/177.65 inference(scs_inference,[],[3079,3386,3077,719,1675,3150,1775,3060,917,4267,293,287,226,4795,220,1065,1838,3688,4552,3779,4263,3653,5024,4955,4875,3139,2,160,174,3,71,56,55,167,64,58,206,207,128,59,63,180,168,3111])).
% 177.76/177.65 cnf(5086,plain,
% 177.76/177.65 (P7(f23(a22),a2)),
% 177.76/177.65 inference(scs_inference,[],[1007,4267,3136,1967,4555,4955,4675,5011,2,160,3,71,56])).
% 177.76/177.65 cnf(5090,plain,
% 177.76/177.65 (P11(f24(x50901,f32(a2,a2)),x50901,f32(a22,a22))),
% 177.76/177.65 inference(scs_inference,[],[1007,4267,3136,299,298,1967,4555,4955,2553,5065,4675,5011,2,160,3,71,56,64,34])).
% 177.76/177.65 cnf(5100,plain,
% 177.76/177.65 (E(f25(a2),f25(a9))),
% 177.76/177.65 inference(scs_inference,[],[1007,4267,3136,299,298,4795,724,1967,2837,4555,4955,2553,5065,4675,5011,2,160,3,71,56,64,34,32,20,12,21,7,24])).
% 177.76/177.65 cnf(5120,plain,
% 177.76/177.65 (E(f24(x51201,a2),f24(x51201,a22))),
% 177.76/177.65 inference(rename_variables,[],[295])).
% 177.76/177.65 cnf(5128,plain,
% 177.76/177.65 (P14(f28(x51281,x51282,a22),f29(f28(x51281,x51282,a2)))),
% 177.76/177.65 inference(scs_inference,[],[1419,719,5071,104,295,298,293,555,4955,4777,3653,5015,115,3139,2,15,3,71,51,42,70,167])).
% 177.76/177.65 cnf(5131,plain,
% 177.76/177.65 (~P6(f25(a12),a2)),
% 177.76/177.65 inference(scs_inference,[],[1419,719,5071,104,295,298,293,555,4955,4777,3653,5015,115,3139,1892,2,15,3,71,51,42,70,167,64])).
% 177.76/177.65 cnf(5139,plain,
% 177.76/177.65 (E(f28(a2,x51391,x51392),f28(a9,x51391,x51392))),
% 177.76/177.65 inference(scs_inference,[],[1419,719,5071,104,295,5120,4795,298,293,555,4955,1065,553,4777,3653,5015,4310,115,3139,1892,2,15,3,71,51,42,70,167,64,28,32,18,10,17])).
% 177.76/177.65 cnf(5141,plain,
% 177.76/177.65 (E(f30(a22),f30(f10(x51411)))),
% 177.76/177.65 inference(scs_inference,[],[1419,719,5071,104,295,5120,4795,298,293,555,4955,1065,553,4777,3653,5015,4310,115,3139,1892,2,15,3,71,51,42,70,167,64,28,32,18,10,17,16,13])).
% 177.76/177.65 cnf(5145,plain,
% 177.76/177.65 (~P7(f25(a12),f29(a2))),
% 177.76/177.65 inference(scs_inference,[],[1419,719,5071,104,295,5120,4795,298,293,555,4955,1065,553,4777,3653,5015,4310,115,3139,1892,2,15,3,71,51,42,70,167,64,28,32,18,10,17,16,13,5,169,174])).
% 177.76/177.65 cnf(5157,plain,
% 177.76/177.65 (P4(f27(f27(a13)))),
% 177.76/177.65 inference(scs_inference,[],[1419,719,2551,5071,104,295,5120,4795,298,293,555,4955,1065,553,4777,3653,5015,4310,115,3139,1892,2,15,3,71,51,42,70,167,64,28,32,18,10,17,16,13,5,169,174,8,26,22,11,23,19,119,122,120])).
% 177.76/177.65 cnf(5177,plain,
% 177.76/177.65 (~P14(f29(f28(x51771,x51772,a2)),f28(x51771,x51772,a22))),
% 177.76/177.65 inference(scs_inference,[],[653,1452,5128,2,174,169])).
% 177.76/177.65 cnf(5190,plain,
% 177.76/177.65 (~P7(f29(f17(a16)),f17(a16))),
% 177.76/177.65 inference(scs_inference,[],[324,332,653,1452,4795,226,220,288,4875,3311,5128,3484,105,267,3139,2,174,169,71,56,55,63,64,167])).
% 177.76/177.65 cnf(5193,plain,
% 177.76/177.65 (P8(f24(f4(a2,a2),x51931),f4(a22,a22),x51931)),
% 177.76/177.65 inference(scs_inference,[],[324,332,653,1452,4795,294,226,220,288,4875,2804,3311,5128,3484,105,267,3139,2,174,169,71,56,55,63,64,167,29])).
% 177.76/177.65 cnf(5203,plain,
% 177.76/177.65 (E(a22,f23(f29(a2)))),
% 177.76/177.65 inference(scs_inference,[],[2095,2])).
% 177.76/177.65 cnf(5204,plain,
% 177.76/177.65 (E(f25(a22),f25(a9))),
% 177.76/177.65 inference(scs_inference,[],[2095,4875,2,24])).
% 177.76/177.65 cnf(5205,plain,
% 177.76/177.65 (~P14(f25(a12),f29(a2))),
% 177.76/177.65 inference(scs_inference,[],[2095,4875,5145,2,24,160])).
% 177.76/177.65 cnf(5211,plain,
% 177.76/177.65 (P7(f23(f10(x52111)),f10(x52112))),
% 177.76/177.65 inference(scs_inference,[],[4795,280,287,2095,4875,1008,5145,4935,5177,2,24,160,3,71,56])).
% 177.76/177.65 cnf(5212,plain,
% 177.76/177.65 (P7(f28(a22,a22,a22),f29(f28(a2,a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[4795,280,287,2095,288,4875,1008,5145,5048,4935,5177,2,24,160,3,71,56,55])).
% 177.76/177.65 cnf(5215,plain,
% 177.76/177.65 (P6(f10(f32(a22,a22)),f32(a2,a22))),
% 177.76/177.65 inference(scs_inference,[],[4795,280,298,287,2095,288,3688,4875,1008,5145,5048,4935,5177,2,24,160,3,71,56,55,64])).
% 177.76/177.65 cnf(5239,plain,
% 177.76/177.65 (~E(f23(f29(a22)),f5(a12))),
% 177.76/177.65 inference(scs_inference,[],[1385,2])).
% 177.76/177.65 cnf(5244,plain,
% 177.76/177.65 (~P6(f30(a16),a2)),
% 177.76/177.65 inference(scs_inference,[],[1385,287,555,4955,4736,3139,1245,2,3,71,64])).
% 177.76/177.65 cnf(5247,plain,
% 177.76/177.65 (P14(f28(x52471,a22,a22),f29(f28(x52471,a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[1385,287,555,220,4955,5048,4736,115,3139,1245,2,3,71,64,63,167])).
% 177.76/177.65 cnf(5250,plain,
% 177.76/177.65 (E(f7(a2),f7(a9))),
% 177.76/177.65 inference(scs_inference,[],[1385,287,555,220,4955,5048,4736,115,3139,1245,2,3,71,64,63,167,20])).
% 177.76/177.65 cnf(5252,plain,
% 177.76/177.65 (E(f6(a22),f6(a9))),
% 177.76/177.65 inference(scs_inference,[],[1385,287,555,220,4955,4875,5048,4736,115,3139,1245,2,3,71,64,63,167,20,12,25])).
% 177.76/177.65 cnf(5254,plain,
% 177.76/177.65 (~P7(f30(a16),f29(a2))),
% 177.76/177.65 inference(scs_inference,[],[1385,287,555,220,4955,4875,5048,4736,115,3139,1245,2,3,71,64,63,167,20,12,25,7,174])).
% 177.76/177.65 cnf(5272,plain,
% 177.76/177.65 (E(a22,f23(f29(a9)))),
% 177.76/177.65 inference(scs_inference,[],[1681,2])).
% 177.76/177.65 cnf(5279,plain,
% 177.76/177.65 (E(f28(a2,x52791,x52792),f28(a22,x52791,x52792))),
% 177.76/177.65 inference(rename_variables,[],[288])).
% 177.76/177.65 cnf(5283,plain,
% 177.76/177.65 (P6(f23(f29(a2)),f10(x52831))),
% 177.76/177.65 inference(scs_inference,[],[4955,220,288,5279,1681,1289,4478,2434,5239,5247,5037,2,8,174,3,56,70,64])).
% 177.76/177.65 cnf(5287,plain,
% 177.76/177.65 (~P12(a22,f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[758,2793,4795,4955,220,288,5279,1681,1289,4478,2434,5239,5247,5037,105,2,8,174,3,56,70,64,63,50])).
% 177.76/177.65 cnf(5301,plain,
% 177.76/177.65 (E(f26(a22),f26(a9))),
% 177.76/177.65 inference(scs_inference,[],[326,758,2793,4795,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26])).
% 177.76/177.65 cnf(5305,plain,
% 177.76/177.65 (P3(f28(f30(a15),f33(a15),f31(a15)))),
% 177.76/177.65 inference(scs_inference,[],[326,758,4488,2793,4795,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119])).
% 177.76/177.65 cnf(5309,plain,
% 177.76/177.65 (P4(f28(f30(a15),f33(a15),f31(a15)))),
% 177.76/177.65 inference(scs_inference,[],[326,758,4488,2793,4795,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120])).
% 177.76/177.65 cnf(5311,plain,
% 177.76/177.65 (P4(a15)),
% 177.76/177.65 inference(scs_inference,[],[326,758,4488,2793,4795,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652])).
% 177.76/177.65 cnf(5312,plain,
% 177.76/177.65 (~P9(a2,x53121)+~E(x53121,f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[326,758,4488,2793,2934,4795,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652,48])).
% 177.76/177.65 cnf(5315,plain,
% 177.76/177.65 (~P9(a22,x53151)+~E(x53151,f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[326,758,4488,2793,2934,390,4795,3136,4955,220,288,5279,1681,1289,4875,4478,2434,5239,5247,5037,105,3139,5205,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652,48,71,47])).
% 177.76/177.65 cnf(5318,plain,
% 177.76/177.65 (~E(x53181,f27(f27(a1)))+P5(a15)),
% 177.76/177.65 inference(scs_inference,[],[468,326,758,4488,2793,2934,390,591,4795,3136,4955,220,288,5279,1681,1289,419,4875,4478,2434,5239,5247,5037,105,3139,5205,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652,48,71,47,34,46])).
