TSTP Solution File: SEU317+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 16:19:12 EDT 2023
% Result : Theorem 171.69s 171.76s
% Output : CNFRefutation 171.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.30 % Computer : n032.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Wed Aug 23 12:16:41 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.15/0.47 start to proof:theBenchmark
% 171.69/171.74 %-------------------------------------------
% 171.69/171.74 % File :CSE---1.6
% 171.69/171.74 % Problem :theBenchmark
% 171.69/171.74 % Transform :cnf
% 171.69/171.74 % Format :tptp:raw
% 171.69/171.74 % Command :java -jar mcs_scs.jar %d %s
% 171.69/171.74
% 171.69/171.74 % Result :Theorem 171.200000s
% 171.69/171.74 % Output :CNFRefutation 171.200000s
% 171.69/171.74 %-------------------------------------------
% 171.69/171.75 %------------------------------------------------------------------------------
% 171.69/171.75 % File : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 171.69/171.75 % Domain : Set theory
% 171.69/171.75 % Problem : MPTP bushy problem t48_pre_topc
% 171.69/171.75 % Version : [Urb07] axioms : Especial.
% 171.69/171.75 % English :
% 171.69/171.75
% 171.69/171.75 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 171.69/171.75 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 171.69/171.75 % Source : [Urb07]
% 171.69/171.75 % Names : bushy-t48_pre_topc [Urb07]
% 171.69/171.75
% 171.69/171.75 % Status : Theorem
% 171.69/171.75 % Rating : 0.36 v8.1.0, 0.31 v7.4.0, 0.30 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.33 v6.2.0, 0.36 v6.1.0, 0.47 v6.0.0, 0.48 v5.5.0, 0.59 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.45 v5.1.0, 0.48 v5.0.0, 0.50 v4.1.0, 0.48 v4.0.0, 0.50 v3.5.0, 0.53 v3.4.0, 0.58 v3.3.0
% 171.69/171.75 % Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% 171.69/171.75 % Number of atoms : 132 ( 2 equ)
% 171.69/171.75 % Maximal formula atoms : 8 ( 3 avg)
% 171.69/171.75 % Number of connectives : 98 ( 9 ~; 1 |; 44 &)
% 171.69/171.75 % ( 3 <=>; 41 =>; 0 <=; 0 <~>)
% 171.69/171.75 % Maximal formula depth : 12 ( 5 avg)
% 171.69/171.75 % Maximal term depth : 3 ( 1 avg)
% 171.69/171.75 % Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% 171.69/171.75 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 171.69/171.75 % Number of variables : 68 ( 62 !; 6 ?)
% 171.69/171.75 % SPC : FOF_THM_RFO_SEQ
% 171.69/171.75
% 171.69/171.75 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 171.69/171.75 % library, www.mizar.org
% 171.69/171.75 %------------------------------------------------------------------------------
% 171.69/171.75 fof(antisymmetry_r2_hidden,axiom,
% 171.69/171.75 ! [A,B] :
% 171.69/171.75 ( in(A,B)
% 171.69/171.75 => ~ in(B,A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc10_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v1_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,A)
% 171.69/171.75 => v1_xcmplx_0(B) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc11_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v2_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,A)
% 171.69/171.75 => ( v1_xcmplx_0(B)
% 171.69/171.75 & v1_xreal_0(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc12_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v3_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,A)
% 171.69/171.75 => ( v1_xcmplx_0(B)
% 171.69/171.75 & v1_xreal_0(B)
% 171.69/171.75 & v1_rat_1(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc13_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v4_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,A)
% 171.69/171.75 => ( v1_xcmplx_0(B)
% 171.69/171.75 & v1_xreal_0(B)
% 171.69/171.75 & v1_int_1(B)
% 171.69/171.75 & v1_rat_1(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc14_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v5_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,A)
% 171.69/171.75 => ( v1_xcmplx_0(B)
% 171.69/171.75 & natural(B)
% 171.69/171.75 & v1_xreal_0(B)
% 171.69/171.75 & v1_int_1(B)
% 171.69/171.75 & v1_rat_1(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc15_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( empty(A)
% 171.69/171.75 => ( v1_membered(A)
% 171.69/171.75 & v2_membered(A)
% 171.69/171.75 & v3_membered(A)
% 171.69/171.75 & v4_membered(A)
% 171.69/171.75 & v5_membered(A) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc16_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v1_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,powerset(A))
% 171.69/171.75 => v1_membered(B) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc17_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v2_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,powerset(A))
% 171.69/171.75 => ( v1_membered(B)
% 171.69/171.75 & v2_membered(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc18_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v3_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,powerset(A))
% 171.69/171.75 => ( v1_membered(B)
% 171.69/171.75 & v2_membered(B)
% 171.69/171.75 & v3_membered(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc19_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v4_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,powerset(A))
% 171.69/171.75 => ( v1_membered(B)
% 171.69/171.75 & v2_membered(B)
% 171.69/171.75 & v3_membered(B)
% 171.69/171.75 & v4_membered(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc1_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v5_membered(A)
% 171.69/171.75 => v4_membered(A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc20_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v5_membered(A)
% 171.69/171.75 => ! [B] :
% 171.69/171.75 ( element(B,powerset(A))
% 171.69/171.75 => ( v1_membered(B)
% 171.69/171.75 & v2_membered(B)
% 171.69/171.75 & v3_membered(B)
% 171.69/171.75 & v4_membered(B)
% 171.69/171.75 & v5_membered(B) ) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc2_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v4_membered(A)
% 171.69/171.75 => v3_membered(A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc3_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v3_membered(A)
% 171.69/171.75 => v2_membered(A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(cc4_membered,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( v2_membered(A)
% 171.69/171.75 => v1_membered(A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(d3_tarski,axiom,
% 171.69/171.75 ! [A,B] :
% 171.69/171.75 ( subset(A,B)
% 171.69/171.75 <=> ! [C] :
% 171.69/171.75 ( in(C,A)
% 171.69/171.75 => in(C,B) ) ) ).
% 171.69/171.75
% 171.69/171.75 fof(dt_k1_xboole_0,axiom,
% 171.69/171.75 $true ).
% 171.69/171.75
% 171.69/171.75 fof(dt_k1_zfmisc_1,axiom,
% 171.69/171.75 $true ).
% 171.69/171.75
% 171.69/171.75 fof(dt_k6_pre_topc,axiom,
% 171.69/171.75 ! [A,B] :
% 171.69/171.75 ( ( top_str(A)
% 171.69/171.75 & element(B,powerset(the_carrier(A))) )
% 171.69/171.75 => element(topstr_closure(A,B),powerset(the_carrier(A))) ) ).
% 171.69/171.75
% 171.69/171.75 fof(dt_l1_pre_topc,axiom,
% 171.69/171.75 ! [A] :
% 171.69/171.75 ( top_str(A)
% 171.69/171.75 => one_sorted_str(A) ) ).
% 171.69/171.75
% 171.69/171.75 fof(dt_l1_struct_0,axiom,
% 171.69/171.75 $true ).
% 171.69/171.76
% 171.69/171.76 fof(dt_m1_subset_1,axiom,
% 171.69/171.76 $true ).
% 171.69/171.76
% 171.69/171.76 fof(dt_u1_struct_0,axiom,
% 171.69/171.76 $true ).
% 171.69/171.76
% 171.69/171.76 fof(existence_l1_pre_topc,axiom,
% 171.69/171.76 ? [A] : top_str(A) ).
% 171.69/171.76
% 171.69/171.76 fof(existence_l1_struct_0,axiom,
% 171.69/171.76 ? [A] : one_sorted_str(A) ).
% 171.69/171.76
% 171.69/171.76 fof(existence_m1_subset_1,axiom,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ? [B] : element(B,A) ).
% 171.69/171.76
% 171.69/171.76 fof(fc1_subset_1,axiom,
% 171.69/171.76 ! [A] : ~ empty(powerset(A)) ).
% 171.69/171.76
% 171.69/171.76 fof(fc6_membered,axiom,
% 171.69/171.76 ( empty(empty_set)
% 171.69/171.76 & v1_membered(empty_set)
% 171.69/171.76 & v2_membered(empty_set)
% 171.69/171.76 & v3_membered(empty_set)
% 171.69/171.76 & v4_membered(empty_set)
% 171.69/171.76 & v5_membered(empty_set) ) ).
% 171.69/171.76
% 171.69/171.76 fof(rc1_membered,axiom,
% 171.69/171.76 ? [A] :
% 171.69/171.76 ( ~ empty(A)
% 171.69/171.76 & v1_membered(A)
% 171.69/171.76 & v2_membered(A)
% 171.69/171.76 & v3_membered(A)
% 171.69/171.76 & v4_membered(A)
% 171.69/171.76 & v5_membered(A) ) ).
% 171.69/171.76
% 171.69/171.76 fof(rc1_subset_1,axiom,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ( ~ empty(A)
% 171.69/171.76 => ? [B] :
% 171.69/171.76 ( element(B,powerset(A))
% 171.69/171.76 & ~ empty(B) ) ) ).
% 171.69/171.76
% 171.69/171.76 fof(rc2_subset_1,axiom,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ? [B] :
% 171.69/171.76 ( element(B,powerset(A))
% 171.69/171.76 & empty(B) ) ).
% 171.69/171.76
% 171.69/171.76 fof(reflexivity_r1_tarski,axiom,
% 171.69/171.76 ! [A,B] : subset(A,A) ).
% 171.69/171.76
% 171.69/171.76 fof(t1_subset,axiom,
% 171.69/171.76 ! [A,B] :
% 171.69/171.76 ( in(A,B)
% 171.69/171.76 => element(A,B) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t2_subset,axiom,
% 171.69/171.76 ! [A,B] :
% 171.69/171.76 ( element(A,B)
% 171.69/171.76 => ( empty(B)
% 171.69/171.76 | in(A,B) ) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t3_subset,axiom,
% 171.69/171.76 ! [A,B] :
% 171.69/171.76 ( element(A,powerset(B))
% 171.69/171.76 <=> subset(A,B) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t45_pre_topc,axiom,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ( top_str(A)
% 171.69/171.76 => ! [B] :
% 171.69/171.76 ( element(B,powerset(the_carrier(A)))
% 171.69/171.76 => ! [C] :
% 171.69/171.76 ( in(C,the_carrier(A))
% 171.69/171.76 => ( in(C,topstr_closure(A,B))
% 171.69/171.76 <=> ! [D] :
% 171.69/171.76 ( element(D,powerset(the_carrier(A)))
% 171.69/171.76 => ( ( closed_subset(D,A)
% 171.69/171.76 & subset(B,D) )
% 171.69/171.76 => in(C,D) ) ) ) ) ) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t48_pre_topc,conjecture,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ( top_str(A)
% 171.69/171.76 => ! [B] :
% 171.69/171.76 ( element(B,powerset(the_carrier(A)))
% 171.69/171.76 => subset(B,topstr_closure(A,B)) ) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t4_subset,axiom,
% 171.69/171.76 ! [A,B,C] :
% 171.69/171.76 ( ( in(A,B)
% 171.69/171.76 & element(B,powerset(C)) )
% 171.69/171.76 => element(A,C) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t5_subset,axiom,
% 171.69/171.76 ! [A,B,C] :
% 171.69/171.76 ~ ( in(A,B)
% 171.69/171.76 & element(B,powerset(C))
% 171.69/171.76 & empty(C) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t6_boole,axiom,
% 171.69/171.76 ! [A] :
% 171.69/171.76 ( empty(A)
% 171.69/171.76 => A = empty_set ) ).
% 171.69/171.76
% 171.69/171.76 fof(t7_boole,axiom,
% 171.69/171.76 ! [A,B] :
% 171.69/171.76 ~ ( in(A,B)
% 171.69/171.76 & empty(B) ) ).
% 171.69/171.76
% 171.69/171.76 fof(t8_boole,axiom,
% 171.69/171.76 ! [A,B] :
% 171.69/171.76 ~ ( empty(A)
% 171.69/171.76 & A != B
% 171.69/171.76 & empty(B) ) ).
% 171.69/171.76
% 171.69/171.76 %------------------------------------------------------------------------------
% 171.69/171.76 %-------------------------------------------
% 171.69/171.76 % Proof found
% 171.69/171.76 % SZS status Theorem for theBenchmark
% 171.69/171.76 % SZS output start Proof
% 171.69/171.76 %ClaNum:119(EqnAxiom:36)
% 171.69/171.76 %VarNum:280(SingletonVarNum:123)
% 171.69/171.76 %MaxLitNum:8
% 171.69/171.76 %MaxfuncDepth:2
% 171.69/171.76 %SharedTerms:26
% 171.69/171.76 %goalClause: 49 54 58
% 171.69/171.76 %singleGoalClaCount:3
% 171.69/171.76 [37]P1(a1)
% 171.69/171.76 [38]P1(a2)
% 171.69/171.76 [39]P11(a1)
% 171.69/171.76 [40]P11(a2)
% 171.69/171.76 [41]P15(a1)
% 171.69/171.76 [42]P15(a2)
% 171.69/171.76 [43]P16(a1)
% 171.69/171.76 [44]P16(a2)
% 171.69/171.76 [45]P17(a1)
% 171.69/171.76 [46]P17(a2)
% 171.69/171.76 [47]P2(a1)
% 171.69/171.76 [48]P5(a3)
% 171.69/171.76 [49]P5(a8)
% 171.69/171.76 [50]P6(a6)
% 171.69/171.76 [56]~P2(a2)
% 171.69/171.76 [58]~P9(a4,f14(a8,a4))
% 171.69/171.76 [54]P3(a4,f13(f12(a8)))
% 171.69/171.76 [52]P9(x521,x521)
% 171.69/171.76 [51]P2(f9(x511))
% 171.69/171.76 [53]P3(f7(x531),x531)
% 171.69/171.76 [55]P3(f9(x551),f13(x551))
% 171.69/171.76 [57]~P2(f13(x571))
% 171.69/171.76 [59]~P2(x591)+E(x591,a1)
% 171.69/171.76 [60]~P11(x601)+P1(x601)
% 171.69/171.76 [61]~P2(x611)+P1(x611)
% 171.69/171.76 [62]~P15(x621)+P11(x621)
% 171.69/171.76 [63]~P2(x631)+P11(x631)
% 171.69/171.76 [64]~P16(x641)+P15(x641)
% 171.69/171.76 [65]~P2(x651)+P15(x651)
% 171.69/171.76 [66]~P17(x661)+P16(x661)
% 171.69/171.76 [67]~P2(x671)+P16(x671)
% 171.69/171.76 [68]~P2(x681)+P17(x681)
% 171.69/171.76 [69]~P5(x691)+P6(x691)
% 171.69/171.76 [71]P2(x711)+~P2(f10(x711))
% 171.69/171.76 [73]P2(x731)+P3(f10(x731),f13(x731))
% 171.69/171.76 [72]~P2(x721)+~P7(x722,x721)
% 171.69/171.76 [89]~P7(x891,x892)+P3(x891,x892)
% 171.69/171.76 [107]~P7(x1072,x1071)+~P7(x1071,x1072)
% 171.69/171.76 [91]~P9(x911,x912)+P3(x911,f13(x912))
% 171.69/171.76 [108]P9(x1081,x1082)+~P3(x1081,f13(x1082))
% 171.69/171.76 [109]P9(x1091,x1092)+P7(f5(x1091,x1092),x1091)
% 171.69/171.76 [113]P9(x1131,x1132)+~P7(f5(x1131,x1132),x1132)
% 171.69/171.76 [70]~P2(x702)+~P2(x701)+E(x701,x702)
% 171.69/171.76 [74]~P3(x741,x742)+P12(x741)+~P1(x742)
% 171.69/171.76 [75]~P3(x751,x752)+P12(x751)+~P11(x752)
% 171.69/171.76 [76]~P3(x761,x762)+P12(x761)+~P15(x762)
% 171.69/171.76 [77]~P3(x771,x772)+P12(x771)+~P16(x772)
% 171.69/171.76 [78]~P3(x781,x782)+P12(x781)+~P17(x782)
% 171.69/171.76 [79]~P3(x791,x792)+P14(x791)+~P11(x792)
% 171.69/171.76 [80]~P3(x801,x802)+P14(x801)+~P15(x802)
% 171.69/171.76 [81]~P3(x811,x812)+P14(x811)+~P16(x812)
% 171.69/171.76 [82]~P3(x821,x822)+P14(x821)+~P17(x822)
% 171.69/171.76 [83]~P3(x831,x832)+P13(x831)+~P15(x832)
% 171.69/171.76 [84]~P3(x841,x842)+P13(x841)+~P16(x842)
% 171.69/171.76 [85]~P3(x851,x852)+P13(x851)+~P17(x852)
% 171.69/171.76 [86]~P3(x861,x862)+P10(x861)+~P16(x862)
% 171.69/171.76 [87]~P3(x871,x872)+P10(x871)+~P17(x872)
% 171.69/171.76 [88]~P3(x881,x882)+P8(x881)+~P17(x882)
% 171.69/171.76 [90]~P3(x902,x901)+P2(x901)+P7(x902,x901)
% 171.69/171.76 [92]P1(x921)+~P1(x922)+~P3(x921,f13(x922))
% 171.69/171.76 [93]P1(x931)+~P11(x932)+~P3(x931,f13(x932))
% 171.69/171.76 [94]P1(x941)+~P15(x942)+~P3(x941,f13(x942))
% 171.69/171.76 [95]P1(x951)+~P16(x952)+~P3(x951,f13(x952))
% 171.69/171.76 [96]P1(x961)+~P17(x962)+~P3(x961,f13(x962))
% 171.69/171.76 [97]P11(x971)+~P11(x972)+~P3(x971,f13(x972))
% 171.69/171.76 [98]P11(x981)+~P15(x982)+~P3(x981,f13(x982))
% 171.69/171.76 [99]P11(x991)+~P16(x992)+~P3(x991,f13(x992))
% 171.69/171.76 [100]P11(x1001)+~P17(x1002)+~P3(x1001,f13(x1002))
% 171.69/171.76 [101]P15(x1011)+~P15(x1012)+~P3(x1011,f13(x1012))
% 171.69/171.76 [102]P15(x1021)+~P16(x1022)+~P3(x1021,f13(x1022))
% 171.69/171.76 [103]P15(x1031)+~P17(x1032)+~P3(x1031,f13(x1032))
% 171.69/171.76 [104]P16(x1041)+~P16(x1042)+~P3(x1041,f13(x1042))
% 171.69/171.76 [105]P16(x1051)+~P17(x1052)+~P3(x1051,f13(x1052))
% 171.69/171.76 [106]P17(x1061)+~P17(x1062)+~P3(x1061,f13(x1062))
% 171.69/171.76 [114]~P5(x1141)+~P3(x1142,f13(f12(x1141)))+P3(f14(x1141,x1142),f13(f12(x1141)))
% 171.69/171.76 [110]~P9(x1103,x1102)+P7(x1101,x1102)+~P7(x1101,x1103)
% 171.69/171.76 [111]~P2(x1111)+~P7(x1112,x1113)+~P3(x1113,f13(x1111))
% 171.69/171.76 [112]P3(x1121,x1122)+~P7(x1121,x1123)+~P3(x1123,f13(x1122))
% 171.69/171.76 [115]~P5(x1152)+P9(x1153,f11(x1152,x1153,x1151))+~P7(x1151,f12(x1152))+P7(x1151,f14(x1152,x1153))+~P3(x1153,f13(f12(x1152)))
% 171.69/171.76 [116]~P5(x1162)+P4(f11(x1162,x1163,x1161),x1162)+~P7(x1161,f12(x1162))+P7(x1161,f14(x1162,x1163))+~P3(x1163,f13(f12(x1162)))
% 171.69/171.76 [118]~P5(x1182)+~P7(x1181,f12(x1182))+P7(x1181,f14(x1182,x1183))+P3(f11(x1182,x1183,x1181),f13(f12(x1182)))+~P3(x1183,f13(f12(x1182)))
% 171.69/171.76 [119]~P5(x1192)+~P7(x1191,f12(x1192))+~P7(x1191,f11(x1192,x1193,x1191))+P7(x1191,f14(x1192,x1193))+~P3(x1193,f13(f12(x1192)))
% 171.69/171.76 [117]~P4(x1172,x1173)+P7(x1171,x1172)+~P9(x1174,x1172)+~P5(x1173)+~P7(x1171,f12(x1173))+~P7(x1171,f14(x1173,x1174))+~P3(x1172,f13(f12(x1173)))+~P3(x1174,f13(f12(x1173)))
% 171.69/171.76 %EqnAxiom
% 171.69/171.76 [1]E(x11,x11)
% 171.69/171.76 [2]E(x22,x21)+~E(x21,x22)
% 171.69/171.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 171.69/171.76 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 171.69/171.76 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 171.69/171.76 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 171.69/171.76 [7]~E(x71,x72)+E(f13(x71),f13(x72))
% 171.69/171.76 [8]~E(x81,x82)+E(f11(x81,x83,x84),f11(x82,x83,x84))
% 171.69/171.76 [9]~E(x91,x92)+E(f11(x93,x91,x94),f11(x93,x92,x94))
% 171.69/171.76 [10]~E(x101,x102)+E(f11(x103,x104,x101),f11(x103,x104,x102))
% 171.69/171.76 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 171.69/171.76 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 171.69/171.76 [13]~E(x131,x132)+E(f5(x131,x133),f5(x132,x133))
% 171.69/171.76 [14]~E(x141,x142)+E(f5(x143,x141),f5(x143,x142))
% 171.69/171.76 [15]~E(x151,x152)+E(f10(x151),f10(x152))
% 171.69/171.76 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 171.69/171.76 [17]P7(x172,x173)+~E(x171,x172)+~P7(x171,x173)
% 171.69/171.76 [18]P7(x183,x182)+~E(x181,x182)+~P7(x183,x181)
% 171.69/171.76 [19]~P11(x191)+P11(x192)+~E(x191,x192)
% 171.69/171.76 [20]P9(x202,x203)+~E(x201,x202)+~P9(x201,x203)
% 171.69/171.76 [21]P9(x213,x212)+~E(x211,x212)+~P9(x213,x211)
% 171.69/171.76 [22]~P15(x221)+P15(x222)+~E(x221,x222)
% 171.69/171.76 [23]~P17(x231)+P17(x232)+~E(x231,x232)
% 171.69/171.76 [24]~P16(x241)+P16(x242)+~E(x241,x242)
% 171.69/171.76 [25]P3(x252,x253)+~E(x251,x252)+~P3(x251,x253)
% 171.69/171.76 [26]P3(x263,x262)+~E(x261,x262)+~P3(x263,x261)
% 171.69/171.76 [27]P4(x272,x273)+~E(x271,x272)+~P4(x271,x273)
% 171.69/171.76 [28]P4(x283,x282)+~E(x281,x282)+~P4(x283,x281)
% 171.69/171.76 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 171.69/171.76 [30]~P5(x301)+P5(x302)+~E(x301,x302)
% 171.69/171.76 [31]~P14(x311)+P14(x312)+~E(x311,x312)
% 171.69/171.76 [32]~P12(x321)+P12(x322)+~E(x321,x322)
% 171.69/171.76 [33]~P6(x331)+P6(x332)+~E(x331,x332)
% 171.69/171.76 [34]~P13(x341)+P13(x342)+~E(x341,x342)
% 171.69/171.76 [35]~P10(x351)+P10(x352)+~E(x351,x352)
% 171.69/171.76 [36]~P8(x361)+P8(x362)+~E(x361,x362)
% 171.69/171.76
% 171.69/171.76 %-------------------------------------------
% 171.69/171.79 cnf(120,plain,
% 171.69/171.79 (~P7(x1201,a1)),
% 171.69/171.79 inference(scs_inference,[],[47,72])).
% 171.69/171.79 cnf(121,plain,
% 171.69/171.79 (P9(a4,f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[47,54,72,108])).
% 171.69/171.79 cnf(122,plain,
% 171.69/171.79 (P9(a1,x1221)),
% 171.69/171.79 inference(scs_inference,[],[47,54,72,108,109])).
% 171.69/171.79 cnf(125,plain,
% 171.69/171.79 (P9(x1251,x1251)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(127,plain,
% 171.69/171.79 (P9(x1271,x1271)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(128,plain,
% 171.69/171.79 (P7(f7(a2),a2)),
% 171.69/171.79 inference(scs_inference,[],[52,125,47,56,58,54,53,72,108,109,21,20,90])).
% 171.69/171.79 cnf(129,plain,
% 171.69/171.79 (P3(f7(x1291),x1291)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(131,plain,
% 171.69/171.79 (~P7(x1311,f7(f13(a1)))),
% 171.69/171.79 inference(scs_inference,[],[52,125,47,56,58,54,53,129,72,108,109,21,20,90,111])).
% 171.69/171.79 cnf(132,plain,
% 171.69/171.79 (P3(f7(x1321),x1321)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(135,plain,
% 171.69/171.79 (P3(f7(x1351),x1351)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(137,plain,
% 171.69/171.79 (P16(f7(f13(a1)))),
% 171.69/171.79 inference(scs_inference,[],[52,125,45,47,56,58,54,53,129,132,135,72,108,109,21,20,90,111,106,105])).
% 171.69/171.79 cnf(138,plain,
% 171.69/171.79 (P3(f7(x1381),x1381)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(141,plain,
% 171.69/171.79 (P3(f9(x1411),f13(x1411))),
% 171.69/171.79 inference(rename_variables,[],[55])).
% 171.69/171.79 cnf(144,plain,
% 171.69/171.79 (P3(f7(x1441),x1441)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(147,plain,
% 171.69/171.79 (P3(f9(x1471),f13(x1471))),
% 171.69/171.79 inference(rename_variables,[],[55])).
% 171.69/171.79 cnf(150,plain,
% 171.69/171.79 (P3(f7(x1501),x1501)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(153,plain,
% 171.69/171.79 (P3(f9(x1531),f13(x1531))),
% 171.69/171.79 inference(rename_variables,[],[55])).
% 171.69/171.79 cnf(156,plain,
% 171.69/171.79 (P3(f7(x1561),x1561)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(161,plain,
% 171.69/171.79 (~P7(a2,f7(a2))),
% 171.69/171.79 inference(scs_inference,[],[52,125,43,45,47,56,58,54,53,129,132,135,138,144,150,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107])).
% 171.69/171.79 cnf(165,plain,
% 171.69/171.79 (P17(f9(x1651))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68])).
% 171.69/171.79 cnf(167,plain,
% 171.69/171.79 (P16(f9(x1671))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67])).
% 171.69/171.79 cnf(169,plain,
% 171.69/171.79 (P15(f9(x1691))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65])).
% 171.69/171.79 cnf(175,plain,
% 171.69/171.79 (E(f9(x1751),a1)),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59])).
% 171.69/171.79 cnf(177,plain,
% 171.69/171.79 (P3(x1771,f13(x1771))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91])).
% 171.69/171.79 cnf(179,plain,
% 171.69/171.79 (~P2(f10(a2))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71])).
% 171.69/171.79 cnf(181,plain,
% 171.69/171.79 (E(f10(f9(x1811)),f10(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15])).
% 171.69/171.79 cnf(182,plain,
% 171.69/171.79 (E(f5(x1821,f9(x1822)),f5(x1821,a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14])).
% 171.69/171.79 cnf(183,plain,
% 171.69/171.79 (E(f5(f9(x1831),x1832),f5(a1,x1832))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13])).
% 171.69/171.79 cnf(184,plain,
% 171.69/171.79 (E(f14(x1841,f9(x1842)),f14(x1841,a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12])).
% 171.69/171.79 cnf(185,plain,
% 171.69/171.79 (E(f14(f9(x1851),x1852),f14(a1,x1852))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11])).
% 171.69/171.79 cnf(186,plain,
% 171.69/171.79 (E(f11(x1861,x1862,f9(x1863)),f11(x1861,x1862,a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10])).
% 171.69/171.79 cnf(187,plain,
% 171.69/171.79 (E(f11(x1871,f9(x1872),x1873),f11(x1871,a1,x1873))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9])).
% 171.69/171.79 cnf(188,plain,
% 171.69/171.79 (E(f11(f9(x1881),x1882,x1883),f11(a1,x1882,x1883))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8])).
% 171.69/171.79 cnf(189,plain,
% 171.69/171.79 (E(f13(f9(x1891)),f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7])).
% 171.69/171.79 cnf(190,plain,
% 171.69/171.79 (E(f12(f9(x1901)),f12(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6])).
% 171.69/171.79 cnf(191,plain,
% 171.69/171.79 (E(f7(f9(x1911)),f7(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5])).
% 171.69/171.79 cnf(192,plain,
% 171.69/171.79 (E(f9(f9(x1921)),f9(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4])).
% 171.69/171.79 cnf(193,plain,
% 171.69/171.79 (~P7(f5(a4,f14(a8,a4)),f14(a8,a4))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113])).
% 171.69/171.79 cnf(195,plain,
% 171.69/171.79 (P3(f10(a2),f13(a2))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73])).
% 171.69/171.79 cnf(198,plain,
% 171.69/171.79 (~E(a1,a2)),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29])).
% 171.69/171.79 cnf(200,plain,
% 171.69/171.79 (P8(f7(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88])).
% 171.69/171.79 cnf(202,plain,
% 171.69/171.79 (P10(f7(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88,87])).
% 171.69/171.79 cnf(204,plain,
% 171.69/171.79 (P13(f7(a1))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88,87,85])).
% 171.69/171.79 cnf(210,plain,
% 171.69/171.79 (P3(f14(a8,a4),f13(f12(a8)))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88,87,85,82,78,114])).
% 171.69/171.79 cnf(212,plain,
% 171.69/171.79 (E(a1,f9(x2121))),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88,87,85,82,78,114,2])).
% 171.69/171.79 cnf(215,plain,
% 171.69/171.79 (~P3(x2151,f9(x2152))+P3(x2151,a1)+P4(a1,a1)),
% 171.69/171.79 inference(scs_inference,[],[49,52,125,127,43,45,47,50,56,58,54,53,129,132,135,138,144,150,156,51,55,141,147,153,72,108,109,21,20,90,111,106,105,104,103,102,100,99,96,95,107,69,68,67,65,63,61,59,91,71,15,14,13,12,11,10,9,8,7,6,5,4,113,73,33,29,18,88,87,85,82,78,114,2,28,27,26])).
% 171.69/171.79 cnf(235,plain,
% 171.69/171.79 (P3(f7(x2351),x2351)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(237,plain,
% 171.69/171.79 (P15(f7(f13(a2)))),
% 171.69/171.79 inference(scs_inference,[],[42,44,53,235,77,101])).
% 171.69/171.79 cnf(238,plain,
% 171.69/171.79 (P3(f7(x2381),x2381)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(241,plain,
% 171.69/171.79 (P3(f7(x2411),x2411)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(243,plain,
% 171.69/171.79 (P1(f7(f13(a2)))),
% 171.69/171.79 inference(scs_inference,[],[42,44,53,235,238,241,77,101,98,94])).
% 171.69/171.79 cnf(244,plain,
% 171.69/171.79 (P3(f7(x2441),x2441)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(247,plain,
% 171.69/171.79 (P3(f7(x2471),x2471)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(249,plain,
% 171.69/171.79 (P10(f7(a2))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,77,101,98,94,88,86])).
% 171.69/171.79 cnf(250,plain,
% 171.69/171.79 (P3(f7(x2501),x2501)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(252,plain,
% 171.69/171.79 (P14(f7(a2))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,77,101,98,94,88,86,82])).
% 171.69/171.79 cnf(253,plain,
% 171.69/171.79 (P3(f7(x2531),x2531)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(256,plain,
% 171.69/171.79 (P3(f7(x2561),x2561)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(258,plain,
% 171.69/171.79 (~P3(a4,f13(f14(a8,a4)))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,58,167,77,101,98,94,88,86,82,81,108])).
% 171.69/171.79 cnf(260,plain,
% 171.69/171.79 (~E(a1,f10(a2))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,47,58,167,179,77,101,98,94,88,86,82,81,108,29])).
% 171.69/171.79 cnf(261,plain,
% 171.69/171.79 (P2(f7(f13(a1)))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,47,58,167,131,179,77,101,98,94,88,86,82,81,108,29,90])).
% 171.69/171.79 cnf(263,plain,
% 171.69/171.79 (P7(f5(a4,f14(a8,a4)),a4)),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,47,58,167,131,179,77,101,98,94,88,86,82,81,108,29,90,109])).
% 171.69/171.79 cnf(265,plain,
% 171.69/171.79 (~P7(x2651,f9(x2652))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,47,58,167,131,120,175,179,77,101,98,94,88,86,82,81,108,29,90,109,18])).
% 171.69/171.79 cnf(266,plain,
% 171.69/171.79 (~P3(a2,f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,47,58,167,131,120,175,179,128,77,101,98,94,88,86,82,81,108,29,90,109,18,111])).
% 171.69/171.79 cnf(268,plain,
% 171.69/171.79 (~P2(a4)),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,47,58,167,131,120,175,179,128,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72])).
% 171.69/171.79 cnf(271,plain,
% 171.69/171.79 (P3(f9(x2711),f13(x2711))),
% 171.69/171.79 inference(rename_variables,[],[55])).
% 171.69/171.79 cnf(274,plain,
% 171.69/171.79 (E(f11(x2741,f9(x2742),f9(x2743)),f11(x2741,a1,a1))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,167,186,187,131,189,120,175,179,128,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3])).
% 171.69/171.79 cnf(275,plain,
% 171.69/171.79 (E(f11(x2751,x2752,f9(x2753)),f11(x2751,x2752,a1))),
% 171.69/171.79 inference(rename_variables,[],[186])).
% 171.69/171.79 cnf(278,plain,
% 171.69/171.79 (~E(f7(a1),x2781)+P8(x2781)),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,167,186,187,131,189,120,175,179,200,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36])).
% 171.69/171.79 cnf(281,plain,
% 171.69/171.79 (~P7(a4,f13(f14(a8,a4)))),
% 171.69/171.79 inference(scs_inference,[],[42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,187,131,189,120,175,179,200,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89])).
% 171.69/171.79 cnf(283,plain,
% 171.69/171.79 (P11(f10(a2))),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,187,131,189,120,175,179,195,200,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97])).
% 171.69/171.79 cnf(287,plain,
% 171.69/171.79 (~P7(a4,f5(a4,f14(a8,a4)))),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,187,131,189,120,175,179,195,200,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97,93,107])).
% 171.69/171.79 cnf(289,plain,
% 171.69/171.79 (P7(f5(a4,f14(a8,a4)),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,187,131,189,120,175,179,195,200,121,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97,93,107,110])).
% 171.69/171.79 cnf(291,plain,
% 171.69/171.79 (~P9(a2,a1)),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,187,131,189,120,175,179,195,200,121,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97,93,107,110,91])).
% 171.69/171.79 cnf(293,plain,
% 171.69/171.79 (P9(f11(x2931,x2932,a1),f11(x2931,x2932,f9(x2933)))),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,52,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,275,187,131,189,120,175,179,195,200,121,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97,93,107,110,91,20])).
% 171.69/171.79 cnf(294,plain,
% 171.69/171.79 (P9(x2941,x2941)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(295,plain,
% 171.69/171.79 (P9(f11(x2951,x2952,f9(x2953)),f11(x2951,x2952,a1))),
% 171.69/171.79 inference(scs_inference,[],[40,42,44,46,52,294,53,235,238,241,244,247,250,253,256,55,271,47,58,54,167,186,275,187,131,189,120,175,179,195,200,121,128,198,77,101,98,94,88,86,82,81,108,29,90,109,18,111,72,26,25,3,2,36,112,89,97,93,107,110,91,20,21])).
% 171.69/171.79 cnf(304,plain,
% 171.69/171.79 (P17(f7(f13(a2)))),
% 171.69/171.79 inference(scs_inference,[],[53,46,106])).
% 171.69/171.79 cnf(305,plain,
% 171.69/171.79 (P3(f7(x3051),x3051)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(307,plain,
% 171.69/171.79 (P16(f7(f13(a2)))),
% 171.69/171.79 inference(scs_inference,[],[53,305,46,106,105])).
% 171.69/171.79 cnf(308,plain,
% 171.69/171.79 (P3(f7(x3081),x3081)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(311,plain,
% 171.69/171.79 (P3(f7(x3111),x3111)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(314,plain,
% 171.69/171.79 (P3(f7(x3141),x3141)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(316,plain,
% 171.69/171.79 (P14(f7(f10(a2)))),
% 171.69/171.79 inference(scs_inference,[],[53,305,308,311,314,44,46,283,169,106,105,84,83,79])).
% 171.69/171.79 cnf(317,plain,
% 171.69/171.79 (P3(f7(x3171),x3171)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(320,plain,
% 171.69/171.79 (P3(f7(x3201),x3201)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(324,plain,
% 171.69/171.79 (P15(f10(a2))),
% 171.69/171.79 inference(scs_inference,[],[53,305,308,311,314,317,44,46,42,283,263,169,167,195,106,105,84,83,79,77,89,101])).
% 171.69/171.79 cnf(326,plain,
% 171.69/171.79 (~P9(f12(a8),a1)),
% 171.69/171.79 inference(scs_inference,[],[120,53,305,308,311,314,317,44,46,42,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110])).
% 171.69/171.79 cnf(327,plain,
% 171.69/171.79 (~P7(x3271,a1)),
% 171.69/171.79 inference(rename_variables,[],[120])).
% 171.69/171.79 cnf(331,plain,
% 171.69/171.79 (P9(f7(f13(x3311)),x3311)),
% 171.69/171.79 inference(scs_inference,[],[120,53,305,308,311,314,317,320,44,46,42,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108])).
% 171.69/171.79 cnf(332,plain,
% 171.69/171.79 (P3(f7(x3321),x3321)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(334,plain,
% 171.69/171.79 (P3(f11(x3341,x3342,f9(x3343)),f13(f11(x3341,x3342,a1)))),
% 171.69/171.79 inference(scs_inference,[],[120,53,305,308,311,314,317,320,44,46,42,295,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91])).
% 171.69/171.79 cnf(336,plain,
% 171.69/171.79 (~P2(f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[120,53,305,308,311,314,317,320,44,46,42,295,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72])).
% 171.69/171.79 cnf(338,plain,
% 171.69/171.79 (P7(a4,f13(f12(a8)))),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,53,305,308,311,314,317,320,44,46,42,295,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90])).
% 171.69/171.79 cnf(341,plain,
% 171.69/171.79 (P9(f9(x3411),x3412)),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,53,305,308,311,314,317,320,44,46,42,265,295,289,283,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109])).
% 171.69/171.79 cnf(343,plain,
% 171.69/171.79 (~E(f13(f12(a8)),f13(f14(a8,a4)))),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,53,305,308,311,314,317,320,44,46,42,265,295,289,283,258,263,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26])).
% 171.69/171.79 cnf(345,plain,
% 171.69/171.79 (P3(f7(x3451),x3451)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(346,plain,
% 171.69/171.79 (~E(f12(a8),a1)),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,53,305,308,311,314,317,320,332,52,44,46,42,265,295,289,283,258,263,266,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26,25,21])).
% 171.69/171.79 cnf(351,plain,
% 171.69/171.79 (E(f11(x3511,a1,a1),f11(x3511,f9(x3512),f9(x3513)))),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,327,53,305,308,311,314,317,320,332,52,44,46,42,58,265,295,274,289,122,283,258,263,260,266,212,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26,25,21,20,3,18,2])).
% 171.69/171.79 cnf(352,plain,
% 171.69/171.79 (~E(f7(a1),x3521)+P10(x3521)),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,327,53,305,308,311,314,317,320,332,52,44,46,42,58,265,295,274,289,122,202,283,258,263,260,266,212,169,167,195,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26,25,21,20,3,18,2,35])).
% 171.69/171.79 cnf(355,plain,
% 171.69/171.79 (P3(f7(x3551),x3551)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(358,plain,
% 171.69/171.79 (P12(f7(f10(a2)))),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,327,53,305,308,311,314,317,320,332,345,355,52,44,46,42,58,265,293,295,274,289,122,202,283,258,263,260,266,212,169,167,195,49,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26,25,21,20,3,18,2,35,7,215,117,76])).
% 171.69/171.79 cnf(360,plain,
% 171.69/171.79 (P12(x3601)+~P3(x3601,a2)),
% 171.69/171.79 inference(scs_inference,[],[54,57,120,327,53,305,308,311,314,317,320,332,345,355,52,40,44,46,42,58,265,293,295,274,289,122,202,283,258,263,260,266,212,169,167,195,49,106,105,84,83,79,77,89,101,110,107,108,91,72,90,109,26,25,21,20,3,18,2,35,7,215,117,76,75])).
% 171.69/171.79 cnf(371,plain,
% 171.69/171.79 (~P7(f13(f12(a8)),a4)),
% 171.69/171.79 inference(scs_inference,[],[338,266,89,107])).
