TSTP Solution File: LAT313+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT313+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 : n012.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 05:58:20 EDT 2023
% Result : Theorem 2.72s 2.98s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT313+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 : n012.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 04:26:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 2.72/2.96 %-------------------------------------------
% 2.72/2.96 % File :CSE---1.6
% 2.72/2.96 % Problem :theBenchmark
% 2.72/2.96 % Transform :cnf
% 2.72/2.96 % Format :tptp:raw
% 2.72/2.96 % Command :java -jar mcs_scs.jar %d %s
% 2.72/2.96
% 2.72/2.96 % Result :Theorem 2.330000s
% 2.72/2.96 % Output :CNFRefutation 2.330000s
% 2.72/2.96 %-------------------------------------------
% 2.72/2.96 %------------------------------------------------------------------------------
% 2.72/2.96 % File : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% 2.72/2.96 % Domain : Lattice Theory
% 2.72/2.96 % Problem : Ideals T43
% 2.72/2.96 % Version : [Urb08] axioms : Especial.
% 2.72/2.96 % English :
% 2.72/2.96
% 2.72/2.96 % Refs : [Ban96] Bancerek (1996), Ideals
% 2.72/2.96 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 2.72/2.96 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 2.72/2.96 % Source : [Urb08]
% 2.72/2.96 % Names : t43_filter_2 [Urb08]
% 2.72/2.96
% 2.72/2.96 % Status : Theorem
% 2.72/2.96 % Rating : 0.19 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.13 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.48 v4.0.1, 0.43 v4.0.0, 0.46 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0
% 2.72/2.96 % Syntax : Number of formulae : 50 ( 15 unt; 0 def)
% 2.72/2.96 % Number of atoms : 157 ( 6 equ)
% 2.72/2.96 % Maximal formula atoms : 10 ( 3 avg)
% 2.72/2.96 % Number of connectives : 144 ( 37 ~; 1 |; 65 &)
% 2.72/2.96 % ( 2 <=>; 39 =>; 0 <=; 0 <~>)
% 2.72/2.96 % Maximal formula depth : 10 ( 4 avg)
% 2.72/2.96 % Maximal term depth : 3 ( 1 avg)
% 2.72/2.96 % Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% 2.72/2.96 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 2.72/2.96 % Number of variables : 74 ( 60 !; 14 ?)
% 2.72/2.96 % SPC : FOF_THM_RFO_SEQ
% 2.72/2.96
% 2.72/2.96 % Comments : Normal version: includes the axioms (which may be theorems from
% 2.72/2.96 % other articles) and background that are possibly necessary.
% 2.72/2.96 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 2.72/2.96 % : The problem encoding is based on set theory.
% 2.72/2.96 %------------------------------------------------------------------------------
% 2.72/2.96 fof(t43_filter_2,conjecture,
% 2.72/2.96 ! [A] :
% 2.72/2.96 ( ( ~ v3_struct_0(A)
% 2.72/2.96 & v10_lattices(A)
% 2.72/2.96 & l3_lattices(A) )
% 2.72/2.96 => ! [B] :
% 2.72/2.96 ( m2_filter_2(B,A)
% 2.72/2.96 => ( ( v14_lattices(A)
% 2.72/2.96 & r2_hidden(k6_lattices(A),B) )
% 2.72/2.96 => ( r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))
% 2.72/2.96 & B = u1_struct_0(A) ) ) ) ) ).
% 2.72/2.96
% 2.72/2.96 fof(antisymmetry_r2_hidden,axiom,
% 2.72/2.96 ! [A,B] :
% 2.72/2.96 ( r2_hidden(A,B)
% 2.72/2.96 => ~ r2_hidden(B,A) ) ).
% 2.72/2.96
% 2.72/2.96 fof(cc1_funct_1,axiom,
% 2.72/2.96 ! [A] :
% 2.72/2.96 ( v1_xboole_0(A)
% 2.72/2.96 => v1_funct_1(A) ) ).
% 2.72/2.96
% 2.72/2.96 fof(cc1_lattices,axiom,
% 2.72/2.96 ! [A] :
% 2.72/2.96 ( l3_lattices(A)
% 2.72/2.96 => ( ( ~ v3_struct_0(A)
% 2.72/2.96 & v10_lattices(A) )
% 2.72/2.96 => ( ~ v3_struct_0(A)
% 2.72/2.96 & v4_lattices(A)
% 2.72/2.97 & v5_lattices(A)
% 2.72/2.97 & v6_lattices(A)
% 2.72/2.97 & v7_lattices(A)
% 2.72/2.97 & v8_lattices(A)
% 2.72/2.97 & v9_lattices(A) ) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(cc2_lattices,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( l3_lattices(A)
% 2.72/2.97 => ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v4_lattices(A)
% 2.72/2.97 & v5_lattices(A)
% 2.72/2.97 & v6_lattices(A)
% 2.72/2.97 & v7_lattices(A)
% 2.72/2.97 & v8_lattices(A)
% 2.72/2.97 & v9_lattices(A) )
% 2.72/2.97 => ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A) ) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(d8_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => k17_filter_2(A) = u1_struct_0(A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_k17_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => m2_filter_2(k17_filter_2(A),A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_k19_filter_2,axiom,
% 2.72/2.97 ! [A,B] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A)
% 2.72/2.97 & ~ v1_xboole_0(B)
% 2.72/2.97 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 2.72/2.97 => m2_filter_2(k19_filter_2(A,B),A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_k1_xboole_0,axiom,
% 2.72/2.97 $true ).
% 2.72/2.97
% 2.72/2.97 fof(dt_k1_zfmisc_1,axiom,
% 2.72/2.97 $true ).
% 2.72/2.97
% 2.72/2.97 fof(dt_k6_lattices,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & l2_lattices(A) )
% 2.72/2.97 => m1_subset_1(k6_lattices(A),u1_struct_0(A)) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_l1_lattices,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( l1_lattices(A)
% 2.72/2.97 => l1_struct_0(A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_l1_struct_0,axiom,
% 2.72/2.97 $true ).
% 2.72/2.97
% 2.72/2.97 fof(dt_l2_lattices,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( l2_lattices(A)
% 2.72/2.97 => l1_struct_0(A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_l3_lattices,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( l3_lattices(A)
% 2.72/2.97 => ( l1_lattices(A)
% 2.72/2.97 & l2_lattices(A) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_m1_subset_1,axiom,
% 2.72/2.97 $true ).
% 2.72/2.97
% 2.72/2.97 fof(dt_m2_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ! [B] :
% 2.72/2.97 ( m2_filter_2(B,A)
% 2.72/2.97 => ( ~ v1_xboole_0(B)
% 2.72/2.97 & m2_lattice4(B,A) ) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_m2_lattice4,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ! [B] :
% 2.72/2.97 ( m2_lattice4(B,A)
% 2.72/2.97 => m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(dt_u1_struct_0,axiom,
% 2.72/2.97 $true ).
% 2.72/2.97
% 2.72/2.97 fof(existence_l1_lattices,axiom,
% 2.72/2.97 ? [A] : l1_lattices(A) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_l1_struct_0,axiom,
% 2.72/2.97 ? [A] : l1_struct_0(A) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_l2_lattices,axiom,
% 2.72/2.97 ? [A] : l2_lattices(A) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_l3_lattices,axiom,
% 2.72/2.97 ? [A] : l3_lattices(A) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_m1_subset_1,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ? [B] : m1_subset_1(B,A) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_m2_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ? [B] : m2_filter_2(B,A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(existence_m2_lattice4,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ? [B] : m2_lattice4(B,A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(fc1_struct_0,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & l1_struct_0(A) )
% 2.72/2.97 => ~ v1_xboole_0(u1_struct_0(A)) ) ).
% 2.72/2.97
% 2.72/2.97 fof(fc1_subset_1,axiom,
% 2.72/2.97 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 2.72/2.97
% 2.72/2.97 fof(fc1_xboole_0,axiom,
% 2.72/2.97 v1_xboole_0(k1_xboole_0) ).
% 2.72/2.97
% 2.72/2.97 fof(rc1_lattice4,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ? [B] :
% 2.72/2.97 ( m2_lattice4(B,A)
% 2.72/2.97 & ~ v1_xboole_0(B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(rc1_subset_1,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ~ v1_xboole_0(A)
% 2.72/2.97 => ? [B] :
% 2.72/2.97 ( m1_subset_1(B,k1_zfmisc_1(A))
% 2.72/2.97 & ~ v1_xboole_0(B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(rc1_xboole_0,axiom,
% 2.72/2.97 ? [A] : v1_xboole_0(A) ).
% 2.72/2.97
% 2.72/2.97 fof(rc2_subset_1,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ? [B] :
% 2.72/2.97 ( m1_subset_1(B,k1_zfmisc_1(A))
% 2.72/2.97 & v1_xboole_0(B) ) ).
% 2.72/2.97
% 2.72/2.97 fof(rc2_xboole_0,axiom,
% 2.72/2.97 ? [A] : ~ v1_xboole_0(A) ).
% 2.72/2.97
% 2.72/2.97 fof(rc3_struct_0,axiom,
% 2.72/2.97 ? [A] :
% 2.72/2.97 ( l1_struct_0(A)
% 2.72/2.97 & ~ v3_struct_0(A) ) ).
% 2.72/2.97
% 2.72/2.97 fof(rc5_struct_0,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & l1_struct_0(A) )
% 2.72/2.97 => ? [B] :
% 2.72/2.97 ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
% 2.72/2.97 & ~ v1_xboole_0(B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(redefinition_r1_filter_2,axiom,
% 2.72/2.97 ! [A,B,C] :
% 2.72/2.97 ( ( ~ v1_xboole_0(A)
% 2.72/2.97 & m1_subset_1(B,k1_zfmisc_1(A))
% 2.72/2.97 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 2.72/2.97 => ( r1_filter_2(A,B,C)
% 2.72/2.97 <=> B = C ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(reflexivity_r1_filter_2,axiom,
% 2.72/2.97 ! [A,B,C] :
% 2.72/2.97 ( ( ~ v1_xboole_0(A)
% 2.72/2.97 & m1_subset_1(B,k1_zfmisc_1(A))
% 2.72/2.97 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 2.72/2.97 => r1_filter_2(A,B,B) ) ).
% 2.72/2.97
% 2.72/2.97 fof(reflexivity_r1_tarski,axiom,
% 2.72/2.97 ! [A,B] : r1_tarski(A,A) ).
% 2.72/2.97
% 2.72/2.97 fof(symmetry_r1_filter_2,axiom,
% 2.72/2.97 ! [A,B,C] :
% 2.72/2.97 ( ( ~ v1_xboole_0(A)
% 2.72/2.97 & m1_subset_1(B,k1_zfmisc_1(A))
% 2.72/2.97 & m1_subset_1(C,k1_zfmisc_1(A)) )
% 2.72/2.97 => ( r1_filter_2(A,B,C)
% 2.72/2.97 => r1_filter_2(A,C,B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t1_subset,axiom,
% 2.72/2.97 ! [A,B] :
% 2.72/2.97 ( r2_hidden(A,B)
% 2.72/2.97 => m1_subset_1(A,B) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t2_subset,axiom,
% 2.72/2.97 ! [A,B] :
% 2.72/2.97 ( m1_subset_1(A,B)
% 2.72/2.97 => ( v1_xboole_0(B)
% 2.72/2.97 | r2_hidden(A,B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t38_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ! [B] :
% 2.72/2.97 ( m2_filter_2(B,A)
% 2.72/2.97 => r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t3_subset,axiom,
% 2.72/2.97 ! [A,B] :
% 2.72/2.97 ( m1_subset_1(A,k1_zfmisc_1(B))
% 2.72/2.97 <=> r1_tarski(A,B) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t42_filter_2,axiom,
% 2.72/2.97 ! [A] :
% 2.72/2.97 ( ( ~ v3_struct_0(A)
% 2.72/2.97 & v10_lattices(A)
% 2.72/2.97 & l3_lattices(A) )
% 2.72/2.97 => ! [B] :
% 2.72/2.97 ( ( ~ v1_xboole_0(B)
% 2.72/2.97 & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
% 2.72/2.97 => ( ( v14_lattices(A)
% 2.72/2.97 & r2_hidden(k6_lattices(A),B) )
% 2.72/2.97 => ( r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))
% 2.72/2.97 & k19_filter_2(A,B) = u1_struct_0(A) ) ) ) ) ).
% 2.72/2.97
% 2.72/2.97 fof(t4_subset,axiom,
% 2.72/2.98 ! [A,B,C] :
% 2.72/2.98 ( ( r2_hidden(A,B)
% 2.72/2.98 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 2.72/2.98 => m1_subset_1(A,C) ) ).
% 2.72/2.98
% 2.72/2.98 fof(t5_subset,axiom,
% 2.72/2.98 ! [A,B,C] :
% 2.72/2.98 ~ ( r2_hidden(A,B)
% 2.72/2.98 & m1_subset_1(B,k1_zfmisc_1(C))
% 2.72/2.98 & v1_xboole_0(C) ) ).
% 2.72/2.98
% 2.72/2.98 fof(t6_boole,axiom,
% 2.72/2.98 ! [A] :
% 2.72/2.98 ( v1_xboole_0(A)
% 2.72/2.98 => A = k1_xboole_0 ) ).
% 2.72/2.98
% 2.72/2.98 fof(t7_boole,axiom,
% 2.72/2.98 ! [A,B] :
% 2.72/2.98 ~ ( r2_hidden(A,B)
% 2.72/2.98 & v1_xboole_0(B) ) ).
% 2.72/2.98
% 2.72/2.98 fof(t8_boole,axiom,
% 2.72/2.98 ! [A,B] :
% 2.72/2.98 ~ ( v1_xboole_0(A)
% 2.72/2.98 & A != B
% 2.72/2.98 & v1_xboole_0(B) ) ).