% 177.76/177.65 cnf(5319,plain,
% 177.76/177.65 (~E(x53191,f27(f27(a1)))+~P16(f17(a15))),
% 177.76/177.65 inference(scs_inference,[],[468,326,758,4488,2793,2934,390,112,591,4795,3136,4955,220,288,5279,1681,1289,419,4875,4478,2434,5239,5247,5037,105,3139,5205,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652,48,71,47,34,46,139])).
% 177.76/177.65 cnf(5323,plain,
% 177.76/177.65 (~E(x53231,f27(f27(a1)))+~P16(f30(a15))),
% 177.76/177.65 inference(scs_inference,[],[468,326,758,4488,2793,2934,390,112,591,4795,3136,4955,220,288,5279,1681,1289,419,4875,4478,2434,5239,5247,5037,105,3139,5205,2,8,174,3,56,70,64,63,50,167,18,10,17,13,5,16,169,22,26,11,23,19,119,122,120,4652,48,71,47,34,46,139,183,138])).
% 177.76/177.65 cnf(5334,plain,
% 177.76/177.65 (P5(a15)),
% 177.76/177.65 inference(equality_inference,[],[5318])).
% 177.76/177.65 cnf(5335,plain,
% 177.76/177.65 (~P16(f17(a15))),
% 177.76/177.65 inference(equality_inference,[],[5319])).
% 177.76/177.65 cnf(5337,plain,
% 177.76/177.65 (~P16(f30(a15))),
% 177.76/177.65 inference(equality_inference,[],[5323])).
% 177.76/177.65 cnf(5344,plain,
% 177.76/177.65 (P7(f17(a15),f29(f30(a15)))),
% 177.76/177.65 inference(scs_inference,[],[5311,2529])).
% 177.76/177.65 cnf(5370,plain,
% 177.76/177.65 (~E(f10(x53701),f17(a1))),
% 177.76/177.65 inference(scs_inference,[],[468,914,659,5335,5337,5305,1082,917,104,298,290,283,297,721,4497,5065,1312,5334,5211,5244,4852,5019,106,2,128,194,196,3,71,56,55,64,63,34,37,183,51,42])).
% 177.76/177.65 cnf(5390,plain,
% 177.76/177.65 (E(a22,f23(f29(a22)))),
% 177.76/177.65 inference(scs_inference,[],[1289,2])).
% 177.76/177.65 cnf(5395,plain,
% 177.76/177.65 (~P6(f30(a16),a22)),
% 177.76/177.65 inference(scs_inference,[],[390,290,288,1289,5244,4736,3139,2,3,71,64])).
% 177.76/177.65 cnf(5396,plain,
% 177.76/177.65 (P14(f17(a15),f29(f30(a15)))),
% 177.76/177.65 inference(scs_inference,[],[5344,390,290,288,1289,5244,4736,115,3139,2,3,71,64,167])).
% 177.76/177.65 cnf(5409,plain,
% 177.76/177.65 (E(f27(a22),f27(a9))),
% 177.76/177.65 inference(scs_inference,[],[5344,390,591,4795,294,296,290,288,1289,4875,424,426,532,1428,5244,4736,115,3139,2,3,71,64,167,28,29,32,30,15])).
% 177.76/177.65 cnf(5412,plain,
% 177.76/177.65 (~P14(f29(f30(a15)),f17(a15))),
% 177.76/177.65 inference(scs_inference,[],[5344,390,591,4795,294,296,290,288,1289,4875,424,426,532,1428,5244,4736,5254,115,3139,2,3,71,64,167,28,29,32,30,15,160,169])).
% 177.76/177.65 cnf(5414,plain,
% 177.76/177.65 (~P7(f30(a16),f29(a22))),
% 177.76/177.65 inference(scs_inference,[],[5344,390,591,4795,294,296,290,288,1289,4875,424,426,532,1428,5244,4736,5254,115,3139,2,3,71,64,167,28,29,32,30,15,160,169,174])).
% 177.76/177.65 cnf(5432,plain,
% 177.76/177.65 (~E(a9,f30(a1))),
% 177.76/177.65 inference(scs_inference,[],[1967,2])).
% 177.76/177.65 cnf(5443,plain,
% 177.76/177.65 (~P7(f29(f17(a1)),f17(a1))),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,3136,288,1967,2461,5370,105,3139,4911,2,174,3,71,56,63,167])).
% 177.76/177.65 cnf(5447,plain,
% 177.76/177.65 (P8(f24(f4(a2,a2),x54471),f4(a22,a2),x54471)),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,265,3136,288,1967,4229,2461,5193,4335,5370,105,3139,4911,2,174,3,71,56,63,167,30,29])).
% 177.76/177.65 cnf(5449,plain,
% 177.76/177.65 (E(f4(x54491,a22),f4(x54491,a9))),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,265,3136,288,4875,1967,4229,2461,5193,4335,5370,105,3139,4911,2,174,3,71,56,63,167,30,29,12])).
% 177.76/177.65 cnf(5452,plain,
% 177.76/177.65 (E(f32(x54521,a22),f32(x54521,a9))),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,265,3136,288,4875,1967,4229,2461,5193,4335,5370,105,3139,4911,2,174,3,71,56,63,167,30,29,12,20,14,7])).
% 177.76/177.65 cnf(5453,plain,
% 177.76/177.65 (E(f17(a22),f17(a9))),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,265,3136,288,4875,1967,4229,2461,5193,4335,5370,105,3139,4911,2,174,3,71,56,63,167,30,29,12,20,14,7,21])).
% 177.76/177.65 cnf(5455,plain,
% 177.76/177.65 (E(f24(a2,x54551),f24(f10(x54552),x54551))),
% 177.76/177.65 inference(scs_inference,[],[914,5344,917,591,265,3136,288,4875,1967,5037,4229,2461,5193,4335,5370,105,3139,4911,2,174,3,71,56,63,167,30,29,12,20,14,7,21,6,9])).
% 177.76/177.65 cnf(5474,plain,
% 177.76/177.65 (P6(f28(x54741,x54742,a22),f28(x54741,x54742,a2))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,4795,4875,292,968,716,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174])).
% 177.76/177.65 cnf(5476,plain,
% 177.76/177.65 (E(f8(a22),f8(a9))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,4795,4875,292,968,716,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174,22])).
% 177.76/177.65 cnf(5486,plain,
% 177.76/177.65 (P3(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,4795,4875,292,968,716,3232,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174,22,16,160,11,23,169,26,19,119])).
% 177.76/177.65 cnf(5488,plain,
% 177.76/177.65 (P4(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,4795,4875,292,968,716,3232,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174,22,16,160,11,23,169,26,19,119,120])).
% 177.76/177.65 cnf(5490,plain,
% 177.76/177.65 (P5(f28(f30(a1),f31(a1),f31(a1)))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,4795,4875,292,968,716,3232,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174,22,16,160,11,23,169,26,19,119,120,122])).
% 177.76/177.65 cnf(5492,plain,
% 177.76/177.65 (~P9(f10(x54921),x54922)+~E(x54922,f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[3073,5335,2789,4795,4875,292,968,716,3232,5037,3653,1008,4301,3505,5204,5141,2006,3966,5412,2,3,71,56,70,47,167,33,18,17,13,5,10,174,22,16,160,11,23,169,26,19,119,120,122,48])).
% 177.76/177.65 cnf(5499,plain,
% 177.76/177.65 (E(a2,f10(x54991))),
% 177.76/177.65 inference(rename_variables,[],[5037])).
% 177.76/177.65 cnf(5502,plain,
% 177.76/177.65 (~P6(f30(a16),f10(x55021))),
% 177.76/177.65 inference(scs_inference,[],[3141,4267,292,5037,5244,4552,5414,3139,2,160,3,71,64])).
% 177.76/177.65 cnf(5503,plain,
% 177.76/177.65 (P6(f28(x55031,a22,a22),f28(x55031,a2,a2))),
% 177.76/177.65 inference(scs_inference,[],[3141,4267,287,292,5037,5244,4552,5474,5414,3139,2,160,3,71,64,63])).
% 177.76/177.65 cnf(5506,plain,
% 177.76/177.65 (P14(f7(a11),f29(a11))),
% 177.76/177.65 inference(scs_inference,[],[3141,4267,287,292,5037,5244,4552,304,5474,5414,115,3139,2,160,3,71,64,63,167])).
% 177.76/177.65 cnf(5511,plain,
% 177.76/177.65 (~P7(f30(a16),f29(f10(x55111)))),
% 177.76/177.65 inference(scs_inference,[],[3141,265,4267,287,292,5037,5499,5244,4552,304,4882,5474,5414,115,3139,2,160,3,71,64,63,167,33,8,174])).
% 177.76/177.65 cnf(5513,plain,
% 177.76/177.65 (~P14(f29(a11),f7(a11))),
% 177.76/177.65 inference(scs_inference,[],[3141,265,4267,287,292,5037,5499,5244,4552,304,4882,5474,5414,115,3139,2,160,3,71,64,63,167,33,8,174,169])).
% 177.76/177.65 cnf(5529,plain,
% 177.76/177.65 (E(f28(x55291,a22,a22),f28(x55291,a2,a2))),
% 177.76/177.65 inference(scs_inference,[],[431,2])).
% 177.76/177.65 cnf(5534,plain,
% 177.76/177.65 (P14(x55341,f29(x55341))),
% 177.76/177.65 inference(rename_variables,[],[3136])).
% 177.76/177.65 cnf(5540,plain,
% 177.76/177.65 (~P7(f29(f8(a1)),f8(a1))),
% 177.76/177.65 inference(scs_inference,[],[346,1675,591,104,3136,431,304,5502,4847,5432,5452,105,3139,5513,2,174,3,71,42,55,64,167])).
% 177.76/177.65 cnf(5551,plain,
% 177.76/177.65 (P14(a9,f29(a2))),
% 177.76/177.65 inference(scs_inference,[],[346,1675,591,104,4955,3136,5534,296,431,304,5193,4852,4882,5502,5086,4847,5432,5452,105,3139,5513,2,174,3,71,42,55,64,167,34,206,207,51,56,70])).
% 177.76/177.65 cnf(5562,plain,
% 177.76/177.65 (E(f23(f29(a2)),a2)),
% 177.76/177.65 inference(scs_inference,[],[390,2095,4736,5511,2,160,3])).
% 177.76/177.65 cnf(5563,plain,
% 177.76/177.65 (P14(a9,f29(a22))),
% 177.76/177.65 inference(scs_inference,[],[390,2095,297,4736,5511,5551,2,160,3,71])).
% 177.76/177.65 cnf(5569,plain,
% 177.76/177.65 (P6(f10(x55691),f32(a2,a2))),
% 177.76/177.65 inference(scs_inference,[],[390,4795,287,2095,297,5065,4736,5474,5511,5506,3139,5551,2,160,3,71,70,64,63])).