% 171.69/171.79 cnf(373,plain,
% 171.69/171.79 (E(f13(a1),f13(f9(x3731)))),
% 171.69/171.79 inference(scs_inference,[],[338,266,212,89,107,7])).
% 171.69/171.79 cnf(374,plain,
% 171.69/171.79 (~P3(f12(a8),f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[338,326,266,212,89,107,7,108])).
% 171.69/171.79 cnf(376,plain,
% 171.69/171.79 (P7(f5(f12(a8),a1),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[338,326,266,212,89,107,7,108,109])).
% 171.69/171.79 cnf(378,plain,
% 171.69/171.79 (~P3(f13(f12(a8)),a4)),
% 171.69/171.79 inference(scs_inference,[],[338,326,268,266,212,89,107,7,108,109,90])).
% 171.69/171.79 cnf(380,plain,
% 171.69/171.79 (P3(f7(f11(x3801,a1,a1)),f11(x3801,f9(x3802),f9(x3803)))),
% 171.69/171.79 inference(scs_inference,[],[53,351,338,326,268,266,212,89,107,7,108,109,90,26])).
% 171.69/171.79 cnf(382,plain,
% 171.69/171.79 (P3(f11(x3821,f9(x3822),f9(x3823)),f13(f11(x3821,a1,a1)))),
% 171.69/171.79 inference(scs_inference,[],[53,351,338,326,268,177,266,212,89,107,7,108,109,90,26,25])).
% 171.69/171.79 cnf(383,plain,
% 171.69/171.79 (P3(x3831,f13(x3831))),
% 171.69/171.79 inference(rename_variables,[],[177])).
% 171.69/171.79 cnf(384,plain,
% 171.69/171.79 (E(f11(f9(x3841),a1,a1),f11(a1,f9(x3842),f9(x3843)))),
% 171.69/171.79 inference(scs_inference,[],[53,351,338,326,268,188,177,266,212,89,107,7,108,109,90,26,25,3])).
% 171.69/171.79 cnf(385,plain,
% 171.69/171.79 (E(f11(x3851,a1,a1),f11(x3851,f9(x3852),f9(x3853)))),
% 171.69/171.79 inference(rename_variables,[],[351])).
% 171.69/171.79 cnf(387,plain,
% 171.69/171.79 (P9(f11(x3871,a1,a1),f11(x3871,f9(x3872),f9(x3873)))),
% 171.69/171.79 inference(scs_inference,[],[53,52,351,385,338,326,268,188,177,266,212,89,107,7,108,109,90,26,25,3,21])).
% 171.69/171.79 cnf(388,plain,
% 171.69/171.79 (P9(x3881,x3881)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(390,plain,
% 171.69/171.79 (P9(f11(x3901,f9(x3902),f9(x3903)),f11(x3901,a1,a1))),
% 171.69/171.79 inference(scs_inference,[],[53,52,388,351,385,287,338,326,268,188,177,266,212,89,107,7,108,109,90,26,25,3,21,18,20])).
% 171.69/171.79 cnf(392,plain,
% 171.69/171.79 (~E(f13(f14(a8,a4)),f13(f12(a8)))),
% 171.69/171.79 inference(scs_inference,[],[53,52,388,351,385,343,287,338,326,268,188,177,266,212,89,107,7,108,109,90,26,25,3,21,18,20,2])).
% 171.69/171.79 cnf(395,plain,
% 171.69/171.79 (P3(f5(f12(a8),a1),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[53,52,388,351,385,343,204,287,338,326,268,188,177,383,266,212,263,89,107,7,108,109,90,26,25,3,21,18,20,2,34,17,112])).
% 171.69/171.79 cnf(402,plain,
% 171.69/171.79 (~P8(f11(x4021,a1,a1))+P8(f11(x4021,f9(x4022),f9(x4023)))),
% 171.69/171.79 inference(scs_inference,[],[54,53,52,388,351,385,343,204,287,338,326,268,188,177,383,266,212,263,89,107,7,108,109,90,26,25,3,21,18,20,2,34,17,112,76,74,36])).
% 171.69/171.79 cnf(408,plain,
% 171.69/171.79 (~P9(f13(f12(a8)),a1)),
% 171.69/171.79 inference(scs_inference,[],[54,120,53,52,388,351,385,343,204,287,338,326,268,188,177,383,266,212,263,89,107,7,108,109,90,26,25,3,21,18,20,2,34,17,112,76,74,36,75,98,33,110])).
% 171.69/171.79 cnf(413,plain,
% 171.69/171.79 (P9(f7(f13(a1)),x4131)),
% 171.69/171.79 inference(scs_inference,[],[131,109])).
% 171.69/171.79 cnf(416,plain,
% 171.69/171.79 (~P7(f12(a8),f5(f12(a8),a1))),
% 171.69/171.79 inference(scs_inference,[],[376,131,109,107])).
% 171.69/171.79 cnf(418,plain,
% 171.69/171.79 (P9(f14(a8,a4),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[210,376,131,109,107,108])).
% 171.69/171.79 cnf(421,plain,
% 171.69/171.79 (P7(f9(x4211),f13(x4211))),
% 171.69/171.79 inference(scs_inference,[],[57,55,210,392,376,131,109,107,108,7,90])).
% 171.69/171.79 cnf(422,plain,
% 171.69/171.79 (~P2(f13(x4221))),
% 171.69/171.79 inference(rename_variables,[],[57])).
% 171.69/171.79 cnf(424,plain,
% 171.69/171.79 (~E(a1,f13(x4241))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,47,210,392,376,131,109,107,108,7,90,29])).
% 171.69/171.79 cnf(425,plain,
% 171.69/171.79 (~E(f9(a1),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,47,210,392,376,374,131,109,107,108,7,90,29,25])).
% 171.69/171.79 cnf(426,plain,
% 171.69/171.79 (P3(f9(x4261),f13(x4261))),
% 171.69/171.79 inference(rename_variables,[],[55])).
% 171.69/171.79 cnf(427,plain,
% 171.69/171.79 (E(f11(f9(x4271),a1,f9(x4272)),f11(a1,f9(x4273),f9(x4274)))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,47,210,392,384,376,374,186,131,109,107,108,7,90,29,25,3])).
% 171.69/171.79 cnf(431,plain,
% 171.69/171.79 (P9(f13(a1),f13(f9(x4311)))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,426,52,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21])).
% 171.69/171.79 cnf(432,plain,
% 171.69/171.79 (P9(x4321,x4321)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(433,plain,
% 171.69/171.79 (P7(f9(a1),f13(f9(x4331)))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,426,52,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18])).
% 171.69/171.79 cnf(434,plain,
% 171.69/171.79 (P9(f13(f9(x4341)),f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18,20])).
% 171.69/171.79 cnf(436,plain,
% 171.69/171.79 (E(f11(a1,f9(x4361),f9(x4362)),f11(f9(x4363),a1,a1))),
% 171.69/171.79 inference(scs_inference,[],[57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18,20,2])).
% 171.69/171.79 cnf(438,plain,
% 171.69/171.79 (P6(a3)),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69])).
% 171.69/171.79 cnf(440,plain,
% 171.69/171.79 (~P2(f10(f13(x4401)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71])).
% 171.69/171.79 cnf(442,plain,
% 171.69/171.79 (P3(f10(f13(x4421)),f13(f13(x4421)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73])).
% 171.69/171.79 cnf(444,plain,
% 171.69/171.79 (P7(a1,f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,175,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17])).
% 171.69/171.79 cnf(446,plain,
% 171.69/171.79 (E(f10(a1),f10(f9(x4461)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15])).
% 171.69/171.79 cnf(447,plain,
% 171.69/171.79 (E(f5(a1,x4471),f5(f9(x4472),x4471))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13])).
% 171.69/171.79 cnf(448,plain,
% 171.69/171.79 (E(f14(a1,x4481),f14(f9(x4482),x4481))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11])).
% 171.69/171.79 cnf(449,plain,
% 171.69/171.79 (E(f9(a1),f9(f9(x4491)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4])).
% 171.69/171.79 cnf(450,plain,
% 171.69/171.79 (E(f7(f13(a1)),a1)),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59])).
% 171.69/171.79 cnf(453,plain,
% 171.69/171.79 (E(f5(x4531,a1),f5(x4531,f9(x4532)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14])).
% 171.69/171.79 cnf(454,plain,
% 171.69/171.79 (E(f14(x4541,a1),f14(x4541,f9(x4542)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12])).
% 171.69/171.79 cnf(455,plain,
% 171.69/171.79 (E(f11(x4551,x4552,a1),f11(x4551,x4552,f9(x4553)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12,10])).
% 171.69/171.79 cnf(456,plain,
% 171.69/171.79 (E(f11(x4561,a1,x4562),f11(x4561,f9(x4563),x4562))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12,10,9])).
% 171.69/171.79 cnf(457,plain,
% 171.69/171.79 (E(f11(a1,x4571,x4572),f11(f9(x4573),x4571,x4572))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12,10,9,8])).
% 171.69/171.79 cnf(458,plain,
% 171.69/171.79 (E(f12(a1),f12(f9(x4581)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12,10,9,8,6])).
% 171.69/171.79 cnf(459,plain,
% 171.69/171.79 (E(f7(a1),f7(f9(x4591)))),
% 171.69/171.79 inference(scs_inference,[],[48,57,422,55,426,52,432,47,210,392,373,384,376,374,261,186,131,175,212,109,107,108,7,90,29,25,3,26,21,18,20,2,30,69,71,73,17,15,13,11,4,59,35,14,12,10,9,8,6,5])).
% 171.69/171.79 cnf(463,plain,
% 171.69/171.79 (P3(f7(x4631),x4631)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(465,plain,
% 171.69/171.79 (P7(f9(f9(x4651)),f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[53,421,434,459,378,352,112,110])).
% 171.69/171.79 cnf(466,plain,
% 171.69/171.79 (P7(f9(x4661),f13(x4661))),
% 171.69/171.79 inference(rename_variables,[],[421])).
% 171.69/171.79 cnf(468,plain,
% 171.69/171.79 (P7(f5(a2,a1),a2)),
% 171.69/171.79 inference(scs_inference,[],[53,421,434,459,378,291,352,112,110,109])).
% 171.69/171.79 cnf(470,plain,
% 171.69/171.79 (~P7(a2,f5(a2,a1))),
% 171.69/171.79 inference(scs_inference,[],[53,421,434,459,378,291,352,112,110,109,107])).
% 171.69/171.79 cnf(474,plain,
% 171.69/171.79 (P7(f7(f13(x4741)),f13(x4741))),
% 171.69/171.79 inference(scs_inference,[],[57,53,463,421,434,459,378,408,291,352,112,110,109,107,108,90])).
% 171.69/171.79 cnf(475,plain,
% 171.69/171.79 (P3(f7(x4751),x4751)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(478,plain,
% 171.69/171.79 (~E(a1,f10(f13(x4781)))),
% 171.69/171.79 inference(scs_inference,[],[57,53,463,47,421,440,434,459,424,378,408,291,212,352,112,110,109,107,108,90,3,29])).
% 171.69/171.79 cnf(479,plain,
% 171.69/171.79 (~P3(f12(a8),f13(f9(x4791)))),
% 171.69/171.79 inference(scs_inference,[],[57,53,463,47,421,440,434,459,424,378,408,291,374,189,212,352,112,110,109,107,108,90,3,29,26])).
% 171.69/171.79 cnf(480,plain,
% 171.69/171.79 (~E(f7(a4),f13(f12(a8)))),
% 171.69/171.79 inference(scs_inference,[],[57,53,463,475,47,421,440,434,459,424,378,408,291,374,189,212,352,112,110,109,107,108,90,3,29,26,25])).
% 171.69/171.79 cnf(483,plain,
% 171.69/171.79 (P9(x4831,x4831)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(486,plain,
% 171.69/171.79 (~E(a1,f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[57,120,53,463,475,52,483,47,421,466,440,434,459,424,378,408,291,374,189,326,212,352,112,110,109,107,108,90,3,29,26,25,21,18,20])).
% 171.69/171.79 cnf(491,plain,
% 171.69/171.79 (~P9(f12(a8),f9(x4911))),
% 171.69/171.79 inference(scs_inference,[],[57,120,53,463,475,52,483,47,421,466,440,358,434,459,424,425,378,408,291,374,189,326,212,352,112,110,109,107,108,90,3,29,26,25,21,18,20,2,278,32,91])).
% 171.69/171.79 cnf(493,plain,
% 171.69/171.79 (P3(f5(a2,a1),a2)),
% 171.69/171.79 inference(scs_inference,[],[57,120,53,463,475,52,483,47,421,466,440,358,434,459,424,425,378,408,291,374,189,326,212,352,112,110,109,107,108,90,3,29,26,25,21,18,20,2,278,32,91,89])).
% 171.69/171.79 cnf(495,plain,
% 171.69/171.79 (P12(f5(a2,a1))),
% 171.69/171.79 inference(scs_inference,[],[57,120,53,463,475,52,483,47,421,466,440,358,434,459,424,425,378,408,291,374,189,326,212,352,112,110,109,107,108,90,3,29,26,25,21,18,20,2,278,32,91,89,360])).
% 171.69/171.79 cnf(512,plain,
% 171.69/171.79 (P14(f5(a2,a1))),
% 171.69/171.79 inference(scs_inference,[],[46,493,82])).
% 171.69/171.79 cnf(514,plain,
% 171.69/171.79 (P13(f5(a2,a1))),
% 171.69/171.79 inference(scs_inference,[],[44,46,493,82,84])).
% 171.69/171.79 cnf(516,plain,
% 171.69/171.79 (P3(a1,f13(x5161))),
% 171.69/171.79 inference(scs_inference,[],[122,44,46,493,82,84,91])).
% 171.69/171.79 cnf(518,plain,
% 171.69/171.79 (~P9(f13(x5181),a1)),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,474,493,82,84,91,110])).
% 171.69/171.79 cnf(521,plain,
% 171.69/171.79 (~P7(f12(a8),f13(f9(x5211)))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,474,479,493,82,84,91,110,89])).
% 171.69/171.79 cnf(525,plain,
% 171.69/171.79 (P7(f7(f12(a8)),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,474,479,336,493,82,84,91,110,89,107,90])).
% 171.69/171.79 cnf(526,plain,
% 171.69/171.79 (P3(f7(x5261),x5261)),
% 171.69/171.79 inference(rename_variables,[],[53])).
% 171.69/171.79 cnf(528,plain,
% 171.69/171.79 (P9(f10(f13(x5281)),f13(x5281))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,474,479,336,493,442,82,84,91,110,89,107,90,108])).
% 171.69/171.79 cnf(530,plain,
% 171.69/171.79 (E(f11(a1,a1,x5301),f11(f9(x5302),f9(x5303),x5301))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,474,479,336,493,456,457,442,82,84,91,110,89,107,90,108,3])).
% 171.69/171.79 cnf(531,plain,
% 171.69/171.79 (E(f11(x5311,a1,x5312),f11(x5311,f9(x5313),x5312))),
% 171.69/171.79 inference(rename_variables,[],[456])).
% 171.69/171.79 cnf(532,plain,
% 171.69/171.79 (E(f11(a1,x5321,x5322),f11(f9(x5323),x5321,x5322))),
% 171.69/171.79 inference(rename_variables,[],[457])).
% 171.69/171.79 cnf(535,plain,
% 171.69/171.79 (P3(f11(f9(x5351),x5352,f9(x5353)),f13(f11(a1,x5352,a1)))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,474,334,479,336,493,456,531,457,532,442,82,84,91,110,89,107,90,108,3,26,25])).
% 171.69/171.79 cnf(538,plain,
% 171.69/171.79 (P9(f11(x5381,a1,x5382),f11(x5381,f9(x5383),x5382))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,52,474,334,479,336,493,456,531,457,532,442,82,84,91,110,89,107,90,108,3,26,25,21])).
% 171.69/171.79 cnf(539,plain,
% 171.69/171.79 (P9(x5391,x5391)),
% 171.69/171.79 inference(rename_variables,[],[52])).
% 171.69/171.79 cnf(542,plain,
% 171.69/171.79 (P9(f11(x5421,f9(x5422),x5423),f11(x5421,a1,x5423))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,52,539,474,334,416,479,336,493,456,531,457,532,182,442,82,84,91,110,89,107,90,108,3,26,25,21,18,20])).
% 171.69/171.79 cnf(544,plain,
% 171.69/171.79 (E(f11(a1,f9(x5441),f9(x5442)),f11(f9(x5443),a1,f9(x5444)))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,52,539,474,334,416,479,336,493,456,531,457,532,427,182,442,82,84,91,110,89,107,90,108,3,26,25,21,18,20,2])).
% 171.69/171.79 cnf(548,plain,
% 171.69/171.79 (~P3(f13(x5481),f13(f9(x5482)))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,52,539,51,474,495,334,416,316,479,336,493,456,531,457,532,453,427,182,442,82,84,91,110,89,107,90,108,3,26,25,21,18,20,2,31,32,111])).
% 171.69/171.79 cnf(550,plain,
% 171.69/171.79 (P7(f5(f12(a8),f9(x5501)),f12(a8))),
% 171.69/171.79 inference(scs_inference,[],[122,44,120,46,53,526,52,539,51,474,495,334,416,316,479,491,336,493,456,531,457,532,453,427,182,442,82,84,91,110,89,107,90,108,3,26,25,21,18,20,2,31,32,111,109])).
% 171.69/171.79 cnf(561,plain,
% 171.69/171.79 (~P9(f13(x5611),f9(x5612))),
% 171.69/171.79 inference(scs_inference,[],[548,91])).
% 171.69/171.79 cnf(567,plain,
% 171.69/171.79 (~P3(f13(x5671),f13(a1))),
% 171.69/171.79 inference(scs_inference,[],[548,550,525,518,91,89,107,108])).
% 171.69/171.80 cnf(569,plain,
% 171.69/171.80 (E(f11(a1,a1,a1),f11(f9(x5691),f9(x5692),f9(x5693)))),
% 171.69/171.80 inference(scs_inference,[],[548,530,550,525,518,455,91,89,107,108,3])).
% 171.69/171.80 cnf(570,plain,
% 171.69/171.80 (E(f11(a1,a1,x5701),f11(f9(x5702),f9(x5703),x5701))),
% 171.69/171.80 inference(rename_variables,[],[530])).
% 171.69/171.80 cnf(572,plain,
% 171.69/171.80 (P3(f7(f11(a1,a1,x5721)),f11(f9(x5722),f9(x5723),x5721))),
% 171.69/171.80 inference(scs_inference,[],[53,548,530,570,550,525,518,455,91,89,107,108,3,26])).
% 171.69/171.80 cnf(574,plain,
% 171.69/171.80 (P3(f11(f9(x5741),f9(x5742),f9(x5743)),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[53,548,535,530,570,550,525,518,456,455,91,89,107,108,3,26,25])).
% 171.69/171.80 cnf(577,plain,
% 171.69/171.80 (~P9(f13(x5771),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[53,548,535,530,570,550,525,518,450,456,455,91,89,107,108,3,26,25,21])).
% 171.69/171.80 cnf(581,plain,
% 171.69/171.80 (P9(f11(f9(x5811),f9(x5812),x5813),f11(a1,a1,x5813))),
% 171.69/171.80 inference(scs_inference,[],[53,52,548,535,530,570,550,480,525,518,470,450,456,455,182,91,89,107,108,3,26,25,21,18,2,20])).
% 171.69/171.80 cnf(613,plain,
% 171.69/171.80 (P13(f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[53,324,83])).
% 171.69/171.80 cnf(614,plain,
% 171.69/171.80 (P3(f7(x6141),x6141)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(621,plain,
% 171.69/171.80 (~P7(f12(a8),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[53,542,431,567,521,324,442,83,112,91,110])).
% 171.69/171.80 cnf(624,plain,
% 171.69/171.80 (~P7(f13(x6241),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[53,542,431,567,521,324,442,83,112,91,110,89])).
% 171.69/171.80 cnf(626,plain,
% 171.69/171.80 (P9(f11(f9(x6261),f9(x6262),f9(x6263)),f11(a1,a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[53,574,542,431,567,521,324,442,83,112,91,110,89,108])).
% 171.69/171.80 cnf(628,plain,
% 171.69/171.80 (~P3(f13(x6281),f10(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[53,574,542,431,567,521,324,440,442,83,112,91,110,89,108,90])).
% 171.69/171.80 cnf(631,plain,
% 171.69/171.80 (~E(f9(x6311),f10(f13(x6312)))),
% 171.69/171.80 inference(scs_inference,[],[53,574,542,431,567,521,478,324,440,442,212,83,112,91,110,89,108,90,3])).
% 171.69/171.80 cnf(632,plain,
% 171.69/171.80 (~E(f13(a4),f13(f14(a8,a4)))),
% 171.69/171.80 inference(scs_inference,[],[53,574,542,431,567,521,478,324,440,258,177,442,212,83,112,91,110,89,108,90,3,26])).
% 171.69/171.80 cnf(638,plain,
% 171.69/171.80 (E(f11(f9(x6381),f9(x6382),f9(x6383)),f11(a1,a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[53,614,52,561,574,542,431,567,569,521,478,324,440,258,177,374,442,212,83,112,91,110,89,108,90,3,26,25,21,2])).
% 171.69/171.80 cnf(685,plain,
% 171.69/171.80 (P7(f7(a4),a4)),
% 171.69/171.80 inference(scs_inference,[],[53,514,281,268,453,338,34,110,90])).
% 171.69/171.80 cnf(686,plain,
% 171.69/171.80 (P3(f7(x6861),x6861)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(688,plain,
% 171.69/171.80 (E(f11(f9(x6881),f9(x6882),f9(x6883)),f11(f9(x6884),f9(x6885),a1))),
% 171.69/171.80 inference(scs_inference,[],[53,638,514,281,268,530,453,338,34,110,90,3])).
% 171.69/171.80 cnf(689,plain,
% 171.69/171.80 (E(f11(a1,a1,x6891),f11(f9(x6892),f9(x6893),x6891))),
% 171.69/171.80 inference(rename_variables,[],[530])).
% 171.69/171.80 cnf(691,plain,
% 171.69/171.80 (P3(f7(x6911),x6911)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(692,plain,
% 171.69/171.80 (P3(f5(f9(x6921),x6922),f13(f5(a1,x6922)))),
% 171.69/171.80 inference(scs_inference,[],[53,686,638,514,281,447,268,530,453,177,338,34,110,90,3,26,25])).
% 171.69/171.80 cnf(693,plain,
% 171.69/171.80 (P3(x6931,f13(x6931))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(694,plain,
% 171.69/171.80 (P9(f11(f9(x6941),f9(x6942),f9(x6943)),f11(f9(x6944),f9(x6945),a1))),
% 171.69/171.80 inference(scs_inference,[],[53,686,626,638,514,281,447,268,530,689,453,177,338,34,110,90,3,26,25,21])).
% 171.69/171.80 cnf(698,plain,
% 171.69/171.80 (P7(f9(f9(x6981)),f13(f9(x6982)))),
% 171.69/171.80 inference(scs_inference,[],[46,53,686,626,631,638,514,281,447,433,449,268,530,689,453,177,338,34,110,90,3,26,25,21,2,23,17])).
% 171.69/171.80 cnf(700,plain,
% 171.69/171.80 (P3(f7(x7001),x7001)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(703,plain,
% 171.69/171.80 (P3(f7(x7031),x7031)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(714,plain,
% 171.69/171.80 (~E(a2,x7141)+~P7(a4,f7(a4))),
% 171.69/171.80 inference(scs_inference,[],[46,53,686,691,700,703,626,631,638,514,281,447,433,449,268,530,689,453,177,693,338,34,110,90,3,26,25,21,2,23,17,106,105,85,87,78,112,107])).
% 171.69/171.80 cnf(741,plain,
% 171.69/171.80 (~P7(a4,f7(a4))),
% 171.69/171.80 inference(equality_inference,[],[714])).
% 171.69/171.80 cnf(742,plain,
% 171.69/171.80 (~P3(a4,f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[47,685,111])).
% 171.69/171.80 cnf(746,plain,
% 171.69/171.80 (P3(f7(f13(a1)),f13(x7461))),
% 171.69/171.80 inference(scs_inference,[],[47,698,413,685,521,111,17,91])).
% 171.69/171.80 cnf(748,plain,
% 171.69/171.80 (P7(f7(a4),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[121,47,698,413,685,521,111,17,91,110])).
% 171.69/171.80 cnf(750,plain,
% 171.69/171.80 (~P7(f12(a8),f7(a4))),
% 171.69/171.80 inference(scs_inference,[],[121,47,698,413,685,521,111,17,91,110,107])).
% 171.69/171.80 cnf(752,plain,
% 171.69/171.80 (P7(f5(f9(x7521),x7522),f13(f5(a1,x7522)))),
% 171.69/171.80 inference(scs_inference,[],[121,57,47,698,692,413,685,521,111,17,91,110,107,90])).
% 171.69/171.80 cnf(755,plain,
% 171.69/171.80 (E(f14(a1,a1),f14(f9(x7551),f9(x7552)))),
% 171.69/171.80 inference(scs_inference,[],[121,57,47,698,692,413,685,448,454,521,111,17,91,110,107,90,3])).
% 171.69/171.80 cnf(763,plain,
% 171.69/171.80 (E(f11(f9(x7631),f9(x7632),a1),f11(f9(x7633),f9(x7634),f9(x7635)))),
% 171.69/171.80 inference(scs_inference,[],[121,57,47,698,692,688,413,628,685,448,454,574,521,291,450,177,111,17,91,110,107,90,3,26,25,21,2])).
% 171.69/171.80 cnf(767,plain,
% 171.69/171.80 (P3(f7(a4),f12(a8))+~E(f7(f13(a2)),x7671)),
% 171.69/171.80 inference(scs_inference,[],[121,57,47,53,698,692,688,413,628,685,448,454,237,574,521,291,450,177,111,17,91,110,107,90,3,26,25,21,2,22,80,89])).
% 171.69/171.80 cnf(780,plain,
% 171.69/171.80 (P3(f7(a4),f12(a8))),
% 171.69/171.80 inference(equality_inference,[],[767])).
% 171.69/171.80 cnf(783,plain,
% 171.69/171.80 (P7(f5(f13(x7831),f9(x7832)),f13(x7831))),
% 171.69/171.80 inference(scs_inference,[],[512,561,453,31,109])).
% 171.69/171.80 cnf(785,plain,
% 171.69/171.80 (~P9(a4,a1)),
% 171.69/171.80 inference(scs_inference,[],[742,512,561,453,31,109,91])).
% 171.69/171.80 cnf(787,plain,
% 171.69/171.80 (~P7(a4,f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[742,512,561,453,31,109,91,89])).
% 171.69/171.80 cnf(791,plain,
% 171.69/171.80 (~P7(f13(f5(a1,x7911)),f5(f9(x7912),x7911))),
% 171.69/171.80 inference(scs_inference,[],[752,624,742,512,434,561,453,31,109,91,89,110,107])).
% 171.69/171.80 cnf(793,plain,
% 171.69/171.80 (~E(f9(x7931),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[752,624,742,486,512,434,561,453,212,31,109,91,89,110,107,3])).
% 171.69/171.80 cnf(794,plain,
% 171.69/171.80 (~P3(a4,f13(f9(x7941)))),
% 171.69/171.80 inference(scs_inference,[],[752,624,742,486,512,434,561,453,189,212,31,109,91,89,110,107,3,26])).
% 171.69/171.80 cnf(795,plain,
% 171.69/171.80 (~E(f7(f13(a1)),a4)),
% 171.69/171.80 inference(scs_inference,[],[53,752,624,742,486,512,434,561,453,189,212,31,109,91,89,110,107,3,26,25])).
% 171.69/171.80 cnf(821,plain,
% 171.69/171.80 (~E(f5(f13(a1),f9(x8211)),a4)),
% 171.69/171.80 inference(scs_inference,[],[783,787,17])).
% 171.69/171.80 cnf(822,plain,
% 171.69/171.80 (P7(f5(f13(x8221),f9(x8222)),f13(x8221))),
% 171.69/171.80 inference(rename_variables,[],[783])).
% 171.69/171.80 cnf(823,plain,
% 171.69/171.80 (P3(f11(f9(x8231),f9(x8232),x8233),f13(f11(a1,a1,x8233)))),
% 171.69/171.80 inference(scs_inference,[],[783,581,787,17,91])).
% 171.69/171.80 cnf(825,plain,
% 171.69/171.80 (P3(f5(f13(x8251),f9(x8252)),f13(x8251))),
% 171.69/171.80 inference(scs_inference,[],[783,822,581,787,17,91,89])).
% 171.69/171.80 cnf(827,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f7(a4))),
% 171.69/171.80 inference(scs_inference,[],[783,822,581,741,787,338,17,91,89,110])).
% 171.69/171.80 cnf(829,plain,
% 171.69/171.80 (~P7(f13(x8291),f5(f13(x8291),f9(x8292)))),
% 171.69/171.80 inference(scs_inference,[],[783,822,581,741,787,338,17,91,89,110,107])).
% 171.69/171.80 cnf(831,plain,
% 171.69/171.80 (~P7(f13(f5(a1,a1)),f5(f9(x8311),f9(x8312)))),
% 171.69/171.80 inference(scs_inference,[],[783,822,791,581,741,787,182,338,17,91,89,110,107,18])).
% 171.69/171.80 cnf(835,plain,
% 171.69/171.80 (P3(f7(f14(a1,a1)),f14(f9(x8351),f9(x8352)))),
% 171.69/171.80 inference(scs_inference,[],[53,783,822,791,581,755,741,787,192,449,182,338,17,91,89,110,107,18,3,26])).
% 171.69/171.80 cnf(837,plain,
% 171.69/171.80 (P3(f14(f9(x8371),f9(x8372)),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[53,783,822,791,581,755,741,787,192,449,182,177,338,17,91,89,110,107,18,3,26,25])).
% 171.69/171.80 cnf(839,plain,
% 171.69/171.80 (E(f14(f9(x8391),f9(x8392)),f14(a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[53,783,822,791,581,755,741,787,192,449,182,177,338,17,91,89,110,107,18,3,26,25,2])).
% 171.69/171.80 cnf(840,plain,
% 171.69/171.80 (P9(f14(a1,a1),f14(f9(x8401),f9(x8402)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,783,822,791,581,755,741,787,192,449,182,177,338,17,91,89,110,107,18,3,26,25,2,21])).
% 171.69/171.80 cnf(845,plain,
% 171.69/171.80 (~P2(f10(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,783,822,791,581,755,741,787,192,336,449,182,177,338,17,91,89,110,107,18,3,26,25,2,21,113,27,71])).
% 171.69/171.80 cnf(847,plain,
% 171.69/171.80 (P3(f10(f12(a8)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,783,822,791,581,755,741,787,192,336,449,182,177,338,17,91,89,110,107,18,3,26,25,2,21,113,27,71,73])).
% 171.69/171.80 cnf(879,plain,
% 171.69/171.80 (P11(f5(f13(a1),f9(x8791)))),
% 171.69/171.80 inference(scs_inference,[],[41,46,825,493,88,98])).
% 171.69/171.80 cnf(880,plain,
% 171.69/171.80 (P3(f5(f13(x8801),f9(x8802)),f13(x8801))),
% 171.69/171.80 inference(rename_variables,[],[825])).
% 171.69/171.80 cnf(883,plain,
% 171.69/171.80 (P3(f5(f13(x8831),f9(x8832)),f13(x8831))),
% 171.69/171.80 inference(rename_variables,[],[825])).
% 171.69/171.80 cnf(887,plain,
% 171.69/171.80 (~P3(f13(f12(a8)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[41,46,825,880,182,493,742,338,88,98,94,16,112])).
% 171.69/171.80 cnf(889,plain,
% 171.69/171.80 (~P3(a2,f13(f9(x8891)))),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,182,493,742,338,88,98,94,16,112,111])).
% 171.69/171.80 cnf(891,plain,
% 171.69/171.80 (P7(f5(a1,x8911),f13(f5(a1,x8911)))),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,183,752,182,493,742,338,88,98,94,16,112,111,17])).
% 171.69/171.80 cnf(893,plain,
% 171.69/171.80 (P7(f5(a4,a1),a4)),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,785,183,752,182,493,742,338,88,98,94,16,112,111,17,109])).
% 171.69/171.80 cnf(895,plain,
% 171.69/171.80 (~P7(a4,f13(f9(x8951)))),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,785,183,794,752,182,493,742,338,88,98,94,16,112,111,17,109,89])).
% 171.69/171.80 cnf(897,plain,
% 171.69/171.80 (~P9(a4,f9(x8971))),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,785,183,794,752,182,493,742,338,88,98,94,16,112,111,17,109,89,91])).
% 171.69/171.80 cnf(899,plain,
% 171.69/171.80 (P9(f5(f13(x8991),f9(x8992)),x8991)),
% 171.69/171.80 inference(scs_inference,[],[128,41,46,51,825,880,883,785,183,794,752,182,493,742,338,88,98,94,16,112,111,17,109,89,91,108])).
% 171.69/171.80 cnf(903,plain,
% 171.69/171.80 (P7(f5(a4,a1),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[128,41,121,46,51,825,880,883,785,183,794,752,182,493,742,338,88,98,94,16,112,111,17,109,89,91,108,107,110])).
% 171.69/171.80 cnf(905,plain,
% 171.69/171.80 (P7(f7(f10(a2)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[128,41,121,46,51,53,825,880,883,785,183,794,752,179,182,493,742,338,88,98,94,16,112,111,17,109,89,91,108,107,110,90])).
% 171.69/171.80 cnf(909,plain,
% 171.69/171.80 (E(f11(f9(x9091),a1,f9(x9092)),f11(f9(x9093),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[128,41,121,46,51,53,825,880,883,831,785,436,183,794,752,427,447,179,182,493,742,338,88,98,94,16,112,111,17,109,89,91,108,107,110,90,18,3])).
% 171.69/171.80 cnf(911,plain,
% 171.69/171.80 (P3(f5(f13(f9(x9111)),f9(x9112)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[128,41,121,46,51,53,825,880,883,831,785,436,183,794,752,427,447,179,182,493,742,189,338,88,98,94,16,112,111,17,109,89,91,108,107,110,90,18,3,26])).
% 171.69/171.80 cnf(916,plain,
% 171.69/171.80 (~P9(a4,f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[128,41,121,46,51,53,55,825,880,883,831,793,785,436,183,794,752,427,447,450,179,182,493,742,189,338,88,98,94,16,112,111,17,109,89,91,108,107,110,90,18,3,26,25,2,21])).
% 171.69/171.80 cnf(940,plain,
% 171.69/171.80 (P7(f5(a4,f9(x9401)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[903,453,177,112,17])).
% 171.69/171.80 cnf(944,plain,
% 171.69/171.80 (P3(f9(x9441),f13(x9442))),
% 171.69/171.80 inference(scs_inference,[],[903,893,341,453,177,112,17,89,91])).
% 171.69/171.80 cnf(946,plain,
% 171.69/171.80 (~P3(f13(f12(a8)),f13(f7(a4)))),
% 171.69/171.80 inference(scs_inference,[],[903,827,893,341,453,177,112,17,89,91,108])).
% 171.69/171.80 cnf(948,plain,
% 171.69/171.80 (~P7(f12(a8),f5(a4,a1))),
% 171.69/171.80 inference(scs_inference,[],[903,827,893,341,453,177,112,17,89,91,108,107])).
% 171.69/171.80 cnf(950,plain,
% 171.69/171.80 (P7(f14(f9(x9501),f9(x9502)),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,837,903,827,893,341,453,177,112,17,89,91,108,107,90])).
% 171.69/171.80 cnf(958,plain,
% 171.69/171.80 (E(f11(f9(x9581),a1,a1),f11(f9(x9582),a1,f9(x9583)))),
% 171.69/171.80 inference(scs_inference,[],[131,57,837,891,909,903,827,893,821,341,453,182,177,112,17,89,91,108,107,90,18,3,2])).
% 171.69/171.80 cnf(959,plain,
% 171.69/171.80 (~E(f12(a8),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[131,121,57,837,891,909,903,827,893,916,821,341,453,182,177,112,17,89,91,108,107,90,18,3,2,21])).
% 171.69/171.80 cnf(961,plain,
% 171.69/171.80 (~E(f7(f13(a2)),x9611)+P17(f7(f13(x9611)))),
% 171.69/171.80 inference(scs_inference,[],[131,121,57,53,837,891,909,903,827,893,916,821,341,304,453,182,177,112,17,89,91,108,107,90,18,3,2,21,23,106])).
% 171.69/171.80 cnf(999,plain,
% 171.69/171.80 (P17(f7(f13(f7(f13(a2)))))),
% 171.69/171.80 inference(equality_inference,[],[961])).
% 171.69/171.80 cnf(1003,plain,
% 171.69/171.80 (P3(f7(f10(a2)),a2)),
% 171.69/171.80 inference(scs_inference,[],[905,195,112])).
% 171.69/171.80 cnf(1011,plain,
% 171.69/171.80 (~P7(f13(f14(a1,a1)),f14(f9(x10111),f9(x10112)))),
% 171.69/171.80 inference(scs_inference,[],[950,946,847,829,905,195,373,112,17,89,108,107])).
% 171.69/171.80 cnf(1013,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[950,946,847,887,829,905,195,373,112,17,89,108,107,91])).
% 171.69/171.80 cnf(1017,plain,
% 171.69/171.80 (E(f11(f9(x10171),a1,a1),f11(f9(x10172),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[950,946,847,887,958,948,829,905,909,195,182,373,112,17,89,108,107,91,18,3])).
% 171.69/171.80 cnf(1018,plain,
% 171.69/171.80 (E(f11(f9(x10181),a1,a1),f11(f9(x10182),a1,f9(x10183)))),
% 171.69/171.80 inference(rename_variables,[],[958])).
% 171.69/171.80 cnf(1019,plain,
% 171.69/171.80 (~E(a4,f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[950,946,795,847,887,958,948,829,905,909,195,182,373,112,17,89,108,107,91,18,3,2])).
% 171.69/171.80 cnf(1020,plain,
% 171.69/171.80 (P9(f11(f9(x10201),a1,a1),f11(f9(x10202),a1,f9(x10203)))),
% 171.69/171.80 inference(scs_inference,[],[52,950,946,795,847,887,958,1018,948,829,905,909,195,182,373,112,17,89,108,107,91,18,3,2,21])).
% 171.69/171.80 cnf(1049,plain,
% 171.69/171.80 (P7(f14(f9(x10491),a1),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[940,184,950,89,17])).
% 171.69/171.80 cnf(1051,plain,
% 171.69/171.80 (~P7(f10(a2),f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[940,184,950,905,89,17,107])).
% 171.69/171.80 cnf(1053,plain,
% 171.69/171.80 (P3(f13(f9(x10531)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[940,184,950,905,434,89,17,107,91])).
% 171.69/171.80 cnf(1055,plain,
% 171.69/171.80 (~P9(f12(a8),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[131,940,184,950,905,434,89,17,107,91,110])).
% 171.69/171.80 cnf(1061,plain,
% 171.69/171.80 (E(f11(f9(x10611),f9(x10612),x10613),f11(a1,a1,x10613))),
% 171.69/171.80 inference(scs_inference,[],[131,1011,940,446,184,181,950,905,448,434,530,89,17,107,91,110,18,3,2])).
% 171.69/171.80 cnf(1062,plain,
% 171.69/171.80 (~P7(f5(f13(f12(a8)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[131,1011,1013,940,446,184,181,950,905,448,434,530,89,17,107,91,110,18,3,2,113])).
% 171.69/171.80 cnf(1064,plain,
% 171.69/171.80 (P17(f5(f13(f9(x10641)),f9(x10642)))),
% 171.69/171.80 inference(scs_inference,[],[131,45,1011,911,1013,940,446,184,181,950,905,448,434,530,89,17,107,91,110,18,3,2,113,106])).
% 171.69/171.80 cnf(1067,plain,
% 171.69/171.80 (P7(f5(f13(f9(x10671)),f9(x10672)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[131,57,45,1011,911,1017,1013,940,446,184,181,950,905,448,434,530,89,17,107,91,110,18,3,2,113,106,36,90])).
% 171.69/171.80 cnf(1089,plain,
% 171.69/171.80 (~P8(f11(f9(x10891),a1,a1))+~P10(f11(f9(x10891),a1,a1))+P10(f11(f9(x10892),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[131,57,52,45,1011,613,911,1017,1013,252,438,879,940,446,184,577,181,950,905,448,434,530,268,182,177,49,89,17,107,91,110,18,3,2,113,106,36,90,21,402,71,23,19,73,24,30,31,34,112,33,35])).
% 171.69/171.80 cnf(1098,plain,
% 171.69/171.80 (P16(f5(f13(f9(x10981)),f9(x10982)))),
% 171.69/171.80 inference(scs_inference,[],[1064,66])).