% 2.72/2.98
% 2.72/2.98 %------------------------------------------------------------------------------
% 2.72/2.98 %-------------------------------------------
% 2.72/2.98 % Proof found
% 2.72/2.98 % SZS status Theorem for theBenchmark
% 2.72/2.98 % SZS output start Proof
% 2.72/2.98 %ClaNum:110(EqnAxiom:44)
% 2.72/2.98 %VarNum:242(SingletonVarNum:76)
% 2.72/2.98 %MaxLitNum:9
% 2.72/2.98 %MaxfuncDepth:2
% 2.72/2.98 %SharedTerms:30
% 2.72/2.98 %goalClause: 45 46 48 56 58 61 102
% 2.72/2.98 %singleGoalClaCount:6
% 2.72/2.98 [45]P1(a1)
% 2.72/2.98 [46]P2(a1)
% 2.72/2.98 [47]P2(a9)
% 2.72/2.98 [48]P12(a1)
% 2.72/2.98 [49]P13(a14)
% 2.72/2.98 [50]P13(a2)
% 2.72/2.98 [51]P3(a10)
% 2.72/2.98 [52]P4(a11)
% 2.72/2.98 [53]P5(a13)
% 2.72/2.98 [54]P5(a5)
% 2.72/2.98 [56]P6(a12,a1)
% 2.72/2.98 [61]~P15(a1)
% 2.72/2.98 [62]~P15(a5)
% 2.72/2.98 [63]~P13(a7)
% 2.72/2.98 [58]P11(f20(a1),a12)
% 2.72/2.98 [57]P8(x571,x571)
% 2.72/2.98 [55]P13(f6(x551))
% 2.72/2.98 [59]P7(f15(x591),x591)
% 2.72/2.98 [60]P7(f6(x601),f21(x601))
% 2.72/2.98 [64]~P13(f21(x641))
% 2.72/2.98 [102]~P10(f22(a1),a12,f16(a1))+~E(f22(a1),a12)
% 2.72/2.98 [65]~P13(x651)+E(x651,a14)
% 2.72/2.98 [66]~P13(x661)+P14(x661)
% 2.72/2.98 [67]~P2(x671)+P3(x671)
% 2.72/2.98 [68]~P2(x681)+P4(x681)
% 2.72/2.98 [69]~P3(x691)+P5(x691)
% 2.72/2.98 [70]~P4(x701)+P5(x701)
% 2.72/2.98 [72]P13(x721)+~P13(f3(x721))
% 2.72/2.98 [83]P13(x831)+P7(f3(x831),f21(x831))
% 2.72/2.98 [82]~P13(x821)+~P11(x822,x821)
% 2.72/2.98 [85]~P11(x851,x852)+P7(x851,x852)
% 2.72/2.98 [93]~P11(x932,x931)+~P11(x931,x932)
% 2.72/2.98 [92]~P8(x921,x922)+P7(x921,f21(x922))
% 2.72/2.98 [94]P8(x941,x942)+~P7(x941,f21(x942))
% 2.72/2.98 [80]~P5(x801)+P15(x801)+~P13(f22(x801))
% 2.72/2.98 [81]~P5(x811)+P15(x811)+~P13(f8(x811))
% 2.72/2.98 [86]~P3(x861)+P15(x861)+P7(f20(x861),f22(x861))
% 2.72/2.98 [96]~P5(x961)+P15(x961)+P7(f8(x961),f21(f22(x961)))
% 2.72/2.98 [71]~P13(x712)+~P13(x711)+E(x711,x712)
% 2.72/2.98 [91]~P7(x912,x911)+P13(x911)+P11(x912,x911)
% 2.72/2.98 [99]~P13(x991)+~P11(x992,x993)+~P7(x993,f21(x991))
% 2.72/2.98 [100]P7(x1001,x1002)+~P11(x1001,x1003)+~P7(x1003,f21(x1002))
% 2.72/2.98 [73]P16(x731)+~P1(x731)+~P2(x731)+P15(x731)
% 2.72/2.98 [74]P17(x741)+~P1(x741)+~P2(x741)+P15(x741)
% 2.72/2.98 [75]P18(x751)+~P1(x751)+~P2(x751)+P15(x751)
% 2.72/2.98 [76]P19(x761)+~P1(x761)+~P2(x761)+P15(x761)
% 2.72/2.98 [77]P20(x771)+~P1(x771)+~P2(x771)+P15(x771)
% 2.72/2.98 [78]P21(x781)+~P1(x781)+~P2(x781)+P15(x781)
% 2.72/2.98 [79]P15(x791)+~P1(x791)+~P2(x791)+E(f16(x791),f22(x791))
% 2.72/2.98 [84]~P1(x841)+~P2(x841)+P15(x841)+~P13(f4(x841))
% 2.72/2.98 [87]~P1(x871)+~P2(x871)+P15(x871)+P6(f16(x871),x871)
% 2.72/2.98 [88]~P1(x881)+~P2(x881)+P15(x881)+P6(f17(x881),x881)
% 2.72/2.98 [89]~P1(x891)+~P2(x891)+P15(x891)+P9(f18(x891),x891)
% 2.72/2.98 [90]~P1(x901)+~P2(x901)+P15(x901)+P9(f4(x901),x901)
% 2.72/2.98 [104]P10(x1041,x1042,x1042)+P13(x1041)+~P7(x1042,f21(x1041))+~P7(x1043,f21(x1041))
% 2.72/2.98 [95]~P1(x951)+~P2(x951)+~P6(x952,x951)+P15(x951)+~P13(x952)
% 2.72/2.98 [97]~P1(x971)+~P2(x971)+~P6(x972,x971)+P15(x971)+P9(x972,x971)
% 2.72/2.98 [106]~P1(x1061)+~P2(x1061)+~P6(x1062,x1061)+P15(x1061)+P10(f22(x1061),f19(x1061,x1062),x1062)
% 2.72/2.98 [101]~P1(x1011)+~P2(x1011)+~P9(x1012,x1011)+P15(x1011)+P7(x1012,f21(f22(x1011)))
% 2.72/2.98 [105]~E(x1052,x1053)+P13(x1051)+P10(x1051,x1052,x1053)+~P7(x1053,f21(x1051))+~P7(x1052,f21(x1051))
% 2.72/2.98 [108]~P10(x1083,x1081,x1082)+E(x1081,x1082)+P13(x1083)+~P7(x1082,f21(x1083))+~P7(x1081,f21(x1083))
% 2.72/2.98 [110]~P10(x1101,x1103,x1102)+P13(x1101)+P10(x1101,x1102,x1103)+~P7(x1102,f21(x1101))+~P7(x1103,f21(x1101))
% 2.72/2.98 [103]~P1(x1031)+~P2(x1031)+P15(x1031)+P13(x1032)+P6(f19(x1031,x1032),x1031)+~P7(x1032,f21(f22(x1031)))
% 2.72/2.98 [107]P15(x1071)+P13(x1072)+~P1(x1071)+~P2(x1071)+~P12(x1071)+~P11(f20(x1071),x1072)+E(f19(x1071,x1072),f22(x1071))+~P7(x1072,f21(f22(x1071)))
% 2.72/2.98 [109]~P1(x1091)+~P2(x1091)+~P12(x1091)+P15(x1091)+P13(x1092)+P10(f22(x1091),f19(x1091,x1092),f16(x1091))+~P11(f20(x1091),x1092)+~P7(x1092,f21(f22(x1091)))
% 2.72/2.98 [98]P1(x981)+~P2(x981)+~P16(x981)+~P17(x981)+~P18(x981)+~P19(x981)+~P20(x981)+~P21(x981)+P15(x981)
% 2.72/2.98 %EqnAxiom
% 2.72/2.98 [1]E(x11,x11)
% 2.72/2.98 [2]E(x22,x21)+~E(x21,x22)
% 2.72/2.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.72/2.98 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 2.72/2.98 [5]~E(x51,x52)+E(f20(x51),f20(x52))
% 2.72/2.98 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 2.72/2.98 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 2.72/2.98 [8]~E(x81,x82)+E(f22(x81),f22(x82))
% 2.72/2.98 [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 2.72/2.98 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 2.72/2.98 [11]~E(x111,x112)+E(f8(x111),f8(x112))
% 2.72/2.98 [12]~E(x121,x122)+E(f19(x121,x123),f19(x122,x123))
% 2.72/2.98 [13]~E(x131,x132)+E(f19(x133,x131),f19(x133,x132))
% 2.72/2.98 [14]~E(x141,x142)+E(f4(x141),f4(x142))
% 2.72/2.98 [15]~E(x151,x152)+E(f18(x151),f18(x152))
% 2.72/2.98 [16]~E(x161,x162)+E(f17(x161),f17(x162))
% 2.72/2.98 [17]~P1(x171)+P1(x172)+~E(x171,x172)
% 2.72/2.98 [18]~P2(x181)+P2(x182)+~E(x181,x182)
% 2.72/2.98 [19]~P12(x191)+P12(x192)+~E(x191,x192)
% 2.72/2.98 [20]P10(x202,x203,x204)+~E(x201,x202)+~P10(x201,x203,x204)
% 2.72/2.98 [21]P10(x213,x212,x214)+~E(x211,x212)+~P10(x213,x211,x214)
% 2.72/2.98 [22]P10(x223,x224,x222)+~E(x221,x222)+~P10(x223,x224,x221)
% 2.72/2.98 [23]~P13(x231)+P13(x232)+~E(x231,x232)
% 2.72/2.98 [24]P7(x242,x243)+~E(x241,x242)+~P7(x241,x243)
% 2.72/2.98 [25]P7(x253,x252)+~E(x251,x252)+~P7(x253,x251)
% 2.72/2.98 [26]~P3(x261)+P3(x262)+~E(x261,x262)
% 2.72/2.98 [27]~P4(x271)+P4(x272)+~E(x271,x272)
% 2.72/2.98 [28]~P5(x281)+P5(x282)+~E(x281,x282)
% 2.72/2.98 [29]P11(x292,x293)+~E(x291,x292)+~P11(x291,x293)
% 2.72/2.98 [30]P11(x303,x302)+~E(x301,x302)+~P11(x303,x301)
% 2.72/2.98 [31]~P15(x311)+P15(x312)+~E(x311,x312)
% 2.72/2.98 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 2.72/2.98 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 2.72/2.98 [34]P8(x342,x343)+~E(x341,x342)+~P8(x341,x343)
% 2.72/2.98 [35]P8(x353,x352)+~E(x351,x352)+~P8(x353,x351)
% 2.72/2.98 [36]P9(x362,x363)+~E(x361,x362)+~P9(x361,x363)
% 2.72/2.98 [37]P9(x373,x372)+~E(x371,x372)+~P9(x373,x371)
% 2.72/2.98 [38]~P16(x381)+P16(x382)+~E(x381,x382)
% 2.72/2.98 [39]~P21(x391)+P21(x392)+~E(x391,x392)
% 2.72/2.98 [40]~P18(x401)+P18(x402)+~E(x401,x402)
% 2.72/2.98 [41]~P20(x411)+P20(x412)+~E(x411,x412)
% 2.72/2.98 [42]~P19(x421)+P19(x422)+~E(x421,x422)
% 2.72/2.98 [43]~P17(x431)+P17(x432)+~E(x431,x432)
% 2.72/2.98 [44]~P14(x441)+P14(x442)+~E(x441,x442)
% 2.72/2.98
% 2.72/2.98 %-------------------------------------------
% 2.72/2.98 cnf(111,plain,
% 2.72/2.98 (~P11(a12,f20(a1))),
% 2.72/2.98 inference(scs_inference,[],[58,93])).
% 2.72/2.98 cnf(112,plain,
% 2.72/2.98 (~P11(x1121,a14)),
% 2.72/2.98 inference(scs_inference,[],[49,58,93,82])).
% 2.72/2.98 cnf(113,plain,
% 2.72/2.98 (P8(f15(f21(x1131)),x1131)),
% 2.72/2.98 inference(scs_inference,[],[49,58,59,93,82,94])).
% 2.72/2.98 cnf(114,plain,
% 2.72/2.98 (P7(f15(x1141),x1141)),
% 2.72/2.98 inference(rename_variables,[],[59])).
% 2.72/2.98 cnf(117,plain,
% 2.72/2.98 (P11(f15(a7),a7)),
% 2.72/2.98 inference(scs_inference,[],[49,63,58,59,114,93,82,94,30,91])).
% 2.72/2.98 cnf(118,plain,
% 2.72/2.98 (P7(f15(x1181),x1181)),
% 2.72/2.98 inference(rename_variables,[],[59])).
% 2.72/2.98 cnf(120,plain,
% 2.72/2.98 (~P13(a12)),
% 2.72/2.98 inference(scs_inference,[],[49,63,58,59,114,93,82,94,30,91,71])).
% 2.72/2.98 cnf(122,plain,
% 2.72/2.98 (~P11(x1221,f15(f21(a14)))),
% 2.72/2.98 inference(scs_inference,[],[49,63,58,59,114,118,93,82,94,30,91,71,99])).
% 2.72/2.98 cnf(123,plain,
% 2.72/2.98 (P7(f15(x1231),x1231)),
% 2.72/2.98 inference(rename_variables,[],[59])).
% 2.72/2.98 cnf(125,plain,
% 2.72/2.98 (P21(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78])).
% 2.72/2.98 cnf(127,plain,
% 2.72/2.98 (P20(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78,77])).
% 2.72/2.98 cnf(129,plain,
% 2.72/2.98 (P19(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78,77,76])).
% 2.72/2.98 cnf(131,plain,
% 2.72/2.98 (P18(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78,77,76,75])).
% 2.72/2.98 cnf(133,plain,
% 2.72/2.98 (P17(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78,77,76,75,74])).