% 177.76/177.65 cnf(5578,plain,
% 177.76/177.65 (E(f7(a2),f7(f10(x55781)))),
% 177.76/177.65 inference(scs_inference,[],[390,4795,287,2095,269,297,716,5037,2674,5065,4736,5474,4310,3175,5511,5506,3139,5513,5551,2,160,3,71,70,64,63,167,28,32,12,20])).
% 177.76/177.65 cnf(5580,plain,
% 177.76/177.65 (E(f32(x55801,a2),f32(x55801,f10(x55802)))),
% 177.76/177.65 inference(scs_inference,[],[390,4795,287,2095,269,297,716,5037,2674,5065,4736,5474,4310,3175,5511,5506,3139,5513,5551,2,160,3,71,70,64,63,167,28,32,12,20,14,7])).
% 177.76/177.65 cnf(5588,plain,
% 177.76/177.65 (E(f28(x55881,a2,x55882),f28(x55881,f10(x55883),x55882))),
% 177.76/177.65 inference(scs_inference,[],[4977,2])).
% 177.76/177.65 cnf(5596,plain,
% 177.76/177.65 (~P6(f30(a16),f23(f29(a2)))),
% 177.76/177.65 inference(scs_inference,[],[546,285,5244,4977,5562,5139,5030,3139,5551,2,160,3,71,47,64])).
% 177.76/177.65 cnf(5597,plain,
% 177.76/177.65 (P6(f28(a22,a22,a22),f28(a2,a2,a2))),
% 177.76/177.65 inference(scs_inference,[],[546,285,288,5244,4977,5503,5562,5139,5030,3139,5551,2,160,3,71,47,64,63])).
% 177.76/177.65 cnf(5609,plain,
% 177.76/177.65 (~P10(f23(f29(a2)),f27(a12))),
% 177.76/177.65 inference(scs_inference,[],[893,546,1173,295,285,288,5244,1428,5193,4589,2248,4777,4278,4977,5503,5562,5139,5453,5476,5030,3139,5551,2,160,3,71,47,64,63,167,30,28,29,32,58])).
% 177.76/177.65 cnf(5618,plain,
% 177.76/177.65 (P3(f28(f30(a18),f33(a18),f33(a18)))),
% 177.76/177.65 inference(scs_inference,[],[893,546,1173,295,285,288,5037,5244,1428,5193,4589,2248,2965,4777,4278,4977,5503,5562,5139,5453,5476,5030,3139,5551,2,160,3,71,47,64,63,167,30,28,29,32,58,10,22,16,11,169,23,19,119])).
% 177.76/177.65 cnf(5624,plain,
% 177.76/177.65 (P5(f28(f30(a1),f33(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[893,546,1173,295,285,288,5037,5244,1428,2390,5193,4589,2248,2965,4777,5569,4278,4977,5503,5562,5139,5453,5476,5030,3139,5551,2,160,3,71,47,64,63,167,30,28,29,32,58,10,22,16,11,169,23,19,119,168,120,122])).
% 177.76/177.65 cnf(5658,plain,
% 177.76/177.65 (E(f29(f28(x56581,a22,a22)),f29(f28(x56581,a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[2730,5335,5529,3474,157,168,25,9,174,8])).
% 177.76/177.65 cnf(5662,plain,
% 177.76/177.65 (~P14(f29(f30(a1)),f30(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[2730,5335,3874,5529,5390,4802,3474,640,157,168,25,9,174,8,15,2,65,188])).
% 177.76/177.65 cnf(5668,plain,
% 177.76/177.65 (~P7(f29(f30(a16)),f7(f17(a16)))),
% 177.76/177.65 inference(scs_inference,[],[2730,5335,566,758,5090,3874,2369,4386,5529,5390,4802,3474,5562,601,640,157,168,25,9,174,8,15,2,65,188,60,33,58,167])).
% 177.76/177.65 cnf(5680,plain,
% 177.76/177.65 (~P14(f29(x56801),x56801)),
% 177.76/177.65 inference(rename_variables,[],[3139])).
% 177.76/177.65 cnf(5682,plain,
% 177.76/177.65 (P12(f30(f27(a12)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[2730,651,4493,2800,4770,5335,566,758,486,5090,5597,3874,4923,5588,1916,2369,4386,5529,5390,4802,3487,4369,895,3474,5024,5562,601,464,4357,640,3139,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51])).
% 177.76/177.65 cnf(5696,plain,
% 177.76/177.65 (~P10(f23(f29(a22)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[2730,651,4493,2800,4770,4251,5335,566,450,456,758,4424,486,1087,986,910,5090,5597,3874,4923,4307,4498,5588,1853,1916,2369,4386,5529,5609,5390,4802,3487,4369,895,3474,5024,5562,601,464,4297,4357,75,80,113,640,3139,5680,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51,48,71,3,59,170,172,185,177])).
% 177.76/177.65 cnf(5702,plain,
% 177.76/177.65 (~P12(f23(f29(a22)),f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[2730,651,4805,4493,3991,2800,4770,4251,5335,566,450,456,758,4424,486,1087,986,2787,976,585,3386,3077,3079,910,5090,5597,3874,4923,4307,4498,5588,1853,1916,2369,4386,5529,5609,5390,4802,3487,4369,895,3474,5024,5562,601,464,4297,4357,75,80,113,640,3139,5680,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51,48,71,3,59,170,172,185,177,179,190,175])).
% 177.76/177.65 cnf(5706,plain,
% 177.76/177.65 (P13(f26(f27(a1)),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[2730,4172,651,4805,4493,3991,2800,4770,4251,5335,4157,566,450,456,4074,758,4424,463,486,1087,986,2787,976,585,3386,3077,3079,910,5090,5597,3874,4923,4307,4498,5588,1853,1916,2369,4386,5529,5609,5390,4802,3487,4369,895,3474,5024,5562,601,464,4297,4357,75,80,113,640,3139,5680,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51,48,71,3,59,170,172,185,177,179,190,175,181,182])).
% 177.76/177.65 cnf(5708,plain,
% 177.76/177.65 (~P12(f23(f29(a2)),f27(a12))),
% 177.76/177.65 inference(scs_inference,[],[2730,4172,651,4805,4493,3991,2800,4770,4251,5335,4157,566,450,456,4074,758,4424,463,486,1087,986,2787,976,585,3386,3077,3079,910,5090,5597,3874,4923,4307,4498,5588,1853,1916,2369,4386,5529,5609,5390,4802,3487,4369,895,3474,5024,5562,601,464,4297,4357,75,80,113,640,3139,5680,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51,48,71,3,59,170,172,185,177,179,190,175,181,182,3111])).
% 177.76/177.65 cnf(5712,plain,
% 177.76/177.65 (P8(f31(a13),f32(f30(a13),f30(a13)),f30(a13))),
% 177.76/177.65 inference(scs_inference,[],[2730,4172,651,4805,4493,3991,2800,4770,4251,5335,4157,566,450,456,4074,758,4424,463,486,1087,986,2787,976,585,3386,3077,3079,910,1107,5090,5597,4723,3874,4923,4307,4498,5588,1853,1916,2369,4386,5529,5609,5390,4802,3487,4369,895,3474,5024,5562,601,464,4297,4357,75,80,113,640,3139,5680,106,157,168,25,9,174,8,15,2,65,188,60,33,58,167,50,63,55,42,64,47,70,56,51,48,71,3,59,170,172,185,177,179,190,175,181,182,3111,207,206])).
% 177.76/177.65 cnf(5729,plain,
% 177.76/177.65 (~E(f28(f30(a13),f31(a13),f31(a13)),f28(x57291,x57292,x57293))+E(f30(a13),x57291)),
% 177.76/177.65 inference(scs_inference,[],[5712,2128])).
% 177.76/177.65 cnf(5732,plain,
% 177.76/177.65 (~E(x57321,f29(f29(x57321)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(5735,plain,
% 177.76/177.65 (~E(x57351,f29(f29(x57351)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(5738,plain,
% 177.76/177.65 (~E(x57381,f29(f29(x57381)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(5742,plain,
% 177.76/177.65 (~E(x57421,f29(f29(x57421)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(5746,plain,
% 177.76/177.65 (P2(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4046,4996,5732,5735,5738,1523,1760,1869,5492,5729,125,124])).
% 177.76/177.65 cnf(5748,plain,
% 177.76/177.65 (E(f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13))),f27(f27(a13)))),
% 177.76/177.65 inference(scs_inference,[],[4136,4046,2289,4996,5732,5735,5738,1523,1760,1869,5492,5729,125,124,191])).
% 177.76/177.65 cnf(5754,plain,
% 177.76/177.65 (~P7(f29(a11),f29(f29(f10(x57541))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4046,5624,2289,4151,4559,4996,5732,5735,5738,1523,1760,1869,5492,5729,125,124,191,126,168,174])).
% 177.76/177.65 cnf(5759,plain,
% 177.76/177.65 (E(f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13))),f27(a13))),
% 177.76/177.65 inference(scs_inference,[],[4136,4027,4046,5624,2287,2289,4040,4151,4559,4996,5732,5735,5738,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192])).
% 177.76/177.65 cnf(5761,plain,
% 177.76/177.65 (~P25(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4027,4046,4084,5624,2287,2289,4040,4151,4559,4996,5732,5735,5738,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137])).
% 177.76/177.65 cnf(5763,plain,
% 177.76/177.65 (~P14(x57631,f23(f29(f23(f29(a9)))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4027,4046,4084,5624,2287,2289,4040,4151,4559,662,4996,5732,5735,5738,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186])).
% 177.76/177.65 cnf(5766,plain,
% 177.76/177.65 (~P16(f30(f28(f30(a15),f33(a15),f31(a15))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4027,4046,4084,5624,916,2287,2289,4040,4151,5309,4559,662,4996,5732,5735,5738,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138])).
% 177.76/177.65 cnf(5768,plain,
% 177.76/177.65 (~P16(f17(f28(f30(a15),f33(a15),f31(a15))))),
% 177.76/177.65 inference(scs_inference,[],[4136,4027,4046,4084,5624,916,2287,2289,4040,4151,5309,4559,662,4996,5732,5735,5738,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139])).
% 177.76/177.65 cnf(5772,plain,
% 177.76/177.65 (~P7(f29(a11),f29(f29(f23(f29(a22)))))),
% 177.76/177.65 inference(scs_inference,[],[4136,3118,4027,4046,4084,5624,916,2287,2289,4040,4151,5309,5272,4559,4243,662,3136,4996,5732,5735,5738,640,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188])).
% 177.76/177.65 cnf(5778,plain,
% 177.76/177.65 (~P10(a22,f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4124,4046,4084,5624,916,2287,2289,4040,4151,2602,3532,5578,5309,5272,4559,5203,4243,662,3136,4996,5732,5735,5738,640,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58])).