% 171.69/171.80 cnf(1102,plain,
% 171.69/171.80 (P7(f5(a4,f9(x11021)),a4)),
% 171.69/171.80 inference(scs_inference,[],[1064,897,66,64,109])).
% 171.69/171.80 cnf(1105,plain,
% 171.69/171.80 (~P7(a2,f13(f9(x11051)))),
% 171.69/171.80 inference(scs_inference,[],[56,51,1064,889,897,66,64,109,29,89])).
% 171.69/171.80 cnf(1109,plain,
% 171.69/171.80 (P7(f14(a1,a1),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[56,51,1064,1049,889,897,185,66,64,109,29,89,107,17])).
% 171.69/171.80 cnf(1112,plain,
% 171.69/171.80 (~P9(a2,f9(x11121))),
% 171.69/171.80 inference(scs_inference,[],[56,51,1064,1049,889,897,185,66,64,109,29,89,107,17,91])).
% 171.69/171.80 cnf(1114,plain,
% 171.69/171.80 (P9(f11(a1,a1,f9(x11141)),f11(f9(x11142),f9(x11143),a1))),
% 171.69/171.80 inference(scs_inference,[],[56,51,1064,694,1061,1049,889,897,185,66,64,109,29,89,107,17,91,20])).
% 171.69/171.80 cnf(1117,plain,
% 171.69/171.80 (~E(f10(a2),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[131,56,51,1064,694,1061,1049,889,897,185,905,66,64,109,29,89,107,17,91,20,18])).
% 171.69/171.80 cnf(1135,plain,
% 171.69/171.80 (P16(f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[46,195,105])).
% 171.69/171.80 cnf(1137,plain,
% 171.69/171.80 (P10(f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,1003,195,105,86])).
% 171.69/171.80 cnf(1142,plain,
% 171.69/171.80 (~P7(a4,f5(a4,f9(x11421)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,845,1102,1003,195,105,86,89,29,107])).
% 171.69/171.80 cnf(1144,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f5(a4,f14(a8,a4)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,845,1102,1003,287,195,338,105,86,89,29,107,110])).
% 171.69/171.80 cnf(1150,plain,
% 171.69/171.80 (P3(f12(f9(x11501)),f13(f12(a1)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,53,845,1105,1102,1003,458,287,783,195,177,338,105,86,89,29,107,110,17,26,25])).
% 171.69/171.80 cnf(1152,plain,
% 171.69/171.80 (~P7(f13(x11521),f5(f13(x11521),a1))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,53,845,1105,1102,1003,458,829,287,783,195,453,177,338,105,86,89,29,107,110,17,26,25,18])).
% 171.69/171.80 cnf(1156,plain,
% 171.69/171.80 (E(a1,f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,53,845,1105,1102,1003,190,458,829,287,783,450,195,453,177,338,105,86,89,29,107,110,17,26,25,18,3,2])).
% 171.69/171.80 cnf(1157,plain,
% 171.69/171.80 (~P3(f10(a2),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,53,845,1105,1102,1003,190,458,829,287,783,905,450,195,453,177,338,105,86,89,29,107,110,17,26,25,18,3,2,111])).
% 171.69/171.80 cnf(1159,plain,
% 171.69/171.80 (~P9(f10(a2),a1)),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,53,845,1105,1102,1003,190,458,829,287,783,905,450,195,453,177,338,105,86,89,29,107,110,17,26,25,18,3,2,111,91])).
% 171.69/171.80 cnf(1161,plain,
% 171.69/171.80 (P9(f12(a1),f12(f9(x11611)))),
% 171.69/171.80 inference(scs_inference,[],[44,46,47,52,53,845,1105,1102,1003,190,458,829,287,783,905,450,195,453,177,338,105,86,89,29,107,110,17,26,25,18,3,2,111,91,20])).
% 171.69/171.80 cnf(1178,plain,
% 171.69/171.80 (P7(f5(f10(a2),a1),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[1159,109])).
% 171.69/171.80 cnf(1180,plain,
% 171.69/171.80 (~P7(f10(a2),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[1157,1159,109,89])).
% 171.69/171.80 cnf(1182,plain,
% 171.69/171.80 (~P7(a4,f5(a4,a1))),
% 171.69/171.80 inference(scs_inference,[],[1157,1159,893,109,89,107])).
% 171.69/171.80 cnf(1184,plain,
% 171.69/171.80 (P7(f14(a1,f9(x11841)),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[1109,1157,1159,454,893,109,89,107,17])).
% 171.69/171.80 cnf(1189,plain,
% 171.69/171.80 (E(f11(a1,a1,a1),f11(f9(x11891),a1,f9(x11892)))),
% 171.69/171.80 inference(scs_inference,[],[53,1109,1157,1159,958,457,454,893,195,109,89,107,17,26,25,3])).
% 171.69/171.80 cnf(1216,plain,
% 171.69/171.80 (~P7(f10(a2),f5(f10(a2),a1))),
% 171.69/171.80 inference(scs_inference,[],[1184,1178,89,107])).
% 171.69/171.80 cnf(1218,plain,
% 171.69/171.80 (~E(f5(f13(f9(x12181)),f9(x12182)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[1184,1067,1178,1180,89,107,17])).
% 171.69/171.80 cnf(1219,plain,
% 171.69/171.80 (~P3(f10(a2),f13(f9(x12191)))),
% 171.69/171.80 inference(scs_inference,[],[1184,1067,1178,1180,1157,189,89,107,17,26])).
% 171.69/171.80 cnf(1220,plain,
% 171.69/171.80 (~P7(f10(a2),f13(f9(x12201)))),
% 171.69/171.80 inference(scs_inference,[],[1184,1067,1178,1180,1157,189,89,107,17,26,18])).
% 171.69/171.80 cnf(1222,plain,
% 171.69/171.80 (E(f11(f9(x12221),a1,f9(x12222)),f11(a1,a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[1189,1184,1067,1117,1178,1180,1156,1157,189,89,107,17,26,18,3,2])).
% 171.69/171.80 cnf(1223,plain,
% 171.69/171.80 (~P2(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1189,1184,1067,1117,1178,1180,1156,1157,179,189,89,107,17,26,18,3,2,71])).
% 171.69/171.80 cnf(1225,plain,
% 171.69/171.80 (P3(f10(f10(a2)),f13(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1189,1184,1067,1117,1178,1180,1156,1157,179,189,89,107,17,26,18,3,2,71,73])).
% 171.69/171.80 cnf(1249,plain,
% 171.69/171.80 (P1(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1225,324,94])).
% 171.69/171.80 cnf(1251,plain,
% 171.69/171.80 (P11(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1225,324,94,98])).
% 171.69/171.80 cnf(1255,plain,
% 171.69/171.80 (E(f5(x12551,f9(x12552)),f5(x12551,a1))),
% 171.69/171.80 inference(rename_variables,[],[182])).
% 171.69/171.80 cnf(1256,plain,
% 171.69/171.80 (P17(f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[46,1225,879,324,195,182,94,98,19,106])).
% 171.69/171.80 cnf(1260,plain,
% 171.69/171.80 (P7(f10(f10(a2)),f13(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[57,46,1225,887,879,324,195,182,94,98,19,106,89,90])).
% 171.69/171.80 cnf(1263,plain,
% 171.69/171.80 (~E(f5(a4,f9(x12631)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[57,46,1225,371,887,879,1102,324,195,182,94,98,19,106,89,90,17])).
% 171.69/171.80 cnf(1264,plain,
% 171.69/171.80 (P3(f7(a1),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,46,53,1225,371,887,879,1156,1102,324,195,182,94,98,19,106,89,90,17,26])).
% 171.69/171.80 cnf(1268,plain,
% 171.69/171.80 (E(f11(f9(x12681),a1,f9(x12682)),f11(f9(x12683),a1,f9(x12684)))),
% 171.69/171.80 inference(scs_inference,[],[57,46,53,1222,1225,1216,371,887,879,1156,1189,1102,324,195,182,1255,94,98,19,106,89,90,17,26,18,3])).
% 171.69/171.80 cnf(1269,plain,
% 171.69/171.80 (~P9(f10(a2),f9(x12691))),
% 171.69/171.80 inference(scs_inference,[],[57,46,53,1222,1225,1216,371,887,879,1156,1159,1189,1102,324,175,195,182,1255,94,98,19,106,89,90,17,26,18,3,21])).
% 171.69/171.80 cnf(1273,plain,
% 171.69/171.80 (P3(f5(f10(a2),a1),a2)),
% 171.69/171.80 inference(scs_inference,[],[57,46,53,1222,780,1225,1218,1216,371,887,1178,879,1156,1159,1189,1102,324,175,195,182,1255,94,98,19,106,89,90,17,26,18,3,21,2,84,112])).
% 171.69/171.80 cnf(1275,plain,
% 171.69/171.80 (P9(f10(f10(a2)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[57,46,53,1222,780,1225,1218,1216,371,887,1178,879,1156,1159,1189,1102,324,175,195,182,1255,94,98,19,106,89,90,17,26,18,3,21,2,84,112,108])).
% 171.69/171.80 cnf(1277,plain,
% 171.69/171.80 (~E(f9(x12771),f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[57,51,46,53,1222,780,1225,1218,1223,1216,371,887,1178,879,1156,1159,1189,1102,324,175,195,182,1255,94,98,19,106,89,90,17,26,18,3,21,2,84,112,108,29])).
% 171.69/171.80 cnf(1278,plain,
% 171.69/171.80 (~P7(f13(f10(a2)),f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[57,51,46,53,1222,780,1225,1218,1223,1216,371,887,1178,879,1156,1159,1189,1102,324,175,195,182,1255,94,98,19,106,89,90,17,26,18,3,21,2,84,112,108,29,107])).
% 171.69/171.80 cnf(1309,plain,
% 171.69/171.80 (P8(f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[53,1273,1256,40,360,79,88])).
% 171.69/171.80 cnf(1312,plain,
% 171.69/171.80 (P3(f14(f9(x13121),a1),f13(f14(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[53,1273,1256,1049,40,360,79,88,89])).
% 171.69/171.80 cnf(1314,plain,
% 171.69/171.80 (~P3(f13(f10(a2)),f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[53,1278,1273,1256,1223,1049,40,360,79,88,89,90])).
% 171.69/171.80 cnf(1316,plain,
% 171.69/171.80 (P7(f5(a2,f9(x13161)),a2)),
% 171.69/171.80 inference(scs_inference,[],[53,1278,1273,1256,468,1223,1049,40,453,360,79,88,89,90,17])).
% 171.69/171.80 cnf(1317,plain,
% 171.69/171.80 (E(f5(x13171,a1),f5(x13171,f9(x13172)))),
% 171.69/171.80 inference(rename_variables,[],[453])).
% 171.69/171.80 cnf(1318,plain,
% 171.69/171.80 (P3(f5(f13(a1),f9(x13181)),f13(f9(x13182)))),
% 171.69/171.80 inference(scs_inference,[],[53,1278,1273,1256,468,1223,825,1049,40,453,373,360,79,88,89,90,17,26])).
% 171.69/171.80 cnf(1319,plain,
% 171.69/171.80 (P3(f5(f13(x13191),f9(x13192)),f13(x13191))),
% 171.69/171.80 inference(rename_variables,[],[825])).
% 171.69/171.80 cnf(1321,plain,
% 171.69/171.80 (E(f11(f9(x13211),f9(x13212),f9(x13213)),f11(f9(x13214),a1,f9(x13215)))),
% 171.69/171.80 inference(scs_inference,[],[53,1278,1273,1256,468,1223,444,544,188,825,1049,40,453,373,360,79,88,89,90,17,26,18,3])).
% 171.69/171.80 cnf(1325,plain,
% 171.69/171.80 (E(f11(f9(x13251),a1,f9(x13252)),f11(f9(x13253),f9(x13254),f9(x13255)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1269,1278,1273,1256,468,1223,444,544,188,825,1049,40,453,373,360,79,88,89,90,17,26,18,3,21,2])).
% 171.69/171.80 cnf(1328,plain,
% 171.69/171.80 (~P7(x13281,f5(f13(f9(x13282)),f9(x13283)))),
% 171.69/171.80 inference(scs_inference,[],[51,52,53,1268,1269,1278,1273,1256,468,1223,444,544,188,825,1319,1049,40,453,1317,373,360,79,88,89,90,17,26,18,3,21,2,32,28,111])).
% 171.69/171.80 cnf(1334,plain,
% 171.69/171.80 (P3(f5(f13(f9(x13341)),f9(x13342)),f13(x13343))),
% 171.69/171.80 inference(scs_inference,[],[51,52,53,1268,1269,1278,1273,1256,468,1223,444,544,188,825,1319,1049,40,453,1317,373,360,79,88,89,90,17,26,18,3,21,2,32,28,111,31,109,91])).
% 171.69/171.80 cnf(1355,plain,
% 171.69/171.80 (P7(f5(f10(a2),f9(x13551)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[1269,109])).
% 171.69/171.80 cnf(1357,plain,
% 171.69/171.80 (P2(f5(f13(f9(x13571)),f9(x13572)))),
% 171.69/171.80 inference(scs_inference,[],[53,1328,1269,109,90])).
% 171.69/171.80 cnf(1358,plain,
% 171.69/171.80 (~P7(x13581,f5(f13(f9(x13582)),f9(x13583)))),
% 171.69/171.80 inference(rename_variables,[],[1328])).
% 171.69/171.80 cnf(1361,plain,
% 171.69/171.80 (P9(f11(f9(x13611),a1,f9(x13612)),f11(f9(x13613),f9(x13614),f9(x13615)))),
% 171.69/171.80 inference(scs_inference,[],[53,1328,387,1269,958,109,90,20])).
% 171.69/171.80 cnf(1363,plain,
% 171.69/171.80 (~E(f5(f13(f9(x13631)),f9(x13632)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[53,1328,387,621,1269,1067,958,109,90,20,17])).
% 171.69/171.80 cnf(1367,plain,
% 171.69/171.80 (P9(f11(f9(x13671),f9(x13672),f9(x13673)),f11(f9(x13674),a1,f9(x13675)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1328,1321,387,1263,621,1269,1067,958,182,109,90,20,17,3,21])).
% 171.69/171.80 cnf(1376,plain,
% 171.69/171.80 (~P9(a2,f5(f13(f9(x13761)),f9(x13762)))),
% 171.69/171.80 inference(scs_inference,[],[128,52,53,1328,1358,1321,1277,387,1263,1137,621,1269,1256,1067,958,182,109,90,20,17,3,21,2,32,24,36,23,34,35,110])).
% 171.69/171.80 cnf(1380,plain,
% 171.69/171.80 (~P7(x13801,f11(f9(x13802),f9(x13803),f9(x13804)))+P7(x13801,f11(f9(x13805),a1,f9(x13806)))),
% 171.69/171.80 inference(scs_inference,[],[128,52,53,1328,1358,1321,1277,387,1263,1137,621,1269,1256,1067,958,182,109,90,20,17,3,21,2,32,24,36,23,34,35,110,29,18])).
% 171.69/171.80 cnf(1383,plain,
% 171.69/171.80 (E(f5(f13(f9(x13831)),f9(x13832)),a1)),
% 171.69/171.80 inference(scs_inference,[],[1357,59])).
% 171.69/171.80 cnf(1385,plain,
% 171.69/171.80 (P17(f5(f13(a1),f9(x13851)))),
% 171.69/171.80 inference(scs_inference,[],[1357,1318,165,59,106])).
% 171.69/171.80 cnf(1386,plain,
% 171.69/171.80 (P3(f5(f13(a1),f9(x13861)),f13(f9(x13862)))),
% 171.69/171.80 inference(rename_variables,[],[1318])).
% 171.69/171.80 cnf(1388,plain,
% 171.69/171.80 (P7(f5(f13(f9(x13881)),f9(x13882)),f13(x13883))),
% 171.69/171.80 inference(scs_inference,[],[57,1334,1357,1318,165,59,106,90])).
% 171.69/171.80 cnf(1391,plain,
% 171.69/171.80 (P3(f7(a1),f9(x13911))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1318,191,165,59,106,90,25])).
% 171.69/171.80 cnf(1393,plain,
% 171.69/171.80 (~P7(f13(f9(x13931)),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1318,1152,191,165,189,59,106,90,25,17])).
% 171.69/171.80 cnf(1395,plain,
% 171.69/171.80 (~E(f13(f12(a8)),f5(a4,a1))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1152,191,165,189,338,59,106,90,25,17,18])).
% 171.69/171.80 cnf(1396,plain,
% 171.69/171.80 (E(f11(f9(x13961),a1,f9(x13962)),f11(a1,a1,f9(x13963)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,189,338,59,106,90,25,17,18,3])).
% 171.69/171.80 cnf(1397,plain,
% 171.69/171.80 (E(f11(f9(x13971),a1,f9(x13972)),f11(f9(x13973),f9(x13974),f9(x13975)))),
% 171.69/171.80 inference(rename_variables,[],[1325])).
% 171.69/171.80 cnf(1399,plain,
% 171.69/171.80 (~P9(f10(a2),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,1159,450,189,338,59,106,90,25,17,18,3,21])).
% 171.69/171.80 cnf(1400,plain,
% 171.69/171.80 (E(a1,f5(f13(f9(x14001)),f9(x14002)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,1159,450,189,338,59,106,90,25,17,18,3,21,2])).
% 171.69/171.80 cnf(1401,plain,
% 171.69/171.80 (P16(f5(f13(a1),f9(x14011)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,1159,450,189,338,59,106,90,25,17,18,3,21,2,66])).
% 171.69/171.80 cnf(1403,plain,
% 171.69/171.80 (P3(f10(a4),f13(a4))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,1159,268,450,189,338,59,106,90,25,17,18,3,21,2,66,73])).
% 171.69/171.80 cnf(1405,plain,
% 171.69/171.80 (~P2(f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1334,1357,1182,1318,1325,1152,191,165,1061,1159,268,450,189,338,59,106,90,25,17,18,3,21,2,66,73,71])).
% 171.69/171.80 cnf(1409,plain,
% 171.69/171.80 (~P7(a2,f5(f13(f7(a2)),f9(x14091)))),
% 171.69/171.80 inference(scs_inference,[],[161,57,53,1334,1357,1182,1318,1325,1152,1312,899,191,165,1061,1159,268,450,189,338,59,106,90,25,17,18,3,21,2,66,73,71,105,110])).
% 171.69/171.80 cnf(1413,plain,
% 171.69/171.80 (P9(x14131,x14131)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(1414,plain,
% 171.69/171.80 (P15(f5(f13(a1),f9(x14141)))),
% 171.69/171.80 inference(scs_inference,[],[161,57,52,53,1334,1357,1182,1318,1325,1152,1312,899,191,165,1061,1159,268,450,189,338,59,106,90,25,17,18,3,21,2,66,73,71,105,110,20,64])).
% 171.69/171.80 cnf(1425,plain,
% 171.69/171.80 (P7(f5(f13(x14251),a1),f13(x14251))),
% 171.69/171.80 inference(scs_inference,[],[161,57,52,1413,53,1334,1357,1182,1318,1386,1325,1397,1152,1312,899,191,165,1061,550,1159,518,268,450,210,189,338,49,59,106,90,25,17,18,3,21,2,66,73,71,105,110,20,64,117,19,112,33,16,31,109])).
% 171.69/171.80 cnf(1430,plain,
% 171.69/171.80 (P7(f7(f10(a4)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[53,1414,1405,182,22,90])).
% 171.69/171.80 cnf(1434,plain,
% 171.69/171.80 (P7(a1,f13(x14341))),
% 171.69/171.80 inference(scs_inference,[],[53,1388,1414,1391,1383,1405,459,182,22,90,25,17])).
% 171.69/171.80 cnf(1437,plain,
% 171.69/171.80 (~P7(x14371,f7(f13(a1)))),
% 171.69/171.80 inference(rename_variables,[],[131])).
% 171.69/171.80 cnf(1438,plain,
% 171.69/171.80 (E(f11(f9(x14381),f9(x14382),f9(x14383)),f11(a1,a1,f9(x14384)))),
% 171.69/171.80 inference(scs_inference,[],[131,53,1388,1414,1391,1396,1383,1405,187,459,182,22,90,25,17,18,3])).
% 171.69/171.80 cnf(1443,plain,
% 171.69/171.80 (~P3(f10(a4),f13(f9(x14431)))),
% 171.69/171.80 inference(scs_inference,[],[131,51,52,53,1388,1414,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111])).
% 171.69/171.80 cnf(1446,plain,
% 171.69/171.80 (~P7(f10(a4),f13(f9(x14461)))),
% 171.69/171.80 inference(scs_inference,[],[131,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111,36,89])).
% 171.69/171.80 cnf(1448,plain,
% 171.69/171.80 (~P9(f10(a4),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[131,1437,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111,36,89,110])).
% 171.69/171.80 cnf(1451,plain,
% 171.69/171.80 (~P9(f10(a4),f9(x14511))),
% 171.69/171.80 inference(scs_inference,[],[131,1437,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111,36,89,110,91])).
% 171.69/171.80 cnf(1453,plain,
% 171.69/171.80 (~P7(f10(a4),f7(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[131,1437,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111,36,89,110,91,107])).
% 171.69/171.80 cnf(1455,plain,
% 171.69/171.80 (~E(a1,f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[122,131,1437,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,182,22,90,25,17,18,3,21,2,111,36,89,110,91,107,20])).
% 171.69/171.80 cnf(1457,plain,
% 171.69/171.80 (~P3(f10(a4),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[122,131,1437,51,52,53,1388,1414,1309,1363,1391,1396,1376,1383,1405,187,459,373,182,22,90,25,17,18,3,21,2,111,36,89,110,91,107,20,26])).
% 171.69/171.80 cnf(1476,plain,
% 171.69/171.80 (E(f5(x14761,f9(x14762)),f5(x14761,a1))),
% 171.69/171.80 inference(rename_variables,[],[182])).
% 171.69/171.80 cnf(1477,plain,
% 171.69/171.80 (P3(f7(f10(a4)),a4)),
% 171.69/171.80 inference(scs_inference,[],[1401,1430,1403,182,24,112])).
% 171.69/171.80 cnf(1480,plain,
% 171.69/171.80 (E(f5(x14801,f9(x14802)),f5(x14801,a1))),
% 171.69/171.80 inference(rename_variables,[],[182])).
% 171.69/171.80 cnf(1481,plain,
% 171.69/171.80 (P3(f5(f13(x14811),a1),f13(x14811))),
% 171.69/171.80 inference(scs_inference,[],[1385,1401,1430,1425,1403,182,1476,24,112,23,89])).
% 171.69/171.80 cnf(1483,plain,
% 171.69/171.80 (~P3(f5(f13(f12(a8)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[57,1385,1401,1430,1425,1062,1403,182,1476,24,112,23,89,90])).
% 171.69/171.80 cnf(1486,plain,
% 171.69/171.80 (P9(f11(a1,a1,f9(x14861)),f11(f9(x14862),f9(x14863),f9(x14864)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,1385,1401,1438,1430,1425,1062,1403,182,1476,24,112,23,89,90,20])).
% 171.69/171.80 cnf(1487,plain,
% 171.69/171.80 (P9(x14871,x14871)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(1489,plain,
% 171.69/171.80 (P3(f7(x14891),x14891)),
% 171.69/171.80 inference(rename_variables,[],[53])).
% 171.69/171.80 cnf(1493,plain,
% 171.69/171.80 (E(f5(x14931,f9(x14932)),f5(x14931,a1))),
% 171.69/171.80 inference(rename_variables,[],[182])).
% 171.69/171.80 cnf(1496,plain,
% 171.69/171.80 (P9(f11(f9(x14961),f9(x14962),f9(x14963)),f11(a1,a1,f9(x14964)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,1487,53,1489,1393,1395,1385,1401,1438,1430,1400,1457,1425,1062,1403,182,1476,1480,1493,24,112,23,89,90,20,25,26,18,3,21])).
% 171.69/171.80 cnf(1498,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x14981)),f11(f9(x14982),f9(x14983),f9(x14984)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,1487,53,1489,1393,1395,1385,1401,1438,1430,1400,1457,1425,1062,1403,182,1476,1480,1493,24,112,23,89,90,20,25,26,18,3,21,2])).
% 171.69/171.80 cnf(1521,plain,
% 171.69/171.80 (~P7(f10(a4),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[1457,89])).
% 171.69/171.80 cnf(1523,plain,
% 171.69/171.80 (P7(f7(f10(a4)),a4)),
% 171.69/171.80 inference(scs_inference,[],[1477,1457,268,89,90])).
% 171.69/171.80 cnf(1525,plain,
% 171.69/171.80 (P9(f11(a1,a1,f9(x15251)),f11(f9(x15252),a1,f9(x15253)))),
% 171.69/171.80 inference(scs_inference,[],[52,1477,1396,1457,268,89,90,20])).
% 171.69/171.80 cnf(1527,plain,
% 171.69/171.80 (~E(a1,f5(f13(f12(a8)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[52,1477,1434,1396,1457,1062,268,89,90,20,17])).
% 171.69/171.80 cnf(1531,plain,
% 171.69/171.80 (~E(f13(a4),f13(f9(x15311)))),
% 171.69/171.80 inference(scs_inference,[],[52,1443,1477,1434,1396,1457,446,1062,1403,268,177,89,90,20,17,25,26])).
% 171.69/171.80 cnf(1532,plain,
% 171.69/171.80 (~E(f13(f12(a8)),f13(f9(x15321)))),
% 171.69/171.80 inference(scs_inference,[],[52,1443,1477,1434,1396,1457,895,446,1062,1403,268,177,338,89,90,20,17,25,26,18])).
% 171.69/171.80 cnf(1533,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x15331)),f11(f9(x15332),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[52,1498,1443,1477,1434,1396,1457,895,274,446,1062,1403,268,177,338,89,90,20,17,25,26,18,3])).
% 171.69/171.80 cnf(1534,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x15341)),f11(f9(x15342),f9(x15343),f9(x15344)))),
% 171.69/171.80 inference(rename_variables,[],[1498])).
% 171.69/171.80 cnf(1536,plain,
% 171.69/171.80 (~P9(a4,f5(f13(f9(x15361)),f9(x15362)))),
% 171.69/171.80 inference(scs_inference,[],[52,1498,1443,1477,1434,1396,1383,1457,895,274,446,1062,785,1403,268,177,338,89,90,20,17,25,26,18,3,21])).
% 171.69/171.80 cnf(1538,plain,
% 171.69/171.80 (~P2(f5(f13(f12(a8)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[47,52,1498,1443,1455,1477,1434,1396,1383,1457,895,274,446,1062,785,1403,268,177,338,89,90,20,17,25,26,18,3,21,2,70])).
% 171.69/171.80 cnf(1541,plain,
% 171.69/171.80 (~P7(a4,f7(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[47,52,1498,1534,1443,1455,1477,1434,1396,1383,1457,895,274,446,1062,785,1403,268,177,338,89,90,20,17,25,26,18,3,21,2,70,22,107])).
% 171.69/171.80 cnf(1543,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f5(a4,f9(x15431)))),
% 171.69/171.80 inference(scs_inference,[],[47,52,1498,1534,1443,1455,1477,1142,1434,1396,1383,1457,895,274,446,1062,785,1403,268,177,338,89,90,20,17,25,26,18,3,21,2,70,22,107,110])).
% 171.69/171.80 cnf(1557,plain,
% 171.69/171.80 (~P7(x15571,f5(f13(a1),f9(x15572)))),
% 171.69/171.80 inference(scs_inference,[],[51,1318,1273,42,83,111])).
% 171.69/171.80 cnf(1560,plain,
% 171.69/171.80 (P9(f5(f13(a1),f9(x15601)),x15602)),
% 171.69/171.80 inference(scs_inference,[],[51,1318,1273,42,83,111,109])).
% 171.69/171.80 cnf(1564,plain,
% 171.69/171.80 (P7(f7(f10(a4)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[121,51,1523,1318,1273,42,83,111,109,91,110])).
% 171.69/171.80 cnf(1566,plain,
% 171.69/171.80 (P3(f5(f10(a2),f9(x15661)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[121,51,1523,1355,1318,1273,42,83,111,109,91,110,89])).
% 171.69/171.80 cnf(1568,plain,
% 171.69/171.80 (P3(f7(f9(x15681)),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[121,51,1523,1264,1355,1318,1273,459,42,83,111,109,91,110,89,25])).
% 171.69/171.80 cnf(1569,plain,
% 171.69/171.80 (P7(f7(f13(a1)),f13(x15691))),
% 171.69/171.80 inference(scs_inference,[],[121,51,1523,1264,1355,1318,1434,1273,1156,459,42,83,111,109,91,110,89,25,17])).
% 171.69/171.80 cnf(1570,plain,
% 171.69/171.80 (E(f11(f9(x15701),a1,a1),f11(f9(x15702),f9(x15703),f9(x15704)))),
% 171.69/171.80 inference(scs_inference,[],[121,51,1523,1264,1355,1318,1325,1434,1273,455,1156,459,42,83,111,109,91,110,89,25,17,3])).
% 171.69/171.80 cnf(1575,plain,
% 171.69/171.80 (E(f11(f9(x15751),a1,a1),f11(a1,a1,f9(x15752)))),
% 171.69/171.80 inference(scs_inference,[],[121,51,52,1533,1523,1264,1451,1355,1318,1325,1434,1273,455,1156,459,42,83,111,109,91,110,89,25,17,3,21,2])).
% 171.69/171.80 cnf(1576,plain,
% 171.69/171.80 (P3(f10(f10(a4)),f13(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[121,51,52,1533,1523,1264,1451,1355,1318,1325,1405,1434,1273,455,1156,459,42,83,111,109,91,110,89,25,17,3,21,2,73])).
% 171.69/171.80 cnf(1578,plain,
% 171.69/171.80 (~P2(f10(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[121,51,52,1533,1523,1264,1451,1355,1318,1325,1405,1434,1273,455,1156,459,42,83,111,109,91,110,89,25,17,3,21,2,73,71])).
% 171.69/171.80 cnf(1606,plain,
% 171.69/171.80 (P15(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1135,1225,102])).
% 171.69/171.80 cnf(1610,plain,
% 171.69/171.80 (P7(f5(f10(a4),f9(x16101)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[1566,1451,1135,1225,102,84,109])).
% 171.69/171.80 cnf(1612,plain,
% 171.69/171.80 (~P9(f5(f13(f12(a8)),f13(a1)),a1)),
% 171.69/171.80 inference(scs_inference,[],[1483,1566,1451,1135,1225,102,84,109,91])).
% 171.69/171.80 cnf(1616,plain,
% 171.69/171.80 (~P7(f10(a4),f10(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[1483,1521,1566,528,1451,1135,1225,102,84,109,91,107,110])).
% 171.69/171.80 cnf(1621,plain,
% 171.69/171.80 (~E(f13(f12(a8)),f13(f9(x16211)))),
% 171.69/171.80 inference(rename_variables,[],[1532])).
% 171.69/171.80 cnf(1622,plain,
% 171.69/171.80 (P9(f11(f9(x16221),a1,a1),f11(f9(x16222),f9(x16223),f9(x16224)))),
% 171.69/171.80 inference(scs_inference,[],[52,1532,1570,1483,1521,1566,528,465,1451,1135,1225,373,102,84,109,91,107,110,17,3,21])).
% 171.69/171.80 cnf(1626,plain,
% 171.69/171.80 (P3(f7(f10(a4)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[52,1532,1621,1570,1483,1521,1566,1564,528,465,1451,1135,1225,373,102,84,109,91,107,110,17,3,21,2,28,89])).
% 171.69/171.80 cnf(1628,plain,
% 171.69/171.80 (P3(f7(f11(a1,a1,a1)),f11(f9(x16281),f9(x16282),f9(x16283)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1532,1621,1570,1483,1521,1566,1564,528,465,1451,569,1135,1225,373,102,84,109,91,107,110,17,3,21,2,28,89,26])).
% 171.69/171.80 cnf(1630,plain,
% 171.69/171.80 (~P7(x16301,f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1557,1532,1621,1570,1483,1521,1566,1564,528,465,1451,569,1135,1225,453,373,102,84,109,91,107,110,17,3,21,2,28,89,26,18])).
% 171.69/171.80 cnf(1649,plain,
% 171.69/171.80 (P17(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1256,1225,106])).
% 171.69/171.80 cnf(1651,plain,
% 171.69/171.80 (~P7(f13(f12(a8)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[378,1256,1403,1225,106,112])).
% 171.69/171.80 cnf(1653,plain,
% 171.69/171.80 (P9(f5(f13(a1),a1),x16531)),
% 171.69/171.80 inference(scs_inference,[],[1630,378,1256,1403,1225,106,112,109])).
% 171.69/171.80 cnf(1654,plain,
% 171.69/171.80 (~P7(x16541,f5(f13(a1),a1))),
% 171.69/171.80 inference(rename_variables,[],[1630])).
% 171.69/171.80 cnf(1656,plain,
% 171.69/171.80 (P3(f5(f13(a1),a1),f13(x16561))),
% 171.69/171.80 inference(scs_inference,[],[1630,378,1256,1403,1225,106,112,109,91])).
% 171.69/171.80 cnf(1658,plain,
% 171.69/171.80 (~P9(a2,f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,378,1256,1403,1225,106,112,109,91,110])).
% 171.69/171.80 cnf(1661,plain,
% 171.69/171.80 (~P3(f10(a4),f10(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1616,440,378,1256,1403,1225,106,112,109,91,110,90])).
% 171.69/171.80 cnf(1664,plain,
% 171.69/171.80 (P3(f7(f9(x16641)),a1)),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1616,1568,440,378,1256,450,1403,1225,106,112,109,91,110,90,26])).
% 171.69/171.80 cnf(1666,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x16661)),f11(a1,a1,f9(x16662)))),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1616,1568,1533,1575,1523,371,440,378,1256,450,1403,1225,106,112,109,91,110,90,26,17,3])).
% 171.69/171.80 cnf(1668,plain,
% 171.69/171.80 (~P9(f10(a4),a1)),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1616,1568,1448,1533,1575,1523,371,440,378,1156,1256,450,1403,1225,106,112,109,91,110,90,26,17,3,21])).
% 171.69/171.80 cnf(1670,plain,
% 171.69/171.80 (P16(f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1616,1568,1448,1533,1575,1523,371,1396,440,378,1156,1256,450,1403,1225,106,112,109,91,110,90,26,17,3,21,2,66])).
% 171.69/171.80 cnf(1674,plain,
% 171.69/171.80 (P9(f10(f10(a4)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[128,1630,1654,1576,1616,1568,1448,1533,1575,1523,371,1396,440,378,1156,1256,450,1403,1225,106,112,109,91,110,90,26,17,3,21,2,66,105,108])).
% 171.69/171.80 cnf(1681,plain,
% 171.69/171.80 (P7(f5(f10(a4),a1),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[1668,109])).
% 171.69/171.80 cnf(1683,plain,
% 171.69/171.80 (~P7(f10(a4),f5(f10(a4),a1))),
% 171.69/171.80 inference(scs_inference,[],[1668,109,107])).
% 171.69/171.80 cnf(1685,plain,
% 171.69/171.80 (~P3(f13(f12(a8)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[1651,1668,1405,109,107,90])).
% 171.69/171.80 cnf(1687,plain,
% 171.69/171.80 (P7(f9(x16871),f13(x16872))),
% 171.69/171.80 inference(scs_inference,[],[1651,1668,1434,1405,212,109,107,90,17])).
% 171.69/171.80 cnf(1689,plain,
% 171.69/171.80 (E(f11(a1,f9(x16891),f9(x16892)),f11(a1,a1,f9(x16893)))),
% 171.69/171.80 inference(scs_inference,[],[1651,1661,1668,436,1575,1434,1405,1403,212,109,107,90,17,26,3])).
% 171.69/171.80 cnf(1696,plain,
% 171.69/171.80 (~P7(f13(f12(a8)),f10(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[52,1628,1527,1651,1661,1674,1658,1668,436,1575,1434,1405,1403,212,109,107,90,17,26,3,21,2,75,110])).
% 171.69/171.80 cnf(1698,plain,
% 171.69/171.80 (~E(f5(f13(a1),a1),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[52,1628,1653,1527,1144,1651,1661,1674,1658,1668,436,1575,1434,1405,1403,212,109,107,90,17,26,3,21,2,75,110,20])).
% 171.69/171.80 cnf(1712,plain,
% 171.69/171.80 (P3(f5(f10(a4),a1),a4)),
% 171.69/171.80 inference(scs_inference,[],[1681,1403,112])).
% 171.69/171.80 cnf(1714,plain,
% 171.69/171.80 (P7(f5(f13(a1),a1),f13(x17141))),
% 171.69/171.80 inference(scs_inference,[],[57,1656,1681,1403,112,90])).
% 171.69/171.80 cnf(1717,plain,
% 171.69/171.80 (P3(f7(f11(a1,x17171,x17172)),f11(f9(x17173),x17171,x17172))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1656,1681,457,1403,112,90,26])).
% 171.69/171.80 cnf(1719,plain,
% 171.69/171.80 (~E(f5(f10(a4),a1),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1656,1681,1651,457,1403,112,90,26,17])).
% 171.69/171.80 cnf(1720,plain,
% 171.69/171.80 (~E(f5(f13(a1),f9(x17201)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[57,53,1656,1698,1681,1651,457,453,1403,112,90,26,17,3])).
% 171.69/171.80 cnf(1722,plain,
% 171.69/171.80 (P9(f11(a1,f9(x17221),f9(x17222)),f11(a1,a1,f9(x17223)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,53,1656,1698,1681,1689,1651,457,453,1403,112,90,26,17,3,21])).
% 171.69/171.80 cnf(1723,plain,
% 171.69/171.80 (P9(x17231,x17231)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(1724,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x17241)),f11(a1,f9(x17242),f9(x17243)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,53,1656,1698,1681,1689,1651,457,453,1403,112,90,26,17,3,21,2])).
% 171.69/171.80 cnf(1726,plain,
% 171.69/171.80 (P9(f11(a1,a1,f9(x17261)),f11(a1,f9(x17262),f9(x17263)))),
% 171.69/171.80 inference(scs_inference,[],[57,52,1723,53,1656,1698,1681,1689,1651,457,453,1403,112,90,26,17,3,21,2,30,20])).
% 171.69/171.80 cnf(1756,plain,
% 171.69/171.80 (P3(f11(f9(x17561),a1,a1),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[51,1538,1578,1696,1566,1533,334,1135,86,29,90,25])).
% 171.69/171.80 cnf(1759,plain,
% 171.69/171.80 (~E(f13(a2),f13(f9(x17591)))),
% 171.69/171.80 inference(scs_inference,[],[51,1538,1578,1696,1219,1566,1533,334,1135,195,86,29,90,25,26])).
% 171.69/171.80 cnf(1762,plain,
% 171.69/171.80 (E(f14(f9(x17621),f9(x17622)),f14(a1,f9(x17623)))),
% 171.69/171.80 inference(scs_inference,[],[51,1714,1538,1578,1696,1220,1219,1566,839,1533,334,454,1135,195,86,29,90,25,26,17,3])).
% 171.69/171.80 cnf(1764,plain,
% 171.69/171.80 (~P9(f5(f13(f12(a8)),f13(a1)),f9(x17641))),
% 171.69/171.80 inference(scs_inference,[],[51,1714,1538,1578,1696,1220,1612,1219,1566,839,1533,334,454,1135,175,195,86,29,90,25,26,17,3,21])).
% 171.69/171.80 cnf(1765,plain,
% 171.69/171.80 (~E(f13(f12(a8)),f5(f10(a4),a1))),
% 171.69/171.80 inference(scs_inference,[],[51,1714,1538,1719,1578,1696,1220,1612,1219,1566,839,1533,334,454,1135,175,195,86,29,90,25,26,17,3,21,2])).
% 171.69/171.80 cnf(1770,plain,
% 171.69/171.80 (P3(f5(f10(a4),f9(x17701)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[51,1714,1538,1719,1578,1696,1724,1220,1612,1610,1219,1566,839,1533,334,454,1135,175,195,86,29,90,25,26,17,3,21,2,7,32,24,33,89])).
% 171.69/171.80 cnf(1774,plain,
% 171.69/171.80 (P2(f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[53,1630,1273,46,87,90])).
% 171.69/171.80 cnf(1779,plain,
% 171.69/171.80 (P9(x17791,x17791)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(1781,plain,
% 171.69/171.80 (~E(f13(f10(a4)),f10(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1770,1685,1536,1630,1661,1273,177,46,87,90,20,25,26])).
% 171.69/171.80 cnf(1783,plain,
% 171.69/171.80 (P7(f5(f13(a1),f9(x17831)),f13(x17832))),
% 171.69/171.80 inference(scs_inference,[],[52,53,1770,1685,1536,1714,1630,1661,1273,177,453,46,87,90,20,25,26,17])).