% 2.72/2.98 cnf(135,plain,
% 2.72/2.98 (P16(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,61,49,63,58,59,114,118,93,82,94,30,91,71,99,78,77,76,75,74,73])).
% 2.72/2.98 cnf(141,plain,
% 2.72/2.98 (P9(a12,a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97])).
% 2.72/2.98 cnf(143,plain,
% 2.72/2.98 (~P6(a14,a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95])).
% 2.72/2.98 cnf(148,plain,
% 2.72/2.98 (P5(a11)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70])).
% 2.72/2.98 cnf(150,plain,
% 2.72/2.98 (P5(a10)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69])).
% 2.72/2.98 cnf(152,plain,
% 2.72/2.98 (P4(a1)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68])).
% 2.72/2.98 cnf(158,plain,
% 2.72/2.98 (E(a2,a14)),
% 2.72/2.98 inference(scs_inference,[],[45,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65])).
% 2.72/2.98 cnf(160,plain,
% 2.72/2.98 (P7(x1601,f21(x1601))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92])).
% 2.72/2.98 cnf(162,plain,
% 2.72/2.98 (~P13(f3(a7))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72])).
% 2.72/2.98 cnf(164,plain,
% 2.72/2.98 (E(f17(a2),f17(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16])).
% 2.72/2.98 cnf(165,plain,
% 2.72/2.98 (E(f18(a2),f18(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15])).
% 2.72/2.98 cnf(166,plain,
% 2.72/2.98 (E(f4(a2),f4(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14])).
% 2.72/2.98 cnf(167,plain,
% 2.72/2.98 (E(f19(x1671,a2),f19(x1671,a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13])).
% 2.72/2.98 cnf(168,plain,
% 2.72/2.98 (E(f19(a2,x1681),f19(a14,x1681))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12])).
% 2.72/2.98 cnf(169,plain,
% 2.72/2.98 (E(f8(a2),f8(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11])).
% 2.72/2.98 cnf(171,plain,
% 2.72/2.98 (E(f16(a2),f16(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9])).
% 2.72/2.98 cnf(172,plain,
% 2.72/2.98 (E(f22(a2),f22(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8])).
% 2.72/2.98 cnf(173,plain,
% 2.72/2.98 (E(f21(a2),f21(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7])).
% 2.72/2.98 cnf(174,plain,
% 2.72/2.98 (E(f15(a2),f15(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6])).
% 2.72/2.98 cnf(175,plain,
% 2.72/2.98 (E(f20(a2),f20(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5])).
% 2.72/2.98 cnf(176,plain,
% 2.72/2.98 (E(f6(a2),f6(a14))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 2.72/2.98 cnf(177,plain,
% 2.72/2.98 (P7(f3(a7),f21(a7))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83])).
% 2.72/2.98 cnf(180,plain,
% 2.72/2.98 (~P6(a2,a1)),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32])).
% 2.72/2.98 cnf(182,plain,
% 2.72/2.98 (~E(a12,a2)),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3])).
% 2.72/2.98 cnf(183,plain,
% 2.72/2.98 (~P13(f8(a5))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81])).
% 2.72/2.98 cnf(185,plain,
% 2.72/2.98 (~P13(f22(a5))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80])).
% 2.72/2.98 cnf(187,plain,
% 2.72/2.98 (P7(f8(a5),f21(f22(a5)))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96])).
% 2.72/2.98 cnf(189,plain,
% 2.72/2.98 (P7(f20(a1),f22(a1))),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86])).
% 2.72/2.98 cnf(191,plain,
% 2.72/2.98 (P9(f4(a1),a1)),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90])).
% 2.72/2.98 cnf(193,plain,
% 2.72/2.98 (P9(f18(a1),a1)),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89])).
% 2.72/2.98 cnf(195,plain,
% 2.72/2.98 (P6(f17(a1),a1)),
% 2.72/2.98 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88])).
% 2.72/2.99 cnf(197,plain,
% 2.72/2.99 (P6(f16(a1),a1)),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87])).
% 2.72/2.99 cnf(199,plain,
% 2.72/2.99 (~P13(f4(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84])).
% 2.72/2.99 cnf(201,plain,
% 2.72/2.99 (E(f16(a1),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84,79])).
% 2.72/2.99 cnf(203,plain,
% 2.72/2.99 (P7(a12,f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84,79,101])).
% 2.72/2.99 cnf(205,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,a12),a12)),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84,79,101,106])).
% 2.72/2.99 cnf(207,plain,
% 2.72/2.99 (E(f19(a1,a12),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,48,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84,79,101,106,107])).
% 2.72/2.99 cnf(209,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,a12),f16(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,57,46,48,56,61,49,50,51,52,54,62,63,58,59,114,118,123,93,82,94,30,91,71,99,78,77,76,75,74,73,104,97,95,2,85,70,69,68,67,66,65,92,72,16,15,14,13,12,11,10,9,8,7,6,5,4,83,44,32,23,3,81,80,96,86,90,89,88,87,84,79,101,106,107,109])).
% 2.72/2.99 cnf(233,plain,
% 2.72/2.99 (P13(f15(f21(a14)))),
% 2.72/2.99 inference(scs_inference,[],[59,122,91])).
% 2.72/2.99 cnf(234,plain,
% 2.72/2.99 (~P11(x2341,f15(f21(a14)))),
% 2.72/2.99 inference(rename_variables,[],[122])).
% 2.72/2.99 cnf(237,plain,
% 2.72/2.99 (~P6(f6(x2371),a1)),
% 2.72/2.99 inference(scs_inference,[],[45,55,59,46,61,122,91,95])).
% 2.72/2.99 cnf(239,plain,
% 2.72/2.99 (~P7(a12,f21(f6(x2391)))),
% 2.72/2.99 inference(scs_inference,[],[45,55,59,58,46,61,122,91,95,99])).
% 2.72/2.99 cnf(241,plain,
% 2.72/2.99 (E(f19(x2411,a14),f19(x2411,a2))),
% 2.72/2.99 inference(scs_inference,[],[45,55,59,58,46,61,122,167,91,95,99,2])).
% 2.72/2.99 cnf(246,plain,
% 2.72/2.99 (P8(f19(x2461,a2),f19(x2461,a14))),
% 2.72/2.99 inference(scs_inference,[],[45,55,59,57,58,46,61,122,167,117,91,95,99,2,93,85,35])).
% 2.72/2.99 cnf(247,plain,
% 2.72/2.99 (~E(a12,f15(f21(a14)))),
% 2.72/2.99 inference(scs_inference,[],[45,55,59,57,58,46,61,122,234,167,117,91,95,99,2,93,85,35,30])).
% 2.72/2.99 cnf(248,plain,
% 2.72/2.99 (~E(f6(f6(x2481)),a12)),
% 2.72/2.99 inference(scs_inference,[],[45,55,60,59,57,58,46,61,122,234,167,117,91,95,99,2,93,85,35,30,24])).
% 2.72/2.99 cnf(249,plain,
% 2.72/2.99 (P7(f6(x2491),f21(x2491))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(251,plain,
% 2.72/2.99 (P10(f21(x2511),f6(f21(x2511)),f6(f21(x2511)))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,59,57,58,63,46,61,122,234,167,117,91,95,99,2,93,85,35,30,24,23,104])).
% 2.72/2.99 cnf(252,plain,
% 2.72/2.99 (P7(f6(x2521),f21(x2521))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(254,plain,
% 2.72/2.99 (P7(f4(a1),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,59,57,58,63,46,61,122,234,167,117,191,91,95,99,2,93,85,35,30,24,23,104,101])).
% 2.72/2.99 cnf(256,plain,
% 2.72/2.99 (P8(f19(x2561,a14),f19(x2561,a2))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,59,57,58,63,46,61,122,234,167,117,191,91,95,99,2,93,85,35,30,24,23,104,101,34])).
% 2.72/2.99 cnf(257,plain,
% 2.72/2.99 (P6(f22(a1),a1)),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,59,57,58,63,46,61,122,234,167,201,117,191,197,91,95,99,2,93,85,35,30,24,23,104,101,34,32])).
% 2.72/2.99 cnf(259,plain,
% 2.72/2.99 (P7(f6(x2591),f21(x2591))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(260,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,a12),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,252,59,57,58,63,46,61,122,234,167,209,173,201,117,191,197,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22])).
% 2.72/2.99 cnf(261,plain,
% 2.72/2.99 (E(f19(a2,a2),f19(a14,a14))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,252,59,57,58,63,46,61,122,234,167,168,209,173,201,117,191,197,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3])).
% 2.72/2.99 cnf(264,plain,
% 2.72/2.99 (P10(f22(a1),f22(a1),f16(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,252,59,57,58,63,46,61,122,234,167,168,207,209,173,201,117,191,197,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3,21])).
% 2.72/2.99 cnf(265,plain,
% 2.72/2.99 (P10(f21(a14),f6(f21(a2)),f6(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,252,59,57,58,63,46,61,122,234,167,168,207,209,173,201,117,191,197,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3,21,20])).
% 2.72/2.99 cnf(267,plain,
% 2.72/2.99 (~P8(a12,f6(x2671))),
% 2.72/2.99 inference(scs_inference,[],[45,55,64,60,249,252,59,57,58,63,46,61,122,234,167,168,207,209,173,201,117,191,197,133,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3,21,20,43,92])).
% 2.72/2.99 cnf(270,plain,
% 2.72/2.99 (P7(x2701,f21(x2701))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(271,plain,
% 2.72/2.99 (P7(f6(x2711),f21(x2711))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(272,plain,
% 2.72/2.99 (~P13(f21(x2721))),
% 2.72/2.99 inference(rename_variables,[],[64])).
% 2.72/2.99 cnf(284,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,f17(a1)),f17(a1))),
% 2.72/2.99 inference(scs_inference,[],[45,53,55,64,272,60,249,252,259,51,59,57,58,63,46,61,160,122,234,167,168,187,207,209,173,201,117,191,195,197,133,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3,21,20,43,92,105,103,100,81,80,86,106])).
% 2.72/2.99 cnf(289,plain,
% 2.72/2.99 (P7(x2891,f21(x2891))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(290,plain,
% 2.72/2.99 (P7(f6(x2901),f21(x2901))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(291,plain,
% 2.72/2.99 (~P13(f21(x2911))),
% 2.72/2.99 inference(rename_variables,[],[64])).
% 2.72/2.99 cnf(293,plain,
% 2.72/2.99 (P10(f21(a2),f6(f21(a2)),f21(a2))+~E(f21(a2),f6(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[45,53,55,64,272,291,60,249,252,259,271,290,51,59,57,48,58,63,46,61,160,270,289,122,234,167,168,187,207,209,173,201,117,191,195,197,133,91,95,99,2,93,85,35,30,24,23,104,101,34,32,25,22,3,21,20,43,92,105,103,100,81,80,86,106,109,108,110])).
% 2.72/2.99 cnf(302,plain,
% 2.72/2.99 (P6(f19(a1,f4(a1)),a1)),
% 2.72/2.99 inference(scs_inference,[],[46,61,254,199,257,45,97,103])).
% 2.72/2.99 cnf(304,plain,
% 2.72/2.99 (~P13(f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[46,58,61,254,199,203,257,45,97,103,99])).
% 2.72/2.99 cnf(306,plain,
% 2.72/2.99 (P11(f6(x3061),f21(x3061))),
% 2.72/2.99 inference(scs_inference,[],[46,60,64,58,61,254,199,203,257,45,97,103,99,91])).
% 2.72/2.99 cnf(307,plain,
% 2.72/2.99 (P7(f6(x3071),f21(x3071))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(309,plain,
% 2.72/2.99 (P10(a7,f6(a7),f6(a7))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,64,58,63,61,254,199,203,257,45,97,103,99,91,104])).
% 2.72/2.99 cnf(311,plain,
% 2.72/2.99 (P7(f6(x3111),f21(x3111))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(313,plain,
% 2.72/2.99 (~P6(f15(f21(a14)),a1)),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,64,58,63,61,233,254,199,203,257,45,97,103,99,91,104,95])).
% 2.72/2.99 cnf(317,plain,
% 2.72/2.99 (P7(f19(x3171,a2),f21(f19(x3171,a14)))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,64,58,63,61,233,246,254,199,203,257,45,97,103,99,91,104,95,93,92])).
% 2.72/2.99 cnf(325,plain,
% 2.72/2.99 (~P13(f19(a1,a12))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,64,57,58,63,61,193,233,246,254,199,239,248,267,203,257,176,207,45,97,103,99,91,104,95,93,92,101,2,34,30,25,23])).
% 2.72/2.99 cnf(326,plain,
% 2.72/2.99 (E(f19(a2,a14),f19(a14,a2))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,64,57,58,63,61,193,233,241,246,254,199,239,248,267,203,257,176,168,207,45,97,103,99,91,104,95,93,92,101,2,34,30,25,23,3])).
% 2.72/2.99 cnf(332,plain,
% 2.72/2.99 (~P10(a12,a12,f6(a12))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,311,64,56,57,58,63,61,193,233,241,246,254,199,237,239,248,267,203,257,120,176,129,160,168,207,173,45,97,103,99,91,104,95,93,92,101,2,34,30,25,23,3,32,42,29,108])).
% 2.72/2.99 cnf(333,plain,
% 2.72/2.99 (P7(f6(x3331),f21(x3331))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(334,plain,
% 2.72/2.99 (P7(x3341,f21(x3341))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(336,plain,
% 2.72/2.99 (~E(f22(a1),f6(x3361))),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,311,64,56,57,58,63,61,193,233,241,246,254,199,237,239,248,267,203,257,120,176,129,160,168,207,173,45,97,103,99,91,104,95,93,92,101,2,34,30,25,23,3,32,42,29,108,7])).