% 177.76/177.65 cnf(5779,plain,
% 177.76/177.65 (P14(f25(f27(a1)),f29(f30(a1)))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4124,4046,4084,2168,5624,916,2287,2289,4040,4151,2602,3532,5578,5309,5272,4559,5203,4243,662,3136,4996,5732,5735,5738,640,115,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167])).
% 177.76/177.65 cnf(5782,plain,
% 177.76/177.65 (~E(f5(f27(f27(a12))),f23(f29(a9)))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4098,4124,4046,4084,2168,3975,5624,916,2287,2289,4040,4151,2602,3532,5578,5309,5272,4559,5203,4243,662,3136,4996,5732,5735,5738,640,115,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50])).
% 177.76/177.65 cnf(5786,plain,
% 177.76/177.65 (P7(x57861,f29(x57861))),
% 177.76/177.65 inference(rename_variables,[],[267])).
% 177.76/177.65 cnf(5793,plain,
% 177.76/177.65 (~P12(f23(f29(a2)),f28(f30(f27(a1)),f31(f27(a1)),f33(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,2168,2835,3975,5624,916,2287,2289,4040,4147,4151,2602,3532,5578,5309,4814,5272,4559,694,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51])).
% 177.76/177.65 cnf(5798,plain,
% 177.76/177.65 (~P10(f23(f29(a22)),f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,2168,2835,3975,5624,916,2287,2421,1565,2289,4040,4147,4151,2602,3532,5578,5309,462,4814,5272,4559,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59])).
% 177.76/177.65 cnf(5811,plain,
% 177.76/177.65 (P28(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,4168,2168,2835,3975,5624,916,4281,2287,2421,4249,1565,480,4251,456,1438,2289,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149])).
% 177.76/177.65 cnf(5815,plain,
% 177.76/177.65 (P12(f5(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,4168,2168,2835,3975,5624,916,4281,2287,2421,4249,1565,480,4251,456,1438,2289,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161])).
% 177.76/177.65 cnf(5825,plain,
% 177.76/177.65 (P10(f26(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,4168,2168,2835,3975,4824,5624,4822,916,544,4281,2287,2421,573,4249,1565,480,4251,456,1438,2289,976,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164])).
% 177.76/177.65 cnf(5831,plain,
% 177.76/177.65 (P1(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,4168,2168,2835,3975,4824,5624,4822,916,4295,544,4281,2287,2421,573,4249,1565,480,4251,456,1438,2289,976,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140])).
% 177.76/177.65 cnf(5835,plain,
% 177.76/177.65 (P9(f30(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4081,4098,4124,4046,4084,4168,2168,2835,3975,4824,5624,4822,916,4295,544,4281,583,2287,2421,573,4249,1565,480,4251,456,1438,2289,976,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162])).
% 177.76/177.65 cnf(5841,plain,
% 177.76/177.65 (~P10(f23(f29(a9)),f27(f28(f30(a12),f31(a12),f33(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4000,4081,4120,4098,4124,4046,4084,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,2421,573,4249,1565,4277,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,3732,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187])).
% 177.76/177.65 cnf(5843,plain,
% 177.76/177.65 (P10(f30(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4000,4081,4120,4098,4124,4046,4084,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,2421,573,4249,1565,4277,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,3732,4243,662,3136,4996,5732,5735,5738,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180])).
% 177.76/177.65 cnf(5860,plain,
% 177.76/177.65 (~E(x58601,f29(f29(x58601)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(5871,plain,
% 177.76/177.65 (P11(f31(f27(a15)),f32(f30(f27(a15)),f30(f27(a15))),f30(f27(a15)))),
% 177.76/177.65 inference(scs_inference,[],[4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,1016,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197])).
% 177.76/177.65 cnf(5881,plain,
% 177.76/177.65 (E(f17(f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1)))),f17(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,1016,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21])).
% 177.76/177.65 cnf(5888,plain,
% 177.76/177.65 (E(f4(x58881,f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1)))),f4(x58881,f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,1016,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12])).
% 177.76/177.65 cnf(5891,plain,
% 177.76/177.65 (P7(f17(f28(f30(a15),f33(a15),f31(a15))),f29(f30(f28(f30(a15),f33(a15),f31(a15)))))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,4212,694,644,5203,4465,1016,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178])).
% 177.76/177.65 cnf(5896,plain,
% 177.76/177.65 (~P9(f23(f29(a2)),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,328,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,3796,4212,694,644,5203,4465,1016,5562,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178,183,41,47])).
% 177.76/177.65 cnf(5899,plain,
% 177.76/177.65 (P9(f25(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,328,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,3796,4212,694,644,5203,4465,1016,5562,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178,183,41,47,134,163])).
% 177.76/177.65 cnf(5901,plain,
% 177.76/177.65 (P26(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,976,3386,3077,3079,328,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,3796,4212,694,644,5203,4465,1016,5562,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178,183,41,47,134,163,147])).
% 177.76/177.65 cnf(5909,plain,
% 177.76/177.65 (P7(f5(f27(a1)),f29(f30(f27(f27(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,2831,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,2787,976,585,3386,3077,3079,328,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,3796,4212,694,644,5203,4465,1016,5562,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178,183,41,47,134,163,147,150,165,172,189])).
% 177.76/177.65 cnf(5911,plain,
% 177.76/177.65 (~P10(f23(f29(a9)),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[5486,4086,4136,3118,4027,4000,4081,4120,4098,4108,5706,4124,4046,4084,4130,4168,2168,2835,3975,4824,5624,4071,4822,916,4295,544,4281,583,2287,2831,4505,2421,573,4249,1565,4277,4693,480,4157,4251,456,4074,1438,463,2289,2787,976,585,3386,3077,3079,328,910,4040,4147,4151,2602,3532,5578,5309,462,4814,4401,5272,4559,4429,4272,3796,4212,694,644,5203,4465,1016,5562,3732,1056,4243,662,3136,5712,4996,5732,5735,5738,5742,5860,640,115,267,5786,105,106,1523,1760,1869,5492,5729,125,124,191,126,168,174,160,2,192,137,186,138,139,65,36,188,33,34,58,167,50,63,55,42,64,70,56,51,3,48,71,59,204,202,148,173,159,166,149,170,161,146,152,153,155,164,154,151,140,171,162,176,185,187,180,175,179,190,181,182,209,212,213,3913,4758,5064,5312,5315,195,197,194,196,127,128,21,6,14,169,7,20,12,3288,178,183,41,47,134,163,147,150,165,172,189,177])).
% 177.76/177.65 cnf(5924,plain,
% 177.76/177.65 (E(f27(a13),f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5891,5772,5563,168,174,160,2])).
% 177.76/177.65 cnf(5925,plain,
% 177.76/177.65 (P7(f17(f28(f30(a1),f31(a1),f31(a1))),f29(f30(f28(f30(a1),f31(a1),f31(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5891,5488,5772,3211,5563,168,174,160,2,178])).
% 177.76/177.65 cnf(5927,plain,
% 177.76/177.65 (~P16(f30(f28(f30(a1),f31(a1),f31(a1))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5891,5488,5772,3211,5563,168,174,160,2,178,138])).
% 177.76/177.65 cnf(5931,plain,
% 177.76/177.65 (~P7(f29(f24(a22,a22)),f29(f23(f29(a22))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5488,4008,5772,3211,464,5563,168,174,160,2,178,138,183,186])).
% 177.76/177.65 cnf(5933,plain,
% 177.76/177.65 (~P16(f17(f28(f30(a1),f31(a1),f31(a1))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5488,4008,5772,3211,464,5563,168,174,160,2,178,138,183,186,139])).
% 177.76/177.65 cnf(5939,plain,
% 177.76/177.65 (~E(f26(f27(f27(f27(a12)))),f23(f29(a9)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,653,5488,4337,4008,5772,5455,3484,3211,2476,464,5563,168,174,160,2,178,138,183,186,139,188,37,34,58])).
% 177.76/177.65 cnf(5943,plain,
% 177.76/177.65 (~P12(a22,f28(f30(f27(a1)),f31(f27(a1)),f33(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,5793,653,5488,4337,4008,5772,5455,3484,3211,5203,2476,464,5563,3139,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50])).
% 177.76/177.65 cnf(5944,plain,
% 177.76/177.65 (P6(f10(x59441),f32(a2,a22))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,5793,653,5488,5215,4337,4008,5772,5455,4878,3484,3211,5203,2476,464,5563,3139,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63])).
% 177.76/177.65 cnf(5948,plain,
% 177.76/177.65 (P14(f27(a13),f29(f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,5793,3973,653,5488,5215,3836,4337,4008,5881,5772,5252,5455,4878,3484,3211,5203,2476,464,3136,5563,3139,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70])).
% 177.76/177.65 cnf(5953,plain,
% 177.76/177.65 (P10(f25(f27(a12)),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,5793,3973,5702,653,3593,4136,5488,5215,3836,4337,4008,5881,5772,5252,5455,4878,3484,3211,5203,2476,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59])).
% 177.76/177.65 cnf(5954,plain,
% 177.76/177.65 (P9(f26(f27(a12)),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5825,5793,3973,5702,653,3126,3593,4136,5488,5215,3836,4337,4008,5881,5772,5252,5455,4878,3484,3211,5203,2476,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48])).
% 177.76/177.65 cnf(5958,plain,
% 177.76/177.65 (~P16(f8(f27(f27(f27(f27(a12))))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,653,3126,3593,4136,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4878,5272,3484,3211,5203,2476,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159])).
% 177.76/177.65 cnf(5960,plain,
% 177.76/177.65 (P9(f25(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,653,3126,3593,4157,4136,4074,463,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4878,5272,3484,3211,5203,2476,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163])).
% 177.76/177.65 cnf(5964,plain,
% 177.76/177.65 (P12(f5(f28(f30(a12),f31(a12),f33(a12))),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,653,3126,3593,4277,4157,4136,4074,463,1438,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4878,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161])).
% 177.76/177.65 cnf(5972,plain,
% 177.76/177.65 (P9(f30(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4878,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162])).
% 177.76/177.65 cnf(5982,plain,
% 177.76/177.65 (P13(f6(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4154,4393,4878,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165])).
% 177.76/177.65 cnf(5984,plain,
% 177.76/177.65 (P10(f26(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4154,4393,4878,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164])).
% 177.76/177.65 cnf(5992,plain,
% 177.76/177.65 (~P9(f23(f29(a22)),f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176])).
% 177.76/177.65 cnf(5996,plain,
% 177.76/177.65 (~P10(f23(f29(a2)),f27(f28(f30(a1),f31(a1),f33(a1))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187])).