% 171.69/171.80 cnf(1784,plain,
% 171.69/171.80 (E(f5(x17841,a1),f5(x17841,f9(x17842)))),
% 171.69/171.80 inference(rename_variables,[],[453])).
% 171.69/171.80 cnf(1786,plain,
% 171.69/171.80 (E(f14(f9(x17861),f9(x17862)),f14(a1,f9(x17863)))),
% 171.69/171.80 inference(rename_variables,[],[1762])).
% 171.69/171.80 cnf(1788,plain,
% 171.69/171.80 (~E(f5(f13(f12(a8)),f13(a1)),f9(x17881))),
% 171.69/171.80 inference(scs_inference,[],[52,1779,53,1764,1762,1770,1685,1536,1714,1630,1661,448,1273,177,453,46,87,90,20,25,26,17,3,21])).
% 171.69/171.80 cnf(1790,plain,
% 171.69/171.80 (E(f14(a1,f9(x17901)),f14(f9(x17902),f9(x17903)))),
% 171.69/171.80 inference(scs_inference,[],[52,1779,53,1764,1762,1786,1770,1685,1536,1714,1630,1661,448,1273,177,453,46,87,90,20,25,26,17,3,21,2])).
% 171.69/171.80 cnf(1791,plain,
% 171.69/171.80 (E(f5(f13(a1),a1),a1)),
% 171.69/171.80 inference(scs_inference,[],[52,1779,53,1764,1762,1786,1770,1685,1536,1714,1630,1661,448,1273,177,453,46,87,90,20,25,26,17,3,21,2,59])).
% 171.69/171.80 cnf(1794,plain,
% 171.69/171.80 (P2(f5(f13(a1),f9(x17941)))),
% 171.69/171.80 inference(scs_inference,[],[52,1779,53,1764,1762,1786,1770,1685,1536,1714,1630,1661,448,249,1273,177,453,1784,46,87,90,20,25,26,17,3,21,2,59,35,29])).
% 171.69/171.80 cnf(1805,plain,
% 171.69/171.80 (~P7(x18051,f11(a1,a1,f9(x18052)))+~E(f7(a2),f11(f9(x18053),a1,a1))+P7(x18051,f11(a1,a1,f9(x18054)))),
% 171.69/171.80 inference(scs_inference,[],[52,1779,53,1764,1762,1786,1756,1770,1666,1685,1536,1714,1630,1661,448,249,1273,177,453,1784,46,49,87,90,20,25,26,17,3,21,2,59,35,29,1089,111,19,30,34,16,108,18])).
% 171.69/171.80 cnf(1808,plain,
% 171.69/171.80 (P7(f5(f10(a4),a1),a4)),
% 171.69/171.80 inference(scs_inference,[],[1712,268,90])).
% 171.69/171.80 cnf(1810,plain,
% 171.69/171.80 (P9(f14(f9(x18101),f9(x18102)),f14(a1,f9(x18103)))),
% 171.69/171.80 inference(scs_inference,[],[52,1790,1712,268,90,20])).
% 171.69/171.80 cnf(1811,plain,
% 171.69/171.80 (P9(x18111,x18111)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(1816,plain,
% 171.69/171.80 (P9(f14(a1,f9(x18161)),f14(f9(x18162),f9(x18163)))),
% 171.69/171.80 inference(scs_inference,[],[52,1811,53,1790,1765,1712,446,268,182,90,20,26,3,21])).
% 171.69/171.80 cnf(1818,plain,
% 171.69/171.80 (~E(f13(f12(a8)),f5(f13(a1),f9(x18181)))),
% 171.69/171.80 inference(scs_inference,[],[52,1811,53,1790,1765,1720,1712,446,268,182,90,20,26,3,21,2])).
% 171.69/171.80 cnf(1821,plain,
% 171.69/171.80 (~P7(a4,f5(f10(a4),a1))),
% 171.69/171.80 inference(scs_inference,[],[52,1811,53,1790,1765,1720,1712,1312,446,268,182,90,20,26,3,21,2,112,107])).
% 171.69/171.80 cnf(1825,plain,
% 171.69/171.80 (~E(f5(f13(a1),f9(x18251)),f10(a4))),
% 171.69/171.80 inference(scs_inference,[],[52,1811,53,1783,1790,1765,1720,1712,1446,1541,1312,446,268,182,338,90,20,26,3,21,2,112,107,110,17])).
% 171.69/171.80 cnf(1827,plain,
% 171.69/171.80 (P3(f14(a8,f14(a8,a4)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[52,1811,53,1783,1790,1765,1720,1712,1446,1541,1312,446,210,268,182,338,49,90,20,26,3,21,2,112,107,110,17,114])).
% 171.69/171.80 cnf(1849,plain,
% 171.69/171.80 (P7(f5(f10(a4),a1),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[121,1808,110])).
% 171.69/171.80 cnf(1852,plain,
% 171.69/171.80 (E(f14(f9(x18521),f9(x18522)),f14(a1,f9(x18523)))),
% 171.69/171.80 inference(rename_variables,[],[1762])).
% 171.69/171.80 cnf(1853,plain,
% 171.69/171.80 (P7(f5(f10(a4),f9(x18531)),a4)),
% 171.69/171.80 inference(scs_inference,[],[121,1810,1808,1762,453,110,20,17])).
% 171.69/171.80 cnf(1854,plain,
% 171.69/171.80 (E(f5(x18541,a1),f5(x18541,f9(x18542)))),
% 171.69/171.80 inference(rename_variables,[],[453])).
% 171.69/171.80 cnf(1861,plain,
% 171.69/171.80 (E(a1,f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[121,1810,1543,1808,1791,1762,1852,835,183,447,453,1854,110,20,17,26,3,21,2])).
% 171.69/171.80 cnf(1862,plain,
% 171.69/171.80 (~P7(f5(f13(f12(a8)),f5(a4,a1)),f5(a4,a1))),
% 171.69/171.80 inference(scs_inference,[],[121,1810,1543,1808,1791,1762,1852,835,183,447,453,1854,110,20,17,26,3,21,2,113])).
% 171.69/171.80 cnf(1888,plain,
% 171.69/171.80 (P3(f5(f10(a4),a1),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[1849,177,112])).
% 171.69/171.80 cnf(1895,plain,
% 171.69/171.80 (~P7(a4,f5(f10(a4),f9(x18951)))),
% 171.69/171.80 inference(scs_inference,[],[1849,1853,1827,177,112,108,89,107])).
% 171.69/171.80 cnf(1897,plain,
% 171.69/171.80 (P7(f5(f10(a4),f9(x18971)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[121,1849,1853,1827,177,112,108,89,107,110])).
% 171.69/171.80 cnf(1900,plain,
% 171.69/171.80 (E(f14(f9(x19001),f9(x19002)),f14(f9(x19003),f9(x19004)))),
% 171.69/171.80 inference(scs_inference,[],[56,121,1849,1853,1774,1827,185,1790,177,112,108,89,107,110,29,3])).
% 171.69/171.80 cnf(1902,plain,
% 171.69/171.80 (~E(f13(f9(x19021)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[56,121,1759,1849,1853,1774,1827,185,1790,177,112,108,89,107,110,29,3,2])).
% 171.69/171.80 cnf(1936,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f5(f10(a4),a1))),
% 171.69/171.80 inference(scs_inference,[],[1821,1897,338,107,110])).
% 171.69/171.80 cnf(1938,plain,
% 171.69/171.80 (P7(f7(f10(a2)),a2)),
% 171.69/171.80 inference(scs_inference,[],[56,1821,1897,1003,338,107,110,90])).
% 171.69/171.80 cnf(1943,plain,
% 171.69/171.80 (P9(f11(f9(x19431),a1,f9(x19432)),f11(f9(x19433),f9(x19434),f9(x19435)))),
% 171.69/171.80 inference(rename_variables,[],[1361])).
% 171.69/171.80 cnf(1946,plain,
% 171.69/171.80 (P3(f7(f9(x19461)),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[56,1361,1821,1897,1861,1664,1687,1446,1334,1003,1443,1222,338,107,110,90,25,20,17,26])).
% 171.69/171.80 cnf(1952,plain,
% 171.69/171.80 (E(f11(f9(x19521),f9(x19522),f9(x19523)),f11(f9(x19524),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[56,1361,1943,1821,1818,1897,1861,1664,1687,1446,1334,1003,1443,1222,638,1570,453,338,107,110,90,25,20,17,26,3,21,2])).
% 171.69/171.80 cnf(1953,plain,
% 171.69/171.80 (E(f5(f13(a1),f9(x19531)),a1)),
% 171.69/171.80 inference(scs_inference,[],[56,1361,1943,1821,1818,1897,1861,1664,1794,1687,1446,1334,1003,1443,1222,638,1570,453,338,107,110,90,25,20,17,26,3,21,2,59])).
% 171.69/171.80 cnf(1955,plain,
% 171.69/171.80 (P8(f5(f10(a2),f9(x19551)))),
% 171.69/171.80 inference(scs_inference,[],[56,1361,1943,1821,1818,1897,1861,1664,1794,1687,1446,1334,1003,1443,1222,638,1566,1256,1570,453,338,107,110,90,25,20,17,26,3,21,2,59,88])).
% 171.69/171.80 cnf(1971,plain,
% 171.69/171.80 (~P7(a2,f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[1938,107])).
% 171.69/171.80 cnf(1973,plain,
% 171.69/171.80 (P7(f11(f9(x19731),x19732,f9(x19733)),f13(f11(a1,x19732,a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,1938,535,107,90])).
% 171.69/171.80 cnf(1976,plain,
% 171.69/171.80 (P3(f11(f9(x19761),x19762,a1),f13(f11(a1,x19762,a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,1938,535,186,107,90,25])).
% 171.69/171.80 cnf(1978,plain,
% 171.69/171.80 (P9(f10(a1),f10(f9(x19781)))),
% 171.69/171.80 inference(scs_inference,[],[57,1938,535,181,186,52,107,90,25,20])).
% 171.69/171.80 cnf(1980,plain,
% 171.69/171.80 (P7(f11(f9(x19801),f9(x19802),f9(x19803)),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,1938,535,181,1325,186,52,107,90,25,20,17])).
% 171.69/171.80 cnf(1982,plain,
% 171.69/171.80 (E(f9(x19821),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[175,57,1938,535,1861,181,1325,186,52,107,90,25,20,17,3])).
% 171.69/171.80 cnf(1983,plain,
% 171.69/171.80 (~P9(f13(f12(a8)),f5(f10(a4),f9(x19831)))),
% 171.69/171.80 inference(scs_inference,[],[175,57,1936,1938,535,1861,181,1325,186,182,52,107,90,25,20,17,3,21])).
% 171.69/171.80 cnf(2004,plain,
% 171.69/171.80 (P3(f14(a3,f12(a3)),f13(f12(a3)))),
% 171.69/171.80 inference(scs_inference,[],[177,48,114])).
% 171.69/171.80 cnf(2009,plain,
% 171.69/171.80 (P3(f7(a1),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[177,1980,1946,191,48,114,107,25])).
% 171.69/171.80 cnf(2013,plain,
% 171.69/171.80 (P7(f11(a1,a1,f9(x20131)),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,1980,1946,1061,456,191,48,114,107,25,18,17])).
% 171.69/171.80 cnf(2015,plain,
% 171.69/171.80 (E(f11(f9(x20151),f9(x20152),x20153),f11(a1,a1,x20153))),
% 171.69/171.80 inference(rename_variables,[],[1061])).
% 171.69/171.80 cnf(2019,plain,
% 171.69/171.80 (E(f14(f9(x20191),f9(x20192)),f14(f9(x20193),a1))),
% 171.69/171.80 inference(scs_inference,[],[177,1980,1946,1628,1900,184,1061,2015,456,191,48,114,107,25,18,17,26,3])).
% 171.69/171.80 cnf(2021,plain,
% 171.69/171.80 (E(f5(f13(a1),a1),f9(x20211))),
% 171.69/171.80 inference(scs_inference,[],[177,1982,1980,1946,1628,1900,184,1061,2015,456,191,48,114,107,25,18,17,26,3,2])).
% 171.69/171.80 cnf(2023,plain,
% 171.69/171.80 (P3(f5(f10(a2),f9(x20231)),a2)),
% 171.69/171.80 inference(scs_inference,[],[175,177,1982,1980,1946,1628,1900,184,1355,1061,2015,456,191,195,48,114,107,25,18,17,26,3,2,27,112])).
% 171.69/171.80 cnf(2025,plain,
% 171.69/171.80 (P9(f11(f9(x20251),x20252,a1),f11(a1,x20252,a1))),
% 171.69/171.80 inference(scs_inference,[],[175,177,1982,1980,1976,1946,1628,1900,184,1355,1061,2015,456,191,195,48,114,107,25,18,17,26,3,2,27,112,108])).
% 171.69/171.80 cnf(2048,plain,
% 171.69/171.80 (~P7(f13(f11(a1,x20481,a1)),f11(f9(x20482),x20481,f9(x20483)))),
% 171.69/171.80 inference(scs_inference,[],[1973,493,44,453,86,35,107])).
% 171.69/171.80 cnf(2050,plain,
% 171.69/171.80 (~E(f5(f13(a1),a1),f13(x20501))),
% 171.69/171.80 inference(scs_inference,[],[57,1973,1774,493,44,453,86,35,107,29])).
% 171.69/171.80 cnf(2051,plain,
% 171.69/171.80 (P7(x20511,f13(x20511))),
% 171.69/171.80 inference(scs_inference,[],[57,177,1973,1774,493,44,453,86,35,107,29,90])).
% 171.69/171.80 cnf(2061,plain,
% 171.69/171.80 (~P3(f13(f13(a1)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,177,1973,2019,1781,1902,1774,835,887,567,493,44,189,453,86,35,107,29,90,25,26,3,2,112])).
% 171.69/171.80 cnf(2065,plain,
% 171.69/171.80 (~P9(f13(f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[57,177,1973,2019,1781,1902,1774,835,1606,887,567,493,44,189,453,86,35,107,29,90,25,26,3,2,112,22,91])).
% 171.69/171.80 cnf(2069,plain,
% 171.69/171.80 (P9(f11(f9(x20691),a1,f9(x20692)),f11(f9(x20693),a1,f9(x20694)))),
% 171.69/171.80 inference(scs_inference,[],[57,177,1973,1367,2019,1781,1902,1774,835,1606,187,887,567,493,44,189,453,86,35,107,29,90,25,26,3,2,112,22,91,89,20])).
% 171.69/171.80 cnf(2072,plain,
% 171.69/171.80 (P7(f11(f9(x20721),a1,a1),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[57,177,1973,1367,2019,1781,1902,1774,835,909,1606,187,887,567,493,44,189,453,86,35,107,29,90,25,26,3,2,112,22,91,89,20,17])).
% 171.69/171.80 cnf(2108,plain,
% 171.69/171.80 (P3(f5(a2,f9(x21081)),a2)),
% 171.69/171.80 inference(scs_inference,[],[177,1316,112])).
% 171.69/171.80 cnf(2109,plain,
% 171.69/171.80 (P3(x21091,f13(x21091))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2115,plain,
% 171.69/171.80 (~P7(f13(x21151),x21151)),
% 171.69/171.80 inference(scs_inference,[],[177,2051,1955,1316,1897,182,112,36,89,107])).
% 171.69/171.80 cnf(2118,plain,
% 171.69/171.80 (P7(f5(f10(a2),f9(x21181)),a2)),
% 171.69/171.80 inference(scs_inference,[],[179,177,2051,1955,2023,1794,1316,1897,56,182,112,36,89,107,29,90])).
% 171.69/171.80 cnf(2120,plain,
% 171.69/171.80 (P3(f11(f9(x21201),x21202,x21203),f13(f11(a1,x21202,x21203)))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2109,2051,1955,2023,1794,1316,1897,457,56,182,112,36,89,107,29,90,25])).
% 171.69/171.80 cnf(2121,plain,
% 171.69/171.80 (P3(x21211,f13(x21211))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2127,plain,
% 171.69/171.80 (P9(f11(a1,a1,f9(x21271)),f11(f9(x21272),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[161,128,179,177,2109,2121,2051,1955,1486,2023,1794,1219,1316,1897,274,457,56,182,112,36,89,107,29,90,25,18,17,26,21])).
% 171.69/171.80 cnf(2130,plain,
% 171.69/171.80 (E(f9(x21301),f5(f13(f9(x21302)),f9(x21303)))),
% 171.69/171.80 inference(scs_inference,[],[161,128,179,175,177,2109,2121,2051,1955,1486,2023,1400,1794,1219,1316,1897,274,457,56,182,112,36,89,107,29,90,25,18,17,26,21,3])).
% 171.69/171.80 cnf(2131,plain,
% 171.69/171.80 (E(a1,f5(f13(a1),f9(x21311)))),
% 171.69/171.80 inference(scs_inference,[],[161,128,179,175,177,2109,2121,2051,1955,1486,2023,1953,1400,1794,1219,1316,1897,274,457,56,182,112,36,89,107,29,90,25,18,17,26,21,3,2])).
% 171.69/171.80 cnf(2132,plain,
% 171.69/171.80 (P3(f14(a3,f9(x21321)),f13(f12(a3)))),
% 171.69/171.80 inference(scs_inference,[],[161,128,179,175,177,2109,2121,2051,1955,1486,2023,1953,1400,1794,1219,1316,1897,274,457,944,56,48,182,112,36,89,107,29,90,25,18,17,26,21,3,2,114])).
% 171.69/171.80 cnf(2137,plain,
% 171.69/171.80 (P9(f14(f9(x21371),a1),f14(a1,f9(x21372)))),
% 171.69/171.80 inference(scs_inference,[],[161,128,179,175,177,2109,2121,2051,1955,1486,2023,1953,2019,1976,1810,1400,1794,1219,1316,1897,274,457,944,56,48,182,112,36,89,107,29,90,25,18,17,26,21,3,2,114,98,20])).
% 171.69/171.80 cnf(2167,plain,
% 171.69/171.80 (~P3(f13(f10(a2)),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[179,2115,2013,107,90])).
% 171.69/171.80 cnf(2168,plain,
% 171.69/171.80 (~P7(f13(x21681),x21681)),
% 171.69/171.80 inference(rename_variables,[],[2115])).
% 171.69/171.80 cnf(2170,plain,
% 171.69/171.80 (~E(f13(a1),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2115,2061,2013,107,90,25])).
% 171.69/171.80 cnf(2173,plain,
% 171.69/171.80 (~P7(f13(x21731),x21731)),
% 171.69/171.80 inference(rename_variables,[],[2115])).
% 171.69/171.80 cnf(2176,plain,
% 171.69/171.80 (~P9(f13(f13(a1)),f13(f9(x21761)))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2115,2168,2061,2013,2065,380,544,181,189,107,90,25,18,26,21])).
% 171.69/171.80 cnf(2177,plain,
% 171.69/171.80 (E(f11(a1,f9(x21771),f9(x21772)),f11(a1,f9(x21773),f9(x21774)))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2115,2168,2061,2013,2065,380,544,181,427,189,107,90,25,18,26,21,3])).
% 171.69/171.80 cnf(2179,plain,
% 171.69/171.80 (~E(f13(x21791),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2115,2168,2050,2061,2013,2065,380,544,181,427,189,107,90,25,18,26,21,3,2])).
% 171.69/171.80 cnf(2181,plain,
% 171.69/171.80 (~P7(f13(f11(a1,x21811,a1)),f11(f9(x21812),x21811,a1))),
% 171.69/171.80 inference(scs_inference,[],[179,177,2115,2168,2173,2050,2061,2013,2025,2065,380,1666,544,181,427,189,107,90,25,18,26,21,3,2,22,110])).
% 171.69/171.80 cnf(2203,plain,
% 171.69/171.80 (P7(x22031,f13(x22031))),
% 171.69/171.80 inference(rename_variables,[],[2051])).
% 171.69/171.80 cnf(2205,plain,
% 171.69/171.80 (~P7(a2,f5(f10(a2),f9(x22051)))),
% 171.69/171.80 inference(scs_inference,[],[161,2118,2051,110,107])).
% 171.69/171.80 cnf(2207,plain,
% 171.69/171.80 (~E(f5(f10(a2),f9(x22071)),f13(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[161,2167,2118,2051,1566,110,107,25])).
% 171.69/171.80 cnf(2212,plain,
% 171.69/171.80 (E(f5(f13(f9(x22121)),f9(x22122)),f9(x22123))),
% 171.69/171.80 inference(scs_inference,[],[161,2130,2176,2167,2170,2131,2118,1664,2051,1566,373,52,110,107,25,26,21,3,2])).
% 171.69/171.80 cnf(2216,plain,
% 171.69/171.80 (~P3(f13(f10(a4)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[161,177,2130,2176,2167,2170,2131,2118,1664,2051,2203,1457,1566,748,373,49,52,110,107,25,26,21,3,2,116,112])).
% 171.69/171.80 cnf(2219,plain,
% 171.69/171.80 (P7(f5(f13(a2),f7(a2)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[161,177,2130,2176,2167,2170,2131,2118,1664,2051,2203,1457,1566,748,373,49,52,110,107,25,26,21,3,2,116,112,109])).
% 171.69/171.80 cnf(2221,plain,
% 171.69/171.80 (~P3(f13(a2),f13(f7(a2)))),
% 171.69/171.80 inference(scs_inference,[],[161,177,2130,2176,2167,2170,2131,2118,1664,2051,2203,1457,1566,748,373,49,52,110,107,25,26,21,3,2,116,112,109,108])).
% 171.69/171.80 cnf(2223,plain,
% 171.69/171.80 (~P7(f13(f10(a4)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[161,177,2130,2176,2167,2170,2131,2118,1664,2051,2203,1457,1566,748,373,49,52,110,107,25,26,21,3,2,116,112,109,108,89])).
% 171.69/171.80 cnf(2241,plain,
% 171.69/171.80 (P3(f14(a8,f12(a8)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[177,49,114])).
% 171.69/171.80 cnf(2242,plain,
% 171.69/171.80 (P3(x22421,f13(x22421))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2244,plain,
% 171.69/171.80 (P3(f5(f13(a2),f7(a2)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[177,2242,2219,49,114,112])).
% 171.69/171.80 cnf(2245,plain,
% 171.69/171.80 (P3(x22451,f13(x22451))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2247,plain,
% 171.69/171.80 (P9(f14(a3,f9(x22471)),f12(a3))),
% 171.69/171.80 inference(scs_inference,[],[177,2242,2132,2219,49,114,112,108])).
% 171.69/171.80 cnf(2253,plain,
% 171.69/171.80 (P3(f14(x22531,f9(x22532)),f13(f14(x22531,a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2242,2245,2132,2219,1681,454,49,114,112,108,89,107,25])).
% 171.69/171.80 cnf(2254,plain,
% 171.69/171.80 (P3(x22541,f13(x22541))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2255,plain,
% 171.69/171.80 (~P7(f13(f11(a1,a1,a1)),f11(a1,f9(x22551),f9(x22552)))),
% 171.69/171.80 inference(scs_inference,[],[177,2242,2245,2181,2132,2219,436,1681,454,49,114,112,108,89,107,25,18])).
% 171.69/171.80 cnf(2261,plain,
% 171.69/171.80 (P9(f11(f9(x22611),a1,a1),f11(a1,f9(x22612),f9(x22613)))),
% 171.69/171.80 inference(scs_inference,[],[177,2242,2245,2254,2181,1622,2072,2132,2219,2221,384,436,188,1681,454,49,114,112,108,89,107,25,18,17,26,21])).
% 171.69/171.80 cnf(2264,plain,
% 171.69/171.80 (E(f9(x22641),f5(f13(a1),f9(x22642)))),
% 171.69/171.80 inference(scs_inference,[],[175,177,2242,2245,2254,2181,1622,2072,2132,2219,2221,2131,384,436,188,1681,454,49,114,112,108,89,107,25,18,17,26,21,3])).
% 171.69/171.80 cnf(2265,plain,
% 171.69/171.80 (~E(f13(f10(a2)),f5(f10(a2),f9(x22651)))),
% 171.69/171.80 inference(scs_inference,[],[175,177,2242,2245,2254,2181,1622,2207,2072,2132,2219,2221,2131,384,436,188,1681,454,49,114,112,108,89,107,25,18,17,26,21,3,2])).
% 171.69/171.80 cnf(2292,plain,
% 171.69/171.80 (P11(f5(f13(a2),f7(a2)))),
% 171.69/171.80 inference(scs_inference,[],[2244,40,93,97])).
% 171.69/171.80 cnf(2296,plain,
% 171.69/171.80 (P16(f5(f13(a2),f7(a2)))),
% 171.69/171.80 inference(scs_inference,[],[2244,40,42,46,93,97,101,105])).
% 171.69/171.80 cnf(2298,plain,
% 171.69/171.80 (~P9(f13(f10(a4)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[2216,2244,40,42,46,93,97,101,105,91])).
% 171.69/171.80 cnf(2303,plain,
% 171.69/171.80 (P3(x23031,f13(x23031))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2306,plain,
% 171.69/171.80 (~E(f5(f10(a2),f9(x23061)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[177,2216,2255,2244,2221,2115,2118,455,40,42,46,93,97,101,105,91,89,25,18,17])).
% 171.69/171.80 cnf(2308,plain,
% 171.69/171.80 (~E(f13(x23081),f5(f13(a1),f9(x23082)))),
% 171.69/171.80 inference(scs_inference,[],[182,177,2179,2216,2255,2244,2221,2115,2118,455,40,42,46,93,97,101,105,91,89,25,18,17,3])).
% 171.69/171.80 cnf(2310,plain,
% 171.69/171.80 (E(f5(f13(a1),f9(x23101)),f9(x23102))),
% 171.69/171.80 inference(scs_inference,[],[182,177,2179,2216,2264,2255,2244,2221,2115,2118,455,40,42,46,93,97,101,105,91,89,25,18,17,3,2])).
% 171.69/171.80 cnf(2314,plain,
% 171.69/171.80 (P9(f14(x23141,f9(x23142)),f14(x23141,a1))),
% 171.69/171.80 inference(scs_inference,[],[182,177,2303,2179,2216,2253,2264,2255,2244,2221,2115,2118,455,903,40,42,46,49,93,97,101,105,91,89,25,18,17,3,2,115,108])).
% 171.69/171.80 cnf(2318,plain,
% 171.69/171.80 (~P9(a2,f5(f13(a1),f9(x23181)))),
% 171.69/171.80 inference(scs_inference,[],[182,177,2303,2179,2216,2253,2264,2255,1496,2244,1112,2221,2115,2118,1952,455,903,40,42,46,49,93,97,101,105,91,89,25,18,17,3,2,115,108,20,21])).
% 171.69/171.80 cnf(2338,plain,
% 171.69/171.80 (~P3(f13(a2),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[266,2051,112])).
% 171.69/171.80 cnf(2341,plain,
% 171.69/171.80 (P3(f5(f10(a2),a1),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[1178,266,2051,112,89])).
% 171.69/171.80 cnf(2352,plain,
% 171.69/171.80 (P3(f14(a3,a1),f13(f12(a3)))),
% 171.69/171.80 inference(scs_inference,[],[2308,2265,2298,2241,1178,266,2051,516,453,48,57,52,112,89,90,21,3,2,114])).
% 171.69/171.80 cnf(2353,plain,
% 171.69/171.80 (P3(a1,f13(x23531))),
% 171.69/171.80 inference(rename_variables,[],[516])).
% 171.69/171.80 cnf(2361,plain,
% 171.69/171.80 (~P9(f13(a2),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[122,131,2308,2265,2298,2241,1849,1178,266,2051,746,516,2353,453,48,57,49,52,112,89,90,21,3,2,114,117,91])).
% 171.69/171.80 cnf(2365,plain,
% 171.69/171.80 (P9(f14(f9(x23651),a1),f14(f9(x23652),a1))),
% 171.69/171.80 inference(scs_inference,[],[122,131,2308,2314,2265,2298,2241,2019,1849,1178,266,2051,746,516,2353,453,48,57,49,52,112,89,90,21,3,2,114,117,91,107,20])).
% 171.69/171.80 cnf(2384,plain,
% 171.69/171.80 (P7(f5(f13(a2),f13(a1)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[2361,109])).
% 171.69/171.80 cnf(2386,plain,
% 171.69/171.80 (P3(f5(f13(a2),f13(a1)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[177,2361,109,112])).
% 171.69/171.80 cnf(2387,plain,
% 171.69/171.80 (P3(x23871,f13(x23871))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2389,plain,
% 171.69/171.80 (~P7(f13(f12(a3)),f14(a3,f9(x23891)))),
% 171.69/171.80 inference(scs_inference,[],[177,2247,2361,2115,109,112,110])).
% 171.69/171.80 cnf(2390,plain,
% 171.69/171.80 (~P7(f13(x23901),x23901)),
% 171.69/171.80 inference(rename_variables,[],[2115])).
% 171.69/171.80 cnf(2394,plain,
% 171.69/171.80 (~P7(f13(a2),f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2338,2247,2361,2115,109,112,110,89,107])).
% 171.69/171.80 cnf(2396,plain,
% 171.69/171.80 (~P3(f13(f12(a8)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[177,2338,2247,2361,2115,2390,336,109,112,110,89,107,90])).
% 171.69/171.80 cnf(2401,plain,
% 171.69/171.80 (P3(f14(f9(x24011),x24012),f13(f14(a1,x24012)))),
% 171.69/171.80 inference(scs_inference,[],[177,2387,2338,2247,2361,2318,1560,2115,2390,448,336,109,112,110,89,107,90,20,25])).
% 171.69/171.80 cnf(2403,plain,
% 171.69/171.80 (P7(f11(f9(x24031),f9(x24032),a1),f13(f11(a1,a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2387,2338,2247,2361,2318,1560,1980,2115,2390,688,448,336,109,112,110,89,107,90,20,25,17])).
% 171.69/171.80 cnf(2407,plain,
% 171.69/171.80 (P9(f14(f9(x24071),a1),f14(a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[177,2387,2338,2365,2247,2361,2318,1560,1980,2115,2390,185,688,448,336,459,53,109,112,110,89,107,90,20,25,17,26,21])).
% 171.69/171.80 cnf(2410,plain,
% 171.69/171.80 (E(f5(f9(x24101),f9(x24102)),f5(a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,2387,2338,2365,2247,2361,2318,1560,1980,2115,2390,185,688,448,336,459,53,109,112,110,89,107,90,20,25,17,26,21,3])).
% 171.69/171.80 cnf(2413,plain,
% 171.69/171.80 (E(f14(f9(x24131),a1),f14(f9(x24132),f9(x24133)))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,2387,2338,2365,2247,2361,2318,1560,1980,2115,2390,185,2019,688,448,336,459,53,109,112,110,89,107,90,20,25,17,26,21,3,2])).
% 171.69/171.80 cnf(2420,plain,
% 171.69/171.80 (~E(f5(f13(f9(x24201)),f9(x24202)),f13(x24203))),
% 171.69/171.80 inference(scs_inference,[],[183,131,182,177,2387,2338,2365,2247,2361,2318,1560,1357,1980,2115,2390,185,341,1564,2019,688,448,336,746,459,944,57,53,49,109,112,110,89,107,90,20,25,17,26,21,3,2,117,29])).
% 171.69/171.80 cnf(2430,plain,
% 171.69/171.80 (P15(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[2386,44,102])).
% 171.69/171.80 cnf(2432,plain,
% 171.69/171.80 (P11(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[2386,42,44,102,98])).
% 171.69/171.80 cnf(2436,plain,
% 171.69/171.80 (~P9(f13(f13(a2)),f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[2394,2386,2396,1827,2051,42,44,102,98,112,110])).
% 171.69/171.80 cnf(2441,plain,
% 171.69/171.80 (P9(f14(f9(x24411),f9(x24412)),f14(a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[2403,2407,2413,2394,2386,2396,1827,2051,42,44,102,98,112,110,107,20])).
% 171.69/171.80 cnf(2447,plain,
% 171.69/171.80 (P3(x24471,f13(x24471))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2453,plain,
% 171.69/171.80 (P1(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2447,2420,2341,2403,2407,2413,2069,2394,2386,2384,2396,2338,2167,1827,1762,1396,2115,2051,42,44,102,98,112,110,107,20,25,17,26,21,3,2,93])).
% 171.69/171.80 cnf(2456,plain,
% 171.69/171.80 (~P7(f5(f13(a2),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[177,2447,2420,2341,2403,2407,2413,2069,2394,2386,2384,2396,2338,2167,2361,1827,1762,1396,2115,2051,42,44,102,98,112,110,107,20,25,17,26,21,3,2,93,113])).
% 171.69/171.80 cnf(2459,plain,
% 171.69/171.80 (~P3(f5(f13(a2),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[183,177,2447,2420,2341,2403,2407,2413,2069,2394,2386,2384,2396,2338,2167,2361,1827,1762,1396,2115,2051,42,44,57,102,98,112,110,107,20,25,17,26,21,3,2,93,113,36,90])).
% 171.69/171.80 cnf(2490,plain,
% 171.69/171.80 (~P3(f13(f13(x24901)),f13(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[567,2051,112])).
% 171.69/171.80 cnf(2493,plain,
% 171.69/171.80 (P7(f11(f9(x24931),f9(x24932),x24933),f13(f11(a1,a1,x24933)))),
% 171.69/171.80 inference(scs_inference,[],[823,567,2051,57,112,90])).
% 171.69/171.80 cnf(2496,plain,
% 171.69/171.80 (P9(f5(a1,x24961),f5(f9(x24962),x24961))),
% 171.69/171.80 inference(scs_inference,[],[183,823,567,2051,57,52,112,90,20])).
% 171.69/171.80 cnf(2497,plain,
% 171.69/171.80 (P9(x24971,x24971)),
% 171.69/171.80 inference(rename_variables,[],[52])).
% 171.69/171.80 cnf(2502,plain,
% 171.69/171.80 (~E(f7(f13(a1)),f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[183,177,2459,2456,1569,823,191,567,2115,2051,57,52,112,90,20,25,18,17])).
% 171.69/171.80 cnf(2506,plain,
% 171.69/171.80 (~E(f5(f10(a2),a1),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,2436,2459,2456,2306,1569,823,191,567,2115,2051,57,52,2497,112,90,20,25,18,17,21,3])).
% 171.69/171.80 cnf(2509,plain,
% 171.69/171.80 (E(f5(a1,a1),f5(f9(x25091),f9(x25092)))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,2410,2436,2459,2456,2306,1569,823,191,567,2115,2051,57,52,2497,112,90,20,25,18,17,21,3,2])).
% 171.69/171.80 cnf(2512,plain,
% 171.69/171.80 (~P7(f13(f11(a1,a1,x25121)),f11(f9(x25122),f9(x25123),x25121))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,1626,2410,2436,2459,2456,2306,1569,823,191,567,2115,2051,57,52,2497,112,90,20,25,18,17,21,3,2,77,107])).
% 171.69/171.80 cnf(2531,plain,
% 171.69/171.80 (~P3(f13(a2),a2)),
% 171.69/171.80 inference(scs_inference,[],[2115,56,90])).
% 171.69/171.80 cnf(2536,plain,
% 171.69/171.80 (P7(f5(f9(x25361),f9(x25362)),f13(f5(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2509,2115,2051,56,90,25,17])).
% 171.69/171.80 cnf(2538,plain,
% 171.69/171.80 (P3(f7(f5(a1,a1)),f5(f9(x25381),f9(x25382)))),
% 171.69/171.80 inference(scs_inference,[],[177,2509,2115,2051,56,53,90,25,17,26])).
% 171.69/171.80 cnf(2542,plain,
% 171.69/171.80 (E(f5(f9(x25421),f9(x25422)),f5(f9(x25423),f9(x25424)))),
% 171.69/171.80 inference(scs_inference,[],[177,2509,2127,2410,1575,2115,2051,56,53,90,25,17,26,21,3])).
% 171.69/171.80 cnf(2543,plain,
% 171.69/171.80 (~E(f5(f13(a2),f13(a1)),f7(f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2509,2502,2127,2410,1575,2115,2051,56,53,90,25,17,26,21,3,2])).
% 171.69/171.80 cnf(2560,plain,
% 171.69/171.80 (~P9(f13(f13(x25601)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[2490,91])).
% 171.69/171.80 cnf(2563,plain,
% 171.69/171.80 (P3(x25631,f13(x25631))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2568,plain,
% 171.69/171.80 (P9(f5(a1,f9(x25681)),f5(f9(x25682),f9(x25683)))),
% 171.69/171.80 inference(scs_inference,[],[177,2563,2542,2496,2490,2531,1938,2115,91,25,17,26,21])).
% 171.69/171.80 cnf(2571,plain,
% 171.69/171.80 (E(f11(a1,f9(x25711),f9(x25712)),f11(a1,f9(x25713),a1))),
% 171.69/171.80 inference(scs_inference,[],[177,2563,2542,2496,2490,2531,2177,1938,186,2115,91,25,17,26,21,3])).
% 171.69/171.80 cnf(2607,plain,
% 171.69/171.80 (P3(f7(f5(a1,a1)),f5(a1,f9(x26071)))),
% 171.69/171.80 inference(scs_inference,[],[183,2538,2205,2108,2531,1150,2456,1783,2051,57,90,25,18,17,26])).
% 171.69/171.80 cnf(2612,plain,
% 171.69/171.80 (~E(f5(f13(a2),f13(a1)),a1)),
% 171.69/171.80 inference(scs_inference,[],[183,2538,2543,2560,2205,2108,2531,1150,2456,1783,1156,2051,57,52,90,25,18,17,26,21,3])).
% 171.69/171.80 cnf(2614,plain,
% 171.69/171.80 (~P2(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[183,2538,2543,2506,2560,2205,2108,2531,1150,2456,1783,1156,2051,57,52,90,25,18,17,26,21,3,2,59])).
% 171.69/171.80 cnf(2616,plain,
% 171.69/171.80 (~P7(f5(f13(f13(x26161)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[183,2538,2543,2506,2560,2205,2108,2531,1150,2456,1783,1156,2051,57,52,90,25,18,17,26,21,3,2,59,113])).
% 171.69/171.80 cnf(2621,plain,
% 171.69/171.80 (~E(f5(f13(a1),a1),f10(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[184,183,2538,2543,2506,2560,2205,2108,2531,1150,1578,2456,1783,1774,1156,2051,57,52,90,25,18,17,26,21,3,2,59,113,35,107,29])).
% 171.69/171.80 cnf(2646,plain,
% 171.69/171.80 (P17(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[2386,46,106])).
% 171.69/171.80 cnf(2651,plain,
% 171.69/171.80 (~P3(f13(a2),f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[2614,418,2394,2386,2115,46,106,110,90])).
% 171.69/171.80 cnf(2653,plain,
% 171.69/171.80 (P3(f7(f9(x26531)),f13(f7(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2614,418,2394,2386,459,2115,46,106,110,90,25])).
% 171.69/171.80 cnf(2655,plain,
% 171.69/171.80 (P7(f5(a1,f9(x26551)),f13(f5(a1,a1)))),
% 171.69/171.80 inference(scs_inference,[],[183,177,2614,2536,418,2394,2386,459,2115,46,106,110,90,25,17])).
% 171.69/171.80 cnf(2656,plain,
% 171.69/171.80 (E(f5(f9(x26561),x26562),f5(a1,x26562))),
% 171.69/171.80 inference(rename_variables,[],[183])).
% 171.69/171.80 cnf(2657,plain,
% 171.69/171.80 (~P3(f5(f13(a2),f13(a1)),f13(f9(x26571)))),
% 171.69/171.80 inference(scs_inference,[],[183,177,2614,2536,418,2394,2459,2386,459,2115,189,46,106,110,90,25,17,26])).
% 171.69/171.80 cnf(2658,plain,
% 171.69/171.80 (P9(f5(a1,f9(x26581)),f5(a1,f9(x26582)))),
% 171.69/171.80 inference(scs_inference,[],[183,2656,177,2614,2568,2536,418,2394,2459,2386,459,2115,189,46,106,110,90,25,17,26,21])).
% 171.69/171.80 cnf(2661,plain,
% 171.69/171.80 (E(f9(x26611),f9(x26612))),
% 171.69/171.80 inference(scs_inference,[],[183,2656,177,2614,2568,2536,418,2394,2459,2021,1982,2386,459,2115,189,46,106,110,90,25,17,26,21,3])).
% 171.69/171.80 cnf(2663,plain,
% 171.69/171.80 (P16(f5(f13(a2),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[183,2656,177,2614,2568,2571,2536,418,2394,2459,2021,1982,2386,459,2115,189,46,106,110,90,25,17,26,21,3,2,66])).