% 2.72/2.99 cnf(337,plain,
% 2.72/2.99 (~P10(a12,f6(a12),a12)),
% 2.72/2.99 inference(scs_inference,[],[46,60,307,311,333,64,56,57,58,63,61,193,233,241,246,254,199,237,239,248,267,203,257,120,176,129,160,334,168,207,173,45,97,103,99,91,104,95,93,92,101,2,34,30,25,23,3,32,42,29,108,7,110])).
% 2.72/2.99 cnf(347,plain,
% 2.72/2.99 (P11(f6(a14),f21(a2))),
% 2.72/2.99 inference(scs_inference,[],[306,176,29])).
% 2.72/2.99 cnf(348,plain,
% 2.72/2.99 (P11(f6(x3481),f21(x3481))),
% 2.72/2.99 inference(rename_variables,[],[306])).
% 2.72/2.99 cnf(349,plain,
% 2.72/2.99 (~P11(x3491,f15(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[50,59,306,176,29,99])).
% 2.72/2.99 cnf(350,plain,
% 2.72/2.99 (P7(f15(x3501),x3501)),
% 2.72/2.99 inference(rename_variables,[],[59])).
% 2.72/2.99 cnf(354,plain,
% 2.72/2.99 (P13(f15(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[50,59,350,306,176,29,99,85,91])).
% 2.72/2.99 cnf(355,plain,
% 2.72/2.99 (P7(f15(x3551),x3551)),
% 2.72/2.99 inference(rename_variables,[],[59])).
% 2.72/2.99 cnf(357,plain,
% 2.72/2.99 (P6(f19(a1,a12),a1)),
% 2.72/2.99 inference(scs_inference,[],[46,50,59,350,61,306,176,203,120,45,29,99,85,91,103])).
% 2.72/2.99 cnf(359,plain,
% 2.72/2.99 (E(f21(f19(a2,a14)),f21(f19(a14,a2)))),
% 2.72/2.99 inference(scs_inference,[],[46,50,59,350,61,306,326,176,203,120,45,29,99,85,91,103,7])).
% 2.72/2.99 cnf(360,plain,
% 2.72/2.99 (P8(f19(a14,a2),f19(a2,a14))),
% 2.72/2.99 inference(scs_inference,[],[46,50,59,350,57,61,306,326,176,203,120,45,29,99,85,91,103,7,34])).
% 2.72/2.99 cnf(364,plain,
% 2.72/2.99 (E(f19(a14,a2),f19(a2,a14))),
% 2.72/2.99 inference(scs_inference,[],[46,50,59,350,355,57,61,306,326,176,203,120,45,29,99,85,91,103,7,34,25,2])).
% 2.72/2.99 cnf(369,plain,
% 2.72/2.99 (~P13(f19(a1,f4(a1)))),
% 2.72/2.99 inference(scs_inference,[],[46,50,59,350,355,64,57,61,306,348,326,302,127,112,176,203,120,45,29,99,85,91,103,7,34,25,2,30,23,41,95])).
% 2.72/2.99 cnf(383,plain,
% 2.72/2.99 (~P7(a12,f21(a2))),
% 2.72/2.99 inference(scs_inference,[],[50,58,99])).
% 2.72/2.99 cnf(385,plain,
% 2.72/2.99 (P11(f15(f19(a1,a12)),f19(a1,a12))),
% 2.72/2.99 inference(scs_inference,[],[50,59,58,325,99,91])).
% 2.72/2.99 cnf(388,plain,
% 2.72/2.99 (~P8(a12,a2)),
% 2.72/2.99 inference(scs_inference,[],[50,59,58,325,99,91,92])).
% 2.72/2.99 cnf(390,plain,
% 2.72/2.99 (~E(f19(a1,a12),a2)),
% 2.72/2.99 inference(scs_inference,[],[50,59,58,325,180,357,99,91,92,32])).
% 2.72/2.99 cnf(391,plain,
% 2.72/2.99 (P8(f19(a2,a14),f19(a14,a14))),
% 2.72/2.99 inference(scs_inference,[],[50,59,58,325,180,364,357,246,99,91,92,32,34])).
% 2.72/2.99 cnf(393,plain,
% 2.72/2.99 (P7(f6(f19(a2,a14)),f21(f19(a14,a2)))),
% 2.72/2.99 inference(scs_inference,[],[60,50,59,58,325,359,180,364,357,246,99,91,92,32,34,25])).
% 2.72/2.99 cnf(394,plain,
% 2.72/2.99 (P7(f6(x3941),f21(x3941))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(397,plain,
% 2.72/2.99 (E(f19(a14,a14),f19(a2,a14))),
% 2.72/2.99 inference(scs_inference,[],[60,50,59,58,63,325,359,180,182,364,357,241,246,99,91,92,32,34,25,2,23,3])).
% 2.72/2.99 cnf(401,plain,
% 2.72/2.99 (P3(a9)),
% 2.72/2.99 inference(scs_inference,[],[47,112,60,50,59,58,63,325,359,180,182,364,357,131,241,246,158,99,91,92,32,34,25,2,23,3,30,40,67])).
% 2.72/2.99 cnf(412,plain,
% 2.72/2.99 (E(f6(x4121),a14)),
% 2.72/2.99 inference(scs_inference,[],[47,112,60,394,50,59,55,58,63,325,359,180,182,364,357,131,241,246,158,99,91,92,32,34,25,2,23,3,30,40,67,94,100,85,93,65])).
% 2.72/2.99 cnf(414,plain,
% 2.72/2.99 (P5(a1)),
% 2.72/2.99 inference(scs_inference,[],[47,112,60,394,50,59,55,58,63,325,359,180,182,364,357,152,131,241,246,158,99,91,92,32,34,25,2,23,3,30,40,67,94,100,85,93,65,70])).
% 2.72/2.99 cnf(422,plain,
% 2.72/2.99 (~P13(f3(f21(x4221)))),
% 2.72/2.99 inference(scs_inference,[],[47,112,60,394,50,59,55,64,58,63,325,359,180,182,364,357,152,131,241,246,158,99,91,92,32,34,25,2,23,3,30,40,67,94,100,85,93,65,70,69,68,66,72])).
% 2.72/2.99 cnf(424,plain,
% 2.72/2.99 (P7(f3(f21(x4241)),f21(f21(x4241)))),
% 2.72/2.99 inference(scs_inference,[],[47,112,60,394,50,59,55,64,58,63,325,359,180,182,364,357,152,131,241,246,158,99,91,92,32,34,25,2,23,3,30,40,67,94,100,85,93,65,70,69,68,66,72,83])).
% 2.72/2.99 cnf(432,plain,
% 2.72/2.99 (E(f19(a1,a12),a12)+~P7(f19(a1,a12),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[47,112,53,60,394,50,59,55,64,58,63,205,325,141,359,180,182,317,364,304,357,152,131,241,246,158,203,99,91,92,32,34,25,2,23,3,30,40,67,94,100,85,93,65,70,69,68,66,72,83,42,96,36,105,108])).
% 2.72/2.99 cnf(440,plain,
% 2.72/2.99 (E(f18(f19(a14,a14)),f18(f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[397,15])).
% 2.72/2.99 cnf(441,plain,
% 2.72/2.99 (E(f19(x4411,f19(a14,a14)),f19(x4411,f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[397,15,13])).
% 2.72/2.99 cnf(442,plain,
% 2.72/2.99 (E(f8(f19(a14,a14)),f8(f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[397,15,13,11])).
% 2.72/2.99 cnf(444,plain,
% 2.72/2.99 (E(f15(f19(a14,a14)),f15(f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[397,15,13,11,8,6])).
% 2.72/2.99 cnf(445,plain,
% 2.72/2.99 (~P10(f22(a1),f22(a1),f6(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[60,397,336,304,160,15,13,11,8,6,108])).
% 2.72/2.99 cnf(448,plain,
% 2.72/2.99 (P7(x4481,f21(x4481))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(451,plain,
% 2.72/2.99 (~P10(f16(a1),f22(a1),f6(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[60,397,336,304,160,201,15,13,11,8,6,108,21,20])).
% 2.72/2.99 cnf(454,plain,
% 2.72/2.99 (P11(f15(f21(x4541)),f21(x4541))),
% 2.72/2.99 inference(scs_inference,[],[60,59,64,397,360,336,304,160,201,15,13,11,8,6,108,21,20,92,91])).
% 2.72/2.99 cnf(459,plain,
% 2.72/2.99 (E(f19(a14,a14),f19(a2,a2))),
% 2.72/2.99 inference(scs_inference,[],[60,59,64,397,360,336,261,383,304,160,448,201,15,13,11,8,6,108,21,20,92,91,25,2])).
% 2.72/2.99 cnf(460,plain,
% 2.72/2.99 (~P13(f16(a1))),
% 2.72/2.99 inference(scs_inference,[],[60,59,64,397,360,336,261,383,304,160,448,201,15,13,11,8,6,108,21,20,92,91,25,2,23])).
% 2.72/2.99 cnf(462,plain,
% 2.72/2.99 (~P11(x4621,f6(x4622))),
% 2.72/2.99 inference(scs_inference,[],[112,60,59,64,397,360,336,261,412,390,383,304,160,448,201,207,15,13,11,8,6,108,21,20,92,91,25,2,23,3,30])).
% 2.72/2.99 cnf(464,plain,
% 2.72/2.99 (~P13(f8(a1))),
% 2.72/2.99 inference(scs_inference,[],[112,60,59,64,61,397,360,336,261,412,390,383,414,125,304,160,448,201,207,15,13,11,8,6,108,21,20,92,91,25,2,23,3,30,39,81])).
% 2.72/2.99 cnf(468,plain,
% 2.72/2.99 (E(f19(f19(a14,a14),x4681),f19(f19(a2,a14),x4681))),
% 2.72/2.99 inference(scs_inference,[],[112,60,59,64,61,397,360,336,261,412,390,383,414,125,304,160,448,201,207,15,13,11,8,6,108,21,20,92,91,25,2,23,3,30,39,81,16,14,12])).
% 2.72/2.99 cnf(472,plain,
% 2.72/2.99 (E(f6(f19(a14,a14)),f6(f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[112,60,59,64,61,397,360,336,261,412,390,383,414,125,304,160,448,201,207,15,13,11,8,6,108,21,20,92,91,25,2,23,3,30,39,81,16,14,12,10,9,5,4])).
% 2.72/2.99 cnf(491,plain,
% 2.72/2.99 (E(f6(x4911),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(492,plain,
% 2.72/2.99 (P10(f21(x4921),a14,f6(f21(x4921)))),
% 2.72/2.99 inference(scs_inference,[],[251,424,383,412,491,100,22,21])).
% 2.72/2.99 cnf(494,plain,
% 2.72/2.99 (~P10(f19(a1,a12),f22(a1),f6(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[251,424,445,383,412,491,207,100,22,21,20])).
% 2.72/2.99 cnf(495,plain,
% 2.72/2.99 (~P7(a12,f3(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[251,424,422,445,383,412,491,207,100,22,21,20,91])).
% 2.72/2.99 cnf(499,plain,
% 2.72/2.99 (P8(f15(f21(x4991)),x4991)),
% 2.72/2.99 inference(rename_variables,[],[113])).
% 2.72/2.99 cnf(501,plain,
% 2.72/2.99 (P7(f15(x5011),x5011)),
% 2.72/2.99 inference(rename_variables,[],[59])).
% 2.72/2.99 cnf(503,plain,
% 2.72/2.99 (~E(f6(x5031),f21(x5032))),
% 2.72/2.99 inference(scs_inference,[],[113,55,59,64,251,424,422,247,459,445,388,383,412,491,207,100,22,21,20,91,34,25,2,23])).
% 2.72/2.99 cnf(504,plain,
% 2.72/2.99 (~E(f19(a1,a12),a14)),
% 2.72/2.99 inference(scs_inference,[],[113,112,55,59,64,251,424,422,247,459,445,385,388,383,412,491,207,100,22,21,20,91,34,25,2,23,30])).
% 2.72/2.99 cnf(506,plain,
% 2.72/2.99 (E(f19(f19(a14,a14),f19(a14,a14)),f19(f19(a2,a14),f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[113,112,55,59,64,251,424,422,441,468,247,459,445,385,388,383,412,491,207,100,22,21,20,91,34,25,2,23,30,3])).
% 2.72/2.99 cnf(507,plain,
% 2.72/2.99 (E(f19(x5071,f19(a14,a14)),f19(x5071,f19(a2,a14)))),
% 2.72/2.99 inference(rename_variables,[],[441])).
% 2.72/2.99 cnf(510,plain,
% 2.72/2.99 (P8(f15(f21(a2)),a14)),
% 2.72/2.99 inference(scs_inference,[],[113,499,112,55,59,64,251,424,422,441,468,247,459,445,135,385,388,383,412,491,158,207,100,22,21,20,91,34,25,2,23,30,3,38,35])).
% 2.72/2.99 cnf(518,plain,
% 2.72/2.99 (P7(f15(f19(a2,a14)),f19(a14,a14))),
% 2.72/2.99 inference(scs_inference,[],[113,499,112,55,59,501,64,62,251,424,422,441,507,468,444,247,459,445,135,148,385,388,383,412,491,158,207,100,22,21,20,91,34,25,2,23,30,3,38,35,40,80,97,37,24])).
% 2.72/2.99 cnf(520,plain,
% 2.72/2.99 (P10(f22(a1),f22(a1),f19(a1,a12))+~P7(f19(a1,a12),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[113,499,112,55,59,501,64,62,251,424,422,441,507,468,444,247,459,260,445,135,148,385,388,383,412,491,158,160,304,207,100,22,21,20,91,34,25,2,23,30,3,38,35,40,80,97,37,24,110])).
% 2.72/2.99 cnf(531,plain,
% 2.72/2.99 (P8(f19(f19(a14,a14),a14),f19(f19(a2,a14),a2))),
% 2.72/2.99 inference(scs_inference,[],[63,256,177,468,104,35])).