% 177.76/177.65 cnf(5998,plain,
% 177.76/177.65 (~P10(f23(f29(a22)),f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179])).
% 177.76/177.65 cnf(6000,plain,
% 177.76/177.65 (~P12(f23(f29(a22)),f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4822,653,3126,3593,4277,4157,4136,4074,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175])).
% 177.76/177.65 cnf(6002,plain,
% 177.76/177.65 (P7(f26(a12),f29(f30(f28(f30(a12),f33(a12),f31(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,5911,5746,5761,5831,5825,5793,5782,3973,5702,548,4493,4822,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,976,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,4297,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189])).
% 177.76/177.65 cnf(6006,plain,
% 177.76/177.65 (P7(f5(a12),f29(f30(f28(f30(a12),f31(a12),f33(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,4116,5911,5746,5761,5831,5825,5793,5782,3973,5702,4349,548,4493,4822,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,976,3386,3077,3079,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,3732,4243,464,4297,3136,5563,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189,180,190])).
% 177.76/177.65 cnf(6011,plain,
% 177.76/177.65 (~E(x60111,f29(f29(x60111)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(6016,plain,
% 177.76/177.65 (P7(f31(a18),f29(f32(f32(f30(a18),f30(a18)),f30(a18))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,4116,5911,5746,5761,5831,5825,5793,5782,3973,5702,4349,548,4493,4822,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,976,3386,3077,3079,1484,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,1417,1048,1358,1058,3732,4243,464,4297,3136,5563,4580,4996,6011,2881,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189,180,190,181,212,213,208])).
% 177.76/177.65 cnf(6018,plain,
% 177.76/177.65 (P5(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,4116,5911,5746,5761,5831,5825,5793,5782,3973,5702,4349,548,4493,4822,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,976,3386,3077,3079,1484,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,1417,1048,1358,1058,3732,4243,464,4297,3136,5563,4580,4996,6011,2881,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189,180,190,181,212,213,208,122])).
% 177.76/177.65 cnf(6022,plain,
% 177.76/177.65 (P3(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,4116,5911,5746,5761,5831,5825,5793,5782,3973,5702,4349,548,4493,4822,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,976,3386,3077,3079,1484,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,1417,1048,1358,1058,3732,4243,464,4297,3136,5563,4580,4996,6011,2881,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189,180,190,181,212,213,208,122,120,119])).
% 177.76/177.65 cnf(6034,plain,
% 177.76/177.65 (E(f28(f30(f27(a18)),f33(f27(a18)),f31(f27(a18))),f27(a18))),
% 177.76/177.65 inference(scs_inference,[],[5759,5768,5891,2423,4116,5911,5746,5761,5831,5825,5793,5782,3973,5702,4349,548,4493,4822,750,653,3126,3593,4277,4157,4136,4074,4424,463,986,1438,762,976,3386,3077,3079,1484,5488,5215,3836,4337,5763,4008,5881,5772,5252,5455,4451,4076,4155,4154,4393,4878,4392,4156,4391,5272,3484,3211,5203,2476,4465,1417,1048,1358,1058,3732,4243,464,4297,3136,5563,4580,4996,6011,2881,3139,106,168,174,160,2,178,138,183,186,139,188,37,34,58,167,50,63,55,42,70,56,51,59,48,3,71,159,163,149,161,170,146,166,162,151,147,172,152,165,164,150,171,155,176,185,187,179,175,189,180,190,181,212,213,208,122,120,119,19,11,23,16,169,22,10,4463,192])).
% 177.76/177.65 cnf(6056,plain,
% 177.76/177.65 (P4(f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[6018,6016,193,121])).
% 177.76/177.65 cnf(6060,plain,
% 177.76/177.65 (~P7(a11,f29(f23(f29(a2))))),
% 177.76/177.65 inference(scs_inference,[],[6018,5944,2123,6016,193,121,168,174])).
% 177.76/177.65 cnf(6071,plain,
% 177.76/177.65 (P2(f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13))))),
% 177.76/177.65 inference(scs_inference,[],[2159,6006,6002,6018,2289,5944,5931,5939,5924,2123,3484,1446,662,6016,193,121,168,174,160,2,123,186,188,31])).
% 177.76/177.65 cnf(6074,plain,
% 177.76/177.65 (~P7(f29(f30(a1)),f7(f8(a1)))),
% 177.76/177.65 inference(scs_inference,[],[2159,5996,6006,6002,6018,2289,5944,5931,5939,2672,4576,5924,2123,3484,1446,5203,2477,662,6016,193,121,168,174,160,2,123,186,188,31,46,58,167])).
% 177.76/177.65 cnf(6084,plain,
% 177.76/177.65 (~P14(f29(x60841),x60841)),
% 177.76/177.65 inference(rename_variables,[],[3139])).
% 177.76/177.65 cnf(6087,plain,
% 177.76/177.65 (P12(f5(f28(f30(a12),f31(a12),f33(a12))),f27(a12))),
% 177.76/177.65 inference(scs_inference,[],[5960,5766,2159,5964,5996,6006,6002,6018,5943,2289,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4559,895,3647,3484,1446,5203,2477,2061,662,1681,6016,3139,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51])).
% 177.76/177.65 cnf(6093,plain,
% 177.76/177.65 (P9(f25(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,6002,6018,5696,5943,3002,4136,4424,986,2289,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4559,895,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163])).
% 177.76/177.65 cnf(6095,plain,
% 177.76/177.65 (~P16(f8(f28(f30(a12),f33(a12),f31(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,6002,6018,5696,5943,3002,4136,4424,986,2289,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4559,895,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159])).
% 177.76/177.65 cnf(6109,plain,
% 177.76/177.65 (P9(f30(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,5811,6002,6018,6022,5696,5943,3002,4136,4424,4157,4074,986,5761,2289,463,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162])).
% 177.76/177.65 cnf(6113,plain,
% 177.76/177.65 (P10(f26(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,5811,6002,6018,6022,5696,5943,3002,4295,4136,4424,4157,4074,986,5761,2289,463,1438,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164])).
% 177.76/177.65 cnf(6117,plain,
% 177.76/177.65 (P13(f6(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,5811,6002,6018,6022,5696,5943,3002,4295,4136,4424,4157,4074,986,5761,2289,463,1438,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165])).
% 177.76/177.65 cnf(6121,plain,
% 177.76/177.65 (~P9(f23(f29(a2)),f27(f27(f27(f27(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5964,5996,6006,5811,6002,6018,6022,5696,5943,3002,5901,4295,4136,4424,4157,5831,4074,986,5746,5761,2289,463,1438,1419,5944,5212,5051,5931,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176])).
% 177.76/177.65 cnf(6129,plain,
% 177.76/177.65 (P7(f25(f28(f30(a1),f31(a1),f33(a1))),f29(f30(f28(f30(a1),f31(a1),f33(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5901,4295,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,1419,3386,3077,3079,5944,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,3732,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189])).
% 177.76/177.65 cnf(6131,plain,
% 177.76/177.65 (~P9(f23(f29(a9)),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5911,5901,4295,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,4168,4084,4046,1419,3386,3077,3079,5944,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,3732,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189,180])).
% 177.76/177.65 cnf(6135,plain,
% 177.76/177.65 (P7(f6(f28(f30(a1),f31(a1),f33(a1))),f29(f30(f28(f30(a1),f31(a1),f33(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5982,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5911,5901,4295,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,4168,4084,4046,1419,3386,3077,3079,5944,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,2061,4297,662,1681,3732,4357,6016,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189,180,175,190])).
% 177.76/177.65 cnf(6140,plain,
% 177.76/177.65 (~E(x61401,f29(f29(x61401)))),
% 177.76/177.65 inference(rename_variables,[],[4996])).
% 177.76/177.65 cnf(6142,plain,
% 177.76/177.65 (P10(f5(f28(f30(a12),f31(a12),f33(a12))),f27(f27(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5982,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5911,5901,4295,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,4168,4084,4046,1419,3386,3077,3079,5944,5953,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,1767,1722,2061,4297,662,1681,3732,4357,6016,4996,2636,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189,180,175,190,182,212,3111])).
% 177.76/177.65 cnf(6152,plain,
% 177.76/177.65 (P12(f5(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5982,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5911,5901,4295,2287,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,4168,4084,976,4046,1419,3386,3077,3079,5944,5953,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,1767,1722,2061,4297,662,1681,3732,4357,6016,4996,6140,2636,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189,180,175,190,182,212,3111,15,3721,41,39,149,161])).
% 177.76/177.65 cnf(6156,plain,
% 177.76/177.65 (P13(f8(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6034,5960,5982,5766,2159,5682,5964,5996,6006,5811,6002,6018,6022,5843,5696,5943,3002,5911,5901,4295,2287,4136,4424,4277,4157,5831,4074,986,5746,5761,2289,463,1438,4168,4084,976,4046,1419,3386,3077,3079,5944,5953,5212,5051,5931,5896,5939,2672,4576,5779,5924,2441,2123,4451,4559,4392,895,4401,3647,3484,4743,1446,5203,2477,1767,1722,2061,4297,662,1681,3732,4357,6016,4996,6140,2636,3139,6084,106,193,121,168,174,160,2,123,186,188,31,46,58,167,50,63,55,42,47,70,56,51,48,59,3,71,163,159,148,173,147,140,151,155,162,171,164,150,165,153,176,185,187,179,189,180,175,190,182,212,3111,15,3721,41,39,149,161,146,166])).
% 177.76/177.65 cnf(6166,plain,
% 177.76/177.65 (E(f27(f27(a13)),f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13))))),
% 177.76/177.65 inference(scs_inference,[],[5748,5909,5948,174,160,2])).
% 177.76/177.65 cnf(6174,plain,
% 177.76/177.65 (E(f4(x61741,f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1)))),f4(x61741,f27(a1)))),
% 177.76/177.65 inference(rename_variables,[],[5888])).
% 177.76/177.65 cnf(6177,plain,
% 177.76/177.65 (P8(f24(x61771,f32(a2,a22)),x61771,f32(a22,a2))),
% 177.76/177.65 inference(rename_variables,[],[4973])).
% 177.76/177.65 cnf(6181,plain,
% 177.76/177.65 (P8(f24(f4(a2,a2),f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13)))),f4(a22,a2),f27(f27(a13)))),
% 177.76/177.65 inference(scs_inference,[],[5748,5909,6006,6060,4973,5447,5888,6174,978,3823,5272,1446,601,3136,5948,174,160,2,186,188,60,32,29,28,30])).
% 177.76/177.65 cnf(6185,plain,
% 177.76/177.65 (P14(f5(f27(a1)),f29(f30(f27(f27(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[5748,5909,5998,6006,6060,4973,5447,5888,6174,978,3823,5157,5390,5272,1446,601,3136,5948,115,174,160,2,186,188,60,32,29,28,30,69,58,167])).