% 171.69/171.80 cnf(2665,plain,
% 171.69/171.80 (E(f5(x26651,f9(x26652)),f5(x26651,f9(x26653)))),
% 171.69/171.80 inference(scs_inference,[],[183,2656,177,2614,2568,2571,2536,418,2394,2459,2021,1982,2386,459,2115,189,46,106,110,90,25,17,26,21,3,2,66,14])).
% 171.69/171.80 cnf(2667,plain,
% 171.69/171.80 (E(f11(x26671,f9(x26672),x26673),f11(x26671,f9(x26674),x26673))),
% 171.69/171.80 inference(scs_inference,[],[183,2656,177,2614,2568,2571,2536,418,2394,2459,2021,1982,2386,459,2115,189,46,106,110,90,25,17,26,21,3,2,66,14,12,9])).
% 171.69/171.80 cnf(2712,plain,
% 171.69/171.80 (P9(f7(f9(x27121)),f7(a1))),
% 171.69/171.80 inference(scs_inference,[],[2653,108])).
% 171.69/171.80 cnf(2714,plain,
% 171.69/171.80 (~P7(f5(f13(a2),f13(a1)),f13(f9(x27141)))),
% 171.69/171.80 inference(scs_inference,[],[177,2657,2653,108,112])).
% 171.69/171.80 cnf(2715,plain,
% 171.69/171.80 (P3(x27151,f13(x27151))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2717,plain,
% 171.69/171.80 (~P9(f13(a2),f7(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[177,2657,2653,1971,2051,108,112,110])).
% 171.69/171.80 cnf(2722,plain,
% 171.69/171.80 (~P3(f5(f13(f13(x27221)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[177,2657,2653,2655,2616,1971,2051,57,108,112,110,89,90])).
% 171.69/171.80 cnf(2725,plain,
% 171.69/171.80 (P9(f11(a1,a1,a1),f11(f9(x27251),f9(x27252),a1))),
% 171.69/171.80 inference(scs_inference,[],[186,177,2657,2653,2655,1114,2616,1971,2051,57,108,112,110,89,90,20])).
% 171.69/171.80 cnf(2727,plain,
% 171.69/171.80 (E(f11(x27271,x27272,f9(x27273)),f11(x27271,x27272,a1))),
% 171.69/171.80 inference(rename_variables,[],[186])).
% 171.69/171.80 cnf(2729,plain,
% 171.69/171.80 (P3(x27291,f13(x27291))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2730,plain,
% 171.69/171.80 (~E(f5(a2,a1),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[186,177,2715,2657,2653,2655,1114,2616,1971,468,2115,2051,57,108,112,110,89,90,20,25,17])).
% 171.69/171.80 cnf(2735,plain,
% 171.69/171.80 (E(f11(x27351,x27352,f9(x27353)),f11(x27351,x27352,a1))),
% 171.69/171.80 inference(rename_variables,[],[186])).
% 171.69/171.80 cnf(2736,plain,
% 171.69/171.80 (E(f11(x27361,f9(x27362),f9(x27363)),f11(x27361,f9(x27364),a1))),
% 171.69/171.80 inference(scs_inference,[],[186,2727,2735,177,2715,2729,2667,2657,2653,2655,1020,1114,2616,1971,468,1443,2115,2051,57,108,112,110,89,90,20,25,17,26,21,3])).
% 171.69/171.80 cnf(2758,plain,
% 171.69/171.80 (P7(f14(x27581,f9(x27582)),f13(f14(x27581,a1)))),
% 171.69/171.80 inference(scs_inference,[],[2253,57,90])).
% 171.69/171.80 cnf(2761,plain,
% 171.69/171.80 (~P7(f13(f11(a1,a1,x27611)),f11(f9(x27612),a1,x27611))),
% 171.69/171.80 inference(scs_inference,[],[2512,2253,456,57,90,18])).
% 171.69/171.80 cnf(2763,plain,
% 171.69/171.80 (~E(a1,f5(f13(f13(x27631)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2512,2722,2253,456,57,90,18,25])).
% 171.69/171.80 cnf(2770,plain,
% 171.69/171.80 (~E(a1,f10(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[187,177,2512,2621,2722,2717,1791,2253,380,456,57,52,90,18,25,26,21,3])).
% 171.69/171.80 cnf(2771,plain,
% 171.69/171.80 (E(f11(x27711,f9(x27712),a1),f11(x27711,f9(x27713),f9(x27714)))),
% 171.69/171.80 inference(scs_inference,[],[187,177,2512,2736,2621,2722,2717,1791,2253,380,456,57,52,90,18,25,26,21,3,2])).
% 171.69/171.80 cnf(2774,plain,
% 171.69/171.80 (~P7(f13(f14(x27741,a1)),f14(x27741,f9(x27742)))),
% 171.69/171.80 inference(scs_inference,[],[187,177,2512,2736,2621,2607,2722,2717,1791,2253,380,456,57,52,90,18,25,26,21,3,2,81,107])).
% 171.69/171.80 cnf(2778,plain,
% 171.69/171.80 (~P2(f5(f13(f13(x27781)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[187,186,177,2512,2736,2621,2607,1525,2722,2717,1791,2253,380,456,47,57,52,90,18,25,26,21,3,2,81,107,20,70])).
% 171.69/171.80 cnf(2798,plain,
% 171.69/171.80 (~E(f13(a4),f5(f10(a4),f9(x27981)))),
% 171.69/171.80 inference(scs_inference,[],[1895,2051,18])).
% 171.69/171.80 cnf(2800,plain,
% 171.69/171.80 (P3(f5(x28001,f9(x28002)),f13(f5(x28001,a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,1895,2051,453,18,25])).
% 171.69/171.80 cnf(2801,plain,
% 171.69/171.80 (P3(x28011,f13(x28011))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2806,plain,
% 171.69/171.80 (E(f11(x28061,f9(x28062),x28063),f11(x28061,a1,x28063))),
% 171.69/171.80 inference(rename_variables,[],[187])).
% 171.69/171.80 cnf(2807,plain,
% 171.69/171.80 (E(f11(x28071,f9(x28072),a1),f11(x28071,a1,f9(x28073)))),
% 171.69/171.80 inference(scs_inference,[],[187,2806,177,2771,2725,1895,2009,2051,453,18,25,26,21,3])).
% 171.69/171.80 cnf(2811,plain,
% 171.69/171.80 (~P7(f5(f13(f10(a4)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[187,2806,177,2771,2725,2730,1895,2009,2298,2051,453,18,25,26,21,3,2,113])).
% 171.69/171.80 cnf(2815,plain,
% 171.69/171.80 (~P9(f5(f13(f13(x28151)),f13(a1)),a1)),
% 171.69/171.80 inference(scs_inference,[],[187,2806,177,2801,2771,2725,2730,1895,2009,2722,2298,2051,453,18,25,26,21,3,2,113,83,91])).
% 171.69/171.80 cnf(2837,plain,
% 171.69/171.80 (~P3(f5(f13(f10(a4)),f13(a1)),f13(a1))),
% 171.69/171.80 inference(scs_inference,[],[2811,57,90])).
% 171.69/171.80 cnf(2843,plain,
% 171.69/171.80 (P7(f11(a1,f9(x28431),x28432),f13(f11(a1,a1,x28432)))),
% 171.69/171.80 inference(scs_inference,[],[188,2811,395,2493,1328,1610,2396,57,90,18,25,17])).
% 171.69/171.80 cnf(2844,plain,
% 171.69/171.80 (E(f11(f9(x28441),x28442,x28443),f11(a1,x28442,x28443))),
% 171.69/171.80 inference(rename_variables,[],[188])).
% 171.69/171.80 cnf(2846,plain,
% 171.69/171.80 (P3(x28461,f13(x28461))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2847,plain,
% 171.69/171.80 (~P9(f5(f13(f13(x28471)),f13(a1)),f9(x28472))),
% 171.69/171.80 inference(scs_inference,[],[188,175,177,2811,2815,395,2493,1328,1610,2396,548,57,90,18,25,17,26,21])).
% 171.69/171.80 cnf(2848,plain,
% 171.69/171.80 (E(f11(f9(x28481),x28482,f9(x28483)),f11(a1,x28482,a1))),
% 171.69/171.80 inference(scs_inference,[],[188,2844,186,175,177,2811,2815,395,2493,1328,1610,2396,548,57,90,18,25,17,26,21,3])).
% 171.69/171.80 cnf(2852,plain,
% 171.69/171.80 (E(f14(f9(x28521),x28522),f14(f9(x28523),x28522))),
% 171.69/171.80 inference(scs_inference,[],[188,2844,186,175,177,2807,2811,2815,395,2661,2493,1328,1610,2396,548,57,90,18,25,17,26,21,3,2,11])).
% 171.69/171.80 cnf(2861,plain,
% 171.69/171.80 (P3(x28611,f13(x28611))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2864,plain,
% 171.69/171.80 (P3(x28641,f13(x28641))),
% 171.69/171.80 inference(rename_variables,[],[177])).
% 171.69/171.80 cnf(2869,plain,
% 171.69/171.80 (P4(x28691,a8)+~E(f11(a8,f12(a8),f5(a4,a1)),x28691)+P7(f5(a4,a1),f14(a8,f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[188,2844,186,175,177,2846,2861,2864,2800,2807,2811,2815,395,2661,2493,1328,1610,2396,548,748,903,57,49,90,18,25,17,26,21,3,2,11,10,8,5,88,107,118,116,78,7,27])).
% 171.69/171.80 cnf(2875,plain,
% 171.69/171.80 (~E(f5(f13(a1),f9(x28751)),f10(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[845,1794,29])).
% 171.69/171.80 cnf(2876,plain,
% 171.69/171.80 (~E(a1,f5(f13(f10(a4)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[177,2837,845,1794,29,25])).
% 171.69/171.80 cnf(2878,plain,
% 171.69/171.80 (~E(f5(f13(a2),f7(a2)),f13(f13(a2)))),
% 171.69/171.80 inference(scs_inference,[],[177,2837,845,2219,1794,2115,29,25,17])).
% 171.69/171.80 cnf(2911,plain,
% 171.69/171.80 (P9(f5(x29111,f9(x29112)),f5(x29111,a1))),
% 171.69/171.80 inference(scs_inference,[],[2800,2352,48,114,108])).
% 171.69/171.80 cnf(2916,plain,
% 171.69/171.80 (E(f11(f9(x29161),f9(x29162),a1),f11(a1,a1,f9(x29163)))),
% 171.69/171.80 inference(scs_inference,[],[188,2807,2800,2352,48,57,114,108,90,3])).
% 171.69/171.80 cnf(2920,plain,
% 171.69/171.80 (E(f11(a1,x29201,a1),f11(f9(x29202),x29201,f9(x29203)))),
% 171.69/171.80 inference(scs_inference,[],[188,2848,2712,2807,2800,2352,459,48,57,114,108,90,3,21,2])).
% 171.69/171.80 cnf(2924,plain,
% 171.69/171.80 (~P7(f13(f5(x29241,a1)),f5(x29241,f9(x29242)))),
% 171.69/171.80 inference(scs_inference,[],[188,177,2848,2712,2807,2800,2352,748,459,48,57,49,114,108,90,3,21,2,115,107])).
% 171.69/171.80 cnf(2926,plain,
% 171.69/171.80 (~E(f10(f13(a1)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[188,177,2848,2712,2807,2800,2338,2352,442,748,459,48,57,49,114,108,90,3,21,2,115,107,25])).
% 171.69/171.80 cnf(2944,plain,
% 171.69/171.80 (P17(f5(f13(a2),f7(a2)))),
% 171.69/171.80 inference(scs_inference,[],[2244,46,106])).
% 171.69/171.80 cnf(2946,plain,
% 171.69/171.80 (~P9(f13(f10(a4)),f5(f10(a4),a1))),
% 171.69/171.80 inference(scs_inference,[],[1683,2244,2051,46,106,110])).
% 171.69/171.80 cnf(2947,plain,
% 171.69/171.80 (P7(x29471,f13(x29471))),
% 171.69/171.80 inference(rename_variables,[],[2051])).
% 171.69/171.80 cnf(2949,plain,
% 171.69/171.80 (P9(f12(f9(x29491)),f12(f9(x29492)))),
% 171.69/171.80 inference(scs_inference,[],[1161,1683,458,2244,2051,46,106,110,20])).
% 171.69/171.80 cnf(2953,plain,
% 171.69/171.80 (P9(f14(a1,f9(x29531)),f14(f9(x29532),a1))),
% 171.69/171.80 inference(scs_inference,[],[184,175,1816,1161,1683,2612,1051,458,2244,2051,2947,46,106,110,20,18,3,21])).
% 171.69/171.80 cnf(2970,plain,
% 171.69/171.80 (~P7(f13(a2),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[2531,195,112])).
% 171.69/171.80 cnf(2972,plain,
% 171.69/171.80 (~E(f5(f10(a4),f9(x29721)),f13(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[2946,2911,2531,195,112,20])).
% 171.69/171.80 cnf(2974,plain,
% 171.69/171.80 (~E(f5(f13(a1),a1),f10(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[182,2946,2875,2911,2531,195,112,20,3])).
% 171.69/171.80 cnf(2979,plain,
% 171.69/171.80 (E(f11(a1,a1,f9(x29791)),f11(f9(x29792),f9(x29793),a1))),
% 171.69/171.80 inference(scs_inference,[],[182,2946,2875,2911,2916,2531,195,52,112,20,3,21,2])).
% 171.69/171.80 cnf(2995,plain,
% 171.69/171.80 (~P3(f13(f13(a2)),f13(a2))),
% 171.69/171.80 inference(scs_inference,[],[2531,2051,112])).
% 171.69/171.80 cnf(2996,plain,
% 171.69/171.80 (P7(x29961,f13(x29961))),
% 171.69/171.80 inference(rename_variables,[],[2051])).
% 171.69/171.80 cnf(2998,plain,
% 171.69/171.80 (~P7(f13(a2),f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[2970,1275,2531,2051,112,110])).
% 171.69/171.80 cnf(3006,plain,
% 171.69/171.80 (E(f11(a1,f9(x30061),a1),f11(f9(x30062),a1,f9(x30063)))),
% 171.69/171.80 inference(scs_inference,[],[187,185,177,2970,2137,2920,1275,2531,446,2051,2996,112,110,20,25,17,3])).
% 171.69/171.80 cnf(3011,plain,
% 171.69/171.80 (~E(f10(f12(a8)),f5(f13(a1),a1))),
% 171.69/171.80 inference(scs_inference,[],[190,187,185,177,2974,2970,2949,2137,2920,1275,2531,446,2051,2996,112,110,20,25,17,3,21,2])).
% 171.69/171.80 cnf(3012,plain,
% 171.69/171.80 (~P2(f5(f13(f10(a4)),f13(a1)))),
% 171.69/171.80 inference(scs_inference,[],[190,187,185,177,2974,2876,2970,2949,2137,2920,1275,2531,446,2051,2996,47,112,110,20,25,17,3,21,2,70])).
% 171.69/171.80 cnf(3043,plain,
% 171.69/171.80 (E(f11(a1,f9(x30431),f9(x30432)),f11(f9(x30433),f9(x30434),a1))),
% 171.69/171.80 inference(scs_inference,[],[187,184,2979,2953,2714,2384,1714,110,20,17,3])).
% 171.69/171.80 cnf(3047,plain,
% 171.69/171.80 (E(f11(f9(x30471),a1,f9(x30472)),f11(a1,f9(x30473),a1))),
% 171.69/171.80 inference(scs_inference,[],[187,184,186,1726,2979,3006,2953,2714,2384,1714,110,20,17,3,21,2])).
% 171.69/171.80 cnf(3072,plain,
% 171.69/171.80 (~P3(f13(a2),f10(a2))),
% 171.69/171.80 inference(scs_inference,[],[179,2970,90])).
% 171.69/171.80 cnf(3116,plain,
% 171.69/171.80 (~P9(f13(f13(a2)),a2)),
% 171.69/171.80 inference(scs_inference,[],[2995,91])).
% 171.69/171.80 cnf(3118,plain,
% 171.69/171.80 (~P3(f13(f13(a2)),f13(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[3072,2995,2051,91,112])).
% 171.69/171.80 cnf(3123,plain,
% 171.69/171.80 (~P3(f13(a2),f10(f10(a2)))),
% 171.69/171.80 inference(scs_inference,[],[2998,3072,2995,1223,2051,91,112,89,90])).
% 171.69/171.80 cnf(3130,plain,
% 171.69/171.80 (P3(f7(f11(a1,x31301,a1)),f11(f9(x31302),x31301,f9(x31303)))),
% 171.69/171.80 inference(scs_inference,[],[2998,3072,2389,331,1260,2995,1717,1223,455,454,2051,91,112,89,90,20,18,17,26])).
% 171.69/171.80 cnf(3133,plain,
% 171.69/171.80 (E(f11(a1,f9(x31331),x31332),f11(f9(x31333),a1,x31332))),
% 171.69/171.80 inference(scs_inference,[],[187,2998,3072,2389,331,1260,2995,1717,1223,455,457,454,2051,91,112,89,90,20,18,17,26,3])).
% 171.69/171.80 cnf(3138,plain,
% 171.69/171.80 (E(f11(f9(x31381),f9(x31382),a1),f11(a1,f9(x31383),f9(x31384)))),
% 171.69/171.80 inference(scs_inference,[],[187,2998,3072,3043,2389,2441,331,1260,2995,1717,1223,455,448,457,454,2051,91,112,89,90,20,18,17,26,3,21,2])).
% 171.69/171.80 cnf(3171,plain,
% 171.69/171.80 (E(f11(x31711,x31712,f9(x31713)),f11(x31711,x31712,a1))),
% 171.69/171.80 inference(rename_variables,[],[186])).
% 171.69/171.80 cnf(3175,plain,
% 171.69/171.80 (E(f11(a1,f9(x31751),x31752),f11(f9(x31753),a1,x31752))),
% 171.69/171.80 inference(rename_variables,[],[3133])).
% 171.69/171.80 cnf(3176,plain,
% 171.69/171.80 (P3(f7(f11(a1,x31761,a1)),f11(a1,x31761,f9(x31762)))),
% 171.69/171.80 inference(scs_inference,[],[188,186,3130,3133,1722,1453,2843,1576,2051,57,90,20,18,17,26])).
% 171.69/171.80 cnf(3178,plain,
% 171.69/171.80 (E(f11(f9(x31781),x31782,x31783),f11(a1,x31782,x31783))),
% 171.69/171.80 inference(rename_variables,[],[188])).
% 171.69/171.80 cnf(3179,plain,
% 171.69/171.80 (E(f11(f9(x31791),f9(x31792),x31793),f11(f9(x31794),a1,x31793))),
% 171.69/171.80 inference(scs_inference,[],[188,3178,186,3130,3133,3175,1722,1453,2843,1576,2051,57,90,20,18,17,26,3])).
% 171.69/171.80 cnf(3187,plain,
% 171.69/171.80 (~P7(f13(f10(a4)),f10(f10(a4)))),
% 171.69/171.80 inference(scs_inference,[],[188,3178,186,3171,177,3130,2878,3133,3175,2261,1722,1453,2843,1576,2051,57,90,20,18,17,26,3,21,2,80,107])).
% 171.69/171.80 cnf(3196,plain,
% 171.69/171.80 (P9(f5(a1,f9(x31961)),f5(f9(x31962),a1))),
% 171.69/171.80 inference(scs_inference,[],[183,3187,1578,2911,90,20])).
% 171.69/171.80 cnf(3208,plain,
% 171.69/171.80 (~E(f5(f13(f13(x32081)),f13(a1)),a1)),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,2972,3187,3123,2815,1578,2911,1328,1808,525,2115,52,90,20,18,17,26,3,21])).
% 171.69/171.80 cnf(3210,plain,
% 171.69/171.80 (E(f11(f9(x32101),a1,x32102),f11(f9(x32103),f9(x32104),x32102))),
% 171.69/171.80 inference(scs_inference,[],[183,182,177,3179,2972,3187,3123,2815,1578,2911,1328,1808,525,2115,52,90,20,18,17,26,3,21,2])).
% 171.69/171.80 cnf(3216,plain,
% 171.69/171.80 (P9(f10(a2),a2)),
% 171.69/171.80 inference(scs_inference,[],[191,183,195,182,177,3179,2972,3187,3123,2815,1578,2911,1328,1808,2253,525,2115,52,90,20,18,17,26,3,21,2,74,94,28,108])).
% 171.69/171.80 cnf(3226,plain,
% 171.69/171.80 (~P7(a2,f5(f10(a2),a1))),
% 171.69/171.80 inference(scs_inference,[],[3216,1178,110,107])).
% 171.69/171.80 cnf(3228,plain,
% 171.69/171.80 (~E(f5(f13(a1),f9(x32281)),f12(a8))),
% 171.69/171.80 inference(scs_inference,[],[3216,1055,1560,1178,110,107,20])).
% 171.69/171.80 cnf(3232,plain,
% 171.69/171.80 (E(f11(x32321,f9(x32322),x32323),f11(x32321,a1,x32323))),
% 171.69/171.80 inference(rename_variables,[],[187])).
% 171.69/171.80 cnf(3233,plain,
% 171.69/171.80 (P9(f11(x32331,f9(x32332),a1),f11(x32331,a1,f9(x32333)))),
% 171.69/171.80 inference(scs_inference,[],[187,3232,3216,1055,293,1560,1178,763,110,107,20,3,21])).
% 171.69/171.80 cnf(3271,plain,
% 171.69/171.80 (P9(f10(f9(x32711)),f10(f9(x32712)))),
% 171.69/171.80 inference(scs_inference,[],[195,1978,446,57,90,20])).
% 171.69/171.80 cnf(3272,plain,
% 171.69/171.80 (E(f11(f9(x32721),f9(x32722),f9(x32723)),f11(a1,f9(x32724),f9(x32725)))),
% 171.69/171.80 inference(scs_inference,[],[186,195,3138,1978,446,57,90,20,3])).
% 171.69/171.80 cnf(3311,plain,
% 171.69/171.80 (P9(f11(a1,f9(x33111),f9(x33112)),f11(f9(x33113),a1,a1))),
% 171.69/171.80 inference(scs_inference,[],[3272,390,20])).
% 171.69/171.80 cnf(3345,plain,
% 171.69/171.80 (~E(f10(f13(a1)),f13(f12(a8)))),
% 171.69/171.80 inference(scs_inference,[],[528,1013,20])).
% 171.69/171.80 cnf(3347,plain,
% 171.69/171.80 (E(f7(f13(a1)),f5(f13(a1),f9(x33471)))),
% 171.69/171.80 inference(scs_inference,[],[528,1013,2131,450,20,3])).
% 171.69/171.80 cnf(3348,plain,
% 171.69/171.80 (E(f11(a1,f9(x33481),f9(x33482)),f11(f9(x33483),f9(x33484),f9(x33485)))),
% 171.69/171.80 inference(scs_inference,[],[3272,528,1013,2131,450,20,3,2])).
% 171.69/171.80 cnf(3359,plain,
% 171.69/171.80 (P9(f5(f13(x33591),a1),x33591)),
% 171.69/171.80 inference(scs_inference,[],[184,181,195,3271,3272,528,1013,2131,1481,2132,438,450,20,3,2,84,21,104,99,36,33,108])).
% 171.69/171.80 cnf(3378,plain,
% 171.69/171.80 (E(f11(f9(x33781),f9(x33782),f9(x33783)),f11(f9(x33784),f9(x33785),f9(x33786)))),
% 171.69/171.80 inference(scs_inference,[],[188,182,3348,3359,2658,371,110,20,3])).
% 171.69/171.80 cnf(3380,plain,
% 171.69/171.80 (~P9(a4,f5(f13(a1),f9(x33801)))),
% 171.69/171.80 inference(scs_inference,[],[188,182,3348,3359,2658,2310,897,371,110,20,3,21])).
% 171.69/171.80 cnf(3415,plain,
% 171.69/171.80 (P9(f11(a1,f9(x34151),f9(x34152)),f11(f9(x34153),f9(x34154),a1))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3228,3311,3210,20,3,21])).
% 171.69/171.81 cnf(3417,plain,
% 171.69/171.81 (E(f5(f13(a1),f9(x34171)),f7(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3228,3347,3311,3210,20,3,21,2])).
% 171.69/171.81 cnf(3455,plain,
% 171.69/171.81 (P9(f11(f9(x34551),f9(x34552),f9(x34553)),f11(f9(x34554),a1,a1))),
% 171.69/171.81 inference(scs_inference,[],[186,3116,1367,3359,20,21])).
% 171.69/171.81 cnf(3458,plain,
% 171.69/171.81 (E(f7(f13(a1)),f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3116,1367,3359,3347,20,21,3])).
% 171.69/171.81 cnf(3477,plain,
% 171.69/171.81 (~P9(f10(a2),f5(f13(a1),f9(x34771)))),
% 171.69/171.81 inference(scs_inference,[],[187,3455,3417,1399,20,21])).
% 171.69/171.81 cnf(3479,plain,
% 171.69/171.81 (E(f5(f13(a1),a1),f7(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[187,3458,3455,3417,959,1399,20,21,3,2])).
% 171.69/171.81 cnf(3484,plain,
% 171.69/171.81 (P7(f14(a8,f14(a8,a4)),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[187,3458,3455,3417,959,1399,823,1827,2241,57,20,21,3,2,97,108,90])).
% 171.69/171.81 cnf(3543,plain,
% 171.69/171.81 (P9(f5(f9(x35431),f9(x35432)),f5(a1,a1))),
% 171.69/171.81 inference(scs_inference,[],[183,2911,21])).
% 171.69/171.81 cnf(3546,plain,
% 171.69/171.81 (E(f9(x35461),f7(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[183,3479,1982,2911,21,3])).
% 171.69/171.81 cnf(3547,plain,
% 171.69/171.81 (E(f11(f9(x35471),a1,x35472),f11(a1,f9(x35473),x35472))),
% 171.69/171.81 inference(scs_inference,[],[183,3479,3133,1982,2911,21,3,2])).
% 171.69/171.81 cnf(3550,plain,
% 171.69/171.81 (~P9(f13(f13(a2)),f10(a2))),
% 171.69/171.81 inference(scs_inference,[],[183,195,3479,3133,3118,1982,2911,21,3,2,83,91])).
% 171.69/171.81 cnf(3552,plain,
% 171.69/171.81 (P7(f13(f9(x35521)),f13(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[183,195,3479,3133,3118,1982,1053,2911,57,21,3,2,83,91,90])).
% 171.69/171.81 cnf(3579,plain,
% 171.69/171.81 (~P7(f5(f13(f13(a2)),f10(a2)),f10(a2))),
% 171.69/171.81 inference(scs_inference,[],[3550,113])).
% 171.69/171.81 cnf(3584,plain,
% 171.69/171.81 (~P9(f12(a8),f5(f13(f9(x35841)),f9(x35842)))),
% 171.69/171.81 inference(scs_inference,[],[179,3550,3552,2223,2212,491,113,90,17,21])).
% 171.69/171.81 cnf(3586,plain,
% 171.69/171.81 (E(f11(f9(x35861),f9(x35862),x35863),f11(a1,f9(x35864),x35863))),
% 171.69/171.81 inference(scs_inference,[],[179,187,3550,3552,3547,2223,2212,491,113,90,17,21,3])).
% 171.69/171.81 cnf(3611,plain,
% 171.69/171.81 (P9(f11(a1,f9(x36111),f9(x36112)),f11(a1,f9(x36113),a1))),
% 171.69/171.81 inference(scs_inference,[],[3586,3415,21])).
% 171.69/171.81 cnf(3612,plain,
% 171.69/171.81 (E(f11(f9(x36121),f9(x36122),x36123),f11(a1,f9(x36124),x36123))),
% 171.69/171.81 inference(rename_variables,[],[3586])).
% 171.69/171.81 cnf(3615,plain,
% 171.69/171.81 (E(f11(a1,f9(x36151),x36152),f11(f9(x36153),f9(x36154),x36152))),
% 171.69/171.81 inference(scs_inference,[],[182,3586,3612,3415,3011,21,3,2])).
% 171.69/171.81 cnf(3618,plain,
% 171.69/171.81 (P7(f11(a1,x36181,f9(x36182)),f13(f11(a1,x36181,a1)))),
% 171.69/171.81 inference(scs_inference,[],[188,182,195,3586,3612,3415,3011,1973,21,3,2,77,17])).
% 171.69/171.81 cnf(3645,plain,
% 171.69/171.81 (~P9(f13(a2),f5(f10(a2),a1))),
% 171.69/171.81 inference(scs_inference,[],[3226,2051,110])).
% 171.69/171.81 cnf(3648,plain,
% 171.69/171.81 (~P7(f13(f11(a1,x36481,a1)),f11(a1,x36481,f9(x36482)))),
% 171.69/171.81 inference(scs_inference,[],[3618,3226,2051,110,107])).
% 171.69/171.81 cnf(3650,plain,
% 171.69/171.81 (P9(f5(f9(x36501),f9(x36502)),f5(f9(x36503),f9(x36504)))),
% 171.69/171.81 inference(scs_inference,[],[3618,3226,3543,2509,2051,110,107,21])).
% 171.69/171.81 cnf(3651,plain,
% 171.69/171.81 (E(f5(f9(x36511),a1),f5(a1,f9(x36512)))),
% 171.69/171.81 inference(scs_inference,[],[183,3618,3226,3543,2509,2051,453,110,107,21,3])).
% 171.69/171.81 cnf(3670,plain,
% 171.69/171.81 (P9(f11(a1,f9(x36701),a1),f11(a1,f9(x36702),a1))),
% 171.69/171.81 inference(scs_inference,[],[186,3611,2837,91,20])).
% 171.69/171.81 cnf(3673,plain,
% 171.69/171.81 (~P9(f13(a2),f5(f10(a2),f9(x36731)))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3611,3645,2837,91,20,21])).
% 171.69/171.81 cnf(3674,plain,
% 171.69/171.81 (E(f5(x36741,f9(x36742)),f5(x36741,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(3675,plain,
% 171.69/171.81 (E(f5(f9(x36751),f9(x36752)),f5(a1,f9(x36753)))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3674,3611,3645,3651,2837,91,20,21,3])).
% 171.69/171.81 cnf(3677,plain,
% 171.69/171.81 (E(f5(a1,f9(x36771)),f5(f9(x36772),a1))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3674,3611,3645,3651,2837,91,20,21,3,2])).
% 171.69/171.81 cnf(3706,plain,
% 171.69/171.81 (E(f5(x37061,f9(x37062)),f5(x37061,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(3713,plain,
% 171.69/171.81 (P9(f5(f9(x37131),a1),f5(f9(x37132),f9(x37133)))),
% 171.69/171.81 inference(scs_inference,[],[210,183,182,3706,3650,3345,1825,57,21,3,2,93,90,20])).
% 171.69/171.81 cnf(3719,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),f9(x37191))),
% 171.69/171.81 inference(scs_inference,[],[2657,91])).
% 171.69/171.81 cnf(3721,plain,
% 171.69/171.81 (P9(f5(f9(x37211),a1),f5(a1,f9(x37212)))),
% 171.69/171.81 inference(scs_inference,[],[183,3713,2657,91,21])).
% 171.69/171.81 cnf(3724,plain,
% 171.69/171.81 (E(f5(f9(x37241),f9(x37242)),f5(f9(x37243),a1))),
% 171.69/171.81 inference(scs_inference,[],[183,3713,2410,2657,447,91,21,3])).
% 171.69/171.81 cnf(3726,plain,
% 171.69/171.81 (E(f5(a1,f9(x37261)),f5(f9(x37262),f9(x37263)))),
% 171.69/171.81 inference(scs_inference,[],[183,3713,3675,2410,2657,447,91,21,3,2])).
% 171.69/171.81 cnf(3729,plain,
% 171.69/171.81 (P9(f11(f9(x37291),x37292,x37293),f11(a1,x37292,x37293))),
% 171.69/171.81 inference(scs_inference,[],[210,183,3713,3675,2410,2657,2120,447,91,21,3,2,94,108])).
% 171.69/171.81 cnf(3748,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),a1)),
% 171.69/171.81 inference(scs_inference,[],[212,3719,21])).
% 171.69/171.81 cnf(3750,plain,
% 171.69/171.81 (E(f11(f9(x37501),f9(x37502),x37503),f11(f9(x37504),f9(x37505),x37503))),
% 171.69/171.81 inference(scs_inference,[],[188,212,3719,3615,21,3])).
% 171.69/171.81 cnf(3769,plain,
% 171.69/171.81 (P9(f11(f9(x37691),x37692,f9(x37693)),f11(a1,x37692,a1))),
% 171.69/171.81 inference(scs_inference,[],[186,3729,21])).
% 171.69/171.81 cnf(3772,plain,
% 171.69/171.81 (~E(f9(x37721),f10(f10(a4)))),
% 171.69/171.81 inference(scs_inference,[],[186,212,3729,2770,21,3])).
% 171.69/171.81 cnf(3773,plain,
% 171.69/171.81 (E(f5(f9(x37731),a1),f5(f9(x37732),f9(x37733)))),
% 171.69/171.81 inference(scs_inference,[],[186,212,3724,3729,2770,21,3,2])).
% 171.69/171.81 cnf(3775,plain,
% 171.69/171.81 (~E(f9(x37751),f5(f13(f10(a4)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[181,186,212,3012,3724,3729,2770,51,21,3,2,28,29])).
% 171.69/171.81 cnf(3802,plain,
% 171.69/171.81 (E(f11(f9(x38021),f9(x38022),f9(x38023)),f11(a1,f9(x38024),a1))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3721,3586,21,3])).
% 171.69/171.81 cnf(3805,plain,
% 171.69/171.81 (~E(f5(f13(f10(a4)),f13(a1)),f9(x38051))),
% 171.69/171.81 inference(scs_inference,[],[186,182,3775,3721,3586,21,3,2])).
% 171.69/171.81 cnf(3839,plain,
% 171.69/171.81 (P7(f11(x38391,f9(x38392),f9(x38393)),f13(f11(x38391,a1,a1)))),
% 171.69/171.81 inference(scs_inference,[],[382,57,90])).
% 171.69/171.81 cnf(3842,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),f5(f13(a1),f9(x38421)))),
% 171.69/171.81 inference(scs_inference,[],[3748,1953,382,57,90,21])).
% 171.69/171.81 cnf(3845,plain,
% 171.69/171.81 (E(f11(a1,f9(x38451),a1),f11(f9(x38452),f9(x38453),f9(x38454)))),
% 171.69/171.81 inference(scs_inference,[],[212,3805,3802,3748,1953,382,57,90,21,3,2])).
% 171.69/171.81 cnf(3846,plain,
% 171.69/171.81 (P9(f5(f13(a2),f13(a1)),a2)),
% 171.69/171.81 inference(scs_inference,[],[212,3805,3802,3748,1953,382,2386,57,90,21,3,2,108])).
% 171.69/171.81 cnf(3850,plain,
% 171.69/171.81 (~P7(f13(f11(x38501,a1,a1)),f11(x38501,f9(x38502),f9(x38503)))),
% 171.69/171.81 inference(scs_inference,[],[212,3805,3802,3748,1953,2800,382,2386,57,90,21,3,2,108,112,107])).
% 171.69/171.81 cnf(3875,plain,
% 171.69/171.81 (P9(f11(a1,f9(x38751),a1),f11(f9(x38752),f9(x38753),f9(x38754)))),
% 171.69/171.81 inference(scs_inference,[],[3850,3845,3670,2771,18,21])).
% 171.69/171.81 cnf(3877,plain,
% 171.69/171.81 (~E(f7(f13(a1)),f10(f10(a4)))),
% 171.69/171.81 inference(scs_inference,[],[3850,3845,3772,3670,3546,2771,18,21,3])).
% 171.69/171.81 cnf(3882,plain,
% 171.69/171.81 (~P7(f13(f11(x38821,a1,a1)),f11(x38821,a1,f9(x38822)))),
% 171.69/171.81 inference(scs_inference,[],[210,3850,3845,2798,3772,3670,3546,538,2771,903,49,18,21,3,2,116,110])).
% 171.69/171.81 cnf(3902,plain,
% 171.69/171.81 (~E(f13(a2),f5(f13(f7(a2)),f9(x39021)))),
% 171.69/171.81 inference(scs_inference,[],[1409,1388,1328,2051,110,18])).
% 171.69/171.81 cnf(3904,plain,
% 171.69/171.81 (P9(f11(a1,f9(x39041),a1),f11(a1,f9(x39042),f9(x39043)))),
% 171.69/171.81 inference(scs_inference,[],[188,3875,1409,1388,1328,2051,110,18,21])).
% 171.69/171.81 cnf(3906,plain,
% 171.69/171.81 (E(f11(f9(x39061),x39062,x39063),f11(a1,x39062,x39063))),
% 171.69/171.81 inference(rename_variables,[],[188])).
% 171.69/171.81 cnf(3907,plain,
% 171.69/171.81 (E(f11(f9(x39071),x39072,a1),f11(a1,x39072,f9(x39073)))),
% 171.69/171.81 inference(scs_inference,[],[188,3906,3875,1409,1388,1328,455,2051,110,18,21,3])).
% 171.69/171.81 cnf(3910,plain,
% 171.69/171.81 (E(f7(f13(a1)),f9(x39101))),
% 171.69/171.81 inference(scs_inference,[],[188,3906,3875,1409,3546,1388,1328,455,2051,110,18,21,3,2])).
% 171.69/171.81 cnf(3912,plain,
% 171.69/171.81 (P7(f11(x39121,f9(x39122),a1),f13(f11(x39121,a1,a1)))),
% 171.69/171.81 inference(scs_inference,[],[188,3906,186,3875,3839,1409,3546,2432,1388,1328,455,2051,110,18,21,3,2,19,17])).
% 171.69/171.81 cnf(3933,plain,
% 171.69/171.81 (~P9(f10(a4),f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[3479,1448,1430,1630,18,21])).
% 171.69/171.81 cnf(3934,plain,
% 171.69/171.81 (E(f11(f9(x39341),x39342,f9(x39343)),f11(a1,x39342,f9(x39344)))),
% 171.69/171.81 inference(scs_inference,[],[186,3907,3479,1448,1430,1630,18,21,3])).
% 171.69/171.81 cnf(3937,plain,
% 171.69/171.81 (~E(f10(f10(a4)),f7(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[186,3907,3877,3479,1448,1430,1630,18,21,3,2])).
% 171.69/171.81 cnf(3959,plain,
% 171.69/171.81 (E(f11(a1,x39591,f9(x39592)),f11(f9(x39593),x39591,f9(x39594)))),
% 171.69/171.81 inference(scs_inference,[],[3934,3937,3726,3196,3047,2069,3479,20,21,3,2])).
% 171.69/171.81 cnf(3989,plain,
% 171.69/171.81 (P9(f11(f9(x39891),f9(x39892),f9(x39893)),f11(a1,f9(x39894),a1))),
% 171.69/171.81 inference(scs_inference,[],[184,3902,3773,3912,3378,2496,3769,1557,110,21,2,34,20])).
% 171.69/171.81 cnf(3992,plain,
% 171.69/171.81 (E(f11(f9(x39921),x39922,f9(x39923)),f11(f9(x39924),x39922,f9(x39925)))),
% 171.69/171.81 inference(scs_inference,[],[184,188,3959,3902,3773,3912,3378,2496,3769,1557,110,21,2,34,20,3])).
% 171.69/171.81 cnf(4031,plain,
% 171.69/171.81 (~P9(f12(a8),f5(f13(a1),f9(x40311)))),
% 171.69/171.81 inference(scs_inference,[],[1055,3417,21])).
% 171.69/171.81 cnf(4033,plain,
% 171.69/171.81 (E(f11(a1,x40331,f9(x40332)),f11(f9(x40333),x40331,a1))),
% 171.69/171.81 inference(scs_inference,[],[1019,3907,1055,3417,21,3,2])).
% 171.69/171.81 cnf(4057,plain,
% 171.69/171.81 (P9(f11(a1,f9(x40571),a1),f11(f9(x40572),f9(x40573),a1))),
% 171.69/171.81 inference(scs_inference,[],[185,4033,3904,2115,18,21])).
% 171.69/171.81 cnf(4087,plain,
% 171.69/171.81 (P9(f5(f9(x40871),a1),f5(f9(x40872),a1))),
% 171.69/171.81 inference(scs_inference,[],[3677,3721,21])).
% 171.69/171.81 cnf(4130,plain,
% 171.69/171.81 (P7(f10(f12(a8)),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[1610,1328,847,57,110,90])).
% 171.69/171.81 cnf(4133,plain,
% 171.69/171.81 (P9(f11(f9(x41331),x41332,a1),f11(a1,x41332,f9(x41333)))),
% 171.69/171.81 inference(scs_inference,[],[186,3729,1610,1328,847,57,110,90,20])).