% 2.72/2.99 cnf(535,plain,
% 2.72/2.99 (E(f6(x5351),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(537,plain,
% 2.72/2.99 (E(f6(x5371),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(544,plain,
% 2.72/2.99 (~E(f6(x5441),f19(a1,f4(a1)))),
% 2.72/2.99 inference(scs_inference,[],[55,57,63,369,440,393,518,265,256,177,468,459,412,535,537,104,35,24,22,21,34,25,2,23])).
% 2.72/2.99 cnf(551,plain,
% 2.72/2.99 (P7(f8(a1),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[53,55,57,58,63,61,369,440,393,518,265,349,256,177,441,468,459,414,168,412,535,537,104,35,24,22,21,34,25,2,23,3,30,28,96])).
% 2.72/2.99 cnf(553,plain,
% 2.72/2.99 (E(f21(f17(a2)),f21(f17(a14)))),
% 2.72/2.99 inference(scs_inference,[],[53,55,57,58,63,61,369,440,393,518,265,349,256,177,164,441,468,459,414,168,412,535,537,104,35,24,22,21,34,25,2,23,3,30,28,96,7])).
% 2.72/2.99 cnf(554,plain,
% 2.72/2.99 (P11(f20(a1),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[53,55,57,58,63,61,189,369,440,393,518,265,349,256,177,164,441,468,459,414,168,412,535,537,304,104,35,24,22,21,34,25,2,23,3,30,28,96,7,91])).
% 2.72/2.99 cnf(573,plain,
% 2.72/2.99 (P9(f17(a1),a1)),
% 2.72/2.99 inference(scs_inference,[],[61,195,45,46,97])).
% 2.72/2.99 cnf(575,plain,
% 2.72/2.99 (P10(f22(a1),f8(a1),f8(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,551,195,304,45,46,97,104])).
% 2.72/2.99 cnf(577,plain,
% 2.72/2.99 (~P13(f17(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,551,195,304,45,46,97,104,95])).
% 2.72/2.99 cnf(579,plain,
% 2.72/2.99 (~P11(f22(a1),f20(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,551,554,195,304,45,46,97,104,95,93])).
% 2.72/2.99 cnf(582,plain,
% 2.72/2.99 (~P10(f19(a1,a12),f19(a1,a12),f6(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[61,494,551,554,313,195,207,304,45,46,97,104,95,93,32,21])).
% 2.72/2.99 cnf(583,plain,
% 2.72/2.99 (P8(f19(a2,a2),f19(a14,a14))),
% 2.72/2.99 inference(scs_inference,[],[61,391,494,551,554,313,195,241,207,304,45,46,97,104,95,93,32,21,34])).
% 2.72/2.99 cnf(586,plain,
% 2.72/2.99 (P7(x5861,f21(x5861))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(588,plain,
% 2.72/2.99 (P11(f15(f19(a1,a12)),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,544,391,494,495,551,554,313,195,385,241,160,207,304,45,46,97,104,95,93,32,21,34,25,2,30])).
% 2.72/2.99 cnf(593,plain,
% 2.72/2.99 (E(f15(f21(a2)),a14)),
% 2.72/2.99 inference(scs_inference,[],[52,61,544,391,494,495,551,554,313,504,354,195,385,241,160,207,304,45,46,97,104,95,93,32,21,34,25,2,30,3,27,94,65])).
% 2.72/2.99 cnf(595,plain,
% 2.72/2.99 (~P13(f3(f3(a7)))),
% 2.72/2.99 inference(scs_inference,[],[52,61,544,391,494,495,551,162,554,313,504,354,195,385,241,160,207,304,45,46,97,104,95,93,32,21,34,25,2,30,3,27,94,65,72])).
% 2.72/2.99 cnf(598,plain,
% 2.72/2.99 (P7(x5981,f21(x5981))),
% 2.72/2.99 inference(rename_variables,[],[160])).
% 2.72/2.99 cnf(605,plain,
% 2.72/2.99 (~E(a11,x6051)+P7(f3(f3(a7)),f21(f3(a7)))),
% 2.72/2.99 inference(scs_inference,[],[52,55,61,506,544,391,494,495,551,162,554,313,504,354,195,385,241,160,586,207,304,45,46,97,104,95,93,32,21,34,25,2,30,3,27,94,65,72,100,38,70,66,83])).
% 2.72/2.99 cnf(612,plain,
% 2.72/2.99 (~E(a11,x6121)+E(f19(a1,f17(a1)),f17(a1))+~P7(f19(a1,f17(a1)),f21(f22(a1)))+~P7(f17(a1),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[111,52,55,61,506,544,391,494,495,551,284,162,554,313,504,354,195,325,385,241,160,586,598,207,304,45,46,97,104,95,93,32,21,34,25,2,30,3,27,94,65,72,100,38,70,66,83,29,33,105,108])).
% 2.72/2.99 cnf(620,plain,
% 2.72/2.99 (P7(f3(f3(a7)),f21(f3(a7)))),
% 2.72/2.99 inference(equality_inference,[],[605])).
% 2.72/2.99 cnf(621,plain,
% 2.72/2.99 (~P7(f19(a1,f17(a1)),f21(f22(a1)))+E(f19(a1,f17(a1)),f17(a1))+~P7(f17(a1),f21(f22(a1)))),
% 2.72/2.99 inference(equality_inference,[],[612])).
% 2.72/2.99 cnf(624,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,f16(a1)),f16(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,197,45,46,106])).
% 2.72/2.99 cnf(626,plain,
% 2.72/2.99 (P10(f8(a5),f6(f8(a5)),f6(f8(a5)))),
% 2.72/2.99 inference(scs_inference,[],[60,61,183,197,45,46,106,104])).
% 2.72/2.99 cnf(628,plain,
% 2.72/2.99 (P7(f6(x6281),f21(x6281))),
% 2.72/2.99 inference(rename_variables,[],[60])).
% 2.72/2.99 cnf(630,plain,
% 2.72/2.99 (~P11(f22(a1),f15(f19(a1,a12)))),
% 2.72/2.99 inference(scs_inference,[],[60,61,588,183,197,45,46,106,104,93])).
% 2.72/2.99 cnf(634,plain,
% 2.72/2.99 (~P6(f15(f21(a2)),a1)),
% 2.72/2.99 inference(scs_inference,[],[60,61,588,143,183,593,454,197,45,46,106,104,93,29,32])).
% 2.72/2.99 cnf(636,plain,
% 2.72/2.99 (E(f6(x6361),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(637,plain,
% 2.72/2.99 (P7(f6(f17(a2)),f21(f17(a14)))),
% 2.72/2.99 inference(scs_inference,[],[60,628,61,309,553,588,143,183,593,454,197,412,45,46,106,104,93,29,32,21,25])).
% 2.72/2.99 cnf(646,plain,
% 2.72/2.99 (E(f19(a1,f22(a1)),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[51,112,60,628,61,309,442,553,588,143,183,593,454,197,554,117,468,412,167,160,48,304,45,46,106,104,93,29,32,21,25,3,2,30,26,107])).
% 2.72/2.99 cnf(653,plain,
% 2.72/2.99 (~E(a10,x6531)+E(f15(f18(a2)),f15(f18(a14)))),
% 2.72/2.99 inference(scs_inference,[],[51,112,60,628,61,309,442,553,588,143,183,593,165,454,197,554,117,468,412,167,160,48,304,45,46,106,104,93,29,32,21,25,3,2,30,26,107,69,11,8,6])).
% 2.72/2.99 cnf(655,plain,
% 2.72/2.99 (~E(a10,x6551)+E(f19(x6552,f18(a2)),f19(x6552,f18(a14)))),
% 2.72/2.99 inference(scs_inference,[],[51,112,60,628,61,309,442,553,588,143,183,593,165,454,197,554,117,468,412,167,160,48,304,45,46,106,104,93,29,32,21,25,3,2,30,26,107,69,11,8,6,15,13])).
% 2.72/2.99 cnf(660,plain,
% 2.72/2.99 (~E(a10,x6601)+E(f19(f18(a2),x6602),f19(f18(a14),x6602))),
% 2.72/2.99 inference(scs_inference,[],[51,112,60,628,61,309,442,553,588,143,183,593,165,454,197,554,117,468,412,167,160,48,304,45,46,106,104,93,29,32,21,25,3,2,30,26,107,69,11,8,6,15,13,9,4,16,14,12])).
% 2.72/2.99 cnf(667,plain,
% 2.72/2.99 (~E(a10,x6671)+P10(a7,f6(a7),a14)),
% 2.72/2.99 inference(scs_inference,[],[51,112,60,628,61,309,442,583,553,588,143,183,593,165,454,197,554,117,468,412,636,167,160,48,304,45,46,106,104,93,29,32,21,25,3,2,30,26,107,69,11,8,6,15,13,9,4,16,14,12,10,5,85,92,22])).
% 2.72/2.99 cnf(686,plain,
% 2.72/2.99 (E(f15(f18(a2)),f15(f18(a14)))),
% 2.72/2.99 inference(equality_inference,[],[653])).
% 2.72/2.99 cnf(688,plain,
% 2.72/2.99 (E(f19(x6881,f18(a2)),f19(x6881,f18(a14)))),
% 2.72/2.99 inference(equality_inference,[],[655])).
% 2.72/2.99 cnf(693,plain,
% 2.72/2.99 (E(f19(f18(a2),x6931),f19(f18(a14),x6931))),
% 2.72/2.99 inference(equality_inference,[],[660])).
% 2.72/2.99 cnf(698,plain,
% 2.72/2.99 (P10(a7,f6(a7),a14)),
% 2.72/2.99 inference(equality_inference,[],[667])).
% 2.72/2.99 cnf(700,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,f22(a1)),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,257,45,46,106])).
% 2.72/2.99 cnf(702,plain,
% 2.72/2.99 (P7(f17(a1),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[61,573,257,45,46,106,101])).
% 2.72/2.99 cnf(704,plain,
% 2.72/2.99 (~P10(f22(a1),f6(f22(a1)),f22(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,60,573,257,445,160,304,45,46,106,101,110])).
% 2.72/2.99 cnf(709,plain,
% 2.72/2.99 (E(f6(x7091),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(713,plain,
% 2.72/2.99 (P7(f19(a2,a2),f21(f19(a14,a2)))),
% 2.72/2.99 inference(scs_inference,[],[61,60,626,634,573,317,257,445,359,412,709,160,304,45,46,106,101,110,22,32,21,25])).
% 2.72/2.99 cnf(729,plain,
% 2.72/2.99 (~P7(f19(a1,f17(a1)),f21(f22(a1)))+E(f19(a1,f17(a1)),f17(a1))),
% 2.72/2.99 inference(scs_inference,[],[702,621])).
% 2.72/2.99 cnf(730,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,f22(a1)),f16(a1))),
% 2.72/2.99 inference(scs_inference,[],[61,554,160,48,304,45,46,109])).
% 2.72/2.99 cnf(733,plain,
% 2.72/2.99 (P9(f19(a1,f4(a1)),a1)),
% 2.72/2.99 inference(scs_inference,[],[61,302,554,160,48,304,45,46,109,97])).
% 2.72/2.99 cnf(736,plain,
% 2.72/2.99 (~E(f19(a1,f4(a1)),f15(f21(a14)))),
% 2.72/2.99 inference(scs_inference,[],[61,704,646,313,302,554,160,48,304,45,46,109,97,22,32])).
% 2.72/2.99 cnf(738,plain,
% 2.72/2.99 (~E(f21(f22(a1)),f3(f21(a2)))),
% 2.72/2.99 inference(scs_inference,[],[61,451,704,646,313,495,302,554,203,160,48,304,45,46,109,97,22,32,21,25])).
% 2.72/2.99 cnf(762,plain,
% 2.72/2.99 (P10(f22(a1),f19(a1,f19(a1,a12)),f19(a1,a12))),
% 2.72/2.99 inference(scs_inference,[],[357,45,46,61,106])).
% 2.72/2.99 cnf(764,plain,
% 2.72/2.99 (P9(f19(a1,a12),a1)),
% 2.72/2.99 inference(scs_inference,[],[357,45,46,61,106,97])).
% 2.72/2.99 cnf(767,plain,
% 2.72/2.99 (E(f6(x7671),a14)),
% 2.72/2.99 inference(rename_variables,[],[412])).
% 2.72/2.99 cnf(772,plain,
% 2.72/2.99 (E(f19(f18(a2),f19(a14,a14)),f19(f18(a14),f19(a2,a14)))),
% 2.72/2.99 inference(scs_inference,[],[59,698,492,166,693,357,441,412,767,45,46,61,106,97,22,21,25,3])).
% 2.72/2.99 cnf(775,plain,
% 2.72/2.99 (~E(f15(f21(a14)),f19(a1,f4(a1)))),
% 2.72/2.99 inference(scs_inference,[],[59,736,698,492,166,693,357,441,412,767,45,46,61,106,97,22,21,25,3,2])).
% 2.72/2.99 cnf(779,plain,
% 2.72/2.99 (~P13(f3(a12))),
% 2.72/2.99 inference(scs_inference,[],[120,59,702,736,698,492,166,693,357,441,412,767,45,46,61,106,97,22,21,25,3,2,17,94,72])).
% 2.72/2.99 cnf(781,plain,
% 2.72/2.99 (P7(f19(a1,f4(a1)),f21(f22(a1)))),
% 2.72/2.99 inference(scs_inference,[],[120,59,702,736,698,492,733,166,693,357,441,412,767,45,46,61,106,97,22,21,25,3,2,17,94,72,101])).
% 2.72/2.99 cnf(797,plain,
% 2.72/2.99 (E(f15(f21(a14)),a14)),
% 2.72/2.99 inference(scs_inference,[],[233,65])).