% 177.76/177.65 cnf(6188,plain,
% 177.76/177.65 (~E(f5(f28(f30(a12),f33(a12),f31(a12))),f23(f29(a9)))),
% 177.76/177.65 inference(scs_inference,[],[6152,5748,5909,1750,5998,6006,6060,4973,5447,5888,6174,978,3823,5157,5390,5272,1446,601,3136,5948,115,174,160,2,186,188,60,32,29,28,30,69,58,167,50])).
% 177.76/177.65 cnf(6191,plain,
% 177.76/177.65 (P6(f27(f24(a2,a22)),f27(f24(a22,a22)))),
% 177.76/177.65 inference(scs_inference,[],[6152,5748,5909,1750,5998,6006,6060,4013,4973,5447,5888,6174,978,3823,5157,3144,5390,5272,1446,601,3136,5948,115,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64])).
% 177.76/177.65 cnf(6193,plain,
% 177.76/177.65 (P7(x61931,f29(x61931))),
% 177.76/177.65 inference(rename_variables,[],[267])).
% 177.76/177.65 cnf(6209,plain,
% 177.76/177.65 (~P9(f23(f29(a2)),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6152,6095,5748,5909,1750,5998,5992,5708,2797,1890,6006,4136,4424,4168,4084,4046,1419,986,6060,4013,4973,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176])).
% 177.76/177.65 cnf(6211,plain,
% 177.76/177.65 (~P10(f23(f29(a22)),f27(f27(f27(f27(f27(a12))))))),
% 177.76/177.65 inference(scs_inference,[],[6152,6095,5748,5909,1750,5998,5992,6000,5708,2797,1890,6006,4136,5831,5746,5761,4424,4168,4084,4046,1419,986,6060,4013,4973,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187])).
% 177.76/177.65 cnf(6213,plain,
% 177.76/177.65 (~P16(f26(f28(f30(a12),f33(a12),f31(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6113,6152,6095,5748,5909,1750,5998,5992,6000,5708,2797,1890,6006,4136,5831,5746,5761,4424,4168,4084,4046,1419,986,6060,4013,4973,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187,177])).
% 177.76/177.65 cnf(6217,plain,
% 177.76/177.65 (P13(f5(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6113,6152,6095,5748,5909,1750,5998,5992,6000,5708,2797,1890,6006,4136,4277,5831,5746,5761,4424,4168,4084,1438,4046,1419,986,6060,4013,4973,5954,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,3732,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187,177,189,181])).
% 177.76/177.65 cnf(6223,plain,
% 177.76/177.65 (P8(f31(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6113,6152,6095,5748,5909,1750,5998,5992,6000,708,5708,2797,1890,6006,4136,4277,5831,5746,5761,4424,4168,4084,1438,4046,1419,986,6060,4134,4013,4973,6177,5954,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,3732,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187,177,189,181,157,207,206])).
% 177.76/177.65 cnf(6225,plain,
% 177.76/177.65 (~P6(f29(a11),f29(f23(f29(a2))))),
% 177.76/177.65 inference(scs_inference,[],[6113,6152,6095,5748,5909,1750,5998,5992,6000,708,5708,2797,1890,6006,4136,4277,5831,5746,5761,4424,4168,4084,1438,4046,1419,986,6060,4134,4013,4973,6177,5954,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,3732,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187,177,189,181,157,207,206,168])).
% 177.76/177.65 cnf(6228,plain,
% 177.76/177.65 (E(f24(f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13))),x62281),f24(f27(f27(a13)),x62281))),
% 177.76/177.65 inference(scs_inference,[],[6113,6152,6095,5748,5909,1750,5998,5992,6000,708,5708,2797,1890,6006,4136,4277,5831,5746,5761,4424,4168,4084,1438,4046,1419,986,6060,4134,4013,4973,6177,5954,5447,5888,6174,978,3823,5157,3833,496,3144,5763,5390,5272,1446,721,601,2061,3732,4297,3136,5948,4261,115,267,6193,105,174,160,2,186,188,60,32,29,28,30,69,58,167,50,63,64,55,42,47,70,56,51,48,59,3,71,185,176,187,177,189,181,157,207,206,168,26,9])).
% 177.76/177.65 cnf(6257,plain,
% 177.76/177.65 (~P7(f29(f30(f27(f27(a1)))),f29(f23(f29(a22))))),
% 177.76/177.65 inference(scs_inference,[],[6188,6191,6185,5754,1908,464,168,174,160,2,186])).
% 177.76/177.65 cnf(6261,plain,
% 177.76/177.65 (P11(f24(f27(f27(a13)),f27(a13)),f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13))),f28(f30(a13),f31(a13),f33(a13)))),
% 177.76/177.65 inference(scs_inference,[],[6188,500,6191,6228,3530,6185,5754,1908,3302,464,168,174,160,2,186,188,32])).
% 177.76/177.65 cnf(6271,plain,
% 177.76/177.65 (~P12(f23(f29(a9)),f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6213,5984,6188,2549,5287,500,6191,2583,1497,6228,3530,6166,6185,5754,5100,5449,1908,3302,5272,1681,464,3139,168,174,160,2,186,188,32,29,28,30,39,58,167,50])).
% 177.76/177.65 cnf(6272,plain,
% 177.76/177.65 (P6(f27(f24(a22,a2)),f27(f24(a2,a2)))),
% 177.76/177.65 inference(scs_inference,[],[6213,5984,6188,2549,5287,500,6191,2583,4011,1497,6228,3530,6166,6185,5754,5100,5449,1908,3062,3302,5272,1681,464,3139,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63])).
% 177.76/177.65 cnf(6274,plain,
% 177.76/177.65 (~P6(f30(a16),f23(f29(a9)))),
% 177.76/177.65 inference(scs_inference,[],[6213,5984,6188,2549,5287,500,6191,2583,4011,1097,1497,6228,3530,6166,6185,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3139,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64])).
% 177.76/177.65 cnf(6276,plain,
% 177.76/177.65 (P14(f27(a18),f29(f28(f30(f27(a18)),f33(f27(a18)),f31(f27(a18)))))),
% 177.76/177.65 inference(scs_inference,[],[6213,5984,5835,6209,6188,2549,5287,500,6034,6191,2583,4011,1097,1497,6228,3530,6166,6185,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,3139,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70])).
% 177.76/177.65 cnf(6277,plain,
% 177.76/177.65 (P14(x62771,f29(x62771))),
% 177.76/177.65 inference(rename_variables,[],[3136])).
% 177.76/177.65 cnf(6280,plain,
% 177.76/177.65 (~P12(f23(f29(a9)),f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6213,5984,5835,6209,6188,2549,5287,3043,500,6034,4086,6191,2583,4011,1097,1497,6228,3530,6166,6185,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51])).
% 177.76/177.65 cnf(6286,plain,
% 177.76/177.65 (~P12(f23(f29(a22)),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6093,6213,5984,5835,6209,6188,2549,5287,5998,3043,500,6034,4086,912,4168,4084,4046,314,6191,2583,4011,1097,1497,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185])).
% 177.76/177.65 cnf(6288,plain,
% 177.76/177.65 (~P10(a22,f27(f27(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6093,6213,5984,5835,6209,6188,2549,5287,5998,3043,500,6034,2787,4086,912,585,4168,976,4084,4046,314,6191,2583,4011,1097,1497,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187])).
% 177.76/177.65 cnf(6292,plain,
% 177.76/177.65 (~P9(a22,f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6093,6213,5984,5835,6209,6121,6188,2549,5287,5998,3043,500,6034,5831,2787,4086,5746,912,585,5761,4168,976,4084,4046,314,6191,2583,4011,1097,1497,5778,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187,179,180])).
% 177.76/177.65 cnf(6294,plain,
% 177.76/177.65 (P2(f27(f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13)))))),
% 177.76/177.65 inference(scs_inference,[],[6093,6071,6213,5984,5835,6209,6121,6188,2549,5287,5998,3043,500,6034,5831,2787,4086,5746,912,585,5761,4168,976,4084,4046,314,6191,2583,4011,1097,1497,5778,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187,179,180,124])).
% 177.76/177.65 cnf(6304,plain,
% 177.76/177.65 (E(f28(f30(f27(a18)),f31(f27(a18)),f33(f27(a18))),f27(f27(a18)))),
% 177.76/177.65 inference(scs_inference,[],[6093,6071,6213,5984,5835,6209,6121,6188,2549,5287,5998,4691,3043,500,6034,5831,2787,762,4086,5746,912,585,5761,4168,976,4084,4046,314,6191,2583,4011,1097,1497,5778,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187,179,180,124,125,117,197,195,191])).
% 177.76/177.65 cnf(6321,plain,
% 177.76/177.65 (E(f4(x63211,f28(f30(f27(a18)),f33(f27(a18)),f31(f27(a18)))),f4(x63211,f27(a18)))),
% 177.76/177.65 inference(scs_inference,[],[5618,6093,6071,6213,5984,5835,6209,6121,6188,2549,5490,5287,5998,4691,3043,4515,500,6034,5831,2787,762,4086,5746,912,585,5761,4168,976,4084,4046,314,6191,2583,4011,1097,1497,5778,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187,179,180,124,125,117,197,195,191,194,196,126,127,128,21,14,7,6,20,12])).
% 177.76/177.65 cnf(6325,plain,
% 177.76/177.65 (P2(f28(f30(f27(a13)),f31(f27(a13)),f33(f27(a13))))),
% 177.76/177.65 inference(scs_inference,[],[5618,6093,6117,6071,6213,5984,5835,6209,6121,6188,2549,5490,5287,5998,4691,3043,4515,500,6034,2551,5831,2787,762,4086,5746,912,585,5761,4168,976,4084,4046,314,6191,2583,4011,1097,1497,5778,6228,3530,6166,6185,2973,5754,5100,5301,5449,5395,1908,3062,3302,5272,1681,464,3136,6277,3139,106,168,174,160,2,186,188,32,29,28,30,39,58,167,50,63,55,64,47,70,56,51,48,3,59,71,185,187,179,180,124,125,117,197,195,191,194,196,126,127,128,21,14,7,6,20,12,169,35,31])).
% 177.76/177.65 cnf(6337,plain,
% 177.76/177.65 (E(f27(f27(a18)),f28(f30(f27(a18)),f31(f27(a18)),f33(f27(a18))))),
% 177.76/177.65 inference(scs_inference,[],[6304,6129,6276,174,160,2])).
% 177.76/177.65 cnf(6350,plain,
% 177.76/177.65 (~P14(f29(x63501),x63501)),
% 177.76/177.65 inference(rename_variables,[],[3139])).