% 171.69/171.81 cnf(4136,plain,
% 171.69/171.81 (~P9(f10(a4),f5(f13(a1),f9(x41361)))),
% 171.69/171.81 inference(scs_inference,[],[186,3729,1668,1953,1610,1328,847,57,110,90,20,21])).
% 171.69/171.81 cnf(4167,plain,
% 171.69/171.81 (P9(f11(f9(x41671),f9(x41672),a1),f11(a1,f9(x41673),f9(x41674)))),
% 171.69/171.81 inference(scs_inference,[],[4133,750,3750,899,1355,1630,110,18,20])).
% 171.69/171.81 cnf(4169,plain,
% 171.69/171.81 (P9(f11(f9(x41691),x41692,a1),f11(a1,x41692,f9(x41693)))),
% 171.69/171.81 inference(rename_variables,[],[4133])).
% 171.69/171.81 cnf(4170,plain,
% 171.69/171.81 (P9(f11(f9(x41701),x41702,a1),f11(f9(x41703),x41702,a1))),
% 171.69/171.81 inference(scs_inference,[],[4133,4169,750,3750,4033,899,1355,1630,110,18,20,21])).
% 171.69/171.81 cnf(4192,plain,
% 171.69/171.81 (~P7(f13(f11(x41921,a1,x41922)),f11(x41921,f9(x41923),x41922))),
% 171.69/171.81 inference(scs_inference,[],[187,2115,18])).
% 171.69/171.81 cnf(4194,plain,
% 171.69/171.81 (P9(f11(a1,f9(x41941),a1),f11(f9(x41942),a1,f9(x41943)))),
% 171.69/171.81 inference(scs_inference,[],[187,3875,2115,18,21])).
% 171.69/171.81 cnf(4225,plain,
% 171.69/171.81 (P7(f5(a2,f5(f13(a1),f9(x42251))),a2)),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,91,108,109])).
% 171.69/171.81 cnf(4227,plain,
% 171.69/171.81 (~P2(f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,1223,91,108,109,71])).
% 171.69/171.81 cnf(4229,plain,
% 171.69/171.81 (P3(f10(f10(f10(a2))),f13(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,1223,91,108,109,71,73])).
% 171.69/171.81 cnf(4231,plain,
% 171.69/171.81 (~P7(f5(f13(f13(a1)),f13(f9(x42311))),f13(f9(x42311)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,1223,91,108,109,71,73,113])).
% 171.69/171.81 cnf(4233,plain,
% 171.69/171.81 (E(f11(x42331,x42332,f5(x42333,f9(x42334))),f11(x42331,x42332,f5(x42333,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10])).
% 171.69/171.81 cnf(4234,plain,
% 171.69/171.81 (E(f11(f5(x42341,f9(x42342)),x42343,x42344),f11(f5(x42341,a1),x42343,x42344))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8])).
% 171.69/171.81 cnf(4235,plain,
% 171.69/171.81 (E(f7(f5(x42351,f9(x42352))),f7(f5(x42351,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5])).
% 171.69/171.81 cnf(4236,plain,
% 171.69/171.81 (E(f11(x42361,f5(x42362,f9(x42363)),x42364),f11(x42361,f5(x42362,a1),x42364))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9])).
% 171.69/171.81 cnf(4237,plain,
% 171.69/171.81 (E(f14(f5(x42371,f9(x42372)),x42373),f14(f5(x42371,a1),x42373))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9,11])).
% 171.69/171.81 cnf(4238,plain,
% 171.69/171.81 (E(f14(x42381,f5(x42382,f9(x42383))),f14(x42381,f5(x42382,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9,11,12])).
% 171.69/171.81 cnf(4239,plain,
% 171.69/171.81 (E(f5(x42391,f5(x42392,f9(x42393))),f5(x42391,f5(x42392,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9,11,12,14])).
% 171.69/171.81 cnf(4240,plain,
% 171.69/171.81 (E(f10(f5(x42401,f9(x42402))),f10(f5(x42401,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9,11,12,14,15])).
% 171.69/171.81 cnf(4241,plain,
% 171.69/171.81 (E(f12(f5(x42411,f9(x42412))),f12(f5(x42411,a1)))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,2176,182,1223,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6])).
% 171.69/171.81 cnf(4242,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,3842,2176,182,453,1223,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21])).
% 171.69/171.81 cnf(4245,plain,
% 171.69/171.81 (E(a1,f5(f13(f9(x42451)),a1))),
% 171.69/171.81 inference(scs_inference,[],[3650,2318,3842,2176,182,453,1223,1400,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3])).
% 171.69/171.81 cnf(4247,plain,
% 171.69/171.81 (E(f5(x42471,f9(x42472)),f5(x42471,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(4248,plain,
% 171.69/171.81 (~E(f5(f10(a2),a1),f5(f13(f13(a2)),f10(a2)))),
% 171.69/171.81 inference(scs_inference,[],[1178,3650,2318,3842,2176,3579,182,453,1223,1400,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17])).
% 171.69/171.81 cnf(4249,plain,
% 171.69/171.81 (P9(f14(f9(x42491),f9(x42492)),f14(f9(x42493),f9(x42494)))),
% 171.69/171.81 inference(scs_inference,[],[1178,3650,840,2318,3842,2176,3579,182,453,755,1223,1400,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20])).
% 171.69/171.81 cnf(4251,plain,
% 171.69/171.81 (E(f5(x42511,f9(x42512)),f5(x42511,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(4255,plain,
% 171.69/171.81 (P3(f7(x42551),x42551)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4256,plain,
% 171.69/171.81 (~P3(f13(a4),a4)),
% 171.69/171.81 inference(scs_inference,[],[2995,1178,3650,840,2318,1661,3842,2176,1862,3579,177,53,182,4247,453,2115,755,268,1223,1400,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90])).
% 171.69/171.81 cnf(4257,plain,
% 171.69/171.81 (~P7(f13(x42571),x42571)),
% 171.69/171.81 inference(rename_variables,[],[2115])).
% 171.69/171.81 cnf(4260,plain,
% 171.69/171.81 (P16(f5(f13(f9(x42601)),a1))),
% 171.69/171.81 inference(scs_inference,[],[2995,1178,3650,840,2318,1661,3842,2176,1862,3579,177,53,182,4247,4251,453,2115,45,755,268,1223,1098,1400,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24])).
% 171.69/171.81 cnf(4261,plain,
% 171.69/171.81 (E(f5(x42611,f9(x42612)),f5(x42611,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(4263,plain,
% 171.69/171.81 (P7(f7(f13(f9(x42631))),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[2995,1178,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,182,4247,4251,453,2115,45,755,268,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110])).
% 171.69/171.81 cnf(4269,plain,
% 171.69/171.81 (~P7(x42691,f7(f13(f5(f13(f9(x42692)),f9(x42693)))))),
% 171.69/171.81 inference(scs_inference,[],[2051,1157,2995,1178,1357,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,182,4247,4251,453,2115,45,755,268,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111])).
% 171.69/171.81 cnf(4270,plain,
% 171.69/171.81 (P3(f7(x42701),x42701)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4273,plain,
% 171.69/171.81 (P3(f7(x42731),x42731)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4276,plain,
% 171.69/171.81 (P3(f7(x42761),x42761)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4278,plain,
% 171.69/171.81 (P11(f7(f13(f5(f13(a2),f7(a2)))))),
% 171.69/171.81 inference(scs_inference,[],[2051,1157,1649,2995,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,182,4247,4251,453,2115,45,755,268,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97])).
% 171.69/171.81 cnf(4279,plain,
% 171.69/171.81 (P3(f7(x42791),x42791)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4281,plain,
% 171.69/171.81 (P15(f7(f13(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[2051,324,1157,1649,2995,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,182,4247,4251,453,2115,45,755,268,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101])).
% 171.69/171.81 cnf(4282,plain,
% 171.69/171.81 (P3(f7(x42821),x42821)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4285,plain,
% 171.69/171.81 (P3(f7(x42851),x42851)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4288,plain,
% 171.69/171.81 (P3(f7(x42881),x42881)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4291,plain,
% 171.69/171.81 (P3(f7(x42911),x42911)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4293,plain,
% 171.69/171.81 (P15(f5(f13(f10(a2)),a1))),
% 171.69/171.81 inference(scs_inference,[],[2051,1256,1135,324,1157,1649,2995,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,182,4247,4251,453,2115,45,755,268,1481,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102])).
% 171.69/171.81 cnf(4294,plain,
% 171.69/171.81 (P3(f5(f13(x42941),a1),f13(x42941))),
% 171.69/171.81 inference(rename_variables,[],[1481])).
% 171.69/171.81 cnf(4296,plain,
% 171.69/171.81 (P1(f5(f13(f10(a2)),a1))),
% 171.69/171.81 inference(scs_inference,[],[2051,1256,1135,324,1157,1649,2995,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,182,4247,4251,453,2115,45,755,268,1481,4294,1223,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95])).
% 171.69/171.81 cnf(4300,plain,
% 171.69/171.81 (P3(f7(x43001),x43001)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4303,plain,
% 171.69/171.81 (P3(f7(x43031),x43031)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4305,plain,
% 171.69/171.81 (P15(f5(f13(f10(a2)),f9(x43051)))),
% 171.69/171.81 inference(scs_inference,[],[2051,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,453,2115,45,755,268,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103])).
% 171.69/171.81 cnf(4308,plain,
% 171.69/171.81 (~P7(f5(a4,f14(a8,a4)),f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119])).
% 171.69/171.81 cnf(4310,plain,
% 171.69/171.81 (P4(f11(a8,a4,f5(a4,f14(a8,a4))),a8)),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116])).
% 171.69/171.81 cnf(4312,plain,
% 171.69/171.81 (P3(f11(a8,a4,f5(a4,f14(a8,a4))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118])).
% 171.69/171.81 cnf(4319,plain,
% 171.69/171.81 (E(f13(f5(x43191,f9(x43192))),f13(f5(x43191,a1)))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,4261,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118,2,107,89,7])).
% 171.69/171.81 cnf(4320,plain,
% 171.69/171.81 (P16(f7(f13(f7(f13(a2)))))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,999,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,4261,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118,2,107,89,7,66])).
% 171.69/171.81 cnf(4326,plain,
% 171.69/171.81 (E(f5(f5(x43261,f9(x43262)),x43263),f5(f5(x43261,a1),x43263))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,999,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,182,4247,4251,4261,453,2115,45,755,268,289,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118,2,107,89,7,66,62,60,13])).
% 171.69/171.81 cnf(4331,plain,
% 171.69/171.81 (P3(f7(x43311),x43311)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4334,plain,
% 171.69/171.81 (P3(f7(x43341),x43341)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(4336,plain,
% 171.69/171.81 (P11(f5(f13(f10(a2)),f9(x43361)))),
% 171.69/171.81 inference(scs_inference,[],[54,49,2051,193,1256,1135,324,2800,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,999,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,4303,4331,182,4247,4251,4261,187,453,2115,4257,45,755,268,289,2663,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118,2,107,89,7,66,62,60,13,1380,16,81,86,98])).
% 171.69/171.81 cnf(4342,plain,
% 171.69/171.81 (P3(f14(a3,f14(a3,f12(a3))),f13(f12(a3)))),
% 171.69/171.81 inference(scs_inference,[],[54,49,48,2051,193,1256,1135,2004,324,2800,1157,1649,2995,243,307,1178,1357,2292,434,474,3650,840,2318,1661,3842,2176,999,1862,3579,177,53,4255,4270,4273,4276,4279,4282,4285,4288,4291,4300,4303,4331,4334,182,4247,4251,4261,187,453,2115,4257,45,755,268,289,2663,1481,4294,1223,825,1098,1400,39,91,108,109,71,73,113,10,8,5,9,11,12,14,15,6,21,3,17,20,18,26,25,90,23,24,19,110,112,111,78,84,97,101,79,100,96,102,95,74,92,103,119,116,118,2,107,89,7,66,62,60,13,1380,16,81,86,98,85,114])).
% 171.69/171.81 cnf(4364,plain,
% 171.69/171.81 (~P3(f13(f13(x43641)),f13(x43641))),
% 171.69/171.81 inference(scs_inference,[],[2352,1531,57,2115,2,108,90])).
% 171.69/171.81 cnf(4367,plain,
% 171.69/171.81 (~P9(f13(f13(x43671)),x43671)),
% 171.69/171.81 inference(scs_inference,[],[2352,1531,57,2115,2,108,90,91])).
% 171.69/171.81 cnf(4370,plain,
% 171.69/171.81 (P9(f11(a1,x43701,a1),f11(f9(x43702),x43701,f9(x43703)))),
% 171.69/171.81 inference(scs_inference,[],[2352,293,2926,1531,57,188,2115,2,108,90,91,3,20])).
% 171.69/171.81 cnf(4398,plain,
% 171.69/171.81 (~E(f13(f13(x43981)),x43981)),
% 171.69/171.81 inference(scs_inference,[],[2051,2292,632,2115,2,19,18])).
% 171.69/171.81 cnf(4422,plain,
% 171.69/171.81 (~P9(f13(a4),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[2051,2352,1157,742,177,26,112,111,89,91])).
% 171.69/171.81 cnf(4433,plain,
% 171.69/171.81 (~P7(f5(f13(a4),f13(a1)),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[4422,113])).
% 171.69/171.81 cnf(4437,plain,
% 171.69/171.81 (~P9(f12(a8),f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[4031,453,4422,113,109,21])).
% 171.69/171.81 cnf(4440,plain,
% 171.69/171.81 (P3(f5(f13(a4),f13(a1)),f13(a4))),
% 171.69/171.81 inference(scs_inference,[],[4031,177,453,4422,113,109,21,112])).
% 171.69/171.81 cnf(4443,plain,
% 171.69/171.81 (~P9(f12(a8),f14(a8,a4))),
% 171.69/171.81 inference(scs_inference,[],[193,4031,177,453,289,4422,113,109,21,112,110])).
% 171.69/171.81 cnf(4446,plain,
% 171.69/171.81 (P3(f14(a8,a1),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[49,193,1712,4256,4031,177,453,516,289,4422,113,109,21,112,110,25,114])).
% 171.69/171.81 cnf(4449,plain,
% 171.69/171.81 (~P3(f12(a8),f13(f14(a8,a4)))),
% 171.69/171.81 inference(scs_inference,[],[49,193,1712,4256,4031,177,453,516,289,4422,113,109,21,112,110,25,114,108])).
% 171.69/171.81 cnf(4451,plain,
% 171.69/171.81 (~P7(f13(a4),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[49,193,1712,4256,4031,177,453,516,289,4422,113,109,21,112,110,25,114,108,107])).
% 171.69/171.81 cnf(4461,plain,
% 171.69/171.81 (P9(f5(f13(a4),f13(a1)),a4)),
% 171.69/171.81 inference(scs_inference,[],[4440,108])).
% 171.69/171.81 cnf(4465,plain,
% 171.69/171.81 (P7(f5(f12(a8),f14(a8,a4)),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[2396,4440,4446,4443,108,112,109])).
% 171.69/171.81 cnf(4481,plain,
% 171.69/171.81 (~P9(f10(a2),f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[4465,4449,3477,453,89,107,21])).
% 171.69/171.81 cnf(4502,plain,
% 171.69/171.81 (P9(f14(a8,a1),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[4446,108])).
% 171.69/171.81 cnf(4504,plain,
% 171.69/171.81 (P9(f5(x45041,a1),f5(x45041,f9(x45042)))),
% 171.69/171.81 inference(scs_inference,[],[4446,182,52,108,20])).
% 171.69/171.81 cnf(4525,plain,
% 171.69/171.81 (~P7(f5(f12(a8),f14(a8,a4)),f14(a8,a4))),
% 171.69/171.81 inference(scs_inference,[],[4443,113])).
% 171.69/171.81 cnf(4539,plain,
% 171.69/171.81 (~P3(f5(f13(a4),f13(a1)),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[4433,57,90])).
% 171.69/171.81 cnf(4543,plain,
% 171.69/171.81 (~P9(f5(f13(a4),f13(a1)),a1)),
% 171.69/171.81 inference(scs_inference,[],[4440,4433,57,90,26,91])).
% 171.69/171.81 cnf(4551,plain,
% 171.69/171.81 (P7(f14(a8,a1),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[4446,57,90])).
% 171.69/171.81 cnf(4562,plain,
% 171.69/171.81 (~P9(a4,f5(f13(a1),a1))),
% 171.69/171.81 inference(scs_inference,[],[3380,453,21])).
% 171.69/171.81 cnf(4567,plain,
% 171.69/171.81 (~E(a1,f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[122,685,3380,2115,453,4543,21,17,20])).
% 171.69/171.81 cnf(4569,plain,
% 171.69/171.81 (P9(f10(a4),a4)),
% 171.69/171.81 inference(scs_inference,[],[122,685,3380,2115,453,1403,4543,21,17,20,108])).
% 171.69/171.81 cnf(4593,plain,
% 171.69/171.81 (P9(f14(a8,f9(x45931)),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[2051,4502,1630,454,110,20])).
% 171.69/171.81 cnf(4610,plain,
% 171.69/171.81 (~E(f9(x46101),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4567,212,3])).
% 171.69/171.81 cnf(4642,plain,
% 171.69/171.81 (~P2(f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4567,2,59])).
% 171.69/171.81 cnf(4659,plain,
% 171.69/171.81 (~P9(f13(a4),f13(f9(x46591)))),
% 171.69/171.81 inference(scs_inference,[],[189,4422,21])).
% 171.69/171.81 cnf(4751,plain,
% 171.69/171.81 (~P9(f5(f13(a4),f13(a1)),f9(x47511))),
% 171.69/171.81 inference(scs_inference,[],[175,4543,21])).
% 171.69/171.81 cnf(4774,plain,
% 171.69/171.81 (~P3(f13(a4),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4642,4451,90])).
% 171.69/171.81 cnf(4927,plain,
% 171.69/171.81 (P7(f5(f13(a4),f7(a4)),f13(a4))),
% 171.69/171.81 inference(scs_inference,[],[2051,741,110,108,89,113,109])).
% 171.69/171.81 cnf(4929,plain,
% 171.69/171.81 (P3(f5(f13(a4),f7(a4)),f13(a4))),
% 171.69/171.81 inference(scs_inference,[],[2051,177,741,110,108,89,113,109,112])).
% 171.69/171.81 cnf(4949,plain,
% 171.69/171.81 (P9(f5(f13(a4),f7(a4)),a4)),
% 171.69/171.81 inference(scs_inference,[],[4929,108])).
% 171.69/171.81 cnf(5020,plain,
% 171.69/171.81 (~E(f5(f13(a4),f13(a1)),f9(x50201))),
% 171.69/171.81 inference(scs_inference,[],[4610,2])).
% 171.69/171.81 cnf(5029,plain,
% 171.69/171.81 (~P9(f13(f10(a2)),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[2051,1180,110])).
% 171.69/171.81 cnf(5152,plain,
% 171.69/171.81 (~P7(f5(f13(a4),f5(a4,a1)),f5(a4,a1))),
% 171.69/171.81 inference(scs_inference,[],[54,2051,1182,110,83,113])).
% 171.69/171.81 cnf(5156,plain,
% 171.69/171.81 (~P9(f13(a4),f5(a4,f9(x51561)))),
% 171.69/171.81 inference(scs_inference,[],[54,2051,182,1182,110,83,113,109,21])).
% 171.69/171.81 cnf(5239,plain,
% 171.69/171.81 (~P9(f13(a4),f5(f10(a4),f9(x52391)))),
% 171.69/171.81 inference(scs_inference,[],[2051,182,1821,110,21])).
% 171.69/171.81 cnf(5250,plain,
% 171.69/171.81 (~P7(x52501,f5(a4,a1))+~E(x52501,f5(f13(a4),f5(a4,a1)))),
% 171.69/171.81 inference(scs_inference,[],[4440,5152,99,17])).
% 171.69/171.81 cnf(5319,plain,
% 171.69/171.81 (~P3(f13(a2),f13(f5(a2,a1)))),
% 171.69/171.81 inference(scs_inference,[],[2051,470,110,108])).
% 171.69/171.81 cnf(5323,plain,
% 171.69/171.81 (~P7(f5(f13(a2),f5(a2,a1)),f5(a2,a1))),
% 171.69/171.81 inference(scs_inference,[],[2051,1888,470,110,108,79,113])).
% 171.69/171.81 cnf(5325,plain,
% 171.69/171.81 (P7(f5(f13(a2),f5(a2,a1)),f13(a2))),
% 171.69/171.81 inference(scs_inference,[],[2051,1888,470,110,108,79,113,109])).
% 171.69/171.81 cnf(5328,plain,
% 171.69/171.81 (~P9(f13(a2),f5(a2,f9(x53281)))),
% 171.69/171.81 inference(scs_inference,[],[2051,1888,182,185,470,110,108,79,113,109,19,21])).
% 171.69/171.81 cnf(5334,plain,
% 171.69/171.81 (P3(f5(f13(a2),f5(a2,a1)),f13(a2))),
% 171.69/171.81 inference(scs_inference,[],[5325,89])).
% 171.69/171.81 cnf(5342,plain,
% 171.69/171.81 (P15(f5(f13(a2),f5(a2,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5325,46,42,40,89,107,100,93,101])).
% 171.69/171.81 cnf(5346,plain,
% 171.69/171.81 (~P7(x53461,f5(a2,a1))+~E(x53461,f5(f13(a2),f5(a2,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5323,5325,46,42,40,89,107,100,93,101,108,17])).
% 171.69/171.81 cnf(5354,plain,
% 171.69/171.81 (P16(f5(f13(a2),f5(a2,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5319,46,5334,89,105])).
% 171.69/171.81 cnf(5357,plain,
% 171.69/171.81 (P17(f5(f13(a2),f5(a2,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5319,212,46,5334,89,105,28,106])).
% 171.69/171.81 cnf(5408,plain,
% 171.69/171.81 (~P7(f5(f13(f10(a2)),f13(a1)),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[4336,5029,60,113])).
% 171.69/171.81 cnf(5410,plain,
% 171.69/171.81 (P9(f14(f9(x54101),x54102),f14(a1,x54102))),
% 171.69/171.81 inference(scs_inference,[],[4336,2401,5029,60,113,108])).
% 171.69/171.81 cnf(5414,plain,
% 171.69/171.81 (~E(f7(f13(a1)),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4336,4751,4593,413,2401,5029,60,113,108,91,20])).
% 171.69/171.81 cnf(5418,plain,
% 171.69/171.81 (~E(f5(f13(a1),a1),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4336,4751,4539,5323,4593,413,2401,5029,1656,182,60,113,108,91,20,18,25])).
% 171.69/171.81 cnf(5425,plain,
% 171.69/171.81 (~E(f13(f13(a4)),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4336,4774,4949,4751,4539,5323,4593,413,261,2401,5029,5020,3910,845,371,1656,182,177,60,113,108,91,20,18,25,110,3,29,26])).
% 171.69/171.81 cnf(5429,plain,
% 171.69/171.81 (P9(f11(f9(x54291),f9(x54292),f9(x54293)),f11(f9(x54294),f9(x54295),f9(x54296)))),
% 171.69/171.81 inference(scs_inference,[],[4336,3989,4774,4949,4751,4539,4551,5323,4593,413,261,2401,5029,5020,3910,3845,845,371,1656,454,182,177,60,113,108,91,20,18,25,110,3,29,26,17,21])).
% 171.69/171.81 cnf(5456,plain,
% 171.69/171.81 (E(f5(x54561,f5(x54562,f9(x54563))),f5(x54561,f5(x54562,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4239])).
% 171.69/171.81 cnf(5462,plain,
% 171.69/171.81 (~P3(f5(f13(a2),f13(a1)),f13(f5(f13(a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[4242,4233,4239,5456,4263,5250,5346,15,107,108])).
% 171.69/171.81 cnf(5464,plain,
% 171.69/171.81 (P3(f5(a2,f5(f13(a1),f9(x54641))),a2)),
% 171.69/171.81 inference(scs_inference,[],[4242,4225,4233,4239,5456,4263,5250,5346,15,107,108,89])).
% 171.69/171.81 cnf(5466,plain,
% 171.69/171.81 (E(f11(x54661,x54662,f5(x54663,a1)),f11(x54661,x54662,f5(x54663,f9(x54664))))),
% 171.69/171.81 inference(scs_inference,[],[4242,4225,4233,4239,5456,4263,5250,5346,15,107,108,89,2])).
% 171.69/171.81 cnf(5468,plain,
% 171.69/171.81 (P3(f7(x54681),x54681)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5471,plain,
% 171.69/171.81 (P3(f7(x54711),x54711)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5474,plain,
% 171.69/171.81 (P3(f7(x54741),x54741)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5476,plain,
% 171.69/171.81 (P1(f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[4242,4278,4225,999,1249,4229,4233,4239,5456,4263,53,5468,5471,5250,5346,15,107,108,89,2,75,88,82,92])).
% 171.69/171.81 cnf(5478,plain,
% 171.69/171.81 (P15(f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[4242,4278,4225,999,1249,1649,4229,4233,4239,5456,4263,53,5468,5471,5250,5346,15,107,108,89,2,75,88,82,92,103])).
% 171.69/171.81 cnf(5481,plain,
% 171.69/171.81 (P3(f7(x54811),x54811)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5484,plain,
% 171.69/171.81 (P3(f7(x54841),x54841)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5487,plain,
% 171.69/171.81 (P3(f7(x54871),x54871)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5492,plain,
% 171.69/171.81 (P3(f7(x54921),x54921)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5494,plain,
% 171.69/171.81 (P3(f14(a3,f14(a3,f14(a3,f12(a3)))),f13(f12(a3)))),
% 171.69/171.81 inference(scs_inference,[],[4242,4342,4296,4278,4281,4225,999,5354,1251,1249,1649,48,4229,4233,4239,5456,4263,53,5468,5471,5474,5481,5484,5487,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114])).
% 171.69/171.81 cnf(5497,plain,
% 171.69/171.81 (P3(f7(x54971),x54971)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5500,plain,
% 171.69/171.81 (P3(f7(x55001),x55001)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5502,plain,
% 171.69/171.81 (P1(f5(f13(f7(f13(f10(a2)))),a1))),
% 171.69/171.81 inference(scs_inference,[],[4242,4342,4296,4278,4281,4225,999,5354,1251,1249,1649,48,4229,4233,4239,5456,4263,1481,53,5468,5471,5474,5481,5484,5487,5492,5497,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94])).
% 171.69/171.81 cnf(5503,plain,
% 171.69/171.81 (P3(f5(f13(x55031),a1),f13(x55031))),
% 171.69/171.81 inference(rename_variables,[],[1481])).
% 171.69/171.81 cnf(5506,plain,
% 171.69/171.81 (P3(f7(x55061),x55061)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5508,plain,
% 171.69/171.81 (P3(f5(f13(f9(x55081)),a1),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[4242,4342,4296,4278,4281,4225,999,5354,1251,1425,1249,1649,48,4229,4233,4239,5456,4263,1481,1053,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112])).
% 171.69/171.81 cnf(5511,plain,
% 171.69/171.81 (~P3(a2,f13(f7(f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[4242,4342,4296,4278,4281,4225,999,5354,1251,1425,261,1249,1649,48,4229,4233,4239,5456,4263,1481,1053,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111])).
% 171.69/171.81 cnf(5516,plain,
% 171.69/171.81 (P9(f11(x55161,f9(x55162),f5(x55163,a1)),f11(x55161,a1,f5(x55163,f9(x55164))))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,261,1249,1649,48,4229,4233,4239,5456,4263,1481,1053,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20])).
% 171.69/171.81 cnf(5517,plain,
% 171.69/171.81 (E(f11(x55171,x55172,f5(x55173,f9(x55174))),f11(x55171,x55172,f5(x55173,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4233])).
% 171.69/171.81 cnf(5520,plain,
% 171.69/171.81 (E(f11(x55201,x55202,f5(x55203,f9(x55204))),f11(x55201,x55202,f5(x55203,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4233])).
% 171.69/171.81 cnf(5522,plain,
% 171.69/171.81 (P3(f11(f9(x55221),x55222,f5(x55223,a1)),f13(f11(a1,x55222,f5(x55223,f9(x55224)))))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,261,1249,2120,1649,48,4229,4233,5517,5520,4239,5456,4192,4263,1481,1053,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25])).
% 171.69/171.81 cnf(5523,plain,
% 171.69/171.81 (E(f11(x55231,x55232,f5(x55233,f9(x55234))),f11(x55231,x55232,f5(x55233,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4233])).
% 171.69/171.81 cnf(5526,plain,
% 171.69/171.81 (~P7(f13(x55261),x55261)),
% 171.69/171.81 inference(rename_variables,[],[2115])).
% 171.69/171.81 cnf(5528,plain,
% 171.69/171.81 (E(f11(f5(x55281,f9(x55282)),x55283,f5(x55284,f9(x55285))),f11(f5(x55281,a1),x55283,f5(x55284,a1)))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,261,1249,2120,1649,48,4229,4233,5517,5520,5523,4234,4239,5456,4192,4227,4263,1481,1053,2115,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3])).
% 171.69/171.81 cnf(5529,plain,
% 171.69/171.81 (E(f11(x55291,x55292,f5(x55293,f9(x55294))),f11(x55291,x55292,f5(x55293,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4233])).
% 171.69/171.81 cnf(5531,plain,
% 171.69/171.81 (P2(f5(f13(f9(x55311)),a1))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,261,1249,2120,1649,48,4229,4233,5517,5520,5523,4234,4239,5456,4192,4227,4263,4245,1481,1053,47,2115,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29])).
% 171.69/171.81 cnf(5532,plain,
% 171.69/171.81 (P3(f7(f11(a1,a1,f5(x55321,f9(x55322)))),f11(f9(x55323),f9(x55324),f5(x55321,a1)))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4227,4263,4245,1481,1053,47,2115,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26])).
% 171.69/171.81 cnf(5533,plain,
% 171.69/171.81 (E(f11(x55331,x55332,f5(x55333,f9(x55334))),f11(x55331,x55332,f5(x55333,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4233])).
% 171.69/171.81 cnf(5537,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),f7(f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[4269,4242,4342,4296,4278,4281,4225,999,5354,542,1251,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4227,4263,4245,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21])).
% 171.69/171.81 cnf(5538,plain,
% 171.69/171.81 (P9(a4,f11(a8,a4,f5(f12(a8),f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4227,4263,4245,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115])).
% 171.69/171.81 cnf(5540,plain,
% 171.69/171.81 (P4(f11(a8,a4,f5(f12(a8),f14(a8,a4))),a8)),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4227,4263,4245,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116])).
% 171.69/171.81 cnf(5542,plain,
% 171.69/171.81 (P3(f11(a8,a4,f5(f12(a8),f14(a8,a4))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4227,4263,4245,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118])).
% 171.69/171.81 cnf(5548,plain,
% 171.69/171.81 (E(f5(f13(f9(x55481)),a1),a1)),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59])).
% 171.69/171.81 cnf(5552,plain,
% 171.69/171.81 (~P7(x55521,f5(f13(f9(x55522)),a1))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72])).
% 171.69/171.81 cnf(5554,plain,
% 171.69/171.81 (E(f11(f11(x55541,x55542,f5(x55543,f9(x55544))),x55545,x55546),f11(f11(x55541,x55542,f5(x55543,a1)),x55545,x55546))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8])).
% 171.69/171.81 cnf(5555,plain,
% 171.69/171.81 (~P2(f10(f10(f10(f10(a2)))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71])).
% 171.69/171.81 cnf(5557,plain,
% 171.69/171.81 (E(f11(x55571,x55572,f11(x55573,x55574,f5(x55575,f9(x55576)))),f11(x55571,x55572,f11(x55573,x55574,f5(x55575,a1))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10])).
% 171.69/171.81 cnf(5558,plain,
% 171.69/171.81 (E(f14(f11(x55581,x55582,f5(x55583,f9(x55584))),x55585),f14(f11(x55581,x55582,f5(x55583,a1)),x55585))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11])).
% 171.69/171.81 cnf(5559,plain,
% 171.69/171.81 (E(f14(x55591,f11(x55592,x55593,f5(x55594,f9(x55595)))),f14(x55591,f11(x55592,x55593,f5(x55594,a1))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12])).
% 171.69/171.81 cnf(5562,plain,
% 171.69/171.81 (E(f11(x55621,f11(x55622,x55623,f5(x55624,f9(x55625))),x55626),f11(x55621,f11(x55622,x55623,f5(x55624,a1)),x55626))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9])).
% 171.69/171.81 cnf(5565,plain,
% 171.69/171.81 (E(f7(f11(x55651,x55652,f5(x55653,f9(x55654)))),f7(f11(x55651,x55652,f5(x55653,a1))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5])).
% 171.69/171.81 cnf(5566,plain,
% 171.69/171.81 (E(f13(f11(x55661,x55662,f5(x55663,f9(x55664)))),f13(f11(x55661,x55662,f5(x55663,a1))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7])).
% 171.69/171.81 cnf(5567,plain,
% 171.69/171.81 (P7(f5(f5(f13(a2),f13(a1)),f5(f13(a1),a1)),f5(f13(a2),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109])).
% 171.69/171.81 cnf(5573,plain,
% 171.69/171.81 (P3(f7(x55731),x55731)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5575,plain,
% 171.69/171.81 (P16(f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104])).
% 171.69/171.81 cnf(5578,plain,
% 171.69/171.81 (P3(f7(x55781),x55781)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5580,plain,
% 171.69/171.81 (P17(f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5573,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104,86,106])).
% 171.69/171.81 cnf(5582,plain,
% 171.69/171.81 (P1(f5(f13(f5(f13(a2),f5(a2,a1))),a1))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,5503,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5573,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104,86,106,95])).
% 171.69/171.81 cnf(5589,plain,
% 171.69/171.81 (P3(f5(f13(x55891),f9(x55892)),f13(x55891))),
% 171.69/171.81 inference(rename_variables,[],[825])).
% 171.69/171.81 cnf(5591,plain,
% 171.69/171.81 (P11(f5(f13(f7(f13(f7(f13(a2))))),f9(x55911)))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,5503,825,5589,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5573,5578,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104,86,106,95,80,93,100])).
% 171.69/171.81 cnf(5594,plain,
% 171.69/171.81 (~P7(f5(f12(a8),f14(a8,a4)),f11(a8,a4,f5(f12(a8),f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,5503,825,5589,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5573,5578,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104,86,106,95,80,93,100,119])).
% 171.69/171.81 cnf(5596,plain,
% 171.69/171.81 (P12(f5(a2,f5(f13(a1),f9(x55961))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4269,4242,4342,4296,4278,4281,4225,999,4525,5354,542,1251,4465,1425,572,261,1249,2120,1649,48,4229,4248,4233,5517,5520,5523,5529,5533,4234,4239,5456,4192,4320,4227,4263,4245,2761,3012,3458,1670,1481,5503,825,5589,1053,47,2115,5526,53,5468,5471,5474,5481,5484,5487,5492,5497,5500,5506,5573,5578,5250,5346,15,107,108,89,2,75,88,82,92,103,77,83,74,97,76,114,78,84,94,85,112,111,110,20,18,25,90,3,29,26,17,21,115,116,118,73,64,59,62,72,8,71,10,11,12,1380,9,14,6,5,7,109,13,70,81,104,86,106,95,80,93,100,119,360])).
% 171.69/171.81 cnf(5600,plain,
% 171.69/171.81 (P9(f5(f13(f9(x56001)),a1),x56002)),
% 171.69/171.81 inference(scs_inference,[],[5552,109])).
% 171.69/171.81 cnf(5605,plain,
% 171.69/171.81 (P9(f11(a8,a4,f5(a4,f14(a8,a4))),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5552,109,107,108])).
% 171.69/171.81 cnf(5610,plain,
% 171.69/171.81 (P1(f5(f13(f10(f10(f10(a2)))),a1))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5511,5418,5580,5552,1481,109,107,108,89,2,96])).
% 171.69/171.81 cnf(5611,plain,
% 171.69/171.81 (P3(f5(f13(x56111),a1),f13(x56111))),
% 171.69/171.81 inference(rename_variables,[],[1481])).
% 171.69/171.81 cnf(5617,plain,
% 171.69/171.81 (P15(f5(f13(f10(f10(f10(a2)))),a1))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5511,5418,5580,5552,5464,1481,5611,44,46,109,107,108,89,2,96,81,88,103])).
% 171.69/171.81 cnf(5621,plain,
% 171.69/171.81 (P3(f7(x56211),x56211)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5623,plain,
% 171.69/171.81 (P13(f5(a2,f5(f13(a1),f9(x56231))))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5511,5418,5580,5552,5464,1481,5611,44,42,46,53,109,107,108,89,2,96,81,88,103,82,83])).
% 171.69/171.81 cnf(5626,plain,
% 171.69/171.81 (P3(f7(x56261),x56261)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5628,plain,
% 171.69/171.81 (P15(f5(f13(f10(f10(f10(a2)))),f9(x56281)))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5511,5418,5476,5580,2800,5552,5464,1481,5611,44,42,46,53,5621,109,107,108,89,2,96,81,88,103,82,83,74,101])).
% 171.69/171.81 cnf(5629,plain,
% 171.69/171.81 (P3(f5(x56291,f9(x56292)),f13(f5(x56291,a1)))),
% 171.69/171.81 inference(rename_variables,[],[2800])).
% 171.69/171.81 cnf(5632,plain,
% 171.69/171.81 (P3(f7(x56321),x56321)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5635,plain,
% 171.69/171.81 (~P7(f13(f12(a8)),f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,5511,5418,5476,5580,5596,4305,2396,2800,5552,5464,4239,1481,5611,44,42,46,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112])).
% 171.69/171.81 cnf(5640,plain,
% 171.69/171.81 (~P3(f5(f13(f10(a2)),f13(a1)),f13(a1))),
% 171.69/171.81 inference(scs_inference,[],[4312,5567,4308,5511,5418,5408,5476,5580,5596,4305,3359,2396,2800,5552,5464,4239,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90])).
% 171.69/171.81 cnf(5645,plain,
% 171.69/171.81 (~E(f14(f9(x56451),f9(x56452)),f13(f13(f14(f9(x56453),f9(x56454)))))),
% 171.69/171.81 inference(scs_inference,[],[4249,4312,5567,4308,5511,5418,5408,5476,5580,5596,4305,4269,3359,2396,2800,5552,5464,4367,4239,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20])).
% 171.69/171.81 cnf(5647,plain,
% 171.69/171.81 (~E(a4,f13(f13(f12(a8))))),
% 171.69/171.81 inference(scs_inference,[],[54,4249,4312,5567,4308,5511,5418,5408,5476,5580,5596,4305,4269,3359,4364,2396,2800,5552,5464,4367,4239,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25])).
% 171.69/171.81 cnf(5649,plain,
% 171.69/171.81 (~E(f13(f13(f11(x56491,f5(x56492,a1),x56493))),f11(x56491,f5(x56492,f9(x56494)),x56493))),
% 171.69/171.81 inference(scs_inference,[],[54,4249,4312,5567,4308,5511,5418,5408,5476,5580,5596,4305,4269,3359,4364,2396,2800,4236,5552,5464,4367,4239,4398,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25,3])).
% 171.69/171.81 cnf(5651,plain,
% 171.69/171.81 (P3(f7(f11(a1,a1,f5(x56511,f9(x56512)))),f11(f9(x56513),f9(x56514),f5(x56511,f9(x56515))))),
% 171.69/171.81 inference(scs_inference,[],[54,4249,4312,5567,4308,5511,5418,5408,5532,5476,5580,5596,4305,4269,3359,4364,2396,2800,4236,5466,5552,5464,4367,4239,4398,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25,3,26])).
% 171.69/171.81 cnf(5657,plain,
% 171.69/171.81 (P9(f11(f11(x56571,x56572,f5(x56573,f9(x56574))),f9(x56575),f5(x56576,a1)),f11(f11(x56571,x56572,f5(x56573,a1)),a1,f5(x56576,f9(x56577))))),
% 171.69/171.81 inference(scs_inference,[],[54,4249,4312,5567,4308,5511,5418,5408,5532,5516,5476,5580,5596,4305,4269,3359,1388,4364,2396,2800,5554,4236,5466,5552,5464,4367,4239,4398,1481,5611,44,42,46,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25,3,26,17,31,21])).
% 171.69/171.81 cnf(5662,plain,
% 171.69/171.81 (P9(a4,f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4249,4312,5567,4308,5511,5418,5408,5532,5516,5476,5580,5582,5596,4305,4269,3359,1388,4364,2396,2800,193,5554,4236,5466,5552,5464,4367,4239,4398,1481,5611,44,289,42,46,453,57,53,5621,5626,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25,3,26,17,31,21,16,115])).
% 171.69/171.81 cnf(5667,plain,
% 171.69/171.81 (P3(f7(x56671),x56671)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5670,plain,
% 171.69/171.81 (P3(f5(x56701,f9(x56702)),f13(f5(x56701,a1)))),
% 171.69/171.81 inference(rename_variables,[],[2800])).