% 2.72/2.99 cnf(801,plain,
% 2.72/2.99 (P7(f3(a12),f21(a12))),
% 2.72/2.99 inference(scs_inference,[],[120,354,233,65,66,83])).
% 2.72/2.99 cnf(804,plain,
% 2.92/2.99 (P7(f15(x8041),x8041)),
% 2.92/2.99 inference(rename_variables,[],[59])).
% 2.92/2.99 cnf(805,plain,
% 2.92/2.99 (E(f21(f8(a2)),f21(f8(a14)))),
% 2.92/2.99 inference(scs_inference,[],[120,59,686,169,354,233,65,66,83,24,7])).
% 2.92/2.99 cnf(806,plain,
% 2.92/2.99 (P7(f19(a1,a12),f21(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[120,59,764,686,169,354,233,45,46,61,65,66,83,24,7,101])).
% 2.92/2.99 cnf(808,plain,
% 2.92/2.99 (P10(f22(a1),a12,f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[120,59,764,686,169,205,354,233,203,304,45,46,61,65,66,83,24,7,101,110])).
% 2.92/2.99 cnf(810,plain,
% 2.92/2.99 (P11(f15(a12),a12)),
% 2.92/2.99 inference(scs_inference,[],[120,59,804,764,686,169,205,354,233,203,304,45,46,61,65,66,83,24,7,101,110,91])).
% 2.92/2.99 cnf(813,plain,
% 2.92/2.99 (P8(f19(f18(a14),f19(a2,a14)),f19(f18(a2),f19(a14,a14)))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,764,686,169,205,354,233,203,304,45,46,61,65,66,83,24,7,101,110,91,34])).
% 2.92/2.99 cnf(815,plain,
% 2.92/2.99 (P10(f22(a1),f19(a1,f19(a1,a12)),f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,762,764,686,169,205,354,233,203,207,304,45,46,61,65,66,83,24,7,101,110,91,34,22])).
% 2.92/2.99 cnf(816,plain,
% 2.92/2.99 (~E(f19(a1,f22(a1)),f6(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,762,700,764,686,169,205,704,354,233,203,207,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21])).
% 2.92/2.99 cnf(819,plain,
% 2.92/2.99 (E(f19(f19(a14,a14),f18(a2)),f19(f19(a2,a14),f18(a14)))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,762,700,764,686,169,205,704,688,354,239,233,468,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3])).
% 2.92/2.99 cnf(822,plain,
% 2.92/2.99 (E(f19(f18(a14),f19(a2,a14)),f19(f18(a2),f19(a14,a14)))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,762,700,764,686,169,205,704,688,354,239,233,468,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2])).
% 2.92/2.99 cnf(823,plain,
% 2.92/2.99 (E(f19(a1,a12),a12)),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,772,762,700,764,686,169,205,704,688,354,239,233,468,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2,432])).
% 2.92/2.99 cnf(825,plain,
% 2.92/2.99 (P8(f19(f19(a14,a14),a14),f19(f19(a2,a14),a14))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,531,772,762,700,764,686,169,205,704,688,354,239,233,468,167,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2,432,19,35])).
% 2.92/2.99 cnf(826,plain,
% 2.92/2.99 (~P11(a12,f15(a12))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,531,772,762,700,764,686,169,205,704,688,354,239,233,468,167,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2,432,19,35,93])).
% 2.92/2.99 cnf(828,plain,
% 2.92/2.99 (P11(f6(f17(a2)),f21(f17(a14)))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,531,772,762,700,764,686,169,205,704,688,553,354,239,306,233,468,167,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2,432,19,35,93,30])).
% 2.92/2.99 cnf(830,plain,
% 2.92/2.99 (P10(f22(a1),f22(a1),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[120,57,59,804,531,772,762,700,764,686,169,205,704,688,553,354,239,306,233,468,167,203,207,160,304,45,46,61,65,66,83,24,7,101,110,91,34,22,21,25,3,2,432,19,35,93,30,520])).
% 2.92/2.99 cnf(840,plain,
% 2.92/2.99 (E(a12,f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[806,808,203,304,108])).
% 2.92/2.99 cnf(842,plain,
% 2.92/2.99 (P7(f15(a12),f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[806,808,810,203,304,108,100])).
% 2.92/2.99 cnf(844,plain,
% 2.92/2.99 (P11(a14,f21(f17(a14)))),
% 2.92/2.99 inference(scs_inference,[],[806,828,808,810,412,203,304,108,100,29])).
% 2.92/2.99 cnf(847,plain,
% 2.92/2.99 (P11(f19(a2,a2),f21(f19(a14,a2)))),
% 2.92/2.99 inference(scs_inference,[],[64,713,806,828,808,810,261,412,203,304,108,100,29,24,91])).
% 2.92/2.99 cnf(852,plain,
% 2.92/2.99 (~P10(a12,f6(a12),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[64,713,825,337,806,828,823,808,810,261,241,412,203,304,108,100,29,24,91,34,22])).
% 2.92/2.99 cnf(853,plain,
% 2.92/2.99 (~P10(f19(a1,a12),a12,f6(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[64,713,825,582,337,806,828,823,808,810,261,241,412,203,304,108,100,29,24,91,34,22,21])).
% 2.92/2.99 cnf(856,plain,
% 2.92/2.99 (P11(f15(f19(a1,a12)),a12)),
% 2.92/2.99 inference(scs_inference,[],[64,713,825,582,337,806,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30])).
% 2.92/2.99 cnf(859,plain,
% 2.92/2.99 (E(f22(f19(a1,a12)),f22(a12))),
% 2.92/2.99 inference(scs_inference,[],[64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8])).
% 2.92/2.99 cnf(860,plain,
% 2.92/2.99 (E(f15(f19(a1,a12)),f15(a12))),
% 2.92/2.99 inference(scs_inference,[],[64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8,6])).
% 2.92/2.99 cnf(861,plain,
% 2.92/2.99 (E(f18(f19(a1,a12)),f18(a12))),
% 2.92/2.99 inference(scs_inference,[],[64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8,6,15])).
% 2.92/2.99 cnf(862,plain,
% 2.92/2.99 (E(f8(f19(a1,a12)),f8(a12))),
% 2.92/2.99 inference(scs_inference,[],[64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8,6,15,11])).
% 2.92/2.99 cnf(865,plain,
% 2.92/2.99 (P8(f15(f21(a12)),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[113,64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8,6,15,11,85,35])).
% 2.92/2.99 cnf(867,plain,
% 2.92/2.99 (~P11(f21(f19(a14,a2)),f19(a2,a2))),
% 2.92/2.99 inference(scs_inference,[],[113,64,713,822,825,582,337,806,816,828,823,808,797,810,775,261,383,385,241,412,203,304,108,100,29,24,91,34,22,21,25,3,30,2,17,8,6,15,11,85,35,93])).
% 2.92/2.99 cnf(880,plain,
% 2.92/2.99 (E(f4(a12),f4(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14])).
% 2.92/2.99 cnf(881,plain,
% 2.92/2.99 (E(f19(x8811,a12),f19(x8811,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13])).
% 2.92/2.99 cnf(882,plain,
% 2.92/2.99 (E(f3(a12),f3(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10])).
% 2.92/2.99 cnf(883,plain,
% 2.92/2.99 (E(f16(a12),f16(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10,9])).
% 2.92/2.99 cnf(884,plain,
% 2.92/2.99 (E(f20(a12),f20(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10,9,5])).
% 2.92/2.99 cnf(885,plain,
% 2.92/2.99 (E(f6(a12),f6(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10,9,5,4])).
% 2.92/2.99 cnf(886,plain,
% 2.92/2.99 (E(f17(a12),f17(f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10,9,5,4,16])).
% 2.92/2.99 cnf(887,plain,
% 2.92/2.99 (E(f19(a12,x8871),f19(f19(a1,a12),x8871))),
% 2.92/2.99 inference(scs_inference,[],[840,14,13,10,9,5,4,16,12])).
% 2.92/2.99 cnf(888,plain,
% 2.92/2.99 (P10(a12,f15(f21(a12)),f15(f21(a12)))),
% 2.92/2.99 inference(scs_inference,[],[120,59,840,14,13,10,9,5,4,16,12,104])).
% 2.92/2.99 cnf(890,plain,
% 2.92/2.99 (P7(f15(x8901),x8901)),
% 2.92/2.99 inference(rename_variables,[],[59])).
% 2.92/2.99 cnf(892,plain,
% 2.92/2.99 (P9(f16(a1),a1)),
% 2.92/2.99 inference(scs_inference,[],[120,59,840,197,45,46,61,14,13,10,9,5,4,16,12,104,97])).
% 2.92/2.99 cnf(894,plain,
% 2.92/2.99 (E(f22(a1),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[120,59,830,840,806,197,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108])).
% 2.92/2.99 cnf(902,plain,
% 2.92/2.99 (~P7(f19(a1,a12),f3(f21(a2)))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,830,865,840,856,806,495,197,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24])).
% 2.92/2.99 cnf(904,plain,
% 2.92/2.99 (P6(f19(a1,f19(a1,a12)),a1)),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,575,830,865,840,856,806,495,197,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32])).
% 2.92/2.99 cnf(905,plain,
% 2.92/2.99 (~P8(f19(a1,a12),a2)),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,575,830,865,840,856,806,388,495,197,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34])).
% 2.92/2.99 cnf(906,plain,
% 2.92/2.99 (P10(f22(a1),f19(a1,a12),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,575,830,865,840,856,806,388,205,495,197,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22])).
% 2.92/2.99 cnf(907,plain,
% 2.92/2.99 (P10(f22(a1),a12,f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,575,830,865,840,856,260,806,388,205,495,197,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22,21])).
% 2.92/2.99 cnf(910,plain,
% 2.92/2.99 (~P11(f21(f19(a14,a2)),f19(a14,a14))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,890,575,830,867,865,840,856,260,806,388,205,459,495,197,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22,21,25,30])).
% 2.92/2.99 cnf(911,plain,
% 2.92/2.99 (E(f19(f18(a14),f19(a2,a14)),f19(f18(a14),f19(a14,a14)))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,890,575,830,867,865,840,856,260,806,388,205,693,459,495,197,822,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22,21,25,30,3])).
% 2.92/2.99 cnf(916,plain,
% 2.92/2.99 (~P7(f19(a1,a12),f21(a2))),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,890,575,830,867,865,819,840,856,260,148,806,388,205,693,459,495,197,822,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22,21,25,30,3,2,81,94])).
% 2.92/2.99 cnf(918,plain,
% 2.92/2.99 (P6(f19(a1,f8(a1)),a1)),
% 2.92/2.99 inference(scs_inference,[],[111,120,59,890,575,830,867,865,819,464,840,856,260,148,806,388,205,693,459,495,197,551,822,357,823,160,304,45,46,61,14,13,10,9,5,4,16,12,104,97,108,92,29,93,24,20,32,34,22,21,25,30,3,2,81,94,103])).
% 2.92/2.99 cnf(940,plain,
% 2.92/2.99 (P6(f19(a1,f17(a1)),a1)),
% 2.92/2.99 inference(scs_inference,[],[637,577,702,45,46,61,94,103])).
% 2.92/2.99 cnf(942,plain,
% 2.92/2.99 (P10(a12,f6(a12),f6(a12))),
% 2.92/2.99 inference(scs_inference,[],[120,60,637,577,702,45,46,61,94,103,104])).
% 2.92/2.99 cnf(943,plain,
% 2.92/2.99 (P7(f6(x9431),f21(x9431))),
% 2.92/2.99 inference(rename_variables,[],[60])).
% 2.92/2.99 cnf(945,plain,
% 2.92/2.99 (P7(f16(a1),f21(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[120,60,637,577,892,702,45,46,61,94,103,104,101])).
% 2.92/2.99 cnf(949,plain,
% 2.92/2.99 (P11(f6(f19(a1,a12)),f21(a12))),
% 2.92/2.99 inference(scs_inference,[],[120,60,637,885,577,892,702,856,306,45,46,61,94,103,104,101,85,29])).
% 2.92/2.99 cnf(951,plain,
% 2.92/2.99 (P7(f19(a1,f19(a1,a12)),f21(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[120,60,637,881,885,577,892,702,856,806,306,45,46,61,94,103,104,101,85,29,24])).
% 2.92/2.99 cnf(952,plain,
% 2.92/2.99 (E(f19(x9521,a12),f19(x9521,f19(a1,a12)))),
% 2.92/2.99 inference(rename_variables,[],[881])).
% 2.92/2.99 cnf(953,plain,
% 2.92/2.99 (~P10(f19(a1,a12),a12,f6(a12))),
% 2.92/2.99 inference(scs_inference,[],[120,60,637,332,881,885,577,892,702,856,806,306,823,45,46,61,94,103,104,101,85,29,24,20])).
% 2.92/2.99 cnf(957,plain,
% 2.92/2.99 (P10(f22(a1),f19(a1,f16(a1)),f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[57,120,60,624,637,911,332,881,885,577,904,892,634,702,856,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22])).
% 2.92/2.99 cnf(958,plain,
% 2.92/2.99 (~E(a2,f3(f3(a7)))),
% 2.92/2.99 inference(scs_inference,[],[50,57,120,60,624,637,911,332,881,595,885,577,904,892,634,702,856,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22,23])).
% 2.92/2.99 cnf(959,plain,
% 2.92/2.99 (~E(f19(a1,f19(a1,a12)),f6(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[50,57,120,60,624,637,911,332,881,595,885,815,577,904,892,634,702,856,704,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22,23,21])).
% 2.92/2.99 cnf(960,plain,
% 2.92/2.99 (P7(f6(f8(a2)),f21(f8(a14)))),
% 2.92/2.99 inference(scs_inference,[],[50,57,120,60,943,624,637,911,332,881,595,805,885,815,577,904,892,634,702,856,704,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22,23,21,25])).