% 177.76/177.65 cnf(6353,plain,
% 177.76/177.65 (P12(f25(f27(a12)),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6304,6109,6129,6288,2923,4946,3772,5027,5190,3431,4754,1455,5396,4802,694,3020,1289,4357,6276,3139,106,174,160,2,188,58,167,50,55,64,47,70,56,51])).
% 177.76/177.65 cnf(6355,plain,
% 177.76/177.65 (E(f28(f30(a13),f31(a13),f33(a13)),f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13))))),
% 177.76/177.65 inference(scs_inference,[],[6304,6109,6129,6288,2923,4946,3130,3772,1769,4136,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1289,4357,6276,3139,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3])).
% 177.76/177.65 cnf(6361,plain,
% 177.76/177.65 (~P10(f23(f29(a9)),f27(f28(f30(a1),f31(a1),f33(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6304,6109,3420,6129,6288,2923,4946,4413,3130,2326,3772,1769,4136,4157,4074,463,4424,986,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1289,4357,4297,6276,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187])).
% 177.76/177.65 cnf(6363,plain,
% 177.76/177.65 (P10(f30(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6304,6109,3420,5972,6129,6288,2923,4946,4413,3130,2326,3772,1769,4136,4157,4074,463,4424,986,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1289,4357,4297,6276,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180])).
% 177.76/177.65 cnf(6365,plain,
% 177.76/177.65 (E(f33(a13),f31(f27(a13)))),
% 177.76/177.65 inference(scs_inference,[],[6304,6109,3420,5972,6129,6288,2923,4946,4413,3130,2326,3772,1769,4136,4157,4074,463,4424,986,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1016,1048,1058,1056,1289,4357,4297,6276,5712,4580,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180,212])).
% 177.76/177.65 cnf(6371,plain,
% 177.76/177.65 (P3(f27(f28(f30(f27(a13)),f33(f27(a13)),f31(f27(a13)))))),
% 177.76/177.65 inference(scs_inference,[],[6294,6304,6109,3420,5972,6129,6288,2923,4946,4413,3130,2326,3772,1769,4136,4157,4074,463,4424,986,4145,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1016,1048,1058,1056,1289,4357,4297,6276,5712,4580,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180,212,208,122,119])).
% 177.76/177.65 cnf(6374,plain,
% 177.76/177.65 (E(f4(f28(f30(f27(a18)),f31(f27(a18)),f33(f27(a18))),x63741),f4(f27(f27(a18)),x63741))),
% 177.76/177.65 inference(scs_inference,[],[6294,6304,6109,3420,5972,6129,6288,2923,4946,4413,3130,2326,3772,1769,4136,4157,4074,463,4424,986,4145,5027,5190,3431,4754,1455,5396,4802,694,3020,5924,1016,1048,1058,1056,1289,4357,4297,6276,5712,4580,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180,212,208,122,119,19,11])).
% 177.76/177.65 cnf(6382,plain,
% 177.76/177.65 (E(f28(f30(f27(a15)),f33(f27(a15)),f31(f27(a15))),f27(a15))),
% 177.76/177.65 inference(scs_inference,[],[6294,6304,6109,3420,5972,6129,6288,2923,4946,4413,1367,3130,1050,2326,3772,1769,4136,4157,4074,463,1052,4424,986,4145,5027,5190,3431,4754,4608,1455,5396,4802,694,3020,5924,1016,1048,1058,1056,1289,4357,4297,6276,5712,4580,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180,212,208,122,119,19,11,23,16,22,10,5033,178,192])).
% 177.76/177.65 cnf(6385,plain,
% 177.76/177.65 (P9(f26(f28(f30(a12),f33(a12),f31(a12))),f28(f30(a12),f33(a12),f31(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6294,6304,6109,3420,5972,6129,6288,2923,4946,4413,6113,1367,3130,1050,2326,3772,1769,4136,4157,4074,463,1052,4424,986,4145,5027,5190,3431,4754,4993,4608,1455,5396,4802,694,3020,5924,1016,1048,1058,1056,1289,4357,4297,6276,5712,4580,3139,6350,106,174,160,2,188,58,167,50,55,64,47,70,56,51,48,3,59,71,185,187,180,212,208,122,119,19,11,23,16,22,10,5033,178,192,69,179])).
% 177.76/177.65 cnf(6391,plain,
% 177.76/177.65 (~P7(f30(a16),f29(f23(f29(a9))))),
% 177.76/177.65 inference(scs_inference,[],[6371,6274,120,174])).
% 177.76/177.65 cnf(6396,plain,
% 177.76/177.65 (P7(f17(f28(f30(a1),f33(a1),f33(a1))),f29(f30(f28(f30(a1),f33(a1),f33(a1)))))),
% 177.76/177.65 inference(scs_inference,[],[6371,1575,3000,6257,6274,2478,120,174,160,2,178])).
% 177.76/177.65 cnf(6401,plain,
% 177.76/177.65 (~P7(f29(f29(f17(a1))),f29(f17(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,1575,4624,1367,912,3000,5443,6257,6274,2478,3136,120,174,160,2,178,137,36,188])).
% 177.76/177.65 cnf(6410,plain,
% 177.76/177.65 (~E(f5(f27(f27(f27(a12)))),f23(f29(a22)))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,5815,6211,6286,1575,4624,1367,912,3000,5443,6257,3192,6274,2478,5390,3136,115,120,174,160,2,178,137,36,188,33,58,167,50])).
% 177.76/177.65 cnf(6414,plain,
% 177.76/177.65 (P7(x64141,f29(x64141))),
% 177.76/177.65 inference(rename_variables,[],[267])).
% 177.76/177.65 cnf(6415,plain,
% 177.76/177.65 (P6(f27(f24(a22,a2)),f27(f24(a22,a22)))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,5815,6211,6286,1575,4624,1367,912,6272,3000,5443,6257,3192,6274,2983,2478,5390,3136,115,267,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64])).
% 177.76/177.65 cnf(6417,plain,
% 177.76/177.65 (~P9(f23(f29(a22)),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,5815,6211,6286,6292,1575,4624,1367,912,6272,3000,5443,6257,3192,6274,4984,4147,2983,2478,5390,1289,3136,115,267,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47])).
% 177.76/177.65 cnf(6431,plain,
% 177.76/177.65 (P9(f5(f28(f30(a12),f31(a12),f33(a12))),f27(f27(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,6353,6142,5815,6211,6286,6271,6292,1575,4624,2793,2053,2057,1367,4136,2787,4086,912,585,976,4424,986,3386,3077,3079,6272,3000,5443,6257,3192,5668,6274,4984,3548,4147,2983,2478,5763,5390,1289,4297,3136,4261,115,267,6414,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47,56,51,48,71,3,59,185,187,179])).
% 177.76/177.65 cnf(6433,plain,
% 177.76/177.65 (P10(f25(f27(f27(f27(a12)))),f27(f27(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,6353,6142,5815,5899,6211,6286,6271,6292,1575,4624,2793,2053,2057,1367,4136,2787,4086,912,585,976,4168,4084,4424,4046,986,3386,3077,3079,6272,3000,5443,6257,3192,5668,6274,4984,3548,4147,2983,2478,5763,5390,1289,4297,3136,4261,115,267,6414,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47,56,51,48,71,3,59,185,187,179,180])).
% 177.76/177.65 cnf(6435,plain,
% 177.76/177.65 (E(f30(a13),f30(f27(a13)))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,6135,6353,6142,5815,5899,6211,6286,6271,6292,1575,4624,2793,2053,2057,1367,4136,2787,4086,912,585,976,4168,4084,4424,4046,986,3386,3077,3079,6355,6272,3000,5443,6257,3192,5668,6274,4984,3548,4147,2983,2478,5763,5390,1016,1048,1058,1056,1289,4297,3136,4261,5712,4580,115,267,6414,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47,56,51,48,71,3,59,185,187,179,180,214])).
% 177.76/177.65 cnf(6444,plain,
% 177.76/177.65 (P20(f31(f27(a13)),f32(f30(a13),f30(a13)),f30(a13))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,3897,6135,6353,6142,5815,5899,6211,6286,6271,6292,1575,4624,2793,2053,2057,1367,4136,2787,4086,912,585,976,4168,4084,4424,4046,986,3386,3077,3079,6355,6272,3000,5443,6257,3192,5668,6365,6274,4984,3548,4147,2983,2478,5763,5390,1016,1048,1058,1056,1289,4297,3136,4261,5712,4580,115,267,6414,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47,56,51,48,71,3,59,185,187,179,180,214,3898,168,169,15,61,43])).
% 177.76/177.65 cnf(6449,plain,
% 177.76/177.65 (E(f28(f30(f27(a12)),f33(f27(a12)),f31(f27(a12))),f27(a12))),
% 177.76/177.65 inference(scs_inference,[],[6156,6371,6382,3897,6135,5933,6353,6142,5815,5899,6211,6286,6271,6292,1575,4624,2793,3047,2053,2057,1362,1367,4136,2787,4086,912,585,976,4168,3049,4084,4424,4046,986,3386,3077,3079,6355,6272,3000,5443,6257,3192,2232,5668,6365,6274,4984,3548,4147,2983,2478,5763,5390,1016,1048,1058,1056,1289,4297,3136,4261,5712,4580,115,267,6414,105,120,174,160,2,178,137,36,188,33,58,167,50,63,55,64,70,47,56,51,48,71,3,59,185,187,179,180,214,3898,168,169,15,61,43,183,138,192])).
% 177.76/177.65 cnf(6464,plain,
% 177.76/177.65 (E(f27(a12),f28(f30(f27(a12)),f33(f27(a12)),f31(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6449,5925,6415,168,174,2])).
% 177.76/177.65 cnf(6467,plain,
% 177.76/177.65 (~P16(f30(f28(f30(a12),f33(a12),f33(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6449,5925,476,450,6415,3605,2728,168,174,2,53,49,138])).
% 177.76/177.65 cnf(6485,plain,
% 177.76/177.65 (~P12(a22,f28(f30(f27(a1)),f33(f27(a1)),f31(f27(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6217,6449,6363,5925,5927,6280,6002,476,1362,450,912,6415,1713,3605,2728,2801,3541,2232,3905,895,3484,5272,3139,168,174,2,53,49,138,183,139,36,188,33,34,58,167,63,50])).
% 177.76/177.65 cnf(6486,plain,
% 177.76/177.65 (~P6(f25(a12),f23(f29(a2)))),
% 177.76/177.65 inference(scs_inference,[],[6217,6449,6363,5925,5927,6280,6002,476,1362,450,912,6415,1713,3605,2728,2801,3541,5131,2232,3905,895,3484,5272,5562,3139,168,174,2,53,49,138,183,139,36,188,33,34,58,167,63,50,64])).