% 171.69/171.81 cnf(5676,plain,
% 171.69/171.81 (P11(f5(f13(f10(f10(f10(a2)))),f9(x56761)))),
% 171.69/171.81 inference(scs_inference,[],[49,54,4249,4312,5567,4308,4310,5511,5418,5408,5532,5516,5476,5580,5582,5502,5596,4305,4269,2296,3359,2432,1388,4364,2396,2800,5629,5670,193,5554,4236,5466,5552,5464,4367,4239,4398,1481,5611,44,289,42,46,453,57,53,5621,5626,5632,5667,109,107,108,89,2,96,81,88,103,82,83,74,101,76,32,112,110,90,18,20,25,3,26,17,31,21,16,115,91,75,92,27,77,98])).
% 171.69/171.81 cnf(5685,plain,
% 171.69/171.81 (P7(f5(f5(f13(a2),f13(a1)),f7(f13(a1))),f5(f13(a2),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5537,109])).
% 171.69/171.81 cnf(5691,plain,
% 171.69/171.81 (~P3(f5(f13(a2),f13(a1)),f13(f7(f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[5429,5537,109,107,91,108])).
% 171.69/171.81 cnf(5693,plain,
% 171.69/171.81 (P3(f5(f5(f13(a2),f13(a1)),f5(f13(a1),a1)),f5(f13(a2),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5429,5537,5567,109,107,91,108,89])).
% 171.69/171.81 cnf(5699,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f10(f10(f10(a2)))),f9(x56991))),f9(x56992)))),
% 171.69/171.81 inference(scs_inference,[],[5429,5628,5537,5623,5567,5557,4239,825,109,107,91,108,89,2,34,101])).
% 171.69/171.81 cnf(5700,plain,
% 171.69/171.81 (P3(f5(f13(x57001),f9(x57002)),f13(x57001))),
% 171.69/171.81 inference(rename_variables,[],[825])).
% 171.69/171.81 cnf(5705,plain,
% 171.69/171.81 (~P3(f13(a2),f13(f13(f5(f13(a1),a1))))),
% 171.69/171.81 inference(scs_inference,[],[5429,5462,5628,5537,5623,5575,5567,2384,5557,4239,825,1481,109,107,91,108,89,2,34,101,99,112])).
% 171.69/171.81 cnf(5707,plain,
% 171.69/171.81 (~P7(x57071,f5(f13(f7(f13(a1))),f9(x57072)))),
% 171.69/171.81 inference(scs_inference,[],[5429,5462,5628,5537,5623,5575,5567,2384,261,5557,4239,825,5700,1481,109,107,91,108,89,2,34,101,99,112,111])).
% 171.69/171.81 cnf(5710,plain,
% 171.69/171.81 (P7(f5(f10(a4),a1),f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[5429,5662,5462,5628,5537,5623,5575,5567,2384,1808,261,5557,4239,825,5700,1481,109,107,91,108,89,2,34,101,99,112,111,110])).
% 171.69/171.81 cnf(5712,plain,
% 171.69/171.81 (P7(f11(a8,a4,f5(f12(a8),f14(a8,a4))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[5429,5662,5462,5542,5628,5537,5623,5575,5567,2384,1808,261,5557,4239,825,5700,1481,57,109,107,91,108,89,2,34,101,99,112,111,110,90])).
% 171.69/171.81 cnf(5715,plain,
% 171.69/171.81 (~E(f5(f13(f9(x57151)),a1),f5(f13(f10(a2)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5429,5662,5462,5542,5628,5537,5640,5623,5508,5575,5567,2384,1808,261,5557,4239,825,5700,1481,57,109,107,91,108,89,2,34,101,99,112,111,110,90,25])).
% 171.69/171.81 cnf(5720,plain,
% 171.69/171.81 (~P3(f5(f13(a2),f13(a1)),f13(f5(f13(a1),f9(x57201))))),
% 171.69/171.81 inference(scs_inference,[],[58,5429,5594,5662,5462,5542,5628,5537,5600,5640,5623,5508,5575,2763,5567,2384,1808,261,4465,5557,4319,4245,4239,825,5700,1481,57,109,107,91,108,89,2,34,101,99,112,111,110,90,25,18,20,3,26])).
% 171.69/171.81 cnf(5725,plain,
% 171.69/171.81 (~E(f11(a8,a4,f5(a4,f14(a8,a4))),f14(a8,a4))),
% 171.69/171.81 inference(scs_inference,[],[58,5429,5594,5662,5462,5542,5628,5537,5600,5640,5623,5508,5575,2763,2758,5567,2384,1808,261,4465,5557,4237,4319,4245,4239,825,5700,1481,57,109,107,91,108,89,2,34,101,99,112,111,110,90,25,18,20,3,26,17,21])).
% 171.69/171.81 cnf(5726,plain,
% 171.69/171.81 (~P2(f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[58,5429,5594,5662,5462,5542,5628,5537,5600,5640,5623,5508,5575,2763,2758,5567,2384,1808,261,4465,5557,4237,4319,4245,4239,825,5700,1481,57,109,107,91,108,89,2,34,101,99,112,111,110,90,25,18,20,3,26,17,21,72])).
% 171.69/171.81 cnf(5733,plain,
% 171.69/171.81 (P9(f5(f13(f7(f13(a1))),f9(x57331)),x57332)),
% 171.69/171.81 inference(scs_inference,[],[5707,109])).
% 171.69/171.81 cnf(5734,plain,
% 171.69/171.81 (~P7(x57341,f5(f13(f7(f13(a1))),f9(x57342)))),
% 171.69/171.81 inference(rename_variables,[],[5707])).
% 171.69/171.81 cnf(5740,plain,
% 171.69/171.81 (P9(f11(f9(x57401),x57402,f5(x57403,a1)),f11(a1,x57402,f5(x57403,f9(x57404))))),
% 171.69/171.81 inference(scs_inference,[],[5707,5522,5712,5705,109,107,91,108])).
% 171.69/171.81 cnf(5747,plain,
% 171.69/171.81 (P3(f5(f5(f13(a2),f13(a1)),f7(f13(a1))),a2)),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5685,5720,5522,5712,5705,2386,2646,5693,109,107,91,108,89,2,87,112])).
% 171.69/171.81 cnf(5749,plain,
% 171.69/171.81 (~P3(f5(f13(a2),f13(a1)),f13(f5(f13(f9(x57491)),f9(x57492))))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5685,5720,5522,5712,5705,1357,2386,2646,5693,109,107,91,108,89,2,87,112,111])).
% 171.69/171.81 cnf(5752,plain,
% 171.69/171.81 (~P7(x57521,f5(f13(f7(f13(a1))),f9(x57522)))),
% 171.69/171.81 inference(rename_variables,[],[5707])).
% 171.69/171.81 cnf(5754,plain,
% 171.69/171.81 (P2(f5(f13(f7(f13(a1))),f9(x57541)))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5734,5752,5685,5720,5522,5712,5705,1357,2386,2646,5693,53,109,107,91,108,89,2,87,112,111,110,90])).
% 171.69/171.81 cnf(5756,plain,
% 171.69/171.81 (P3(f7(x57561),x57561)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5758,plain,
% 171.69/171.81 (P3(f11(f9(x57581),f11(x57582,x57583,f5(x57584,a1)),f5(x57585,a1)),f13(f11(a1,f11(x57582,x57583,f5(x57584,f9(x57586))),f5(x57585,f9(x57587)))))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5734,5752,5685,5720,5522,5712,5705,1357,2386,2646,5693,5562,53,109,107,91,108,89,2,87,112,111,110,90,25])).
% 171.69/171.81 cnf(5759,plain,
% 171.69/171.81 (E(f11(x57591,f11(x57592,x57593,f5(x57594,f9(x57595))),x57596),f11(x57591,f11(x57592,x57593,f5(x57594,a1)),x57596))),
% 171.69/171.81 inference(rename_variables,[],[5562])).
% 171.69/171.81 cnf(5761,plain,
% 171.69/171.81 (P9(f11(a1,f11(x57611,x57612,f5(x57613,a1)),a1),f11(f9(x57614),f11(x57611,x57612,f5(x57613,f9(x57615))),f9(x57616)))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5734,5752,5685,5720,5522,5712,4370,5705,1357,2386,2646,5693,5562,5759,53,109,107,91,108,89,2,87,112,111,110,90,25,20])).
% 171.69/171.81 cnf(5762,plain,
% 171.69/171.81 (E(f11(x57621,f11(x57622,x57623,f5(x57624,f9(x57625))),x57626),f11(x57621,f11(x57622,x57623,f5(x57624,a1)),x57626))),
% 171.69/171.81 inference(rename_variables,[],[5562])).
% 171.69/171.81 cnf(5767,plain,
% 171.69/171.81 (E(f14(f11(x57671,x57672,f5(x57673,f9(x57674))),f5(x57675,f9(x57676))),f14(f11(x57671,x57672,f5(x57673,a1)),f5(x57675,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5734,5752,5685,5720,5522,5712,4370,5705,1357,2386,2646,5693,5562,5759,5762,5558,4238,3648,53,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3])).
% 171.69/171.81 cnf(5768,plain,
% 171.69/171.81 (E(f14(x57681,f5(x57682,f9(x57683))),f14(x57681,f5(x57682,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4238])).
% 171.69/171.81 cnf(5770,plain,
% 171.69/171.81 (P3(f7(f14(x57701,f5(x57702,f9(x57703)))),f14(x57701,f5(x57702,a1)))),
% 171.69/171.81 inference(scs_inference,[],[5725,5707,5734,5752,5685,5720,5522,5712,4370,5705,1357,2386,2646,5693,5562,5759,5762,5558,4238,5768,3648,53,5756,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3,26])).
% 171.69/171.81 cnf(5771,plain,
% 171.69/171.81 (P3(f7(x57711),x57711)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5773,plain,
% 171.69/171.81 (~E(f11(a8,a4,f5(f12(a8),f14(a8,a4))),f14(a8,a4))),
% 171.69/171.81 inference(scs_inference,[],[58,5725,5538,5707,5734,5752,5685,5720,5522,5712,4370,5705,1357,2386,2646,5693,5562,5759,5762,5558,4238,5768,3648,2394,53,5756,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3,26,17,21])).
% 171.69/171.81 cnf(5776,plain,
% 171.69/171.81 (E(f5(f13(f7(f13(a1))),f9(x57761)),a1)),
% 171.69/171.81 inference(scs_inference,[],[58,5725,5538,5707,5734,5752,5685,5720,5522,5712,4370,5705,5610,1357,2386,2646,5693,5562,5759,5762,5558,4238,5768,3648,2394,453,53,5756,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3,26,17,21,16,59])).
% 171.69/171.81 cnf(5780,plain,
% 171.69/171.81 (~P7(f5(f13(a2),f5(a2,f9(x57801))),f5(a2,f9(x57801)))),
% 171.69/171.81 inference(scs_inference,[],[58,5725,5538,5707,5734,5752,5685,5720,5522,5712,4370,5705,5610,5328,5591,1357,2386,2646,5693,5562,5759,5762,5558,4238,5768,3648,2394,453,53,5756,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3,26,17,21,16,59,60,113])).
% 171.69/171.81 cnf(5783,plain,
% 171.69/171.81 (P15(f7(f13(f10(f10(f10(a2))))))),
% 171.69/171.81 inference(scs_inference,[],[58,5725,5538,5707,5734,5752,5685,5720,5522,5712,4370,5705,5610,5540,5328,5591,5575,1357,2386,2646,5693,5562,5759,5762,5558,4238,5768,3648,2394,453,53,5756,5771,109,107,91,108,89,2,87,112,111,110,90,25,20,18,3,26,17,21,16,59,60,113,28,102])).
% 171.69/171.81 cnf(5804,plain,
% 171.69/171.81 (P7(f5(f13(f12(a8)),f5(f10(a4),f9(x58041))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[1983,109])).
% 171.69/171.81 cnf(5808,plain,
% 171.69/171.81 (P3(f5(f13(f7(f13(a1))),f9(x58081)),f13(x58082))),
% 171.69/171.81 inference(scs_inference,[],[5733,1983,5710,109,107,91])).
% 171.69/171.81 cnf(5810,plain,
% 171.69/171.81 (~P3(f13(f12(a8)),f13(f5(f10(a4),f9(x58101))))),
% 171.69/171.81 inference(scs_inference,[],[5733,1983,5710,109,107,91,108])).
% 171.69/171.81 cnf(5814,plain,
% 171.69/171.81 (E(f14(x58141,f11(x58142,x58143,f5(x58144,a1))),f14(x58141,f11(x58142,x58143,f5(x58144,f9(x58145)))))),
% 171.69/171.81 inference(scs_inference,[],[5733,1983,5685,5710,5559,109,107,91,108,89,2])).
% 171.69/171.81 cnf(5816,plain,
% 171.69/171.81 (P3(f7(x58161),x58161)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5819,plain,
% 171.69/171.81 (P3(f7(x58191),x58191)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5821,plain,
% 171.69/171.81 (~P7(f13(f10(a2)),f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[5733,1983,1314,5575,2944,5685,5710,5559,4229,53,5816,109,107,91,108,89,2,84,85,112])).
% 171.69/171.81 cnf(5823,plain,
% 171.69/171.81 (P7(f7(f11(a8,a4,f5(a4,f14(a8,a4)))),f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[5733,1983,1314,5575,2944,5685,5710,5726,5559,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90])).
% 171.69/171.81 cnf(5826,plain,
% 171.69/171.81 (P3(f7(f11(a1,a1,f5(x58261,a1))),f11(f9(x58262),f9(x58263),f5(x58261,f9(x58264))))),
% 171.69/171.81 inference(scs_inference,[],[5733,5651,1983,1314,5575,2944,5685,5710,5726,5559,5565,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25])).
% 171.69/171.81 cnf(5836,plain,
% 171.69/171.81 (P3(f7(f14(f9(x58361),f5(x58362,f9(x58363)))),f14(f9(x58364),f5(x58362,a1)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,5770,5754,5651,1983,4130,1314,5707,5575,2944,5685,5710,5726,5559,5565,4326,2852,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26])).
% 171.69/171.81 cnf(5841,plain,
% 171.69/171.81 (P3(f10(f5(f13(a4),f13(a1))),f13(f5(f13(a4),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5651,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73])).
% 171.69/171.81 cnf(5845,plain,
% 171.69/171.81 (~P2(f10(f11(a8,a4,f5(a4,f14(a8,a4)))))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71])).
% 171.69/171.81 cnf(5849,plain,
% 171.69/171.81 (E(f11(f5(f5(x58491,f9(x58492)),x58493),x58494,x58495),f11(f5(f5(x58491,a1),x58493),x58494,x58495))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8])).
% 171.69/171.81 cnf(5850,plain,
% 171.69/171.81 (E(f11(x58501,x58502,f5(f5(x58503,f9(x58504)),x58505)),f11(x58501,x58502,f5(f5(x58503,a1),x58505)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10])).
% 171.69/171.81 cnf(5853,plain,
% 171.69/171.81 (E(f14(f5(f5(x58531,f9(x58532)),x58533),x58534),f14(f5(f5(x58531,a1),x58533),x58534))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11])).
% 171.69/171.81 cnf(5854,plain,
% 171.69/171.81 (E(f5(x58541,f5(f5(x58542,f9(x58543)),x58544)),f5(x58541,f5(f5(x58542,a1),x58544)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14])).
% 171.69/171.81 cnf(5855,plain,
% 171.69/171.81 (E(f14(x58551,f5(f5(x58552,f9(x58553)),x58554)),f14(x58551,f5(f5(x58552,a1),x58554)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12])).
% 171.69/171.81 cnf(5856,plain,
% 171.69/171.81 (E(f7(f5(f5(x58561,f9(x58562)),x58563)),f7(f5(f5(x58561,a1),x58563)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12,5])).
% 171.69/171.81 cnf(5857,plain,
% 171.69/171.81 (E(f11(x58571,f5(f5(x58572,f9(x58573)),x58574),x58575),f11(x58571,f5(f5(x58572,a1),x58574),x58575))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12,5,9])).
% 171.69/171.81 cnf(5858,plain,
% 171.69/171.81 (E(f12(f5(f5(x58581,f9(x58582)),x58583)),f12(f5(f5(x58581,a1),x58583)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12,5,9,6])).
% 171.69/171.81 cnf(5859,plain,
% 171.69/171.81 (E(f10(f5(f5(x58591,f9(x58592)),x58593)),f10(f5(f5(x58591,a1),x58593)))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12,5,9,6,15])).
% 171.69/171.81 cnf(5861,plain,
% 171.69/171.81 (E(f5(f5(f5(x58611,f9(x58612)),x58613),x58614),f5(f5(f5(x58611,a1),x58613),x58614))),
% 171.69/171.81 inference(scs_inference,[],[58,5733,4231,5770,5754,5783,5651,5747,1983,4130,1314,5707,5575,1425,2944,5685,5710,5726,5559,5565,4326,2852,4642,3882,4398,4229,53,5816,5819,109,107,91,108,89,2,84,85,112,90,25,29,20,18,3,26,17,73,360,71,62,8,10,1380,11,14,12,5,9,6,15,7,13])).
% 171.69/171.81 cnf(5888,plain,
% 171.69/171.81 (P3(f5(f13(f7(f13(a1))),f9(x58881)),f13(x58882))),
% 171.69/171.81 inference(rename_variables,[],[5808])).
% 171.69/171.81 cnf(5890,plain,
% 171.69/171.81 (P3(f14(a3,f14(a3,f14(a3,f14(a3,f12(a3))))),f13(f12(a3)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5494,5357,48,5808,107,91,108,89,2,96,114])).
% 171.69/171.81 cnf(5892,plain,
% 171.69/171.81 (~P3(f13(a2),f13(f13(f5(f13(f9(x58921)),f9(x58922)))))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5494,5357,2384,48,5808,107,91,108,89,2,96,114,112])).
% 171.69/171.81 cnf(5894,plain,
% 171.69/171.81 (~P3(f11(a8,a4,f5(a4,f14(a8,a4))),f13(f5(f13(f7(f13(a1))),f9(x58941))))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5494,5754,5357,2384,48,5808,107,91,108,89,2,96,114,112,111])).
% 171.69/171.81 cnf(5896,plain,
% 171.69/171.81 (P11(f5(f13(f7(f13(a1))),f9(x58961)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5494,5699,5754,5357,2384,48,5808,5888,107,91,108,89,2,96,114,112,111,98])).
% 171.69/171.81 cnf(5897,plain,
% 171.69/171.81 (P3(f5(f13(f7(f13(a1))),f9(x58971)),f13(x58972))),
% 171.69/171.81 inference(rename_variables,[],[5808])).
% 171.69/171.81 cnf(5902,plain,
% 171.69/171.81 (P7(f14(a3,f14(a3,f14(a3,f12(a3)))),f13(f12(a3)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5657,5494,5699,5754,5357,2384,48,5808,5888,2115,57,107,91,108,89,2,96,114,112,111,98,110,90])).
% 171.69/171.81 cnf(5905,plain,
% 171.69/171.81 (~E(f5(f13(f7(f13(a1))),f9(x59051)),f5(f13(a2),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5657,5494,5699,5754,5357,2384,48,5808,5888,5897,2115,57,107,91,108,89,2,96,114,112,111,98,110,90,25])).
% 171.69/171.81 cnf(5906,plain,
% 171.69/171.81 (P3(f5(f13(f7(f13(a1))),f9(x59061)),f13(x59062))),
% 171.69/171.81 inference(rename_variables,[],[5808])).
% 171.69/171.81 cnf(5913,plain,
% 171.69/171.81 (P7(x59131,f13(x59131))),
% 171.69/171.81 inference(rename_variables,[],[2051])).
% 171.69/171.81 cnf(5915,plain,
% 171.69/171.81 (P7(f14(f11(x59151,x59152,f5(x59153,a1)),f5(x59154,a1)),f13(f14(f11(x59151,x59152,f5(x59153,f9(x59155))),f5(x59154,f9(x59156)))))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5657,5715,5821,5494,5699,3584,4504,5754,5357,2384,2386,48,2051,5913,5808,5888,5897,5767,5548,2115,57,107,91,108,89,2,96,114,112,111,98,110,90,25,20,3,18,26,17])).
% 171.69/171.81 cnf(5917,plain,
% 171.69/171.81 (P9(f11(f5(f5(x59171,f9(x59172)),x59173),f9(x59174),f5(x59175,a1)),f11(f5(f5(x59171,a1),x59173),a1,f5(x59175,f9(x59176))))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5657,5715,5821,5494,5699,3584,4504,5516,5754,5357,2384,2386,48,2051,5913,5849,5808,5888,5897,5767,5548,2115,57,107,91,108,89,2,96,114,112,111,98,110,90,25,20,3,18,26,17,21])).
% 171.69/171.81 cnf(5920,plain,
% 171.69/171.81 (P16(f5(f13(f7(f13(a1))),f9(x59201)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5657,5715,5821,5494,5699,3584,4504,5516,5754,5357,2384,2386,48,2051,5913,5849,5808,5888,5897,5906,5767,5548,2115,57,107,91,108,89,2,96,114,112,111,98,110,90,25,20,3,18,26,17,21,105])).
% 171.69/171.81 cnf(5921,plain,
% 171.69/171.81 (P3(f5(f13(f7(f13(a1))),f9(x59211)),f13(x59212))),
% 171.69/171.81 inference(rename_variables,[],[5808])).
% 171.69/171.81 cnf(5928,plain,
% 171.69/171.81 (P17(f5(f13(f7(f13(a1))),f9(x59281)))),
% 171.69/171.81 inference(scs_inference,[],[5773,5749,5823,5836,5657,5715,5821,5494,5699,3584,4504,5516,5754,5357,2296,2384,2386,48,2051,5913,5849,5808,5888,5897,5906,5921,5767,5548,2115,57,53,107,91,108,89,2,96,114,112,111,98,110,90,25,20,3,18,26,17,21,105,75,86,106])).
% 171.69/171.81 cnf(5953,plain,
% 171.69/171.81 (E(f11(x59531,x59532,f5(f5(x59533,a1),x59534)),f11(x59531,x59532,f5(f5(x59533,f9(x59535)),x59534)))),
% 171.69/171.81 inference(scs_inference,[],[5917,5804,5239,5850,107,108,91,89,2])).
% 171.69/171.81 cnf(5957,plain,
% 171.69/171.81 (P3(f7(x59571),x59571)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5961,plain,
% 171.69/171.81 (P10(f7(f5(f13(f7(f13(a1))),f9(x59611))))),
% 171.69/171.81 inference(scs_inference,[],[5928,5917,5804,5239,5747,5628,5850,44,46,53,5957,107,108,91,89,2,88,83,81,87])).
% 171.69/171.81 cnf(5962,plain,
% 171.69/171.81 (P3(f7(x59621),x59621)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(5964,plain,
% 171.69/171.81 (P3(f7(f11(a8,a4,f5(a4,f14(a8,a4)))),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[5928,5917,5804,5239,5747,5628,4312,5823,5850,44,46,53,5957,107,108,91,89,2,88,83,81,87,112])).
% 171.69/171.81 cnf(5969,plain,
% 171.69/171.81 (~P3(f13(f5(f13(f12(a8)),f13(a1))),f5(f13(f12(a8)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5928,5917,5804,5635,5239,5747,5628,4312,5823,2051,5850,1538,44,46,2115,53,5957,107,108,91,89,2,88,83,81,87,112,110,90])).
% 171.69/171.81 cnf(5970,plain,
% 171.69/171.81 (~P7(f13(x59701),x59701)),
% 171.69/171.81 inference(rename_variables,[],[2115])).
% 171.69/171.81 cnf(5972,plain,
% 171.69/171.81 (P3(f11(f9(x59721),f5(f5(x59722,a1),x59723),f5(x59724,a1)),f13(f11(a1,f5(f5(x59722,f9(x59725)),x59723),f5(x59724,f9(x59726)))))),
% 171.69/171.81 inference(scs_inference,[],[5928,5917,5804,5635,5239,5747,5628,4312,5823,5522,2051,5850,5857,1538,44,46,2115,53,5957,107,108,91,89,2,88,83,81,87,112,110,90,25])).
% 171.69/171.81 cnf(5973,plain,
% 171.69/171.81 (E(f11(x59731,f5(f5(x59732,f9(x59733)),x59734),x59735),f11(x59731,f5(f5(x59732,a1),x59734),x59735))),
% 171.69/171.81 inference(rename_variables,[],[5857])).
% 171.69/171.81 cnf(5978,plain,
% 171.69/171.81 (P9(f11(f9(x59781),x59782,f5(f5(x59783,a1),a1)),f11(a1,x59782,f5(f5(x59783,f9(x59784)),f9(x59785))))),
% 171.69/171.81 inference(scs_inference,[],[5928,5740,5917,5804,5635,5239,5747,5628,4312,5823,5522,2051,5850,5857,5973,2048,1538,44,46,2115,53,5957,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20])).
% 171.69/171.81 cnf(5979,plain,
% 171.69/171.81 (E(f11(x59791,x59792,f5(f5(x59793,f9(x59794)),x59795)),f11(x59791,x59792,f5(f5(x59793,a1),x59795)))),
% 171.69/171.81 inference(rename_variables,[],[5850])).
% 171.69/171.81 cnf(5980,plain,
% 171.69/171.81 (P9(f11(f9(x59801),x59802,f5(x59803,a1)),f11(a1,x59802,f5(x59803,f9(x59804))))),
% 171.69/171.81 inference(rename_variables,[],[5740])).
% 171.69/171.81 cnf(5981,plain,
% 171.69/171.81 (E(f7(f5(f5(x59811,f9(x59812)),f9(x59813))),f7(f5(f5(x59811,a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[5928,5740,5917,5804,5635,5239,5747,5628,4312,5823,5522,2051,5850,5857,5973,5856,4235,2048,1538,44,46,2115,53,5957,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20,3])).
% 171.69/171.81 cnf(5989,plain,
% 171.69/171.81 (P16(f5(f13(f7(f13(a1))),a1))),
% 171.69/171.81 inference(scs_inference,[],[5920,5928,5740,5917,5804,5635,5239,5770,5747,5628,4312,5823,5522,2051,5850,5857,5973,5853,5856,4235,2048,1538,44,46,2115,5970,182,53,5957,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20,3,26,17,24])).
% 171.69/171.81 cnf(5990,plain,
% 171.69/171.81 (E(f5(x59901,f9(x59902)),f5(x59901,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(5992,plain,
% 171.69/171.81 (E(f5(x59921,f9(x59922)),f5(x59921,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(5995,plain,
% 171.69/171.81 (P9(f11(f9(x59951),x59952,f5(f5(x59953,f9(x59954)),a1)),f11(a1,x59952,f5(f5(x59953,a1),f9(x59955))))),
% 171.69/171.81 inference(scs_inference,[],[5896,5920,5928,5740,5980,5917,5804,5635,5239,5770,5747,5628,4312,5823,5522,2051,5850,5979,5857,5973,5853,5856,4235,2048,1538,44,46,2115,5970,182,5990,5992,53,5957,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20,3,26,17,24,19,23,21])).
% 171.69/171.81 cnf(5999,plain,
% 171.69/171.81 (P3(f7(x59991),x59991)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6003,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f7(f13(a1))),f9(x60031))),f9(x60032)))),
% 171.69/171.81 inference(scs_inference,[],[54,5896,5920,5928,5740,5980,5917,5804,5635,5239,5770,5747,5628,4312,5823,5522,2051,5850,5979,5857,5973,5853,5856,4235,2048,1538,825,44,46,2115,5970,182,5990,5992,53,5957,5962,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20,3,26,17,24,19,23,21,75,92,103])).
% 171.69/171.81 cnf(6004,plain,
% 171.69/171.81 (P3(f5(f13(x60041),f9(x60042)),f13(x60041))),
% 171.69/171.81 inference(rename_variables,[],[825])).
% 171.69/171.81 cnf(6007,plain,
% 171.69/171.81 (P3(f7(x60071),x60071)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6010,plain,
% 171.69/171.81 (P3(f7(x60101),x60101)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6020,plain,
% 171.69/171.81 (P13(f5(f5(f13(a2),f13(a1)),f5(f13(a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[54,5896,5920,5928,5740,5980,5917,5804,5635,5239,5770,5747,5628,4312,5823,5522,2646,2051,5850,5979,5857,5973,5853,5856,4235,2048,1538,4260,5693,825,6004,44,46,2115,5970,182,5990,5992,53,5957,5962,5999,6007,6010,107,108,91,89,2,88,83,81,87,112,110,90,25,18,20,3,26,17,24,19,23,21,75,92,103,82,77,78,84,93,85])).
% 171.69/171.81 cnf(6037,plain,
% 171.69/171.81 (P9(f11(f9(x60371),f5(f5(x60372,a1),x60373),f5(x60374,a1)),f11(a1,f5(f5(x60372,f9(x60375)),x60373),f5(x60374,f9(x60376))))),
% 171.69/171.81 inference(scs_inference,[],[5894,5972,5902,107,91,108])).
% 171.69/171.81 cnf(6043,plain,
% 171.69/171.81 (P3(f7(x60431),x60431)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6046,plain,
% 171.69/171.81 (P3(f7(x60461),x60461)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6048,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f5(f13(f7(f13(a1))),f9(x60481))),f9(x60482))),f9(x60483)))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5902,825,53,6043,107,91,108,89,2,83,76,101])).
% 171.69/171.81 cnf(6052,plain,
% 171.69/171.81 (P3(f5(f13(x60521),a1),f13(x60521))),
% 171.69/171.81 inference(rename_variables,[],[1481])).
% 171.69/171.81 cnf(6055,plain,
% 171.69/171.81 (P3(f5(f13(x60551),a1),f13(x60551))),
% 171.69/171.81 inference(rename_variables,[],[1481])).
% 171.69/171.81 cnf(6057,plain,
% 171.69/171.81 (~P7(f13(a4),f10(f5(f13(a4),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5902,5920,4774,1064,5841,1481,6052,825,53,6043,107,91,108,89,2,83,76,101,95,100,112])).
% 171.69/171.81 cnf(6059,plain,
% 171.69/171.81 (P7(f7(f11(a8,a4,f5(a4,f14(a8,a4)))),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5605,5902,5920,4774,1064,5823,5841,1481,6052,825,53,6043,107,91,108,89,2,83,76,101,95,100,112,110])).
% 171.69/171.81 cnf(6061,plain,
% 171.69/171.81 (~P3(f13(f10(a2)),f10(f10(f10(a2))))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5605,5902,5821,5920,4774,1064,5823,5841,4227,1481,6052,825,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90])).
% 171.69/171.81 cnf(6063,plain,
% 171.69/171.81 (~E(f7(f11(a8,a4,f5(a4,f14(a8,a4)))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5605,5964,5902,5821,5920,4774,1064,5823,2396,5841,4227,1481,6052,825,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90,25])).
% 171.69/171.81 cnf(6071,plain,
% 171.69/171.81 (P3(f11(f9(x60711),f5(f5(x60712,a1),x60713),f5(x60714,a1)),f13(f11(a1,f5(f5(x60712,f9(x60715)),x60713),f5(x60714,a1))))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5410,5605,5964,5902,5821,5920,4774,1064,4269,5823,2396,5841,5649,5528,5566,4367,4227,1481,6052,825,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26])).
% 171.69/171.81 cnf(6077,plain,
% 171.69/171.81 (~P9(f5(f13(f13(x60771)),f13(a1)),f5(f13(f9(x60772)),f9(x60773)))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5410,5605,5964,5902,5821,4308,2847,5920,4774,1064,4269,5823,2396,5841,5649,5528,5566,4367,2212,4227,1481,6052,825,453,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21])).
% 171.69/171.81 cnf(6081,plain,
% 171.69/171.81 (~P7(f5(f13(a4),f5(a4,f9(x60811))),f5(a4,f9(x60811)))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5972,5410,5605,5964,5902,5156,5821,4308,2847,5920,4774,1064,4269,4278,5823,2396,5841,5649,5528,5566,4367,2212,4227,1481,6052,825,453,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21,60,113])).
% 171.69/171.81 cnf(6086,plain,
% 171.69/171.81 (P17(f5(f13(f5(f13(f9(x60861)),f9(x60862))),a1))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5961,5972,5410,5605,5964,5902,5156,5821,4308,2847,5920,4774,1064,4269,4278,5823,2396,5841,5649,5528,5566,4235,4367,2212,4227,1481,6052,6055,825,453,2115,53,6043,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21,60,113,1805,35,106])).
% 171.69/171.81 cnf(6092,plain,
% 171.69/171.81 (P1(f5(f13(f5(f13(f9(x60921)),f9(x60922))),f9(x60923)))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5961,5972,5410,5605,5964,5902,5156,5821,4308,2847,5920,4774,1064,4269,4278,5823,2396,2800,5841,5649,5528,5566,4235,4367,2212,4227,1481,6052,6055,825,453,2115,53,6043,6046,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21,60,113,1805,35,106,78,93])).
% 171.69/171.81 cnf(6095,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f7(f13(a1))),f9(x60951))),a1))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5961,5972,5410,5605,5964,5902,5156,5821,4308,2847,5920,4774,1064,4269,4278,5823,2396,2800,5841,5649,5528,5566,4235,4367,2212,4227,1481,6052,6055,825,453,2115,182,53,6043,6046,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21,60,113,1805,35,106,78,93,22])).
% 171.69/171.81 cnf(6097,plain,
% 171.69/171.81 (P16(f5(f13(f5(f13(f9(x60971)),f9(x60972))),a1))),
% 171.69/171.81 inference(scs_inference,[],[5647,6003,5894,5961,5972,5410,5605,5964,5902,5156,5821,4308,2847,5920,4774,1064,4269,4278,5823,2396,2800,5841,5649,5528,5566,4235,4367,2212,4227,1481,6052,6055,825,453,2115,182,53,6043,6046,107,91,108,89,2,83,76,101,95,100,112,110,90,25,18,20,3,26,17,19,21,60,113,1805,35,106,78,93,22,66])).
% 171.69/171.81 cnf(6107,plain,
% 171.69/171.81 (~P3(f5(f13(f13(x61071)),f13(a1)),f13(f5(f13(f9(x61072)),f9(x61073))))),
% 171.69/171.81 inference(scs_inference,[],[6077,5978,6059,107,91,108])).
% 171.69/171.81 cnf(6112,plain,
% 171.69/171.81 (~P2(f5(f13(f10(a2)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6077,5978,5715,5854,6059,5915,5531,107,91,108,89,2,70])).
% 171.69/171.81 cnf(6115,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f9(x61151)),f9(x61152))),f9(x61153)))),
% 171.69/171.81 inference(scs_inference,[],[6077,5978,6086,5715,2800,5854,6059,5915,5531,107,91,108,89,2,70,103])).
% 171.69/171.81 cnf(6116,plain,
% 171.69/171.81 (P3(f5(x61161,f9(x61162)),f13(f5(x61161,a1)))),
% 171.69/171.81 inference(rename_variables,[],[2800])).
% 171.69/171.81 cnf(6118,plain,
% 171.69/171.81 (P16(f5(f13(f5(f13(f9(x61181)),f9(x61182))),f9(x61183)))),
% 171.69/171.81 inference(scs_inference,[],[6077,5978,6086,5715,2800,6116,5854,6059,6097,5915,5531,107,91,108,89,2,70,103,104])).
% 171.69/171.81 cnf(6119,plain,
% 171.69/171.81 (P3(f5(x61191,f9(x61192)),f13(f5(x61191,a1)))),
% 171.69/171.81 inference(rename_variables,[],[2800])).
% 171.69/171.81 cnf(6122,plain,
% 171.69/171.81 (P3(f7(x61221),x61221)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6124,plain,
% 171.69/171.81 (P11(f7(f13(f7(f13(a1)))))),
% 171.69/171.81 inference(scs_inference,[],[6092,6077,5978,6086,5715,137,2800,6116,5854,6059,6097,5915,5531,53,6122,107,91,108,89,2,70,103,104,74,99])).
% 171.69/171.81 cnf(6125,plain,
% 171.69/171.81 (P3(f7(x61251),x61251)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6127,plain,
% 171.69/171.81 (~P3(f13(a2),f13(f13(f7(f13(a1)))))),
% 171.69/171.81 inference(scs_inference,[],[6092,6077,5691,5978,6086,5715,137,2384,2800,6116,5854,6059,6097,5915,5531,53,6122,107,91,108,89,2,70,103,104,74,99,112])).
% 171.69/171.81 cnf(6132,plain,
% 171.69/171.81 (P7(f11(f9(x61321),f5(f5(x61322,a1),x61323),f5(x61324,a1)),f13(f11(a1,f5(f5(x61322,f9(x61325)),x61323),f5(x61324,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,6077,5691,6071,6037,5978,6086,5715,137,2384,2800,6116,5854,6059,6097,5915,5531,2115,57,53,6122,107,91,108,89,2,70,103,104,74,99,112,110,90])).
% 171.69/171.81 cnf(6135,plain,
% 171.69/171.81 (~E(f7(f5(f13(f12(a8)),f13(a1))),f13(f5(f13(f12(a8)),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6077,5691,6071,6037,5978,6086,5715,137,2384,2800,6116,5854,6059,6097,5915,5531,2115,57,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25])).
% 171.69/171.81 cnf(6145,plain,
% 171.69/171.81 (P7(f7(f5(f5(x61451,a1),a1)),f13(f7(f5(f5(x61451,f9(x61452)),f9(x61453)))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6077,5691,6071,6037,5978,6081,6086,1788,4659,5715,5600,137,2384,2800,6116,2386,2051,5854,5981,6059,6097,5915,5531,2665,3910,2115,57,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17])).
% 171.69/171.81 cnf(6153,plain,
% 171.69/171.81 (E(f5(x61531,f9(x61532)),f5(x61531,a1))),
% 171.69/171.81 inference(rename_variables,[],[182])).
% 171.69/171.81 cnf(6154,plain,
% 171.69/171.81 (P3(f10(f5(f13(a2),f13(a1))),f13(f5(f13(a2),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5814,5854,5981,6059,6097,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73])).
% 171.69/171.81 cnf(6156,plain,
% 171.69/171.81 (~P2(f10(f10(f11(a8,a4,f5(a4,f14(a8,a4))))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71])).
% 171.69/171.81 cnf(6160,plain,
% 171.69/171.81 (E(f5(x61601,f10(f5(x61602,f9(x61603)))),f5(x61601,f10(f5(x61602,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14])).
% 171.69/171.81 cnf(6161,plain,
% 171.69/171.81 (E(f11(f10(f5(x61611,f9(x61612))),x61613,x61614),f11(f10(f5(x61611,a1)),x61613,x61614))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8])).
% 171.69/171.81 cnf(6162,plain,
% 171.69/171.81 (E(f14(x61621,f10(f5(x61622,f9(x61623)))),f14(x61621,f10(f5(x61622,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12])).
% 171.69/171.81 cnf(6163,plain,
% 171.69/171.81 (E(f7(f10(f5(x61631,f9(x61632)))),f7(f10(f5(x61631,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5])).
% 171.69/171.81 cnf(6164,plain,
% 171.69/171.81 (E(f11(x61641,x61642,f10(f5(x61643,f9(x61644)))),f11(x61641,x61642,f10(f5(x61643,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10])).
% 171.69/171.81 cnf(6165,plain,
% 171.69/171.81 (E(f11(x61651,f10(f5(x61652,f9(x61653))),x61654),f11(x61651,f10(f5(x61652,a1)),x61654))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9])).
% 171.69/171.81 cnf(6166,plain,
% 171.69/171.81 (E(f14(f10(f5(x61661,f9(x61662))),x61663),f14(f10(f5(x61661,a1)),x61663))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9,11])).
% 171.69/171.81 cnf(6169,plain,
% 171.69/171.81 (P7(f5(f5(f13(f13(x61691)),f13(a1)),f5(f13(f9(x61692)),f9(x61693))),f5(f13(f13(x61691)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9,11,6,15,109])).
% 171.69/171.81 cnf(6171,plain,
% 171.69/171.81 (E(f5(f10(f5(x61711,f9(x61712))),x61713),f5(f10(f5(x61711,a1)),x61713))),
% 171.69/171.81 inference(scs_inference,[],[6092,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,2386,2051,5845,5814,5854,5981,6059,6097,4240,5915,5531,2665,2614,3910,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9,11,6,15,109,13])).
% 171.69/171.81 cnf(6175,plain,
% 171.69/171.81 (P11(f5(f13(f5(f13(f7(f13(a1))),f9(x61751))),f9(x61752)))),
% 171.69/171.81 inference(scs_inference,[],[6092,6020,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,2384,2800,6116,6119,2386,2051,5845,5814,5854,5981,6059,6097,6095,4240,5915,5531,2665,2614,3910,4235,453,2115,57,182,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9,11,6,15,109,13,7,34,32,98])).