% 2.92/2.99 cnf(964,plain,
% 2.92/2.99 (E(f19(a12,a12),f19(f19(a1,a12),f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[50,122,57,120,60,943,624,637,847,911,332,881,952,887,595,805,885,815,577,904,892,634,702,856,704,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22,23,21,25,30,3])).
% 2.92/2.99 cnf(965,plain,
% 2.92/2.99 (E(f19(x9651,a12),f19(x9651,f19(a1,a12)))),
% 2.92/2.99 inference(rename_variables,[],[881])).
% 2.92/2.99 cnf(969,plain,
% 2.92/2.99 (P9(f19(a1,f19(a1,a12)),a1)),
% 2.92/2.99 inference(scs_inference,[],[50,122,57,120,60,943,624,637,847,911,332,738,881,952,965,887,595,805,885,815,577,904,892,634,702,856,764,704,806,306,201,823,45,46,61,94,103,104,101,85,29,24,20,32,34,22,23,21,25,30,3,2,18,36])).
% 2.92/2.99 cnf(988,plain,
% 2.92/2.99 (~P10(f22(a1),f19(a1,f19(a1,a12)),f6(f22(a1)))),
% 2.92/2.99 inference(scs_inference,[],[60,959,951,304,108])).
% 2.92/2.99 cnf(989,plain,
% 2.92/2.99 (P7(f6(x9891),f21(x9891))),
% 2.92/2.99 inference(rename_variables,[],[60])).
% 2.92/2.99 cnf(993,plain,
% 2.92/2.99 (~E(f6(a2),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[60,989,959,951,916,304,108,85,24])).
% 2.92/2.99 cnf(995,plain,
% 2.92/2.99 (P11(a14,f21(a12))),
% 2.92/2.99 inference(scs_inference,[],[60,989,959,951,949,916,412,304,108,85,24,29])).
% 2.92/2.99 cnf(997,plain,
% 2.92/2.99 (P10(f19(a1,a12),f19(a1,f22(a1)),f16(a1))),
% 2.92/2.99 inference(scs_inference,[],[60,989,730,959,951,894,949,916,412,304,108,85,24,29,20])).
% 2.92/2.99 cnf(999,plain,
% 2.92/2.99 (~E(f15(f21(a2)),f19(a1,a12))),
% 2.92/2.99 inference(scs_inference,[],[113,60,989,730,959,951,894,949,940,905,916,180,412,304,108,85,24,29,20,32,34])).
% 2.92/2.99 cnf(1001,plain,
% 2.92/2.99 (~P10(a12,f6(a12),f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[113,60,989,730,959,951,894,949,852,940,905,916,180,412,304,108,85,24,29,20,32,34,22])).
% 2.92/2.99 cnf(1002,plain,
% 2.92/2.99 (~P10(f19(a1,a12),f19(a1,a12),f6(a12))),
% 2.92/2.99 inference(scs_inference,[],[113,60,989,730,959,951,894,949,852,953,940,905,916,180,412,823,304,108,85,24,29,20,32,34,22,21])).
% 2.92/2.99 cnf(1003,plain,
% 2.92/2.99 (P11(f15(f19(a1,a12)),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[113,60,989,730,959,951,894,949,852,953,940,905,916,881,180,385,412,823,304,108,85,24,29,20,32,34,22,21,30])).
% 2.92/2.99 cnf(1011,plain,
% 2.92/2.99 (P9(f19(a1,f17(a1)),a1)),
% 2.92/2.99 inference(scs_inference,[],[113,60,989,730,959,951,859,894,949,460,852,953,940,958,905,916,881,150,180,158,385,412,823,304,45,46,61,108,85,24,29,20,32,34,22,21,30,3,2,80,72,97])).
% 2.92/2.99 cnf(1028,plain,
% 2.92/2.99 (~P10(f22(a1),f6(f22(a1)),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[60,988,951,233,304,66,110])).
% 2.92/2.99 cnf(1033,plain,
% 2.92/2.99 (~P7(f22(a1),f3(f21(a2)))),
% 2.92/2.99 inference(scs_inference,[],[60,1003,988,902,951,894,233,304,66,110,85,24])).
% 2.92/2.99 cnf(1036,plain,
% 2.92/2.99 (~P8(f22(a1),a2)),
% 2.92/2.99 inference(scs_inference,[],[60,630,1003,888,988,902,951,905,894,646,233,840,304,66,110,85,24,29,20,34])).
% 2.92/2.99 cnf(1037,plain,
% 2.92/2.99 (P10(f22(a1),f19(a1,a12),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[60,630,1003,888,906,988,902,951,905,881,894,646,233,840,304,66,110,85,24,29,20,34,22])).
% 2.92/2.99 cnf(1038,plain,
% 2.92/2.99 (E(f19(x10381,a12),f19(x10381,f19(a1,a12)))),
% 2.92/2.99 inference(rename_variables,[],[881])).
% 2.92/2.99 cnf(1039,plain,
% 2.92/2.99 (P10(a12,f6(f19(a1,a12)),f6(a12))),
% 2.92/2.99 inference(scs_inference,[],[60,630,1003,888,906,942,988,902,951,905,881,885,894,646,233,840,304,66,110,85,24,29,20,34,22,21])).
% 2.92/2.99 cnf(1040,plain,
% 2.92/2.99 (E(f22(a1),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[60,630,1003,888,906,942,988,902,951,905,881,1038,885,894,646,233,840,304,66,110,85,24,29,20,34,22,21,3])).
% 2.92/2.99 cnf(1046,plain,
% 2.92/2.99 (~P7(f22(a1),f21(a2))),
% 2.92/2.99 inference(scs_inference,[],[117,60,630,1003,888,906,942,999,861,988,902,462,951,905,881,1038,885,894,646,233,840,304,66,110,85,24,29,20,34,22,21,3,30,2,43,94])).
% 2.92/2.99 cnf(1048,plain,
% 2.92/2.99 (~E(f19(a1,f8(a1)),f6(x10481))),
% 2.92/2.99 inference(scs_inference,[],[117,60,630,1003,888,906,942,999,861,988,918,902,462,951,237,905,881,1038,885,894,646,233,840,304,66,110,85,24,29,20,34,22,21,3,30,2,43,94,32])).
% 2.92/2.99 cnf(1065,plain,
% 2.92/2.99 (~P7(a7,f21(f6(x10651)))),
% 2.92/2.99 inference(scs_inference,[],[117,55,781,1046,171,424,15,11,8,100,94,99])).
% 2.92/2.99 cnf(1067,plain,
% 2.92/2.99 (~E(f6(f22(a1)),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,781,1028,1046,171,424,951,304,15,11,8,100,94,99,105])).
% 2.92/2.99 cnf(1070,plain,
% 2.92/2.99 (E(f21(f16(a2)),f21(f16(a14)))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,781,1028,1046,171,424,951,304,15,11,8,100,94,99,105,7])).
% 2.92/2.99 cnf(1071,plain,
% 2.92/2.99 (~P11(f22(a1),f21(a2))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,781,1028,1046,171,424,951,304,15,11,8,100,94,99,105,7,85])).
% 2.92/2.99 cnf(1073,plain,
% 2.92/2.99 (P7(f19(f19(a1,a12),f19(a1,a12)),f21(f19(a12,a12)))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,964,781,1028,1046,171,424,951,160,304,15,11,8,100,94,99,105,7,85,24])).
% 2.92/2.99 cnf(1074,plain,
% 2.92/2.99 (P7(x10741,f21(x10741))),
% 2.92/2.99 inference(rename_variables,[],[160])).
% 2.92/2.99 cnf(1075,plain,
% 2.92/2.99 (P11(f15(a12),f19(a1,f19(a1,a12)))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,964,781,1028,860,1046,171,424,1003,951,160,304,15,11,8,100,94,99,105,7,85,24,29])).
% 2.92/2.99 cnf(1076,plain,
% 2.92/2.99 (~P10(f22(a1),f19(a1,a12),f6(a12))),
% 2.92/2.99 inference(scs_inference,[],[117,55,60,964,781,1002,1028,860,1046,171,424,1003,951,894,160,304,15,11,8,100,94,99,105,7,85,24,29,20])).
% 2.92/2.99 cnf(1079,plain,
% 2.92/2.99 (P10(f19(a1,a12),f19(a1,f22(a1)),f22(a1))),
% 2.92/2.99 inference(scs_inference,[],[117,55,57,60,964,781,997,1002,1028,860,1046,171,424,1003,951,894,201,160,304,15,11,8,100,94,99,105,7,85,24,29,20,34,22])).
% 2.92/2.99 cnf(1080,plain,
% 2.92/2.99 (P10(f19(a1,a12),f22(a1),f16(a1))),
% 2.92/2.99 inference(scs_inference,[],[117,55,57,60,964,781,997,1002,1028,860,1046,171,424,1003,951,646,894,201,160,304,15,11,8,100,94,99,105,7,85,24,29,20,34,22,21])).
% 2.92/2.99 cnf(1086,plain,
% 2.92/2.99 (E(f19(f19(a1,a12),f19(a1,a12)),f19(a12,a12))),
% 2.92/2.99 inference(scs_inference,[],[122,117,55,57,60,964,781,997,1002,1040,1028,860,1046,844,171,424,1003,951,646,894,201,160,1074,304,15,11,8,100,94,99,105,7,85,24,29,20,34,22,21,25,30,3,2])).
% 2.92/2.99 cnf(1091,plain,
% 2.92/2.99 (P8(f19(f18(a14),f19(a2,a14)),f19(f18(a2),f19(a2,a14)))),
% 2.92/2.99 inference(scs_inference,[],[122,117,55,57,60,964,813,781,997,1002,1040,1028,860,1046,844,171,401,424,1003,951,441,646,894,201,160,1074,304,15,11,8,100,94,99,105,7,85,24,29,20,34,22,21,25,30,3,2,86,92,35])).
% 2.92/2.99 cnf(1105,plain,
% 2.92/2.99 (P7(f15(x11051),x11051)),
% 2.92/2.99 inference(rename_variables,[],[59])).
% 2.92/2.99 cnf(1111,plain,
% 2.92/2.99 (P7(f3(f19(a1,a12)),f21(a12))),
% 2.92/3.00 inference(scs_inference,[],[59,510,801,882,1075,779,92,91,85,93,24])).
% 2.92/3.00 cnf(1113,plain,
% 2.92/3.00 (P10(f19(a1,f19(a1,a12)),f19(a1,a12),f19(a1,f19(a1,a12)))),
% 2.92/3.00 inference(scs_inference,[],[59,510,1037,801,882,1075,779,1071,347,1040,92,91,85,93,24,29,20])).
% 2.92/3.00 cnf(1117,plain,
% 2.92/3.00 (~P10(f22(a1),f22(a1),f6(a12))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1036,510,1037,801,882,1075,1076,779,1071,347,1040,894,92,91,85,93,24,29,20,34,22,21])).
% 2.92/3.00 cnf(1120,plain,
% 2.92/3.00 (P11(f15(f3(a12)),f3(f19(a1,a12)))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1036,510,1037,801,880,882,1075,1076,779,1071,347,1040,894,92,91,85,93,24,29,20,34,22,21,25,30])).
% 2.92/3.00 cnf(1123,plain,
% 2.92/3.00 (~E(f6(x11231),f19(a1,f8(a1)))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1048,1036,1067,510,1037,801,880,882,1075,1076,779,1071,347,1040,894,412,92,91,85,93,24,29,20,34,22,21,25,30,3,2])).
% 2.92/3.00 cnf(1124,plain,
% 2.92/3.00 (E(f19(x11241,f22(a2)),f19(x11241,f22(a14)))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1048,1036,1067,510,1037,801,880,882,1075,1076,779,1071,172,347,1040,894,412,92,91,85,93,24,29,20,34,22,21,25,30,3,2,13])).
% 2.92/3.00 cnf(1132,plain,
% 2.92/3.00 (E(f6(f22(a2)),f6(f22(a14)))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1048,1036,1067,510,1037,801,880,882,1075,1076,779,1071,172,347,464,1040,551,894,412,48,46,45,61,92,91,85,93,24,29,20,34,22,21,25,30,3,2,13,10,107,16,14,9,5,4])).
% 2.92/3.00 cnf(1136,plain,
% 2.92/3.00 (P9(f19(a1,f8(a1)),a1)),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1048,1036,1067,510,1037,801,880,882,1075,1076,779,1071,172,347,464,918,1040,551,894,412,48,160,46,45,61,92,91,85,93,24,29,20,34,22,21,25,30,3,2,13,10,107,16,14,9,5,4,99,97])).
% 2.92/3.00 cnf(1138,plain,
% 2.92/3.00 (~E(f19(a1,f19(a1,a12)),f15(f21(a14)))),
% 2.92/3.00 inference(scs_inference,[],[113,59,1105,1048,1036,1067,510,1037,801,880,882,1075,1076,779,1071,172,347,904,464,918,1040,313,551,894,412,48,160,46,45,61,92,91,85,93,24,29,20,34,22,21,25,30,3,2,13,10,107,16,14,9,5,4,99,97,32])).
% 2.92/3.00 cnf(1145,plain,
% 2.92/3.00 (E(f19(f22(a2),x11451),f19(f22(a14),x11451))),
% 2.92/3.00 inference(scs_inference,[],[113,55,59,1105,62,1048,1086,1036,1067,510,1037,801,880,882,1075,1076,779,1071,172,347,904,464,918,1040,313,551,894,412,48,160,47,46,45,61,92,91,85,93,24,29,20,34,22,21,25,30,3,2,13,10,107,16,14,9,5,4,99,97,32,37,95,106,33,12])).
% 2.92/3.00 cnf(1149,plain,
% 2.92/3.00 (~P10(f21(x11491),f6(f21(x11491)),f21(x11491))),
% 2.92/3.00 inference(scs_inference,[],[64,60,503,160,108])).