% 177.76/177.65 cnf(6489,plain,
% 177.76/177.65 (P14(x64891,f29(x64891))),
% 177.76/177.65 inference(rename_variables,[],[3136])).
% 177.76/177.65 cnf(6493,plain,
% 177.76/177.65 (~P12(f23(f29(a2)),f28(f30(f27(a12)),f33(f27(a12)),f31(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6217,6449,6363,5925,5927,6131,6280,5708,5835,6002,476,1362,450,912,6415,1713,4001,3605,2728,2801,3541,4937,5131,2232,3905,895,3484,5272,5562,3136,3139,106,168,174,2,53,49,138,183,139,36,188,33,34,58,167,63,50,64,55,70,47,56,51])).
% 177.76/177.65 cnf(6512,plain,
% 177.76/177.65 (E(f26(f28(f30(f27(a12)),f33(f27(a12)),f31(f27(a12)))),f26(f27(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6217,6385,6449,6363,5925,5927,6131,6433,6280,6410,710,5708,5835,6002,476,1362,450,912,463,4168,4084,4046,3386,3077,3079,314,5871,6415,1713,4001,3605,4485,2728,2801,3541,6417,3591,4937,5131,2232,4080,4156,3905,895,3484,5390,5272,5562,3136,6489,3139,106,168,174,2,53,49,138,183,139,36,188,33,34,58,167,63,50,64,55,70,47,56,51,48,71,3,59,170,179,187,157,207,206,9,26])).
% 177.76/177.65 cnf(6543,plain,
% 177.76/177.65 (P13(f8(f27(f27(a1))),f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6217,6385,6449,4323,6363,5925,5927,6131,6433,6280,6410,710,5708,5835,6002,478,476,4824,573,1362,1994,480,450,4277,2787,912,585,463,1438,976,4168,4084,4046,3386,3077,3079,314,5871,6415,1713,4001,3605,4485,2728,2801,3541,6417,6444,3591,6435,4937,5131,2232,4080,4156,3905,895,3484,5390,5272,5562,662,3732,3136,6489,3139,106,168,174,2,53,49,138,183,139,36,188,33,34,58,167,63,50,64,55,70,47,56,51,48,71,3,59,170,179,187,157,207,206,9,26,25,17,18,13,8,5,169,24,160,62,54,45,137,38,42,148,149,173,161,140,146,166])).
% 177.76/177.65 cnf(6560,plain,
% 177.76/177.65 (~P7(f25(a12),f29(f23(f29(a2))))),
% 177.76/177.65 inference(scs_inference,[],[6486,174])).
% 177.76/177.65 cnf(6569,plain,
% 177.76/177.65 (~P14(f29(f30(a12)),f26(f27(a12)))),
% 177.76/177.65 inference(scs_inference,[],[3791,1632,448,456,5761,6056,6464,6391,6486,4063,174,160,2,52,57,139,188])).
% 177.76/177.65 cnf(6577,plain,
% 177.76/177.65 (P6(f10(x65771),f32(a22,a2))),
% 177.76/177.65 inference(scs_inference,[],[5841,3791,4989,1632,448,708,456,1769,5761,482,4968,6261,6056,6337,5662,6464,6391,6486,4878,4063,5272,174,160,2,52,57,139,188,37,27,34,58,167,63])).
% 177.76/177.65 cnf(6585,plain,
% 177.76/177.65 (~P14(f29(x65851),x65851)),
% 177.76/177.65 inference(rename_variables,[],[3139])).
% 177.76/177.65 cnf(6595,plain,
% 177.76/177.65 (P9(f25(f27(f27(a1))),f27(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,2787,5761,585,976,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,3356,2963,4878,4063,694,4566,5272,84,2095,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163])).
% 177.76/177.65 cnf(6597,plain,
% 177.76/177.65 (P12(f5(f28(f30(a1),f31(a1),f33(a1))),f28(f30(a1),f31(a1),f33(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,4157,2787,4074,5761,585,463,976,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,3356,2963,4878,4063,694,4566,5272,84,2095,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161])).
% 177.76/177.65 cnf(6599,plain,
% 177.76/177.65 (~P16(f8(f28(f30(a1),f31(a1),f33(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,4157,2787,4074,5761,585,463,976,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,3356,2963,4878,4063,694,4566,5272,84,2095,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161,159])).
% 177.76/177.65 cnf(6613,plain,
% 177.76/177.65 (P13(f6(f28(f30(a12),f31(a12),f33(a12))),f28(f30(a12),f31(a12),f33(a12)))),
% 177.76/177.65 inference(scs_inference,[],[6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,4277,4157,2787,4074,5761,585,463,1438,976,986,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,4390,3356,2963,4878,4391,4451,4063,4393,694,4566,5272,84,2095,3732,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161,159,147,149,170,151,162,171,165])).
% 177.76/177.65 cnf(6627,plain,
% 177.76/177.65 (P10(f5(f28(f30(a1),f31(a1),f33(a1))),f27(f28(f30(a1),f31(a1),f33(a1))))),
% 177.76/177.65 inference(scs_inference,[],[6543,6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,5831,4277,5746,4157,2787,4074,5761,585,463,1438,976,986,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,4390,3356,2963,4878,4391,4451,4063,4393,694,4566,5272,84,2095,3732,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161,159,147,149,170,151,162,171,165,150,164,166,146,175,190,185])).
% 177.76/177.65 cnf(6631,plain,
% 177.76/177.65 (~E(f5(f28(f30(a1),f31(a1),f33(a1))),a9)),
% 177.76/177.65 inference(scs_inference,[],[6543,3277,6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,456,6382,5759,1769,6449,4136,5831,4277,5746,4157,2787,4074,5761,585,463,1438,976,986,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,4390,3356,2963,4878,4391,4451,4063,4393,694,4566,5272,84,2095,3732,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161,159,147,149,170,151,162,171,165,150,164,166,146,175,190,185,187,4530])).
% 177.76/177.65 cnf(6642,plain,
% 177.76/177.65 (E(f28(f30(f27(a15)),f31(f27(a15)),f33(f27(a15))),f27(f27(a15)))),
% 177.76/177.65 inference(scs_inference,[],[6325,6543,3277,6467,5841,6431,3791,4989,6485,1632,3947,6087,3536,448,1952,708,4249,4251,456,6382,5759,1769,6449,4136,5831,4277,5746,4157,2787,4074,5761,1052,585,463,1438,976,986,482,4968,6261,6056,3705,6401,6337,5658,5662,6464,6391,6486,4390,3356,2963,4878,4391,4451,4063,4393,694,4566,5272,84,2095,3732,3139,6585,174,160,2,52,57,139,188,37,27,34,58,167,63,50,42,64,55,70,47,56,51,48,3,71,59,163,161,159,147,149,170,151,162,171,165,150,164,166,146,175,190,185,187,4530,124,125,194,195,197,191])).
% 177.76/177.65 cnf(6682,plain,
% 177.76/177.65 (E(f27(f27(a15)),f28(f30(f27(a15)),f31(f27(a15)),f33(f27(a15))))),
% 177.76/177.65 inference(scs_inference,[],[6642,6396,174,2])).
% 177.76/177.65 cnf(6683,plain,
% 177.76/177.65 (~P7(f29(f29(f8(a1))),f29(f8(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6642,6396,5540,3136,174,2,188])).
% 177.76/177.65 cnf(6698,plain,
% 177.76/177.65 (P7(x66981,f29(x66981))),
% 177.76/177.65 inference(rename_variables,[],[267])).
% 177.76/177.65 cnf(6734,plain,
% 177.76/177.65 (P7(f25(f28(f30(a12),f33(a12),f31(a12))),f29(f30(f28(f30(a12),f33(a12),f31(a12)))))),
% 177.76/177.65 inference(scs_inference,[],[6642,6597,6396,1996,3124,2574,6093,6288,3983,3429,488,6449,4277,5831,5746,5761,2787,4424,1438,585,986,976,6577,5580,6512,5540,6074,3299,4557,644,721,86,2095,3732,4297,3136,4261,115,267,6698,105,174,2,188,39,58,167,63,50,42,64,55,70,56,51,48,3,71,59,148,159,163,147,151,162,165,164,150,140,176,175,189])).
% 177.76/177.65 cnf(6790,plain,
% 177.76/177.65 (~P7(f30(a16),f29(f23(f29(a2))))),
% 177.76/177.65 inference(scs_inference,[],[4398,5596,168,174])).
% 177.76/177.65 cnf(6797,plain,
% 177.76/177.65 (E(f4(f28(f30(f27(a18)),f31(f27(a18)),f33(f27(a18))),x67971),f4(f27(f27(a18)),x67971))),
% 177.76/177.65 inference(rename_variables,[],[6374])).
% 177.76/177.65 cnf(6800,plain,
% 177.76/177.65 (P8(f4(x68001,f28(x68002,a2,x68003)),x68001,f28(x68002,a22,x68003))),
% 177.76/177.65 inference(rename_variables,[],[3694])).
% 177.76/177.65 cnf(6812,plain,
% 177.76/177.65 (~P12(a22,f28(f30(f27(a12)),f33(f27(a12)),f31(f27(a12))))),
% 177.76/177.65 inference(scs_inference,[],[6627,6599,6361,6493,6631,2190,758,4398,6374,6797,3694,6800,6682,4371,4379,5596,895,5203,86,6225,3139,168,174,2,123,37,32,29,30,28,58,167,63,50])).
% 177.76/177.65 cnf(6899,plain,
% 177.76/177.65 (~P14(f29(x68991),x68991)),
% 177.76/177.65 inference(rename_variables,[],[3139])).
% 177.76/177.65 cnf(6919,plain,
% 177.76/177.65 (~P8(f33(f27(a1)),f32(f30(f27(a1)),f30(f27(a1))),f30(f27(a1)))),
% 177.76/177.65 inference(scs_inference,[],[6734,6595,1398,6613,5958,6812,2865,6385,3124,3055,5984,6597,3025,1671,1362,486,6382,6642,1769,4136,4086,6449,4277,4157,4424,4074,2787,585,463,986,1438,976,314,2608,6790,6321,6181,3820,5283,5798,6560,6683,3909,6569,5409,5250,4879,4141,1270,2668,734,6337,2232,694,3907,4143,5390,4035,5562,464,1289,3732,4297,6223,3139,6899,160,174,2,178,32,29,39,30,28,58,167,42,63,50,64,55,47,70,56,51,48,3,59,71,175,179,189,190,187,180,214])).
% 177.76/177.65 cnf(6949,plain,
% 177.76/177.65 ($false),
% 177.76/177.65 inference(scs_inference,[],[6919,4145,206]),
% 177.76/177.65 ['proof']).
% 177.76/177.66 % SZS output end Proof
% 177.76/177.66 % Total time :176.920000s
%------------------------------------------------------------------------------