% 171.69/171.81 cnf(6178,plain,
% 171.69/171.81 (P2(f5(f13(f7(f13(a1))),a1))),
% 171.69/171.81 inference(scs_inference,[],[6092,6020,5969,6048,6077,5691,6071,6037,5978,6081,6086,1788,4659,5410,5715,5600,137,5754,2384,2800,6116,6119,2386,2051,5845,5814,5854,5981,6059,6097,6095,4240,5915,5531,2665,2614,3910,4235,453,2115,57,182,6153,53,6122,6125,107,91,108,89,2,70,103,104,74,99,112,110,90,25,18,3,20,26,17,23,21,16,73,71,62,14,8,12,5,10,9,11,6,15,109,13,7,34,32,98,29])).
% 171.69/171.81 cnf(6194,plain,
% 171.69/171.81 (P9(f14(a3,f14(a3,f12(a3))),f12(a3))),
% 171.69/171.81 inference(scs_inference,[],[6169,4342,107,108])).
% 171.69/171.81 cnf(6203,plain,
% 171.69/171.81 (P11(f10(f5(f13(a2),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[5645,6169,6107,5892,4342,2453,2432,6154,107,108,91,89,2,92,97])).
% 171.69/171.81 cnf(6206,plain,
% 171.69/171.81 (P3(f7(x62061),x62061)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6208,plain,
% 171.69/171.81 (P3(f5(f5(f13(f13(x62081)),f13(a1)),f5(f13(f9(x62082)),f9(x62083))),f5(f13(f13(x62081)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[5645,6175,6169,6107,5892,4342,2453,2432,6154,53,177,107,108,91,89,2,92,97,79,112])).
% 171.69/171.81 cnf(6214,plain,
% 171.69/171.81 (~P3(f5(f13(f13(a1)),f13(f9(x62141))),f13(f9(x62141)))),
% 171.69/171.81 inference(scs_inference,[],[5645,6175,6169,6107,5892,6057,4342,4231,2453,2432,2051,6154,57,53,177,107,108,91,89,2,92,97,79,112,110,90])).
% 171.69/171.81 cnf(6218,plain,
% 171.69/171.81 (P3(f11(f9(x62181),f10(f5(x62182,a1)),f5(x62183,a1)),f13(f11(a1,f10(f5(x62182,f9(x62184))),f5(x62183,f9(x62185)))))),
% 171.69/171.81 inference(scs_inference,[],[5645,6175,6169,6107,5892,6057,4342,4231,5522,2453,2432,261,2051,6156,6154,6165,57,53,177,107,108,91,89,2,92,97,79,112,110,90,29,25])).
% 171.69/171.81 cnf(6231,plain,
% 171.69/171.81 (E(f11(x62311,x62312,f5(f5(x62313,a1),x62314)),f11(x62311,x62312,f5(f5(x62313,f9(x62315)),x62314)))),
% 171.69/171.81 inference(rename_variables,[],[5953])).
% 171.69/171.81 cnf(6242,plain,
% 171.69/171.81 (P15(f10(f5(f13(a2),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[5645,6175,6169,6107,5826,5995,5892,6057,4342,4231,5410,5522,2453,2432,261,2430,2051,6156,6154,5953,6231,5855,5861,6165,5858,5989,4241,2924,2115,57,53,177,107,108,91,89,2,92,97,79,112,110,90,29,25,18,3,20,26,17,21,64,105,101])).
% 171.69/171.81 cnf(6249,plain,
% 171.69/171.81 (P15(f5(f13(f5(f13(f5(f13(f9(x62491)),f9(x62492))),f9(x62493))),a1))),
% 171.69/171.81 inference(scs_inference,[],[6115,6118,5645,6175,6169,6107,5826,5995,5892,6057,4342,4231,5410,5522,5747,2453,2432,261,2430,2051,6156,6154,5953,6231,5855,5861,6165,5858,5989,4241,2924,1481,46,2115,57,53,6206,177,107,108,91,89,2,92,97,79,112,110,90,29,25,18,3,20,26,17,21,64,105,101,80,87,102])).
% 171.69/171.81 cnf(6258,plain,
% 171.69/171.81 (~P3(f10(a2),f13(f5(f13(a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6132,4481,107,108])).
% 171.69/171.81 cnf(6264,plain,
% 171.69/171.81 (E(f11(f10(f5(x62641,a1)),x62642,x62643),f11(f10(f5(x62641,f9(x62644))),x62642,x62643))),
% 171.69/171.81 inference(scs_inference,[],[4167,6132,4481,6161,6145,107,108,91,89,2])).
% 171.69/171.81 cnf(6265,plain,
% 171.69/171.81 (P11(f5(f13(f10(f5(f13(a2),f13(a1)))),f9(x62651)))),
% 171.69/171.81 inference(scs_inference,[],[6203,4167,6132,4481,6161,6145,825,107,108,91,89,2,97])).
% 171.69/171.81 cnf(6268,plain,
% 171.69/171.81 (~P7(f13(a2),f10(f5(f13(a2),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6203,4167,6132,4481,2651,6161,6145,6154,825,107,108,91,89,2,97,112])).
% 171.69/171.81 cnf(6272,plain,
% 171.69/171.81 (P7(f7(f5(f13(f10(a2)),f13(a1))),f5(f13(f10(a2)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6203,4167,6132,4481,2651,3846,5567,6112,6161,6145,6154,825,53,107,108,91,89,2,97,112,110,90])).
% 171.69/171.81 cnf(6273,plain,
% 171.69/171.81 (P3(f7(x62731),x62731)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6276,plain,
% 171.69/171.81 (P3(f5(f5(f13(f13(x62761)),f13(a1)),f5(f13(f9(x62762)),a1)),f5(f13(f13(x62761)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6203,6208,4167,6132,4481,2651,3846,5567,5754,6112,6161,6145,6154,4239,825,53,107,108,91,89,2,97,112,110,90,29,25])).
% 171.69/171.81 cnf(6277,plain,
% 171.69/171.81 (P3(f5(f5(f13(f13(x62771)),f13(a1)),f5(f13(f9(x62772)),f9(x62773))),f5(f13(f13(x62771)),f13(a1)))),
% 171.69/171.81 inference(rename_variables,[],[6208])).
% 171.69/171.81 cnf(6278,plain,
% 171.69/171.81 (E(f5(x62781,f5(x62782,f9(x62783))),f5(x62781,f5(x62782,a1)))),
% 171.69/171.81 inference(rename_variables,[],[4239])).
% 171.69/171.81 cnf(6284,plain,
% 171.69/171.81 (P3(f11(f9(x62841),f10(f5(x62842,a1)),f5(x62843,a1)),f13(f11(a1,f10(f5(x62842,f9(x62844))),f5(x62843,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6203,6208,6218,4167,6132,3208,4481,2651,3846,5707,5567,5754,6112,6161,6145,5776,5566,4367,6154,4239,825,53,107,108,91,89,2,97,112,110,90,29,25,18,20,3,26])).
% 171.69/171.81 cnf(6291,plain,
% 171.69/171.81 (~P9(f5(f13(f12(a8)),f13(a1)),f5(f13(a1),f9(x62911)))),
% 171.69/171.81 inference(scs_inference,[],[6203,6208,6218,4167,6249,6132,3208,4481,2651,3846,1862,1764,5707,5567,5754,6112,6161,6145,5776,5566,2310,4367,6154,4239,6278,825,453,53,107,108,91,89,2,97,112,110,90,29,25,18,20,3,26,22,17,21])).
% 171.69/171.81 cnf(6295,plain,
% 171.69/171.81 (P10(f7(f5(f13(f5(f13(f9(x62951)),f9(x62952))),f9(x62953))))),
% 171.69/171.81 inference(scs_inference,[],[6203,6208,6277,6218,4167,6249,6132,3208,4481,2651,3846,6118,1862,1764,5707,5567,5754,6112,6161,6145,5776,5566,2310,4367,6154,4239,6278,825,453,53,6273,107,108,91,89,2,97,112,110,90,29,25,18,20,3,26,22,17,21,75,86])).
% 171.69/171.81 cnf(6315,plain,
% 171.69/171.81 (P9(f11(f9(x63151),f10(f5(x63152,a1)),f5(x63153,a1)),f11(a1,f10(f5(x63152,f9(x63154))),f5(x63153,a1)))),
% 171.69/171.81 inference(scs_inference,[],[6272,6284,107,108])).
% 171.69/171.81 cnf(6327,plain,
% 171.69/171.81 (~P7(x63271,f5(f13(f5(f13(f7(f13(a1))),f9(x63272))),a1))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,6284,5754,2646,5693,1481,53,107,108,91,89,2,88,79,111])).
% 171.69/171.81 cnf(6330,plain,
% 171.69/171.81 (~P3(f13(f5(f13(f13(a1)),f13(f9(x63301)))),f13(f13(f9(x63301))))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,6284,5754,2646,2051,5693,1481,53,107,108,91,89,2,88,79,111,112])).
% 171.69/171.81 cnf(6331,plain,
% 171.69/171.81 (P7(x63311,f13(x63311))),
% 171.69/171.81 inference(rename_variables,[],[2051])).
% 171.69/171.81 cnf(6336,plain,
% 171.69/171.81 (P7(f5(f5(f13(f13(x63361)),f13(a1)),f5(f13(f9(x63362)),a1)),f5(f13(f13(x63361)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,6276,6284,6194,5754,2646,2051,2778,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90])).
% 171.69/171.81 cnf(6339,plain,
% 171.69/171.81 (~E(f5(f13(f7(f13(a1))),f9(x63391)),f5(f13(f13(a1)),f13(f9(x63392))))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,6276,6284,6194,5754,2646,2051,5808,2778,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25])).
% 171.69/171.81 cnf(6344,plain,
% 171.69/171.81 (~E(f5(f13(a1),a1),f5(f13(f12(a8)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,5414,6291,6276,6284,6194,6268,4504,5754,2646,2051,6331,5808,2778,3347,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25,18,3,20])).
% 171.69/171.81 cnf(6349,plain,
% 171.69/171.81 (P7(f11(f10(f5(x63491,f9(x63492))),f9(x63493),f9(x63494)),f13(f11(f10(f5(x63491,a1)),a1,a1)))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,5414,6291,6276,6284,6194,6268,3839,4504,5754,2646,2051,6331,6264,5808,4319,2778,3347,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25,18,3,20,26,17])).
% 171.69/171.81 cnf(6352,plain,
% 171.69/171.81 (P9(f11(f9(x63521),f9(x63522),f10(f5(x63523,f9(x63524)))),f11(a1,a1,f10(f5(x63523,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,5414,6291,6276,6284,6194,6268,3839,4504,581,5754,2646,2051,6331,6164,6264,5808,4319,2778,3347,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25,18,3,20,26,17,21])).
% 171.69/171.81 cnf(6357,plain,
% 171.69/171.81 (P9(f5(f13(f5(f13(f7(f13(a1))),f9(x63571))),a1),x63572)),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,5414,6291,6276,6284,6194,6268,3839,4504,581,5754,2646,2051,6331,6164,6264,5808,4319,2778,3347,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25,18,3,20,26,17,21,60,109])).
% 171.69/171.81 cnf(6359,plain,
% 171.69/171.81 (~P7(f5(f13(a2),f5(f10(a2),f9(x63591))),f5(f10(a2),f9(x63591)))),
% 171.69/171.81 inference(scs_inference,[],[6258,5425,6272,6265,6214,5414,6291,6276,6284,6194,6268,3673,3839,4504,581,5754,2646,2051,6331,6164,6264,5808,4319,2778,3347,5693,1481,2115,53,107,108,91,89,2,88,79,111,112,110,90,25,18,3,20,26,17,21,60,109,113])).
% 171.69/171.81 cnf(6369,plain,
% 171.69/171.81 (P7(f5(a4,f5(f13(a1),a1)),a4)),
% 171.69/171.81 inference(scs_inference,[],[4562,109])).
% 171.69/171.81 cnf(6373,plain,
% 171.69/171.81 (~P3(a4,f13(f5(f13(a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6336,4562,109,107,108])).
% 171.69/171.81 cnf(6375,plain,
% 171.69/171.81 (P3(f5(f13(f5(f13(f7(f13(a1))),f9(x63751))),a1),f13(x63752))),
% 171.69/171.81 inference(scs_inference,[],[6336,6357,4562,109,107,108,91])).
% 171.69/171.81 cnf(6379,plain,
% 171.69/171.81 (E(f10(f5(f5(x63791,a1),x63792)),f10(f5(f5(x63791,f9(x63793)),x63792)))),
% 171.69/171.81 inference(scs_inference,[],[6336,6357,4562,5859,6349,109,107,108,91,89,2])).
% 171.69/171.81 cnf(6380,plain,
% 171.69/171.81 (P15(f5(f13(f7(f13(a2))),f9(x63801)))),
% 171.69/171.81 inference(scs_inference,[],[6336,6357,4562,304,5859,6349,825,109,107,108,91,89,2,103])).
% 171.69/171.81 cnf(6384,plain,
% 171.69/171.81 (P3(f7(x63841),x63841)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6386,plain,
% 171.69/171.81 (~P3(f5(f13(f13(x63861)),f13(a1)),f13(f5(f13(f7(f13(a1))),f9(x63862))))),
% 171.69/171.81 inference(scs_inference,[],[6336,6357,4562,6242,304,5754,5859,6349,825,53,109,107,108,91,89,2,103,83,111])).
% 171.69/171.81 cnf(6390,plain,
% 171.69/171.81 (P3(f5(f5(f13(a2),f13(a1)),f5(f13(a1),a1)),a2)),
% 171.69/171.81 inference(scs_inference,[],[6336,6357,5617,4562,6242,304,5567,5754,2386,5859,6349,825,53,109,107,108,91,89,2,103,83,111,98,112])).
% 171.69/171.81 cnf(6395,plain,
% 171.69/171.81 (~P3(f13(f5(f13(f10(a2)),f13(a1))),f5(f13(f10(a2)),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,5617,4562,6242,304,5567,5754,2386,2051,5859,6349,6112,825,2115,53,109,107,108,91,89,2,103,83,111,98,112,110,90])).
% 171.69/171.81 cnf(6396,plain,
% 171.69/171.81 (~P7(f13(x63961),x63961)),
% 171.69/171.81 inference(rename_variables,[],[2115])).
% 171.69/171.81 cnf(6399,plain,
% 171.69/171.81 (P3(f7(x63991),x63991)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6401,plain,
% 171.69/171.81 (E(f14(f10(f5(x64011,f9(x64012))),x64013),f14(f10(f5(x64011,a1)),x64013))),
% 171.69/171.81 inference(rename_variables,[],[6166])).
% 171.69/171.81 cnf(6403,plain,
% 171.69/171.81 (E(f10(f5(f5(x64031,f9(x64032)),f9(x64033))),f10(f5(f5(x64031,a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,5617,4562,6242,304,5567,5754,2386,2051,5859,6166,6163,6349,2774,6112,825,4240,2115,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3])).
% 171.69/171.81 cnf(6404,plain,
% 171.69/171.81 (E(f10(f5(f5(x64041,f9(x64042)),x64043)),f10(f5(f5(x64041,a1),x64043)))),
% 171.69/171.81 inference(rename_variables,[],[5859])).
% 171.69/171.81 cnf(6406,plain,
% 171.69/171.81 (P9(f10(f5(f5(x64061,a1),x64062)),f10(f5(f5(x64061,f9(x64063)),x64062)))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,5617,4562,6242,304,5567,5754,2386,2051,5859,6404,6166,6163,6349,2774,6112,825,4240,2115,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20])).
% 171.69/171.81 cnf(6417,plain,
% 171.69/171.81 (P3(f10(f5(f13(f10(a2)),f13(a1))),f13(f5(f13(f10(a2)),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,6349,6178,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73])).
% 171.69/171.81 cnf(6423,plain,
% 171.69/171.81 (E(f5(f13(f7(f13(a1))),a1),a1)),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59])).
% 171.69/171.81 cnf(6425,plain,
% 171.69/171.81 (E(f14(x64251,f11(f9(x64252),x64253,f9(x64254))),f14(x64251,f11(f9(x64255),x64253,f9(x64256))))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12])).
% 171.69/171.81 cnf(6426,plain,
% 171.69/171.81 (E(f5(x64261,f11(f9(x64262),x64263,f9(x64264))),f5(x64261,f11(f9(x64265),x64263,f9(x64266))))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14])).
% 171.69/171.81 cnf(6427,plain,
% 171.69/171.81 (E(f11(f11(f9(x64271),x64272,f9(x64273)),x64274,x64275),f11(f11(f9(x64276),x64272,f9(x64277)),x64274,x64275))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8])).
% 171.69/171.81 cnf(6428,plain,
% 171.69/171.81 (E(f11(x64281,x64282,f11(f9(x64283),x64284,f9(x64285))),f11(x64281,x64282,f11(f9(x64286),x64284,f9(x64287))))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8,10])).
% 171.69/171.81 cnf(6430,plain,
% 171.69/171.81 (E(f14(f11(f9(x64301),x64302,f9(x64303)),x64304),f14(f11(f9(x64305),x64302,f9(x64306)),x64304))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8,10,5,11])).
% 171.69/171.81 cnf(6431,plain,
% 171.69/171.81 (E(f11(x64311,f11(f9(x64312),x64313,f9(x64314)),x64315),f11(x64311,f11(f9(x64316),x64313,f9(x64317)),x64315))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8,10,5,11,9])).
% 171.69/171.81 cnf(6435,plain,
% 171.69/171.81 (E(f5(f11(f9(x64351),x64352,f9(x64353)),x64354),f5(f11(f9(x64355),x64352,f9(x64356)),x64354))),
% 171.69/171.81 inference(scs_inference,[],[6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,825,4240,2115,6396,52,53,6384,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8,10,5,11,9,6,15,7,13])).
% 171.69/171.81 cnf(6439,plain,
% 171.69/171.81 (P13(f7(f5(f13(f7(f13(a1))),f9(x64391))))),
% 171.69/171.81 inference(scs_inference,[],[54,6295,6336,6359,6357,6352,5617,4562,3484,6242,5699,5770,5920,304,5567,5754,2386,2051,5859,6404,6166,6401,6163,5555,6349,6178,3992,2774,6112,530,4235,825,4240,2115,6396,52,53,6384,6399,109,107,108,91,89,2,103,83,111,98,112,110,90,25,18,3,20,26,17,21,61,73,62,71,59,12,14,8,10,5,11,9,6,15,7,13,81,35,84])).
% 171.69/171.81 cnf(6456,plain,
% 171.69/171.81 (P9(f11(f9(x64561),f11(x64562,x64563,f5(x64564,a1)),f5(x64565,a1)),f11(a1,f11(x64562,x64563,f5(x64564,f9(x64566))),f5(x64565,f9(x64567))))),
% 171.69/171.81 inference(scs_inference,[],[6369,5758,107,108])).
% 171.69/171.81 cnf(6464,plain,
% 171.69/171.81 (P3(f5(f13(f5(f13(f7(f13(a1))),f9(x64641))),a1),f13(x64642))),
% 171.69/171.81 inference(rename_variables,[],[6375])).
% 171.69/171.81 cnf(6467,plain,
% 171.69/171.81 (P3(f7(x64671),x64671)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6469,plain,
% 171.69/171.81 (P12(f7(f5(f13(f7(f13(a2))),f9(x64691))))),
% 171.69/171.81 inference(scs_inference,[],[6373,6369,6344,6330,6380,5758,137,6375,53,6467,107,108,91,89,2,104,83,76])).
% 171.69/171.81 cnf(6470,plain,
% 171.69/171.81 (P3(f7(x64701),x64701)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6472,plain,
% 171.69/171.81 (P7(f5(a4,f5(f13(a1),a1)),f11(a8,a4,f5(f12(a8),f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[6373,6369,6344,6330,6380,5538,5758,137,6375,53,6467,107,108,91,89,2,104,83,76,110])).
% 171.69/171.81 cnf(6474,plain,
% 171.69/171.81 (~P7(f13(f5(f13(f10(a2)),f13(a1))),f10(f5(f13(f10(a2)),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6373,6369,6344,6395,6330,6380,5538,5758,137,6417,6375,53,6467,107,108,91,89,2,104,83,76,110,112])).
% 171.69/171.81 cnf(6476,plain,
% 171.69/171.81 (P2(f5(f13(f5(f13(f7(f13(a1))),f9(x64761))),a1))),
% 171.69/171.81 inference(scs_inference,[],[6373,6369,6344,6395,6330,6380,6327,5538,5758,137,6417,6375,53,6467,6470,107,108,91,89,2,104,83,76,110,112,90])).
% 171.69/171.81 cnf(6477,plain,
% 171.69/171.81 (~P7(x64771,f5(f13(f5(f13(f7(f13(a1))),f9(x64772))),a1))),
% 171.69/171.81 inference(rename_variables,[],[6327])).
% 171.69/171.81 cnf(6492,plain,
% 171.69/171.81 (~P9(f5(f13(a4),f13(a1)),f5(f13(f9(x64921)),f9(x64922)))),
% 171.69/171.81 inference(scs_inference,[],[54,6373,6369,6344,6395,6330,6380,6315,6327,6477,6390,5538,5758,5594,4751,137,2531,6427,6417,6375,5649,2212,4367,453,53,6467,6470,107,108,91,89,2,104,83,76,110,112,90,25,18,3,20,24,26,17,21])).
% 171.69/171.81 cnf(6496,plain,
% 171.69/171.81 (~P2(f11(a8,a4,f5(f12(a8),f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[54,6373,6369,6344,6395,6330,6380,6315,6327,6477,6390,5538,5758,5594,4751,137,2531,6427,6417,6375,5649,6097,2212,4367,453,53,6467,6470,107,108,91,89,2,104,83,76,110,112,90,25,18,3,20,24,26,17,21,64,72])).
% 171.69/171.81 cnf(6498,plain,
% 171.69/171.81 (P17(f5(f13(f5(f13(f7(f13(a1))),f9(x64981))),a1))),
% 171.69/171.81 inference(scs_inference,[],[54,6373,6369,6344,6395,6330,6380,6315,6327,6477,6390,5538,5758,5594,4751,137,304,2531,6427,6417,6375,6464,5649,6097,2212,4367,453,53,6467,6470,107,108,91,89,2,104,83,76,110,112,90,25,18,3,20,24,26,17,21,64,72,106])).
% 171.69/171.81 cnf(6511,plain,
% 171.69/171.81 (P7(f5(f5(f13(a4),f13(a1)),f5(f13(f9(x65111)),f9(x65112))),f5(f13(a4),f13(a1)))),
% 171.69/171.81 inference(scs_inference,[],[6492,109])).
% 171.69/171.81 cnf(6515,plain,
% 171.69/171.81 (~P3(f5(f13(a4),f13(a1)),f13(f5(f13(f9(x65151)),f9(x65152))))),
% 171.69/171.81 inference(scs_inference,[],[6492,6472,109,107,108])).
% 171.69/171.81 cnf(6521,plain,
% 171.69/171.81 (E(f5(x65211,f10(f5(x65212,a1))),f5(x65211,f10(f5(x65212,f9(x65213)))))),
% 171.69/171.81 inference(scs_inference,[],[6492,5761,6369,6472,6160,109,107,108,91,89,2])).
% 171.69/171.81 cnf(6528,plain,
% 171.69/171.81 (~P3(f13(f13(f12(a8))),f13(f13(f5(f10(a4),f9(x65281)))))),
% 171.69/171.81 inference(scs_inference,[],[6492,6439,5810,5761,5478,6369,2051,6472,6160,4235,53,109,107,108,91,89,2,34,94,112])).
% 171.69/171.81 cnf(6529,plain,
% 171.69/171.81 (P7(x65291,f13(x65291))),
% 171.69/171.81 inference(rename_variables,[],[2051])).
% 171.69/171.81 cnf(6535,plain,
% 171.69/171.81 (P7(f11(f9(x65351),f10(f5(x65352,a1)),f5(x65353,a1)),f13(f11(a1,f10(f5(x65352,f9(x65354))),f5(x65353,f9(x65355)))))),
% 171.69/171.81 inference(scs_inference,[],[6492,6439,6456,5810,5761,6476,5478,6218,6369,2051,6472,6160,3012,4235,2115,57,53,109,107,108,91,89,2,34,94,112,110,29,90])).
% 171.69/171.81 cnf(6551,plain,
% 171.69/171.81 (P9(f10(f5(f5(x65511,a1),f9(x65512))),f10(f5(f5(x65511,a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[58,6492,6474,6439,6406,6339,6386,6456,5810,5761,6476,5478,6218,6357,2493,6369,2051,6529,6428,6472,6160,6403,6375,5776,3012,4235,2115,57,53,177,109,107,108,91,89,2,34,94,112,110,29,90,25,18,3,20,26,17,21])).
% 171.69/171.81 cnf(6577,plain,
% 171.69/171.81 (P10(f5(a2,f5(f13(a1),f9(x65771))))),
% 171.69/171.81 inference(scs_inference,[],[6511,6515,6135,6528,5890,5464,44,107,108,91,89,2,86])).
% 171.69/171.81 cnf(6579,plain,
% 171.69/171.81 (P3(f14(a8,f11(a8,a4,f5(f12(a8),f14(a8,a4)))),f13(f12(a8)))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5890,5542,5464,44,107,108,91,89,2,86,114])).
% 171.69/171.81 cnf(6581,plain,
% 171.69/171.81 (P11(f5(f13(f5(f13(f5(f13(f9(x65811)),f9(x65812))),f9(x65813))),f9(x65814)))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5890,5542,6249,2800,5464,44,107,108,91,89,2,86,114,98])).
% 171.69/171.81 cnf(6589,plain,
% 171.69/171.81 (P2(f5(f13(f5(f13(f7(f13(a1))),f9(x65891))),f9(x65892)))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5780,5890,6476,5542,6249,2800,4440,2051,5464,44,453,107,108,91,89,2,86,114,98,112,110,29])).
% 171.69/171.81 cnf(6590,plain,
% 171.69/171.81 (E(f5(x65901,a1),f5(x65901,f9(x65902)))),
% 171.69/171.81 inference(rename_variables,[],[453])).
% 171.69/171.81 cnf(6593,plain,
% 171.69/171.81 (P3(f11(f9(x65931),f11(f9(x65932),x65933,f9(x65934)),f5(x65935,a1)),f13(f11(a1,f11(f9(x65936),x65933,f9(x65937)),f5(x65935,f9(x65938)))))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5780,5890,5635,6476,5542,6249,5522,2800,4440,2051,6431,5726,5464,44,453,107,108,91,89,2,86,114,98,112,110,29,90,25])).
% 171.69/171.81 cnf(6594,plain,
% 171.69/171.81 (E(f11(x65941,f11(f9(x65942),x65943,f9(x65944)),x65945),f11(x65941,f11(f9(x65946),x65943,f9(x65947)),x65945))),
% 171.69/171.81 inference(rename_variables,[],[6431])).
% 171.69/171.81 cnf(6597,plain,
% 171.69/171.81 (E(f11(x65971,f11(f9(x65972),x65973,f9(x65974)),x65975),f11(x65971,f11(f9(x65976),x65973,f9(x65977)),x65975))),
% 171.69/171.81 inference(rename_variables,[],[6431])).
% 171.69/171.81 cnf(6599,plain,
% 171.69/171.81 (E(f14(f11(f9(x65991),x65992,f9(x65993)),f10(f5(x65994,f9(x65995)))),f14(f11(f9(x65996),x65992,f9(x65997)),f10(f5(x65994,a1))))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5780,5890,5635,6476,5542,6249,5522,2800,4440,2051,6431,6594,6430,6162,2181,5726,5464,44,453,107,108,91,89,2,86,114,98,112,110,29,90,25,18,3])).
% 171.69/171.81 cnf(6602,plain,
% 171.69/171.81 (P9(f14(f9(x66021),f11(f9(x66022),x66023,f9(x66024))),f14(a1,f11(f9(x66025),x66023,f9(x66026))))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,5780,5890,5635,6476,5542,6249,5410,5522,2800,4440,2051,6431,6594,6425,6430,6162,2181,5726,5464,44,453,107,108,91,89,2,86,114,98,112,110,29,90,25,18,3,20])).
% 171.69/171.81 cnf(6616,plain,
% 171.69/171.81 (~P7(f5(f13(a4),f5(f10(a4),f9(x66161))),f5(f10(a4),f9(x66161)))),
% 171.69/171.81 inference(scs_inference,[],[49,6511,6515,6135,6528,6551,5780,6498,5890,5635,6124,6476,5239,5542,6249,3176,5410,5522,2800,4440,2051,6431,6594,6597,6425,6430,6162,6379,4451,2181,5726,5464,44,453,6590,107,108,91,89,2,86,114,98,112,110,29,90,25,18,3,20,26,23,17,21,60,113])).
% 171.69/171.81 cnf(6627,plain,
% 171.69/171.81 (~P3(f12(a8),f13(f5(f13(a1),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6535,4437,6589,72,107,108])).
% 171.69/171.81 cnf(6638,plain,
% 171.69/171.81 (P3(f7(x66381),x66381)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6640,plain,
% 171.69/171.81 (~P7(f13(f12(a8)),f14(a8,f11(a8,a4,f5(f12(a8),f14(a8,a4)))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6602,6579,6535,4437,6511,2396,6589,6171,825,53,72,107,108,91,89,2,97,79,112])).
% 171.69/171.81 cnf(6645,plain,
% 171.69/171.81 (P7(f7(f11(a8,a4,f5(f12(a8),f14(a8,a4)))),f11(a8,a4,f5(f12(a8),f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6602,6579,6535,4437,4461,6511,2396,5754,6496,6589,6171,825,53,6638,72,107,108,91,89,2,97,79,112,110,29,90])).
% 171.69/171.81 cnf(6646,plain,
% 171.69/171.81 (P3(f7(x66461),x66461)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6653,plain,
% 171.69/171.81 (~E(f11(a1,f9(x66531),a1),f13(f13(f11(f9(x66532),f9(x66533),a1))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6602,4057,6579,6535,4437,4461,4927,346,6327,6511,4364,2396,5754,6496,6589,6171,6423,4367,825,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20])).
% 171.69/171.81 cnf(6655,plain,
% 171.69/171.81 (P3(f11(f9(x66551),f11(f9(x66552),x66553,f9(x66554)),f5(x66555,a1)),f13(f11(a1,f11(f9(x66556),x66553,f9(x66557)),f5(x66555,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6327,6511,4364,2396,5754,6496,6589,6171,6423,5566,4367,825,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26])).
% 171.69/171.81 cnf(6661,plain,
% 171.69/171.81 (~P9(f5(f13(a2),f13(a1)),f5(f13(f7(f13(a1))),a1))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6327,3579,3748,6511,1355,4364,2396,5754,6496,6589,6171,6423,5566,4367,825,182,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21])).
% 171.69/171.81 cnf(6666,plain,
% 171.69/171.81 (P3(f10(f5(f13(f12(a8)),f13(a1))),f13(f5(f13(f12(a8)),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6327,3579,3748,6380,6511,1355,4364,2396,5754,6496,6589,6171,6423,1538,5566,4367,825,182,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21,62,71,73])).
% 171.69/171.81 cnf(6673,plain,
% 171.69/171.81 (E(f11(f5(f13(f7(f13(a1))),a1),x66731,x66732),f11(a1,x66731,x66732))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6327,3579,3748,6380,6476,6511,1355,4364,2396,5754,6496,6589,6171,6423,1538,5566,4367,825,182,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21,62,71,73,59,12,14,10,8])).
% 171.69/171.81 cnf(6677,plain,
% 171.69/171.81 (E(f11(x66771,f5(f13(f7(f13(a1))),a1),x66772),f11(x66771,a1,x66772))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6327,3579,3748,6380,6476,6511,1355,4364,2396,5754,6496,6589,6171,6423,1538,5566,4367,825,182,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21,62,71,73,59,12,14,10,8,5,11,6,9])).
% 171.69/171.81 cnf(6681,plain,
% 171.69/171.81 (~P2(f5(f13(f13(a1)),f13(f9(x66811))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6339,6327,3579,3748,6380,6476,6511,1355,4364,2396,5754,6496,6589,6171,6423,1538,5566,4367,825,182,53,6638,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21,62,71,73,59,12,14,10,8,5,11,6,9,15,7,13,70])).
% 171.69/171.81 cnf(6688,plain,
% 171.69/171.81 (P3(f7(x66881),x66881)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6693,plain,
% 171.69/171.81 (P16(f10(f5(f13(a2),f13(a1))))),
% 171.69/171.81 inference(scs_inference,[],[6581,6593,6602,4057,6579,6535,4437,4461,4927,346,6339,6327,3579,3748,6380,6124,6476,6511,1355,5928,4364,2396,5754,6496,6589,6171,6423,1538,5466,5566,6154,4367,2663,825,182,53,6638,6646,6688,72,107,108,91,89,2,97,79,112,110,29,90,25,3,18,20,26,19,17,21,62,71,73,59,12,14,10,8,5,11,6,9,15,7,13,70,2869,75,88,104])).
% 171.69/171.81 cnf(6721,plain,
% 171.69/171.81 (~P3(f13(f12(a8)),f13(f13(f5(f13(a1),a1))))),
% 171.69/171.81 inference(scs_inference,[],[6627,6645,6693,5905,6655,6577,6127,2051,4239,1481,107,108,91,89,2,95,35,112])).
% 171.69/171.81 cnf(6728,plain,
% 171.69/171.81 (P7(f11(f9(x67281),f11(f9(x67282),x67283,f9(x67284)),f5(x67285,a1)),f13(f11(a1,f11(f9(x67286),x67283,f9(x67287)),f5(x67285,a1))))),
% 171.69/171.81 inference(scs_inference,[],[6627,6645,6693,5905,6655,4194,6577,6127,2051,2761,4239,1481,57,107,108,91,89,2,95,35,112,110,90])).
% 171.69/171.81 cnf(6744,plain,
% 171.69/171.81 (P7(f5(f9(x67441),f11(f9(x67442),x67443,f9(x67444))),f13(f5(a1,f11(f9(x67445),x67443,f9(x67446)))))),
% 171.69/171.81 inference(scs_inference,[],[6627,6645,6693,5905,6655,6616,6061,6653,4194,6577,6127,4136,5733,752,6476,2051,6426,2761,3615,2665,4642,4319,4239,1481,57,53,107,108,91,89,2,95,35,112,110,90,29,25,3,18,20,26,17])).
% 171.69/171.81 cnf(6747,plain,
% 171.69/171.81 (P9(f11(f5(f13(f7(f13(a1))),a1),f9(x67471),a1),f11(a1,a1,f9(x67472)))),
% 171.69/171.81 inference(scs_inference,[],[6627,6645,6693,5905,6655,6616,6061,6653,4194,6577,6127,4136,3233,5733,752,6476,2051,6426,6673,2761,3615,2665,4642,4319,4239,1481,57,53,107,108,91,89,2,95,35,112,110,90,29,25,3,18,20,26,17,21])).
% 171.69/171.81 cnf(6758,plain,
% 171.69/171.81 (~P3(f5(f13(a2),f13(a1)),f13(f5(f13(f7(f13(a1))),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6661,108])).
% 171.69/171.81 cnf(6768,plain,
% 171.69/171.81 (P3(f7(x67681),x67681)),
% 171.69/171.81 inference(rename_variables,[],[53])).
% 171.69/171.81 cnf(6770,plain,
% 171.69/171.81 (P3(f7(f11(a8,a4,f5(f12(a8),f14(a8,a4)))),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[6661,6728,6747,6645,5676,5542,6599,6744,53,108,107,91,89,2,79,112])).
% 171.69/171.81 cnf(6776,plain,
% 171.69/171.81 (~P7(f13(x67761),x67761)),
% 171.69/171.81 inference(rename_variables,[],[2115])).
% 171.69/171.81 cnf(6778,plain,
% 171.69/171.81 (P3(f5(f11(f9(x67781),x67782,f9(x67783)),f9(x67784)),f13(f5(f11(f9(x67785),x67782,f9(x67786)),a1)))),
% 171.69/171.81 inference(scs_inference,[],[6661,6728,6747,6640,6645,5676,5542,2800,2051,6435,6599,6681,6744,2115,53,108,107,91,89,2,79,112,110,90,25])).
% 171.69/171.81 cnf(6779,plain,
% 171.69/171.81 (E(f5(f11(f9(x67791),x67792,f9(x67793)),x67794),f5(f11(f9(x67795),x67792,f9(x67796)),x67794))),
% 171.69/171.81 inference(rename_variables,[],[6435])).
% 171.69/171.81 cnf(6781,plain,
% 171.69/171.81 (E(f5(f11(f9(x67811),x67812,f9(x67813)),f10(f5(x67814,a1))),f5(f11(f9(x67815),x67812,f9(x67816)),f10(f5(x67814,f9(x67817)))))),
% 171.69/171.81 inference(scs_inference,[],[6661,6728,6747,6640,6645,5676,5542,2800,2051,6435,6779,6599,6521,6681,6744,2115,53,108,107,91,89,2,79,112,110,90,25,3])).
% 171.69/171.81 cnf(6783,plain,
% 171.69/171.81 (E(f5(f11(f9(x67831),x67832,f9(x67833)),x67834),f5(f11(f9(x67835),x67832,f9(x67836)),x67834))),
% 171.69/171.81 inference(rename_variables,[],[6435])).
% 171.69/171.81 cnf(6785,plain,
% 171.69/171.81 (E(f5(f11(f9(x67851),x67852,f9(x67853)),x67854),f5(f11(f9(x67855),x67852,f9(x67856)),x67854))),
% 171.69/171.81 inference(rename_variables,[],[6435])).
% 171.69/171.81 cnf(6788,plain,
% 171.69/171.81 (E(f5(f11(f9(x67881),x67882,f9(x67883)),x67884),f5(f11(f9(x67885),x67882,f9(x67886)),x67884))),
% 171.69/171.81 inference(rename_variables,[],[6435])).
% 171.69/171.81 cnf(6794,plain,
% 171.69/171.81 (P9(f11(f9(x67941),f5(f13(f7(f13(a1))),a1),a1),f11(f9(x67942),a1,a1))),
% 171.69/171.81 inference(scs_inference,[],[6661,6728,6747,6640,4170,6645,5676,4504,5542,2800,2051,6435,6779,6783,6785,6788,6599,6521,6681,6744,6677,2924,2115,6776,53,6768,108,107,91,89,2,79,112,110,90,25,3,18,20,26,17,21])).
% 171.69/171.81 cnf(6797,plain,
% 171.69/171.81 (P7(f5(f10(a4),f5(f13(a1),a1)),f10(a4))),
% 171.69/171.81 inference(scs_inference,[],[6661,6728,6747,6640,4170,3933,6645,5676,4504,5542,2800,2051,6435,6779,6783,6785,6788,6599,6521,6681,6744,6677,2924,2115,6776,53,6768,108,107,91,89,2,79,112,110,90,25,3,18,20,26,17,21,109])).
% 171.69/171.81 cnf(6829,plain,
% 171.69/171.81 (P7(f5(f10(a4),f5(f13(a1),a1)),a4)),
% 171.69/171.81 inference(scs_inference,[],[6797,6758,6469,6063,6778,6721,5342,5969,4293,4569,6666,4235,1481,53,108,107,91,89,2,83,32,98,112,110])).
% 171.69/171.81 cnf(6831,plain,
% 171.69/171.81 (~P3(f5(a4,f14(a8,a4)),f11(a8,a4,f5(a4,f14(a8,a4))))),
% 171.69/171.81 inference(scs_inference,[],[6797,6758,6469,6063,6778,6721,5342,5969,4293,4569,4308,6666,5726,4235,1481,53,108,107,91,89,2,83,32,98,112,110,90])).
% 171.69/171.81 cnf(6873,plain,
% 171.69/171.81 (~P3(a4,f13(f11(a8,a4,f5(a4,f14(a8,a4)))))),
% 171.69/171.81 inference(scs_inference,[],[6831,4087,6291,6797,263,6781,6829,108,107,91,89,2,112])).
% 171.69/171.81 cnf(6879,plain,
% 171.69/171.81 (P7(f7(f11(a8,a4,f5(f12(a8),f14(a8,a4)))),f12(a8))),
% 171.69/171.81 inference(scs_inference,[],[6831,6770,6794,4087,6291,6797,263,6781,6829,2181,336,108,107,91,89,2,112,110,90])).
% 171.69/171.81 cnf(6929,plain,
% 171.69/171.81 ($false),
% 171.69/171.81 inference(scs_inference,[],[6879,6873,5662,6593,108,107,91]),
% 171.69/171.81 ['proof']).
% 171.88/171.82 % SZS output end Proof
% 171.88/171.82 % Total time :171.200000s
%------------------------------------------------------------------------------