% 2.92/3.00 cnf(1151,plain,
% 2.92/3.00 (~P13(f21(x11511))),
% 2.92/3.00 inference(rename_variables,[],[64])).
% 2.92/3.00 cnf(1152,plain,
% 2.92/3.00 (P7(f6(x11521),f21(x11521))),
% 2.92/3.00 inference(rename_variables,[],[60])).
% 2.92/3.00 cnf(1157,plain,
% 2.92/3.00 (P11(f19(f19(a1,a12),f19(a1,a12)),f21(f19(a12,a12)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1073,620,503,160,108,94,91])).
% 2.92/3.00 cnf(1164,plain,
% 2.92/3.00 (~P7(f19(a1,f22(a1)),f3(f21(a2)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1073,1033,1120,620,1065,503,646,160,108,94,91,85,93,24])).
% 2.92/3.00 cnf(1168,plain,
% 2.92/3.00 (~P8(f19(a1,f22(a1)),a2)),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,579,1073,1033,1120,1079,620,1065,503,1036,881,646,160,108,94,91,85,93,24,29,20,34])).
% 2.92/3.00 cnf(1169,plain,
% 2.92/3.00 (P10(f19(a1,a12),f19(a1,f22(a1)),f19(a1,f19(a1,a12)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,579,1073,1033,1120,1079,620,1065,503,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22])).
% 2.92/3.00 cnf(1170,plain,
% 2.92/3.00 (P10(f19(a1,a12),f19(a1,f19(a1,a12)),f16(a1))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,579,1073,1033,1120,1079,620,1080,1065,503,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22,21])).
% 2.92/3.00 cnf(1173,plain,
% 2.92/3.00 (E(f19(f22(a2),f22(a2)),f19(f22(a14),f22(a14)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1152,579,1073,1033,1120,1124,1145,1079,620,1070,1080,1065,503,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22,21,25,3])).
% 2.92/3.00 cnf(1174,plain,
% 2.92/3.00 (E(f19(x11741,f22(a2)),f19(x11741,f22(a14)))),
% 2.92/3.00 inference(rename_variables,[],[1124])).
% 2.92/3.00 cnf(1176,plain,
% 2.92/3.00 (E(f19(x11761,f22(a14)),f19(x11761,f22(a2)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1152,579,1073,1033,1120,1124,1174,1145,1079,620,1070,1080,1065,503,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22,21,25,3,2])).
% 2.92/3.00 cnf(1177,plain,
% 2.92/3.00 (~E(f21(a2),f6(f21(a2)))),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1152,579,1073,1033,1120,1124,1174,1145,1079,620,1070,1080,1065,503,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22,21,25,3,2,293])).
% 2.92/3.00 cnf(1182,plain,
% 2.92/3.00 (P7(f15(f3(a12)),a12)),
% 2.92/3.00 inference(scs_inference,[],[64,1151,60,1152,579,1073,1033,1120,1124,1174,1145,1079,620,1070,1111,1080,1065,503,185,1036,1040,881,646,160,108,94,91,85,93,24,29,20,34,22,21,25,3,2,293,72,83,100])).
% 2.92/3.00 cnf(1198,plain,
% 2.92/3.00 (~P7(f19(a1,f22(a1)),f21(a2))),
% 2.92/3.00 inference(scs_inference,[],[1168,94])).
% 2.92/3.00 cnf(1201,plain,
% 2.92/3.00 (P8(x12011,x12011)),
% 2.92/3.00 inference(rename_variables,[],[57])).
% 2.92/3.00 cnf(1206,plain,
% 2.92/3.00 (P11(f6(f22(a14)),f21(f22(a2)))),
% 2.92/3.00 inference(scs_inference,[],[57,1157,1168,1132,995,306,94,35,85,93,29])).
% 2.92/3.00 cnf(1208,plain,
% 2.92/3.00 (P7(f16(f19(a1,a12)),f21(f16(a12)))),
% 2.92/3.00 inference(scs_inference,[],[57,1157,883,1168,1132,995,306,160,94,35,85,93,29,24])).
% 2.92/3.00 cnf(1210,plain,
% 2.92/3.00 (~P10(f22(a1),a12,f6(f22(a1)))),
% 2.92/3.00 inference(scs_inference,[],[57,1157,883,853,1168,1132,995,306,894,160,94,35,85,93,29,24,20])).
% 2.92/3.00 cnf(1213,plain,
% 2.92/3.00 (P10(f19(a1,a12),f19(a1,f19(a1,a12)),f22(a1))),
% 2.92/3.00 inference(scs_inference,[],[57,1201,1157,1176,1170,883,853,1168,1132,995,306,894,201,160,94,35,85,93,29,24,20,34,22])).
% 2.92/3.00 cnf(1215,plain,
% 2.92/3.00 (~P11(f21(f19(a12,a12)),f19(a12,f19(a1,a12)))),
% 2.92/3.00 inference(scs_inference,[],[57,1201,1169,1157,1176,1170,883,853,1168,1132,995,887,306,894,646,201,160,94,35,85,93,29,24,20,34,22,21,30])).
% 2.92/3.00 cnf(1216,plain,
% 2.92/3.00 (E(f19(a12,x12161),f19(f19(a1,a12),x12161))),
% 2.92/3.00 inference(rename_variables,[],[887])).
% 2.92/3.00 cnf(1222,plain,
% 2.92/3.00 (~P7(a7,f21(a14))),
% 2.92/3.00 inference(scs_inference,[],[117,57,1201,1169,969,1157,1138,1176,1170,883,853,1168,1132,995,887,1216,306,894,49,646,201,160,94,35,85,93,29,24,20,34,22,21,30,3,2,37,99])).
% 2.92/3.00 cnf(1226,plain,
% 2.92/3.00 (~P7(a7,f21(a2))),
% 2.92/3.00 inference(scs_inference,[],[117,57,1201,1169,969,1157,1138,1176,1170,883,853,1168,1132,995,887,1216,391,306,173,894,49,646,201,160,94,35,85,93,29,24,20,34,22,21,30,3,2,37,99,92,25])).
% 2.92/3.00 cnf(1234,plain,
% 2.92/3.00 (P7(f19(a1,f17(a1)),f21(f22(a1)))),
% 2.92/3.00 inference(scs_inference,[],[1011,174,46,45,61,6,101])).
% 2.92/3.00 cnf(1236,plain,
% 2.92/3.00 (E(f19(a1,f19(a1,a12)),f19(a1,a12))),
% 2.92/3.00 inference(scs_inference,[],[1011,174,762,951,806,304,46,45,61,6,101,108])).
% 2.92/3.00 cnf(1240,plain,
% 2.92/3.00 (~P8(a7,a14)),
% 2.92/3.00 inference(scs_inference,[],[1208,1011,1222,174,762,951,806,304,46,45,61,6,101,108,94,92])).
% 2.92/3.00 cnf(1244,plain,
% 2.92/3.00 (P11(a14,f21(f22(a2)))),
% 2.92/3.00 inference(scs_inference,[],[1164,1208,1011,1206,1222,174,762,951,806,412,304,46,45,61,6,101,108,94,92,85,29])).
% 2.92/3.00 cnf(1249,plain,
% 2.92/3.00 (P8(f19(f18(a2),f19(a14,a14)),f19(f18(a2),f19(a2,a14)))),
% 2.92/3.00 inference(scs_inference,[],[60,1091,1164,1208,1011,1198,1206,957,1222,174,762,951,806,822,1040,412,304,46,45,61,6,101,108,94,92,85,29,24,20,34])).
% 2.92/3.00 cnf(1251,plain,
% 2.92/3.00 (~P10(f22(a1),f19(a1,a12),f6(f22(a1)))),
% 2.92/3.00 inference(scs_inference,[],[60,1091,1164,1208,1011,1198,1206,957,1117,1210,1222,174,762,830,951,806,822,1040,412,823,304,46,45,61,6,101,108,94,92,85,29,24,20,34,22,21])).
% 2.92/3.00 cnf(1260,plain,
% 2.92/3.00 (P10(f22(a1),f17(a1),f19(a1,f17(a1)))),
% 2.92/3.00 inference(scs_inference,[],[59,60,1177,910,1091,1164,1208,1011,862,884,1198,1206,957,1117,1210,1222,174,762,284,830,702,143,951,168,806,822,1040,173,412,823,304,46,45,61,6,101,108,94,92,85,29,24,20,34,22,21,25,30,3,2,729,33,110])).
% 2.92/3.00 cnf(1280,plain,
% 2.92/3.00 (P10(f22(a1),f19(a1,f17(a1)),f19(a1,f17(a1)))),
% 2.92/3.00 inference(scs_inference,[],[1234,304,104])).
% 2.92/3.00 cnf(1282,plain,
% 2.92/3.00 (P7(f19(a1,f8(a1)),f21(f22(a1)))),
% 2.92/3.00 inference(scs_inference,[],[1234,1136,304,46,45,61,104,101])).
% 2.92/3.00 cnf(1287,plain,
% 2.92/3.00 (P7(f15(x12871),x12871)),
% 2.92/3.00 inference(rename_variables,[],[59])).
% 2.92/3.00 cnf(1296,plain,
% 2.92/3.00 (P10(f19(a1,a12),f19(a1,a12),f19(a1,f19(a1,a12)))),
% 2.92/3.00 inference(scs_inference,[],[59,1236,1113,826,1234,1260,1136,1244,256,577,702,823,304,46,45,61,104,101,108,91,92,85,93,29,20])).
% 2.92/3.00 cnf(1317,plain,
% 2.92/3.00 (P10(f22(a1),f22(a1),a12)),
% 2.92/3.00 inference(scs_inference,[],[113,122,55,120,59,1287,1236,1113,826,1123,1234,1213,993,1260,1136,1182,1244,907,1226,1240,175,1124,256,577,801,1111,887,882,702,203,840,823,160,304,46,45,61,104,101,108,91,92,85,93,29,20,24,34,22,21,25,30,3,2,71,27,105,7,110])).
% 2.92/3.00 cnf(1345,plain,
% 2.92/3.00 (P7(f6(x13451),f21(x13451))),
% 2.92/3.00 inference(rename_variables,[],[60])).
% 2.92/3.00 cnf(1347,plain,
% 2.92/3.00 (E(f22(a1),a12)),
% 2.92/3.00 inference(scs_inference,[],[60,1251,1317,164,806,203,160,304,13,10,4,16,14,12,9,5,105,108])).
% 2.92/3.00 cnf(1348,plain,
% 2.92/3.00 (P7(x13481,f21(x13481))),
% 2.92/3.00 inference(rename_variables,[],[160])).
% 2.92/3.00 cnf(1350,plain,
% 2.92/3.00 (~P10(f21(x13501),f21(x13501),f6(f21(x13501)))),
% 2.92/3.00 inference(scs_inference,[],[64,60,1345,1149,1251,1317,164,806,203,160,1348,304,13,10,4,16,14,12,9,5,105,108,110])).
% 2.92/3.00 cnf(1352,plain,
% 2.92/3.00 (P7(x13521,f21(x13521))),
% 2.92/3.00 inference(rename_variables,[],[160])).
% 2.92/3.00 cnf(1363,plain,
% 2.92/3.00 (P11(f6(f19(a2,a14)),f21(f19(a14,a14)))),
% 2.92/3.00 inference(scs_inference,[],[64,60,1345,1149,842,1251,1317,472,1198,1226,164,806,306,203,160,1348,304,13,10,4,16,14,12,9,5,105,108,110,92,91,85,93,29])).
% 2.92/3.00 cnf(1365,plain,
% 2.92/3.00 (~P10(f19(a1,a12),f6(a12),f22(a1))),
% 2.92/3.00 inference(scs_inference,[],[64,60,1345,1149,842,1251,1001,1317,472,1198,1226,164,806,306,203,823,160,1348,304,13,10,4,16,14,12,9,5,105,108,110,92,91,85,93,29,20])).
% 2.92/3.00 cnf(1367,plain,
% 2.92/3.00 (P7(x13671,f21(x13671))),
% 2.92/3.00 inference(rename_variables,[],[160])).
% 2.92/3.00 cnf(1372,plain,
% 2.92/3.00 (E(f19(x13721,a12),f19(x13721,f19(a1,a12)))),
% 2.92/3.00 inference(rename_variables,[],[881])).
% 2.92/3.00 cnf(1381,plain,
% 2.92/3.00 (~P10(f22(a1),a12,f16(a1))),
% 2.92/3.00 inference(scs_inference,[],[57,64,60,1345,1149,1296,1215,842,1173,886,1251,1039,1001,1317,472,1198,1145,1226,164,688,885,881,1372,806,306,203,823,160,1348,1352,1367,304,13,10,4,16,14,12,9,5,105,108,110,92,91,85,93,29,20,24,34,22,21,25,30,3,2,102])).
% 2.92/3.00 cnf(1405,plain,
% 2.92/3.00 (P7(f6(x14051),f21(x14051))),
% 2.92/3.00 inference(rename_variables,[],[60])).
% 2.92/3.00 cnf(1416,plain,
% 2.92/3.00 (E(f6(x14161),a14)),
% 2.92/3.00 inference(rename_variables,[],[412])).
% 2.92/3.00 cnf(1423,plain,
% 2.92/3.00 ($false),
% 2.92/3.00 inference(scs_inference,[],[64,60,1405,1350,1363,1249,960,1282,1280,1365,945,1347,1381,264,1123,183,460,693,207,412,1416,203,160,304,46,45,61,83,103,105,108,110,85,29,20,24,34,22,21]),
% 2.92/3.00 ['proof']).
% 2.92/3.00 % SZS output end Proof
% 2.92/3.00 % Total time :2.330000s
%------------------------------------------------------------------------------